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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
6d1a9a1cda08ec4eaf9d390307f681d3 | 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": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "s... | {"states": [256, 255], "expectation_value": -0.4466388848126095, "params": [[-0.07690000000000001], [0.0699]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0026644748138297397, 0.002721367128072834], "optimization_time": 2.824674129486084} | -0.5 * (Z(0) @ Z(6)) + -1.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(7)) + -0.5 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(1)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(5) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-8.75, -8.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.75, "smallest_bitstrings": ["100000000", "100000110"], "largest_eigenvalue": 12.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.07074011565942544) q[0];
ry(-0.034241740674030983) q[1];
ry(-0.02310418963090609) q[2];
ry(0.005094891914534702) q[3];
ry(-0.09267291565237382) q[4];
ry(-0.017933789297370564) q[5];
ry(-0.017844733894503077) q[6];
ry(-1.4761617350858658) q[7];
ry(-0.196414718262419... | OPENQASM 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[9] c;
qubit[9] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIZIIIIIZ",
"IZZIIIIII",
"IZIIIIIIZ",
"IIIIIZIZI",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIIIIZIII",
"ZIIIIIIZI",
"IIZIIIZII",
"IZIIIIZII",
"IIIIIZZII",
"IIIIIIZZI",
"IIIIZIZII",
"IIZZIIIII",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIZZIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIZIII",
"... | [
-0.5,
-1.25,
-0.25,
-0.25,
1,
-0.5,
-0.5,
-0.75,
-0.25,
-0.25,
-0.25,
-0.75,
-0.5,
-0.75,
-0.25,
-0.25,
-1.5,
-1.25,
-0.25,
0.25,
0.5,
0,
-1,
1,
-0.5,
1.25
] | 0.970829 | [
0.07074011565942544,
-0.034241740674030983,
-0.02310418963090609,
0.005094891914534702,
-0.09267291565237382,
-0.017933789297370564,
-0.017844733894503077,
-1.4761617350858658,
-0.19641471826241974,
-0.01619831545614741,
-0.027941870608550645,
0.021450166630002546,
0.010960213137639908,
0.... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 52 |
b80d831cd9b07b1f2aaf1d64249cf046 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [42, 106], "expectation_value": -1.8506031513144015, "params": [[[0.4005, 0.027600000000000003], [0.4047, 0.024], [0.39690000000000003, 0.017], [0.0405, 0.0292], [0.4021, 0.31970000000000004], [0.254, 0.38020000000000004], [0.1429, 0.25880000000000003], [0.14170000000000002, 0.25680000000000003]], [[0.0286, ... | 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(4) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(4) @ Z(3)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 15 | 8 | 4 | {"smallest_eigenvalues": [-3.8125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8125, "smallest_bitstrings": ["10010101"], "largest_eigenvalue": 6.1875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.057187703765313375) q[0];
rz(0.7690216135978227) q[0];
rx(1.209906049124608) q[1];
rz(-0.07290860364248924) q[1];
cx q[1], q[0];
rz(-0.028593851882656687) q[0];
cx q[1], q[0];
rx(0.05718770376531337) q[0];
rz(-0.6005090386584673) q[0];
rz(0.11078862637344898) q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIZIIZI",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIZIIZZ",
"IIIIZZIZ",
"IIIZIZIZ",
"IIIZZIIZ",
"IIIIZZZI",
"IIIZIZZI",
"IIIZZIZI",
"IIIZZZII",
"IIIIZZZZ",
"IIIZIZZZ",
"IIIZZIZ... | [
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,
0.5,
... | 0.97207 | [
0.057187703765313375,
0.7404277617151661,
1.209906049124608,
-0.07290860364248924,
1.2903415687138335,
-0.07675919091913075,
0.10497633905354888,
-0.06733609960099873,
1.3402996070483726,
-0.03416843960718164,
0.03206647432155457,
0.5921790357738657,
1.793709390858471,
0.1755954028706419,
... | {
"n_parameters": 42,
"n_qubits": 8,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 21 |
cb3f4c0868bc7755a58fdaccb740c7a2 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "... | {"states": [0, 127], "expectation_value": -6.520987938241512, "params": [[-0.0685], [0.0772]], "bitstrings": ["111111111111", "111110000000"], "total_optimization_steps": 10, "probabilities": [0.0008684865392671489, 0.0009098356432159637], "optimization_time": 3.84382700920105} | -2.5 * (Z(0) @ Z(2)) + -3.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(0)) + -3.0 * (Z(4) @ Z(2)) + -3.0 * (Z(4) @ Z(0)) + 1.5 * (Z(4) @ Z(3)) + -3.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(3)) + -2.5 * (Z(1) @ Z(4)) + -3.5 * (Z(5) @ Z(6)) + -3.5 * (Z(7) @ Z(6)) + -3.5 * (Z(7) @ Z(5)) + -3.0 * (Z(8) @ Z(6)) + -... | 1 | 12 | 1 | {"smallest_eigenvalues": [-55.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -48.5, "smallest_bitstrings": ["111110000000"], "largest_eigenvalue": 51.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.6517189587561368) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.5641697219239769) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.6517189587561368) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.5641697219239769) q[4];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZ",
"IIIIIIIIZZII",
"IIIIIIIIZIIZ",
"IIIIIIIZIZII",
"IIIIIIIZIIIZ",
"IIIIIIIZZIII",
"IIIIIIIIIZZI",
"IIIIIIIIIIZZ",
"IIIIIIIIZIZI",
"IIIIIIIZIIZI",
"IIIIIZZIIIII",
"IIIIZZIIIIII",
"IIIIZIZIIIII",
"IIIZIZIIIIII",
"IIIZIIZIIIII",
"IIIZZIIIIIII",
"ZIIIIZIIIIII",
"ZIIIIIZII... | [
-2.5,
-3,
-2.5,
-3,
-3,
1.5,
-3,
1,
1,
-2.5,
-3.5,
-3.5,
-3.5,
-3,
-3,
1.5,
1.5,
-3,
-3,
1,
-3,
1,
-3,
0.5,
0.5,
-3.5,
2,
-3.5,
-3,
-3,
1,
2,
1.5,
-2.5,
-2.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.555407 | [
0.6517189587561368,
0.5641697219239769,
0.32565794544767684,
0.2860462679178615,
0.571798947987942,
0.0709293760296834,
0.43050649810038205,
0.8600424115968537,
1.0733448360836082
] | {
"n_parameters": 9,
"n_qubits": 12,
"optimal_eigenvalue": -55.5,
"target_ratio": 0.97,
"target_value": -53.835
} | 239 |
2645505044049809267 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 4], [2, 3], [0, 3], [2, 5]]} | {"states": [56, 42], "expectation_value": -1.7303110248786107, "params": null, "bitstrings": ["000111", "010101"], "total_optimization_steps": 38, "probabilities": [0.051067933398191954, 0.734140149166207], "optimization_time": 24.706740856170654} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0, "smallest_bitstrings": ["111000", "101010", "000111", "010101"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.13432528118945736) q[1];
h q[2];
h q[3];
ry(-0.13432528118945736) q[3];
cx q[2], q[3];
ry(0.13432528118945736) q[3];
cx q[2], q[3];
ry(-0.0960315850656513) q[3];
cx q[0], q[3];
ry(0.0960315850656513) q[3];
cx q[0], q[3];
ry(0.73366785422652) q[0];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IZIIZI",
"IIZZII",
"IIZIIZ",
"ZIIZII",
"IZIIII",
"IIIIZI",
"IIZIII",
"IIIZII",
"IIIIIZ",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.976452 | [
-0.2686505623789147,
1.3693005060134478,
-0.1920631701313026,
1.46733570845304,
1.5022085793298199,
-1.3133268837738652,
0.0916533804956387,
-0.9446679021914588,
-0.6539070944851556,
0.19733212382315723,
-0.10455941497032131,
0.557510347365424,
-0.10416083447807789,
-0.17483211493831083,
... | {
"n_parameters": 32,
"n_qubits": 6,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 36 |
984069cd50d39f7e5d4b40fb03f5527d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 2}, {"weight": 20, "source": 1, "target": 4}, {"weight": 16, "source": 1, "target": 5}, ... | {"states": [246, 118], "expectation_value": -16.451321873004215, "params": [[0.038400000000000004, -0.0164, -0.0335, -0.047400000000000005], [-0.0577, -0.0199, 0.0206, 0.0555]], "bitstrings": ["00001001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.011116738719861042, 0.013966050821277706], "optimi... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 9.0 * Z(0) + 14.0 * Z(2) + 16.0 * Z(3) + 4... | 1 | 8 | 4 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 128.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.013838034989187923) q[0];
cx q[5], q[0];
h q[6];
cx q[5], q[6];
rz(-0.013838034989187923) q[6];
cx q[5], q[6];
cx q[0], q[6];
cx q[5], q[4];
rz(-0.013838034989187923) q[4];
cx q[5], q[4];
rz(-1.5521706... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIIZI",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
9,
14,
16,
4.5,
6.5,
10,
7
] | 0.975354 | [
-0.013838034989187923,
-1.5521706068876595,
1.493710746939856,
1.1584724105134467,
-1.7018112302469781
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 25 |
74f1544741d8dc33405b84be7c29f907 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 2, "target": 8}, {"sour... | {"states": [63, 127], "expectation_value": -12.687286242801182, "params": null, "bitstrings": ["11000000", "10000000"], "total_optimization_steps": 100, "probabilities": [0.14481866689969203, 0.3095008546083234], "optimization_time": 234.35307216644287} | -3.0 * (Z(1) @ Z(2)) + -3.0 * (Z(3) @ Z(2)) + -3.0 * (Z(3) @ Z(1)) + -3.0 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + -3.0 * (Z(7) @ Z(1)) + -3.0 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(5)) + -3.0 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(1)) + -3.0 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(5)) + 1.0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-1.6818512755030193) q[0];
rz(-0.05011761782179678) q[0];
rx(0.024531794576474017) q[1];
rz(0.10217450804191504) q[1];
rx(0.024531794576474017) q[2];
rz(0.22780403382131073) q[2];
rx(-0.0019298072596211778) q[3];
rz(-0.016452723778590042) q[3];
rx(-0.0019298072596211... | null | {"node": 0} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5708) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... | [
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIZIIZII",
"IIZIIIZI",
"IIZIZIII",
"ZIIIIZII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"IZIIIZII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZZIIIIII",
"IIIZIZII",
"IIIZIIZI",
"IIIZZIII",
"IIZZIIII",
"ZIIZIIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIZ... | [
-3,
-3,
-3,
-3,
-3,
1,
1,
-3,
-3,
1,
-3,
1,
-3,
1,
1,
1,
1,
1,
-3,
-3,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.984107 | [
-1.6818512755030193,
-0.05011761782179678,
0.024531794576474017,
0.10217450804191504,
0.22780403382131073,
-0.0019298072596211778,
-0.016452723778590042,
-0.02934461518037318,
-0.08056059532403484,
0.08696642690571697,
3.083024103090386
] | {
"n_parameters": 11,
"n_qubits": 8,
"optimal_eigenvalue": -31,
"target_ratio": 0.97,
"target_value": -30.07
} | 1 |
e2e158f2cf7d16562fe0667a95b89216 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 20, "source": 0, "target": 4}, {"weight": 11, "source": 1, "tar... | {"states": [459, 234], "expectation_value": -29.983018359963804, "params": [[0.0267, -0.0091, -0.0013000000000000002, -0.006500000000000001], [-0.0843, -0.052700000000000004, -0.0502, -0.0374]], "bitstrings": ["000110100", "100010101"], "total_optimization_steps": 10, "probabilities": [0.005975885522343035, 0.008097722... | 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(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-92.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 179.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0646223712131074) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0646223712131074) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0646223712131074) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.0646223712131074) q[3];
cx q[0], q[3];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZZIIII",
"IZIIIIZII",
"IZIIIZIII",
"IZIZIIIII",
"IIZIIIZII",
"IIZZIIIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZZIIIIIII",
"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,
14.5,
7.5,
23.5,
10,
1,
21,
22,
6,
2
] | 0.976965 | [
0.0646223712131074,
-1.3221292206741764,
0.5803255913039884,
-1.1623415522289597,
-1.4335702797900156,
0.6399028361397165,
-1.9620343555777144,
-1.516386137216148,
0.9856581263537598,
1.278561098999369,
0.674786975558751,
-0.09280645834666516,
-0.393514203144838,
0.9223262524356773,
-0.8... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -92.5,
"target_ratio": 0.97,
"target_value": -89.725
} | 54 |
-3907779894903928141 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 6, 7], [1, 2, 5, 7], [0, 1, 2, 7], [1, 4, 5, 7], [0, 4, 7], [0, 1, 5, 7], [1, 2, 5, 6], [0, 3], [3, 5, 6], [2, 3, 4], [1, 3, 5], [1, 2, 3]]} | {"states": [61, 238], "expectation_value": -1.4123213922425397, "params": [[0.2629], [-0.2661]], "bitstrings": ["11000010", "00010001"], "total_optimization_steps": 30, "probabilities": [0.010344095701451663, 0.010369551822331607], "optimization_time": 1.6203296184539795} | 0.3333333333333333 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(6)) + 0.3333333333333333 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(7)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.3333333333333333 * (Z(2) @ Z(3)) + 0.16666666666666666 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.166666666666666, "smallest_bitstrings": ["00010001"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.2586570204217706) q[0];
rz(0.13819320527363432) q[0];
rx(1.7582869725360635) q[1];
rz(0.06575207041543774) q[1];
rx(2.0408962414424554) q[2];
rz(-0.06064798019386153) q[2];
rx(0.08134602633402678) q[3];
rz(0.644081782263537) q[3];
rx(2.039574927407256) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IZIIZIII",
"ZZIIIIII",
"ZIIIZIII",
"IZIIIIZI",
"IIIIZIZI",
"ZIIIIIZI",
"IZIIIZII",
"IIIIZZII",
"ZIIIIZII",
"IIIIIZZI",
"IZZIIIII",
"IIZIZIII",
"ZIZIIIII",
"IIZIIIZI",
"IIZIIZII",
"IIIIZIIZ",
"ZIIIIIIZ",
"IIIIIIZZ",
"IIIIIZIZ",
"IIZIIIIZ",
"IIIZZIII",
"ZIIZIIII",
"IIIZIIZ... | [
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.3333333333333333,
0.3333333333333333,
0.08333333333333333,
0.3333333333333333,
0.16666666666666666,
0.41666666666666663,
0.25,
0.3333333333333333,
0.25,
0.5,
0.16666666666666666,
0.5,
0.3333333333333... | 0.97276 | [
1.2586570204217704,
0.1511825905896998,
1.7582869725360635,
0.07988429958549996,
2.0408962414424554,
-0.0861066795233699,
0.08134602633402677,
0.7293179132283413,
2.039574927407256,
0.3238543877522477,
1.1637688289380737,
-0.13177638654227808,
1.840947893722037,
0.12369238708293805,
0.34... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -3.166666666666667,
"target_ratio": 0.97,
"target_value": -3.0716666666666668
} | 21 |
d78f7556e7639886d17f02ad3944a31a | 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": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": 4, "target":... | {"states": [0, 451], "expectation_value": -17.02129181666809, "params": [-0.35150000000000003, 0.197, -0.36050000000000004, 0.4199, -0.3093, 0.2928, -0.33940000000000003, 0.32630000000000003, -0.3435, 0.20220000000000002, -0.36100000000000004, 0.5491, -0.0339, 0.5032, -0.07100000000000001, 0.4758, -0.0002, 0.6071000000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(6)) + -2.5 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(6)) + 1.0 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z(6) + -2.0 * Z(3) + -2.0 * Z(4) + -2.0 * Z(5) +... | 6 | 9 | 4 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["000111100"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.05874846667619159) q[0];
rz(1.9938695320304731) q[0];
rx(0.29855314565580754) q[1];
rz(-2.706525495615969) q[1];
rx(0.8586485872377975) q[2];
rz(2.2057165673183015) q[2];
rx(-0.007408008823412165) q[3];
rz(2.6264064151643502) q[3];
rx(-0.16417141447225342) 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... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIZIIZIII",
"IIZIZIIII",
"IIIIZZIII",
"IIZZIIIII",
"IIIZIZIII",
"IIIZZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIZIIIIII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-1.5,
-1.5,
0.5,
-2.5,
-2.5,
1,
-2.5,
1,
1,
-1,
0.5,
0.5,
0.5,
-2,
-2,
-2,
-2,
0.5,
0.5
] | 0.970667 | [
0.05874846667619159,
0.4230732052355772,
0.2985531456558076,
2.005863484768721,
0.8586485872377975,
0.6349202405234045,
-0.0074080088234121655,
1.0556100883694532,
-0.1641714144722534,
0.40538719110291965,
0.40044468149668,
0.7834637422395953,
-0.27756347602056,
0.5299736123246076,
0.367... | {
"n_parameters": 88,
"n_qubits": 9,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 186 |
b479847f05cc20709fc3e89f53936753 | 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": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3},... | {"states": [2047, 2016], "expectation_value": -1.2505290770481572, "params": [[0.047400000000000005], [-0.0551]], "bitstrings": ["00000000000", "00000011111"], "total_optimization_steps": 10, "probabilities": [0.0007297347642730365, 0.0007314932550668116], "optimization_time": 34.27575945854187} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(5)) + -3.0 * (Z(6) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + -3.0 * (Z(8) @ Z(6)) + 0.5 * (Z(10) @ Z(7)) + -2.5 * (Z(10) @ Z(6)) + -2.0 * (Z(10) @ Z(8)) + -2.5 * (Z(9) @ Z(7)) +... | 1 | 11 | 1 | {"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["00000011111"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.0370762081421891) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.8048052392267006) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(-0.18916688675902776) q[2];
cx q[1], q[2];
rz(-0.18916688675902815) q[1];
rx(-0.9898... | 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": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIZZIIII",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"ZIIZIIIIIII",
"ZIIIZIIIIII",
"ZIZIIIIIIII",
"IZIZIIIIIII",
"IZIIZIIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIII... | [
-1.5,
-2,
-2,
0.5,
0.5,
-2,
-1,
-3,
1,
-3,
0.5,
-2.5,
-2,
-2.5,
1,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-2,
1,
1,
1
] | 0.597027 | [
-1.0370762081421891,
-0.8048052392267006,
-0.18916688675902776,
-1.7434846051990034,
-0.49751966242042456,
-0.24513101161833928,
-0.6220850647171625,
-0.9898462147325825
] | {
"n_parameters": 8,
"n_qubits": 11,
"optimal_eigenvalue": -23.5,
"target_ratio": 0.97,
"target_value": -22.794999999999998
} | 201 |
ac1f174c7c8aefd4d3fe63daa83b99d5 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, {"source": 4, "target":... | {"states": [455, 511], "expectation_value": -0.7444815737447742, "params": [[0.07100000000000001], [-0.0772]], "bitstrings": ["000111000", "000000000"], "total_optimization_steps": 10, "probabilities": [0.0028307463111643854, 0.0028702103596716165], "optimization_time": 1.9769659042358398} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(5) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 1.0 * Z(3) + -1.0 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(8) | 1 | 9 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["000000000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.78394604932781) q[0];
h q[1];
ry(-0.0032434023779111705) q[1];
h q[2];
cx q[2], q[0];
ry(-0.78394604932781) q[0];
cx q[2], q[0];
cx q[0], q[1];
ry(0.0032434023779111705) q[1];
cx q[0], q[1];
ry(2.635476633840907) q[0];
ry(1.7640206425411538) q[2];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x1) q[2... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIZIZIII",
"IIIIZZIII",
"IIIZZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
-1.5,
0.5,
-1.5,
-2,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5
] | 0.934748 | [
0.449206498865341,
1.56789209865562,
1.2315751440251939,
2.0935582032832687,
0.9606136929073632,
-0.006486804755822341,
2.635476633840907,
0.44855704008979325,
1.7249132980744837,
1.6068138992675811,
-0.3051166391100603,
-0.46114860020241605,
2.3983895329462612,
-1.5814129982760357,
1.05... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 500 |
0714803fc241e2360d666ed1e871e287 | 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": 4}, {"source": ... | {"states": [382, 383], "expectation_value": -10.618358573331117, "params": [-0.0018000000000000002, 0.9812000000000001, 0.003, 0.6577000000000001, -0.6261, 0.23970000000000002, -0.34800000000000003, 0.7689, 0.0039000000000000003, 0.5352, -0.0015, 0.8696, -0.5455, 0.9385, 0.22210000000000002, 0.7823, -0.6809000000000001... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(1) + 0.5 * Z(9) | 6 | 10 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1010000000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.14846640452963045) q[0];
rz(3.0061029413784865) q[0];
rx(-0.5708411447250665) q[1];
rz(2.0579878056276186) q[1];
rx(-0.1919544438207895) q[2];
rz(3.0189865220847594) q[2];
rx(-0.6879021959892385) q[3];
rz(2.5669911309546283) q[3];
rx(-0.6795280981274134) 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... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IZZIIIIIII",
"ZIIIIIIIZI",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"IIIIIIIIZI",
"ZIIIIIIIII"
] | [
-1.5,
-1.5,
0.5,
-2,
0.5,
-1.5,
-1,
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.956767 | [
0.14846640452963045,
1.4353066145835893,
-0.5708411447250665,
0.4871914788327228,
-0.19195444382078952,
1.4481901952898621,
-0.6879021959892386,
0.9961948041597318,
-0.6795280981274134,
1.0045006078794925,
-1.2197500639970589,
1.1562495736107823,
-1.1716393087263306,
1.0272924742532643,
... | {
"n_parameters": 148,
"n_qubits": 10,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 500 |
5144181ac27497fdfa9bdb5b8b799630 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}]} | {"states": [427, 363], "expectation_value": -3.4340019121982053, "params": [1.0266, 0.2015, 0.8743000000000001, 0.48900000000000005, 0.9931000000000001, 0.4303, 1.0186, 0.27790000000000004, 0.5436, 0.45640000000000003, 0.9717, 0.31270000000000003, 0.5173, 0.4335, 1.0769, 0.1187, 1.0637, -0.0398, 0.9919, 0.1002000000000... | 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 * ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -3.5, "smallest_bitstrings": ["001010100", "001100010", "001001010", "001001100", "010001100", "010010100", "010010001", "010100001", "100100001", "100001010",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[2] q;
h q[0];
ry(-1.5486225528998339) q[0];
h q[1];
ry(-1.5451929801415893) 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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIZIIIIIZ",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIZIIZIII",
"IZIIZIIII",
"IIIIZZIII",
"ZIIZIIIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"... | [
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,
0.75,
0.75,
0.75,
1,
1,
1,
0.75,
0.75,
0.75
] | 0.999809 | [
-1.5486225528998339,
-1.5451929801415893
] | {
"n_parameters": 2,
"n_qubits": 2,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 1 |
206b6c7126e1a43a7c0a57973e02662d | max_flow | 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": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 6... | {"states": [115, 119], "expectation_value": -5.975016950787599, "params": [-0.0027, -1.1840000000000002, -0.0026000000000000003, 0.0002, 0.0037, 0.8675, -0.0048000000000000004, 0.0059, 1.8204, 0.1105, 1.3314000000000001, 0.0064, 1.7632, 0.1028, 1.3831, 0.0049, 1.8774000000000002, 0.1364, 1.2788000000000002, 0.0047, -0.... | -0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + 0.5 ... | 5 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000100", "101001000", "110001000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7716469204925558) q[0];
h q[1];
ry(-0.419743548754394) q[1];
h q[2];
cx q[2], q[1];
ry(0.419743548754394) q[1];
cx q[2], q[1];
ry(-0.3394805577791961) q[1];
ry(1.0930006028280734) q[2];
h q[3];
ry(1.59285799405076) q[3];
rz(-pi) q[4];
ry(-3.136526372442517... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} | [
"IIIZIIIZI",
"IIIIIIZZI",
"IIIZIIZII",
"IIIIZZIII",
"IIIZIIIIZ",
"IZIZIIIII",
"IZIIIIIIZ",
"ZIIZIIIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIZZIIIII",
"IIZIIIIIZ",
"IZZIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IZIIIIIII",
"... | [
-0.5,
0.5,
-0.5,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
0.5,
1,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
-1,
0.5,
1,
1.5,
0,
1.5,
1.5,
-0.5
] | 0.979066 | [
1.59285799405076,
1.5261005232355722,
-1.5432938409851116,
-1.35113857066744,
0.770395955888187,
-0.4800519968211978,
0.6181638241406239,
-0.17087313757605851,
-0.839487097508788,
0.8636913290500219,
-0.6789611155583922,
0.4586185475561028,
-0.41596033641871777,
-0.0189624931872691,
0.18... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 1 |
66118b4a39d9f94415b36602b745f3db | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1... | {"states": [25, 63], "expectation_value": -3.8327157141949892, "params": null, "bitstrings": ["1100110", "1000000"], "total_optimization_steps": 57, "probabilities": [0.08569643730503933, 0.6101461547912892], "optimization_time": 55.549707651138306} | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * Z(4) + -0.25 * Z(0) + 0.25 * Z(1) + -0.5 * Z(5) + 0.5... | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.12524510593503183) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.2057321989079934) q[1];
cx q[4], q[1];
h q[5];
cx q[4], q[5];
rz(-0.12524510593503183) q[5];
cx q[4], q[5];
cx q[1], q[5];
cx q[4], q[2];
rz(-0.2057... | 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];\ncry(1.5158) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... | [
"IIZIIIZ",
"IIZIIZI",
"IZZIIII",
"IZIIIZI",
"IIZIZII",
"IIIIZZI",
"IZIIZII",
"ZIIIIIZ",
"ZIIIZII",
"IIIZIZI",
"IIIZZII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IZIIIII",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
-0.25,
-0.75,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
0.25,
-0.5,
0.5,
0,
0.5
] | 0.959452 | [
-0.12524510593503183,
-0.2057321989079934,
0.18692089032363474,
0.6210941574237907,
0.4969742707579973,
0.9038872847986754,
-1.528486332966517,
-0.26931922132779773,
-0.442174215049874,
0.3538515939923324,
1.0125796270904612,
0.4397668488203588,
-1.1536132104223544,
-0.5382064669199504,
... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 500 |
1290437111204269575 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 7], [4, 6], [0, 2, 6, 7], [0, 2, 3, 5], [3, 6], [1, 7]]} | {"states": [167, 135], "expectation_value": -2.1442909768469836, "params": null, "bitstrings": ["01011000", "01111000"], "total_optimization_steps": 63, "probabilities": [0.06362305157780425, 0.7615770983177876], "optimization_time": 84.25413918495178} | 0.5 * (Z(4) @ Z(7)) + 0.08333333333333333 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(7)) + 0.08333333333333333 * (Z(0) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(7)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.08333333333333333 * (Z(3... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.416666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4166666666666665, "smallest_bitstrings": ["01111000"], "largest_eigenvalue": 4.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-2.781330093438594) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.7257575795557727) q[1];
h q[2];
ry(-0.20370251993213734) q[2];
h q[3];
ry(-0.6698603440313533) q[3];
h q[4];
ry(-0.2726624102807145) q[4];
ry(-2.9868036550447314) q[5];
rz(-pi) q[5];
h q[6];
h q[7];
cx q[7], q[4];... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[7], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"ZIIZIIII",
"ZZIIIIII",
"IZIZIIII",
"ZIIIIIIZ",
"IZIIIIIZ",
"ZIIIIZII",
"IZIIIZII",
"IIIIIZIZ",
"IZIIZIII",
"IIIIZIIZ",
"IIIIZZII",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"ZIIIIIZI",
"ZIIIIIII",
"IIIZIIII",
"IZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IIIIIIZ... | [
0.5,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.125,
0,
0.125,
0.2499999999... | 0.973513 | [
-0.545324820561429,
1.4584386620868333,
-1.4515151591115454,
-0.3879783256121548,
1.3764361427397378,
-1.3397206880627066,
-0.7632206504139274,
0.26130764342188595,
0.2518662542126444,
1.025122509567589,
0.9490045560652125,
-0.32868341116070365,
0.7817696373644919,
-0.4300001809774634,
-... | {
"n_parameters": 55,
"n_qubits": 8,
"optimal_eigenvalue": -2.416666666666667,
"target_ratio": 0.97,
"target_value": -2.3441666666666667
} | 19 |
73d533dc900ade1f39f82d1daf03a1c8 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 4... | {"states": [9, 27], "expectation_value": -4.158043457423276, "params": [[0.26080000000000003], [-0.26230000000000003]], "bitstrings": ["1110110", "1100100"], "total_optimization_steps": 30, "probabilities": [0.04656678998064981, 0.05660235681656203], "optimization_time": 3.4240193367004395} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(3)) + -2.75 * Z(1) + -0.25 * Z(0) + -1.0 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["1100100"], "largest_eigenvalue": 11.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6453148803699713) q[0];
h q[1];
ry(-1.2906297607399426) q[1];
h q[2];
ry(0.20763618927947922) q[2];
h q[3];
ry(1.5707963228051525) q[3];
h q[4];
ry(-1.2906297607399426) q[4];
h q[5];
cx q[5], q[2];
ry(-0.20763618927947922) q[2];
cx q[5], q[2];
ry(-0.212059... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"IIIIZZI",
"IIZIZII",
"IZZIIII",
"IZIIZII",
"IIIZIZI",
"ZIIIIIZ",
"ZIZIIII",
"ZZIIIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IZIIIII",
"IIIZIII",
"ZIIIIII"
] | [
-0.75,
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-0.75,
-1,
1.75,
-0.25,
-0.25,
-0.75,
-2.75,
-0.25,
-1,
1.25,
0.5,
1.75,
0.5
] | 0.93217 | [
-1.2906297607399426,
0.9633644251176647,
-0.8643128177065958,
1.5707963228051525,
0.6074318337665492,
-0.061168553258004583,
0.41527237855895843,
-0.42411995153383697,
-9.531955346250186e-9,
-1.2449153971741117e-7,
0.8307106868012877,
0.9070901524241489,
1.6098834234627052e-7,
0.0210102808... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -10.75,
"target_ratio": 0.97,
"target_value": -10.4275
} | 432 |
bd450980ecb62a263062b6b855a443ea | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [27, 31], "expectation_value": -5.88727440555093, "params": null, "bitstrings": ["1100100", "1100000"], "total_optimization_steps": 40, "probabilities": [0.41295864328490506, 0.41295864328490506], "optimization_time": 33.34833765029907} | -1.0 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + -0.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(5) + -0.25 * Z(3) + -0.5 * Z(4) + 0.5 * Z(2) + 0.25 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["1110100", "1100100", "1100000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.8940808328512944) q[0];
h q[1];
ry(0.041756198791205276) q[1];
h q[2];
ry(-0.03032114105568228) q[2];
h q[3];
ry(0.4442013340719362) q[3];
h q[4];
h q[5];
ry(0.8884026681438724) q[5];
cx q[5], q[1];
ry(-0.041756198791205276) q[1];
cx q[5], q[1];
ry(-0.8557... | 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(1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IZIIIIZ",
"IIIZIZI",
"IZIZIII",
"IIZIIZI",
"IZZIIII",
"IIZIZII",
"ZIIIIIZ",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIZIIII",
"IIIIZII",
"ZIIIIII"
] | [
-1,
-0.25,
-0.5,
-1,
-0.25,
-0.25,
-0.5,
1.5,
-1.25,
-0.75,
-0.25,
1,
-0.25,
-0.5,
0.5,
0.25
] | 0.971173 | [
0.8884026681438724,
1.622467847555487,
-1.7881616657025887,
0.08351239758241055,
-0.1298063569670014,
0.48401841381661614,
-0.06064228211136456,
0.4944845920735319,
-0.5239031451717074,
-0.8974703140323975,
-1.005223191000236,
0.8108085797164076,
1.648602767536483,
0.2412183790864333,
0.... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 83 |
9ebf73db5d267bdba1dcbb1966f3363d | 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": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5},... | {"states": [511, 2047], "expectation_value": -2.157162783003879, "params": [[-0.07880000000000001], [0.0785]], "bitstrings": ["11000000000", "00000000000"], "total_optimization_steps": 10, "probabilities": [0.0011132709828439765, 0.0011132709828439765], "optimization_time": 1.3534200191497803} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 1.0 * (Z(6) @ Z(3)) + -2.5 * (Z(6) @ Z(2)) + -2.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * (Z(10) @ Z(8)) + 0... | 1 | 11 | 1 | {"smallest_eigenvalues": [-23.5, -23.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -22.5, "smallest_bitstrings": ["00000000000", "11000000000"], "largest_eigenvalue": 21.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.1923238916560033) q[0];
cx q[1], q[0];
rz(0.32472489165759066) q[0];
rx(0.968063289349875) q[0];
rz(0.7683966617600042) q[1];
rx(0.9680632893498751) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.8398877058530303) q[2];
cx q[3], q[2];
h q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
c... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIIZIZII",
"IIIIZIIZIII",
"IIIIZIIIZII",
"IIIIZIZIIII",
"IIIIIZIIZII",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZIZIIIIIIII",
"ZIIZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZI... | [
-1.5,
-2,
-2,
-2,
1,
-2.5,
-2.5,
0.5,
0.5,
-2,
-1.5,
-2,
-2,
0.5,
0.5,
-2,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.575784 | [
1.1923238916560033,
0.8398877058530303,
0.32472489165759044,
0.5466061441186691,
0.07026669297032266,
0.7683966617600039,
0.9680632893498751
] | {
"n_parameters": 7,
"n_qubits": 11,
"optimal_eigenvalue": -23.5,
"target_ratio": 0.97,
"target_value": -22.794999999999998
} | 178 |
d56985f232688510835b204f6df74ea2 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [0, 15], "expectation_value": -2.538673048878541, "params": [[[0.0026000000000000003, 1.6095000000000002], [0.0017000000000000001, 0.0026000000000000003], [0.0025, 0.0019], [0.0023, 0.9065000000000001]]], "bitstrings": ["1111", "0000"], "total_optimization_steps": 160, "probabilities": [0.38847723770589626, ... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3) + 1.0 * Z(2) | 15 | 4 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011", "0000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rx(-0.3496888126830203) q[0];
rz(2.484506498622846) q[0];
rx(-0.3606515987656041) q[1];
rz(2.695813082918283) q[1];
rx(-0.7154262833367034) q[2];
rz(1.8175501947592743) q[2];
rx(-0.19870768265287853) q[3];
rz(1.1347460276828725) q[3];
cx q[3], q[2];
ry(-0.16829304157100... | 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[4] c;
qubit[4] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x3) q[3];
cx q[3], q[0];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(x4) q... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIZZ",
"ZZII",
"IIZI",
"IIIZ",
"ZIII",
"IZII"
] | [
-1,
-1.5,
0.5,
0.5,
-1,
1
] | 0.971412 | [
-0.3496888126830203,
0.9137101718279496,
-0.36065159876560415,
1.125016756123386,
-0.7154262833367034,
0.24675386796437643,
-0.19870768265287853,
1.1347460276828725,
0.3365860831420172,
0.2330728285343483,
0.02036217997528407,
0.2540546231098219,
-0.1563285096769219,
0.6029637664150831,
... | {
"n_parameters": 59,
"n_qubits": 4,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 70 |
4b84faaad3bf7a7580aeb2d06aa05d30 | 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": 19, "source": 0, "target": 3}, {"weight": 18, "source": 0, "target": 6}, {"weight": 15, "source": 0, "tar... | {"states": [245, 242], "expectation_value": -30.421454434200015, "params": [[0.0228, -0.0056, 0.0031000000000000003], [-0.0646, -0.051800000000000006, -0.06330000000000001]], "bitstrings": ["100001010", "100001101"], "total_optimization_steps": 10, "probabilities": [0.005748870285042611, 0.00669952230921442], "optimiza... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-91.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.5, "smallest_bitstrings": ["100001101"], "largest_eigenvalue": 201.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.6443048231322337) q[0];
rz(0.006560768441313605) q[0];
ry(-0.027382260011189343) q[1];
rz(-0.7560049664427597) q[1];
cz q[1], q[0];
ry(0.9810391421707605) q[0];
rz(0.06776315940811514) q[0];
ry(-0.027308400411524384) q[1];
ry(0.0265417769160132) q[2];
rz(-0.1634300... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIZIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"IZIIIIZII",
"IZIIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"... | [
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,
4.5,
18.5,
12.5,
25.5,
22.5,
16,
-0.5,
8.5,
19,
3
] | 0.97263 | [
0.6443048231322337,
0.006560768441313605,
-0.027382260011189343,
-0.7560049664427597,
0.0265417769160132,
-0.16343002633692252,
0.7535600767425178,
-0.009680950261477334,
-0.5862013133244105,
0.334164896560638,
0.40367329899142573,
-0.20895155023113984,
-0.11005399046168386,
-0.29806456352... | {
"n_parameters": 81,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 12 |
eedfffae46889ceabb09be93decddfde | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 2}, {"weight": 4, "source": 2, "target": 3}, {"... | {"states": [121, 109], "expectation_value": -17.25243727184477, "params": [[0.0364, -0.0465, -0.0385], [-0.0597, 0.031900000000000005, 0.0609]], "bitstrings": ["10000110", "10010010"], "total_optimization_steps": 10, "probabilities": [0.012289167935660084, 0.013466446548848762], "optimization_time": 7.343943357467651} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 2.0 * Z(0) + 18.0 * ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 138.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(4.217220369268761e-08) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(4.217220369268761e-08) q[1];
cx q[2], q[1];
rz(1.2027812523740522e-08) q[2];
rx(1.5707964081955679) q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[0], q[6];
rz(4.21722036... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIZII",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
2,
18,
6,
19.5,
14.5,
5,
7.5
] | 0.555556 | [
4.217220369268761e-8,
1.2027812282288794e-8,
1.5707961882202157,
1.570796334854686,
-1.5707962765535362,
1.570796408195568
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 169 |
d250d8f4fdc760c6792fe044aba3c8f3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 4}, {"weight": 19, "source": 0, "target": 5}, {"weight": 20, "source": 1, "target": 2}, {... | {"states": [124, 122], "expectation_value": -17.032878705349706, "params": [[-0.031900000000000005, -0.0193], [0.065, 0.0711]], "bitstrings": ["10000011", "10000101"], "total_optimization_steps": 10, "probabilities": [0.011841595751936846, 0.01467205242374695], "optimization_time": 3.1620731353759766} | 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(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 14.0 * Z(1) + 8.5 * Z(0) + 17.5 * ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-76.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0069419094292595285) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0069419094292595285) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0069419094292595285) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.0069419094292595285) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
14,
8.5,
17.5,
18,
14,
0.5,
6.5,
4.5
] | 0.980464 | [
0.0069419094292595285,
1.5961578357065018,
-1.39146175983926,
1.679134868928517,
1.731621971991924,
-1.762928847811424,
1.2889467312321607,
-1.5369584353342585,
-1.685715989040691
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -76.5,
"target_ratio": 0.97,
"target_value": -74.205
} | 29 |
3ac54a966ac53ee2e7adea8d673692bd | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [2047, 63], "expectation_value": -38.02090719066645, "params": [[[0.0024000000000000002, 0.0016], [0.0026000000000000003, 0.006900000000000001], [0.0024000000000000002, 0.0001], [0.0026000000000000003, 0.0034000000000000002], [-1.6144, 0.00030000000000000003], [0.0025, 0.0002], [0.0026000000000000003, 0.0019... | 1.5 * (Z(3) @ Z(4)) + -3.0 * (Z(0) @ Z(4)) + -3.0 * (Z(0) @ Z(3)) + -3.0 * (Z(1) @ Z(4)) + -3.0 * (Z(1) @ Z(3)) + -2.5 * (Z(1) @ Z(0)) + -2.5 * (Z(2) @ Z(4)) + 1.0 * (Z(2) @ Z(3)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(1)) + -3.0 * (Z(5) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + -2.5 * (Z(8) @ Z(5)) + -2.5 * (Z(9) @ Z(7)) + -... | 2 | 11 | 1 | {"smallest_eigenvalues": [-38.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.5, "smallest_bitstrings": ["11111000000"], "largest_eigenvalue": 39.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.03221570496406274) q[0];
rz(0.07210309783031728) q[0];
rx(-0.05183241727290228) q[1];
rz(-0.21089103509158694) q[1];
rx(-0.03221570496406274) q[2];
rz(0.15991321562739366) q[2];
rx(-0.05183241727290228) q[3];
rz(-0.03724376858482311) q[3];
rx(-1.5949444098086087)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIZZIII",
"IIIIIIZIIIZ",
"IIIIIIIZIIZ",
"IIIIIIZIIZI",
"IIIIIIIZIZI",
"IIIIIIIIIZZ",
"IIIIIIZIZII",
"IIIIIIIZZII",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIZIZIIIII",
"IIZZIIIIIII",
"IIZIIZIIIII",
"IZIZIIIIIII",
"IZIIIZIIIII",
"IZZIIIIIIII",
"ZIIZIIIIIII",
"ZIIIIZIIIII",
"ZIZIIIIII... | [
1.5,
-3,
-3,
-3,
-3,
-2.5,
-2.5,
1,
-2.5,
-2.5,
-3,
1,
-2.5,
-2.5,
-2.5,
-2,
1,
-3,
0.5,
0.5,
-2.5,
1,
0.5,
-2,
-2.5,
-2,
1.5,
1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.98456 | [
-0.03221570496406274,
0.07210309783031728,
-0.05183241727290228,
-0.21089103509158694,
0.15991321562739366,
-0.03724376858482311,
-1.5949444098086087,
0.04693437327613105,
0.05575653730932956,
-0.018496142808979748,
0.05751347134152738,
0.020985098921214904,
-0.01958027297282033,
0.0345768... | {
"n_parameters": 18,
"n_qubits": 11,
"optimal_eigenvalue": -38.5,
"target_ratio": 0.97,
"target_value": -37.345
} | 1 |
69144809aea48cb46eae9c3950f24a15 | vertex_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": [3, 12], "expectation_value": -0.3268568558247049, "params": [[-0.07100000000000001, -0.07490000000000001, -0.069, -0.042300000000000004], [0.0716, 0.07590000000000001, 0.0747, 0.06330000000000001]], "bitstrings": ["1100", "0011"], "total_optimization_steps": 10, "probabilities": [0.09532250353570208, 0.0953... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(1) + 0.0 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.5, "smallest_bitstrings": ["1100", "0110", "0011"], "largest_eigenvalue": 2.5} | 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] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[4] c;
qubit[4] ... | null | {"circuits": [], "gradients": []} | [
"IZIZ",
"IZZI",
"ZIZI",
"IZII",
"IIIZ",
"IIZI",
"ZIII"
] | [
0.5,
0.5,
0.5,
-0.5,
0,
-0.5,
0
] | 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 |
-6049919368163708617 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 5, 7], [0, 1, 3, 5, 7], [1, 2, 3, 4, 5], [1, 2, 6], [0, 2, 3, 6, 7], [0, 1, 4, 6, 7], [2, 3, 4, 6, 7], [1, 2, 7], [0, 1, 3, 4], [3, 5, 6]]} | {"states": [191, 175], "expectation_value": -1.445267690657711, "params": [[[1.5897000000000001, 0.009000000000000001], [1.5645, 0.0053], [2.5506, 0.0032], [1.5682, 0.0043], [2.6177, 0.0091], [2.6257, 0.0073], [2.5652, 0.0058000000000000005], [2.6375, 0.008]]], "bitstrings": ["01000000", "01010000"], "total_optimizatio... | 0.1 * (Z(0) @ Z(2)) + 0.2 * (Z(3) @ Z(2)) + 0.23333333333333334 * (Z(3) @ Z(0)) + 0.1 * (Z(5) @ Z(2)) + 0.1 * (Z(5) @ Z(0)) + 0.31666666666666665 * (Z(5) @ Z(3)) + 0.31666666666666665 * (Z(7) @ Z(2)) + 0.2 * (Z(7) @ Z(0)) + 0.2 * (Z(7) @ Z(3)) + 0.1 * (Z(7) @ Z(5)) + 0.3833333333333333 * (Z(1) @ Z(2)) + 0.1833333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.3666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.2500000000000004, "smallest_bitstrings": ["01010000"], "largest_eigenvalue": 9.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(2.621934659196574) q[0];
rz(0.30114255350086533) q[0];
rx(-0.05324904979229804) q[1];
rz(-0.03396576542688075) q[1];
rx(3.3200508797373156) q[2];
rz(-0.014439051625343924) q[2];
rx(0.1540424974487744) q[3];
rz(-0.6422255549721594) q[3];
rx(2.9793429942961653) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IIZIIZII",
"IIZIIIIZ",
"IIZIZIII",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIZIIIII",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZIZI",
"IIZIIIZI",
"ZIIIIIZI",
"IIIZIZII",
"IIIZIIIZ",
"IIIZZIII",
"IIZZIIII",
"ZIIZIIII",
"IIIZIIZI",
"IZIIIZII",
"IZIIIII... | [
0.1,
0.2,
0.23333333333333334,
0.1,
0.1,
0.31666666666666665,
0.31666666666666665,
0.2,
0.2,
0.1,
0.3833333333333333,
0.18333333333333335,
0.18333333333333335,
0.1,
0.26666666666666666,
0.1,
0.13333333333333333,
0.18333333333333335,
0.05,
0.1,
0.18333333333333335,
0.2666666... | 0.973366 | [
2.621934659196574,
0.30114255350086533,
-0.05324904979229804,
-0.03396576542688075,
3.3200508797373156,
-0.014439051625343924,
0.1540424974487744,
-0.6422255549721594,
2.9793429942961653,
-0.4826730450063399,
3.061252378758223,
0.3845273571945888,
2.994536362386596,
-0.6606494540670212,
... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -2.3666666666666667,
"target_ratio": 0.97,
"target_value": -2.2956666666666665
} | 19 |
11576eab70c2ec583415b5e8bd58f9e2 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": ... | {"states": [21, 28], "expectation_value": -3.499901759135221, "params": null, "bitstrings": ["101010", "100011"], "total_optimization_steps": 26, "probabilities": [1.6353512195995074e-05, 0.9999508518713515], "optimization_time": 19.24986743927002} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 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(2) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3716796306065885) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.3716796306065885) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.3716796306065885) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.3716796306065885) q[4];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"IZZIII",
"ZIIIZI",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1,
-0.5,
0
] | 0.698312 | [
-0.3716796306065885,
0.8727381071204077,
0.7179543098390148,
-0.19857375753212136,
0.8889599314407369,
-1.5807265779890087,
2.4860629174438844,
1.2068334987105587,
0.4724410059780224
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 259 |
-7026630688166662612 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[4, 5], [8, 10], [0, 2], [2, 11], [1, 3], [8, 9], [1, 9], [1, 10], [9, 4], [10, 6], [5, 7]]} | {"states": [1262, 1198], "expectation_value": -1.9902227183513574, "params": [0.4204, 0.4247, 1.0254, 1.0126, 0.4783, 0.47600000000000003, 0.4219, 0.41240000000000004, 1.1628, 1.1583, 0.7033, 0.7152000000000001, 1.1595, 1.1600000000000001, 0.38830000000000003, 0.3875, 1.1245, 1.1338000000000001, 1.1904000000000001, 1.1... | 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(10) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(11) @ Z(6)) + 0.5 * (Z(11) @ Z(10)) + 0.5 * (Z(11) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(9) @ Z(7)) + 0.0 * Z(7) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(10) + 0.0 * Z(4) + 0.0 * Z... | 13 | 12 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.5, "smallest_bitstrings": ["101101010001", "010010101110", "110100101110", "001011010001"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.0664731642917433) q[0];
rz(-0.28692050825166615) q[0];
ry(1.2092943021846363) q[1];
ry(0.07502981170695994) q[2];
ry(0.4125437628621035) q[3];
ry(1.2451447693662476) q[4];
ry(-0.32059264404434007) q[5];
ry(1.355930533962225) q[6];
ry(0.00945735579222617) q[7];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZIIIIII",
"IZIIIIIIIZII",
"IIIIIIIZIIIZ",
"IIIIIIIZZIII",
"IIIIIIIIIZZI",
"IIIIIIZIIIZI",
"ZIIIIZIIIIII",
"ZZIIIIIIIIII",
"ZIIIIIIIIIZI",
"IIIZIIIIIZII",
"IIZIZIIIIIII",
"IIIIZIIIIIII",
"IIIIIZIIIIII",
"IIIIIIIIIZII",
"IZIIIIIIIIII",
"IIIIIIIZIIII",
"IIIIIIIIIIIZ",
"IIIIIIIIZ... | [
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,
0,
0
] | 0.975008 | [
-0.0664731642917433,
1.2092943021846363,
0.07502981170695994,
0.4125437628621035,
1.2451447693662476,
-0.32059264404434007,
1.355930533962225,
0.00945735579222617,
1.6116674397622406,
1.604746000879703,
1.550481142103221,
-0.24109025716617183,
-0.5738410165033323,
0.24909145224917925,
-0... | {
"n_parameters": 48,
"n_qubits": 12,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 45 |
986b1865a9c22a7a362946a00f53955a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "target":... | {"states": [353, 865], "expectation_value": -7.042379531733591, "params": [[-0.00030000000000000003, 1.5893000000000002, -0.0022, 0.9371, 0.6082000000000001, -0.004, 0.0032, 0.0044, -0.016800000000000002, 1.5823], [1.606, 1.5830000000000002, 0.0019, 1.6016000000000001, 1.6115000000000002, -0.0027, 0.0025, 0.00210000000... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(9) ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["0001011110", "0010011110"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.08669120126355302) q[0];
ry(1.2969859451347847) q[1];
ry(0.03757831514565734) q[2];
ry(0.9669923133047675) q[3];
ry(0.31438399382243076) q[4];
ry(-0.13529483877288326) q[5];
ry(-0.08537722533374972) q[6];
ry(-0.07840007367476251) q[7];
ry(0.10244733097804232) q[8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIIIZ",
"IZIZIIIIII",
"IZIIIIIIIZ",
"IIIIZIIIZI",
"IIZZIIIIII",
"IIZIZIIIII",
"IIZIIIIIZI",
"IIIZIIIZII",
"IZIIIIIZII",
"IIIIZIIZII",
"IIZIIIIZII",
"IIIZIIZIII",
"IIIIIIZZII",
"IIIIZZIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IIIZIIIIII",
"IIIIIIIIIZ",
"IZIIIIIIII",
"IIIIZIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
-1.5,
-0.5,
-2,
-2,
-0.5,
0,
-0.5
] | 0.975786 | [
-0.08669120126355302,
1.2969859451347847,
0.03757831514565734,
0.9669923133047675,
0.31438399382243076,
-0.13529483877288326,
-0.08537722533374972,
-0.07840007367476251,
0.10244733097804232,
1.7458395769753654,
2.7266074785465344,
1.7557458551261445,
-0.13601807022194462,
2.259384195109120... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 12 |
db7bdfb6ee94a36848a9fd983ceba634 | 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": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 6, "source": 1, ... | {"states": [67, 65], "expectation_value": -0.8020229529214058, "params": [[-0.018000000000000002, 0.0344, 0.0616], [0.0426, -0.016300000000000002, -0.0458]], "bitstrings": ["10111100", "10111110"], "total_optimization_steps": 10, "probabilities": [0.006133489570786675, 0.006296456996589265], "optimization_time": 4.2894... | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(7)) + -1.75 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.25 * Z(7) + 1.5 * Z(1) + 0.0 * Z(4) + -1.... | 1 | 8 | 3 | {"smallest_eigenvalues": [-17.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["10111110"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.14039623119325925) q[0];
rz(0.5275495493461682) q[0];
rx(1.320633293684479) q[1];
rz(-0.37084208291648135) q[1];
rx(0.10075084016578803) q[2];
rz(0.0887312811211598) q[2];
rx(0.07445349494960915) q[3];
rz(0.4716776547025745) q[3];
rx(0.0012203990205976458) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIZIZII",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-1.5,
-1,
-1,
2.75,
-1.5,
-1.75,
-0.75,
-1.25,
-0.5,
-0.25,
0,
-0.25,
-0.75,
1.25,
1.5,
0,
-1.5,
-0.25
] | 0.971311 | [
0.14039623119325925,
0.5697069044918339,
1.320633293684479,
0.002656640722524764,
0.10075084016578803,
0.2745350143407175,
0.07445349494960915,
0.21127976559546266,
0.0012203990205976456,
-0.2957591951349129,
0.8364192648053017,
0.179559348742313,
0.6253163906217188,
1.5230369812904816,
... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -17.75,
"target_ratio": 0.97,
"target_value": -17.2175
} | 14 |
c93c70941fd8d4d28f4dd543fade5626 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 1, "target":... | {"states": [600, 632], "expectation_value": -8.299785000756607, "params": [1.0050000000000001, 1.0092, -0.0015, 0.0007, 0.002, 0.0039000000000000003, 1.01, 1.0045, 0.8672000000000001, 0.8686, 0.8695, 0.8671000000000001, 1.0007000000000001, 0.9965, -0.0146, -0.0184, 0.0009000000000000001, 0.0012000000000000001, 0.001300... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) ... | 13 | 10 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["0110000111"], "largest_eigenvalue": 25.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.6088032257204339) q[0];
rz(-0.32280807475844026) q[0];
ry(0.24925159432983113) q[1];
ry(0.17269581582512086) q[2];
ry(1.3549539726344282) q[3];
ry(1.573854178989588) q[4];
ry(1.2349730638541445) q[5];
ry(1.2230969332786557) q[6];
ry(0.08396682687547524) 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": []} | [
"IIIIIIIZIZ",
"IIIIIZIZII",
"IIIIIZIIZI",
"IIIIZIIZII",
"IIIIZIIIZI",
"IIZIIZIIII",
"IIZIIIIIZI",
"IIZIZIIIII",
"IZIIIIIZII",
"IZIIIZIIII",
"IZIIIIIIZI",
"IZIIZIIIII",
"ZIIIIZIIII",
"ZIIIIIIIZI",
"ZIIIZIIIII",
"IIIZIIIZII",
"IIZZIIIIII",
"IZIZIIIIII",
"ZIIZIIIIII",
"ZIIIIIZIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-2,
-2,
-2,
-1.5,
-2,
-2,
-1.5,
0
] | 0.976683 | [
1.6088032257204339,
0.24925159432983113,
0.17269581582512086,
1.3549539726344282,
1.573854178989588,
1.2349730638541445,
1.2230969332786557,
0.08396682687547524,
0.23430819806585074,
-0.292832855083847,
-0.6456161495168805,
0.4232832162241672,
-0.40469795913741025,
0.2257910581468327,
0.... | {
"n_parameters": 38,
"n_qubits": 10,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 13 |
41c6fd253707f3493d5d4e5aa1da9109 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, ... | {"states": [129, 1], "expectation_value": -10.395514872067421, "params": null, "bitstrings": ["01111110", "11111110"], "total_optimization_steps": 23, "probabilities": [0.39265181739029803, 0.6073463626735197], "optimization_time": 30.157201290130615} | -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 ... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"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 |
a5a32c53707adac7f9e2e89e005d6cef | 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": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target":... | {"states": [0, 415], "expectation_value": -6.86473622240087, "params": [-0.1726, 2.4956, -0.6362, 0.0038, -0.7449, 1.0973, 0.6567000000000001, 0.009600000000000001, -0.0027, 1.5291000000000001, -0.003, 0.0005, 0.7813, 1.3594000000000002, -0.6251, 0.0009000000000000001, 0.8330000000000001, 1.5386, 0.10500000000000001, 0... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * (Z(7) @ Z(4)) + -2.0 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(8) + 0.5 * Z(6) | 6 | 9 | 1 | {"smallest_eigenvalues": [-11.5, -11.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.5, "smallest_bitstrings": ["001100000", "000000000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-2.484383910114169) q[0];
rz(-1.51884410263151) q[0];
rx(-1.897970709746683) q[1];
rz(-1.4688179192980773) q[1];
rx(-0.07082805868703322) q[2];
rz(1.1163996830687442) q[2];
rx(-0.05471733875695272) q[3];
rz(-1.6510842305915876) q[3];
rx(2.357940307221001) q[4];
rz(-1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIZZIIII",
"IZIZIIIII",
"IZIIZIIII",
"ZIIZIIIII",
"ZIIIZIIII",
"IIZZIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIZIIIIII"
] | [
-1,
-1.5,
-2,
0.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.971961 | [
-2.484383910114169,
3.1935448777531796,
-1.897970709746683,
3.243571061086613,
-0.07082805868703322,
-0.4543966437261523,
-0.05471733875695273,
3.0613047497931025,
2.357940307221001,
3.2001535138793584,
-3.2369755667008655,
2.4231363548542784,
0.7342108761666231,
3.1641802158799206,
0.42... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 257 |
2ac4167724e857e24c346af29393e233 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 12, "source": 1, "target": 3}, {"weight": 10, "source": 2, "target": 3}, {"weight":... | {"states": [365, 364], "expectation_value": -93.69108148635881, "params": [-0.0026000000000000003, 0.392, -0.0024000000000000002, 0.3924, 0.5269, 0.014100000000000001, 0.5292, 0.0017000000000000001, 0.18680000000000002, 0.2021, 0.18330000000000002, 0.2048, 0.5361, 0.049, 0.5323, 0.0425, 0.5206000000000001, -0.0008, 0.5... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(3)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(6) @ Z(7)) + 5.5 * (Z(9) @ Z(4)) + 5.5 * (Z(9) @ Z(7)) + 5.5 * (Z(9) ... | 7 | 10 | 3 | {"smallest_eigenvalues": [-102.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.0, "smallest_bitstrings": ["1010010011"], "largest_eigenvalue": 209.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.052661802221231756) q[0];
rz(0.39675824555709127) q[0];
rx(0.530418903259836) q[1];
rz(0.20099657513382785) q[1];
cx q[1], q[0];
rz(0.024950281181502457) q[0];
cx q[1], q[0];
rz(-2.236048982339642) q[0];
ry(0.04911679910417729) q[0];
rz(2.9675533481690577) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIZIZII",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIZIZIII",
"IIZIIZIIII",
"IIZIIIZIII",
"IIZIZIIIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IIZZIIIIII",
"ZIIIIZIIII",
"ZIZIIIIIII",
"ZIIZIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIIIZIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
6,
-4.5,
10.5,
19.5,
22.5,
10,
23.5,
20.5,
10,
-8.5
] | 0.972482 | [
-0.052661802221231756,
0.4217085267385925,
0.530418903259836,
0.20099657513382785,
0.07464739213117594,
0.07749000028259809,
0.6695738237296276,
-0.08291955675627935,
0.6584153275738067,
0.005331653669297293,
0.2715873324382968,
0.12066926678319402,
0.5046551780083539,
-0.00063861349482808... | {
"n_parameters": 141,
"n_qubits": 10,
"optimal_eigenvalue": -102,
"target_ratio": 0.97,
"target_value": -98.94
} | 8 |
17639781641b88f9ffa836608d3b637d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [78, 86], "expectation_value": -2.993130178969948, "params": [[[1.0076, -0.1666, 0.0053, 0.0029000000000000002], [1.0004, -0.3073, 0.7357, 0.30810000000000004], [0.6626000000000001, 0.001, 0.0061, 0.041], [0.5028, -0.0497, 0.9686, 0.0033], [0.5047, 0.2952, -0.046700000000000005, 0.7694000000000001], [0.3362,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(0) @ Z(5)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(5)) + 0.0625 * (Z(6) @ Z(1)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0... | 11 | 8 | 2 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.8125, "smallest_bitstrings": ["01110001", "10101001", "10110001"], "largest_eigenvalue": 6.1875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.00853918573311922) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.00853918573311922) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.00853918573311922) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.00853918573311922) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZZIII",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIZIII",
"IIZIZIIZ",
"IIIIIZZI",
"IIIZIIZI",
"IIZIIIZI",
"IZIIIIZI",
"IIIZIZII",
"IIZIIZII",
"IZIIIZII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"IIIZIZZI",
"IIZIIZZI",
"IZIIIZZI",
"IIZZIIZI",
"IZIZIIZI",
"IZZIIIZI",
"IIZZIZI... | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
... | 0.974159 | [
-0.00853918573311922,
-1.46907002646597,
0.9850051801492483,
-1.7030247221684855,
-1.4177978208095698,
-1.4428484379449076,
-1.7150907024388522,
1.9780572392671765,
1.482166439868953,
1.6093899059678605
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 39 |
05e37fdcc559b4ea28aee1cdec9b62c6 | 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": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [2996, 2997], "expectation_value": -3.0733968688658937, "params": [[[0.26380000000000003, 0.2937, 0.008400000000000001, 0.0023], [0.1506, -0.165, 1.0029000000000001, -0.0021000000000000003], [0.9998, -0.0073, 0.9945, -0.08310000000000001], [-0.0603, -0.7207, 0.156, -0.7026], [0.3826, 0.0405, -0.0265000000000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 11 | 12 | 2 | {"smallest_eigenvalues": [-4.03125, -4.03125, -4.03125, -4.03125, -4.03125, -4.03125, -4.03125, -4.03125, -4.03125, -4.03125, -4.03125, -4.03125, -4.03125], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -3.03125, "smallest_bitstrings": ["001001001010", "010010000011", "000101001010", "010010001010", "00... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.21279946582034875) q[0];
rz(0.702917731376641) q[0];
ry(-0.09247790593324082) q[1];
rz(-0.004002404118633354) q[1];
cx q[1], q[0];
ry(-0.3001814298283975) q[0];
rz(0.7085675534458005) q[0];
ry(1.7328305125617918) q[1];
rz(-0.06561626095857535) q[1];
ry(0.635663617... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIIZZZI",
"IIIIIIIIZZZZ",
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIIIZIIIIIZ",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIIIZZI... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.03125,
0.03125,
0.03125,
0.03125,
... | 0.970279 | [
0.21279946582034875,
0.702917731376641,
-0.09247790593324082,
-0.004002404118633354,
0.6356636175581302,
0.060893814363036966,
-0.014268555218433024,
-1.227562224545581,
0.4568018501939876,
-0.4105434248924119,
-0.058395909073960674,
0.47303131021329436,
0.8351236816864176,
-0.708006385331... | {
"n_parameters": 86,
"n_qubits": 12,
"optimal_eigenvalue": -4.03125,
"target_ratio": 0.97,
"target_value": -3.9103125
} | 46 |
8974e5cad06096779812bbdbc32e906b | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [108, 102], "expectation_value": -4.999883759797813, "params": null, "bitstrings": ["0010011", "0011001"], "total_optimization_steps": 31, "probabilities": [1.6414553731649223e-05, 0.9999151798178287], "optimization_time": 32.28219389915466} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(6) + 0.0 * Z(0) + -1.0 * Z(1) + -1.5 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + -0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0011001"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(0.08523772634387355) q[0];
cx q[6], q[0];
rz(-0.6275000602258523) q[0];
rx(1.5361357999744325) q[0];
cx q[6], q[1];
rz(0.08523772634387355) q[1];
cx q[6], q[1];
cx q[6], q[2];
rz(0.085237726343873... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"ZIIIIIZ",
"ZIIIIZI",
"ZIIIZII",
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"IIZIZII",
"ZZIIIII",
"IZIZIII",
"ZIIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-1.5,
-1,
0,
-0.5
] | 0.907523 | [
0.08523772634387355,
1.5480803404607733,
-0.6275000602258523,
-0.1404789535044987,
-1.4284191873658791,
1.5361357999744325,
0.8409867621609597,
2.115999799714608,
0.06031835036903118,
-0.3545913389992104,
-1.300356731263291,
0.007768805814347773,
-0.21896447238510156,
1.9712159137160128,
... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 500 |
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": -4.267460298371164, "params": [[-0.0736, -0.0853], [0.0708, 0.0781]], "bitstrings": ["11111000", "11101000"], "total_optimization_steps": 10, "probabilities": [0.012069127502943002, 0.012347711909553135], "optimization_time": 3.468352794647217} | -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 | 2 | {"smallest_eigenvalues": [-18.25, -18.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["11111000", "11101000"], "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] 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",
"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 |
6eae64ea8fbb98001d5ee0d40e46d750 | matching | 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": [{"weight": 10, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 4}, {"weight": 16, "source": 1, "target": 4}, {"weight": 16, "sour... | {"states": [442, 234], "expectation_value": -11.876568834712176, "params": [[-0.0361], [0.0734]], "bitstrings": ["001000101", "100010101"], "total_optimization_steps": 10, "probabilities": [0.003923584114655513, 0.004429549203307349], "optimization_time": 1.7919020652770996} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 14.0 * Z(1) + 10.0 * Z(0) + 18.0 *... | 1 | 9 | 1 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 163.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.020149406650404926) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.020149406650404926) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.020149406650404926) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.020149406650404926) q[3];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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[1], q[0];
rz(x0) q[0];
... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIIZIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
14,
10,
18,
18,
5,
11.5,
10,
9,
2.5
] | 0.936544 | [
0.020149406650404926,
-1.5707637390273943,
1.5706722698203346,
-1.570808472281806,
-1.570917857853981,
-1.5707745541165266,
1.5707411587944087,
1.572847026847481
] | {
"n_parameters": 8,
"n_qubits": 9,
"optimal_eigenvalue": -78,
"target_ratio": 0.97,
"target_value": -75.66
} | 209 |
9dfa6e61b93ce499638bf202901aee84 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target":... | {"states": [503, 3], "expectation_value": -2.1832912457072866, "params": [[0.0558], [-0.044700000000000004]], "bitstrings": ["000001000", "111111100"], "total_optimization_steps": 10, "probabilities": [0.003023230699976999, 0.0030450686338839143], "optimization_time": 0.8377330303192139} | -3.5 * (Z(0) @ Z(1)) + 2.0 * (Z(4) @ Z(1)) + -3.5 * (Z(4) @ Z(0)) + -4.0 * (Z(6) @ Z(1)) + -3.0 * (Z(6) @ Z(0)) + -3.5 * (Z(6) @ Z(4)) + -3.5 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(4)) + 1.0 * (Z(2) @ Z(6)) + -3.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(4)) + 1.0 * (Z(3) @ Z(6)) + -2.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-31.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.5, "smallest_bitstrings": ["111111100"], "largest_eigenvalue": 38.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.013176220082730897) q[0];
rz(-2.9290505700591947) q[0];
rx(-0.0025973889924149965) q[1];
rz(1.6987727939581545) q[1];
cx q[1], q[0];
ry(-0.5011555534039992) q[0];
cx q[1], q[0];
ry(0.48797933332126825) q[0];
rz(-1.5186678172982133) q[0];
rx(-0.0025973889924149965)... | 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[... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIZIIII",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIZIIIZII",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZZIII",
"IIZIIZIII",
"IIIIIZZII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZZIIII",
"IIZZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"... | [
-3.5,
2,
-3.5,
-4,
-3,
-3.5,
-3.5,
1,
-3,
1,
-3.5,
1,
-3,
1,
-2,
1,
1,
0.5,
-3,
-1,
-3,
-2.5,
1,
2,
1,
1,
-2,
0.5,
0.5
] | 0.972438 | [
-0.013176220082730901,
1.7833384103254957,
-0.0025973889924149965,
1.6987727939581545,
1.4972298798884096,
-0.018224784691923172,
1.596480143702964,
1.6736310856587502,
0.04997192677372685,
1.4457537241528815,
-0.9385825112301541,
0.44385548166825034,
1.0201990037682351,
1.0499393299449469... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -31.5,
"target_ratio": 0.97,
"target_value": -30.555
} | 4 |
9191824481129773496 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 3, 4], [1, 2], [0, 4], [1, 3], [1, 4]]} | {"states": [22, 7], "expectation_value": -0.06250446637124418, "params": [[-0.0879], [0.0813]], "bitstrings": ["01001", "11000"], "total_optimization_steps": 10, "probabilities": [0.03349678697572781, 0.03436573816437056], "optimization_time": 0.66461181640625} | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.16666666666666663 * Z(3) + 0.16666666666666663 * Z(2) + 0.16666666666666674 * Z(4) + 0.0 * Z(1) + 0.0 * Z(0) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.9999999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.3333333333333333, "smallest_bitstrings": ["11000"], "largest_eigenvalue": 2.9999999999999996} | 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[2];
rz(0.08984881639627826) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(0.08984881639627826) q[4];
cx q[3], q[4];
cx q[2], q[4];
cx q[3], q[1];
rz(-0.850851132979557) q[1];
cx q[3], q[1];
rz(0.08984881639627851) q[3];
rx(0.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(x0) q[4];
cx q[2], q[4];
cx q[3], q[... | null | {"circuits": [], "gradients": []} | [
"IZZII",
"ZZIII",
"ZIZII",
"IZIZI",
"IIZZI",
"ZIIZI",
"ZIIIZ",
"IZIII",
"IIZII",
"ZIIII",
"IIIZI",
"IIIIZ"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.16666666666666663,
0.16666666666666663,
0.16666666666666674,
0,
0
] | 0.479021 | [
0.08984881639627826,
-0.850851132979557,
-0.0785878081135666,
0.7577349829961233
] | {
"n_parameters": 4,
"n_qubits": 5,
"optimal_eigenvalue": -1.9999999999999998,
"target_ratio": 0.97,
"target_value": -1.9399999999999997
} | 109 |
59eee088ab9aa40878690eaecc43b854 | 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": [2196, 5268], "expectation_value": -81.37874173471612, "params": [[0.4055, 0.2499, 0.39940000000000003, -0.004, -0.04, 0.4083, -0.040400000000000005, -0.0117, 0.40280000000000005, 0.1922, 0.3992, -0.0439, -0.0262], [0.4051, 0.2495, 0.39990000000000003, -0.0036000000000000003, -0.0201, 0.39980000000000004, -0... | 8.5 * (Z(1) @ Z(0)) + 8.5 * (Z(2) @ Z(1)) + 8.5 * (Z(3) @ Z(2)) + 8.5 * (Z(4) @ Z(5)) + 8.5 * (Z(6) @ Z(5)) + 8.5 * (Z(7) @ Z(8)) + 8.5 * (Z(9) @ Z(8)) + 8.5 * (Z(10) @ Z(8)) + 8.5 * (Z(10) @ Z(9)) + 8.5 * (Z(11) @ Z(10)) + 8.5 * (Z(12) @ Z(0)) + 6.5 * Z(0) + 0.5 * Z(1) + 7.5 * Z(2) + -5.5 * Z(3) + 9.0 * Z(5) + -6.5 * ... | 10 | 13 | 4 | {"smallest_eigenvalues": [-161.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -137.5, "smallest_bitstrings": ["0101101101011"], "largest_eigenvalue": 124.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.1456794388237547) q[0];
ry(0.42152162086724754) q[1];
ry(0.8413729544675863) q[2];
ry(-0.03659814307837822) q[3];
ry(0.12185025285833681) q[4];
ry(0.5138040565450611) q[5];
ry(-0.26099653282534924) q[6];
ry(-0.01946271970870301) q[7];
ry(1.201569982857511) 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] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIZZII",
"IIIIIIIZZIIII",
"IIIIIIZZIIIII",
"IIIIZZIIIIIII",
"IIIZZIIIIIIII",
"IIZIZIIIIIIII",
"IIZZIIIIIIIII",
"IZZIIIIIIIIII",
"ZIIIIIIIIIIIZ",
"IIIIIIIIIIIIZ",
"IIIIIIIIIIIZI",
"IIIIIIIIIIZII",
"IIIIIIIIIZIII",
"IIIIIIIZIIIII",
"IIIIIIIIZII... | [
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
6.5,
0.5,
7.5,
-5.5,
9,
-6.5,
-6.5,
15,
-5,
5,
16,
-6.5,
-6.5
] | 0.977809 | [
0.1456794388237547,
0.42152162086724754,
0.8413729544675863,
-0.03659814307837822,
0.12185025285833681,
0.5138040565450611,
-0.26099653282534924,
-0.01946271970870301,
1.201569982857511,
-0.0318773114752388,
0.778498312507681,
-0.2720424518003801,
0.2884867231707794,
0.8997307636737133,
... | {
"n_parameters": 64,
"n_qubits": 13,
"optimal_eigenvalue": -161.5,
"target_ratio": 0.97,
"target_value": -156.655
} | 45 |
0fcc1a24f94fd2a8b4a107178db6be3d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [38, 7], "expectation_value": -4.4890656587991264, "params": null, "bitstrings": ["1011001", "1111000"], "total_optimization_steps": 33, "probabilities": [0.06023624493080601, 0.8645378003106239], "optimization_time": 34.30168056488037} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(5) + -1.0 * Z(1) + -1.5 * Z(3) + -1.0 * Z(6) + -0.5 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1011001", "0111010", "1111000", "0011011"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.003329952575220962) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.003329952575220962) q[1];
cx q[2], q[1];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.003329952575220962) q[5];
cx q[0], q[5];
rz(0.2271403800727576) q[0];
rx(-1.5668... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IZIIIIZ",
"IIIIZZI",
"IZIZIII",
"IIIZIZI",
"ZIIIZII",
"ZIIIIZI",
"ZIIZIII",
"IIZIZII",
"IIZZIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-1,
-1.5,
-1,
-0.5
] | 0.821768 | [
0.003329952575220962,
-1.5708316330529057,
0.2271403800727576,
-0.07902505467877949,
-1.5668304537158142,
1.5736423638586798,
-0.03548527954890518,
-1.5747194547938785,
-3.1472492563193653,
-0.4467237359589419
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 390 |
16a3f0e7912c5ed5cfa032c0d85156ec | 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": 3, "source": 2, "target": 3}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 2, "source": 2, ... | {"states": [127, 63], "expectation_value": -7.573690073039135, "params": null, "bitstrings": ["10000000", "11000000"], "total_optimization_steps": 69, "probabilities": [0.4164851832997924, 0.4167981182531923], "optimization_time": 83.04989886283875} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(1) @ Z(5)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + 1.5 * Z(5) + -0.5 * Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-8.25, -8.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000", "11000000"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.17232329941521132) q[0];
h q[1];
h q[2];
ry(0.7464664516639088) q[2];
h q[3];
ry(0.7464664516639088) q[3];
h q[4];
ry(1.2364204621977426) q[4];
h q[5];
ry(1.4929329033278176) q[5];
cx q[5], q[2];
ry(-0.7464664516639088) q[2];
cx q[5], q[2];
h q[6];
cx q[6],... | 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",
"IIIIZZII",
"IIZIIZII",
"IIZIZIII",
"IZIIIZII",
"IZIIZIII",
"ZIIIIIIZ",
"ZIIIZIII",
"IIZZIIII",
"IZIZIIII",
"IIZIIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIZI"
] | [
-0.25,
-0.75,
-1.5,
-0.5,
-0.5,
-1.75,
0.5,
-0.75,
-0.5,
-0.25,
-1,
0.5,
-0.25,
0.25,
1.5,
-0.5,
-0.25,
-0.25,
-1
] | 0.94919 | [
1.4929329033278176,
1.5802204635152286,
0.8287660673136036,
-0.006786361011339807,
2.472840924395485,
0.34464659883042265,
0.3769747640636233,
-0.4893920067270682,
-0.9833230744965525,
-0.7528240000374548,
-0.06405092881923163,
-2.2431260988694803,
0.6810684091091916,
-0.41384633522050285,... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 500 |
519c34a92d635f5d0d1d5056f186a00b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "s... | {"states": [511, 253], "expectation_value": -6.023907613492215, "params": [[[-0.0026000000000000003, -3.1447000000000003], [-0.003, -0.0025], [-0.003, -0.0029000000000000002], [-0.0019, -0.0023], [-0.002, 0.002], [-0.003, -0.0024000000000000002], [-0.0026000000000000003, -0.0028], [-0.0032, -0.0027], [1.6189, 0.0028]]]... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(2)) + 1.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(2)) + -0.5 * (Z(8) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.25 * (Z(3) ... | 15 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000000", "100000010", "110000000", "110000010", "110100110", "110101110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.0505005019312091) q[0];
ry(0.028410891701922993) q[1];
ry(0.028410891701922993) q[2];
ry(-0.2921272247047445) q[3];
ry(0.10444384253869617) q[4];
ry(0.028410891701922993) q[5];
ry(-0.0505005019312091) q[6];
ry(0.07638954939930696) q[7];
ry(2.7679972102205896) q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IZZIIIIII",
"IZIIIIZII",
"IIZIZIIII",
"IIIIZIZII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"IIZIIZIII",
"ZIIIIZIII",
"IIZZIIIII",
"IZIZIIIII",
"IIIZZIIII",
"IIIZIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIZIIIIII",
"... | [
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.75,
1.25,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
0.75,
0.5,
-0.25,
-0.5,
0.75
] | 0.974255 | [
-0.0505005019312091,
0.028410891701922993,
-0.2921272247047445,
0.10444384253869617,
0.07638954939930696,
2.7679972102205896,
-3.0978092855595905,
0.11907677866538086,
-0.059719361523734395,
0.04894987958156796,
0.09175757565966891,
0.06123634315340683,
0.08862005027616075,
0.4386087598522... | {
"n_parameters": 15,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 11 |
406770799011758457 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 3, 7], [1, 2, 3, 5, 6], [0, 2, 3, 5, 6], [3, 4], [0, 1, 3, 6, 7], [1, 2, 5, 7], [0, 1, 5], [0, 4], [0, 3, 5, 6, 7], [2, 3, 5, 7], [4, 5]]} | {"states": [182, 181], "expectation_value": -1.4999470041199718, "params": [[0.37560000000000004], [-0.3764]], "bitstrings": ["01001001", "01001010"], "total_optimization_steps": 40, "probabilities": [0.015378066678561444, 0.015763071015629477], "optimization_time": 3.96304988861084} | 0.26666666666666666 * (Z(0) @ Z(1)) + 0.18333333333333335 * (Z(2) @ Z(1)) + 0.1 * (Z(2) @ Z(0)) + 0.15000000000000002 * (Z(3) @ Z(1)) + 0.2 * (Z(3) @ Z(0)) + 0.23333333333333334 * (Z(3) @ Z(2)) + 0.18333333333333335 * (Z(7) @ Z(1)) + 0.15000000000000002 * (Z(7) @ Z(0)) + 0.21666666666666667 * (Z(7) @ Z(2)) + 0.23333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.083333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.05, "smallest_bitstrings": ["01001010"], "largest_eigenvalue": 9.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016115017292070332) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.519309030628585) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.048507414161600655) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.07296474686482143) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"ZIZIIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"ZZIIIIII",
"IZZIIIII",
"IIIZIIIZ",
"IIIZZII... | [
0.26666666666666666,
0.18333333333333335,
0.1,
0.15000000000000002,
0.2,
0.23333333333333334,
0.18333333333333335,
0.15000000000000002,
0.21666666666666667,
0.23333333333333334,
0.3,
0.26666666666666666,
0.26666666666666666,
0.23333333333333334,
0.21666666666666667,
0.1,
0.1500000000... | 0.975863 | [
-0.016115017292070332,
0.519309030628585,
-0.048507414161600655,
0.07296474686482143,
-0.0016387769318307113,
0.04329637792869298,
0.06698070195919685,
-0.23478665590269804,
0.0023558000277646377,
-1.4199282856580335,
1.5051994801754602,
1.7012208268879632,
1.5518238699987328,
1.3999007969... | {
"n_parameters": 17,
"n_qubits": 8,
"optimal_eigenvalue": -3.083333333333333,
"target_ratio": 0.97,
"target_value": -2.990833333333333
} | 73 |
ae05ce72b7df15983d820553f894fc63 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 7, "target": 8}]} | {"states": [220, 223], "expectation_value": -6.769907082731684, "params": null, "bitstrings": ["00100011", "00100000"], "total_optimization_steps": 71, "probabilities": [0.14914016997677548, 0.44658881262698996], "optimization_time": 63.0514280796051} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + -0.5 * Z(2) | 5 | 8 | 1 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["00100000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.24279984391901235) q[0];
h q[1];
cx q[1], q[0];
ry(-0.24279984391901235) q[0];
cx q[1], q[0];
ry(-0.0004400047019670686) q[1];
cx q[0], q[1];
ry(0.0004400047019670686) q[1];
cx q[0], q[1];
ry(-0.23967923788221276) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.145401828... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5681) q[5], 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] = mea... | [
"IIIIIIZZ",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIIIZII"
] | [
-1,
-1.5,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.973918 | [
-0.2908036565721266,
1.3209232710417103,
-0.002736437045535332,
1.0136834876312257,
0.4855996878380247,
-0.0008800094039341372,
-1.5378684118805621,
0.2774179041563867,
2.132930272990895,
0.5447618955045739,
-0.6844614367496664,
0.10784489451936338,
0.11545183609082532,
0.4135026459357565,... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 69 |
7217499c8755ce86e3312f0a98c1fbe3 | 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": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [264, 268], "expectation_value": -5.9345028186176885, "params": [[[0.4, 0.0023], [-0.021, 0.2141], [-0.0076, -0.20070000000000002], [0.0022, -0.19890000000000002], [0.15940000000000001, 0.128], [0.3961, -0.0021000000000000003], [0.40040000000000003, 0.0021000000000000003], [0.004, 0.19970000000000002], [0.31... | 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(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5, -7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -6.5, "smallest_bitstrings": ["011101110", "011101101", "011110011", "011110101", "011111010", "011011011", "110110011", "011001111"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(1.8143492284422083) q[0];
ry(2.8823912571519923) q[0];
rz(-1.275738609723857) q[0];
rz(1.586565812019506) q[1];
ry(0.15562872344349907) q[1];
rz(-1.713372028862488) q[1];
rz(3.0843421841445693) q[2];
ry(0.1146837891841558) q[2];
rz(2.7263278452614443) q[2];
rz(-2.115... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIZIIZI",
"IIZIIIIZI",
"IIZIZIIII",
"IZIIIIIZI",
"IZIIIIZII",
"IZIIIZIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIZIZIII",
"IIIZZIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"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,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-0.5,
-2,
-2,
-1,
-1,
-2,
-1.5,
-1
] | 0.974237 | [
0.615414617743846,
0.02334660640828859,
0.15773173414189084,
-0.02032224642844943,
0.09871217488909792,
-0.43730325958085003,
-0.08414476379040693,
-0.07442433187429977,
0.09767462225085069,
-0.0017868233763114194,
0.4043550320589173,
0.0067286267584301535,
0.9265340982309657,
-0.042616733... | {
"n_parameters": 62,
"n_qubits": 9,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 12 |
cd6b95f7911cf005cdf71a0eba496ffd | 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": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "s... | {"states": [243, 251], "expectation_value": -8.49999598512711, "params": null, "bitstrings": ["100001100", "100000100"], "total_optimization_steps": 80, "probabilities": [0.49999958250044885, 0.49999958250044885], "optimization_time": 133.44868779182434} | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + 1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(8)) + -1.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(7) @ Z(8)) + -0.75 * (Z(7) @ Z(1)) + -0.25 * (... | 1 | 9 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.5, "smallest_bitstrings": ["100011100", "100001100", "100000100"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7735667615416032) q[0];
rz(-pi) q[1];
ry(-3.079434104535893) q[1];
h q[2];
ry(1.516306984161729) q[2];
h q[3];
ry(0.7885357724872817) q[3];
cx q[2], q[3];
ry(-0.7885357724872817) q[3];
cx q[2], q[3];
h q[4];
ry(0.766889092337976) q[4];
h q[5];
h q[6];
ry(-... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[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] = m... | [
"IIIIZIIIZ",
"IIZIIIIIZ",
"ZIIIZIIII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIZIIIZII",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIZZIIII",
"IIIZIIZII",
"ZZIIIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"... | [
-0.25,
-0.75,
-0.25,
1.25,
-0.75,
-1.25,
-0.25,
-0.75,
-0.75,
-0.75,
-0.75,
-0.25,
-0.75,
-0.25,
0.75,
-0.25,
-1,
0,
-1,
2,
0.25,
-1.5,
0.75
] | 0.993641 | [
1.516306984161729,
1.5770715449745634,
1.533778184675952,
1.632038848267938,
-1.5471335230832064,
-1.3209620156551498,
-0.22881298705678083,
0.19835338234569008,
0.0022335835759770746,
-0.1446095482429703,
0.1313641484193141,
-0.07455320949885036,
-0.10924030059404183,
-0.10448094640486925... | {
"n_parameters": 14,
"n_qubits": 9,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 1 |
ab957251534d09507f870c3a6ef42154 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [32, 48], "expectation_value": -1.5047822045046848, "params": [[[1.6337000000000002, 0.006500000000000001], [1.6297000000000001, 0.01], [-0.0028, 0.0041], [1.4889000000000001, 0.006200000000000001], [-0.0025, 0.0067], [1.4954, 0.0078000000000000005]]], "bitstrings": ["011111", "001111"], "total_optimization_... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -0.25 * Z(0) + -0.25 * Z(1) + -0.75 * Z(2) + -0.25 * Z(3) + -0.75 * Z(4) + -... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["111010", "101011", "001111", "011110"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.8371932544002377) q[0];
rz(0.20858065204347453) q[0];
ry(-0.45655694041749045) q[1];
ry(0.4641984393163029) q[2];
ry(-0.19028136922153194) q[3];
ry(1.019406464640929) q[4];
ry(-0.07467794364198581) q[5];
ry(0.1078744572788903) q[6];
ry(0.5781622452340566) q[7];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZZIII",
"ZIZIII",
"ZZIIII",
"ZZZIII",
"ZIIIZI",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
-0.25,
-0.75,
-0.25,
-0.75,
-0.25
] | 0.97248 | [
0.8371932544002377,
-0.45655694041749045,
0.4641984393163029,
-0.19028136922153194,
1.019406464640929,
-0.07467794364198581,
0.1078744572788903,
0.5781622452340566,
-0.09758270765337963,
0.42316099187094136,
-0.019552344140408177,
0.5019802359551023,
0.41716130408694907,
-0.391375460764549... | {
"n_parameters": 94,
"n_qubits": 12,
"optimal_eigenvalue": -1.5131944444444438,
"target_ratio": 0.97,
"target_value": -1.4677986111111105
} | 23 |
8198021928293f705270038472b9e016 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 7, "source": 0, "target": 3}, {"capacity": 7, "s... | {"states": [0, 1], "expectation_value": -23.082823650099566, "params": [-0.0018000000000000002, 0.25680000000000003, 0.0025, 0.6029, 0.0025, 0.6029, 0.0023, 0.47740000000000005, -0.0023, -0.0036000000000000003, 0.0025, 0.5780000000000001, 0.0028, -0.5966, 0.0026000000000000003, 0.4592, 0.8, 0.0089, -0.0056, 0.0097, 0.0... | -1.0 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(0)) + -1.75 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(3)) + 5.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(3)) + -2.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(... | 3 | 9 | 2 | {"smallest_eigenvalues": [-33.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 23.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.2154578741281564) q[0];
rz(0.34104839509878815) q[0];
rx(0.014353031530877552) q[1];
rz(-0.20570222180983766) q[1];
rx(0.08050603302810429) q[2];
rz(-0.008367973851877153) q[2];
rx(0.08050603302810427) q[3];
rz(0.16236793919225168) q[3];
rx(0.12664392325642937) 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": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"IIIIZIIZI",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IZIIIIZII",
"IZIIIZIII",
"IZZIIIIII",
"IZIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"... | [
-1,
-0.5,
-1,
-0.5,
-1.75,
-1.75,
-1.5,
5.75,
-0.5,
-1,
-0.5,
-1.25,
-2.75,
-0.5,
-0.25,
-0.25,
-0.25,
-1.75,
-1,
-0.75,
-0.25,
-0.75,
0.25,
-1,
5.25,
0,
-0.5,
-2.25
] | 0.970861 | [
-0.21545787412815637,
0.3285993477694789,
0.014353031530877552,
-0.021653355952673856,
0.08050603302810427,
-0.07075527064291534,
0.1259199627627,
0.12664392325642937,
-0.06670408457052271,
-0.12000144934019084,
0.21144554096104196,
-0.14863542639379768,
-0.11968746102607022,
0.24510922225... | {
"n_parameters": 23,
"n_qubits": 9,
"optimal_eigenvalue": -33.25,
"target_ratio": 0.97,
"target_value": -32.2525
} | 9 |
406f205c8f68e15d44cfdbce281f4c7d | 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": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [56, 37], "expectation_value": -0.12535521558034082, "params": [[-0.029400000000000003, -0.0346, -0.0444], [0.010700000000000001, 0.022000000000000002, 0.0385]], "bitstrings": ["000111", "011010"], "total_optimization_steps": 10, "probabilities": [0.01750027318738929, 0.01750293846224904], "optimization_time... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(3) + 0.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["001110", "011010", "000111"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.00817263797266711) q[0];
rz(0.5966647633891988) q[0];
rx(-0.00817263797266711) q[1];
rz(0.13566274477300744) q[1];
rx(3.0563566369992974) q[2];
rz(1.526362272167271) q[2];
rx(2.7143491625185714) q[3];
rz(0.6625473815348293) q[3];
rx(-0.235591289998422) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IIZIZI",
"IZIZII",
"IIZZII",
"ZZIIII",
"ZIIZII",
"IZIIII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-0.5,
0,
-1,
-0.5
] | 0.974338 | [
-0.00817263797266711,
0.5966647633891988,
0.13566274477300744,
3.0563566369992974,
1.526362272167271,
2.7143491625185714,
0.6625473815348293,
-0.235591289998422,
0.5263775625222091,
3.0339991639572848,
0.17723105258234045
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 12 |
d7d01055332214989e6d0d1158e981dc | 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": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2... | {"states": [64, 63], "expectation_value": -12.295308595896392, "params": [[[0.012, 0.0031000000000000003], [-0.007500000000000001, 0.0025], [0.0018000000000000002, -0.003], [0.0047, -0.003], [0.0046, -0.0029000000000000002], [1.5534000000000001, -0.001], [0.023200000000000002, 0.0091]], [[-0.0216, -0.0239], [-0.001, -0... | -0.25 * (Z(0) @ Z(1)) + -1.75 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -0.25 * Z(1) + -0.25 * Z(0) + 3.25 * Z(3... | 15 | 7 | 3 | {"smallest_eigenvalues": [-12.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 20.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(0.056065987942702615) q[0];
ry(0.04731444554150925) q[1];
ry(0.13965633326414878) q[2];
ry(-0.09162924285059836) q[3];
ry(0.0747152677173499) q[4];
ry(1.6747361148983202) q[5];
ry(0.1222992208446019) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIZIII",
"IIIIZZI",
"IIZIZII",
"IZIZIII",
"ZZIIIII",
"IZIIZII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIZII",
"IIZIIII",
"IZIIIII"
] | [
-0.25,
-1.75,
-1.5,
-1,
2,
-1.5,
-0.75,
-0.5,
-1.5,
-1.75,
-1.75,
-1.5,
-0.25,
-0.25,
3.25,
-2.25,
1.5,
1,
-3
] | 0.971776 | [
0.056065987942702615,
0.04731444554150925,
0.13965633326414878,
-0.09162924285059836,
0.0747152677173499,
1.6747361148983202,
0.1222992208446019,
-0.027802478358916687,
-0.010982101536667798,
0.010716214130102548,
-0.003013292790767912,
-0.15205972769084672,
-0.06415202441498268,
0.0172702... | {
"n_parameters": 35,
"n_qubits": 7,
"optimal_eigenvalue": -12.75,
"target_ratio": 0.97,
"target_value": -12.3675
} | 39 |
-3670075710682441660 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 7], [1, 3, 6], [0, 3, 6, 7], [0, 2, 4, 7], [0, 5]]} | {"states": [55, 63], "expectation_value": -0.5891156982523158, "params": [[0.3567], [-0.34440000000000004]], "bitstrings": ["11001000", "11000000"], "total_optimization_steps": 40, "probabilities": [0.010040892080554791, 0.0101383706433406], "optimization_time": 2.911048173904419} | 0.5 * (Z(1) @ Z(7)) + 0.08333333333333333 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.25 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(0) @ Z(6)) + 0.0833333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7500000000000004, "smallest_bitstrings": ["11000000"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[1];
rz(1.570796295906865) q[1];
cx q[7], q[1];
cx q[7], q[3];
rz(6.6847588988926575e-09) q[3];
cx q[7], q[3];
cx q[1], q[3];
rz(-6.32282106538591e-08) q[3];
cx q[1], q[3];
cx q[7], q[6];
rz(6.684... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[1];
rz(x0) q[1];
cx q[7],... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZI",
"ZIIIZIII",
"IIIIZIZI",
"ZZIIIIII",
"IZIIIIZI",
"IZIIZIII",
"ZIIIIIIZ",
"IIIIZIIZ",
"IZIIIIIZ",
"ZIIIIZII",
"IIIIIZIZ",
"ZIIZIIII",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIII... | [
0.5,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.25,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.25,
0.16666666... | 0.779865 | [
1.570796295906865,
6.6847588988926575e-9,
-6.32282106538591e-8,
-3.774168792569957e-8,
1.570796069896625,
1.5707963754431318,
-1.0180565337462006e-7,
-0.8415250956077185
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -1.8333333333333335,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 204 |
ffe7b5f4782407d3e85a3f55af5889c1 | 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": 2, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 6, "s... | {"states": [163, 183], "expectation_value": -12.503222531844179, "params": null, "bitstrings": ["101011100", "101001000"], "total_optimization_steps": 90, "probabilities": [0.24653508301111543, 0.7532227043090644], "optimization_time": 141.17030954360962} | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -1.75 * (Z(1) @ Z(6)) + -1.75 * (Z(3) @ Z(1)) + -1.25 * (Z(4) @ Z(6)) + -1.25 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(3)) + 2.0 * (Z(8) @ Z(0)) + -1.75 * (Z(8) @ Z(3)) + -0.75 * (Z(7) @ Z(4)) + -1.25 * Z(2) + -0.25 * Z(0) + -1.25 ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-12.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["101001000"], "largest_eigenvalue": 16.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.8342401797212022) q[0];
h q[1];
ry(1.5496241098090255) q[1];
h q[2];
ry(-0.8134812327530893) q[2];
h q[3];
ry(0.7748120549045128) q[3];
cx q[1], q[3];
ry(-0.7748120549045128) q[3];
cx q[1], q[3];
h q[4];
ry(0.6952604176041987) q[4];
h q[5];
ry(-0.739663059... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIZIZ",
"IIZIIIIIZ",
"IIIIIIZZI",
"IIZIIIIZI",
"IIIIIZIZI",
"IIZIZIIII",
"IIIIZIIZI",
"IIIZIIZII",
"IIIZIZIII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IZIIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-0.5,
-1.25,
-0.75,
-1.75,
-1.75,
-1.25,
-1.25,
-0.5,
-0.25,
2,
-1.75,
-0.75,
-1.25,
-0.25,
-1.25,
2,
0.75,
-0.75,
-0.25,
0.25,
0.75
] | 0.979313 | [
1.5496241098090255,
-1.6684803594424045,
-1.6269624655061785,
1.3905208352083973,
1.550453941853096,
-1.4793261191708578,
1.0533544851530927,
-0.034849540509988605,
0.10902409872729314,
0.046541968081840954,
-0.09148475048676868,
0.09483930685092878,
-0.022908238681126583,
0.04709644411773... | {
"n_parameters": 21,
"n_qubits": 9,
"optimal_eigenvalue": -12.75,
"target_ratio": 0.97,
"target_value": -12.3675
} | 1 |
9055093161837602473 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 7], [0, 2, 3, 7], [1, 2, 4, 5], [3, 4], [8, 2, 4], [1, 2, 4, 6], [8, 3, 5, 6], [1, 3], [0, 8, 2], [2, 4, 7], [0, 1, 4, 6]]} | {"states": [476, 472], "expectation_value": -2.8454065176774916, "params": [2.0757, 0.3612, 1.0618, 0.0008, 1.9689, 0.20570000000000002, 1.1615, 0.0038, 2.0873, 0.3205, 1.0448, 0.0059, -0.0039000000000000003, 1.0162, 0.0039000000000000003, 0.007500000000000001, 2.0646, 0.3059, 1.0667, 0.0089, 2.0777, 0.3799, 1.0569, 0.... | 0.5 * (Z(1) @ Z(7)) + 0.08333333333333333 * (Z(0) @ Z(7)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(7)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.... | 5 | 9 | 1 | {"smallest_eigenvalues": [-2.916666666666666, -2.916666666666666], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.833333333333334, "smallest_bitstrings": ["010010001", "000100111"], "largest_eigenvalue": 9.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.994696906338856) q[0];
rz(0.5198250411034735) q[0];
rx(2.225471642815707) q[1];
rz(0.035890611665649) q[1];
rx(2.2463311588642956) q[2];
rz(0.643905721983681) q[2];
rx(-0.11158164942014197) q[3];
rz(1.1285370667280539) q[3];
rx(2.2269693029567605) q[4];
rz(0.295168... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IZIIIIIZI",
"IZIIIIIIZ",
"IIIIIIIZZ",
"IZIIIIZII",
"IIIIIIZZI",
"IIIIIIZIZ",
"IZIIIZIII",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IZIIZIIII",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"... | [
0.5,
0.08333333333333333,
0.08333333333333333,
0.25,
0.16666666666666666,
0.25,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.25,
0.08333333333333333,
0.5,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.083333333... | 0.97063 | [
1.994696906338856,
0.5756158658135446,
2.225471642815707,
0.0021063207765652722,
2.2463311588642956,
0.6839610911900676,
-0.11158164942014197,
0.857896741303929,
2.2269693029567605,
0.29940706422788177,
1.9674752651292218,
0.3107899142347582,
1.7117395815121224,
-0.4023196961761061,
0.25... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -2.916666666666666,
"target_ratio": 0.97,
"target_value": -2.829166666666666
} | 26 |
26d7f56e59bfdf48052023802b40605b | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [1, 3], "expectation_value": -3.0564686782356327, "params": [[[0.7486, 0.0337], [0.3866, 0.193], [0.3919, -0.1968], [0.7982, 0.003], [0.8023, -0.0029000000000000002]], [[0.7512000000000001, 0.0037], [0.3956, 0.0014], [0.39580000000000004, 0.0047], [0.8015, 0.005200000000000001], [0.8007000000000001, 0.007200... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 1 | 5 | 2 | {"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;
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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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,
2,
1.75,
1.75,
2,
2,
2,
-2.75,
-2.5,
-2.75,
-2.25,
-2.25
] | 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 |
ec9ee99a99635bfb2894ad6f8f87b80c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target":... | {"states": [460, 492], "expectation_value": -4.503419407335589, "params": [-0.0013000000000000002, 0.0047, 1.0072, 1.0013, 1.0029000000000001, 1.0053, 1.0083, 1.0049000000000001, 0.8104, 0.8126, -0.0021000000000000003, -0.0032, 1.0112, 1.0087000000000002, 1.0055, 1.0079, 0.25620000000000004, 0.25, 0.008400000000000001,... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.0 * Z(3) + -1.5 * Z(0) + -1.0 * Z(4) + -1.5 * Z(5) + 0.0 * Z(7) + -1.0 * Z(9... | 13 | 10 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["1000010011"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.1116402828288514) q[0];
rz(-0.0013971015911471846) q[0];
ry(1.5618784938723522) q[1];
ry(1.4735574500585813) q[2];
ry(1.3467944737302802) q[3];
ry(1.6808389174367455) q[4];
ry(0.013767046644838549) q[5];
ry(1.5892850249210435) q[6];
ry(1.695172820019794) q[7];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIZIIIIIIZ",
"ZIIIIZIIII",
"ZIIIZIIIII",
"ZIIIIIIIZI",
"IIIIZIIZII",
"IZIIIZIIII",
"IZIIIIIZII",
"IIIZZIIIII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IZIIIIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1.5,
-1,
-1.5,
0,
-1,
0,
-0.5,
-0.5,
0
] | 0.978738 | [
-0.1116402828288514,
1.5618784938723522,
1.4735574500585813,
1.3467944737302802,
1.6808389174367455,
0.013767046644838549,
1.5892850249210435,
1.695172820019794,
0.15248729095306923,
0.1352080887508963,
-0.002794203182294369,
0.34576896984517697,
-0.03230634402112606,
-0.0818442260730074,
... | {
"n_parameters": 37,
"n_qubits": 10,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 16 |
-8908759850788202683 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 4, 6], [1, 2, 4, 6, 7], [8, 0, 2], [1, 2, 5, 6, 7, 8], [3, 5], [0, 3, 4, 7, 8], [0, 1, 3, 4, 6, 7], [2, 4, 5, 6, 7, 8]]} | {"states": [475, 411], "expectation_value": -1.6985153461942955, "params": [1.6002, 1.5205, 1.1875, 1.6829, 0.4912, 0.5634, 0.076, 0.07010000000000001, 1.6863000000000001, 1.4924000000000002, 1.2730000000000001, 1.4268, 1.6859000000000002, 0.8027000000000001, 1.6782000000000001, 1.4711, 1.1447, 1.5195, 0.76260000000000... | 0.11666666666666667 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.19999999999999998 * (Z(6) @ Z(1)) + 0.15 * (Z(6) @ Z(8)) + 0.19999999999999998 * (Z(6) @ Z(4)) + 0.08333333333333334 * (Z(2) @ Z(1)) + 0.2333333333333333 * (Z(2) @ Z(8)) + 0.08333333333333334 * (Z(2) @ Z(... | 14 | 9 | 1 | {"smallest_eigenvalues": [-2.083333333333334, -2.083333333333334], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0500000000000007, "smallest_bitstrings": ["100001100", "001100100"], "largest_eigenvalue": 7.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.5992786049540104) q[0];
rz(pi/2) q[0];
ry(1.0312241800692765) q[1];
ry(0.08264968246155498) q[2];
ry(0.006527381806543407) q[3];
ry(2.455917171222269) q[4];
ry(0.9676118276434915) q[5];
ry(1.6231415757158154) q[6];
ry(1.9758838519001798) q[7];
ry(1.1650695596814584... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIZI",
"IIIIZIIZI",
"ZIIIZIIII",
"IIZIIIIZI",
"ZIZIIIIII",
"IIZIZIIII",
"IIIIIIZZI",
"ZIIIIIZII",
"IIIIZIZII",
"IIZIIIZII",
"IZIIIIIZI",
"ZZIIIIIII",
"IZIIZIIII",
"IZZIIIIII",
"IZIIIIZII",
"IIIIIIIZZ",
"ZIIIIIIIZ",
"IIIIZIIIZ",
"IIZIIIIIZ",
"IIIIIIZIZ",
"IZIIIIIIZ",
"... | [
0.11666666666666667,
0.16666666666666666,
0.16666666666666666,
0.19999999999999998,
0.15,
0.19999999999999998,
0.08333333333333334,
0.2333333333333333,
0.08333333333333334,
0.11666666666666667,
0.11666666666666667,
0.11666666666666667,
0.16666666666666666,
0.15,
0.11666666666666667,
0.... | 0.979162 | [
1.5992786049540104,
1.0312241800692765,
0.08264968246155498,
0.006527381806543407,
2.455917171222269,
0.9676118276434915,
1.6231415757158154,
1.9758838519001798,
1.1650695596814584,
1.2140741875506806,
0.6040977206881893,
-0.5791839170781561,
1.118670902341793,
0.28738163617673707,
0.503... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -2.083333333333334,
"target_ratio": 0.97,
"target_value": -2.020833333333334
} | 33 |
-508403983969535921 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 4], [2, 3], [0, 1], [0, 3]]} | {"states": [11, 20], "expectation_value": -0.0507661245299771, "params": [[0.07640000000000001], [-0.0849]], "bitstrings": ["10100", "01011"], "total_optimization_steps": 10, "probabilities": [0.03449919102033027, 0.03449919102033027], "optimization_time": 0.36152100563049316} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["01011", "10100"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(0.8909584347184499) q[2];
cx q[4], q[2];
cx q[2], q[3];
rz(0.8909584347184499) q[3];
cx q[2], q[3];
rz(-8.909950111046783e-09) q[2];
rx(-0.7853981732803847) q[2];
cx q[3], q[0];
rz(0.8909584347184499) q[0];
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[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(x0) q[1];
cx ... | null | {"circuits": [], "gradients": []} | [
"ZIZII",
"IZZII",
"IZIIZ",
"IIIZZ",
"ZIIII",
"IIZII",
"IZIII",
"IIIIZ",
"IIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.561092 | [
0.8909584347184499,
-8.909950030797612e-9,
-0.7853981732803847
] | {
"n_parameters": 3,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 98 |
bd9e0113c93c45b06b4996cff164358f | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"sour... | {"states": [186, 254], "expectation_value": -14.516049550963922, "params": null, "bitstrings": ["01000101", "00000001"], "total_optimization_steps": 100, "probabilities": [0.0543893623781647, 0.5345719852597998], "optimization_time": 166.03686213493347} | -3.0 * (Z(0) @ Z(2)) + 1.0 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(0)) + 1.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + -3.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -3.0 * (Z(5) @ Z(1)) + -3.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(1)) + 1.0 ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["00000001"], "largest_eigenvalue": 23.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.07616796533950228) q[0];
h q[1];
ry(0.07616796533950228) q[1];
h q[2];
ry(0.07616796533950228) q[2];
h q[3];
ry(0.07616796533950228) q[3];
h q[4];
ry(0.07616796533950228) q[4];
h q[5];
cx q[5], q[1];
ry(-0.07616796533950228) q[1];
cx q[5], q[1];
cx q[1], q[... | null | {"node": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5708) q[6], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... | [
"IIIIIZIZ",
"IIIZIZII",
"IIIZIIIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIZIIZI",
"IIZIIZII",
"IIZIIIIZ",
"IIZZIIII",
"IIZIIIZI",
"IZIIIZII",
"IZIIIIIZ",
"IZIZIIII",
"IZIIIIZI",
"IZZIIIII",
"IIIIZZII",
"IIIIZIIZ",
"IIIIZIZI",
"IIZIZIII",
"IZIIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIII... | [
-3,
1,
-2.5,
1,
0.5,
-2.5,
-3,
0.5,
0.5,
-3,
-3.5,
1,
-2.5,
-2.5,
1,
-2.5,
0.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.971094 | [
0.15233593067900456,
1.3466517223532093,
1.1743373374464443,
1.9699103012595947,
-0.11289507547920273,
-0.19805369152511781,
0.10730586163778556,
-0.3375600836328495,
-0.10619940126435479,
0.10251657365838052,
0.186792262758056,
-0.09801680957948457,
-0.38076699497540234,
0.102598638687684... | {
"n_parameters": 57,
"n_qubits": 8,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 163 |
151037f60feb2ab36dd911279333468a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [282, 186], "expectation_value": -1.3635310543216532, "params": [[[0.49910000000000004, -0.10550000000000001, 0.0016, 0.0024000000000000002], [0.23950000000000002, 0.3221, 0.5031, 0.18910000000000002], [-0.037700000000000004, 0.3068, 0.0489, 0.3044], [-0.4697, -0.20720000000000002, 0.504, -0.1060000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.25 * (Z(7) @ Z(5)) + 0.25 * (Z(8) @ Z(5)) + 0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(8) @ Z(5)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(6) @ Z(0)) + 0.0625 * (Z(7) @ Z(0)) + 0.0625 * (Z(4) @ Z(3)) + 0.0625 ... | 11 | 9 | 3 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.3125, "smallest_bitstrings": ["111001000", "101001001", "011000101", "011101000", "011000110", "010111000", "011011000", "011001100", "011... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-0.539452789434488) q[1];
h q[2];
cx q[2], q[1];
ry(0.539452789434488) q[1];
cx q[2], q[1];
ry(-0.5845116657967028) q[1];
ry(0.9834662797149554) q[2];
h q[3];
ry(1.5330096657731351) q[3];
ry(-0.11200390697869815) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.6575... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIIZZII",
"IIIIZIZII",
"IIZZIIIII",
"IZIZIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"ZZIZIIIII",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IIIIZZIII",
"IIZIIZIII",
"IZIIIZIII",
"IIZIZIIII",
"IZIIZIIII",
"IZZIIIIII",
"IIIIZZIIZ",
"IIZIIZIIZ",
"IZIIIZIIZ",
"... | [
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.062... | 0.993425 | [
-1.6575525822630313,
-1.449926247916613,
1.5330096657731351,
-0.9691702254542486,
-1.078905578868976,
0.7709667434794807,
0.7760692036349812,
-0.5005787858870715,
0.7322163787030611,
-0.45679582590987716,
0.41479415215994836,
-0.459057514051594,
-0.2554316797736514,
0.3373200785540253,
0... | {
"n_parameters": 26,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
-3809314313820656074 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 3, 4, 5, 6, 7, 8, 9, 10], [0, 1, 2, 3, 4, 5, 6, 8, 9, 10], [8, 1, 4, 7], [1, 2, 3, 5, 6, 7, 8, 9, 10], [1, 4, 5, 6, 7, 9, 10], [0, 1, 3, 4, 5, 7, 9, 10], [1, 3, 4, 6, 7, 9, 10]]} | {"states": [1759, 1631], "expectation_value": -1.2618416943429211, "params": [[0.0023, 2.7186000000000003, 0.0025, -0.729, -0.0027, 0.0019, 0.7137, 0.0021000000000000003, 1.443, 0.0018000000000000002, 1.578], [3.1391, 0.4282, -0.0024000000000000002, 2.1498, 3.1390000000000002, 0.0019, 2.4239, 3.1393, 1.7041000000000002... | 0.022222222222222223 * (Z(0) @ Z(3)) + 0.03611111111111111 * (Z(4) @ Z(3)) + 0.040079365079365076 * (Z(4) @ Z(0)) + 0.022222222222222223 * (Z(5) @ Z(3)) + 0.040079365079365076 * (Z(5) @ Z(0)) + 0.06388888888888888 * (Z(5) @ Z(4)) + 0.03611111111111111 * (Z(6) @ Z(3)) + 0.040079365079365076 * (Z(6) @ Z(0)) + 0.053968253... | 10 | 11 | 1 | {"smallest_eigenvalues": [-1.3095238095238095], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.3095238095238093, "smallest_bitstrings": ["00110100000"], "largest_eigenvalue": 7.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.05342256721135158) q[0];
ry(2.756007011958664) q[1];
ry(-0.018727113503939418) q[2];
ry(-0.8977287635962654) q[3];
ry(-0.13989229158288075) q[4];
ry(-0.00988744172692499) q[5];
ry(0.6502268981657076) q[6];
ry(-0.011916703226605568) q[7];
ry(1.617882814362249) q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIIIIZZIII",
"IIIIIIZIIIZ",
"IIIIIZIZIII",
"IIIIIZIIIIZ",
"IIIIIZZIIII",
"IIIIZIIZIII",
"IIIIZIIIIIZ",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIZIIIZIII",
"IIIZIIIIIIZ",
"IIIZIIZIIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IIZIIIIZIII",
"IIZIIIIIIIZ",
"IIZIIIZIIII",
"IIZIIZIII... | [
0.022222222222222223,
0.03611111111111111,
0.040079365079365076,
0.022222222222222223,
0.040079365079365076,
0.06388888888888888,
0.03611111111111111,
0.040079365079365076,
0.053968253968253964,
0.06388888888888888,
0.03611111111111111,
0.022222222222222223,
0.059920634920634916,
0.0698412... | 0.973463 | [
0.05342256721135158,
2.756007011958664,
-0.018727113503939418,
-0.8977287635962654,
-0.13989229158288075,
-0.00988744172692499,
0.6502268981657076,
-0.011916703226605568,
1.617882814362249,
-0.05540238889818244,
1.843152203682581,
3.2100696507481157,
0.3557515217235905,
-0.1609249636892498... | {
"n_parameters": 21,
"n_qubits": 11,
"optimal_eigenvalue": -1.3095238095238095,
"target_ratio": 0.97,
"target_value": -1.2702380952380952
} | 3 |
6ca7d17fd5da99c16b5e08c2388f4219 | 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": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 2, "s... | {"states": [191, 159], "expectation_value": -9.998244594170757, "params": null, "bitstrings": ["101000000", "101100000"], "total_optimization_steps": 63, "probabilities": [0.49913300371250197, 0.49913300371250197], "optimization_time": 95.27326321601868} | -0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(7) @ Z(5)) + -0.75 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @... | 1 | 9 | 2 | {"smallest_eigenvalues": [-10.0, -10.0, -10.0, -10.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.0, "smallest_bitstrings": ["100000000", "111111110", "101000000", "101100000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.005199878430952781) q[0];
rz(0.49753994051744854) q[0];
rx(0.009444908772521665) q[1];
rz(0.056812599041951906) q[1];
rx(0.0102766991684648) q[2];
rz(-0.676310269412558) q[2];
rx(0.0016931880366726111) q[3];
rz(0.9424830252791354) q[3];
rx(0.0016931880366726115) q... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[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] = ... | [
"IIIZIIIIZ",
"IIIZIIZII",
"IIIIIIZZI",
"IIZZIIIII",
"IIZIIIZII",
"IIZIIIIZI",
"IIIIIZZII",
"IIIZZIIII",
"IIIIZIIZI",
"IZIZIIIII",
"IZIIIIIZI",
"IZZIIIIII",
"IZIIIZIII",
"IZIIZIIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIZIIIIII",
"... | [
-0.25,
-0.75,
-0.75,
-0.75,
-0.75,
-1,
-0.5,
-0.5,
-1,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
0.5,
-0.25,
-0.25,
-0.25,
-2.75,
0,
1.25,
0,
1,
0.75,
0.25
] | 0.970696 | [
-0.005199878430952782,
0.37496190897554177,
0.009444908772521663,
-0.23217063461303789,
0.0102766991684648,
-0.4946957216394926,
0.0016931880366726111,
0.7310045504369199,
-0.3930316605389239,
-0.05982864059873119,
0.5973458095286764,
-0.2609853964398807,
-0.022565700292863936,
0.740756047... | {
"n_parameters": 40,
"n_qubits": 9,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 6 |
60668963da06e834e19f76557703de50 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [895, 830], "expectation_value": -10.95628762422154, "params": [[-0.12010000000000001, 0.0004, -0.031100000000000003], [0.1685, 0.0936, 0.0932]], "bitstrings": ["1110010000000", "1110011000001"], "total_optimization_steps": 20, "probabilities": [0.0014360908012482736, 0.001436090801248274], "optimization_tim... | -0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(12) @ Z(3)) + 0.5 * (Z(7) @ Z(12)) + 0.5 * (Z(8) @ Z(12)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(12)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + 0... | 1 | 13 | 3 | {"smallest_eigenvalues": [-20.5, -20.5, -20.5, -20.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -20.166666666666664, "smallest_bitstrings": ["1110011000001", "1110010000000", "1110101000001", "1110100000000"], "largest_eigenvalue": 44.16666666666667} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.3495795638101787) q[1];
cx q[2], q[1];
rz(1.316267177939518) q[1];
rx(0.9018162532465075) q[1];
rz(1.316267177939518) q[2];
rx(0.9018162532465075) q[2];
cx q[2], q[1];
rz(0.7064898143884604) q[1];
cx q[2], q[1];
rz(0.2181291... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIIIIZIIZ",
"IIIIIIIIZZIII",
"IIIIIIIIZIIIZ",
"IIIIIIIZIZIII",
"IIIIIIIZIIIIZ",
"IIIIIIIZZIIII",
"ZIIIIIIIIZIII",
"ZIIIIZIIIIIII",
"ZIIIZIIIIIIII",
"IIIIZZIIIIIII",
"IIIIIIZIIZIII",
"ZIIIIIZIIIIII",
"IIIIIZZIIIIII",
"IIIIZIZIIIIII",
"IIIZIZIIIIIII",
"IIIZZIIIIIIII",
"IIZIIZIIIII... | [
-0.5,
0.5,
-0.5,
0.5,
-0.5,
0.5,
-0.5,
0.5,
0.5,
1,
0.5,
-1,
-0.5,
-0.5,
0.5,
0.5,
1,
1,
2,
0.5,
0.5,
0.5,
1,
-0.16666666666666666,
1.5,
-1.1666666666666665,
1,
1,
0.5,
4,
4,
-0.5,
4.5,
9,
3,
-0.3333333333333333,
-0.3333333333333333
] | 0.970127 | [
0.04189863073806663,
-0.002744068804934087,
-0.021418427119927266,
0.07746452679930428,
-0.2651959433094865,
-0.3495795638101787,
-0.9081232874605003,
1.1085983865872393,
-1.3250371974144388,
-1.0327661562735717,
-1.7856827631827696,
-0.964013346061466,
1.3162671779395185,
0.90181625324650... | {
"n_parameters": 42,
"n_qubits": 13,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 147 |
0cd8bae9f3ba09d5e5d6ac36ba1aa2d4 | 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": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [1, 21], "expectation_value": -7.38249367585583, "params": null, "bitstrings": ["111111110", "111101010"], "total_optimization_steps": 49, "probabilities": [0.11884327468330771, 0.5379672204827636], "optimization_time": 66.68783044815063} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(6)) + 1.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(7)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.0, "smallest_bitstrings": ["111111110", "110101010", "111101010", "110111110"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.23733041828786886) q[0];
ry(-0.6689264302586558) q[1];
rz(-pi) q[1];
h q[2];
ry(-0.6689264302586558) q[3];
rz(-pi) q[3];
h q[4];
ry(-0.20884722359973915) q[5];
rz(-pi) q[5];
h q[6];
ry(0.6665505976609354) q[6];
ry(-0.17228866328763726) q[7];
rz(-pi) q[7];
... | 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] = ... | [
"IIIIIIIZZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIIIIIZZI",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"ZIIIIIZII",
"IIIZIZIII",
"IZIIIZIII",
"IIIZZIIII",
"IIZIZIIII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIZIIIII",
"IIZIIIIII",
"IIIIIIZII",
"... | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
1.75,
-0.25,
-0.25,
-0.5,
-1,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
0.25,
0.5,
0,
-1.25,
0.75,
0,
0.25
] | 0.971887 | [
-1.2073675314355201,
-0.4746608365757377,
1.7310739516609295,
-1.252421001575336,
-1.2953051354342926,
-0.005658193317766055,
1.3331011953218708,
1.4170028832734343,
-0.04560731809502762,
0.09290518136985806,
-0.19555665932058916,
-0.0960487809743433,
-1.7440528144016616,
-0.39572269317097... | {
"n_parameters": 29,
"n_qubits": 9,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 29 |
16a3f0e7912c5ed5cfa032c0d85156ec | 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": 3, "source": 2, "target": 3}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 2, "source": 2, ... | {"states": [127, 63], "expectation_value": -7.573690073039133, "params": null, "bitstrings": ["10000000", "11000000"], "total_optimization_steps": 69, "probabilities": [0.4164851832997924, 0.4167981182531923], "optimization_time": 82.41544938087463} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(1) @ Z(5)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + 1.5 * Z(5) + -0.5 * Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-8.25, -8.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000", "11000000"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.17232329941521132) q[0];
h q[1];
h q[2];
ry(0.7464664516639088) q[2];
h q[3];
ry(0.7464664516639088) q[3];
h q[4];
ry(1.2364204621977426) q[4];
h q[5];
ry(1.4929329033278176) q[5];
cx q[5], q[2];
ry(-0.7464664516639088) q[2];
cx q[5], q[2];
h q[6];
cx q[6],... | 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",
"IIIIZZII",
"IIZIIZII",
"IIZIZIII",
"IZIIIZII",
"IZIIZIII",
"ZIIIIIIZ",
"ZIIIZIII",
"IIZZIIII",
"IZIZIIII",
"IIZIIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIZI"
] | [
-0.25,
-0.75,
-1.5,
-0.5,
-0.5,
-1.75,
0.5,
-0.75,
-0.5,
-0.25,
-1,
0.5,
-0.25,
0.25,
1.5,
-0.5,
-0.25,
-0.25,
-1
] | 0.94919 | [
1.4929329033278176,
1.5802204635152286,
0.8287660673136036,
-0.006786361011339807,
2.472840924395485,
0.34464659883042265,
0.3769747640636233,
-0.4893920067270682,
-0.9833230744965525,
-0.7528240000374548,
-0.06405092881923163,
-2.2431260988694803,
0.6810684091091916,
-0.41384633522050285,... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 500 |
5f46e3caaa931f446d5d37e76f941f6b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6... | {"states": [0, 1], "expectation_value": -10.114807394142757, "params": [[[0.0019, 0.3074], [0.0023, 0.5605], [0.0023, 0.6038], [0.0028, 0.6025], [0.0027, 0.6002000000000001], [0.0034000000000000002, 0.38930000000000003], [0.8081, -0.0013000000000000002]], [[0.0044, 0.0004], [0.0023, 0.001], [0.0023, 0.0082], [0.0028, 0... | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(0)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(5)) + -1.0 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(2)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.5 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-0.05661121897376136) q[0];
h q[1];
ry(-1.604518163982522) q[1];
h q[2];
ry(-1.604518163982522) q[2];
h q[3];
ry(-1.604518163982522) q[3];
h q[4];
ry(-1.604518163982522) q[4];
h q[5];
ry(-1.604518163982522) q[5];
h q[6];
ry(1.5022165539344468) q[6];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIIZ",
"IZIIIZI",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"IIIIZZI",
"IIZIZII",
"IZIIZII",
"IIZZIII",
"ZIIZIII",
"IIIZZII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
-0.75,
-0.25,
-0.75,
-1.25,
2.5,
-0.75,
-0.75,
-1.25,
-1.25,
-1,
-0.25,
-1.25,
-0.75,
-0.25,
-0.5,
0.5,
1.5,
-1,
0.5
] | 0.997589 | [
1.5022165539344468,
-1.604518163982522,
-0.04577876357227252
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 1 |
979e20fa342d097a41a2cd99b004ee1f | 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": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [223, 95], "expectation_value": -2.10190490113627, "params": [0.0026000000000000003, 0.7054, 0.7628, 0.2134, 0.767, 0.2262, 0.9952000000000001, 0.13820000000000002, 0.0021000000000000003, 0.7453000000000001, 1.0037, 0.0073, 1.0015, -0.0027, 0.992, -0.0074, 1.0069000000000001, -0.0037, 1.0053, -0.0032, 0.0026... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(7) @ Z(1)) + 0.125 * (Z(8) @ Z(1)) + 0.125 * (Z(7) @ Z(5)) + 0.125 * (Z(8) @ Z(5)) + ... | 16 | 10 | 2 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.875, "smallest_bitstrings": ["1110100000", "1100100001", "1100100100", "1001100100", "1010100100", "1010100010", "1100101000", "1010110000"], "largest_eigenvalue": 6... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.01639940190324564) q[0];
rz(-0.09112310478793795) q[0];
rx(0.14383958951193995) q[1];
rz(0.3355433591116594) q[1];
cx q[1], q[0];
rz(0.1946470144932977) q[0];
cx q[1], q[0];
rx(-0.016399401903245635) q[0];
rz(-0.5314692985240015) q[0];
rz(0.23933950950538713) q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIZZZI",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIZZZIIII",
"IIIIZIIIZI",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IIZIZIIIII",
"IZIIZIIIII",
"IZZIIIIIII",
"IIZIZIIIZI",
"IZIIZIIIZI",
"IZZIIIIIZI",
"IZZIZIIIII",
"IZZIZIIIZI",
"IIIZIIIZII"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
... | 0.9732 | [
-0.01639940190324564,
0.10352390970535925,
0.14383958951193995,
0.3355433591116594,
0.3078576328110699,
0.5764728574284009,
1.6457984941502548,
-0.10514791409987462,
0.05650991192769124,
0.5532852838672673,
1.2976874841650705,
-0.14977956404263973,
1.2689160166224644,
0.07300354699063141,
... | {
"n_parameters": 54,
"n_qubits": 10,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 44 |
16a3f0e7912c5ed5cfa032c0d85156ec | 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": 2}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 2, "source": 2, ... | {"states": [128, 127], "expectation_value": -0.16647053890558308, "params": [[0.0412, 0.0], [-0.0381, -0.0103]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004384214541291664, 0.0044097904918525554], "optimization_time": 6.732001066207886} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(1) @ Z(5)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + 1.5 * Z(5) + -0.5 * Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-8.25, -8.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000", "11000000"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.17232329941521132) q[0];
h q[1];
h q[2];
ry(0.7464664516639088) q[2];
h q[3];
ry(0.7464664516639088) q[3];
h q[4];
ry(1.2364204621977426) q[4];
h q[5];
ry(1.4929329033278176) q[5];
cx q[5], q[2];
ry(-0.7464664516639088) q[2];
cx q[5], q[2];
h q[6];
cx 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[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIZIIZII",
"IIZIZIII",
"IZIIIZII",
"IZIIZIII",
"ZIIIIIIZ",
"ZIIIZIII",
"IIZZIIII",
"IZIZIIII",
"IIZIIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIZI"
] | [
-0.25,
-0.75,
-1.5,
-0.5,
-0.5,
-1.75,
0.5,
-0.75,
-0.5,
-0.25,
-1,
0.5,
-0.25,
0.25,
1.5,
-0.5,
-0.25,
-0.25,
-1
] | 0.94919 | [
1.4929329033278176,
1.5802204635152286,
0.8287660673136036,
-0.006786361011339807,
2.472840924395485,
0.34464659883042265,
0.3769747640636233,
-0.4893920067270682,
-0.9833230744965525,
-0.7528240000374548,
-0.06405092881923163,
-2.2431260988694803,
0.6810684091091916,
-0.41384633522050285,... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 500 |
67af624551620c14b190ca5216efe361 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [1350, 327], "expectation_value": -41.135687558051174, "params": [[[1.4898, 0.0318], [0.0761, 0.0077], [1.5024000000000002, 1.2975], [0.2457, 1.2547000000000001], [1.5058, 1.5012], [0.2848, 1.499], [-0.33240000000000003, -0.1264], [-1.3774, 1.3784], [1.508, 1.5011], [1.4979, 1.0263], [1.4918, 1.4994]]], "bit... | 8.0 * (Z(0) @ Z(2)) + 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(6) @ Z(8)) + 8.0 * (Z(9) @ Z(1)) + 8.0 * (Z(10) @ Z(5)) + 8.0 * (Z(10) @ Z(9)) + 9.5 * Z(2) + -7.5 * Z(0) + 5.0 * Z(1) + 6.5 * Z(4) + -5.5 * Z(3) + 1.5 * Z(5) + 2.0 * Z(8) + -5.5 * Z(6) + 6.5 * Z(9) + 9.5 * Z(10) + -15.0 * ... | 15 | 11 | 1 | {"smallest_eigenvalues": [-109.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -106.0, "smallest_bitstrings": ["11010111000"], "largest_eigenvalue": 108.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.6807769926051515) q[0];
ry(-1.5621449685831994) q[1];
ry(1.6120456427004168) q[2];
ry(1.489254443925718) q[3];
ry(1.533547108869742) q[4];
ry(1.5717426855668417) q[5];
ry(-1.5927828867151737) q[6];
ry(-1.5108112356287975) q[7];
ry(1.6417989505408177) q[8];
ry(1.55... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIZIZIIIIII",
"IZIIIIIIIZI",
"ZIIIIZIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIIZIIIIII",
"IZIIIIIIIII",
"ZIIIIIIIIII",
"IIIZIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
9.5,
-7.5,
5,
6.5,
-5.5,
1.5,
2,
-5.5,
6.5,
9.5,
-15
] | 0.978813 | [
1.6807769926051515,
-1.5621449685831994,
1.6120456427004168,
1.489254443925718,
1.533547108869742,
1.5717426855668417,
-1.5927828867151737,
-1.5108112356287975,
1.6417989505408177,
1.555862953039029,
1.5474624109356039,
1.5154864591888388,
1.697610115383342,
1.4569847675986636,
1.6220283... | {
"n_parameters": 22,
"n_qubits": 11,
"optimal_eigenvalue": -109,
"target_ratio": 0.97,
"target_value": -105.73
} | 99 |
d576b64149ed4af7fd9893f4ff01f3b9 | 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": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, ... | {"states": [65, 1], "expectation_value": -2.4759388305646026, "params": [[0.0756, 0.077, 0.0784, 0.0736], [-0.07540000000000001, -0.0763, -0.0791, -0.0707]], "bitstrings": ["10111110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.024881904789077057, 0.026409239672467284], "optimization_time": 5.6846... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(3)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + -0.25 * Z(4) + 1.5 * Z(7) + -1.0 * Z(5) + ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["10111110", "11111110"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.06203454328157315) q[0];
rz(1.7887330621738506) q[0];
rx(0.22753164172954793) q[1];
rz(1.5181402961268304) q[1];
rx(-0.16557256063745113) q[2];
rz(1.758778103001907) q[2];
rx(0.0833675557820221) q[3];
rz(1.780349234902019) q[3];
rx(-0.11709564333793254) q[4];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"ZIIIIIIZ",
"IIZIZIII",
"IIZIIIZI",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIIIZI",
"IZIIIIII"
] | [
-0.25,
-0.75,
-0.25,
-0.75,
1.5,
-0.5,
-0.5,
-0.75,
-0.25,
-0.75,
0,
-0.25,
0.25,
-0.25,
1.5,
-1,
0.5,
-0.75
] | 0.971621 | [
0.06203454328157315,
0.21793673537895467,
0.22753164172954798,
-0.05265603066806612,
-0.16557256063745113,
0.18798177620701023,
0.0833675557820221,
0.20955290810712235,
-0.11709564333793253,
0.3585331632266594,
-0.14002182277844039,
0.5406853858436055,
-0.026565483873495943,
0.331897582781... | {
"n_parameters": 86,
"n_qubits": 8,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 8 |
60668963da06e834e19f76557703de50 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [895, 767], "expectation_value": -8.096962523990411, "params": [[-0.056400000000000006, -0.039900000000000005, -0.0317, -0.041], [0.07350000000000001, 0.06330000000000001, 0.0523, 0.059000000000000004]], "bitstrings": ["1110010000000", "1110100000000"], "total_optimization_steps": 10, "probabilities": [0.000... | -0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(12) @ Z(3)) + 0.5 * (Z(7) @ Z(12)) + 0.5 * (Z(8) @ Z(12)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(12)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + 0... | 1 | 13 | 4 | {"smallest_eigenvalues": [-20.5, -20.5, -20.5, -20.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -20.166666666666664, "smallest_bitstrings": ["1110011000001", "1110010000000", "1110101000001", "1110100000000"], "largest_eigenvalue": 44.16666666666667} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.3495795638101787) q[1];
cx q[2], q[1];
rz(1.316267177939518) q[1];
rx(0.9018162532465075) q[1];
rz(1.316267177939518) q[2];
rx(0.9018162532465075) q[2];
cx q[2], q[1];
rz(0.7064898143884604) q[1];
cx q[2], q[1];
rz(0.2181291... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIIIIZIIZ",
"IIIIIIIIZZIII",
"IIIIIIIIZIIIZ",
"IIIIIIIZIZIII",
"IIIIIIIZIIIIZ",
"IIIIIIIZZIIII",
"ZIIIIIIIIZIII",
"ZIIIIZIIIIIII",
"ZIIIZIIIIIIII",
"IIIIZZIIIIIII",
"IIIIIIZIIZIII",
"ZIIIIIZIIIIII",
"IIIIIZZIIIIII",
"IIIIZIZIIIIII",
"IIIZIZIIIIIII",
"IIIZZIIIIIIII",
"IIZIIZIIIII... | [
-0.5,
0.5,
-0.5,
0.5,
-0.5,
0.5,
-0.5,
0.5,
0.5,
1,
0.5,
-1,
-0.5,
-0.5,
0.5,
0.5,
1,
1,
2,
0.5,
0.5,
0.5,
1,
-0.16666666666666666,
1.5,
-1.1666666666666665,
1,
1,
0.5,
4,
4,
-0.5,
4.5,
9,
3,
-0.3333333333333333,
-0.3333333333333333
] | 0.970127 | [
0.04189863073806663,
-0.002744068804934087,
-0.021418427119927266,
0.07746452679930428,
-0.2651959433094865,
-0.3495795638101787,
-0.9081232874605003,
1.1085983865872393,
-1.3250371974144388,
-1.0327661562735717,
-1.7856827631827696,
-0.964013346061466,
1.3162671779395185,
0.90181625324650... | {
"n_parameters": 42,
"n_qubits": 13,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 147 |
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": 11.738260507583618} | 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 | 3 | {"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 |
407a5a03219a9cafdd5b5c6eddb9d22b | 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": [326, 358], "expectation_value": -106.03232937199023, "params": [-0.0035, -0.0026000000000000003, 0.3931, 0.3941, -0.019100000000000002, -0.016900000000000002, 0.40130000000000005, 0.4025, 0.28800000000000003, 0.2939, 0.0828, 0.0848, 0.0005, -0.0077, 0.3926, 0.3997, 0.3919, 0.3919, -0.015700000000000002, -0.... | 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(9) @ Z(7)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(8) @ Z(9)) + 1.0 * Z(2) + 21.5 * Z(1) + 20.0 * ... | 13 | 10 | 4 | {"smallest_eigenvalues": [-109.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -105.5, "smallest_bitstrings": ["1010011001"], "largest_eigenvalue": 212.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.024494028914762864) q[0];
rz(-0.19298120792240459) q[0];
ry(0.5132753324807896) q[1];
ry(0.16323778813199513) q[2];
ry(0.41626128439551413) q[3];
ry(0.13784646265329456) q[4];
ry(-0.09335674490806925) q[5];
ry(-0.015973880218880694) q[6];
ry(0.2694348338527025) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIIIZIZIII",
"IIIIZZIIII",
"IIZIIIIIZI",
"IIZIIZIIII",
"ZIZIIIIIII",
"IZIIIIZIII",
"IZIIZIIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"ZIIIIIIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
1,
21.5,
20,
12.5,
10.5,
22.5,
1,
22.5,
-8.5,
-8
] | 0.973141 | [
-0.024494028914762864,
0.5132753324807896,
0.16323778813199513,
0.41626128439551413,
0.13784646265329456,
-0.09335674490806925,
-0.015973880218880694,
0.2694348338527025,
0.337869304564849,
-0.04502267645184946,
-0.38596241584480917,
0.0746197658917738,
0.19518855617138223,
0.3655562542012... | {
"n_parameters": 154,
"n_qubits": 10,
"optimal_eigenvalue": -109.5,
"target_ratio": 0.97,
"target_value": -106.215
} | 3 |
6e68ff51ea4cc328f2a9ab8990a6b7b1 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [142, 143], "expectation_value": -74.62869356407269, "params": [[[0.9886, 0.0017000000000000001], [0.0022, 0.007], [0.9937, 0.6960000000000001], [0.0179, 0.7388], [-0.1928, 0.22080000000000002], [0.0213, 0.5235000000000001], [0.0852, 0.9816], [0.0151, 0.9937], [0.9620000000000001, 0.9353], [0.818900000000000... | 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(0) @ Z(6)) + 7.5 * (Z(5) @ Z(2)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(8) @ Z(0)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(7) @ Z(5)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(4) @ Z(9)) + -5.0 * Z(1) + 15.0 * Z(2) + 15.5 * Z(6) + 1.0 * Z(0) + 11.0 * Z(5) + 13.5 * Z(8) + 15.5 * Z(7) + -0.... | 15 | 10 | 3 | {"smallest_eigenvalues": [-97.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -89.5, "smallest_bitstrings": ["1101110000"], "largest_eigenvalue": 157.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.5591534730618042) q[0];
ry(-0.0004565117018082987) q[1];
ry(1.6008224691695017) q[2];
ry(0.0156413954839485) q[3];
ry(0.4018349992133133) q[4];
ry(0.10848166837999089) q[5];
ry(-0.8342946990301519) q[6];
ry(0.14739833803612448) q[7];
ry(0.7138808103767237) 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] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIZIIIIIZ",
"IIIIZIIZII",
"IIIZZIIIII",
"IZIZIIIIII",
"IZIIIIIIIZ",
"IIZIIIIZII",
"IIZIZIIIII",
"IZZIIIIIII",
"ZIIIIZIIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIZIIIIII",
"IIIIIIIIIZ",
"IIIIZIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IIIIIZIIII",
"IIIIIIZIII"... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
-5,
15,
15.5,
1,
11,
13.5,
15.5,
-0.5,
-4.5,
-11
] | 0.970944 | [
1.5591534730618042,
-0.0004565117018082987,
1.6008224691695017,
0.0156413954839485,
0.4018349992133133,
0.10848166837999089,
-0.8342946990301519,
0.14739833803612448,
0.7138808103767237,
1.1440031460107665,
-0.12904275888676148,
-0.15333749742351632,
0.7700871729955385,
0.8263567584065389,... | {
"n_parameters": 59,
"n_qubits": 10,
"optimal_eigenvalue": -97.5,
"target_ratio": 0.97,
"target_value": -94.575
} | 57 |
1709095136500400550 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 4, 7], [0, 1, 2, 3, 7, 8], [1, 2, 4, 5, 6, 7], [2, 5, 6, 7, 8], [1, 3, 4, 5, 7, 8], [0, 1, 3, 5, 6, 8], [0, 1, 2, 4], [0, 1, 2, 6], [0, 1, 4, 6, 7, 8], [0, 2, 5], [1, 2, 3, 6, 8]]} | {"states": [399, 430], "expectation_value": -2.339051247569687, "params": null, "bitstrings": ["001110000", "001010001"], "total_optimization_steps": 51, "probabilities": [0.023413655866392297, 0.904207125019476], "optimization_time": 118.60204744338989} | 0.15 * (Z(0) @ Z(3)) + 0.11666666666666667 * (Z(4) @ Z(3)) + 0.19999999999999998 * (Z(4) @ Z(0)) + 0.15 * (Z(7) @ Z(3)) + 0.15 * (Z(7) @ Z(0)) + 0.18333333333333332 * (Z(7) @ Z(4)) + 0.15000000000000002 * (Z(1) @ Z(3)) + 0.26666666666666666 * (Z(1) @ Z(0)) + 0.18333333333333332 * (Z(1) @ Z(4)) + 0.13333333333333333 * (... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.3666666666666663], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.283333333333333, "smallest_bitstrings": ["001010001"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-1.0236036826127845e-07) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(2.3724364850825747e-08) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-1.0916159888516549e-07) q[4];
cx q[0], q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[7];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5547) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIZIIIZ",
"IZIIIZIII",
"IZIIIIIIZ",
"IZIIZIIII",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIZIIZI",
"IZIIIIIZI",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIIZIZII",
"IZIIIIZII",
"IIIIIIZZI",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"ZZIIIIIII",
"ZIIIIIIZI",
"ZIIIIIZII",
"... | [
0.15,
0.11666666666666667,
0.19999999999999998,
0.15,
0.15,
0.18333333333333332,
0.15000000000000002,
0.26666666666666666,
0.18333333333333332,
0.13333333333333333,
0.08333333333333334,
0.3666666666666667,
0.11666666666666667,
0.11666666666666667,
0.2833333333333333,
0.1500000000000000... | 0.950704 | [
-1.0236036826127845e-7,
2.3724364850825747e-8,
-1.0916159888516549e-7,
8.489561085339698e-8,
-3.414592716202747e-8,
-2.15724127197028e-8,
2.8297431278999233e-8,
-7.915394938174769e-8,
2.2740749540557026e-8,
7.76863455054809e-8,
-2.0221689992069093e-8,
5.397208685795263e-8,
6.247081631941256e... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -2.3666666666666663,
"target_ratio": 0.97,
"target_value": -2.295666666666666
} | 500 |
cd168b9dfe6f067036c4fe2db7911cf9 | 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": 5, "target": 6}, {"sour... | {"states": [255, 254], "expectation_value": -0.4925894206499888, "params": [[0.08], [-0.08170000000000001]], "bitstrings": ["00000000", "00000001"], "total_optimization_steps": 10, "probabilities": [0.005650724252938011, 0.005799532689740064], "optimization_time": 1.5593819618225098} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + 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 | 8 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["00000001"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.5802789312613281) q[0];
h q[1];
cx q[1], q[0];
ry(-1.5802789312613281) q[0];
cx q[1], q[0];
ry(1.5268063039639994) q[1];
cx q[0], q[1];
ry(-1.5268063039639994) q[1];
cx q[0], q[1];
h q[2];
h q[3];
ry(1.5802789312613281) q[3];
cx q[2], q[3];
ry(-1.5802789312... | 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[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[5], q... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIZZIIII",
"IZZIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
-1,
-1,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.972111 | [
1.9892431655151501,
0.7142516062950035,
0.8755641450907768,
1.0814906968595992,
3.1605578625226562,
3.053612607927999,
0.8750917081025122,
-3.3511950582096617,
-0.007979740898543579,
0.048044262639782905,
2.4031240840806913,
0.036474475075901486,
0.12272067719971122,
-0.7350906497724697,
... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 196 |
-7592907852367266095 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4], [1, 7], [0, 3], [4, 5], [4, 7], [1, 3], [0, 7], [0, 5], [1, 5], [2, 4], [2, 6], [2, 3], [4, 6], [3, 4]]} | {"states": [23, 232], "expectation_value": -0.0760778327883583, "params": [[-0.0473], [0.058300000000000005]], "bitstrings": ["11101000", "00010111"], "total_optimization_steps": 10, "probabilities": [0.0043475633070702725, 0.0043475633070702725], "optimization_time": 0.7035632133483887} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(4) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["00010111", "11101000"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.5266310919584748) q[0];
cx q[4], q[0];
h q[5];
h q[6];
h q[7];
cx q[4], q[7];
rz(-0.5266310919584748) q[7];
cx q[4], q[7];
cx q[0], q[7];
cx q[4], q[3];
rz(-0.5266310919584748) q[3];
cx q[4], q[3];
cx q[4], q[... | 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[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[7];
rz(x0) q[7];
cx q[4], q[7];
cx q[0], q[7];
rz(x0) q[7];
cx q[0], q[7];
cx q[7]... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"ZIIZIIII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIZZIII",
"IIIIZIIZ",
"IIIIZIZI",
"IIZZIIII",
"IIZIIIIZ",
"IIZIIIZI",
"IIIZIZII",
"IIIIZZII",
"IZIZIIII",
"IZIIIZII",
"IIIZIIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.38134 | [
-0.5266310919584748,
4.8933598273202355e-8,
0.6800196854615808
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 97 |
ad7ba83290870f78ee39f06faaa6d5c0 | 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": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [0, 127], "expectation_value": -1.5789953273933186, "params": [[-0.059800000000000006, -0.0663, -0.0403, 0.0098], [0.0709, 0.07980000000000001, 0.07150000000000001, 0.042100000000000005]], "bitstrings": ["11111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.010427686320902003, 0.010929... | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(7)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(6)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["10000000", "10000110", "10000010"], "largest_eigenvalue": 7.5} | 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(-0.034844011332879614) q[0];
cx q[3], q[0];
h q[4];
cx q[0], q[4];
rz(-0.034844011332879614) q[4];
cx q[0], q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[7];
rz(0.021220240325448322) q[7];
cx q[3], q[7];
cx q[0], q[7];
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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZIIIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIZIZI",
"IIIZIIZI",
"ZIIIIIZI",
"IIIIZZII",
"ZIIIIZII",
"IIIIIZZI",
"IIZIZIII",
"IIZIIZII",
"IZZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.25,
-0.25,
-0.75,
0.75,
-0.5,
-0.5,
-0.25,
-0.25,
-1,
-0.25,
-0.5,
-0.75,
-0.75,
-0.25,
1.25,
-0.25,
0,
-1,
1,
0.5,
-1.25,
-0.25
] | 0.970653 | [
-0.034844011332879614,
0.021220240325448322,
4.14081704613734,
-0.02836829097701573,
0.9928839988256033,
-0.7241766421867887,
-0.8495874140952102,
-0.37261573279980825,
-0.7361582307300965,
-0.4162496087713253,
1.820243699490485,
-0.0028210601597248794,
-0.22590816858116236,
0.543504316292... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 461 |
fcc8a2921ff598fbb522ec0e0e4e8951 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}, {"id": 15}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"sourc... | {"states": [0, 32512], "expectation_value": -73.62856241715703, "params": [[[0.0023, 0.0028], [0.0025, 0.0082], [0.0026000000000000003, 0.0097], [0.0023, 0.0002], [0.0027, 0.006900000000000001], [0.0022, 0.007], [1.6078000000000001, 0.00030000000000000003], [0.0029000000000000002, 0.0056], [0.0022, 0.004800000000000000... | -3.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -3.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + -3.0 * (Z(6) @ Z(0)) + -2.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + -2.5 ... | 2 | 15 | 1 | {"smallest_eigenvalues": [-76.99999999999929], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.99999999999967, "smallest_bitstrings": ["000000011111111"], "largest_eigenvalue": 68.99999999999982} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(-0.008421175103989962) q[0];
rz(0.09479020244433294) q[0];
rx(-0.06432361398891107) q[1];
rz(0.31100767346909397) q[1];
rx(0.055341475052482325) q[2];
rz(0.01849617260029332) q[2];
rx(-0.008421175103989962) q[3];
rz(0.20371679177855134) q[3];
rx(0.01691161835256626)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIIIZIIZI",
"IIIIIIIIIIZIIIZ",
"IIIIIIIIIIZIZII",
"IIIIIIIIIZIIIZI",
"IIIIIIIIIZIIIIZ",
"IIIIIIIIIZIIZII",
"IIIIIIIIIZZIIII",
"IIIIIIIIZIIIIZI",
"IIIIIIIIZIIIIIZ",
"IIIIIIIIZIIIZII",
"IIIIIIIIZIZIIII",
"IIIIIIIIZZIIIII",
"... | [
-3,
0.5,
-3.5,
0.5,
-3,
0.5,
0.5,
-3.5,
-2.5,
0.5,
0.5,
-3,
-2.5,
0.5,
-2.5,
1,
-2.5,
-2.5,
1,
-4,
-4,
-2.5,
-4.5,
1,
-3.5,
-4.5,
1,
1.5,
-3.5,
1.5,
0.5,
-3,
-3,
-4.5,
1,
1,
1.5,
-3,
-3,
-4,
1,
1,
0.5,
1,
1,
0.5,
0.5,
0.5,... | 0.974153 | [
-0.008421175103989962,
0.09479020244433294,
-0.06432361398891107,
0.31100767346909397,
0.055341475052482325,
0.01849617260029332,
0.20371679177855134,
0.01691161835256626,
-0.1132939961225142,
-0.08371121820522406,
-0.0684494488048816,
2.1091170249970745,
-0.025815657078109552,
-0.09825188... | {
"n_parameters": 21,
"n_qubits": 15,
"optimal_eigenvalue": -76.99999999999929,
"target_ratio": 0.97,
"target_value": -74.68999999999932
} | 7 |
317807697856992497 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4, 7], [0, 2, 3, 5], [1, 2, 3, 6, 7], [1, 3, 4, 6, 7], [1, 2, 5], [0, 4, 5]]} | {"states": [250, 248], "expectation_value": -0.9299593641322558, "params": [2.601, 0.0088, 2.6515, 0.006200000000000001, 1.8803, 0.0085, 2.6418, 0.0048000000000000004, 2.6549, 0.0061, 1.5499, 0.0047, 1.5626, 0.0091, 1.5225, 0.0023, 0.0088, 0.009000000000000001, 0.006500000000000001, 0.0032, 0.005200000000000001, 0.0, 0... | 0.3333333333333333 * (Z(0) @ Z(4)) + 0.21666666666666667 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.05 * (Z(2) @ Z(7)) + 0.05 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.1 * (Z(3) @ Z(7)) + 0.13333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(... | 3 | 8 | 1 | {"smallest_eigenvalues": [-1.6500000000000006], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6500000000000001, "smallest_bitstrings": ["00000111"], "largest_eigenvalue": 5.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-2.970572390346803) q[0];
rz(0.27262751489635484) q[0];
rx(-3.026808708032723) q[1];
rz(-0.0520474692400672) q[1];
rx(2.926761145245223) q[2];
rz(0.3687729536514581) q[2];
rx(3.0960162725640625) q[3];
rz(-1.0038000816837984) q[3];
rx(-2.933283838198896) q[4];
rz(0.18... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"ZIIZIIII",
"ZIIIIIIZ",
"IIIIIZIZ",
"ZIIIIZII",
"IIIZZIII",
"IIIIZIIZ",
"ZIIIZIII",
"IIIIZZII",
"IIZZIIII",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIIZIIZI",
"ZIIIIIZI",
"IIIIIZZI",
"IIIIZIZI",
"IIZIIIZI",
"IZIZIIII",
"ZZIIIIII",
"IZIIIZII",
"IZIIZIII",
"IZIIIIZ... | [
0.3333333333333333,
0.21666666666666667,
0.16666666666666666,
0.08333333333333333,
0.05,
0.05,
0.08333333333333333,
0.1,
0.13333333333333333,
0.16666666666666666,
0.25,
0.25,
0.08333333333333333,
0.05,
0.1,
0.21666666666666667,
0.1,
0.16666666666666666,
0.05,
0.1,
0.05,
0.1... | 0.983303 | [
3.3126129168327836,
0.1817516765975698,
3.2563765991468636,
0.11467789574213239,
2.926761145245223,
0.23307977003824176,
3.0960162725640625,
-0.7471030743414682,
3.3499014689806907,
0.5618120201995851,
0.15278549126034432,
-0.20192788892403113,
1.4227064723198832,
-0.02815006334351457,
-... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -1.6500000000000006,
"target_ratio": 0.97,
"target_value": -1.6005000000000005
} | 17 |
76a4494118aeff0994d4aebdc23cfd42 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [1111, 1109], "expectation_value": -47.83215963069168, "params": [1.0091, 0.0019, 0.7151000000000001, 0.35810000000000003, 0.0026000000000000003, 0.6016, 0.742, 0.3199, 0.997, 0.2599, 0.0037, 0.5247, 1.0050000000000001, 0.1173, -0.016800000000000002, 0.5561, 0.9968, 0.1925, 0.7946000000000001, 0.236700000000... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(2) @ Z(0)) + 8.0 * (Z(4) @ Z(1)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(8) @ Z(6)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(9) @ Z(6)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(10) @ Z(3)) + 10.0 * Z(0) + 1.5 * Z(1) + -7.0 * Z(2) + 6.5 * Z(4) + 1.5 * Z(3) + 13.5 * Z(6) + -5.5 * Z(5) + 15.0... | 16 | 11 | 2 | {"smallest_eigenvalues": [-121.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -105.5, "smallest_bitstrings": ["01110101010"], "largest_eigenvalue": 115.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.669927499488817) q[0];
rz(-0.055997660920968695) q[0];
rx(0.4850593485159618) q[1];
rz(0.6089771589039874) q[1];
cx q[1], q[0];
rz(0.1039367032658035) q[0];
cx q[1], q[0];
rx(1.3580991734604875) q[0];
rz(0.08552157508962122) q[0];
rz(-0.6991818983261271) q[1];
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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIZIIZI",
"IIIIIIZZIII",
"IIIIZZIIIII",
"IIZIZIIIIII",
"IIZZIIIIIII",
"IZIIZIIIIII",
"IZZIIIIIIII",
"ZIIIIIIZIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
10,
1.5,
-7,
6.5,
1.5,
13.5,
-5.5,
15,
-5,
3.5,
1.5
] | 0.975429 | [
1.6699274994888167,
0.04793904234483501,
0.4850593485159618,
0.6089771589039874,
-0.056642190476699855,
0.850557340807894,
0.2503324578693535,
0.44482095684810957,
1.7464033578378366,
0.6269149345347094,
0.03890883393022613,
0.29121005502663944,
2.075059516081454,
0.1280613692883783,
0.0... | {
"n_parameters": 62,
"n_qubits": 11,
"optimal_eigenvalue": -121.5,
"target_ratio": 0.97,
"target_value": -117.85499999999999
} | 42 |
5dad688a93671469362a3d3d00961b05 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 3}]} | {"states": [20, 11], "expectation_value": -0.48323285254462145, "params": [[0.064, 0.0646, 0.0438, 0.0776], [-0.0695, -0.06770000000000001, -0.034800000000000005, -0.0553]], "bitstrings": ["01011", "10100"], "total_optimization_steps": 10, "probabilities": [0.04950360839386066, 0.05292164637132376], "optimization_time"... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(2) + 0.0 * Z(3) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["10100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(1.054375204004865) q[0];
ry(1.2513372356561656) q[1];
ry(0.2824769594172304) q[2];
ry(1.4848254273950985) q[3];
ry(1.7704547616171795) q[4];
ry(-0.13250446412763625) q[5];
ry(-0.49590506331342876) q[6];
ry(1.052494121858556) q[7];
ry(0.7429880399328006) q[8];
ry(0.4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIZZ",
"ZIIIZ",
"IIZZI",
"ZIZII",
"IZZII",
"IIIZI",
"IIIIZ",
"ZIIII",
"IIZII",
"IZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-1,
0
] | 0.975061 | [
1.054375204004865,
1.2513372356561656,
0.2824769594172304,
1.4848254273950985,
1.7704547616171795,
-0.13250446412763625,
-0.49590506331342876,
1.052494121858556,
0.7429880399328006,
0.41317392976743855,
2.5434800341621466,
1.571476038864509,
1.6619437044267633,
0.026188563071984666,
1.62... | {
"n_parameters": 45,
"n_qubits": 15,
"optimal_eigenvalue": -8.749999999999972,
"target_ratio": 0.97,
"target_value": -8.487499999999972
} | 53 |
cde6b48ed870286595c1455af7aff8bd | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [84, 85], "expectation_value": -0.8361250813172345, "params": [[[0.2722, -0.0005, 0.0038, 0.0079], [0.3433, -0.0012000000000000001, 0.35200000000000004, 0.0007], [0.0317, 0.0131, 0.0083, 0.019200000000000002], [0.34590000000000004, -0.0024000000000000002, 0.3522, 0.0046], [0.0358, 0.0143, 0.0064, 0.013800000... | 0.25 * (Z(0) @ Z(1)) + 0.0006944444444444445 * (Z(2) @ Z(0)) + 0.0006944444444444445 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0020833333333333333 * (Z(4) @ Z(0)) + -0.0020833333333333333 * (Z(4) @ Z(2)) + -0.0020833333333333333 * (Z(5) @ Z(1)) + -0.0020833333333333333 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00069... | 12 | 8 | 3 | {"smallest_eigenvalues": [-1.0083333333333333, -1.0083333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0055555555555555, "smallest_bitstrings": ["10101010", "01010101"], "largest_eigenvalue": 1.0250000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIIIZ",
"IZIIIZII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
0.25,
0.0006944444444444445,
0.0006944444444444445,
0.25,
-0.0020833333333333333,
-0.0020833333333333333,
-0.0020833333333333333,
-0.0020833333333333333,
0.25,
0.0006944444444444445,
0.0006944444444444445,
-0.0020833333333333333,
0.0006944444444444445,
0.0006944444444444445,
-0.002083333... | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
5a8eac0760a558d4174437be478ec0aa | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [0, 8], "expectation_value": -2.0036641197131626, "params": [1.6503, 0.0022, 1.4783000000000002, 0.0032, -0.0029000000000000002, 0.0022, -0.0023, 0.009000000000000001, 0.0045000000000000005, 0.0061, 0.009000000000000001, 0.001], "bitstrings": ["1111", "0111"], "total_optimization_steps": 170, "probabilities"... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) | 18 | 4 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["1011", "0111"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.82536574049687) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.24273634073259914) q[1];
h q[2];
h q[3];
ry(-0.24273634073259914) q[3];
cx q[2], q[3];
ry(0.24273634073259914) q[3];
cx q[2], q[3];
ry(1.300380278656536) q[2];
ry(-0.845563361950822) q[3];
h q[4];
cx q[4], q[1];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | null | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZIZ",
"ZIZI",
"IIIZ",
"IIZI",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1,
-1
] | 0.972605 | [
-1.0824548785035621,
-0.4854726814651983,
1.0253922282774464,
-0.6950111735231073,
0.549976100758179,
0.49856702161642463,
-0.5677464941140427,
-0.3011043768554298,
0.6740485844110712,
1.8584456786071313,
-0.3550392547384828,
-0.049666130392177224,
0.1283809090165161,
0.14940958954842865,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
d081b5ece414d97b04408b0b42241cfc | max_flow | 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": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [1615, 1551], "expectation_value": -15.406135227680391, "params": [0.786, 0.0083, 0.7877000000000001, 0.029400000000000003, 0.1671, 0.4113, 0.18130000000000002, 0.3992, -0.3758, 0.29050000000000004, 0.0025, 0.6184000000000001, 0.0019, 0.4948, 0.7837000000000001, 0.002, 0.7857000000000001, 0.0022, 0.777400000... | 0.375 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.375 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(8)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(8)) + -... | 18 | 11 | 4 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["00111110000"], "largest_eigenvalue": 36.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.5886822951887793) q[0];
rz(0.06203987904640096) q[0];
rx(0.3684099261178423) q[1];
rz(0.3348218640846716) q[1];
rx(0.008886848508656647) q[2];
rz(0.15365930854882714) q[2];
rx(0.2789766364531309) q[3];
rz(-0.20477518601672084) q[3];
rx(0.030111471164943775) 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... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIZIIIIZII",
"IIZZIIIIIII",
"IIZIIIIIZII",
"IIIZIIIZIII",
"IIIIIIIZZII",
"IIZIIIIZIII",
"IIIZIIZIIII",
"IIIIIIZIZII",
"IIZIIIZIIII",
"IIIIIIZZIII",
"IIIZIZIIIII",
"IIIIIZIIZII",
"IIZIIZIIIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IZIZIIIIIII",
"IZZIIIIIIII",
"IZIIIIZII... | [
0.375,
0.5,
1,
0.5,
0.5,
0.375,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
2,
-0.5,
-0.5,
-1,
0.75,
0.75,
3.5,
0.75,
3.5,
0.75,
0.5,
-1,
4,
8,
-1.5
] | 0.973976 | [
0.5886822951887795,
0.08596177347016964,
0.36840992611784235,
0.15047685235525898,
0.008886848508656647,
0.2981601685176529,
0.27897663645313087,
-0.05594064637820155,
0.03011147116494378,
-0.003248166825648227,
-0.012056173888535658,
-0.17191262332465457,
0.08692174155409721,
-0.351149555... | {
"n_parameters": 153,
"n_qubits": 11,
"optimal_eigenvalue": -16.25,
"target_ratio": 0.97,
"target_value": -15.7625
} | 12 |
7e25bc80cdf895181c3cb661afbef0b1 | 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}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 5, "ta... | {"states": [124, 127], "expectation_value": -9.236793419797376, "params": null, "bitstrings": ["0000011", "0000000"], "total_optimization_steps": 83, "probabilities": [0.11591687318930628, 0.5398128545306233], "optimization_time": 96.24992513656616} | -2.0 * (Z(0) @ Z(2)) + 1.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -2.0 * (Z(3) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(1) + 0.5 * Z(3) + 1.0 * Z(6) + -1.0 * Z(5) | 5 | 7 | 1 | {"smallest_eigenvalues": [-12.0, -12.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.0, "smallest_bitstrings": ["0000000", "0000011"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.017476947906633025) q[0];
h q[1];
ry(-0.017476947906633025) q[1];
h q[2];
cx q[2], q[0];
ry(0.017476947906633025) q[0];
cx q[2], q[0];
ry(1.4420336088757544) q[0];
ry(1.0582024825935825) q[2];
cx q[0], q[2];
ry(-0.44225595418592595) q[2];
cx q[0], q[2];
h ... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5708) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... | [
"IIIIZIZ",
"IIZIZII",
"IIZIIIZ",
"IIIIZZI",
"IIIIIZZ",
"IIZIIZI",
"IIIZZII",
"IIZZIII",
"IIIZIZI",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IZIIIII"
] | [
-2,
1,
-2,
-2.5,
1,
-2.5,
0.5,
0.5,
-2,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.975588 | [
-0.03495389581326605,
1.221876092305446,
0.6159465284076566,
1.7892887981254249,
1.4420336088757544,
2.120937764266375,
0.5457315952685766,
0.8845119083718519,
0.18980440480586566,
0.19334068844138372,
1.32879701812558,
0.7149079133849797,
0.33121195677480897,
0.8051287289711053,
-1.2026... | {
"n_parameters": 41,
"n_qubits": 7,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 48 |
-5657510331550772443 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 7], [0, 3, 5], [0, 1], [5, 6, 7], [3, 4, 6], [2, 3], [2, 4], [0, 5, 7], [2, 6, 7]]} | {"states": [166, 93], "expectation_value": -0.004255527908848221, "params": [[-0.0158], [0.015700000000000002]], "bitstrings": ["01011001", "10100010"], "total_optimization_steps": 10, "probabilities": [0.003927014532347845, 0.003928321037485169], "optimization_time": 15.414408683776855} | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(5) @ Z(7)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.16666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.1666666666666656], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8333333333333344, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 7.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.01789417482296862) q[1];
cx q[2], q[1];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[7];
rz(-0.24664107306356448) q[7];
cx q[2], q[7];
cx q[1], q[7];
cx q[2], q[3];
rz(-1.1338875184477608) q[3];
cx q[2], 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;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[7];
rz(x1) q[7];
cx q[2], q[7];
cx q[1], q... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"ZIIIIZII",
"ZIIIIIZI",
"IIIIIIZZ",
"ZIIIIIIZ",
"IIIIZZII",
"IIIIZIIZ",
"ZIZIIIII",
"IIZIIIIZ",
"IIZIZIII",
"IZIIIZII",
"ZZIIIIII",
"IZIIZIII",
"IZZIIIII",
"IIIZIZII",
"IIIZZIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIZI",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIII... | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
... | 0.575084 | [
0.01789417482296862,
-0.24664107306356448,
-1.1338875184477608,
-0.8506790618586308,
0.8262082625837507
] | {
"n_parameters": 5,
"n_qubits": 8,
"optimal_eigenvalue": -3.1666666666666656,
"target_ratio": 0.97,
"target_value": -3.0716666666666654
} | 158 |
9087426844362010195 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[3, 4, 6], [0, 1, 4, 6, 7], [8, 1, 7], [2, 4, 6, 7, 8, 9], [8, 3, 5, 6], [0, 2, 3, 4, 8, 9], [0, 9, 3, 7], [0, 2, 3, 4, 5, 8], [10, 7]]} | {"states": [206, 1230], "expectation_value": -1.6991448992285962, "params": [1.5805, 0.0038, 1.3812, 0.0009000000000000001, 0.37420000000000003, 0.0022, 2.7318000000000002, 0.009300000000000001, 2.7416, 0.0025, 1.4543000000000001, 0.0095, 1.4469, 0.0037, 2.5451, 0.0015, 2.8034000000000003, 0.004200000000000001, 2.72530... | 0.2333333333333333 * (Z(4) @ Z(5)) + 0.25 * (Z(7) @ Z(5)) + 0.25 * (Z(7) @ Z(4)) + 0.11666666666666667 * (Z(0) @ Z(5)) + 0.15 * (Z(0) @ Z(4)) + 0.05 * (Z(0) @ Z(7)) + 0.05 * (Z(1) @ Z(5)) + 0.05 * (Z(1) @ Z(7)) + 0.05 * (Z(1) @ Z(0)) + 0.08333333333333334 * (Z(8) @ Z(5)) + 0.08333333333333333 * (Z(8) @ Z(4)) + 0.083333... | 3 | 11 | 1 | {"smallest_eigenvalues": [-2.4666666666666663], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.433333333333334, "smallest_bitstrings": ["01100110001"], "largest_eigenvalue": 8.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(2.690556311833268) q[0];
rz(-0.3480308227212543) q[0];
rx(0.14143320868697976) q[1];
rz(-0.5170618578224184) q[1];
rx(-0.061328906257218575) q[2];
rz(0.10220377929239532) q[2];
rx(2.889477681629208) q[3];
rz(-0.2029493026955551) q[3];
rx(3.0751822225547283) 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": []} | [
"IIIIIZZIIII",
"IIIZIZIIIII",
"IIIZIIZIIII",
"IIIIIZIIIIZ",
"IIIIIIZIIIZ",
"IIIZIIIIIIZ",
"IIIIIZIIIZI",
"IIIZIIIIIZI",
"IIIIIIIIIZZ",
"IIZIIZIIIII",
"IIZIIIZIIII",
"IIZZIIIIIII",
"IIZIIIIIIIZ",
"IIZIIIIIIZI",
"IZIIIZIIIII",
"IZIIIIZIIII",
"IZIZIIIIIII",
"IZIIIIIIIIZ",
"IZIIIIIII... | [
0.2333333333333333,
0.25,
0.25,
0.11666666666666667,
0.15,
0.05,
0.05,
0.05,
0.05,
0.08333333333333334,
0.08333333333333333,
0.08333333333333334,
0.13333333333333333,
0.21666666666666667,
0.1,
0.15,
0.11666666666666667,
0.06666666666666667,
0.16666666666666666,
0.19999999999999... | 0.975511 | [
2.690556311833268,
-0.25380877060383356,
0.14143320868697978,
-0.5554531713120918,
-0.06132890625721857,
-0.18920771422003835,
2.889477681629208,
-0.1371493714499692,
3.0751822225547283,
-0.3251707492028941,
0.39861987645387653,
0.62251133258169,
0.03427312191496118,
0.27316058688012235,
... | {
"n_parameters": 31,
"n_qubits": 11,
"optimal_eigenvalue": -2.4666666666666663,
"target_ratio": 0.97,
"target_value": -2.3926666666666665
} | 16 |
58fa04385078dcdc0b5f9361c481400a | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [174, 206], "expectation_value": -1.9093767458551345, "params": null, "bitstrings": ["01010001", "00110001"], "total_optimization_steps": 58, "probabilities": [0.08401115856030354, 0.7713980463996462], "optimization_time": 109.00370287895203} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(4)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -1.125, "smallest_bitstrings": ["00110010", "01000110", "01010001", "01110000", "10001001", "01010100",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.47101618974758475) q[0];
rz(-0.16827364835461855) q[0];
rx(0.48551343822356186) q[1];
rz(0.17804732572877252) q[1];
rx(0.32539434813691376) q[2];
rz(0.5457656730524693) q[2];
rx(-0.21683998807139754) q[3];
rz(0.30031640895019224) q[3];
rx(1.2220557292476708) q[4];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-0.5926) q[6], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIZZZIII",
"IIIIZIIZ",
"IZIIIIIZ",
"IZIIZIII",
"IZIIZIIZ",
"IIIZIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IZIZIIII",
"ZIIZIIII",
"ZZIIIIII",
"IZIZIIZI",
"ZIIZIIZI",
"ZZIIIIZI",
"ZZIZIIII",
"ZZIZIIZ... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0,
0.125,
0,
0,
0.125,
0,
0.125,
0.125
] | 0.971822 | [
0.4710161897475848,
-0.09099105680982872,
0.48551343822356186,
0.17804732572877252,
0.32539434813691376,
0.5457656730524693,
-0.21683998807139754,
0.30031640895019224,
1.2220557292476708,
0.00816620436411572,
0.6463337616946943,
0.03026562494828463,
0.5393888844458095,
-0.2593316846640103,... | {
"n_parameters": 71,
"n_qubits": 8,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 45 |
28550855a20366800e3fd917bf6489e0 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [0, 1], "expectation_value": -4.769063324451827, "params": [[[0.0033, 0.006900000000000001], [0.0023, 0.0027], [0.0025, 0.0009000000000000001], [0.0026000000000000003, 0.009300000000000001], [0.0027, 0.0067], [0.0022, 0.007200000000000001], [0.0026000000000000003, 0.0018000000000000002], [1.609, 0.0002]]], "... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000", "11111110", "11100110", "11101110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.15216926898181918) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.15216926898181918) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.05788856062893183) q[5];
cx q[0], q[5];
cx q[2], q[5];
rz(0.15216926898181918) q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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",
"IIIIIZIZ",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IZIIIZII",
"IZZIIIII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZZIIIIII",
"ZIIIZIII",
"IIIZIIZI",
"IIZZIIII",
"IZIZIIII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZIII",
"IIIZIII... | [
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.75,
1.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
0,
-0.25,
0.25,
0,
-0.75,
0.25,
0,
0.5
] | 0.970246 | [
0.15216926898181918,
0.05788856062893183,
-0.39706471093018897,
-0.4983538334088068,
-0.6196842796802551,
-0.8562234492096112,
-0.7118375263136241,
1.5192229975930538,
0.31351551366482816,
0.21708871535439847,
-0.41629988721034344,
-1.1950335447601863,
-0.3996149728763092,
-0.3579384860504... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 333 |
681317cce116b7c317d2d1166a0937e1 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [112, 81], "expectation_value": -0.12455059224671944, "params": [[-0.049600000000000005], [0.0656]], "bitstrings": ["0001111", "0101110"], "total_optimization_steps": 10, "probabilities": [0.008485727928386201, 0.008585157617030752], "optimization_time": 2.245770215988159} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -1.0 * Z(5) + -0.5 * Z(6) + 0.0 * Z(1) + -1.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["0001111", "0101110", "1010101", "1010011"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.2653211005769242) q[0];
cx q[3], q[0];
h q[4];
cx q[0], q[4];
rz(-0.2653211005769242) q[4];
cx q[0], q[4];
h q[5];
cx q[0], q[5];
rz(-0.2653211005769242) q[5];
cx q[0], q[5];
rz(0.8526905993575316) q[0];
rx(0.88180115... | 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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZIIIZ",
"IZIIIIZ",
"IZZIIII",
"ZIIZIII",
"ZIIIIZI",
"IIIZZII",
"IIZIZII",
"IZIIZII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-1,
-0.5,
0,
-1
] | 0.764122 | [
-0.2653211005769242,
0.8526905993575312,
1.319009349126271,
-2.5209900163082057,
0.8818011504971432,
1.18332886007987,
-2.851170190766367,
-2.4976708840306894,
-0.4815721680834389
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 330 |
0196429b0da7e22849832e813b6ffbfd | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 5, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 0, "target": 7}, {"capac... | {"states": [0, 1], "expectation_value": -15.375016766585253, "params": [0.0001, 0.149, 0.0029000000000000002, 0.1433, 0.0008, 0.1436, 0.0006000000000000001, 0.1433, -0.002, 0.11960000000000001, 0.0053, 0.1549, 0.0043, 0.1584, 0.0012000000000000001, 0.1388, 0.0007, 0.12300000000000001, 0.0061, 0.1626, 0.0018000000000000... | -1.25 * (Z(0) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -2.0 * (Z(1) @ Z(6)) + -1.0 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -1.25 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(2)) + -1.5 * (Z(4) ... | 7 | 10 | 4 | {"smallest_eigenvalues": [-17.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.75, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 20.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.01451714377332614) q[0];
rz(1.567933017869171) q[0];
rx(-0.02032888722137103) q[1];
rz(1.5921707930274547) q[1];
rx(-0.12005231502450762) q[2];
rz(1.7459814652059578) q[2];
rx(-0.004760584586112621) q[3];
rz(1.567933017869171) q[3];
rx(0.1266826876956882) q[4];
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... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IIIZIIIIZI",
"IIIZIIZIII",
"IIZIIIZIII",
"IIIIIIZIZI",
"IIIIZIIZII",
"IIIZIIIZII",
"IIIIIIZZII",
"IZIIIIZIII",
"IZIIIIIZII",
"IIIIZZIIII",
"ZIIIZIIIII",
"ZIIIIIIIIZ",
"ZIZIIIIIII",
"ZIIIIZIIII",
"IIIIZIIIII",
"IIIIIIIIIZ"... | [
-1.25,
-0.5,
-1.25,
-0.75,
-2,
-1,
-1,
-0.5,
-0.75,
-1.25,
-0.25,
-1.25,
-0.75,
-1.5,
-1,
3.25,
-0.75,
-0.25,
-1,
-0.25,
0.5,
1.25,
1,
-4,
0.5,
0.5,
0.25,
1.25
] | 0.978249 | [
-0.01451714377332614,
-0.00286330892572606,
-0.02032888722137103,
0.021374466232557676,
-0.12005231502450761,
0.17518513841106048,
-0.004760584586112622,
0.12668268769568816,
0.08733852019055875,
-0.16291809049276493,
0.1992389045506872,
-0.33531949643995196,
0.7336791699499292,
2.67812021... | {
"n_parameters": 23,
"n_qubits": 10,
"optimal_eigenvalue": -17.75,
"target_ratio": 0.97,
"target_value": -17.2175
} | 8 |
bf7a6506725442818eb71bf15301513e | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [636, 620], "expectation_value": -93.85852604878656, "params": [0.36100000000000004, -0.126, 0.0045000000000000005, 0.38280000000000003, 0.597, 0.0704, 0.3647, 0.1431, 0.19340000000000002, 0.1801, 0.6065, 0.0037, 0.601, 0.0054, 0.3674, 0.15510000000000002, 0.5989, 0.0048000000000000004, 0.5961000000000001, 0... | 7.5 * (Z(0) @ Z(2)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(6) @ Z(2)) + 7.5 * (Z(6) @ Z(0)) + 7.5 * (Z(6) @ Z(4)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(9) @ Z(3)) + 7.5 * (Z(7) @ Z(9)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(10) @ Z(8)) + 7.5 * (Z(11) @ Z(5)) + 16.0 * Z(2) + 3.5 * Z(0) + 3.5 *... | 18 | 12 | 4 | {"smallest_eigenvalues": [-148.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -127.0, "smallest_bitstrings": ["110110010011"], "largest_eigenvalue": 196.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.17853547559868216) q[0];
rz(-0.10332073069880687) q[0];
rx(0.028466350315806473) q[1];
rz(0.39046341417825114) q[1];
rx(0.7159162115877584) q[2];
rz(-0.07995810775434248) q[2];
rx(0.0851106974405747) q[3];
rz(0.2910492656924737) q[3];
rx(-0.03357328696027727) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZ",
"IIIIIIIIZZII",
"IIIIIIZZIIII",
"IIIIIZIIIZII",
"IIIIIZIIIIIZ",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIZIIIIIZIII",
"IIZIZIIIIIII",
"IIZZIIIIIIII",
"IIIZZIIIIIII",
"IZIZIIIIIIII",
"ZIIIIIZIIIII",
"IIIIIIIIIZII",
"IIIIIIIIIIIZ",
"IIIIIIIIZIII",
"IIIIIIIZIIII",
"IIIIIIZII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
16,
3.5,
3.5,
0.5,
16.5,
22,
16.5,
3.5,
15.5,
-4.5,
-5,
-10.5
] | 0.977107 | [
0.17853547559868213,
-0.20011277930049948,
0.028466350315806473,
0.39046341417825114,
0.7159162115877584,
-0.07995810775434248,
0.0851106974405747,
0.2910492656924737,
-0.03357328696027727,
0.24929733231707907,
0.8209080712382184,
-0.060652173907219435,
0.9093399295432327,
0.12078154952623... | {
"n_parameters": 132,
"n_qubits": 12,
"optimal_eigenvalue": -148,
"target_ratio": 0.97,
"target_value": -143.56
} | 19 |
7d035ca1bf1f85a5b9e73dc65bf927bc | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 3}, {"weight": 14, "source": 0, "target": 6}, {... | {"states": [236, 124], "expectation_value": -22.697428577124583, "params": [[0.0292, 0.0066], [-0.0784, -0.0746]], "bitstrings": ["00010011", "10000011"], "total_optimization_steps": 10, "probabilities": [0.011228798965981666, 0.013164108527407419], "optimization_time": 4.363154888153076} | 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) ... | 1 | 8 | 2 | {"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] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "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 |
b7eaf66301f9b7c8d4f947444be4cce6 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7},... | {"states": [1935, 1983], "expectation_value": -9.601668278527573, "params": [0.5714, -0.0455, 0.43620000000000003, 0.0854, 0.5636, -0.0091, 0.43510000000000004, 0.1527, 0.6159, -0.0819, 0.5465, -0.07980000000000001, 0.613, -0.0762, 0.5603, 0.0024000000000000002, 0.5179, 0.23520000000000002, 0.45, 0.07100000000000001, 0... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(10)) + -1.0 * (Z(2) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(10) + 0.5 * Z(9) + 0.5 * Z(3) + 0.5 * Z(2) + -0.5 * Z(4) | 6 | 11 | 4 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["00001000000"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.578546460595844) q[0];
rz(1.5649484018205557) q[0];
rx(1.1542170140655326) q[1];
rz(1.581686139949353) q[1];
rx(2.1475358534579922) q[2];
rz(1.6795510659400366) q[2];
rx(-3.0641522994748227) q[3];
rz(1.5784891660204154) q[3];
rx(0.3578417314936647) q[4];
rz(2.1032... | 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... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIZZIIIII",
"IIZZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIZZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIIIII",
"ZIIIIIIIIII",
"IZIIIIIIIII",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII"
] | [
-1,
-1,
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970109 | [
1.5785464605958441,
-0.005847924974340831,
1.1542170140655326,
0.010889813154456019,
2.1475358534579927,
0.10875473914514013,
3.219033007704764,
0.007692839225518923,
0.35784173149366477,
0.532490951004535,
-3.076591709036881,
0.44428642196002094,
0.04260169475956817,
0.8997983020971242,
... | {
"n_parameters": 55,
"n_qubits": 11,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 291 |
1ea209d925c573bd928d60ccf2a10775 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 9}, {"source": 1, "target":... | {"states": [138, 650], "expectation_value": -5.960145010102022, "params": [[0.8045, 0.17250000000000001, 0.7981, 0.5831000000000001, -0.012700000000000001, 0.5533, 0.8061, 0.1317, 0.8109000000000001, -0.014700000000000001], [0.7979, 0.0415, 0.8058000000000001, 0.7876000000000001, -0.022500000000000003, 0.1885, 0.8043, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.0, "smallest_bitstrings": ["1100110101", "1110101100", "1110110100", "0101110101"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.7717908275439025) q[0];
ry(-0.03275000912681232) q[1];
ry(1.187269599828925) q[2];
ry(0.017533103227047) q[3];
ry(0.1933409325064481) q[4];
ry(0.6325584544375898) q[5];
ry(0.461052059643977) q[6];
ry(-0.045723457867430234) q[7];
ry(1.1567004607526705) q[8];
ry(0.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"IZIIIIIIZI",
"IZIIIZIIII",
"ZIIIIIIZII",
"IIIIZZIIII",
"IIIIZIIZII",
"ZIZIIIIIII",
"IIZIIIIZII",
"IIZIZIIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-0.5,
-2,
-2,
-0.5,
-1,
-1.5,
-1.5,
-1
] | 0.977205 | [
1.7717908275439025,
-0.03275000912681232,
1.187269599828925,
0.017533103227047,
0.1933409325064481,
0.6325584544375898,
0.461052059643977,
-0.045723457867430234,
1.1567004607526705,
0.1578556961039839,
1.4727393207455168,
-0.05335569135368808,
1.9412995099944246,
-0.1477921833550183,
-0.... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 28 |
2631876904561401577 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [1, 7], [3, 4], [4, 7], [0, 7], [2, 5, 7], [1, 4, 6], [5, 6, 7], [2, 4, 5, 6], [3, 5], [0, 1, 2, 5]]} | {"states": [51, 236], "expectation_value": -1.0545745730057947, "params": [[-0.2731], [0.2671]], "bitstrings": ["11001100", "00010011"], "total_optimization_steps": 30, "probabilities": [0.013803540056698052, 0.01389677929613665], "optimization_time": 3.049910306930542} | 0.5 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.08333333333333333 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.9166666666666656], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.8333333333333335, "smallest_bitstrings": ["00010011"], "largest_eigenvalue": 7.999999999999999} | 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(-0.6919864310856964) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.17107837401536377) q[1];
cx q[0], q[1];
h q[4];
cx q[3], q[4];
rz(-0.6919864310856964) q[4];
cx q[3], q[4];
h q[5];
cx q[3], q[5];
rz(-0.6919864310856964) q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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 ... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIIIIZZ",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIZZIII",
"IIIZIIZI",
"ZIIZIIII",
"IIIIIZIZ",
"IIIIIZZI",
"ZIIIIZII",
"IIIZIZII",
"IIZIZIII",
"IIZIIIIZ",
"IIZIIIZI",
"ZIZIIIII",
"IIZZIIII",
"IIZIIZII",
"IZIIIIZI",
"ZZIIIIII",
"IZIZIIII",
"IZIIIZII",
"IZZIIIII",
"IIIIZII... | [
0.5,
0.08333333333333333,
0.5,
0.5,
0.5,
0.16666666666666666,
0.5,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.3333333333333333,
0.08333333333333333,
0.3333333333333333,
0.16666666666666666,
... | 0.518524 | [
-0.6919864310856964,
0.17107837401536377,
-0.008757979371497138,
-0.21133113746878376,
-0.1750753396880479,
0.23639942886975115,
-0.09300324315945045,
-0.06983594989552255,
-1.4800652222161395,
-0.4124742365151709,
-1.4283454435718657,
0.8806167587935961
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -3.9166666666666656,
"target_ratio": 0.97,
"target_value": -3.7991666666666655
} | 245 |
69144809aea48cb46eae9c3950f24a15 | graph_isomorphism | vqe | {"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": [57275, 56955], "expectation_value": -16.870559900030557, "params": [[[0.0014, 0.45740000000000003, 0.0006000000000000001, 0.0027], [0.0026000000000000003, -0.9228000000000001, 0.5437000000000001, -1.1236000000000002], [1.0333, 0.9902000000000001, 0.9581000000000001, 1.0094], [0.0784, -1.1207, 0.256700000000... | 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(... | 11 | 16 | 2 | {"smallest_eigenvalues": [-20.49999999999982], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.49999999999978, "smallest_bitstrings": ["0010000110000100"], "largest_eigenvalue": 69.5000000000001} | 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] 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": 3}, {"id": 1}, {"id": 0}, {"id": 2}], "edges": [{"source": 3, "target": 0}, {"source": 1, "target": 0}, {"source": 1, "target": 2}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIZIII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIIIZIIZI",
"IIIIIIIIIIIZZIII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIZIIZIIII",
"IIIIIIIIIIZZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,... | 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 |
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