signature stringlengths 16 32 | problem_type stringclasses 12
values | optimization_type stringclasses 3
values | graph stringlengths 52 2.28k | solution stringlengths 235 4.05k | cost_hamiltonian stringlengths 11 5.66k | ansatz_id int64 1 18 | number_of_qubits int64 1 16 | number_of_layers int64 1 4 | exact_solution stringlengths 155 2.61k | circuit_with_params stringlengths 126 44.7k | circuit_with_symbols stringlengths 146 19.5k ⌀ | problem_specific_attributes stringclasses 116
values | adaptive_process stringlengths 33 186k | qiskit_pauli_strings listlengths 1 177 | qiskit_coefficients listlengths 1 177 | improvement_ratio float64 0 1 | optimized_params listlengths 2 278 | optimization_info dict | total_iterations int64 1 500 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
aaa0b19e64bf3c35281517d1fd2e9593 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}]} | {"states": [39, 23], "expectation_value": -0.5658034982932227, "params": [[-0.0492, -0.0534, -0.0589, -0.064], [0.0656, 0.061900000000000004, 0.0587, 0.0635]], "bitstrings": ["011000", "101000"], "total_optimization_steps": 10, "probabilities": [0.026232196346374297, 0.026719766160093736], "optimization_time": 3.828063... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["011000", "101000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3082490255491387) q[0];
cx q[1], q[0];
rz(-0.4813792428916286) q[0];
rx(-0.0708269652138156) q[0];
h q[2];
cx q[1], q[2];
rz(0.3082490255491387) q[2];
cx q[1], q[2];
rz(0.38370389231516544) q[1];
rx(-0.07082696521381568) q[1];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIZZII",
"ZIIZII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1.5,
0,
0,
0
] | 0.977854 | [
0.3082490255491387,
0.3837038923151648,
-0.48137924289163025,
0.26332802912302594,
-0.07082696521381564,
-0.3050505286502088,
0.5806483285648956,
0.6562418208675107,
0.7543675324261974,
-0.03625229813212085,
0.44867521434950836,
0.9051415988683418,
0.9758359490263386
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 18 |
01c79553cd838cd252f6e60dedff49e5 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 3, "source": 2, ... | {"states": [101, 127], "expectation_value": -8.40099804545785, "params": null, "bitstrings": ["10011010", "10000000"], "total_optimization_steps": 81, "probabilities": [0.13187941624328978, 0.7638268127257326], "optimization_time": 129.77478170394897} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -2.0 * (Z(3) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.0845213497005627) q[0];
rz(-pi) q[1];
ry(-3.0455609286004646) q[1];
h q[2];
ry(1.4919071887247282) q[2];
h q[3];
ry(0.7240132628322454) q[3];
h q[4];
ry(0.9793324905949224) q[4];
h q[5];
ry(1.5402453113042955) q[5];
h q[6];
cx q[6], q[3];
ry(-0.72401326283... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIZIZ",
"IIIIIZZI",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IZIIIZII",
"IZIIIIZI",
"IZIIZIII",
"IIIZIIZI",
"IZIZIIII",
"IIIZZIII",
"IIZIIZII",
"IIZIIIZI",
"IZZIIIII",
"IIZZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"ZIIIIIII",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII",
"IIZIIII... | [
-0.25,
-0.5,
-0.75,
0.5,
-0.5,
-0.75,
-0.5,
-2,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-1,
0.5,
-0.25,
-0.25,
-0.75,
-1.25,
0.5,
-0.75,
2.25
] | 0.977783 | [
1.5402453113042955,
1.4480265256644909,
-0.6838943024593398,
1.4919071887247282,
1.6837402841554543,
1.958664981189845,
-1.8541117649949548,
1.9567893576185749,
2.1258717747278064,
-0.1690426994011254,
3.770151024236896,
-0.7583358906758061,
-0.4200762250226027,
1.8848100973159259,
-1.08... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 81 |
8bfdc67b849fbd87b046066dfe87fda5 | 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": 8}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"sour... | {"states": [202, 458], "expectation_value": -2.071661124471208, "params": [0.3924, 0.3985, 0.399, 0.3987, 0.4033, 0.4058, 0.058800000000000005, 0.056100000000000004, 0.0529, 0.046400000000000004, 0.40790000000000004, 0.40700000000000003, 0.0679, 0.0695, 0.40900000000000003, 0.4078, 0.3904, 0.3866, 0.3902, 0.3896, 0.400... | 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(8) + 0.0 * Z(0) + -1.0 * Z(6) + 0.0 * Z(1) + -1.0 * Z(4) + 0.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(7) + 0.0 * Z(5) | 13 | 9 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["100010110", "010110001", "100110100", "000110101", "000010111"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.8436623697034453) q[0];
rz(-0.06930016493884253) q[0];
ry(0.8745865998177477) q[1];
ry(0.680082620231901) q[2];
ry(0.18826440625984092) q[3];
ry(0.12358905216246321) q[4];
ry(0.7383841580195888) q[5];
ry(0.05000857224268533) q[6];
ry(0.5354455507069166) 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": []} | [
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIZIIIIZI",
"IIIIZIZII",
"IIZIIZIII",
"IIIIZZIII",
"IZIIIZIII",
"IIIZZIIII",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII",
"IZIIIIIII",
"IIIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1,
0,
-1,
0,
-1,
0,
0
] | 0.972014 | [
0.8436623697034453,
0.8745865998177477,
0.680082620231901,
0.18826440625984092,
0.12358905216246321,
0.7383841580195888,
0.05000857224268533,
0.5354455507069166,
0.045449467631497514,
-0.13860032987768506,
-0.17022076683023443,
0.07996576089978044,
-0.0026061439686936028,
0.292070645959521... | {
"n_parameters": 71,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 16 |
f6f1c7b9b1d84ce9ee38fd30840502b2 | 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": [213, 205], "expectation_value": -120.13992931350829, "params": [0.0029000000000000002, -2.5408, -0.0028, 0.8731, 0.0028, 0.6714, 1.5772000000000002, 0.0066, 1.5691000000000002, 0.0021000000000000003, 0.0026000000000000003, -1.8225, 2.0777, -0.8253, -1.2149, 1.016, 1.6178000000000001, -0.0023, 0.0028, 1.8370... | 8.0 * (Z(1) @ Z(4)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(5) @ Z(3)) + 8.0 * (Z(6) @ Z(7)) + 8.0 * (Z(8) @ Z(6)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(10) @ Z(8)) + 8.0 * (Z(10) @ Z(9)) + 8.0 * (Z(0) @ Z(10)) + 17.0 * Z(4) + -5.0 * Z(1) + 8.5 * Z(3) + 1.0 * Z(5) + -2.0 * Z(7) + 0.5 * Z(6) + 17.5 * Z(8) + 2.... | 16 | 11 | 2 | {"smallest_eigenvalues": [-126.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -115.5, "smallest_bitstrings": ["11100110010"], "largest_eigenvalue": 149.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.0694978999913963) q[0];
rz(-2.983191928378611) q[0];
rx(-0.03795452886843475) q[1];
rz(1.1078430798034025) q[1];
cx q[1], q[0];
rz(0.4378664993512957) q[0];
cx q[1], q[0];
rx(0.05057269519375293) q[0];
rz(0.04082018563880663) q[0];
rz(-0.3885870751777166) q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZI",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIIIZIZIII",
"IIIZZIIIIII",
"IIZIZIIIIII",
"IZZIIIIIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"ZIIIIIIIIIZ",
"IIIIIIZIIII",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIIIZIIIIII",
"IIZIIIIIIII",
"IZIIIIIIIII",
"ZIIIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
17,
-5,
8.5,
1,
-2,
0.5,
17.5,
2,
17.5,
-3,
-15.5
] | 0.970594 | [
-0.06949789999139631,
-2.5453254290273155,
-0.03795452886843475,
1.1078430798034025,
-0.005947275627190318,
0.7551151319076312,
1.4736381157540803,
0.15027711218077552,
1.5991704751304063,
0.018323288922544298,
0.17817707460600063,
-1.7827693541028864,
2.2152576990901487,
-1.01599767191962... | {
"n_parameters": 55,
"n_qubits": 11,
"optimal_eigenvalue": -126.5,
"target_ratio": 0.97,
"target_value": -122.705
} | 8 |
ee3d1657115ac7fe63817a76eff6e74f | 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": 16, "source": 0, "target": 4}, {"weight": 4, "source": 2, "target": 3}, {"weight": 12, "source": 3, "targ... | {"states": [181, 174], "expectation_value": -4.679644921101413, "params": [[-0.0298], [0.0252]], "bitstrings": ["101001010", "101010001"], "total_optimization_steps": 10, "probabilities": [0.002490305726807627, 0.0025718382437567005], "optimization_time": 2.1079041957855225} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["101010001"], "largest_eigenvalue": 170.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.011320181029350375) q[0];
cx q[1], q[0];
rz(1.6845218817811496) q[0];
rx(1.643152641776864) q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.011320181029350375) q[2];
cx q[3], q[2];
rz(1.694561325739155) q[2];
rx(1.6431526417768643) q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
12.5,
-3,
15,
-2.5,
15.5,
17,
23.5,
15,
9.5
] | 0.979463 | [
-0.011320181029350375,
-1.538475421558327,
1.684521881781149,
-1.5682318728391689,
1.6945613257391543,
0.9835395433700487,
-1.623624962021536,
-1.7004061833926134,
1.5050717042233193,
1.6431526417768643
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -86,
"target_ratio": 0.97,
"target_value": -83.42
} | 54 |
7d035ca1bf1f85a5b9e73dc65bf927bc | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 3}, {"weight": 14, "source": 0, "target": 6}, {... | {"states": [252, 124], "expectation_value": -67.44221462638257, "params": [1.5642, 0.0022, 3.1399000000000004, 0.0032, 3.1399000000000004, 0.0022, 3.1399000000000004, 0.009000000000000001, 3.1399000000000004, 0.0061, 3.1394, 0.001, 0.0022, 0.006500000000000001, 0.1642, 0.0036000000000000003, 0.007500000000000001, 0.006... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(5) @ Z(0)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(5)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 14.5 * Z(1) ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["10000011"], "largest_eigenvalue": 151.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.8075440322763315) q[0];
rz(-0.17233184418281144) q[0];
rx(3.124138492170769) q[1];
rz(0.011419615743145012) q[1];
rx(3.124138492170769) q[2];
rz(-0.15260422056210507) q[2];
rx(3.124138492170769) q[3];
rz(-0.006212989049968726) q[3];
rx(3.124138492170769) q[4];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIZIIIIZ",
"IIZIZIII",
"IIIZIIIZ",
"IIIZIZII",
"IIZZIIII",
"IZIIIIZI",
"ZIIIIZII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
14.5,
15.5,
21,
15,
14,
15,
-1.5,
1.5
] | 0.975181 | [
0.8075440322763316,
-0.15260422056210507,
3.124138492170769,
0.011419615743145012,
-0.006212989049968726,
-0.07324976718967273,
2.9640723805291644,
0.01532535124030912,
0.17816633416289118,
-0.24152388693238136,
0.030536062199610955,
-0.03945524724141247,
0.028897191296006146,
-0.008104990... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -72,
"target_ratio": 0.97,
"target_value": -69.84
} | 6 |
ab38e7699e076f39debd51236acd2336 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [19, 31], "expectation_value": -0.7350870918575689, "params": [[-0.0022, 0.0022, 0.4041, 0.4073, 0.0025, 0.0019], [-0.3675, 0.401, 0.4016, 0.39930000000000004, 0.4077, 0.38120000000000004], [0.3688, 0.40800000000000003, 0.4058, 0.4035, 0.4082, -0.3815]], "bitstrings": ["101100", "100000"], "total_optimizatio... | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.75 * (Z(2) @ Z(3)) + 0.75 * (Z(5) @ Z(0)) + -1.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + 1.0 * Z(1) + -0.25 * Z(0) + -1.5 * Z(3) + 0.75 * Z(4) + 0.75 * Z(2) + -0.75 * Z(5) | 9 | 6 | 3 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 7.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h 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(1.7953384840481424e-08) q[0];
h q[0];
rx(-4.752371779122262e-08) q[1];
h q[1];
rx(1.7896803644321402) q[2];
h q[2];
rx(1.0850151974205464) q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IZIIZI",
"IZZIII",
"IIZZII",
"ZIIIIZ",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
-0.5,
-1.25,
-0.25,
-0.75,
-0.75,
0.75,
-1.25,
-0.25,
1,
-0.25,
-1.5,
0.75,
0.75,
-0.75
] | 0.333333 | [
1.7953384840481424e-8,
-4.752371779122262e-8,
1.7896803644321402,
1.0850151974205464,
-5.648034782545892e-8,
1.8402525196265138e-8,
-0.5321727826909078,
0.15155709060402683,
0.3534217240299965,
1.4110817758126415,
1.429681773746566,
1.053028979848131,
0.5840799006992541,
1.3143299830258015... | {
"n_parameters": 18,
"n_qubits": 6,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 325 |
-8700814918655973787 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 4, 7], [0, 1], [5, 6], [2, 4, 5], [1, 4, 7], [0, 6], [0, 8, 3], [2, 6], [1, 5, 7], [1, 2], [8, 3, 5], [3, 7], [8, 2, 7], [2, 3, 5], [0, 2, 5], [0, 2, 7], [8, 6, 7], [8, 1, 6]]} | {"states": [283, 331], "expectation_value": -0.20209354982298366, "params": [[0.0693], [-0.0683]], "bitstrings": ["011100100", "010110100"], "total_optimization_steps": 10, "probabilities": [0.0022334938153940687, 0.00227630519918246], "optimization_time": 4.742254734039307} | 0.3333333333333333 * (Z(2) @ Z(4)) + 0.3333333333333333 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(5) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.333333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.999999999999999, "smallest_bitstrings": ["010110100"], "largest_eigenvalue": 15.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(0.13000567800474552) q[2];
cx q[4], q[2];
h q[5];
h q[6];
h q[7];
cx q[4], q[7];
rz(0.13000567800474552) q[7];
cx q[4], q[7];
cx q[2], q[7];
cx q[4], q[1];
rz(-0.06421079911289128) q[1];
cx q[4], q[1];
cx q[4], 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[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[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[7];
rz(x0) q[7... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZII",
"IZIIZIIII",
"IZIIIIZII",
"IIIIIIZIZ",
"IZIIIIIIZ",
"IIIIZIIZI",
"IIIIIIZZI",
"IZIIIIIZI",
"IIIIIIIZZ",
"IIIZZIIII",
"IIIZIIZII",
"IZIZIIIII",
"IIIZIIIIZ",
"IIIZIIIZI",
"IIZIIIZII",
"IZZIIIIII",
"IIZIIIIIZ",
"IIZIIIIZI",
"IIZZIIIII",
"ZIIIIIZII",
"ZZIIIIIII",
"... | [
0.3333333333333333,
0.3333333333333333,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.... | 0.457967 | [
0.13000567800474552,
0.5555677386318415,
-0.06421079911289128,
0.15730741495463335,
1.347999447618234,
-0.81840940124306
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -5.333333333333332,
"target_ratio": 0.97,
"target_value": -5.173333333333332
} | 180 |
d553277f50a2caebf7d64bfa2366fbf1 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4... | {"states": [106, 43], "expectation_value": -9.239155916146645, "params": null, "bitstrings": ["0010101", "1010100"], "total_optimization_steps": 44, "probabilities": [0.08729663983404472, 0.7841655267931145], "optimization_time": 47.41298484802246} | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(5)) + 0.5 * Z(3) + -0.25 * Z(0) + -2.25 * Z(4) + 2.0 * Z(1) + -1.5 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-10.0, -10.0, -10.0, -10.0, -10.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -7.0, "smallest_bitstrings": ["1111110", "1111100", "1010100", "1000100", "1011100"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6244170222714969) q[0];
h q[1];
ry(0.7824975594798811) q[1];
h q[2];
ry(-1.2488340445429937) q[2];
h q[3];
ry(0.750036580810066) q[3];
h q[4];
ry(-1.2488340445429937) q[4];
h q[5];
ry(0.7963883987253267) q[5];
h q[6];
cx q[6], q[0];
ry(0.6244170222714969) ... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IIZIIIZ",
"IIIZIZI",
"IIZIIZI",
"IIIZZII",
"IIIIZZI",
"IZIZIII",
"IZZIIII",
"IZIIIZI",
"ZIIIIIZ",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"ZIIIIII"
] | [
-1,
-0.75,
-1,
-1.25,
-0.75,
-0.75,
-0.25,
-0.25,
-1,
2,
-1,
0.5,
-0.25,
-2.25,
2,
-1.5,
0.5,
1
] | 0.96275 | [
-1.2488340445429937,
1.6043294875879333,
-1.0691927359798892,
1.5927767974506535,
1.5649951189597622,
2.892550652166787,
-0.8386926862915725,
1.500073161620132,
-2.8460184121839456,
-0.03428641686045621,
-0.14060491147893758,
-0.758107943261047,
0.6149085041257748,
0.16605770370895406,
1... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 500 |
e05275d14653e116f32640e6b82829a5 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 20, "source": 0, "target": 5}, {"weight": 14, "source": 1, "tar... | {"states": [342, 244], "expectation_value": -14.478090934464772, "params": [[0.023700000000000002, 0.014400000000000001], [-0.0432, -0.0596]], "bitstrings": ["010101001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.0045136368393059, 0.005529656990048756], "optimization_time": 3.195190191268921} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(6)) + 19.0 * Z(1) + 13.5 * Z(0) + 11.0 *... | 1 | 9 | 2 | {"smallest_eigenvalues": [-79.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 146.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.4425492888678123) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.4425492888678123) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.4425492888678123) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.4425492888678123) q[3];
cx q[0], 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": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZZIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIZIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
19,
13.5,
11,
13,
16,
9,
-3,
6,
3.5
] | 0.971772 | [
-0.4425492888678123,
2.0805051341880763,
-0.8059424329398818,
0.909658234555579,
0.5864643823955256,
0.4520557735563614,
2.1315789794619,
-1.545508813975371,
-1.3406375248769506,
-0.9044464262927957,
0.13583358901083126,
0.48780027186058117,
-0.6613907779366653,
-0.765987281107893,
0.924... | {
"n_parameters": 21,
"n_qubits": 9,
"optimal_eigenvalue": -79.5,
"target_ratio": 0.97,
"target_value": -77.115
} | 63 |
06d1453a803eab917f2a75bdec826274 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 5, "target": 6}]} | {"states": [63, 31], "expectation_value": -8.526419522741405, "params": [[[1.6245, 0.0007], [0.0023, 0.0002], [0.0026000000000000003, 0.0078000000000000005], [0.0026000000000000003, 0.0098], [-0.002, 0.0046], [3.1588000000000003, 0.0012000000000000001]]], "bitstrings": ["000000", "100000"], "total_optimization_steps": ... | -2.0 * (Z(1) @ Z(4)) + -2.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + -2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * Z(4) + 0.5 * Z(1) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) + -0.5 * Z(0) | 2 | 6 | 1 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(2.440524368464655) q[0];
rz(-0.08199686231715675) q[0];
rx(-0.07601013128151535) q[1];
rz(0.14545140228604084) q[1];
rx(-0.11122855468000444) q[2];
rz(0.024776737921142995) q[2];
rx(-0.11122855468000444) q[3];
rz(-0.14117244375367316) q[3];
rx(-0.027447548700509975) ... | 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;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IZIIZI",
"IZIZII",
"IIIZZI",
"IZZIII",
"IIZZII",
"ZZIIII",
"ZIIIZI",
"ZIIZII",
"IZIIII",
"IIIIZI",
"IIIZII",
"IIZIII",
"ZIIIII",
"IIIIIZ"
] | [
-2,
-2.5,
0.5,
0.5,
-1.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.978335 | [
2.440524368464655,
-0.08199686231715675,
-0.07601013128151535,
0.14545140228604084,
-0.11122855468000444,
0.024776737921142995,
-0.14117244375367316,
-0.027447548700509975,
0.005230209223716451,
3.1683552462682085,
0.18209557394998455
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 7 |
2c71b067381ef1c33c379c68c7a1f361 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4},... | {"states": [463, 511], "expectation_value": -14.105747196779436, "params": null, "bitstrings": ["11000110000", "11000000000"], "total_optimization_steps": 100, "probabilities": [0.14816628003550553, 0.36138429786171394], "optimization_time": 280.8846950531006} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.5 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(5)) + 1.0 * (Z(9) @ Z(6)) + -2.5 * (Z(9) @ Z(5)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * (Z(10) @ Z(6)) + -3.0 * (Z(10) @ Z(5)) + 0.5 * (Z(10) @ Z(7)) + 0.5 * (Z(10) @ Z(9)) +... | 1 | 11 | 1 | {"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["11000000000"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(-1.6903996198568967) q[0];
rz(-pi) q[1];
ry(-0.23886872914101348) q[1];
h q[2];
ry(0.2630923403120054) q[2];
h q[3];
ry(0.9577470233378113) q[3];
h q[4];
h q[5];
ry(0.2630923403120054) q[5];
h q[6];
h q[7];
ry(0.2630923403120054) q[7];
h q[8];
ry(0.263092340... | null | {"node": 0} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[10], 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... | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIIZIZII",
"IIIIZZIIIII",
"IIIZZIIIIII",
"IIIZIZIIIII",
"IZIIZIIIIII",
"IZIIIZIIIII",
"IZIZIIIIIII",
"ZIIIZIIIIII",
"ZIIIIZIIIII",
"ZIIZIIIIIII",
"ZZIIIIIIIII",
"IIZIIZIIIII",
"ZIZIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZI... | [
-1.5,
-1.5,
-1.5,
0.5,
-2.5,
-2,
-2.5,
1,
-2.5,
-2,
0.5,
-3,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.971489 | [
0.5261846806240108,
1.0991755063821804,
2.240636114140289,
-0.5792907933365754,
1.4365861706268375,
0.21306166089022563,
0.45358297795237745,
0.08567003434263909,
1.6371767945390743,
1.9154940466756225,
-1.9959010417352376,
-1.6903996198568967,
1.823290820555195,
1.5630996652331441,
-1.3... | {
"n_parameters": 65,
"n_qubits": 11,
"optimal_eigenvalue": -23.5,
"target_ratio": 0.97,
"target_value": -22.794999999999998
} | 304 |
34d5dc2e9aad35b904c913d8064475cf | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 4}, {"weight": 14, "source": 0, "target": 8}, {"weight": 19, "sourc... | {"states": [362, 234], "expectation_value": -27.603664866189476, "params": null, "bitstrings": ["010010101", "100010101"], "total_optimization_steps": 100, "probabilities": [0.09285138134402245, 0.14514992083020858], "optimization_time": 144.972181558609} | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 12.0 * Z(2) + 9.0 * Z(0) + 13.0 * Z(1) + 9.5 * Z(3) + 9.5 * Z(5) + -3.0 * Z(4) + 2.0 * Z(6) + 8.5 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 114.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-1.6494726613948478) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-0.2282545894292129) q[1];
rz(-pi) q[2];
ry(-1.5758659650345728) q[2];
h q[3];
ry(63.96144940718184) q[3];
cx q[3], q[1];
ry(-3.5090997176923766) q[1];
cx q[3], q[1];
ry(5.855094360550592) q[3];
cx q[1], q[3];... | null | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(63.0918) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIZZIIII",
"IIZIIIIZI",
"IZZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
12,
9,
13,
9.5,
9.5,
-3,
2,
8.5,
3.5
] | 0.972058 | [
63.806887745058965,
17.338271785296804,
63.96144940718184,
7.018199435384753,
11.710188721101185,
4.5318791449975,
1.5633390008792403,
-0.12690827253619685,
0.47597344806441794,
-0.3120845216869001,
0.35421875147235715,
-0.06875244303751611,
0.2948575552749345,
-0.08224529955035009,
0.46... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -71,
"target_ratio": 0.97,
"target_value": -68.87
} | 121 |
41c6fd253707f3493d5d4e5aa1da9109 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, ... | {"states": [11, 1], "expectation_value": -0.613217258880776, "params": [[0.057800000000000004], [-0.055600000000000004]], "bitstrings": ["11110100", "11111110"], "total_optimization_steps": 10, "probabilities": [0.004957119116327436, 0.005304855002389227], "optimization_time": 2.27797532081604} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(7) @ Z(1)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.28125291389735185) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.3738758539816298) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3738758539816298) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.28125291389735185) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIZIIIII",
"IIIIZIZI",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
-0.5,
-1,
-1,
-0.5,
-0.5,
-1,
-1,
-0.5,
-0.25,
-1,
-0.25,
-0.75,
3.25,
-0.25,
-0.25,
-1,
1.25,
-0.25,
-2,
1,
-0.5,
-1,
2.25,
-0.75
] | 0.512164 | [
-0.28125291389735185,
-0.3738758539816298,
-0.4435290057877126,
-0.2655182352206827,
0.17641094697920026,
0.5370834376657896,
-1.2333040601047265,
0.9898846684859016,
1.6266519609754448,
-1.1954762728719215
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 249 |
fc2a0aab6aa71710f421b73642e2514f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [12, 50], "expectation_value": -1.01270502336366, "params": [[0.0611, 0.0631, 0.0442, 0.0137], [-0.0645, -0.0635, -0.045700000000000005, -0.033]], "bitstrings": ["110011", "001101"], "total_optimization_steps": 10, "probabilities": [0.026115473688668005, 0.027757966422338763], "optimization_time": 8.37242078... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + 0.0 * Z(1) + -1.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["001101"], "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(0.11242251953068062) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.11242251953068062) q[3];
cx q[0], q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.11242251953068062) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[4];
rz(0.1124225... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"ZIIZII",
"ZIIIIZ",
"ZIZIII",
"IIZIZI",
"IZIZII",
"IZZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
0,
-1
] | 0.886139 | [
0.11242251953068062,
0.7188618997790892,
-1.218608868119396,
0.06219707367807151,
-1.3014966604495342,
0.814754047515083,
-0.7136669890576299,
0.4534445368680647,
-0.6952065532198899,
0.5275019770757594,
0.01888035805324072,
-1.6254864120474146,
-0.7479707343602362,
0.5318744980053659,
0... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 500 |
e087bb7a2ab5b6cd6822b49db98164ad | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4... | {"states": [39, 47], "expectation_value": -5.062697837579946, "params": null, "bitstrings": ["1011000", "1010000"], "total_optimization_steps": 38, "probabilities": [0.3117844399029031, 0.3119944309396887], "optimization_time": 29.36177682876587} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + 1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + 1.0 * Z(4) + -0.25 * Z(0) + 0.5 * Z(5) + 0.5 * Z(1) + -2.0 * Z(2) + 0.25 * Z(3) + 0.... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000", "1010000", "1111100", "1110100", "1011000"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.684079612108113) q[0];
h q[1];
h q[2];
ry(-1.6130910725056342) q[2];
h q[3];
h q[4];
ry(0.8705312656325608) q[4];
cx q[1], q[4];
ry(-0.8705312656325608) q[4];
cx q[1], q[4];
ry(0.5638362462260424) q[1];
cx q[4], q[1];
ry(-0.5638362462260424) q[1];
cx q[4],... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIZIIIZ",
"IZIIIIZ",
"IIZIIZI",
"IIZIZII",
"IZIIZII",
"IIIIZZI",
"IIIZZII",
"ZIZIIII",
"ZIIIIIZ",
"ZZIIIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"ZIIIIII"
] | [
-0.5,
-0.5,
-1.25,
-0.75,
-0.25,
-0.75,
-0.25,
-0.5,
1.25,
-0.75,
1,
-0.25,
0.5,
0.5,
-2,
0.25,
0
] | 0.971879 | [
-1.6130910725056342,
1.7410625312651216,
1.127672492452085,
-1.368159224216226,
1.3090628769470818,
-0.18059820948263738,
1.4980182789583685,
0.09301418289946432,
-0.5987902664515456,
0.00709990805003651,
0.28724048981292466,
0.025051227171103974,
-0.11161857880706907,
-0.10313587200409623... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 9 |
be7e2cb61602e2e9b2101189bb676973 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capac... | {"states": [511, 479], "expectation_value": -0.7319230863870387, "params": [[0.07440000000000001], [-0.0663]], "bitstrings": ["1000000000", "1000100000"], "total_optimization_steps": 10, "probabilities": [0.0016318504252552774, 0.0016459224544879377], "optimization_time": 3.742469310760498} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(2)) + -0.25 * (Z(8) @ Z(4)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(8... | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.75, "smallest_bitstrings": ["1000100000"], "largest_eigenvalue": 12.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.393808986005866) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.393808986005866) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.21762855179405002) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.5789097935492629) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIIZIIIIIZ",
"IIIZIZIIII",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIZIIZIII",
"IZIIIIIIZI",
"IZIIIIIZII",
"IZIIIZIIII",
"IZIZIIIIII",
"IZIIIIZIII",
"IIIIZIIZII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIIZIZIII",
"ZIIIIIIIIZ",
"ZIIIIIIZII"... | [
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.25,
-1,
-0.75,
-0.25,
-1,
-0.75,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-1,
-0.5,
2,
-0.75,
-0.75,
-0.75,
-0.5,
-0.75,
-0.75,
-1,
-0.5,
-1,
-0.5,
-0.25,
-0.25,
-0.25,
-1.25,
0,
0.5,
0.75,
0.5,
-1.25,
1.5
] | 0.465704 | [
-0.393808986005866,
-0.21762855179405002,
-0.420273716133752,
-0.5789097935492629,
0.6353545988654291,
-0.614667344806954,
-0.04122487701570831,
0.11308869142835831,
0.12934103164207297,
0.35391712738102515,
-0.9529131195112988
] | {
"n_parameters": 11,
"n_qubits": 10,
"optimal_eigenvalue": -16.75,
"target_ratio": 0.97,
"target_value": -16.2475
} | 253 |
570afb120ac224dc3123b6884272022a | 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": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [618, 874], "expectation_value": -2.300475943752687, "params": [[1.1455, 0.5677, -0.16540000000000002, 0.7835000000000001, 0.8401000000000001, -0.0058000000000000005, 1.4994, -0.0026000000000000003, 1.5048000000000001, 0.1699], [1.4954, 1.5015, 0.8662000000000001, 1.5009000000000001, 1.5001, 0.8478, 1.502, -... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.125 * (Z(6) @ Z(0)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(0) @ Z(8)) + 0.125 * (Z(6) @ Z(7)) + 0.125 * (Z(6) @ Z(8)) + ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000010101", "0100010101", "0010100101", "0010101100", "0011000110", "0100010110", "0010010101", "0011100100", "0100110100", "00110001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.3835861564523282) q[0];
ry(-0.12865901623097226) q[1];
ry(-0.541033750035841) q[2];
ry(0.19592575110006732) q[3];
ry(0.13925502177702181) q[4];
ry(0.17628327655625287) q[5];
ry(2.2481322520163918) q[6];
ry(-0.01313067584445033) q[7];
ry(1.7935360786981223) q[8];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIZZZIII",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IZIIIIIIIZ",
"IIZZIIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IIZZIIIIIZ",
"IZIZIIIIIZ",
"IZZIIIIIIZ",
"IZZZIIIIII",
"IZZZIIIIIZ",
"IIIIIIZIZI"... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.12... | 0.978616 | [
1.3835861564523282,
-0.12865901623097226,
-0.541033750035841,
0.19592575110006732,
0.13925502177702181,
0.17628327655625287,
2.2481322520163918,
-0.01313067584445033,
1.7935360786981223,
-0.029196006502633695,
1.5676660849581137,
3.074527066512088,
0.6408159439767485,
3.037196536579389,
... | {
"n_parameters": 19,
"n_qubits": 10,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 38 |
a9b922514c992be93699dd7db70ce8b4 | 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": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [100, 82], "expectation_value": -0.11283177575013766, "params": [[-0.0424], [0.051000000000000004]], "bitstrings": ["0011011", "0101101"], "total_optimization_steps": 10, "probabilities": [0.008258632097387072, 0.00825889896053929], "optimization_time": 1.5600612163543701} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(2) + -1.5 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0001111", "0101101", "1000111", "0011011"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.010677333795516955) q[0];
cx q[3], q[0];
h q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(-0.010677333795516955) q[6];
cx q[3], q[6];
cx q[0], q[6];
cx q[3], q[5];
rz(-0.010677333795516955) q[5];
cx q[3], q[5];
cx q[3], q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[6];
rz(x0) q[6];
cx q[3], q[6]... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"ZIIZIII",
"ZIIIIIZ",
"IZIZIII",
"IZIIIZI",
"ZIIIZII",
"IIZZIII",
"ZIZIIII",
"IZZIIII",
"IIZIZII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-1,
0,
-0.5,
-1.5
] | 0.995478 | [
-0.010677333795516955,
1.4977978858678846,
-1.492391539426082,
1.5317889933658528,
-1.6343254047955877,
1.6306711287819402
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 25 |
aacaa96485aecd447212f3a2ddad723b | 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": 6}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 5, "source": 0, "target": 8}, {"capacity": 2, "s... | {"states": [129, 161], "expectation_value": -3.661792492235967, "params": [[-0.0502, -0.060000000000000005, -0.0748], [0.061700000000000005, 0.0603, 0.0684]], "bitstrings": ["101111110", "101011110"], "total_optimization_steps": 10, "probabilities": [0.006899538313254035, 0.007035015823757349], "optimization_time": 4.4... | -0.25 * (Z(0) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(0)) + 2.0 * (Z(8) @ Z(0)) + -0.5 * (Z(1) @ Z(8)) + -1.0 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(7)) + -0.75 * (Z(4) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + -1.25 * (Z(5) @ Z(6)) + 3.5 * Z(6) + -0.25 * Z(0) + -2.25 * Z(7) + 1.5 * Z(8) + 0.5 * Z(1) + -2.5 * Z(2) + -0.7... | 1 | 9 | 3 | {"smallest_eigenvalues": [-15.0, -15.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.0, "smallest_bitstrings": ["101111110", "101011110"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(0.4913160654204863) q[0];
cx q[6], q[0];
h q[7];
cx q[6], q[7];
rz(0.028512783119828907) q[7];
cx q[6], q[7];
cx q[0], q[7];
cx q[6], q[2];
rz(0.08515804722401596) q[2];
cx q[6], q[2];
cx q[6], 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": []} | [
"IIZIIIIIZ",
"IZZIIIIII",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIZIIIZII",
"IZIIIIZII",
"IIIIZIZII",
"IIIIIZZII",
"IIZZIIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII"
] | [
-0.25,
-1.5,
-1.5,
2,
-0.5,
-1,
-0.75,
-0.75,
-1.5,
-1.25,
3.5,
-0.25,
-2.25,
1.5,
0.5,
-2.5,
-0.75,
1.5,
-1.25
] | 0.971071 | [
0.4913160654204863,
0.028512783119828907,
-0.10664507011831546,
0.20651815175090793,
0.08515804722401596,
0.2830349843323535,
0.25990397793380765,
0.7521858922283763,
0.762225500893824,
-0.7412541471942645,
-0.628866500207978,
0.8576843208197956,
1.564883096515674,
0.5534726737838552,
0.... | {
"n_parameters": 39,
"n_qubits": 9,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 113 |
-3251107044025627850 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 7], [0, 3], [4, 5], [0, 5], [1, 6], [1, 3], [4, 7], [2, 6], [0, 4], [0, 1], [5, 7], [3, 5], [5, 6], [1, 2], [0, 2], [2, 5]]} | {"states": [58, 197], "expectation_value": -0.13876414234129972, "params": [[-0.06430000000000001], [0.0693]], "bitstrings": ["11000101", "00111010"], "total_optimization_steps": 10, "probabilities": [0.00448075624811505, 0.00448075624811505], "optimization_time": 2.1411452293395996} | 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["00111010", "01101100", "11000101", "10010011"], "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];
h q[7];
cx q[7], q[2];
rz(-0.47223589058132376) q[2];
cx q[7], q[2];
cx q[2], q[0];
rz(-0.47223589058132376) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.47223589058132376) q[3];
cx q[0], q[3];
cx q[7], q[4];
rz(-0.47... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[2];
rz(x0) q[2];
cx q[7], q[2];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[7]... | null | {"circuits": [], "gradients": []} | [
"ZIIIIZII",
"IIIIIZIZ",
"IIIIZIIZ",
"ZIIZIIII",
"IIIZIIIZ",
"ZIZIIIII",
"IIZIIZII",
"IIZIIIIZ",
"IIZIZIII",
"IIZZIIII",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZIZI",
"IZIIIZII",
"IZZIIIII",
"IZIIIIZI",
"ZIIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IIIIIIZ... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.457912 | [
-0.47223589058132376,
-5.7024876806142005e-9,
0.6321151401353914
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 101 |
8825faac04a1dea74e1f50fbc9cc77c3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 14, "source": 1, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {"... | {"states": [109, 107], "expectation_value": -13.326091632483404, "params": [[0.0459, 0.0178], [-0.06810000000000001, -0.0529]], "bitstrings": ["10010010", "10010100"], "total_optimization_steps": 10, "probabilities": [0.012119009856297384, 0.012801252615153434], "optimization_time": 2.8946948051452637} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 2.5 * Z(0) + 16.5 * Z(2) + 4.5 * Z(3) + 15... | 1 | 8 | 2 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["10010100"], "largest_eigenvalue": 125.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.15291605558017266) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.15291605558017266) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.15291605558017266) q[2];
cx q[0], q[2];
rz(-1.0431096114034215) q[0];
rx(-0.20100793962471603) q[0];
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[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11,
2.5,
16.5,
4.5,
15,
8,
9.5,
10
] | 0.970819 | [
-0.15291605558017266,
1.5305142180454085,
-1.0431096114034206,
1.9279818478897792,
-0.9131555900472494,
1.2565631961675092,
0.036028566457382144,
1.105705289047865,
0.8217863488603611,
-0.20100793962471591,
0.21791004023137842,
0.12036532556028569,
-0.8985480040462571,
-0.3024677114818559,... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 44 |
c4c2061e54c0f796fac4a7b56b18aa02 | 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": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [193, 209], "expectation_value": -6.259711058753226, "params": [[[0.7010000000000001, -0.0038], [0.7044, -0.0009000000000000001], [0.003, 0.3905], [0.47340000000000004, -0.0017000000000000001], [0.0004, 0.3428], [0.0025, -0.371], [0.0009000000000000001, 0.37170000000000003], [0.47250000000000003, 0.001700000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * Z(2) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["00101110"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.2431048911215754) q[0];
ry(3.034772416130965) q[0];
rz(-2.0533645770370934) q[0];
rz(2.784124956641886) q[1];
ry(2.975382333667931) q[1];
rz(-0.30369351805936695) q[1];
rz(1.2404715407581115) q[2];
ry(0.06700559625882878) q[2];
rz(-0.36497264537765695) q[2];
rz(2.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IZIIIZII",
"IZIIIIIZ",
"IIIZIIZI",
"IIZIIZII",
"IIZIIIZI",
"IIIIZZII",
"IZIIZIII",
"IIIZZIII",
"IIZIZIII",
"ZIIIIZII",
"ZZIIIIII",
"ZIIZIIII",
"ZIZIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IZIIIIII",
"IIIZIIII",
"IIIIIIZI",
"IIZIIIII",
"IIIIZIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
-1,
-0.5,
-1.5,
-1.5,
-1.5
] | 0.980269 | [
0.8002348573040806,
-0.013292035218399334,
0.7477010491444701,
0.06625003894592427,
-0.09931961182204946,
0.1085680094721006,
0.6279492894736901,
0.08047338819558324,
-0.04772388808103084,
0.25746405864875455,
0.0009100493714958025,
-0.3542883055740505,
-0.0022001628315275875,
0.2743385489... | {
"n_parameters": 51,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 7 |
e877d3b2f9804d2377a79bff7b887b67 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 8, "source": 0, "t... | {"states": [118, 110], "expectation_value": -25.38598502183975, "params": [[0.0286, 0.001, 0.0047], [-0.07830000000000001, -0.0692, -0.0734]], "bitstrings": ["10001001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.015031391475650918, 0.018155540126990336], "optimization_time": 5.034329414367676} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 17.5 * Z(1) + 8.5 * Z(0) + 12.0 * Z(2) + 7.0 * Z(3) + 1.... | 1 | 8 | 3 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 137.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.017981262724299375) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.017981262724299375) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.017981262724299375) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.017981262724299375) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZZIII",
"IIZIIIIZ",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
17.5,
8.5,
12,
7,
1,
13,
16.5,
7.5
] | 0.970765 | [
0.017981262724299375,
1.212573707341711,
-1.1550771248156908,
1.124609087092233,
-1.1078500346923374,
1.1151316255952932,
0.7676345067154235,
1.0291231689972888,
-1.2517005821613711,
-0.5279065003893286,
0.022474379738371658,
0.4465780795699846,
-0.8665322393723809,
0.03468356842517979,
... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -64,
"target_ratio": 0.97,
"target_value": -62.08
} | 63 |
f8316b35599f405111166e958a2a7784 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 4, "source": 0, "target": 4}, {"capacity": 7, "source": 0, "target": 5}, {"capacity": 7, "source": ... | {"states": [0, 256], "expectation_value": -26.739879766408336, "params": [0.0026000000000000003, -0.19410000000000002, -0.0006000000000000001, 0.0023, 0.003, -0.1792, 0.0013000000000000002, 0.0081, -0.0019, 0.0936, 0.6101, 0.0005, 0.8119000000000001, 0.0466, 0.8071, 0.0081, 0.0026000000000000003, -0.529, 0.002400000000... | -1.0 * (Z(0) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + -1.75 * (Z(7) @ Z(0)) + -1.75 * (Z(4) @ Z(1)) + -0.25 * (Z(5) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -1.75 * (Z(5) @ Z(4)) + -0.75 * (Z(10) @ Z(6)) + -0.25 * (Z(10) @ Z(7)) + -1.25 * (Z(10) @ Z(1)) + -1.5 * (Z(10) @ Z(5)) + -0.5 * (Z(9) @ Z(7)) + -1.0 * (Z(9) @ Z(5)) + -0.25 * (Z... | 5 | 12 | 1 | {"smallest_eigenvalues": [-31.5, -31.5, -31.5, -31.5, -31.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -29.5, "smallest_bitstrings": ["111011111111", "110011111111", "110001111111", "110011110111", "110001110111"], "largest_eigenvalue": 45.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.03532451194649602) q[0];
rz(-0.25699683180084065) q[0];
rx(0.04843636839851819) q[1];
rz(-0.3444975624972604) q[1];
rx(-0.07310370371622965) q[2];
rz(0.14217777991321867) q[2];
rx(1.2452607032929135) q[3];
rz(-0.13385225499190012) q[3];
rx(0.035324511946496016) 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": 11} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIIZ",
"IIIIZZIIIIII",
"IIIIZIIIIIIZ",
"IIIIIIIZIIZI",
"IIIIZIZIIIII",
"IIIIIIZIIIZI",
"IIIIIIZZIIII",
"IZIIIZIIIIII",
"IZIIZIIIIIII",
"IZIIIIIIIIZI",
"IZIIIIZIIIII",
"IIZIZIIIIIII",
"IIZIIIZIIIII",
"IZZIIIIIIIII",
"IIIIIIIIZIIZ",
"IIIIZIIIZIII",
"ZIIIIZIIIIII",
"ZIIIZIIII... | [
-1,
-1.5,
-1.75,
-1.75,
-0.25,
-1.5,
-1.75,
-0.75,
-0.25,
-1.25,
-1.5,
-0.5,
-1,
-0.25,
3,
-0.5,
-1.25,
-0.75,
-1.25,
-1,
-1,
-1.75,
-0.5,
-0.75,
-0.75,
0,
-0.25,
-4.75,
-4.5,
3,
-5,
3.5,
1.25,
2.5,
1.25,
3.75,
-0.75
] | 0.977351 | [
0.035324511946496016,
-0.17582582711049086,
0.0484363683985182,
-0.32333379488736264,
-0.07310370371622965,
0.16181071240250347,
1.2452607032929137,
-0.08132102901024174,
-0.41411013810152825,
-0.7101900216509189,
-0.07413396218563212,
-0.7488668580064224,
-0.5647141020710754,
-0.280460635... | {
"n_parameters": 47,
"n_qubits": 12,
"optimal_eigenvalue": -31.5,
"target_ratio": 0.97,
"target_value": -30.555
} | 9 |
69144809aea48cb46eae9c3950f24a15 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [0, 2], "expectation_value": -0.1305387837387441, "params": [[0.057, 0.0531, -0.0297], [-0.054400000000000004, -0.0505, -0.0216]], "bitstrings": ["111", "101"], "total_optimization_steps": 10, "probabilities": [0.1278920809857427, 0.14304145178260677], "optimization_time": 1.3090879917144775} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + -1.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2) | 1 | 3 | 3 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["101"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.12397642308111168) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.12397642308111168) q[0];
cx q[1], q[0];
rz(-1.0412824378997723) q[0];
rx(-0.6835570607299903) q[0];
rz(0.6551677416149957) q[1];
rx(-0.6835570607299903) q[1];
rz(-1.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"ZZI",
"IZZ",
"IIZ",
"IZI",
"ZII"
] | [
0.5,
0.5,
-1,
-0.5,
-1
] | 0.983631 | [
0.12397642308111168,
-1.0412824378997723,
0.6551677416149958,
-0.6835570607299902,
0.023146836072959226,
-0.5048269617904716,
0.6814886991250588,
-0.7325852103426811,
0.006386053532258323,
-0.47655542685563346,
0.11597712833781966,
-0.2813397718212035
] | {
"n_parameters": 12,
"n_qubits": 3,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
849e8b7d0866f815fb0c906751b536ff | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5},... | {"states": [31, 1823], "expectation_value": -2.377961755840754, "params": [[0.0767], [-0.0811]], "bitstrings": ["11111100000", "00011100000"], "total_optimization_steps": 10, "probabilities": [0.0011541304340140861, 0.0012330317753134863], "optimization_time": 3.3150432109832764} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(7)) + -2.5 * (Z(10) @ Z(7)) + -2.0 * (Z(10) @ Z(6)) + -2.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(10)) + 1.0 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(6)) + ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-27.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["00011100000"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.4973038590881866) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.44809170830710693) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.448091708307107) q[1];
rx(-1.29375475220986) q[1];
rz(-1.4973038590881866) q[2];
cx q[0], q[2];
rz(-0.4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[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];
cx q[1], q[0];
cx q[1... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIIIZIZIII",
"IIIZZIIIIII",
"ZIIZIIIIIII",
"ZIIIZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"ZIZIIIIIIII",
"IZIZIIIIIII",
"IZIIZIIIIII",
"ZZIIIIIIIII",
"IZZIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZ... | [
-1.5,
0.5,
-1.5,
-2,
-2,
-2,
-2,
-2.5,
-2,
-2.5,
0.5,
1,
1,
0.5,
-2.5,
-2,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.578656 | [
-1.4973038590881866,
-0.44809170830710693,
-0.15954409489278643,
-0.8431208617123968,
-0.6333875922629212,
-1.29375475220986
] | {
"n_parameters": 6,
"n_qubits": 11,
"optimal_eigenvalue": -27.5,
"target_ratio": 0.97,
"target_value": -26.675
} | 184 |
e082b8aa0e4d625595bb9c6f308e2454 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [350, 342], "expectation_value": -66.64511822238163, "params": [0.0029000000000000002, 0.7883, 1.2968, 0.1975, 0.6768000000000001, 0.43520000000000003, 1.2948000000000002, 0.006900000000000001, -0.0026000000000000003, 0.8127000000000001, 1.2962, 0.3015, 0.7953, 0.43420000000000003, 1.2937, 0.0501000000000000... | 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(1) @ Z(3)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(6) @ Z(3)) + 6.0 * (Z(5) @ Z(2)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(9) @ Z(7)) + 6.0 * (Z(8) @ Z(3)) + 6.0 * (Z(8) @ Z(6)) + 6.0 * (Z(8) @ Z(7)) + 6.0 * (Z(8) @ Z(9)) + 20.0 * Z(3) + 6.5 * Z(2) + 14.5 * Z(1) + -3.0 * Z(0) + 8... | 18 | 10 | 2 | {"smallest_eigenvalues": [-96.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -88.0, "smallest_bitstrings": ["1010101001"], "largest_eigenvalue": 165.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.0219015553602859) q[0];
rz(1.0423845037412782) q[0];
rx(1.3094397640111488) q[1];
rz(0.12099214626398828) q[1];
rx(-0.006337543920944412) q[2];
rz(0.5085796689536802) q[2];
rx(1.7267442589235242) q[3];
rz(0.026481871625783943) q[3];
rx(-0.04944390851286479) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIZIIZIII",
"IIIIZIIZII",
"IIIZZIIIII",
"ZIZIIIIIII",
"IZIIIIZIII",
"IZIZIIIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIZIIIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"ZIIIIIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
20,
6.5,
14.5,
-3,
8,
5.5,
9,
5,
18,
-9.5
] | 0.972682 | [
0.021901555360285905,
0.8116528684601358,
1.3094397640111488,
0.12099214626398828,
-0.006337543920944412,
0.5085796689536802,
1.7267442589235242,
0.026481871625783943,
-0.04944390851286479,
0.4223675109402649,
1.4296351527992717,
0.3246641839787643,
0.04078435322417992,
0.7266065846991736,... | {
"n_parameters": 53,
"n_qubits": 10,
"optimal_eigenvalue": -96,
"target_ratio": 0.97,
"target_value": -93.12
} | 19 |
7e799239f8573f120a2c5e15cda2e88f | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}]} | {"states": [12, 8], "expectation_value": -0.4937463718181719, "params": [[0.061200000000000004, 0.0685, 0.0761, 0.0785], [-0.0339, -0.054900000000000004, -0.069, -0.0742]], "bitstrings": ["0011", "0111"], "total_optimization_steps": 10, "probabilities": [0.08966824704676192, 0.09948734704272262], "optimization_time": 3... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + -0.75 * Z(1) + -0.75 * Z(2) + -0.25 * Z(0) + -1.0 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["0111"], "largest_eigenvalue": 4.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.013661432647873829) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.47799463725369296) q[1];
h q[2];
ry(1.609883237122917) q[2];
h q[3];
ry(1.609883237122917) q[3];
h q[4];
cx q[4], q[1];
ry(0.47799463725369296) q[1];
cx q[4], q[1];
ry(-0.6440649203767641) q[1];
ry(0.9857223264... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IZZI",
"IIZZ",
"IZIZ",
"IZZZ",
"ZIIZ",
"IIZI",
"IZII",
"IIIZ",
"ZIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.75,
-0.75,
-0.25,
-1
] | 0.994711 | [
-1.5961244559276881,
1.609883237122917,
-0.9559892745073859,
0.7778346010594781,
-0.4321667361998622,
0.4157754507244771,
-0.42379636835380385,
0.245207488748664,
-0.0379388834944252,
0.03472662903914467,
0.0730459640739915,
0.07797912356133081,
-0.0856693429277921
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 1 |
f143dac0e88a27841fea76d818fec3d0 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "targ... | {"states": [16383, 16351], "expectation_value": -0.5440847507920059, "params": [[-0.0524], [0.0601]], "bitstrings": ["00000000000000", "00000000100000"], "total_optimization_steps": 10, "probabilities": [9.008786773800773e-05, 9.122657300811116e-05], "optimization_time": 56.42236137390137} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + -1.0 * (Z(9) @ Z(10)) + -1.5 * (Z(11) @ Z(12)) + -1.5 * (Z(13) @ Z(12)) + -1.5 * (Z(13) @ Z(11)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3... | 14 | 14 | 1 | {"smallest_eigenvalues": [-20.499999999999957], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.499999999999808, "smallest_bitstrings": ["00000000100000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(1.1133124074262024) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(1.1133124074262024) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.08309374786815941) q[1];
cx q[0], q[1];
rz(0.08309374786815926) q[0];
rx(1.0130841780785524) q[0];
rz(0.083... | 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[14] c;
qubit[14] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZIZ",
"IIIIIIIIIIIZZI",
"IIIIIIIIIIIIZZ",
"IIIIIIIIIZZIII",
"IIIIIIIIZZIIII",
"IIIIIIIIZIZIII",
"IIIIIIZZIIIIII",
"IIIZZIIIIIIIII",
"IZZIIIIIIIIIII",
"ZZIIIIIIIIIIII",
"ZIZIIIIIIIIIII",
"IIIIIIIIIIIZII",
"IIIIIIIIIIIIIZ",
"IIIIIIIIIIIIZI",
"IIIIIIIIIZIIII",
"IIIIIIIIIIZIII"... | [
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
-1,
-1,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.591431 | [
1.1133124074262024,
0.08309374786815941,
1.6493177555847793,
1.5707961437880515,
1.0130841780785524
] | {
"n_parameters": 5,
"n_qubits": 14,
"optimal_eigenvalue": -20.499999999999957,
"target_ratio": 0.97,
"target_value": -19.88499999999996
} | 158 |
cde6b48ed870286595c1455af7aff8bd | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}, {"source": 2, "target": 3}]} | {"states": [2909, 2910], "expectation_value": -6.249735496837667, "params": null, "bitstrings": ["010010100010", "010010100001"], "total_optimization_steps": 100, "probabilities": [0.05709175034322553, 0.8163099224805773], "optimization_time": 261.5499801635742} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 3 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["100100010100", "100100010001", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5706) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIZIIIIII",
"IZIIZIIIIIII",
"IZZIIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.75,
0.75,
0.75,
1.25,
1.25,
1.25,
0.75,
0.75,
0.75,
0.75,
0.75,
0.75
] | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
9d0fda9991561362ccfc12e66c38b9f5 | 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": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [77, 93], "expectation_value": -0.8781737534271982, "params": [0.0022, 0.0041, 1.6013000000000002, 0.0013000000000000002, 0.9899, 0.0073, 1.5978, 0.0077, 1.5995000000000001, 0.0008, 1.5996000000000001, 0.0067, 1.0158, 0.004200000000000001, 1.6065, 0.0086, 0.0073, 0.0027, 0.0013000000000000002, 0.000600000000... | 0.5 * (Z(1) @ Z(2)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(3) @ Z(0)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(3) @ Z(1)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(5)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(4) @ Z(5)) + -0.0625 * (Z(3) @ Z(0) @ Z(1)) + -0.0625 * (Z(0)... | 18 | 8 | 1 | {"smallest_eigenvalues": [-3.5625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5625, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 5.4375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.05915602651802649) q[0];
rz(-0.15469163530750052) q[0];
rx(3.4191362901712914) q[1];
rz(0.45246714787639103) q[1];
rx(0.17983961904902268) q[2];
rz(-0.05096309531274679) q[2];
rx(3.0050058723652) q[3];
rz(1.0763901855253808) q[3];
rx(3.085973281590634) 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": []} | [
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIZIIIZI",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIIIZIZZ",
"IIIZIIZZ",
"IIZIIIZZ",
"IIIZZIIZ",
"IIZIZIIZ",
"IIZZIIIZ",
"IIIZZIZI",
"IIZIZIZI",
"IIZZIIZI",
"IIZZZIII",
"IIIZZIZZ",
"IIZIZIZ... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.5,
... | 0.971457 | [
-0.05915602651802648,
-0.1292100876511263,
3.4191362901712914,
0.45246714787639103,
0.17983961904902268,
-0.05096309531274679,
3.0050058723652,
1.0763901855253808,
3.085973281590634,
0.20126058805128294,
3.3609533359992207,
0.3973179116121901,
0.08371651178469919,
-0.042244168201899246,
... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 21 |
f3e32e1adc0b0d4686bd84de2a96f4ab | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [83, 85], "expectation_value": -3.10107276640553, "params": [-0.013800000000000002, 0.2039, 0.40650000000000003, 0.0869, 0.3955, 0.1356, 0.3931, 0.1952, 0.061700000000000005, 0.1996, 0.39780000000000004, 0.22240000000000001, 0.39540000000000003, 0.21300000000000002, 0.40800000000000003, -0.006, -0.0092, 0.20... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(7) + -1.0 * Z(4) + -0.... | 3 | 8 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["10101100", "10011010", "10011100", "10101010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.005483143169348005) q[0];
rz(0.3672222991576266) q[0];
rx(0.7980097907265472) q[1];
rz(-0.008056232119741935) q[1];
rx(0.28057298763471883) q[2];
rz(0.03631649798697367) q[2];
rx(1.0154973248921293) q[3];
rz(0.26151148521124945) q[3];
rx(0.218524317529495) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIZIIIIZ",
"ZIIIIIIZ",
"IIIZIIZI",
"IIZZIIII",
"IZZIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IIIZIIII",
"IZIIIIII"
] | [
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,
0,
-1,
-0.5
] | 0.971386 | [
-0.0054831431693480055,
0.3437238645784112,
0.7980097907265473,
0.2655140658346523,
0.2805729876347188,
-0.19684841611276396,
1.015497324892129,
0.40869228974824,
0.21852431752949494,
0.28462691713211963,
0.676741722934479,
0.4361815176506318,
0.08391647274505153,
0.24914865995991514,
1.... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 25 |
-4882474094302731455 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4, 5, 6], [0, 1, 2, 3, 5], [0, 1, 3, 4, 6, 7], [2, 3, 4, 5], [0, 4, 5, 6, 7], [2, 5, 6, 7], [0, 2, 3, 4], [1, 2, 3, 4], [1, 2, 5, 6]]} | {"states": [235, 237], "expectation_value": -1.2905492865638446, "params": [[-0.36960000000000004], [0.3738]], "bitstrings": ["00010100", "00010010"], "total_optimization_steps": 40, "probabilities": [0.01093727792356641, 0.01157874531521927], "optimization_time": 4.05966591835022} | 0.2 * (Z(1) @ Z(4)) + 0.21666666666666667 * (Z(5) @ Z(4)) + 0.21666666666666667 * (Z(5) @ Z(1)) + 0.16666666666666669 * (Z(6) @ Z(4)) + 0.2 * (Z(6) @ Z(1)) + 0.3 * (Z(6) @ Z(5)) + 0.16666666666666669 * (Z(0) @ Z(4)) + 0.08333333333333334 * (Z(0) @ Z(1)) + 0.1 * (Z(0) @ Z(5)) + 0.08333333333333334 * (Z(0) @ Z(6)) + 0.25... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.0999999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9833333333333332, "smallest_bitstrings": ["00010010"], "largest_eigenvalue": 8.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(-3.9909205550782854e-07) q[1];
cx q[4], q[1];
h q[5];
cx q[4], q[5];
rz(-1.5865622971121637e-07) q[5];
cx q[4], q[5];
cx q[1], q[5];
rz(-1.5865622971121637e-07) q[5];
cx q[1], q[5];
h q[6];
cx q[4], q[6];
rz(3.89... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZI",
"IIZZIIII",
"IIZIIIZI",
"IZIZIIII",
"IZIIIIZI",
"IZZIIIII",
"IIIZIIIZ",
"IIIIIIZZ",
"IIZIIIIZ",
"IZIIIIIZ",
"IIIZIZII",
"IIIIIZZI",
"IIZIIZII",
"IZIIIZII",
"IIIIIZIZ",
"IIIZZIII",
"IIIIZIZI",
"IIZIZIII",
"IZIIZIII",
"IIIIZIIZ",
"IIIIZZII",
"ZIIZIIII",
"ZIIIIIZ... | [
0.2,
0.21666666666666667,
0.21666666666666667,
0.16666666666666669,
0.2,
0.3,
0.16666666666666669,
0.08333333333333334,
0.1,
0.08333333333333334,
0.25,
0.21666666666666667,
0.3,
0.16666666666666666,
0.13333333333333333,
0.2833333333333333,
0.16666666666666669,
0.13333333333333333,
... | 0.944444 | [
-3.9909205550782854e-7,
-1.5865622971121637e-7,
3.893485530304919e-7,
-7.863051596943654e-7,
3.50480760766025e-7,
-0.000002663731021717187,
-4.366228169187919e-7,
-4.2054861828343306e-7,
-3.1415958821590184,
5.298928450714931e-7,
1.5707981348894455,
-1.5707957025673602,
1.5707941503758698,
... | {
"n_parameters": 17,
"n_qubits": 8,
"optimal_eigenvalue": -2.0999999999999996,
"target_ratio": 0.97,
"target_value": -2.0369999999999995
} | 500 |
02575a12c565dc28617818fe7f0b4a99 | 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": 7, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 11, "source": 1, "target": 3}, {... | {"states": [123, 118], "expectation_value": -37.43620304047168, "params": null, "bitstrings": ["10000100", "10001001"], "total_optimization_steps": 100, "probabilities": [0.14850359474344763, 0.18487269087280014], "optimization_time": 152.24977254867554} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 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(5)) + 9.5 * Z(1) + 7.5 * Z(0) + 13.5 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -52.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 139.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.23507353246165305) q[0];
ry(-2.4415664310148384) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-2.4499701101813587) q[2];
h q[3];
ry(0.9227705559152606) q[3];
h q[4];
ry(-2.458330084571739) q[5];
rz(-pi) q[5];
h q[6];
ry(39.04965588622594) q[6];
cx q[6], q[5];
ry(-... | null | {"matching": "near_perfect", "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(38.6317) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
9.5,
7.5,
13.5,
13.5,
9,
14,
16.5,
4
] | 0.971754 | [
39.04965588622594,
-5.700698017949098,
2.166064408115155,
0.9227705559152606,
0.39121486102403674,
0.6100929370927086,
0.9591104863918101,
0.19270892417635244,
-0.4759729115203181,
0.08905781936669226,
-0.26208726603383503,
-0.3379662386073564,
0.04072076886277337,
-0.19606358742522542,
... | {
"n_parameters": 63,
"n_qubits": 8,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 51 |
9489ce4d26b81338a996936b33ca51e5 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": ... | {"states": [1023, 255], "expectation_value": -34.57875016860988, "params": [[[-0.0024000000000000002, 0.006], [-1.6107, 0.0053], [0.0023, 0.0067], [0.0024000000000000002, 0.0019], [0.0024000000000000002, 0.0024000000000000002], [0.0024000000000000002, 0.005], [0.0023, 0.008], [0.0023, 0.0047], [0.0026000000000000003, 0... | -1.5 * (Z(0) @ Z(1)) + -3.5 * (Z(2) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(2)) + 1.5 * (Z(8) @ Z(4)) + -3.5 * (Z(8) @ Z(2)) + 1.0 * (Z(8) @ Z(5)) + -3.5 * (Z(9) @ Z(4)) + -2.5 * (Z(9) @ Z(2)) + -2.5 * (Z(9) @ Z(5)) + -3.5 * (Z(9) @ Z(8)) + -3.0 * (Z(3) @ Z(4)) + 1.0 * (Z(3) @ Z(2)) + -3.5 * (Z(3) @ Z(8)) + 1.... | 2 | 10 | 1 | {"smallest_eigenvalues": [-36.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.5, "smallest_bitstrings": ["1100000000"], "largest_eigenvalue": 36.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.03699001578432089) q[0];
rz(-0.0019772309980120376) q[0];
rx(-2.2185588509288414) q[1];
rz(0.1854982736483756) q[1];
rx(-0.06151402469837384) q[2];
rz(-0.04525476289443207) q[2];
rx(-0.0678853837598842) q[3];
rz(-0.1091061901622673) q[3];
rx(-0.0678853837598842) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIZII",
"IIIIZZIIII",
"IIIIZIIZII",
"IZIIIZIIII",
"IZIIIIIZII",
"IZIIZIIIII",
"ZIIIIZIIII",
"ZIIIIIIZII",
"ZIIIZIIIII",
"ZZIIIIIIII",
"IIIIIZZIII",
"IIIIIIZZII",
"IZIIIIZIII",
"ZIIIIIZIII",
"IIIZIZIIII",
"IIIZIIIZII",
"IZIZIIIIII",
"ZIIZIIIIII",
"IIIZIIZIII"... | [
-1.5,
-3.5,
1,
-2.5,
1.5,
-3.5,
1,
-3.5,
-2.5,
-2.5,
-3.5,
-3,
1,
-3.5,
1,
-3,
0.5,
1,
0.5,
-2.5,
0.5,
0.5,
-3,
0.5,
1,
-2.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.972446 | [
-0.03699001578432089,
-0.0019772309980120376,
-2.2185588509288414,
0.1854982736483756,
-0.06151402469837384,
-0.04525476289443207,
-0.0678853837598842,
-0.1091061901622673,
0.09010778039649131,
-0.13460713309887,
-0.11131066124565554,
-0.0017782861329004584,
0.1546158130596793,
3.146662755... | {
"n_parameters": 15,
"n_qubits": 10,
"optimal_eigenvalue": -36.5,
"target_ratio": 0.97,
"target_value": -35.405
} | 5 |
26b0c21f43e0914291253fccea754cb4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 6, "source": 2, "target": 4}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [1, 21], "expectation_value": -9.449332538501677, "params": null, "bitstrings": ["111110", "101010"], "total_optimization_steps": 37, "probabilities": [0.13103223088624938, 0.7089469748292432], "optimization_time": 22.943730354309082} | -1.5 * (Z(0) @ Z(4)) + -2.0 * (Z(1) @ Z(3)) + -1.5 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + -2.75 * Z(4) + -0.25 * Z(0) + 0.5 * Z(3) + 0.5 * Z(1) + 0.75 * Z(2) + 1.25 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-10.5, -10.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.5, "smallest_bitstrings": ["100010", "101010"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.10907579258365115) q[0];
h q[1];
ry(-0.2103859763398643) q[2];
rz(-pi) q[2];
h q[3];
ry(0.604260278838176) q[3];
cx q[1], q[3];
ry(-0.604260278838176) q[3];
cx q[1], q[3];
ry(1.6522313222015446) q[1];
ry(0.6066552576964641) q[3];
cx q[3], q[1];
ry(0.104131... | null | {"source": 0, "sink": 5} | {"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... | [
"IZIIIZ",
"IIZIZI",
"IZIZII",
"IIZZII",
"ZZIIII",
"ZIIIIZ",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
-1.5,
-2,
-1.5,
-0.75,
-0.25,
1.75,
-0.25,
-2.75,
-0.25,
0.5,
0.5,
0.75,
1.25
] | 0.970516 | [
-0.2181515851673023,
1.265828792876706,
-0.8838791587849417,
1.208520557676352,
1.756362495781696,
0.6066552576964641,
-0.20826234716030267,
0.12761223583215306,
-0.16017964400308954,
-1.111453342572607,
0.024964515180282365,
0.26199644891527213,
-0.4979140157648508,
-0.31833873611701424,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 25 |
1b25290ab1e43a1b592d31250319712f | 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": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": ... | {"states": [828, 1020], "expectation_value": -0.9466129493607118, "params": [[0.06770000000000001], [-0.061200000000000004]], "bitstrings": ["0011000011", "0000000011"], "total_optimization_steps": 10, "probabilities": [0.0015793552942395149, 0.0016302069959045042], "optimization_time": 4.2500481605529785} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(7) + -1.0 * Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["0000000011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.173499974333863) q[0];
cx q[1], q[0];
rz(1.5707963243403888) q[0];
rx(-1.570796339673228) q[0];
rz(1.5707963243403888) q[1];
rx(-1.570796339673228) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-1.173499974333863) q[2];
cx q[3], 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;
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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x0) q[2];
cx q[3]... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"IIZIZIIIII",
"IIZIIZIIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII"
] | [
-1,
-1,
-2,
-2,
-2,
-2,
-2,
-2,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.832256 | [
-1.173499974333863,
-1.5707963084054193,
6.958406852995431e-8,
1.5707963243403886,
-1.570796339673228
] | {
"n_parameters": 5,
"n_qubits": 10,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 162 |
19902a494954f08596a318616ba69117 | 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": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [268, 284], "expectation_value": -3.747506722591109, "params": [[[0.9099, -0.0026000000000000003], [0.0039000000000000003, -0.47450000000000003], [0.192, 0.366], [0.2043, 0.3689], [0.8458, 0.0022], [0.9122, -0.0034000000000000002], [0.8504, -0.0017000000000000001], [0.2068, -0.3604], [0.7198, 0.0441]], [[0.9... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -2.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(7) + -1.0 * Z(3) + ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.5, "smallest_bitstrings": ["111100001", "010011110", "011010011", "011010110", "011100110", "011100011", "111100100", "010011011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(1.8407025746443733) q[0];
ry(2.9744200510220185) q[0];
rz(-0.7934303231301056) q[0];
rz(1.4087122632271214) q[1];
ry(0.10930148426777468) q[1];
rz(-1.2891998771951512) q[1];
rz(1.6164222001563058) q[2];
ry(0.25362784348854917) q[2];
rz(-0.8668848089380132) q[2];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IZIIIIIIZ",
"IIIIIZIZI",
"IZIIIZIII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIZIIIIZI",
"ZIIIIIIZI",
"ZIZIIIIII",
"IIIIZIZII",
"IIIZIIZII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-0.5,
-0.5,
-1,
-1,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.970868 | [
1.4719072370783635,
0.044468581459669726,
0.03254259249713454,
-0.22978719940048647,
0.21744816982272305,
0.3084642938634765,
0.24250161461160505,
0.20901248420075952,
1.586869267687863,
0.16978072978586145,
1.570411241290663,
0.04701348918061016,
1.5938023931530603,
0.27432227095185696,
... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 23 |
b93e7e87e2621c92c7ba04b041c49bf3 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [6, 41], "expectation_value": -1.2341427888219942, "params": [[-0.0614, -0.0682, -0.06430000000000001, -0.0761], [0.0713, 0.0755, 0.0707, 0.0745]], "bitstrings": ["111001", "010110"], "total_optimization_steps": 10, "probabilities": [0.032205987023588976, 0.037893918213484604], "optimization_time": 5.2066256... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + -1.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["010110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.18095492688154305) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.18095492688154305) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.18095492688154305) q[2];
cx q[3], q[2];
rz(0.8074839178710835) q[3];
rx(1.411180127000671) q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IIZIIZ",
"IZIIIZ",
"IIZIZI",
"IIZZII",
"IZIZII",
"IIIZZI",
"ZZIIII",
"ZIIIZI",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-1,
-0.5
] | 0.923411 | [
-0.18095492688154305,
0.8074839178710835,
-0.9410650216682992,
1.4111801270006712,
-0.7361957294362335,
0.4420026896995149,
0.28479132416285424,
1.0392592742276436,
-0.5347775873994031,
1.322723886363652,
-1.2976651434758002,
0.9340766908427282,
-0.730793540399182,
0.9791307353720787,
-1... | {
"n_parameters": 16,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 419 |
1c5d1381d8045df60eb241fe502287d3 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": ... | {"states": [647, 135], "expectation_value": -22.64554494364902, "params": null, "bitstrings": ["0101111000", "1101111000"], "total_optimization_steps": 100, "probabilities": [0.11421765662961882, 0.37852771296379023], "optimization_time": 181.92488861083984} | -3.0 * (Z(0) @ Z(1)) + 1.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -3.5 * (Z(5) @ Z(1)) + 1.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + -2.0... | 5 | 10 | 1 | {"smallest_eigenvalues": [-32.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.0, "smallest_bitstrings": ["1101111000"], "largest_eigenvalue": 29.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rz(-pi) q[0];
ry(-0.0469402290191681) q[0];
ry(-0.006734321659309033) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
ry(-0.06717540740365421) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.5827175563940483) q[5];
cx q[5], q[0];
ry(0.04464761442408521) q[0];
cx q[5], q[0];
ry(-0.00116391938367... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5709) 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... | [
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIIZIZIII",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIZIIII",
"IIIZZIIIII",
"IZZIIIIIII",
"IZIIIIIZII",
"IIZIIIIZII",
"ZZIIIIIIII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ"... | [
-3,
1.5,
-3,
-2.5,
0.5,
-3.5,
1.5,
-3,
0.5,
1,
1,
-2.5,
-2.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
-3,
-2.5,
-2.5,
1,
-2.5,
-2.5,
0.5,
0.5,
0.5,
0.5
] | 0.966229 | [
-1.581858588435739,
-1.5827175563940483,
-1.5730889413899798,
-0.08929522884817041,
-1.567012916357841,
-0.0023278387673489167,
-0.0034155684297446313,
0.003948709747273392,
1.4634202878432003,
-0.009746326494580364,
0.00997636903925454,
0.008727371946632615,
1.5676188468578816,
1.21256185... | {
"n_parameters": 79,
"n_qubits": 10,
"optimal_eigenvalue": -32,
"target_ratio": 0.97,
"target_value": -31.04
} | 500 |
b0dd1050887f092ff1c439d2cb12f6fe | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 5, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [33, 1], "expectation_value": -1.4769262077280643, "params": [[-0.0577, -0.0757], [0.0664, 0.0723]], "bitstrings": ["11011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.008121256695448806, 0.009571619356436214], "optimization_time": 3.0440921783447266} | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(1)) + 2.0 * (Z(7) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(5) + -0.25 * Z(6) + 1.5 * ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 12.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.02787926834651001) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.24392621843085915) q[5];
cx q[0], q[5];
h q[6];
cx q[1], q[6];
rz(0.5363659672322102) q[6];
cx q[1], q[6];
cx q[5], q[6];
rz(0.027879268346510... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIZIIIIZ",
"IZIIIIZI",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIIIIZZI",
"IIZIZIII",
"IIIIZZII",
"IIIZIIZI",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII"
] | [
-1,
-0.75,
-1.25,
-1,
-0.5,
2,
-0.25,
-0.5,
-0.5,
-1,
-1.5,
-0.5,
-0.25,
-1.25,
-0.25,
1.5,
-0.25,
1.5,
-0.5
] | 0.843743 | [
0.02787926834651001,
0.24392621843085915,
0.5363659672322102,
0.060809672220954014,
-0.33653079246115875,
0.7872732637562534,
2.18834440632333,
-0.751538289689594,
1.563181975540617,
0.06826669057277454,
0.3961428165268017,
1.040659004519177,
0.05826405621687344,
-0.564036277934697,
1.09... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -12.25,
"target_ratio": 0.97,
"target_value": -11.8825
} | 500 |
73234867a8d73902463f648150631001 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 5, "source": 2, "target": 1... | {"states": [64, 63], "expectation_value": -1.2086921917964388, "params": [[0.0618, 0.0135], [-0.092, -0.0519]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.013147151597786903, 0.013361886964294818], "optimization_time": 13.973612070083618} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(6)) + -1.25 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -2.5 * Z(6) + 1.75 * Z(2) + 2.0 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.09719419956319378) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(0.6989836249551739) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], q[2];
rz(-0.06470448402436971) q[2];
cx q[1], q[2];
rz(0.6633440307529... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"ZIIIIZI",
"ZIIIIIZ",
"IIIIZZI",
"ZIIIZII",
"ZIIZIII",
"IIIZZII",
"IIZIZII",
"ZZIIIII",
"IZIZIII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
-0.25,
-1,
0.5,
-1.25,
-0.25,
-1.25,
-1.5,
-1.25,
-0.5,
-0.75,
-0.75,
-0.5,
-0.25,
-2.5,
1.75,
2,
0.5,
-1
] | 0.898383 | [
-0.09719419956319378,
0.6989836249551739,
0.9270975937150174,
-0.06470448402436971,
0.08956044328374929,
0.663344030752968,
0.01750334737436496,
-4.564173153836214,
2.1872018918678604,
0.9714600095726166,
1.1411583059189332,
-0.16415140025758682,
1.7339458795436893,
0.6659884089974357,
0... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 500 |
1cf62c7ab33fc7566dad05641a882509 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [89, 38], "expectation_value": -0.3712485151541685, "params": [[-0.0746], [0.07540000000000001]], "bitstrings": ["0100110", "1011001"], "total_optimization_steps": 10, "probabilities": [0.00943374808995166, 0.009724634457551198], "optimization_time": 1.645585536956787} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(5) + -1.0 * Z(2) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["0101110", "0100111", "1011001"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-3.5205687494505836e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-3.5205687494505836e-08) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(-3.5205687494505836e-08) q[3];
cx q[1], q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(-3.520568749... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[1], q[2];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IZIIIIZ",
"IIIIZZI",
"IZIIZII",
"IIIZIZI",
"IZIZIII",
"ZIIIIZI",
"ZZIIIII",
"ZIIZIII",
"IIZIZII",
"IIZZIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IIZIIII"
] | [
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,
-1,
-1.5,
-1.5,
-1
] | 0.727273 | [
-3.5205687494505836e-8,
1.5707963620190255,
-1.570796337047965,
1.1245655931830818e-8,
1.5707962720945496
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 160 |
a6f2ec57af099b3bb5cc46b59481f5f7 | 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": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 4, "target": 7}, {"sour... | {"states": [255, 223], "expectation_value": -0.47808122898576066, "params": [[-0.040100000000000004], [0.0424]], "bitstrings": ["00000000", "00100000"], "total_optimization_steps": 10, "probabilities": [0.004632579330265356, 0.004664111657003733], "optimization_time": 0.9208142757415771} | -1.0 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -2.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["00100000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.1632874795536836) q[0];
cx q[1], q[0];
rz(-0.40236975800762487) q[0];
rx(2.086277834688468) q[0];
rz(-0.40236975800762487) q[1];
rx(2.086277834688468) q[1];
rz(-3.1589572779822106e-07) q[2];
ry(0.5154815078935998) q[2];
rz(-1.5707959... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[4], q[3]... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIZIIII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII"
] | [
-1,
-2.5,
1,
-2.5,
-2,
-2.5,
-2,
0.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.562206 | [
-1.1632874795536836,
-0.6387802970470341,
-0.4240326588684522,
-0.6899810266036026,
-0.40236975800762476,
1.5707961478154864,
2.086277834688468
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 211 |
953796ca4b6137c6c134989cdf6bb9e5 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 6, "source": 2, ... | {"states": [128, 1], "expectation_value": -2.6769887878344525, "params": [[0.0656, 0.0543, -0.0045000000000000005, -0.0627], [-0.0751, -0.06470000000000001, -0.042300000000000004, 0.0048000000000000004]], "bitstrings": ["01111111", "11111110"], "total_optimization_steps": 10, "probabilities": [0.010242727898435486, 0.0... | -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... | 1 | 8 | 4 | {"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 |
1dcb3c744ddd55658248ce3c7196418c | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}]} | {"states": [56947, 56955], "expectation_value": -16.626375474811596, "params": [1.0694000000000001, -0.0056, 1.0676, 0.1481, 0.47990000000000005, 0.3062, 0.6533, 0.2615, 1.0658, 0.0178, 0.9745, -0.0458, 1.0138, -0.2524, 0.4848, -0.2962, 0.4842, 0.29560000000000003, 0.9839, 0.24960000000000002, 0.9808, 0.0881, 1.0657, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7... | 18 | 16 | 3 | {"smallest_eigenvalues": [-19.999999999999897], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999854, "smallest_bitstrings": ["0010000110000100"], "largest_eigenvalue": 4.322526443232451e+270} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(1.0652804248318555) q[0];
rz(-0.4790339043757319) q[0];
rx(0.9745577300577288) q[1];
rz(0.29346053770470665) q[1];
rx(0.0157130110860835) q[2];
rz(0.618448567596635) q[2];
rx(1.0308831125161482) q[3];
rz(0.23627299479722735) q[3];
rx(1.1756644845217723) q[4];
rz(0.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIZI",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIIIIIZ",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
... | 0.970132 | [
1.0652804248318557,
-0.3214709232980808,
0.9745577300577288,
0.29346053770470665,
0.0157130110860835,
0.618448567596635,
1.0308831125161482,
0.23627299479722735,
1.1756644845217723,
0.3067858491711559,
1.00009586838585,
-0.016079870551915385,
1.0041750502695932,
-0.3884080547291887,
0.19... | {
"n_parameters": 137,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999897,
"target_ratio": 0.97,
"target_value": -19.3999999999999
} | 19 |
d32bae70887cbda0fd64e6ae105154d4 | 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": 7, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 18, "source": 1, "target": 3}, {"weight": 8, "source": 2, "targ... | {"states": [221, 220], "expectation_value": -21.16211287772591, "params": [[0.0267, 0.0015, -0.0082], [-0.0482, -0.043300000000000005, -0.0256]], "bitstrings": ["100100010", "100100011"], "total_optimization_steps": 10, "probabilities": [0.004444381222364073, 0.005446515361302744], "optimization_time": 7.66006135940551... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-91.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.0, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 189.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.1621346981994899) q[0];
rz(1.219855244128853) q[0];
rx(1.49996168361611) q[1];
rz(0.012973842691636614) q[1];
rx(1.8224941963463162) q[2];
rz(0.11473252339454168) q[2];
rx(0.35557846104245544) q[3];
rz(0.4777493280871876) q[3];
rx(1.7783067709589961) q[4];
rz(0.100... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIZIIIZII",
"IIZIIZIII",
"IIZIZIIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZZIIIII",
"IZIIZIIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"... | [
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,
6.5,
3.5,
22.5,
13,
21,
23.5,
21.5,
1,
4.5
] | 0.975155 | [
0.1621346981994899,
0.8907909437276,
1.49996168361611,
0.012973842691636614,
1.8224941963463162,
0.11473252339454168,
0.35557846104245544,
0.4777493280871876,
1.7783067709589961,
0.10092441617979156,
1.4152144998462595,
-0.06409716579262772,
1.6293285773649606,
0.15823143802141262,
0.028... | {
"n_parameters": 53,
"n_qubits": 9,
"optimal_eigenvalue": -91,
"target_ratio": 0.97,
"target_value": -88.27
} | 13 |
834390fba4c480def6c6a26217d7a9af | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5... | {"states": [1, 33], "expectation_value": -9.6510394803577, "params": [[[0.0043, 0.5553], [-0.5877, 0.0012000000000000001], [0.0019, 0.7539], [0.0044, 0.7383000000000001], [0.0021000000000000003, 0.7146], [0.0026000000000000003, 0.7412000000000001], [0.9967, -0.0005]], [[0.0018000000000000002, 0.6648000000000001], [-0.5... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(1) @ Z(6)) + -0.75 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) + 1.5 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1011110"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(2.869273259256995) q[0];
ry(0.09542235691189135) q[0];
rz(-1.8369290239007654) q[0];
rz(-1.3551396718991269) q[1];
ry(2.50727987045565) q[1];
rz(1.7167877129662905) q[1];
rz(2.3001577391064183) q[2];
ry(0.08000879805697068) q[2];
rz(-0.6784659726885094) q[2];
rz(-1.9... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIIIZZI",
"IIIZIZI",
"IZIIIZI",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI"
] | [
-0.25,
-0.75,
-0.75,
-0.75,
-0.25,
2.25,
-0.25,
-0.75,
-0.25,
-0.75,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
1.5,
1.5
] | 0.97592 | [
-0.005918934518704563,
0.49370722410123724,
-0.8849965050263602,
0.07845337494703145,
0.02616735845959705,
0.7776578446832089,
-0.05296051004187756,
0.6678277614367606,
0.20933129799598119,
0.8357708806427091,
-0.050070225743099474,
0.7236417753361262,
1.1561876310254893,
-0.03088305928298... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 4 |
2811d61d5f2af44ed340d40c20ed9351 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [1977, 1721], "expectation_value": -3.137402688423822, "params": [[[0.7602, -0.0002, 0.0007, 0.0068000000000000005], [0.21180000000000002, 0.0102, 0.7804, 0.007500000000000001], [-0.15430000000000002, -0.006200000000000001, 0.0049, -0.0066], [0.5182, -0.0235, 0.5038, 0.0002], [0.012400000000000001, 0.0130000... | 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... | 12 | 11 | 4 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.625, "smallest_bitstrings": ["00010000111", "00010101001", "00001010110", "01000001101", "00101000110", "001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.008865039116866) q[0];
rz(0.046061827352180805) q[0];
ry(-0.1178852825250914) q[1];
rz(0.27829789344262645) q[1];
cz q[1], q[0];
ry(0.7395785684145371) q[0];
rz(0.25930506959302635) q[0];
ry(1.8785794145123382) q[1];
ry(-0.013192767967563551) q[2];
rz(-0.168361338... | 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": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIZIIZI",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIIIIZZZ",
"IIIIIIIZIZZ",
"IIIIIIZIIZZ",
"IIIIIIIZZIZ",
"IIIIIIZIZIZ",
"IIIIIIZZIIZ",
"IIIIIIIZZZI",
"IIIIIIZIZZI",
"IIIIIIZZI... | [
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,
0.0625,
0.0625,
0.0625,
0.0625,
0.062... | 0.97575 | [
1.008865039116866,
0.046061827352180805,
-0.1178852825250914,
0.27829789344262645,
-0.013192767967563551,
-0.16836133853821558,
0.7624316037340955,
-0.08143741373555383,
0.0010459890769583327,
-0.22073670180141544,
0.6737350169334692,
0.06213864785606113,
-0.11555027206492512,
0.0518644535... | {
"n_parameters": 117,
"n_qubits": 11,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 91 |
20a8103f07dd8a24047f028e6edcf2b9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 14, "source": 1, "target": 3}, {"weight": 14, "source": 1, "target": 4}, {... | {"states": [158, 122], "expectation_value": -20.152871797571386, "params": [[-0.0053, 0.0223, 0.0146, 0.0053], [0.0095, -0.0403, -0.0528, -0.049800000000000004]], "bitstrings": ["01100001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.009624197774114648, 0.01166540696974978], "optimization_time": 7.... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-67.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 161.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.2272642165478831) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.2272642165478831) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.2272642165478831) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(-0.2272642165478831) q[3];
cx q[2], 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": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11.5,
12,
15,
19,
15.5,
6,
13.5,
9
] | 0.977575 | [
-0.2272642165478831,
0.24690528235963702,
-1.616083881978433,
0.017740733314421664,
-0.14747982232849638,
0.3724409492159851,
-0.3700067438537054,
-0.3747534950486415,
-1.2525943523608623,
0.1296028652764544,
0.2611058491705527,
0.6338612826613662,
0.30862829146170234,
0.9608679921026143,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -67.5,
"target_ratio": 0.97,
"target_value": -65.475
} | 95 |
a4887282391b847c36275b441eb6d545 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": ... | {"states": [0, 20], "expectation_value": -5.499864653365336, "params": null, "bitstrings": ["111111", "101011"], "total_optimization_steps": 19, "probabilities": [1.9001409475734576e-05, 0.9999182925217276], "optimization_time": 16.501189470291138} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(1) + -2.0 * Z(0) + -2.0 *... | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["111100", "101011"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.5947826491304309) q[0];
ry(-3.1353499367076596) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5947826491304309) q[2];
h q[3];
ry(1.4438293180331603) q[3];
ry(-0.08654683917800882) q[4];
rz(-pi) q[4];
cx q[3], q[4];
ry(0.08255773053450952) q[4];
cx q[3], q[4];
ry(-0.08... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-2,
-2,
-1.5,
-1.5,
-1.5
] | 0.999195 | [
-1.5947826491304309,
-1.4016917570823781,
1.4438293180331603,
-0.16511546106901903,
0.2414485837592053,
0.10282247901678558
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
6abfcea40fcfb2aee6e60541a981751a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 5}, {"capacity": 1, "source": 3, ... | {"states": [91, 127], "expectation_value": -0.018866055530989245, "params": [[-0.044500000000000005], [0.0534]], "bitstrings": ["10100100", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004055758613021563, 0.004074256300394301], "optimization_time": 1.4531192779541016} | 0.25 * (Z(0) @ Z(7)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(4) @ Z(6)) + 0.0 * Z(7) + -0.25 * Z(0) + -0.5 * Z(6) + 0.5 * Z(1) + 0.0 * Z(2) + -0.25 * Z(5) + 0.25 * Z(3) + 0.25 * Z(4) | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.5, "smallest_bitstrings": ["10000000", "10100100", "10000100"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(-1.0595857759622829) q[0];
cx q[7], q[0];
rz(0.6048134702058414) q[0];
rx(1.029216584893515) q[0];
cx q[7], q[6];
rz(0.6048134702058412) q[6];
cx q[7], q[6];
cx q[6], q[1];
rz(-0.097899551... | 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[7], q[0];
rz(x0) q[0];
cx q[7], q[0];
cx q[7], q[6];
rz(x1) q[6];
cx q[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"ZIIIIIIZ",
"ZZIIIIII",
"IZIIIIZI",
"IZIIIZII",
"IIZIIZII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII"
] | [
0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
0,
-0.25,
-0.5,
0.5,
0,
-0.25,
0.25,
0.25
] | 0.577358 | [
-1.0595857759622829,
0.6048134702058412,
-0.09789955183094325,
-0.06106895996654886,
-1.6195074235481492,
1.0292165848935153
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 157 |
59c7593c47cfd4ca2ab0ec4e9d99b357 | 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": 6}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 6, "source": 1, "target": 4}, {"capacity": 6, "source": 1, ... | {"states": [128, 127], "expectation_value": -19.276434716802537, "params": [[[0.0019, -0.0112], [0.00030000000000000003, 0.0019], [-0.0022, 0.0028], [-0.0012000000000000001, -0.0028], [0.0071, 0.0029000000000000002], [0.0078000000000000005, 0.0025], [0.0048000000000000004, -0.0009000000000000001], [1.6715, 0.0059]], [[... | -1.0 * (Z(0) @ Z(6)) + -1.0 * (Z(7) @ Z(6)) + 1.25 * (Z(7) @ Z(0)) + -1.25 * (Z(1) @ Z(6)) + -1.5 * (Z(1) @ Z(7)) + -2.0 * (Z(4) @ Z(6)) + -1.5 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(1)) + -2.75 * (Z(2) @ Z(4)) + -1.75 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(7)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z... | 15 | 8 | 2 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.02620253547107228) q[0];
ry(-0.046454609884771736) q[1];
ry(0.13813538501529748) q[2];
ry(0.07593442227315245) q[3];
ry(-0.06482190271250693) q[4];
ry(-0.20367417839896976) q[5];
ry(-0.05949869706339718) q[6];
ry(2.1939800684657462) q[7];
cx q[7], q[0];
cx q[6], 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": []} | [
"IZIIIIIZ",
"ZZIIIIII",
"ZIIIIIIZ",
"IZIIIIZI",
"ZIIIIIZI",
"IZIZIIII",
"IIIZIIZI",
"IZIIIZII",
"IIIIIZZI",
"IIIZIZII",
"IZIIZIII",
"ZIIIZIII",
"IIIIZIZI",
"IIIZZIII",
"IIIIZZII",
"IZZIIIII",
"IIZIIZII",
"IIZIZIII",
"IZIIIIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIZIII... | [
-1,
-1,
1.25,
-1.25,
-1.5,
-2,
-1.5,
-0.5,
-0.5,
-2.75,
-1.75,
-1.25,
-1,
-0.25,
-1.5,
-0.75,
-0.25,
-1.5,
2.25,
-0.25,
-2.5,
0.25,
-2.5,
1,
0.75,
1
] | 0.97191 | [
-0.02620253547107228,
-0.046454609884771736,
0.13813538501529748,
0.07593442227315245,
-0.06482190271250693,
-0.20367417839896976,
-0.05949869706339718,
2.1939800684657462,
-0.12204536131059038,
0.030467583248756303,
-0.01728564726399001,
0.01041494868003607,
-0.03776129506921314,
-0.10559... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 47 |
5f517fa5ae2a3432c923e59e3a05558a | 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": [1874, 850], "expectation_value": -53.95535889868603, "params": [0.7754000000000001, -0.1603, 1.1051, -0.0117, 1.097, -0.0054, 0.0031000000000000003, -0.5953, 1.0969, 0.2886, 0.8153, 0.38780000000000003, 1.1089, 0.1822, -0.0017000000000000001, 0.73, 0.5890000000000001, 0.5063, 1.104, 0.3022, 0.0432, 0.6098, ... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(0) @ Z(2)) + 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(5) @ Z(2)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(4)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(9)) + 13.0 * Z(2) + 13.0 * Z(1) + 4.0 * Z(0) + -5.5 * Z(3) + 4.0 * Z(5) + 6.0 * Z(4) + -6.5 * Z(7) + 0.0 ... | 18 | 11 | 2 | {"smallest_eigenvalues": [-106.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -93.5, "smallest_bitstrings": ["10010101101"], "largest_eigenvalue": 121.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.16994973424940135) q[0];
rz(0.2775216426896572) q[0];
rx(1.8887375188806452) q[1];
rz(0.08197356623781005) q[1];
rx(1.5788900760682836) q[2];
rz(-0.010377961699079563) q[2];
rx(-0.10158285916532604) q[3];
rz(-0.4691987923148113) q[3];
rx(2.0443607474781675) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIZIIZII",
"IIIIIZZIIII",
"IIIZZIIIIII",
"IIZIIIZIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIZIIIIIII",
"IIIIZIIIIII",
"IIZIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
13,
13,
4,
-5.5,
4,
6,
-6.5,
0,
1,
8,
-3.5
] | 0.971614 | [
0.16994973424940135,
0.539563487062747,
1.8887375188806452,
0.08197356623781005,
1.5788900760682836,
-0.010377961699079563,
-0.10158285916532604,
-0.4691987923148113,
2.0443607474781675,
0.5762172557103358,
0.10482096508777929,
0.91300438299673,
1.979001436002169,
0.3162001105600847,
-0.... | {
"n_parameters": 63,
"n_qubits": 11,
"optimal_eigenvalue": -106.5,
"target_ratio": 0.97,
"target_value": -103.30499999999999
} | 24 |
-1298795054562362878 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 6], [2, 5], [2, 3], [2, 6], [1, 3], [8, 3], [0, 7], [4, 7], [8, 7], [5, 6], [0, 4], [3, 7]]} | {"states": [296, 297], "expectation_value": -2.7263594608491193, "params": null, "bitstrings": ["011010111", "011010110"], "total_optimization_steps": 72, "probabilities": [0.282285726459994, 0.42201001412536365], "optimization_time": 123.59033370018005} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 26, "first_excited_energy": -2.0, "smallest_bitstrings": ["000111100", "100111000", "111001010", "00010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(1.4715910982243252) q[0];
h q[1];
ry(-0.7207994209241905) q[1];
h q[2];
h q[3];
h q[4];
ry(-0.2984838648489591) q[4];
h q[5];
h q[6];
ry(-0.2294981561398657) q[6];
cx q[5], q[6];
ry(0.2294981561398657) q[6];
cx q[5], q[6];
ry(-0.16929458421765545) q[6];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[3], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... | [
"IIZIIIIIZ",
"IIZIIIZII",
"IIZZIIIII",
"IIIZIIZII",
"IIIIIZZII",
"IIIIIZIZI",
"ZIIIIZIII",
"IZIIIIIIZ",
"IZIIIZIII",
"ZZIIIIIII",
"IIIIZIIIZ",
"IZIIZIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIZIIIII",
"IIIIIZIII",
"IIIIIIIZI",
"ZIIIIIIII",
"IZIIIIIII",
"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,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.974758 | [
-0.4589963122797314,
1.4715910982243252,
-0.3385891684353109,
1.5158650508796265,
-1.441598841848381,
-1.5915015797298298,
-0.6994296227595852,
0.1906969465849507,
0.21714012700300173,
-0.5183361641480924,
0.07944888112834246,
-0.5969677296979182,
0.023970704911453047,
-0.3478842045258552,... | {
"n_parameters": 58,
"n_qubits": 9,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 15 |
4237845c232746c3e0d0cf50f5cff487 | 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": 8, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 5}, {"weight": 19, "source": 0, "tar... | {"states": [437, 244], "expectation_value": -37.67536172926095, "params": [[-0.0359, -0.0031000000000000003, 0.011300000000000001, 0.0049], [0.07590000000000001, 0.0776, 0.0685, 0.0621]], "bitstrings": ["001001010", "100001011"], "total_optimization_steps": 10, "probabilities": [0.012167921385290957, 0.0144980364126252... | 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(4) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.5, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 169.5} | 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(-0.00651096302787409) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.00651096302787409) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(-0.00651096302787409) q[1];
cx q[0], q[1];
cx q[3], q[2];
rz(-0.00651096302787409) 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": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIZIIIZ",
"IIIIZIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"ZIIIIZIII",
"ZIIIIIZII",
"ZIZIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"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,
4.5,
23,
13,
19,
15,
10,
14,
-2,
2,
8
] | 0.977914 | [
-0.00651096302787409,
-1.3030672953464548,
1.350121617930897,
-1.4606460853675483,
-1.755055254032435,
-1.346866722652734,
-1.4301833371395873,
1.2674560608490602,
1.750950960923734,
2.0766284104101964,
1.6707514667144105,
-0.4138703775094488,
0.44449792191987664,
-0.4200048714281165,
-2... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -82.5,
"target_ratio": 0.97,
"target_value": -80.02499999999999
} | 115 |
fd959b015d7c5b50b2cd05831ed95a60 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [50, 44], "expectation_value": -0.42311565907845505, "params": [[0.07350000000000001, 0.0671], [-0.063, -0.0534]], "bitstrings": ["001101", "010011"], "total_optimization_steps": 10, "probabilities": [0.02045500402500378, 0.02112150605466277], "optimization_time": 2.5894386768341064} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(5) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "010011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.2814273479283241) q[0];
cx q[5], q[0];
rz(0.988627421386453) q[0];
rx(-1.6100914394477277) q[0];
cx q[5], q[1];
rz(-0.2814273479283241) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.2814273479283241) q[2];... | 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": []} | [
"ZIIIIZ",
"ZIIIZI",
"ZIIZII",
"IIIZZI",
"ZIZIII",
"IIZIZI",
"IZIZII",
"IZZIII",
"ZIIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-1,
-1,
-0.5
] | 0.793132 | [
-0.2814273479283241,
-2.083999084261337,
0.9886274213864532,
-0.2943566891904666,
-0.17545221926890683,
-1.6100914394477277,
0.44025124807503524,
1.5189639182857877,
-0.6158615151039641,
-0.2722032415841509,
-0.7056736669533165
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 249 |
d255f243d36c9a74978598fd3f1ae2aa | 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": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 3, "s... | {"states": [3, 1], "expectation_value": -4.45916371847206, "params": [[-0.0509, -0.047900000000000005, -0.023700000000000002], [0.0671, 0.06670000000000001, 0.0427]], "bitstrings": ["111111100", "111111110"], "total_optimization_steps": 10, "probabilities": [0.006215467099802261, 0.007650648161889784], "optimization_ti... | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(6)) + -0.25 * (Z(1) @ Z(2)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(8) @ Z(2)) + 3.0 * (Z(8) @ ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 23.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.0015797083872811958) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(0.0015797083872811958) q[6];
cx q[2], q[6];
cx q[0], q[6];
cx q[2], q[1];
rz(0.9191343808234266) q[1];
cx q[2], q[1];
cx q[2], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IZZIIIIII",
"IIIIIIZZI",
"IIIIZIZII",
"IIZIZIIII",
"IIIIZIIZI",
"IIIIIZZII",
"IIZIIZIII",
"IIIIZZIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"IZIZIIIII",
"IIIZIIIZI",
"IIIZZIIII",
"IIIZIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIZIIIIII",
"... | [
-1.25,
-1.25,
-1,
-0.5,
-1.25,
-0.25,
-1.25,
-0.5,
-0.75,
-0.5,
-0.25,
-1,
-0.5,
3,
-1,
-0.75,
-1,
-1.25,
2.5,
-0.25,
-2.75,
1.75,
-0.25,
-4.5,
1.5,
2.5,
-0.5
] | 0.966391 | [
0.0015797083872811958,
0.07444851338433524,
0.03178757882166383,
0.9191343808234266,
0.046583013805105114,
-0.6239256600860845,
-0.18609342583049215,
0.006772467483078026,
0.9753874413480804,
0.8080312418198444,
0.7786613312674362,
1.4362060176962061,
0.06557371914701193,
0.307507060029793... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -21.25,
"target_ratio": 0.97,
"target_value": -20.6125
} | 500 |
ceada473950316c985fdaa58a8618609 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 3}, {"weight": 10, "source": 2, "target": 3}, {... | {"states": [189, 109], "expectation_value": -28.47673227951655, "params": [[-0.033800000000000004, 0.0027, 0.0102], [0.0737, 0.0596, 0.062]], "bitstrings": ["01000010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.012545568359406524, 0.014580900338798969], "optimization_time": 6.203727722167969} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 167.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.018928191739904274) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.018928191739904274) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.018928191739904274) q[2];
cx q[0], q[2];
rz(0.14657733939079343) q[0];
rx(0.3533677365058779) q[0];
h q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
14,
4.5,
17.5,
13,
15,
23,
6.5,
13.5
] | 0.971601 | [
0.018928191739904274,
-1.2296849783401864,
0.14657733939079362,
-1.2247777007286582,
-0.06013279515597353,
-2.0386095780878914,
-1.6431671013193643,
0.6421356284179992,
-1.8359197421625808,
0.3533677365058779,
-0.05358507740007074,
-0.44427693109859534,
1.4350546521930594,
-0.6327842321609... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -71,
"target_ratio": 0.97,
"target_value": -68.87
} | 68 |
5dad688a93671469362a3d3d00961b05 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 3}, {"id": 1}, {"id": 4}, {"id": 2}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 3, "target": 1}, {"source": 1, "target": 4}, {"source": 4, "target": 2}]} | {"states": [28381, 27869], "expectation_value": -6.348399476104855, "params": [[0.9205000000000001, 1.4894, 0.6778000000000001, 1.4888000000000001, 1.2342, 0.6752, 0.2461, 1.4828000000000001, 0.7335, 0.6789000000000001, 1.4552, 1.4462000000000002, 1.4974, 0.7349, 1.4831], [-0.0076, 0.0509, 0.0017000000000000001, 0.0556... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.25 * (Z(3) @ Z(9)) + 0.25 * (Z(4) @ Z(10)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(11)) + 0.5 * (Z(5) @ Z(3)) ... | 10 | 15 | 2 | {"smallest_eigenvalues": [-8.749999999999972], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.749999999999964, "smallest_bitstrings": ["001001100100010"], "largest_eigenvalue": 26.25000000000013} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(1.054375204004865) q[0];
ry(1.2513372356561656) q[1];
ry(0.2824769594172304) q[2];
ry(1.4848254273950985) q[3];
ry(1.7704547616171795) q[4];
ry(-0.13250446412763625) q[5];
ry(-0.49590506331342876) q[6];
ry(1.052494121858556) q[7];
ry(0.7429880399328006) q[8];
ry(0.4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"IIIIIZIIIIIZIII",
"IIIIZIIIIIZIIII",
"IIIIIIIIIIZZIII",
"IIIZIIIIIZIIIII",
"IIIIIIIIIZIZIII",
"IIIIIIIIIZZIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1.25,
1.25,
1.25,
0.75,
0.75,
0.75
] | 0.975061 | [
1.054375204004865,
1.2513372356561656,
0.2824769594172304,
1.4848254273950985,
1.7704547616171795,
-0.13250446412763625,
-0.49590506331342876,
1.052494121858556,
0.7429880399328006,
0.41317392976743855,
2.5434800341621466,
1.571476038864509,
1.6619437044267633,
0.026188563071984666,
1.62... | {
"n_parameters": 45,
"n_qubits": 15,
"optimal_eigenvalue": -8.749999999999972,
"target_ratio": 0.97,
"target_value": -8.487499999999972
} | 53 |
26d7f56e59bfdf48052023802b40605b | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [25, 28], "expectation_value": -2.999937482249151, "params": null, "bitstrings": ["00110", "00011"], "total_optimization_steps": 20, "probabilities": [1.635611710952993e-05, 0.9999687418118111], "optimization_time": 17.760130167007446} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(3) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["00011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(1.2499764251158545) q[0];
ry(-3.131892145691064) q[1];
rz(-pi) q[1];
cx q[0], q[1];
ry(-0.044478645155635405) q[1];
cx q[0], q[1];
ry(0.12664230797643383) q[0];
h q[2];
ry(1.5166171737405318) q[2];
ry(-0.03588918412791559) q[3];
rz(-pi) q[3];
ry(-0.0607466333... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[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",
"IZIZI",
"ZZIII",
"ZIIZI",
"ZIZII",
"IZIII",
"IIIIZ",
"IIIZI",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-0.5,
-1,
0
] | 0.996768 | [
-1.542809730398753,
-1.422554814258884,
1.2499764251158545,
1.5166171737405318,
-0.17498975827594188,
0.08895729031127081,
0.07763652938393162,
0.25328461595286766,
0.0158051754635434,
-0.01985291831550096,
-0.1417123084039368,
-0.06160524380502602,
-0.0461715348705158
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
1031550142790787292 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[5, 6], [3, 4], [4, 5], [0, 2], [1, 2]]} | {"states": [101, 106], "expectation_value": -0.053785436558120084, "params": [[0.0745], [-0.07350000000000001]], "bitstrings": ["0011010", "0010101"], "total_optimization_steps": 10, "probabilities": [0.008681290685717475, 0.008681290685717475], "optimization_time": 3.3541483879089355} | 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.0 * Z(6) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["0010101", "0011010", "1101010", "1100101"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.976631989960992) q[0];
cx q[2], q[0];
rz(1.8522825051547898e-08) q[0];
rx(-0.785398139464898) q[0];
cx q[2], q[1];
rz(0.976631989960992) q[1];
cx q[2], q[1];
rz(1.8522825051547898e-08) q[1];
rx(-0.785398139464898) q[1];
rz(1.8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[5];
rz(x0) q[5];
cx q[6], q[5];
cx q[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[2], q[0];
... | null | {"circuits": [], "gradients": []} | [
"ZZIIIII",
"IZZIIII",
"IIZZIII",
"IIIIZIZ",
"IIIIZZI",
"ZIIIIII",
"IZIIIII",
"IIZIIII",
"IIIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.609771 | [
0.976631989960992,
1.8522825385292805e-8,
-0.7853981394648979
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 89 |
9915ff93784d747e82bcd9a73a2399e5 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}]} | {"states": [1, 3], "expectation_value": -4.531544043536136, "params": [[[0.09730000000000001, -0.1975], [0.2053, 0.1628], [0.1865, 0.16640000000000002], [0.4806, 0.0024000000000000002], [0.4934, -0.002]], [[0.099, -0.1975], [0.20420000000000002, 0.1628], [0.187, 0.16640000000000002], [0.48190000000000005, 0.00240000000... | 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)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -3.0 * Z(0) + -2.5 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-0.0251969072812812) q[0];
h q[1];
ry(-0.5380823333224228) q[1];
h q[2];
ry(-0.5380823333224228) q[2];
h q[3];
cx q[3], q[1];
ry(0.5380823333224228) q[1];
cx q[3], q[1];
ry(-0.8810269947366784) q[1];
ry(1.3888852652990713) q[3];
h q[4];
cx q[4], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
1.75,
2,
2,
-2.5,
-3,
-2.5,
-2.25,
-2.25
] | 0.972771 | [
-1.7357936832727832,
-1.0761646666448457,
0.8318258295933451,
1.3888852652990713,
-0.5583266175622739,
-0.9112528734271876,
0.7301946700289301,
-0.2369592768426538,
0.13507114255148295,
0.06045175738101835,
0.5736330844182135,
0.4348793797484596,
-0.5033799150929571,
-0.6485481651535171,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 14 |
11e3db404ceab325d959c6faf4c54e2e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [11, 7], "expectation_value": -0.37980880889030944, "params": [[-0.0627, -0.028], [0.0747, 0.0568]], "bitstrings": ["1110100", "1111000"], "total_optimization_steps": 10, "probabilities": [0.00959456000295907, 0.009875664085662534], "optimization_time": 3.098317861557007} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1011010", "1010110", "1111000", "1001110", "1110100"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.007049071499525501) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.007049071499525501) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(-0.007049071499525501) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(-0.007049071499525501) 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[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIIZ",
"IZIIIZI",
"IZIIIIZ",
"ZIIIIIZ",
"IIZIZII",
"IZIIZII",
"IIZZIII",
"IIIZZII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1,
-1,
0,
-1,
-0.5
] | 0.970471 | [
-0.007049071499525501,
-0.9242864463836944,
1.4859283289212186,
1.648141262809948,
-1.3020927796447306,
1.3981695767054998,
-0.4690203450985888,
0.0064032613649141965,
0.6023180138289096,
0.14348718682098022,
0.27088386843300305
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 42 |
825abbfffae19b61aa653f6ccd815682 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 1, "target": 8}, {"sour... | {"states": [291, 295], "expectation_value": -2.8217138010769256, "params": [[[0.8497, -0.0031000000000000003], [-0.0025, -0.4965], [0.7269, 0.0373], [0.905, -0.0007], [0.7605000000000001, -0.0497], [0.1822, -0.3687], [0.8005, 0.0091], [0.9099, -0.0037], [0.9093, -0.0011]], [[0.8515, 0.0053], [-0.0026000000000000003, 0.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(1) + -0.5 * Z(4) + -0.5 * Z(6) + 0.0 * Z(8) + -0.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(7) | 1 | 9 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["110001100", "011011000", "011001100", "110011000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-0.4131730337819657) q[0];
ry(2.828606333810421) q[0];
rz(-2.1958251460404163) q[0];
rz(1.971515017770951) q[1];
ry(0.11140386091826704) q[1];
rz(-2.931017332479773) q[1];
rz(-2.063437888347999) q[2];
ry(0.08347182870248973) q[2];
rz(2.7684750802604148) q[2];
rz(-0.8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIZIIZI",
"IIZIIIIZI",
"IIZIZIIII",
"ZIIIIIIZI",
"IIIIIZIZI",
"IIIZIZIII",
"IZIZIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIZIII",
"IIIZIIIII",
"IZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-0.5,
-2,
-0.5,
-0.5,
0,
-0.5,
-0.5,
0
] | 0.976729 | [
1.5422173558976793,
-0.28926964074073624,
-0.3387857857826054,
0.10125417617619184,
-0.26545858462251426,
0.20405947116090603,
1.3462202917920394,
-0.18568472910196643,
1.1156773765330072,
-0.04069397128049223,
0.1041143129331058,
-0.1846690708463527,
-0.09825964805332073,
-2.0311362295480... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 63 |
1482f4f5abcf5f1c29a93218e5aedf4b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, ... | {"states": [6, 7], "expectation_value": -6.7661522816502035, "params": [0.0022, 0.3945, 0.0035, 0.4974, 0.0031000000000000003, 0.5148, 0.0013000000000000002, 0.5826, 0.0028, 0.5852, 0.44620000000000004, 0.20950000000000002, 0.7493000000000001, -0.026500000000000003, -0.4717, 0.036500000000000005, -0.0009000000000000001... | -0.5 * (Z(0) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(7) + -1.25 * Z(3) + 0.25 * Z(4) + -0.5 * Z(2) + 1.0 * Z(5) + 1.5 * Z(6) | 3 | 8 | 4 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.75, "smallest_bitstrings": ["11011000", "11111100", "11111000"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.012185233531157788) q[0];
rz(-0.14371858576511087) q[0];
rx(0.007031030376359929) q[1];
rz(0.2897352875796022) q[1];
rx(0.03703295545914785) q[2];
rz(0.21538689773784236) q[2];
rx(0.018548456488674744) q[3];
rz(0.2631140417298812) q[3];
rx(-0.04106692929657757) 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": []} | [
"IIIIIIZZ",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIIZZII",
"IIIZIZII",
"IIZIIZII",
"ZZIIIIII",
"IZIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIZIII",
"IIIZIIII",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.5,
0.75,
-0.5,
-1.5,
-0.25,
-0.25,
-1,
-1,
-0.5,
-0.5,
-0.25,
-0.25,
-1.25,
0.25,
-0.5,
1,
1.5
] | 0.985377 | [
-0.012185233531157788,
0.16024899196305356,
0.00703103037635993,
0.5162994626624118,
0.03703295545914786,
0.49809845414396875,
0.018548456488674744,
0.6519750213744733,
-0.04106692929657757,
0.5374198011724128,
0.14044029173835149,
0.12062919065026473,
0.705253149582738,
-0.118476525432784... | {
"n_parameters": 89,
"n_qubits": 8,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 3 |
-1649529797794769528 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 6], [0, 1, 3, 5, 7], [1, 3, 4, 5, 6, 8], [2, 4, 5, 6, 8], [0, 2, 4, 5, 6, 7], [0, 1, 4, 5, 6], [0, 2, 3, 4, 5], [0, 4, 5, 7, 8], [1, 3, 6, 7, 8], [0, 2, 4, 6, 7, 8], [0, 1, 5, 6, 7, 8], [0, 2, 3, 4, 8], [1, 2, 5, 7, 8], [0, 1, 4, 6, 7, 8]]} | {"states": [365, 367], "expectation_value": -1.9833255777085754, "params": [2.6574, 0.0034000000000000002, 1.5543, 0.0037, 2.6341, 0.0074, 2.459, 0.0041, 1.5235, 0.008, 1.5917000000000001, 0.0008, 2.6188000000000002, 0.0022, 1.5758, 0.0016, 2.6367000000000003, 0.0098, 0.0011, 0.008400000000000001, 0.0049, 0.0005, 0.005... | 0.21666666666666667 * (Z(1) @ Z(2)) + 0.2833333333333333 * (Z(6) @ Z(2)) + 0.36666666666666664 * (Z(6) @ Z(1)) + 0.16666666666666669 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.18333333333333332 * (Z(0) @ Z(6)) + 0.1 * (Z(3) @ Z(2)) + 0.13333333333333336 * (Z(3) @ Z(1)) + 0.08333333333333334 * (Z(3) @ Z(6... | 16 | 9 | 1 | {"smallest_eigenvalues": [-2.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333333, "smallest_bitstrings": ["010010000"], "largest_eigenvalue": 14.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(3.0492808333622428) q[0];
rz(0.4194778891358255) q[0];
rx(-0.08408157182347115) q[1];
rz(-0.2931315266781671) q[1];
cx q[1], q[0];
rz(-0.3537381137684963) q[0];
cx q[1], q[0];
rz(0.12771322652564027) q[1];
rx(-3.0782663329162654) q[2];
rz(0.180703512337824) q[2];
rx(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIZZI",
"IIZIIIZII",
"IIZIIIIZI",
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIZIIIIIZ",
"IIIIIZZII",
"IIIIIZIZI",
"IIZIIZIII",
"IIIIIZIIZ",
"IIIZIIZII",
"IIIZIIIZI",
"IIZZIIIII",
"IIIZIIIIZ",
"IIIZIZIII",
"IZIIIIZII",
"IZIIIIIZI",
"IZZIIIIII",
"IZIIIIIIZ",
"IZIIIZIII",
"IZIZIIIII",
"... | [
0.21666666666666667,
0.2833333333333333,
0.36666666666666664,
0.16666666666666669,
0.16666666666666666,
0.18333333333333332,
0.1,
0.13333333333333336,
0.08333333333333334,
0.15000000000000002,
0.18333333333333335,
0.21666666666666667,
0.2,
0.26666666666666666,
0.13333333333333336,
0.11... | 0.983379 | [
3.0492808333622428,
0.06573977536732929,
-0.08408157182347115,
-0.2931315266781671,
3.2049189742633213,
-0.20642798513048946,
3.1230775960557193,
0.6146285476496585,
0.13534046606286548,
-0.14650994009901777,
2.726039759889235,
-0.41201287315610335,
3.1447530022811345,
-0.21841054870511506... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -2.833333333333334,
"target_ratio": 0.97,
"target_value": -2.748333333333334
} | 15 |
391f10ae0b39617f9448bce6ece927dd | 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": [175, 143], "expectation_value": -44.211389575820974, "params": [0.5977, 0.06520000000000001, 0.35910000000000003, 0.1376, 0.3694, -0.1247, 0.34840000000000004, -0.1177, 0.6003000000000001, -0.0033, 0.5946, 0.0031000000000000003, 0.5983, -0.0002, 0.601, -0.0021000000000000003, 0.5940000000000001, 0.0674, 0.3... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(3) @ Z(0)) + 6.0 * (Z(2) @ Z(4)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(7) @ Z(2)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(6) @ Z(1)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(6) @ Z(5)) + 13.5 * Z(0) + 2.5 * Z(1) + 2.5 * Z(3) + 10.0 * Z(4) + 3.0 * Z(2) + 20.0 * Z(7)... | 18 | 8 | 4 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["01110000"], "largest_eigenvalue": 152.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.8063695122894015) q[0];
rz(-0.19902060588943993) q[0];
rx(0.2294583992477875) q[1];
rz(0.08835364987175895) q[1];
rx(0.028701101979222765) q[2];
rz(-0.3743456670716683) q[2];
rx(0.15030399663708627) q[3];
rz(-0.1463057445226865) q[3];
rx(0.9003732512757261) 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]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"IIIZIZII",
"ZIIZIIII",
"ZIIIIZII",
"IIZIIIIZ",
"IIZIZIII",
"ZIZIIIII",
"IZIIIIZI",
"ZZIIIIII",
"IZZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIIIIZII",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
13.5,
2.5,
2.5,
10,
3,
20,
20,
14.5
] | 0.979862 | [
0.8063695122894015,
-0.1354604598117258,
0.2294583992477875,
0.08835364987175895,
0.028701101979222765,
-0.3743456670716683,
0.15030399663708627,
-0.1463057445226865,
0.9003732512757261,
-0.008622197142405183,
0.7509001511632496,
-0.16054096170253354,
0.7907373811172432,
0.3024714375046001... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -76,
"target_ratio": 0.97,
"target_value": -73.72
} | 15 |
c5b30b94cad3afd2b2d3cf8b55cce16a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 1, ... | {"states": [7, 23], "expectation_value": -1.5331200689642128, "params": [[0.0658], [-0.0692]], "bitstrings": ["11111000", "11101000"], "total_optimization_steps": 10, "probabilities": [0.00582306750869604, 0.006011960162306129], "optimization_time": 2.2264163494110107} | -0.75 * (Z(0) @ Z(1)) + -2.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -1.5 * (Z(4) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.75 * (Z(7) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + -1.25 * (Z(3... | 1 | 8 | 1 | {"smallest_eigenvalues": [-18.25, -18.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["11101000", "11111000"], "largest_eigenvalue": 22.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.03992472608385109) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.00269159676729528) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.012002982498467882) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.03992472608385109) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"ZIIIIIIZ",
"ZIIZIIII",
"ZIZIIIII",
"IZIZIIII",
"ZZIIIIII",
"IZIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIIZIII"
] | [
-0.75,
-2.75,
-0.5,
-0.75,
-1.5,
-1.75,
-0.25,
-0.25,
2.25,
-0.25,
-1.75,
-1.25,
-1.5,
-1.25,
-2.25,
-0.25,
-2,
0,
3,
-1.25,
4,
-1.25
] | 0.704523 | [
-0.03992472608385109,
-0.00269159676729528,
0.012002982498467882,
-0.027140045216093485,
0.025484428609887977,
0.1802066675376493,
1.9968684935125172,
-0.20796776869104522,
-1.5713798940041483,
-1.5612242179332285,
-0.06687445425594916,
1.6319185724475551,
1.523682567149112,
-1.28080419968... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -18.25,
"target_ratio": 0.97,
"target_value": -17.7025
} | 344 |
-1772138169485920227 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 9, 3, 6], [0, 1, 4, 6, 9], [1, 6, 7, 9, 10], [1, 2, 7], [10, 5], [0, 9, 5, 7], [1, 4, 6, 7], [1, 5], [1, 2, 3, 4, 8], [0, 1, 4, 9, 10], [9, 2, 4, 7], [10, 3, 6], [9, 2, 3, 7], [0, 1, 2, 3, 8], [0, 3, 4, 7, 8], [2, 10], [8, 9, 10], [0, 3, 4, 7, 10], [9, 10... | {"states": [1869, 1870], "expectation_value": -5.280551673383357, "params": [1.5664, 1.572, 2.1794000000000002, 0.8661000000000001, 1.3906, 1.6552, 0.008, -0.0038, 2.2927, 0.8478, 1.353, 1.6543, 0.0227, -0.0165, 1.5546, 1.5802, 2.0678, 1.0298, 1.3185, 1.8264, 0.6992, 0.7536, 1.49, 2.1523000000000003, -0.041, 0.1598, 1.... | 0.26666666666666666 * (Z(0) @ Z(10)) + 0.3333333333333333 * (Z(4) @ Z(10)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.18333333333333335 * (Z(7) @ Z(10)) + 0.26666666666666666 * (Z(7) @ Z(0)) + 0.3 * (Z(7) @ Z(4)) + 0.15000000000000002 * (Z(1) @ Z(10)) + 0.15000000000000002 * (Z(1) @ Z(0)) + 0.1 * (Z(1) @ Z(4)) + 0.183333... | 14 | 11 | 1 | {"smallest_eigenvalues": [-5.633333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5166666666666675, "smallest_bitstrings": ["00010110001"], "largest_eigenvalue": 23.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.6216425162502062) q[0];
rz(pi/2) q[0];
ry(2.149747418845923) q[1];
ry(1.4969419650968017) q[2];
ry(-0.11277934352413078) q[3];
ry(2.459025519620244) q[4];
ry(1.2072506101370604) q[5];
ry(0.09351888880643758) q[6];
ry(1.4338470761886049) q[7];
ry(2.0733041231884886... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"ZIIIIIIIIIZ",
"ZIIIIIZIIII",
"IIIIIIZIIIZ",
"ZIIZIIIIIII",
"IIIZIIIIIIZ",
"IIIZIIZIIII",
"ZIIIIIIIIZI",
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIZIIIIIZI",
"ZIIIIZIIIII",
"IIIIIZIIIIZ",
"IIIIIZZIIII",
"IIIZIZIIIII",
"IIIIIZIIIZI",
"ZIZIIIIIIII",
"IIZIIIIIIIZ",
"IIZIIIZIIII",
"IIZZIIIII... | [
0.26666666666666666,
0.3333333333333333,
0.3333333333333333,
0.18333333333333335,
0.26666666666666666,
0.3,
0.15000000000000002,
0.15000000000000002,
0.1,
0.18333333333333335,
0.18333333333333335,
0.2,
0.15000000000000002,
0.21666666666666667,
0.23333333333333334,
0.3,
0.316666666666... | 0.972491 | [
1.6216425162502062,
2.149747418845923,
1.4969419650968017,
-0.11277934352413078,
2.459025519620244,
1.2072506101370604,
0.09351888880643758,
1.4338470761886049,
2.0733041231884886,
1.2934852453464922,
0.32833576850998203,
1.5611535928500553,
-0.03645237082905907,
1.1025355937493655,
-0.0... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -5.633333333333334,
"target_ratio": 0.97,
"target_value": -5.464333333333333
} | 13 |
1cfe150f067bc5d84efb3a14c35d5953 | 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": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [96, 104], "expectation_value": -1.3522245186905923, "params": [[[0.4672, -0.24000000000000002, 0.0017000000000000001, 0.0094], [0.4687, 0.2553, 0.5017, 0.0108], [0.4913, -0.0654, 0.5021, -0.055400000000000005], [-0.44210000000000005, -0.0325, 0.49870000000000003, -0.0091], [0.4979, 0.006900000000000001, 0.5... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 11 | 8 | 2 | {"smallest_eigenvalues": [-2.75, -2.75, -2.75, -2.75, -2.75, -2.75, -2.75, -2.75], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.75, "smallest_bitstrings": ["01010111", "01011110", "01110101", "01111100", "10010111", "10011110", "10111100", "10110101"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.13826017295172913) q[0];
rz(-0.9357269036619493) q[0];
ry(0.04215684877918534) q[1];
rz(-0.1353255249701445) q[1];
cx q[1], q[0];
ry(-0.03439712450884938) q[0];
rz(-0.6363187492457996) q[0];
ry(0.1689862600508784) q[1];
rz(-0.6348021631558537) q[1];
ry(-0.550889677... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIZIIIZ",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIIIZZIZ",
"IIIZIZIZ",
"IIIZZIIZ",
"IIIZZZII",
"IIIZZZIZ",
"IZIIIZII",
"ZIIZIIII",
"IIZIIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IZZIIIZI",
"ZIZIIIZI",
"ZZIIIIZ... | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.125,
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,
-0.625,
-0.125,
-0.625,
-0.125,
-0.125
] | 0.971753 | [
0.13826017295172913,
-0.9357269036619493,
0.04215684877918534,
-0.1353255249701445,
-0.5508896779328171,
-0.09575930716618468,
0.06536641243412493,
0.6878399290054228,
0.8234069596363793,
-0.24733554506976912,
0.010146938737048701,
-0.0538696609155741,
-0.10239473317448217,
0.0409837498823... | {
"n_parameters": 56,
"n_qubits": 8,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 50 |
1cf62c7ab33fc7566dad05641a882509 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [89, 38], "expectation_value": -0.2798035810904134, "params": [[-0.0381, 0.07200000000000001], [0.0649, -0.0502]], "bitstrings": ["0100110", "1011001"], "total_optimization_steps": 10, "probabilities": [0.009074929551001816, 0.009251905731392071], "optimization_time": 3.619048833847046} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(5) + -1.0 * Z(2) + ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["0101110", "0100111", "1011001"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-3.5205687494505836e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-3.5205687494505836e-08) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(-3.5205687494505836e-08) q[3];
cx q[1], q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(-3.520568749... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IZIIIIZ",
"IIIIZZI",
"IZIIZII",
"IIIZIZI",
"IZIZIII",
"ZIIIIZI",
"ZZIIIII",
"ZIIZIII",
"IIZIZII",
"IIZZIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IIZIIII"
] | [
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,
-1,
-1.5,
-1.5,
-1
] | 0.727273 | [
-3.5205687494505836e-8,
1.5707963620190255,
-1.570796337047965,
1.1245655931830818e-8,
1.5707962720945496
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 160 |
0f265d41f16664956431af1416624534 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target... | {"states": [21930, 43605], "expectation_value": -0.023509141281043686, "params": [[-0.0804], [0.0742]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.67688534574673e-05, 1.67688534574673e-05], "optimization_time": 12.639034509658813} | 0.25 * (Z(0) @ Z(1)) + -0.000981404958677686 * (Z(2) @ Z(0)) + -0.000981404958677686 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0001549586776859504 * (Z(4) @ Z(0)) + -0.0006714876033057851 * (Z(4) @ Z(2)) + 0.0001549586776859504 * (Z(5) @ Z(1)) + -0.0006714876033057851 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0001549... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.019111570247904], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.019111570247839, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.0153925619834587} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.5699367347206497) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.04275221586101138) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.04275221586101138) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-1.5699367347206497) q[3];
cx q[2], 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[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.000981404958677686,
-0.000981404958677686,
0.25,
0.0001549586776859504,
-0.0006714876033057851,
0.0001549586776859504,
-0.0006714876033057851,
0.25,
0.0001549586776859504,
-0.0006714876033057851,
-0.0006714876033057851,
0.0001549586776859504,
-0.0006714876033057851,
-0.000671487... | 0.976667 | [
-1.5699367347206497,
-0.04275221586101138,
0.07402687704913598,
-0.05185239708943838,
0.01828171902982982,
0.7853878142698923
] | {
"n_parameters": 6,
"n_qubits": 16,
"optimal_eigenvalue": -2.019111570247904,
"target_ratio": 0.97,
"target_value": -1.9585382231404669
} | 25 |
95cd968028de95e9bd1f0d835e513284 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 5}, ... | {"states": [204, 206], "expectation_value": -2.7378711699882143, "params": [0.10200000000000001, -0.12760000000000002, 0.1009, -0.1452, 0.4339, -0.015000000000000001, 0.4123, -0.0233, 0.35860000000000003, -0.0723, 0.4015, -0.0675, -0.006, 0.2058, 0.0018000000000000002, 0.20700000000000002, -0.0105, 0.233, -0.0056, 0.23... | 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)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(8) @ Z(1)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(8)) + 0.125 * (Z(8... | 5 | 9 | 4 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.125, "smallest_bitstrings": ["001011010", "100100110", "100100101", "010110010", "101011000", "101100100", "001100110", "010100110",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.10468843332687085) q[0];
rz(0.17672023219230937) q[0];
rx(0.6623012323552471) q[1];
rz(-0.15956739999083158) q[1];
rx(0.028706933005168817) q[2];
rz(-0.6336621450124555) q[2];
rx(-0.45422356314339846) q[3];
rz(0.5476974900642233) q[3];
rx(0.3990766685472579) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIZZIII",
"IIIZIZIII",
"IIZIZIIII",
"IZIIIIIIZ",
"IIIZIIIZI",
"IIZIIIIZI",
"ZIIIIIIZI",
"IIZZIIIII",
"ZIIZIIIII",
"ZIZIIIIII",
"IIZZIIIZI",
"ZIIZIIIZI",
"ZIZIIIIZI",
"ZIZZIIIII",
"ZIZZIIIZI",
"IZIIIIZII",
"ZIIIIIZII",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
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,
0.125,
0,
-0.5,
-0.5,
-0.125,
-0.125,
-0.25,
0.125
] | 0.972173 | [
-0.10468843332687085,
0.29840746196258483,
0.662301232355247,
0.033203472962293944,
0.028706933005168814,
-0.5015033513355869,
-0.4542235631433985,
0.6221015474734747,
0.399076668547258,
0.23293563657159388,
0.29431187405811615,
-0.24058685261158946,
0.3612418143901153,
0.06365176819014363... | {
"n_parameters": 176,
"n_qubits": 9,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 128 |
921479f58efe64e2060ecee8a590e959 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 8}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 2, "s... | {"states": [256, 255], "expectation_value": -0.4957354026644163, "params": [[0.069], [-0.06420000000000001]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.002614271783997632, 0.0026512947303750614], "optimization_time": 2.890838623046875} | 0.25 * (Z(0) @ Z(8)) + -0.5 * (Z(1) @ Z(8)) + -0.5 * (Z(6) @ Z(8)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(8)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(1... | 1 | 9 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[8], q[0];
rz(-0.46842544332937147) q[0];
cx q[8], q[0];
rz(0.004089354776996235) q[0];
rx(-1.4500809729158126) q[0];
cx q[8], q[1];
rz(-0.0023118952614940014) q[1];
cx q[8], q[1];
cx q[8], q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"ZIIIIIIIZ",
"ZIIIIIIZI",
"ZIZIIIIII",
"IIZIIIIZI",
"ZZIIIIIII",
"IZIIIIIZI",
"IZZIIIIII",
"IZIIIIZII",
"ZIIIIZIII",
"IIZIIZIII",
"IIIIIZZII",
"IZIIZIIII",
"ZIIZIIIII",
"IIIZIIIZI",
"IIZZIIIII",
"IZIZIIIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"ZIIIIIIII",
"IIIIIIIIZ",
"... | [
0.25,
-0.5,
-0.5,
-1,
-0.5,
-0.25,
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-2.25,
-0.25,
0.25,
1.25,
-1.25,
0.25,
-1,
0,
3
] | 0.793137 | [
-0.46842544332937147,
-0.0023118952614940014,
-1.6382083687840676,
0.004089354776996218,
-0.02684876344883808,
-1.57569572524247,
-1.3113526099661215,
-1.5684994150240457,
-1.5661579311887162,
1.57184561806844,
-1.4500809729158126
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 250 |
238da0afcff22b3cc95b712a7ad70447 | 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": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [237, 371], "expectation_value": -0.16735743777220013, "params": [[0.07100000000000001, 0.06910000000000001], [-0.06960000000000001, -0.0679]], "bitstrings": ["100010010", "010001100"], "total_optimization_steps": 10, "probabilities": [0.002819788223447881, 0.002819788223447882], "optimization_time": 8.69412... | 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... | 1 | 9 | 2 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["100010010", "010001100"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.15400852379458427) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.15400852379458427) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.15400852379458427) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.15400852379458427) q[0];
cx q[3], q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIZZIIII",
"IIZIIIIIZ",
"IZIIIIIZI",
"IIIIZIZII",
"IIZIIIZII",
"ZIIIIIZII",
"IIZIZIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIZIZIZII",
"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.5,
0.125,
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,
-0.12... | 0.699923 | [
0.15400852379458427,
-0.16652351332765766,
0.9539397028763626,
1.06600767204121,
-0.6690269654905423,
0.34760366534217846,
-0.3361262054812998,
1.1832235155449329,
-0.26439160478237117,
-0.374497929541955
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 323 |
eee150816444ab6c0c032eb91552e06d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [230, 118], "expectation_value": -23.25210225318672, "params": [[0.0297, -0.0057, 0.008400000000000001, -0.004], [-0.0611, -0.0357, -0.0512, -0.0329]], "bitstrings": ["00011001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.01186187792053314, 0.015298513763276112], "optimization_time": 7.... | 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 6.5 * Z(0) + 14.5 * Z(3) + 16.0 * ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 147.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.08359153405910102) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(-0.08359153405910102) q[1];
cx q[0], q[1];
cx q[0], q[2];
rz(-0.08359153405910102) q[2];
cx q[0], q[2];
rz(-0.6230116833480315) q[0];
rx(-0.14138809184834245) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIIIIZZ",
"IIIIZIZI",
"IIIIIZIZ",
"IIIIZZII",
"IIIIIZZI",
"IIIZIIZI",
"IZIZIIII",
"IIZIIZII",
"IIZZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
6.5,
14.5,
16,
20.5,
5,
7,
16.5,
2.5
] | 0.974155 | [
-0.08359153405910102,
-0.6230116833480315,
1.5653275161268936,
1.0310613862456777,
1.5347143697465482,
0.46865926777689526,
0.8463733394794115,
2.317186358225583,
-0.5940988830094119,
-0.14138809184834245,
-0.0711672622474596,
-0.6201044770192409,
0.4086438400107286,
-0.32713169483651033,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 63 |
7d035ca1bf1f85a5b9e73dc65bf927bc | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [74, 98], "expectation_value": -2.0373742953258516, "params": [0.2068, 0.0092, 0.20090000000000002, 0.0043, 0.1971, 0.0061, 0.2015, -0.0018000000000000002, 0.06520000000000001, 0.058300000000000005, 0.0636, 0.0541, 0.19240000000000002, 0.0056, 0.19820000000000002, -0.0034000000000000002, 0.003900000000000000... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(4) + -0.5 * Z(0) + -1.0 * Z(6) + -0.5 * Z(1) + 0.0 * Z(3) + -1.0 * Z(2) + 0.0 * Z(5) | 5 | 7 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011101", "0110101", "1110001", "1011100", "0100111", "0001111", "1110100"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.8075440322763315) q[0];
rz(-0.17233184418281144) q[0];
rx(3.124138492170769) q[1];
rz(0.011419615743145012) q[1];
rx(3.124138492170769) q[2];
rz(-0.15260422056210507) q[2];
rx(3.124138492170769) q[3];
rz(-0.006212989049968726) q[3];
rx(3.124138492170769) q[4];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"IIZIIZI",
"IIIZIZI",
"IIZIZII",
"ZIIIZII",
"IZIIZII",
"IIZIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IIIIZII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1,
-0.5,
0,
-1,
0
] | 0.975181 | [
0.8075440322763316,
-0.15260422056210507,
3.124138492170769,
0.011419615743145012,
-0.006212989049968726,
-0.07324976718967273,
2.9640723805291644,
0.01532535124030912,
0.17816633416289118,
-0.24152388693238136,
0.030536062199610955,
-0.03945524724141247,
0.028897191296006146,
-0.008104990... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -72,
"target_ratio": 0.97,
"target_value": -69.84
} | 6 |
3669556b5012b2bd0210027af1e5ed26 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [83, 255], "expectation_value": -8.322194598654349, "params": null, "bitstrings": ["110101100", "100000000"], "total_optimization_steps": 100, "probabilities": [0.05633343200683513, 0.7768648491281878], "optimization_time": 183.60058164596558} | -0.25 * (Z(0) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + -0.5 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(8)) + -0.75 * (Z(1) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(7) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.03676123032734652) q[0];
h q[1];
ry(0.5071576030418723) q[1];
h q[2];
ry(1.009586282806144) q[2];
h q[3];
ry(0.772850589552062) q[3];
h q[4];
ry(1.5752266574126181) q[4];
h q[5];
cx q[5], q[1];
ry(-0.5071576030418723) q[1];
cx q[5], q[1];
cx q[1], q[3];
ry... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIZIIIZII",
"ZIIIIIZII",
"IIIIIIZZI",
"IIIIIZIZI",
"IIZZIIIII",
"IIIZIIIZI",
"IZZIIIIII",
"ZZIIIIIII",
"IZIIIIZII",
"IZIIIIIZI",
"IIZIZIIII",
"IZIIZIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"... | [
-0.25,
0.5,
-0.5,
-0.75,
-0.75,
-1.25,
-0.5,
-1.75,
-0.25,
-1,
-1,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-1.25,
-0.5,
0,
0.75,
0.25,
1.25,
0.5
] | 0.940312 | [
1.5682343384209747,
1.0143152060837446,
1.545701179104124,
1.462217447312978,
0.7676117492237735,
2.019172565612288,
1.5752266574126181,
0.21327531876877884,
0.8551016235555847,
-0.07352246065469303,
-0.0005168674884650517,
-1.0684414773818585,
2.540422049369729,
-0.4045446587566448,
-0.... | {
"n_parameters": 51,
"n_qubits": 9,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 500 |
cde6b48ed870286595c1455af7aff8bd | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [1, 14], "expectation_value": -0.23023771589134862, "params": [[-0.0562, -0.058300000000000005, -0.07970000000000001], [0.0711, 0.0626, 0.0731]], "bitstrings": ["1110", "0001"], "total_optimization_steps": 10, "probabilities": [0.07437773644061468, 0.08565613940594616], "optimization_time": 1.608550071716308... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["0001"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(x0) q[0];
... | null | {"circuits": [], "gradients": []} | [
"ZIIZ",
"ZIZI",
"ZZII",
"ZIII",
"IIIZ",
"IIZI",
"IZII"
] | [
0.5,
0.5,
0.5,
-1,
0,
0,
0
] | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
-3315078513891188780 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 4], [2, 7], [1, 4], [0, 7], [4, 6], [5, 6], [1, 5], [4, 7], [3, 4], [3, 5], [0, 3], [8, 0]]} | {"states": [39, 167], "expectation_value": -1.013551530823676, "params": [0.5689000000000001, 0.5751000000000001, 0.8767, 0.8749, 0.46790000000000004, 0.395, 0.9024000000000001, 0.9820000000000001, 0.5859, 0.5844, 0.5631, 0.5785, 0.9951000000000001, 0.9520000000000001, 1.0005, 0.9922000000000001, 0.9991000000000001, 0.... | 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.0 * Z(4) + 0.0 * Z(8) + 0.0 * Z(7) + 0.0 * Z(2) + 0.0 ... | 14 | 9 | 1 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["101011000", "010100111"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.060118715584261684) q[0];
rz(pi/2) q[0];
ry(1.7211418004699177) q[1];
ry(0.035488805813422356) q[2];
ry(1.724481569637006) q[3];
ry(-0.4982827000848218) q[4];
ry(-0.1116735520904755) q[5];
ry(1.8807345721314717) q[6];
ry(1.266467453060969) q[7];
ry(1.6852833247281... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"ZIIIZIIII",
"IZIIZIIII",
"IZIIIIZII",
"IIIIZIIZI",
"ZIIIIIIIZ",
"IZIIIIIIZ",
"IIZIZIIII",
"IIIZIIIZI",
"IIZZIIIII",
"IIIIZZIII",
"IIIIIZIIZ",
"IIIZIZIII",
"IIIIZIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIZIIIII",
"IIIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.977574 | [
-0.060118715584261684,
1.7211418004699177,
0.035488805813422356,
1.724481569637006,
-0.4982827000848218,
-0.1116735520904755,
1.8807345721314717,
1.266467453060969,
1.6852833247281493,
0.335867577745622,
1.4488859137807835,
-0.0010261086178331713,
-0.8740444888091597,
0.03874164749033393,
... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 43 |
64b81587301614454a8e204aef648a08 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 5, "source": 1, ... | {"states": [111, 65], "expectation_value": -0.5734849845676133, "params": [[0.0218, 0.0454], [-0.0216, -0.040400000000000005]], "bitstrings": ["10010000", "10111110"], "total_optimization_steps": 10, "probabilities": [0.004975252420643002, 0.005048656131384307], "optimization_time": 3.1751129627227783} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -1.25 * (Z(7) @ Z(1)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + 1.75 * Z(1) + -0.25 * Z(0) + -3.0 * Z(3) + -1.75 * Z(4) + 0.75... | 1 | 8 | 2 | {"smallest_eigenvalues": [-13.5, -13.5, -13.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -11.5, "smallest_bitstrings": ["10010000", "10011000", "10111110"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.7620331655042796) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.009727605300973743) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(0.022309653861594385) q[2];
cx q[3], q[2];
h q[4];
cx q[1], q[4];
rz(0.022309653861594385) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"IIIZIIZI",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIIIZZII",
"IIIZIZII",
"IIZIZIII",
"IIZIIZII",
"IZIIIZII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.25,
-1.5,
-0.75,
-1.25,
2,
-0.75,
-1,
-0.75,
-1.25,
-0.5,
-0.5,
1.75,
-0.25,
-3,
-1.75,
0.75,
2.5,
0,
0
] | 0.970256 | [
-0.7620331655042796,
0.009727605300973743,
0.022309653861594385,
-0.5342435375433542,
0.4659873954897646,
-0.037513852242874623,
-0.6135829027365842,
0.48420167523977486,
-0.6188044349738584,
-0.746188471536007,
1.1163776811111443,
-0.12719197134176755,
-0.03880296896392278,
-1.39805669698... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 176 |
6317467715134932870 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 4, 6], [2, 4, 6], [0, 4, 6], [0, 1, 4, 5], [0, 2, 3, 4, 5]]} | {"states": [121, 123], "expectation_value": -0.6833007773520742, "params": [[-0.3835], [0.3775]], "bitstrings": ["0000110", "0000100"], "total_optimization_steps": 40, "probabilities": [0.016939895975357964, 0.017193387196027945], "optimization_time": 2.255878448486328} | 0.08333333333333333 * (Z(1) @ Z(3)) + 0.13333333333333333 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.41666666666666663 * (Z(6) @ Z(4)) + 0.05 * (Z(2) @ Z(3)) + 0.21666666666666667 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.3666666666666665, -1.3666666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.2833333333333334, "smallest_bitstrings": ["0000011", "0000100"], "largest_eigenvalue": 4.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(-0.07233455166438953) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(-0.016658062882314625) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(-0.030231841781025635) q[4];
cx q[1], q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(-0.07233455... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIZIZI",
"IIZZIII",
"IIZIIZI",
"ZIIZIII",
"ZIIIIZI",
"ZIZIIII",
"IIIZZII",
"IIZIZII",
"ZIIIZII",
"IIIZIIZ",
"IIIIIZZ",
"IIZIIIZ",
"ZIIIIIZ",
"IIIIZIZ",
"IZIZIII",
"IZIIIZI",
"IZZIIII",
"IZIIZII",
"IZIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"III... | [
0.08333333333333333,
0.13333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.41666666666666663,
0.05,
0.21666666666666667,
0.16666666666666666,
0.05,
0.08333333333333333,
0.3,
0.16666666666666666,
0.05,
0.05,
0.08333333333333333,
0.13333333333333333,
0... | 0.976722 | [
-0.07233455166438953,
-0.016658062882314625,
-0.030231841781025635,
-0.09652191601048916,
-0.03023851586104679,
-0.022817915643592146,
-0.13363421312979792,
-1.225580768153649,
-1.6055341408979535,
1.6950767262984596,
-1.6088203150548623,
-1.4547966461055613,
-1.2991619413314293,
1.5326588... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -1.3666666666666665,
"target_ratio": 0.97,
"target_value": -1.3256666666666665
} | 60 |
-7841320215262725219 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 5], [0, 2], [1, 2, 4, 5], [0, 3, 5]]} | {"states": [54, 29], "expectation_value": -0.5269686292438232, "params": [[0.3776], [-0.37870000000000004]], "bitstrings": ["001001", "100010"], "total_optimization_steps": 40, "probabilities": [0.033882040271998606, 0.03493233300288741], "optimization_time": 2.5241849422454834} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.25 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.16666666... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.4166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.3333333333333337, "smallest_bitstrings": ["100010"], "largest_eigenvalue": 3.5000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.22340899797940786) 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(0.060554165812581585) q[5];
cx q[1], q[5];
cx q[0], q[5];
cx q[1], q[2];
rz(0.036552475395125274) q[2];
cx q[1], q[2];
cx q[1], q[4];
rz(0.03655... | 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",
"ZIIIZI",
"ZIIIIZ",
"IIIZZI",
"IIIZIZ",
"ZIIZII",
"IZIIZI",
"ZZIIII",
"IZIZII",
"IIZIIZ",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IZIIII",
"IIZIII"
] | [
0.16666666666666666,
0.25,
0.3333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.29166666666666663,
0.3333333333333335,
0.45833333333333337,
0.1250000000000001,
0.125... | 0.667733 | [
0.22340899797940786,
0.060554165812581585,
0.013562151282243588,
0.036552475395125274,
1.488226417246031,
1.4024197021471703,
1.454973909411638,
-0.01224052752524754,
-0.8831764690256657
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -1.4166666666666667,
"target_ratio": 0.97,
"target_value": -1.3741666666666668
} | 223 |
8047548112405845728 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 3, 6, 7, 8], [9, 3, 7], [0, 4], [9, 4, 7], [0, 6], [8, 3, 4, 7], [0, 1, 2, 3, 9], [1, 3, 5, 7, 8], [9, 3, 5]]} | {"states": [507, 491], "expectation_value": -2.5695276335208534, "params": [0.19720000000000001, 0.6623, 0.1967, 0.0018000000000000002, 1.4916, -0.0207, 1.4823000000000002, 0.0077, 1.5005000000000002, 0.0926, 1.4812, 0.0002, 1.4876, 0.2763, 1.2504, 0.0048000000000000004, 1.5021, -0.07590000000000001, 1.4984000000000002... | 0.15000000000000002 * (Z(1) @ Z(3)) + 0.05 * (Z(6) @ Z(3)) + 0.05 * (Z(6) @ Z(1)) + 0.35 * (Z(7) @ Z(3)) + 0.1 * (Z(7) @ Z(1)) + 0.05 * (Z(7) @ Z(6)) + 0.18333333333333335 * (Z(8) @ Z(3)) + 0.1 * (Z(8) @ Z(1)) + 0.05 * (Z(8) @ Z(6)) + 0.18333333333333335 * (Z(8) @ Z(7)) + 0.3833333333333333 * (Z(9) @ Z(3)) + 0.05 * (Z(... | 5 | 10 | 1 | {"smallest_eigenvalues": [-2.8500000000000005, -2.8500000000000005], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.8499999999999996, "smallest_bitstrings": ["1010010100", "1000010100"], "largest_eigenvalue": 7.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.07806523251994485) q[0];
rz(1.0972416142465828) q[0];
rx(1.7497284973472906) q[1];
rz(0.11073649873850355) q[1];
rx(1.669133092603759) q[2];
rz(0.33990622767533285) q[2];
rx(1.531473670761796) q[3];
rz(-0.001523374900650687) q[3];
rx(1.5653389403119211) 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": []} | [
"IIIIIIZIZI",
"IIIZIIZIII",
"IIIZIIIIZI",
"IIZIIIZIII",
"IIZIIIIIZI",
"IIZZIIIIII",
"IZIIIIZIII",
"IZIIIIIIZI",
"IZIZIIIIII",
"IZZIIIIIII",
"ZIIIIIZIII",
"ZIIIIIIIZI",
"ZIZIIIIIII",
"IIIIIIZIIZ",
"IIIIIIIIZZ",
"IIIZIIIIIZ",
"ZIIIIIIIIZ",
"IIIIIZZIII",
"IIZIIZIIII",
"IZIIIZIIII"... | [
0.15000000000000002,
0.05,
0.05,
0.35,
0.1,
0.05,
0.18333333333333335,
0.1,
0.05,
0.18333333333333335,
0.3833333333333333,
0.05,
0.3333333333333333,
0.05,
0.05,
0.5,
0.05,
0.08333333333333333,
0.25,
0.08333333333333333,
0.16666666666666666,
0.5,
0.05,
0.05,
0.05,
0.... | 0.975526 | [
-0.07806523251994484,
0.7255937624900636,
1.7497284973472904,
0.11800474590151125,
1.669133092603759,
0.31278521567241385,
1.5314736707617955,
0.004743069875787313,
1.5653389403119213,
-0.07791130273913975,
0.7630659295415501,
-0.6690692530165702,
1.6317284983337415,
-0.10057686615897062,
... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -2.8500000000000005,
"target_ratio": 0.97,
"target_value": -2.7645000000000004
} | 54 |
c44dfb9664e861f7a27d6711164d42e9 | 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": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target":... | {"states": [478, 510], "expectation_value": -16.763075045187243, "params": null, "bitstrings": ["000100001", "000000001"], "total_optimization_steps": 100, "probabilities": [0.07038242034868242, 0.3243208951341524], "optimization_time": 275.0731258392334} | -3.0 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(1)) + -3.5 * (Z(3) @ Z(0)) + 1.0 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(3)) + 1.0 * (Z(6) @ Z(1)) + -3.5 * (Z(6) @ Z(0)) + -3.0 * (Z(6) @ Z(3)) + 1.5 * (Z(6) @ Z(5)) + -3.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + -3.5 * (Z(4) @ Z(3)) + -3.5 * (Z(4) @ Z(5)) + -3.5... | 1 | 9 | 1 | {"smallest_eigenvalues": [-33.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.5, "smallest_bitstrings": ["000000001"], "largest_eigenvalue": 40.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.0953738749539812) q[0];
h q[1];
h q[2];
ry(0.23406646036144158) q[2];
h q[3];
ry(0.6864284889737925) q[3];
h q[4];
h q[5];
h q[6];
ry(0.5620160641507236) q[6];
cx q[4], q[6];
ry(-0.5620160641507236) q[6];
cx q[4], q[6];
cx q[6], q[3];
ry(-0.6864284889737925... | 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[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIZIII",
"IIZZIIIII",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIZZIIII",
"IIZIZIIII",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIZIIZII",
"IIZIIIZII",
"IIIIZIZII",
"IZIIIIIIZ",
"... | [
-3,
1,
-3.5,
1,
-3.5,
1,
1,
-3.5,
-3,
1.5,
-3,
2,
-3.5,
-3.5,
-3.5,
1,
1,
-3,
-3.5,
1,
0.5,
-3,
0.5,
1,
0.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.971344 | [
1.1240321283014472,
1.372856977947585,
0.1907477499079624,
-0.03916920316121643,
-0.02581243925547589,
0.5011350032058727,
-1.2957091212052145,
1.5038037879095527,
-0.024958112787347952,
1.2283228352785718,
1.595361817641532,
0.3291286217161939,
0.07820757330814265,
0.46813292072288315,
... | {
"n_parameters": 70,
"n_qubits": 9,
"optimal_eigenvalue": -33.5,
"target_ratio": 0.97,
"target_value": -32.495
} | 265 |
885062aa0c1a31cf5a193f1a32bffef7 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, ... | {"states": [18, 22], "expectation_value": -4.671414443822666, "params": [-0.0064, 0.0, 0.0017000000000000001, 0.0027, 1.6729, 0.009600000000000001, 0.388, 0.0058000000000000005, 1.6709, 0.0057, 1.8031000000000001, 0.0095, -0.0013000000000000002, 0.0085, 0.007, 0.003, 0.0081, 0.004, 0.0088, 0.0058000000000000005], "bits... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.5 *... | 3 | 7 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["1101001"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.021072593850822063) q[0];
rz(0.2765857801497469) q[0];
rx(0.16950039477152695) q[1];
rz(0.0695790676876844) q[1];
rx(2.5687485906629814) q[2];
rz(-0.5370194150143539) q[2];
rx(0.197336122499063) q[3];
rz(0.1788281523420414) q[3];
rx(2.8557809246288337) q[4];
rz(0.2... | 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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZZIII",
"IZIIIZI",
"ZIIIIZI",
"ZIIIZII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"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,
0.5,
-2,
-1.5,
-1.5,
-1,
-1.5,
-0.5,
-1.5
] | 0.970975 | [
0.021072593850822063,
0.2191158966212049,
0.16950039477152695,
-0.24923337257882106,
2.5687485906629814,
-0.5190896520238735,
0.19733612249906302,
0.19794826629618956,
2.8557809246288337,
-0.09660850004403976,
3.1276761766022516,
-0.11637809025585549,
-0.10041881598941219,
0.15828056727644... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 16 |
7d692558456761e29e124f5d9d91ce94 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4},... | {"states": [2045, 2047], "expectation_value": -1.9768483343913563, "params": [[0.0494], [-0.041800000000000004]], "bitstrings": ["00000000010", "00000000000"], "total_optimization_steps": 10, "probabilities": [0.0007937570429351975, 0.0008081654942330777], "optimization_time": 7.341762065887451} | -2.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(5)) + -3.5 * (Z(6) @ Z(5)) + -3.5 * (Z(6) @ Z(4)) + -2.5 * (Z(8) @ Z(5)) + -2.5 * (Z(8) @ Z(4)) + 1.5 * (Z(8) @ Z(6)) + -3.0 * (Z(10) @ Z(5)) + 1.5 * (Z(10) @ Z(4)) +... | 1 | 11 | 1 | {"smallest_eigenvalues": [-40.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -38.5, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 34.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.7395340090190177) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.6343883938910957) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.7395340090190177) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.6343883938910957) q[3];
cx q[1], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], ... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IIZIIZIIIII",
"IIZIIIZIIII",
"IIZIZIIIIII",
"ZIIIIZIIIII",
"ZIIIIIZIIII",
"ZIIIZIIIIII",
"ZIZIIIIIIII",
"IIIZIZIIIII",
"IIIZIIZIIII",
"IIIZZIIII... | [
-2.5,
-2,
-2.5,
-2,
-2.5,
1,
-2.5,
-3.5,
-3.5,
-2.5,
-2.5,
1.5,
-3,
1.5,
-3.5,
-3,
1,
0.5,
-3,
0.5,
-2.5,
0.5,
0.5,
-3,
0.5,
0.5,
1,
-2,
1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.549546 | [
-0.7395340090190177,
-0.6343883938910957,
-0.2509518888991393,
-0.5567854976128325,
-0.35245021811574645,
-0.5197143493949666,
-0.11961452698886782,
-1.0209416626831194
] | {
"n_parameters": 8,
"n_qubits": 11,
"optimal_eigenvalue": -40.5,
"target_ratio": 0.97,
"target_value": -39.285
} | 195 |
4549735765706546182 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3, 4], [0, 1, 2, 4, 5], [1, 4, 7], [0, 3, 4, 5, 6, 7], [1, 2, 5, 6], [1, 2, 6, 7], [1, 3]]} | {"states": [186, 234], "expectation_value": -1.89782380272581, "params": null, "bitstrings": ["01000101", "00010101"], "total_optimization_steps": 46, "probabilities": [0.06642553632508703, 0.888621397270488], "optimization_time": 77.24607467651367} | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.19999999999999998 * (Z(4) @ Z(3)) + 0.21666666666666667 * (Z(4) @ Z(2)) + 0.03333333333333333 * (Z(0) @ Z(3)) + 0.05 * (Z(0) @ Z(2)) + 0.08333333333333334 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.21666666666666667 * (Z(1) @ Z(2)) + 0.21666666666666667 * (Z(1) @ Z(4)) + 0.05 * (Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.9666666666666672], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7333333333333336, "smallest_bitstrings": ["00010101"], "largest_eigenvalue": 6.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
ry(1.662775938354358) q[2];
h q[3];
ry(-0.40654570191690176) q[3];
cx q[1], q[3];
ry(0.40654570191690176) q[3];
cx q[1], q[3];
ry(1.1570493358397715) q[1];
cx q[2], q[1];
ry(-0.19996398885549502) q[1];
cx q[2], q[1];
ry(-0.7632499077145186) q[3];... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4576) 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[... | [
"IIIIZZII",
"IIIZZIII",
"IIIZIZII",
"IIIIZIIZ",
"IIIIIZIZ",
"IIIZIIIZ",
"IIIIZIZI",
"IIIIIZZI",
"IIIZIIZI",
"IIIIIIZZ",
"IIZIZIII",
"IIZIIZII",
"IIZZIIII",
"IIZIIIIZ",
"IIZIIIZI",
"ZIIIZIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIIIIIIZ",
"ZIIIIIZI",
"ZIZIIIII",
"IZIIZIII",
"IZIIIZI... | [
0.16666666666666666,
0.19999999999999998,
0.21666666666666667,
0.03333333333333333,
0.05,
0.08333333333333334,
0.5,
0.21666666666666667,
0.21666666666666667,
0.05,
0.03333333333333333,
0.13333333333333333,
0.08333333333333334,
0.08333333333333334,
0.13333333333333333,
0.033333333333333... | 0.970716 | [
1.662775938354358,
1.09138562588682,
-0.8130914038338035,
0.9570853469842766,
-0.6822689151620621,
0.39992797771099003,
-0.16196198510491303,
0.2380618519736381,
-0.39199863244175115,
0.03611194981921861,
-0.4674335255923,
0.27896875351128747,
-0.338832870068884,
0.6072046132417765,
-0.2... | {
"n_parameters": 41,
"n_qubits": 8,
"optimal_eigenvalue": -1.9666666666666672,
"target_ratio": 0.97,
"target_value": -1.907666666666667
} | 10 |
6632099811496938244 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 3], [0, 2], [0, 4], [0, 1], [2, 4]]} | {"states": [11, 20], "expectation_value": -0.06020640176975853, "params": [[0.0746], [-0.0829]], "bitstrings": ["10100", "01011"], "total_optimization_steps": 10, "probabilities": [0.033558701597877806, 0.033558701597877806], "optimization_time": 1.0734453201293945} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(1) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -0.5, "smallest_bitstrings": ["10000", "10001", "10100", "01111", "01110", "01011"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.6686571673948385) q[0];
cx q[3], q[0];
cx q[0], q[2];
rz(0.6686571673948385) q[2];
cx q[0], q[2];
rz(1.8235326137983066e-08) q[3];
rx(-0.6888034531496897) q[3];
h q[4];
cx q[0], q[4];
rz(0.6686571673948385) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[2], q[4];
rz(x0) q[4];
cx ... | null | {"circuits": [], "gradients": []} | [
"IZIIZ",
"IIZIZ",
"ZIIIZ",
"ZIZII",
"IIIZZ",
"IZIII",
"IIIIZ",
"IIZII",
"ZIIII",
"IIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.601516 | [
0.6686571673948385,
1.8235326069356357e-8,
-0.6888034531496897
] | {
"n_parameters": 3,
"n_qubits": 5,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 105 |
4e25283e9474f6784f895048b0f76821 | 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": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 5, "target":... | {"states": [480, 483], "expectation_value": -8.175616610891163, "params": [0.2592, -0.0038, 1.6417000000000002, -0.0035, 1.2046000000000001, -0.0037, 1.6338000000000001, 0.0053, -0.0024000000000000002, 0.002, -0.0028, 0.0002, -0.0025, 0.9574, 0.20900000000000002, -0.0034000000000000002, 1.6401000000000001, 0.0094, 2.86... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 1.5 * Z(5) + -1.5 * Z(4) + -1.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) | 4 | 9 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["000011100"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.09941242281479518) q[0];
rz(1.4120041651961488) q[0];
rx(1.4286999076061657) q[1];
rz(1.8528053410806313) q[1];
rx(1.4802804528324323) q[2];
rz(1.6888909659378797) q[2];
rx(2.861475082999946) q[3];
rz(1.78744607668321) q[3];
rx(-0.035088910473322826) q[4];
rz(1.802... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIZZIIII",
"IIZZIIIII",
"IIZIZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-1,
-1,
-2,
-2,
1,
-1,
0.5,
0.5,
0.5,
0.5,
1.5,
-1.5,
-1.5,
0.5,
0.5
] | 0.979411 | [
0.09941242281479518,
-0.15879216159874754,
1.428699907606166,
0.28200901428573477,
1.480280452832432,
0.11809463914298299,
2.861475082999946,
0.2166497498883136,
-0.035088910473322826,
0.23163428489808036,
0.03234862624786709,
0.14271488603506838,
-0.20441752856421946,
0.9737783591626613,
... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 12 |
800f779aab5ac71650acd9af8d6964c8 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [69, 7], "expectation_value": -22.864627285265637, "params": null, "bitstrings": ["10111010", "11111000"], "total_optimization_steps": 87, "probabilities": [0.1081261806680195, 0.6151537257450127], "optimization_time": 174.19259524345398} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 7 | 8 | 2 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.43263153788651865) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.33347793652408547) q[1];
h q[2];
ry(-0.33347793652408547) q[2];
ry(-0.18921776981409477) q[3];
rz(-pi) q[3];
ry(-0.9937012523290137) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[2];
ry(0.33347793652408547) q[2];
cx q[... | null | {"k": 5} | {"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(-0.7752) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
2.75,
3,
3,
2.75,
-7,
-7,
-7,
-7.25,
-7.25,
-6.5,
-6.5,
-6.5
] | 0.974682 | [
-1.2455998084576945,
-0.37817131988348546,
-0.795027545328284,
-0.3978475091647948,
-0.27195749704621475,
-0.6669558730481709,
1.361511014481087,
1.3396044443315112,
-0.686274487160188,
1.0423394202220775,
-0.35908583330767535,
-0.2925604938850007,
-0.6062823621828345,
-0.4677930098758491,... | {
"n_parameters": 57,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 23 |
4100956486e3cd626bf6b734439a9442 | 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": 4}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 4, "source": 2, ... | {"states": [1, 33], "expectation_value": -11.997617744466629, "params": [[[0.0046, 1.1154], [-0.0036000000000000003, 1.1691], [0.6002000000000001, 0.9586], [0.0012000000000000001, 0.9178000000000001], [-0.0026000000000000003, 1.5122], [-0.0034000000000000002, 1.415], [0.0015, 1.5807], [-1.0221, 0.0453]], [[-0.0054, 1.7... | -1.0 * (Z(0) @ Z(4)) + -1.0 * (Z(5) @ Z(4)) + -1.25 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(5)) + -1.25 * (Z(7) @ Z(4)) + 2.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(7)) + -0.75 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -1.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.5, "smallest_bitstrings": ["11010110", "11011110"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-0.36507215311141916) q[0];
ry(0.1606680727892612) q[0];
rz(-3.1120225183555164) q[0];
rz(-1.6974293651824617) q[1];
ry(0.12226078549667259) q[1];
rz(-1.765542409788857) q[1];
rz(1.4012838825746217) q[2];
ry(2.7094293037524295) q[2];
rz(0.4384078166226839) q[2];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIZZIIII",
"IIZIIIIZ",
"IIZIIIZI",
"ZIIZIIII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIZIZII",
"ZIIIIZII",
"IZZIIIII",
"IZIIIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIZIII"
] | [
-1,
-1,
-1.25,
-0.75,
-1.25,
2.5,
-0.25,
-1,
-1,
-0.75,
-1.5,
-0.5,
-1.75,
-1,
0.25,
-0.25,
-0.5,
-0.5,
0,
3,
-1.25,
-0.75
] | 0.97352 | [
0.1134832255971797,
1.1174981403632047,
0.09639840408591,
0.9532138935218629,
1.0658192895910572,
0.7517790201206351,
-0.12008148993226303,
0.9898750488260064,
-0.12636517154354449,
1.3801412492016694,
0.010841736970453125,
1.3004956258393354,
-0.046647450318931034,
1.7660312049563776,
-... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 7 |
7f8130041c7238405b90f5906c17ffea | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [492, 364], "expectation_value": -71.9441786785197, "params": [2.4987, 0.003, 1.5687, 0.0059, 2.5010000000000003, 0.0085, 2.5065, 0.01, -0.0018000000000000002, 0.0041, 2.4930000000000003, 0.008400000000000001, 2.4927, 0.0035, 1.4438, 0.009600000000000001, 0.0019, 0.006900000000000001, 0.0004, 0.0051, 0.00550... | 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(3) @ Z(0)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(6) @ Z(1)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(5) @ Z(0)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(5) @ Z(7)) + 7.0 * (Z(8) @ Z(2)) + 9.0 * Z(1) + 15.5 * Z(2) + 23.5 * Z(0) + 16.0 * Z(3) + -... | 18 | 9 | 1 | {"smallest_eigenvalues": [-100.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.5, "smallest_bitstrings": ["010010011"], "largest_eigenvalue": 179.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.9922666581447284) q[0];
rz(0.6100998541150711) q[0];
rx(0.4298997756430157) q[1];
rz(-0.18385348707876098) q[1];
rx(3.3377575054041917) q[2];
rz(-0.22196304005642312) q[2];
rx(2.862228211781246) q[3];
rz(-0.33549031439686683) q[3];
rx(-0.006688580356040391) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZZIII",
"IIZIIIIZI",
"IZZIIIIII",
"IIIZIIIIZ",
"IIIZIZIII",
"IIZZIIIII",
"IZIZIIIII",
"ZIIIIIZII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIZIIIII",
"ZIIIIIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
9,
15.5,
23.5,
16,
-4,
12.5,
5,
23.5,
-5.5
] | 0.97521 | [
2.9922666581447284,
0.39963750998287634,
0.4298997756430157,
-0.18385348707876098,
3.3377575054041917,
-0.22196304005642312,
2.862228211781246,
-0.33549031439686683,
-0.006688580356040391,
0.19355694464534406,
3.1211751629448363,
-0.49466723569742777,
3.3234628311216974,
-0.045014947069911... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -100.5,
"target_ratio": 0.97,
"target_value": -97.485
} | 19 |
-2136234981179467318 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2, 5], [0, 3, 5, 6], [0, 1, 5, 6], [1, 2, 3, 4, 5]]} | {"states": [87, 121], "expectation_value": -0.4161683949881, "params": [[-0.34990000000000004], [0.3612]], "bitstrings": ["0101000", "0000110"], "total_optimization_steps": 40, "probabilities": [0.012575908487651052, 0.012643137272156314], "optimization_time": 2.7496421337127686} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.13333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.21666666666666667 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(2)) + 0.05 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.05 * (Z(3) @ Z(2)) + 0.13333333333333333 * (... | 1 | 7 | 1 | {"smallest_eigenvalues": [-0.9500000000000001, -0.9500000000000001, -0.9500000000000001], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.9499999999999998, "smallest_bitstrings": ["0010101", "0000110", "0000010"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.002867215565518978) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.0898557734975952) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.044548055919786174) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(-0.00184925162668539... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIZIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZZIIIII",
"ZIIZIII",
"IIZIIZI",
"IIZIZII",
"IZZIIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIIZIII",
"ZIIIIII",
"IIZ... | [
0.16666666666666666,
0.13333333333333333,
0.08333333333333333,
0.21666666666666667,
0.25,
0.13333333333333333,
0.05,
0.08333333333333333,
0.05,
0.13333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.05,
0.05,
0.05,
0.05,
0.35000... | 0.970971 | [
-0.002867215565518978,
-0.0898557734975952,
-0.044548055919786174,
-0.0018492516266853942,
-0.7508706771041682,
-0.01639681240552938,
-1.780586702423995,
-1.8269067541859725,
-1.643261587351674,
1.5011765938372126,
-1.4430134241209993,
0.0589282526661382,
1.608122097338606
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -0.9500000000000001,
"target_ratio": 0.97,
"target_value": -0.9215
} | 64 |
ad249eb291b54b77d27166680b0a8ce6 | 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": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [750, 742], "expectation_value": -2.085412351102948, "params": [0.39680000000000004, 0.0002, 0.403, 0.0002, 0.0018000000000000002, 0.2928, 0.0041, 0.30920000000000003, 0.4062, 0.0022, 0.39930000000000004, 0.0068000000000000005, 0.3799, -0.0039000000000000003, 0.38530000000000003, -0.0034000000000000002, 0.39... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 7 | 10 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.5, "smallest_bitstrings": ["0100101001", "0100011010", "0100011001", "0100010110", "0110010100", "0111000001", "0100111000", "0101000011", "0101001001", "11... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.20946886265742445) q[0];
rz(-0.06362351457019821) q[0];
rx(-0.018241174950755897) q[1];
rz(0.704685202659187) q[1];
cx q[1], q[0];
rz(0.2292168962369887) q[0];
cx q[1], q[0];
rz(1.7132002221642741) q[0];
ry(1.3070610940504863) q[0];
rz(-1.6223015488018377) q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIIZZIIZ",
"IIIIZIZIIZ",
"IIIIZZIIIZ",
"IIIIZZZIII",
"IIIIZZZIIZ",
"IIIZIIZIII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIZZIIZIII",
"IIIZIIIZII"... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
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,
0.5,
0.12... | 0.974163 | [
0.20946886265742448,
0.16559338166679047,
-0.018241174950755897,
0.704685202659187,
0.5650277722630422,
-0.24033384943000619,
0.6276576804163854,
0.1723064691794214,
0.40103640539568186,
0.13028888005053452,
-0.09290330105860661,
0.22641693237719282,
-0.07040893050340088,
0.239283487126834... | {
"n_parameters": 133,
"n_qubits": 10,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 19 |
dc8ac5f82febba9dcace181eb5c76eb3 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": ... | {"states": [7, 13], "expectation_value": -1.421549584290907, "params": [[0.0512, 0.0182], [-0.0427, -0.025]], "bitstrings": ["111000", "110010"], "total_optimization_steps": 10, "probabilities": [0.019167437234105755, 0.019167437234105765], "optimization_time": 3.1421546936035156} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 18 | 6 | 2 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.009159858931667007) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.009159858931667007) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.009159858931667007) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.009159858931667007) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
1.75,
1.75,
1.75,
1.75,
1.75,
2,
2,
1.75,
2,
2,
2,
2,
2,
2,
1.75,
-0.75,
-1,
-0.5,
-0.5,
-0.5,
-0.25
] | 0.813356 | [
0.009159858931667007,
0.12494940013551502,
-0.9996743752342083,
-1.0785898614158156,
0.2672658208067165,
1.0891742212764537,
-1.2802161128055969,
0.024697662159371404,
0.6853541264808383,
-0.33614577142982505,
-0.6001841465958335,
0.46393008337570263,
0.1161236905431224,
-0.536284086667138... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 415 |
9645644fcb46d75a104e4de81b9201a7 | 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": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [3, 1], "expectation_value": -0.4313289595228619, "params": [[0.0777, 0.0751], [-0.08560000000000001, -0.0809]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.012054201577599894, 0.012656091453067685], "optimization_time": 2.074453830718994} | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(6) + 1.0 * Z(3) + -0.75 * Z(1) + -0.75 * Z(4) + 0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.25, "smallest_bitstrings": ["1111110", "1111100", "1010100"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.5968952478819238) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-0.06171327633547268) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.415918497861762) q[1];
cx q[3], q[1];
h q[4];
cx q[2], q[4];
rz(-0.06171327633547268) 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] 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 ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"ZIIIIIZ",
"IIIZZII",
"IIIZIZI",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII"
] | [
-0.25,
0.5,
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
0.5,
1,
-0.75,
-0.75,
0.5
] | 0.926178 | [
-0.5968952478819238,
0.4526712559046789,
-0.06171327633547268,
-0.415918497861762,
-0.6502010492922798,
-1.6181973367743598,
-0.8278971628393553,
0.9201213440736843,
-0.14848852993025277,
-1.0885472675907426,
-0.6577968816211469,
-1.0712293365854164
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 324 |
2a895515d0a8eaf1b57b7d486fef5b85 | kclique | vqe | {"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": [35, 3], "expectation_value": -26.09477790883075, "params": [[[-0.0151, -0.3539], [0.4667, -0.09580000000000001], [-0.013900000000000001, -0.3539], [-0.015700000000000002, 0.3539], [-0.0159, 0.3538], [0.6955, 0.0012000000000000001], [0.7015, 0.0019]], [[-0.013300000000000001, -0.3538], [0.46540000000000004, ... | 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)) + 2... | 1 | 7 | 3 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-2.096327820170651) q[0];
ry(0.2537083493680447) q[0];
rz(1.570436671091425) q[0];
rz(1.191244473143085) q[1];
ry(0.2008107508654874) q[1];
rz(-1.6963430441543206) q[1];
rz(-1.9118469528459408) q[2];
ry(0.1477573005102168) q[2];
rz(1.5833415908168567) q[2];
rz(2.2786... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"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,
2.75,
3,
2.75,
2.75,
3,
3,
3,
-10,
-10.25,
-10.25,
-10.25,
-10.25,
-9.5,
-9.5
] | 0.972257 | [
-0.08028563510993815,
-0.21555986132396174,
0.078732077463361,
-0.21601939328285985,
-0.010214764130119527,
-0.03172665130023722,
0.30548255601708946,
0.07708210515096893,
0.3715827281252511,
0.6916802821102456,
0.19367370790422986,
0.9804975452195692,
-0.10497639850611308,
0.0456723136684... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 8 |
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