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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2a895515d0a8eaf1b57b7d486fef5b85 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [2, 3], "expectation_value": -26.658498829115707, "params": [0.0358, 0.258, 0.0805, 0.27090000000000003, 0.028200000000000003, 0.28240000000000004, 0.0234, 0.28450000000000003, 0.0304, 0.2892, 0.4932, 0.1859, 0.4833, 0.1835, 0.0335, 0.2632, 0.0825, 0.2777, 0.029300000000000003, 0.2841, 0.027, 0.2826, 0.03190... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + 2... | 3 | 7 | 4 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-2.096327820170651) q[0];
ry(0.2537083493680447) q[0];
rz(1.570436671091425) q[0];
rz(1.191244473143085) q[1];
ry(0.2008107508654874) q[1];
rz(-1.6963430441543206) q[1];
rz(-1.9118469528459408) q[2];
ry(0.1477573005102168) q[2];
rz(1.5833415908168567) q[2];
rz(2.2786... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
2.75,
2.75,
3,
2.75,
2.75,
3,
3,
3,
-10,
-10.25,
-10.25,
-10.25,
-10.25,
-9.5,
-9.5
] | 0.972257 | [
-0.08028563510993815,
-0.21555986132396174,
0.078732077463361,
-0.21601939328285985,
-0.010214764130119527,
-0.03172665130023722,
0.30548255601708946,
0.07708210515096893,
0.3715827281252511,
0.6916802821102456,
0.19367370790422986,
0.9804975452195692,
-0.10497639850611308,
0.0456723136684... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 8 |
605742faa50c2e92c07356e058fd303f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [24, 33], "expectation_value": -0.41623548507748687, "params": [[0.0502, 0.0815], [-0.0151, -0.0693]], "bitstrings": ["100111", "011110"], "total_optimization_steps": 10, "probabilities": [0.018863945706878903, 0.018872339744303447], "optimization_time": 3.6763079166412354} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(4) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["101011", "100111", "101110", "011011", "111001", "011110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.2519734558329277) q[0];
rz(0.3651187390109438) q[0];
rx(0.549123536582348) q[1];
rz(0.1729633947430669) q[1];
rx(0.43121785023168274) q[2];
rz(-0.3977475527083846) q[2];
rx(0.7480155259603805) q[3];
rz(0.11334574533755185) q[3];
rx(0.9524074886463487) q[4];
rz(0.0... | 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZZII",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-1.5,
-0.5,
-1
] | 0.973344 | [
-0.25197345583292763,
0.2954298013317361,
0.549123536582348,
0.1729633947430669,
0.43121785023168274,
-0.3977475527083846,
0.7480155259603805,
0.11334574533755185,
0.9524074886463487,
0.09007031560592105,
-0.034370920448749724,
0.1359556355151768,
0.6730941809643614,
0.021375644081781026,
... | {
"n_parameters": 106,
"n_qubits": 9,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 14 |
fbeca3287c88ac656e8f44e35837a20d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [125, 109], "expectation_value": -47.86496161252303, "params": [0.27940000000000004, 0.40390000000000004, 0.8964000000000001, 0.21910000000000002, 0.8989, -0.0009000000000000001, 0.4842, 0.22940000000000002, 0.8912, 0.11610000000000001, 0.8962, -0.0053, 0.0661, 0.5107, 0.8964000000000001, 0.2479, 0.2786, 0.4... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(2) @ Z(5)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 5.5 * Z(1) + 1.5 * Z(0) + 19.0 * Z(4) + 14.5 * Z(5) + 14.5 * Z(2) + 6.0 * Z(3)... | 3 | 8 | 3 | {"smallest_eigenvalues": [-59.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -51.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 117.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.4621200799157078) q[0];
rz(2.5310802994442465) q[0];
rx(1.0371216398864838) q[1];
rz(1.2936490653800785) q[1];
rx(1.5502854236584591) q[2];
rz(1.6255839899431388) q[2];
rx(2.0270665855362484) q[3];
rz(2.37946354203517) q[3];
rx(1.626482565654) q[4];
rz(1.4004363227... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIZI",
"IIZZIIII",
"IIIIIZIZ",
"IIIZIZII",
"IIZIIZII",
"IIIZZIII",
"IIZIZIII",
"IIIIZZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IIIIIZII",
"IIIIZIII",
"ZIIIIIII",
"IZIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
5.5,
1.5,
19,
14.5,
14.5,
6,
7.5,
-1
] | 0.977034 | [
0.4621200799157078,
0.9602839726493494,
1.0371216398864838,
-0.2771472614148176,
1.5502854236584591,
0.05478766314824232,
2.0270665855362484,
0.8086672152402733,
1.626482565654,
-0.17036000403937762,
1.5389205452174688,
0.023243864098932004,
0.6780255439029278,
-0.006324178265194772,
1.9... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -59,
"target_ratio": 0.97,
"target_value": -57.23
} | 18 |
ab38e7699e076f39debd51236acd2336 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [63, 31], "expectation_value": -1.218101111370658, "params": [[0.0673, 0.0757, 0.0636], [-0.0456, -0.0674, -0.0591]], "bitstrings": ["000000", "100000"], "total_optimization_steps": 10, "probabilities": [0.0280334954754187, 0.03329311582077972], "optimization_time": 2.9511537551879883} | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.75 * (Z(2) @ Z(3)) + 0.75 * (Z(5) @ Z(0)) + -1.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + 1.0 * Z(1) + -0.25 * Z(0) + -1.5 * Z(3) + 0.75 * Z(4) + 0.75 * Z(2) + -0.75 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 7.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(1.7953384840481424e-08) q[0];
h q[0];
rx(-4.752371779122262e-08) q[1];
h q[1];
rx(1.7896803644321402) q[2];
h q[2];
rx(1.0850151974205464) q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IZIIZI",
"IZZIII",
"IIZZII",
"ZIIIIZ",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
-0.5,
-1.25,
-0.25,
-0.75,
-0.75,
0.75,
-1.25,
-0.25,
1,
-0.25,
-1.5,
0.75,
0.75,
-0.75
] | 0.333333 | [
1.7953384840481424e-8,
-4.752371779122262e-8,
1.7896803644321402,
1.0850151974205464,
-5.648034782545892e-8,
1.8402525196265138e-8,
-0.5321727826909078,
0.15155709060402683,
0.3534217240299965,
1.4110817758126415,
1.429681773746566,
1.053028979848131,
0.5840799006992541,
1.3143299830258015... | {
"n_parameters": 18,
"n_qubits": 6,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 325 |
ad4ef1940b5adbe9a90f20a059df778f | 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": [111, 103], "expectation_value": -54.67780561385477, "params": [0.6945, -0.34190000000000004, 1.3945, -0.006200000000000001, 1.3928, 0.1816, 0.38280000000000003, 0.5111, 0.784, -0.3497, 1.3916000000000002, -0.2295, 1.3980000000000001, 0.0009000000000000001, 1.395, -0.12390000000000001, 0.6958000000000001, 0.... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(7) @ Z(2)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(5)) + 17.0 * Z(1) + 5.0 * Z(0) + 25.0 * Z(2) + 2.0 * Z(3) + 9.... | 18 | 8 | 2 | {"smallest_eigenvalues": [-70.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10011000"], "largest_eigenvalue": 157.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.026165914275145863) q[0];
rz(-0.14631255402273702) q[0];
rx(1.4640472198366212) q[1];
rz(-0.1640170496499822) q[1];
rx(1.5123407194145706) q[2];
rz(0.19861235105355105) q[2];
rx(0.0923987358119518) q[3];
rz(0.6210191433369018) q[3];
rx(0.11075844542175525) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZIZII",
"IIZIIZII",
"IIZZIIII",
"IZIIIIZI",
"IZIIZIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
17,
5,
25,
2,
9,
12.5,
7,
14
] | 0.974669 | [
0.026165914275145863,
-0.021352454333803325,
1.4640472198366212,
-0.1640170496499822,
1.5123407194145706,
0.19861235105355105,
0.0923987358119518,
0.6210191433369018,
0.11075844542175525,
-0.3801519124766197,
1.1541739181442523,
0.07339262017150298,
1.5078840968018254,
0.30012168367284386,... | {
"n_parameters": 47,
"n_qubits": 8,
"optimal_eigenvalue": -70.5,
"target_ratio": 0.97,
"target_value": -68.385
} | 17 |
d94808e5cc9b60725b159cb308a4d8c1 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capaci... | {"states": [29, 21], "expectation_value": -4.638101937172529, "params": [[0.12440000000000001, 0.1071, 0.054400000000000004, 0.0206], [-0.11720000000000001, -0.14880000000000002, -0.1464, -0.1535]], "bitstrings": ["100010", "101010"], "total_optimization_steps": 20, "probabilities": [0.08304628138456116, 0.121016703045... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -1.25 * (Z(2) @ Z(3)) + 1.25 * Z(1) + -0.25 * Z(0) + 1.25 * Z(3) + -1.5 * Z(4) + 0.5 * Z(5) + -1.25 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["100010", "101010"], "largest_eigenvalue": 9.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.3973990978795459) q[0];
h q[1];
ry(0.7210581234742061) q[1];
h q[2];
h q[3];
ry(1.508145619070655) q[3];
cx q[3], q[1];
ry(-0.7210581234742061) q[1];
cx q[3], q[1];
h q[4];
ry(-1.402367103280393) q[4];
h q[5];
cx q[5], q[0];
ry(0.3973990978795459) q[0];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"IIZZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
-0.75,
-1,
-0.25,
-0.75,
-0.5,
-0.25,
-0.25,
1.75,
-1,
-1.25,
1.25,
-0.25,
1.25,
-1.5,
0.5,
-1.25
] | 0.973609 | [
-1.402367103280393,
-0.7947981957590918,
1.226614773855988,
1.508145619070655,
1.4421162469484121,
-0.23582571520858747,
0.17368093824506411,
-0.2690797596273954,
0.1449349374403027,
-0.4615274142083343,
-0.04054061261302525,
-0.4541789105974401
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 11 |
174d93e25780689a92f2db1de927773e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [0, 14], "expectation_value": -2.490626669205405, "params": [1.2011, -0.0026000000000000003, 0.5935, 0.3271, 0.7931, 0.0036000000000000003, 1.1987, -0.0004, 1.1971, 0.0031000000000000003, 1.2083000000000002, -0.0037, 1.2037, 0.0009000000000000001, 1.2, 0.009000000000000001, -1.1867, 0.5387000000000001, -0.82... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.0 * Z(6) + -1.0 * Z(4) + -0.5 * Z(2) + -1.0 * Z(3) + -0.5 * Z(5) + -0... | 4 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -3.0, "smallest_bitstrings": ["10011011", "01011011", "01110110", "11011001", "01011110", "01110011", "11110001", "10101110", "01101110", "10011110"], "largest_eigenvalue"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.1932929831247992) q[0];
rz(1.5571724180127298) q[0];
rx(-0.1316875398400955) q[1];
rz(1.685146071548882) q[1];
rx(-0.28314910150868244) q[2];
rz(2.237008377941507) q[2];
rx(1.832297440411633) q[3];
rz(1.5526158229203304) q[3];
rx(1.9051054724970926) q[4];
rz(1.6416... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IZIIIIZI",
"IZIIIIIZ",
"IIIZIIZI",
"IIIZIZII",
"IIIZZIII",
"IIIIZZII",
"IIZIZIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IZIIIIII",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-0.5,
-1,
-0.5,
-0.5
] | 0.974703 | [
0.1932929831247992,
-0.013623908782166738,
-0.1316875398400955,
0.11434974475398402,
-0.28314910150868244,
0.666212051146611,
1.8322974404116332,
-0.018180503874565747,
1.9051054724970926,
0.07089909986354813,
1.77078986308114,
0.03365725617162285,
3.2751549745830606,
0.28675398627487114,
... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 25 |
f66a982a183ade09db0d8bd37adec82b | 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": 3, "source": 0, "target": 1}, {"weight": 17, "source": 1, "target": 9}, {"weight": 2, "source": 2, "target": 3}, {"weight": ... | {"states": [343, 342], "expectation_value": -79.64454762174866, "params": [1.1001, -0.009300000000000001, -0.5031, 0.0063, 1.1034000000000002, -0.101, 1.0749, 0.0059, 1.0959, -0.033800000000000004, -0.5604, 0.0066, 1.101, -0.1018, 1.0968, 0.0004, 1.105, 0.0137, -0.1194, 0.0067, 1.0981, -0.09580000000000001, 1.1045, 0.0... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(7) @ Z(3)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(6) @ Z(7)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(9) @ Z(1)) + 5.5 * (Z(9) @ Z(3)) + 5.5 * (Z(9) @ Z(5)) + 5.5 * (Z(9) @ Z(7)) + 5.5 * (Z(9) @ Z(8)) + 14.0 * Z(1) ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-104.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.5, "smallest_bitstrings": ["1010101001"], "largest_eigenvalue": 171.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.17396870276297483) q[0];
rz(1.4815906557890361) q[0];
rx(0.8467122148572366) q[1];
rz(1.5415456054239751) q[1];
rx(0.34095051938946835) q[2];
rz(1.8788324266479801) q[2];
rx(0.7838521986374394) q[3];
rz(1.4153294253154893) q[3];
rx(0.27648068414589133) 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[... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIZIIIZIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IZIIIIIIZI",
"IZIZIIIIII",
"ZIIIIIIIZI",
"ZIIIIIZIII",
"ZIIIZIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIIIZIIII"... | [
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,
14,
-4,
16.5,
-4.5,
17.5,
-1.5,
21,
4.5,
14,
17
] | 0.974175 | [
0.17396870276297483,
-0.08920567100586008,
0.8467122148572365,
-0.029250721370921308,
0.34095051938946835,
0.3080360998530831,
0.7838521986374394,
-0.15546690147940717,
0.2764806841458914,
0.02525257100864669,
0.8757771293735327,
0.0017686464229193146,
0.06973237295626492,
-0.6630689786767... | {
"n_parameters": 115,
"n_qubits": 10,
"optimal_eigenvalue": -104.5,
"target_ratio": 0.97,
"target_value": -101.365
} | 8 |
abc01bbbec8df6018b1ccc06153a1aa6 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [693, 757], "expectation_value": -2.057443301526042, "params": [[0.1864, 1.5864, 0.164, 1.5601, 0.1879, 1.3156, 0.3952, 0.9845, 1.5934000000000001, 0.44970000000000004, 1.5095], [0.1749, 1.5816000000000001, 0.8280000000000001, 1.5794000000000001, 1.6019, 1.5941, 1.6078000000000001, 0.8027000000000001, 0.9042... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(2) @ Z(6)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(5) @ Z(3)) + 0.... | 10 | 11 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.375, "smallest_bitstrings": ["01100001010", "01010100010", "10101000100", "101000101... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(3.598901742831302) q[0];
rz(-0.19263656034004958) q[0];
rx(2.950115267943038) q[1];
rz(0.0170986077338334) q[1];
rx(-0.046405501093949586) q[2];
rz(-0.955121490693832) q[2];
rx(-0.32068271452814484) q[3];
rz(0.4677788598621341) q[3];
rx(3.1183563014158926) 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": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIIZZZII",
"IIIIIZIIZII",
"IIIIZIIIZII",
"IIIIZZIIIII",
"IIIIZZIIZII",
"IIIIIIIZIIZ",
"IIIIIZIIIIZ",
"IIIZIIIIIIZ",
"IIIIIZIZIII",
"IIIZIIIZIII",
"IIIZIZIIIII",
"IIIIIZIZIIZ",
"IIIZIIIZIIZ",
"IIIZIZIIIIZ",
"IIIZIZIZI... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.125,
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,
0.1... | 0.971291 | [
3.598901742831302,
-0.19263656034004958,
2.950115267943038,
0.0170986077338334,
-0.046405501093949586,
-0.955121490693832,
-0.32068271452814484,
0.4677788598621341,
3.1183563014158926,
-0.8253293038746815,
0.0715799366508601,
1.0425074626093955,
0.08335242011839639,
-0.5831628395383125
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 20 |
d4330ca50c7e11a2ef645e484effbde2 | 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": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "s... | {"states": [157, 153], "expectation_value": -15.480870537391183, "params": null, "bitstrings": ["101100010", "101100110"], "total_optimization_steps": 65, "probabilities": [0.11323638153713352, 0.8867634157811779], "optimization_time": 107.92234802246094} | -1.25 * (Z(0) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(0)) + 2.5 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(7)) + -1.25 * (Z(1) @ Z(5)) + -1.5 * (Z(1) @ Z(7)) + -1.5 * (Z(1) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(7)) + -0.75 * (Z(6) @ Z(5)) + -1.25 * (Z(6) @ ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["101100110"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.2622882689348001) q[0];
rz(-0.12539551542716332) q[0];
rx(-0.6420858985691934) q[1];
rz(0.02450966034577462) q[1];
rx(-0.003948278541108552) q[2];
rz(-0.12725017189151266) q[2];
rx(-0.2450817342347413) q[3];
rz(-0.14497568647068348) q[3];
rx(0.4737983588182048) 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(-1.5709) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIIZIZ",
"IIIZIIIIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIZIIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIIIIZZII",
"IIIZIZIII",
"IZIIIZIII",
"IIZZIIIII",
"IZZIIIIII",
"IIZIIZIII",
"IIIIZIZII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"... | [
-1.25,
-0.25,
-0.5,
-0.75,
2.5,
-0.75,
-1.25,
-1.5,
-1.5,
-0.5,
-0.5,
-1,
-0.75,
-1.25,
-1,
-0.25,
-1,
-1,
-0.5,
-0.25,
1.25,
-0.75,
-0.75,
1.75,
0,
-3,
2.25
] | 0.97117 | [
-0.26228826893480006,
-0.36368508968482277,
-0.6420858985691934,
-0.1687732665922791,
-0.003948278541108552,
-0.10989513482201041,
-0.24508173423474128,
-0.23246293102332344,
0.4737983588182048,
0.06466018283837059,
-0.2620092086830588,
0.3056290733678249,
-0.1334774724548909,
-0.170745461... | {
"n_parameters": 178,
"n_qubits": 9,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 21 |
3ab147cc948c972495cc9d6b1a04d6d2 | 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": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [41, 56], "expectation_value": -0.19258567206591698, "params": [[-0.0781], [0.0757]], "bitstrings": ["010110", "000111"], "total_optimization_steps": 10, "probabilities": [0.017496148162510786, 0.017496148162510786], "optimization_time": 1.0720205307006836} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(1) + -0.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["011010", "000111", "010110", "001011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.2617382474824059) q[0];
rz(-0.25556683543857517) q[0];
rx(3.2549553359388126) q[1];
rz(-0.1904150377377148) q[1];
rx(0.11533762007237594) q[2];
rz(0.15040563274986068) q[2];
rx(-0.11428203016202747) q[3];
rz(0.06697334278189641) q[3];
rx(3.1542430010311207) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], q[5];
rz(x0) q[5]... | null | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IZIIZI",
"ZZIIII",
"ZIIIZI",
"IZIZII",
"IZZIII",
"IIZZII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.977185 | [
-0.2617382474824059,
-0.33943598223353566,
3.2549553359388126,
-0.1904150377377148,
0.11533762007237594,
0.15040563274986068,
-0.11428203016202747,
0.06697334278189641,
3.1542430010311207,
0.320444768261287,
3.301363365899691,
-0.4991032485906577,
3.212741703886446,
-0.18414658324060862,
... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 28 |
d92b7c12d97dc605feea13254bd8dff9 | 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": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [41, 9], "expectation_value": -0.5539726992924859, "params": [[-0.0468, -0.0835], [0.0455, 0.0734]], "bitstrings": ["1010110", "1110110"], "total_optimization_steps": 10, "probabilities": [0.011984228107750333, 0.0119854291120731], "optimization_time": 2.44179105758667} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(5) @ Z(2)) + 0.0 * Z(1) + -0.25 * Z(0) + -1.0 * Z(2) + -0.75 * Z(4) + 0.75 * Z(6) + 0.75 * Z(3) + 0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["1110110", "1110100", "1010100", "1010110"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.1613355818092186) q[0];
h q[1];
ry(-0.12233573057545974) q[2];
rz(-pi) q[2];
h q[3];
ry(1.3171455343153773) q[3];
h q[4];
ry(-1.4549864237177321) q[4];
h q[5];
h q[6];
cx q[6], q[0];
ry(0.1613355818092186) q[0];
cx q[6], q[0];
ry(-1.3359098122324058) q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIIZ",
"IIZIZII",
"ZIIIIZI",
"ZIIIIIZ",
"IIZZIII",
"ZIIZIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
1.75,
-0.25,
-0.5,
-0.5,
0,
-0.25,
-1,
-0.75,
0.75,
0.75,
0.5
] | 0.978301 | [
-0.3226711636184372,
1.0297858894541518,
-1.3860618782316705,
-1.4549864237177321,
-1.2701039327304473,
1.3171455343153773,
0.6533473382192567,
-0.13161175900391658,
-0.23704437420561295,
-0.36147363198884425,
0.07668172061107403,
0.05424147455893963,
0.18792758690886313,
-0.12479743597553... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 14 |
2d427a1b11a2ac0cd77be7e19f4886a5 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [32, 31], "expectation_value": -1.0091813833358045, "params": [[-0.049600000000000005, -0.0361, -0.0351, -0.016300000000000002], [0.06620000000000001, 0.0468, 0.051000000000000004, 0.041]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.02856002761738858, 0.0295330424... | 0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * Z(5) + -0.25 * Z(0) + 0.25 * Z(1) + -0.75 * Z(4) + -0.25 * Z(2) + 1.25 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-pi) q[0];
ry(-0.36832466187853724) q[0];
h q[1];
ry(0.6996506090294817) q[1];
h q[2];
ry(1.4341160390699692) q[2];
h q[3];
ry(0.4350596706101028) q[3];
h q[4];
cx q[4], q[3];
ry(-0.4350596706101028) q[3];
cx q[4], q[3];
cx q[3], q[2];
ry(-1.4341160390699692) q[2];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"ZIIIIZ",
"ZIIIZI",
"IZIIZI",
"IIIZZI",
"IIZIZI",
"IZZIII",
"IIZZII",
"ZIIIII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"IIIZII",
"IIZIII"
] | [
0.25,
-0.5,
-0.75,
-0.75,
-0.25,
-2,
-1,
-0.25,
-0.25,
0.25,
-0.75,
-0.25,
1.25
] | 0.972729 | [
0.8701193412202056,
1.4380100031703458,
1.3993012180589635,
2.8682320781399384,
1.8506303529500285,
-0.13033527471164086,
-0.8865785813861408,
-2.183550689572806,
1.5402963289907818,
0.48885940179874426,
-1.2256497487012028,
-0.16742620949253897,
2.0704686115455657,
-0.4358628055452006,
... | {
"n_parameters": 29,
"n_qubits": 6,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 108 |
1d579e37a468bd880bcb1092848cc668 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 4, "source": 4, "target": 1... | {"states": [53, 39], "expectation_value": -5.123520434733628, "params": null, "bitstrings": ["1001010", "1011000"], "total_optimization_steps": 28, "probabilities": [0.10938285524458996, 0.1093833937372856], "optimization_time": 19.978067636489868} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + 0.75 * (Z(6) @ Z(0)) + -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(6) + -2.0 * Z(3) + 0.0 * Z(2) + 2.0 * Z(4) + 1.0 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -4.25, "smallest_bitstrings": ["1101010", "1101000", "1001000", "1000000", "1100000", "1001010", "1011000", "1011010", "1111100", "1111110", "11110... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6941259116557518) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.7530958440334765) q[3];
h q[4];
ry(1.6275648338062378) q[4];
cx q[4], q[3];
ry(0.7530958440334765) q[3];
cx q[4], q[3];
h q[5];
h q[6];
cx q[6], q[0];
ry(0.6941259116557518) q[0];
cx q[6], q[0];
ry(-0.3... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIZII",
"IIZIIII",
"IZIIIII"
] | [
-0.5,
-0.5,
0.75,
-1,
-1,
-1,
-1,
-1,
-0.25,
0.25,
-2,
0,
2,
1
] | 0.975008 | [
1.6275648338062378,
-1.506191688066953,
-1.3882518233115035,
1.0437940616691472,
-0.6850023722970648,
0.430917419283484,
-0.20458261231373315,
0.03557786349020009,
-0.11303820837731039,
0.224256866592883,
-0.03744596523400791,
-0.08823505966052633,
0.07360138473543015
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 1 |
-1751951701620481849 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[1, 4], [3, 4], [0, 1], [1, 2]]} | {"states": [10, 21], "expectation_value": -1.6933088001002854, "params": null, "bitstrings": ["10101", "01010"], "total_optimization_steps": 29, "probabilities": [0.04608359072621474, 0.7807660464423409], "optimization_time": 18.249094009399414} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["10101", "01010"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(3.1258547120203417) q[0];
rz(1.1479387220664703) q[0];
rx(-0.029072889620616743) q[1];
rz(0.9508021159375424) q[1];
rx(3.005330664222116) q[2];
rz(-0.07184314033372752) q[2];
rx(-0.06539779208598426) q[3];
rz(-1.7773080853638428) q[3];
rx(3.328300731521075) q[4];
rz(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... | [
"ZIIZI",
"ZZIII",
"IIIZZ",
"IIZZI",
"ZIIII",
"IIIZI",
"IZIII",
"IIIIZ",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.988123 | [
3.1258547120203417,
1.1479387220664703,
-0.029072889620616743,
0.9508021159375424,
3.005330664222116,
-0.07184314033372752,
-0.06539779208598426,
-1.7773080853638428,
3.328300731521075,
-1.0624834707911877
] | {
"n_parameters": 10,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 24 |
4100956486e3cd626bf6b734439a9442 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 4, "source": 2, ... | {"states": [127, 41], "expectation_value": -2.8994331703449037, "params": [[-0.0752, -0.0752], [0.07780000000000001, 0.07400000000000001]], "bitstrings": ["10000000", "11010110"], "total_optimization_steps": 10, "probabilities": [0.010448435161488847, 0.01071683309187214], "optimization_time": 3.4020957946777344} | -1.0 * (Z(0) @ Z(4)) + -1.0 * (Z(5) @ Z(4)) + -1.25 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(5)) + -1.25 * (Z(7) @ Z(4)) + 2.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(7)) + -0.75 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -1.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.5, "smallest_bitstrings": ["11010110", "11011110"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-0.36507215311141916) q[0];
ry(0.1606680727892612) q[0];
rz(-3.1120225183555164) q[0];
rz(-1.6974293651824617) q[1];
ry(0.12226078549667259) q[1];
rz(-1.765542409788857) q[1];
rz(1.4012838825746217) q[2];
ry(2.7094293037524295) q[2];
rz(0.4384078166226839) q[2];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIZZIIII",
"IIZIIIIZ",
"IIZIIIZI",
"ZIIZIIII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIZIZII",
"ZIIIIZII",
"IZZIIIII",
"IZIIIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIZIII"
] | [
-1,
-1,
-1.25,
-0.75,
-1.25,
2.5,
-0.25,
-1,
-1,
-0.75,
-1.5,
-0.5,
-1.75,
-1,
0.25,
-0.25,
-0.5,
-0.5,
0,
3,
-1.25,
-0.75
] | 0.97352 | [
0.1134832255971797,
1.1174981403632047,
0.09639840408591,
0.9532138935218629,
1.0658192895910572,
0.7517790201206351,
-0.12008148993226303,
0.9898750488260064,
-0.12636517154354449,
1.3801412492016694,
0.010841736970453125,
1.3004956258393354,
-0.046647450318931034,
1.7660312049563776,
-... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 7 |
9197576435224240199 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 4], [8, 5], [6, 7], [3, 7], [9, 6], [1, 9], [3, 4], [9, 4], [8, 9], [10, 6], [9, 2], [2, 10], [0, 8], [0, 7], [8, 1], [0, 3], [2, 6], [10, 4], [9, 3], [8, 7], [2, 4], [1, 7], [5, 6]]} | {"states": [1131, 1067], "expectation_value": -0.10562426416551697, "params": [[[1.6952, 0.008400000000000001], [1.4625000000000001, 0.006200000000000001], [1.4564000000000001, 0.0007], [1.4259000000000002, 0.0028], [1.497, 0.0032], [1.7107, 0.002], [1.4513, 0.0041], [1.7092, 0.0088], [1.4361000000000002, 0.00550000000... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(1) ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["10100101011", "10000101011", "01011010100", "01111010100"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(2.8915127488115653) q[0];
rz(-0.545599944538714) q[0];
rx(0.2593670892704874) q[1];
rz(1.3838269882792669) q[1];
rx(2.74568588647037) q[2];
rz(1.067025912627202) q[2];
rx(0.04816610848984207) q[3];
rz(0.4133076468189165) q[3];
rx(0.1793838989663635) q[4];
rz(-0.3529... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIIZIIIZ",
"IIZIIIIIIIZ",
"IIZIIZIIIII",
"IIIIZZIIIII",
"IIIZIIIIIIZ",
"IIZZIIIIIII",
"IIIZZIIIIII",
"IIIIIIZZIII",
"IIIIIIIZIIZ",
"IIIZIIIZIII",
"IZIIIIZIIII",
"IZZIIIIIIII",
"IZIIZIIIIII",
"IZIIIIIZIII",
"IIZIIIIIIZI",
"IIIZIIIIIZI",
"IZIIIIIIIZI",
"ZIIIIIZIIII",
"ZIIIZIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.976267 | [
2.8915127488115653,
-0.545599944538714,
0.2593670892704874,
1.3838269882792669,
2.74568588647037,
1.067025912627202,
0.04816610848984207,
0.4133076468189165,
0.1793838989663635,
-0.35296560798398685,
3.0681485616174715,
1.7176872637690783,
0.17153931350791102,
1.7917451195643994,
3.18862... | {
"n_parameters": 21,
"n_qubits": 11,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 38 |
fd6121e447e37c628c6949df8258c489 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [132, 148], "expectation_value": -3.5291751826013953, "params": [0.4006, 0.0, -0.0004, 0.2255, -0.005, 0.2195, 0.403, 0.1057, 0.1091, 0.20500000000000002, 0.40240000000000004, 0.10650000000000001, 0.3332, 0.038700000000000005, 0.0131, -0.1849, 0.4091, -0.0008, 0.0016, 0.2265, -0.0029000000000000002, 0.225600... | 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(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(2) + -1.0 * Z(3) + ... | 3 | 8 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.0, "smallest_bitstrings": ["01100111", "10111001", "01101011", "01111100", "01111001", "01101110", "11011001"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.9076160068605014) q[0];
rz(-0.3765593258551325) q[0];
rx(-0.21534310194418615) q[1];
rz(0.06016770416668393) q[1];
rx(-0.09825677402260627) q[2];
rz(0.355353399735419) q[2];
rx(0.6811737019612191) q[3];
rz(0.038525098669246916) q[3];
rx(-0.1709127675848951) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"ZIIIIIZI",
"ZIIIIZII",
"IZIIZIII",
"ZIIZIIII",
"IZIZIIII",
"ZIZIIIII",
"IIZZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"ZIIIIIII",
"IZIIIIII",
"IIIZIIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-1,
-1.5,
-0.5,
-1,
-0.5
] | 0.972621 | [
0.9076160068605014,
-0.2003305574635234,
-0.21534310194418615,
0.04351347558724347,
-0.09825677402260626,
0.1292236931616035,
0.681173701961219,
0.13084954197315654,
-0.1709127675848951,
-0.16704002658550782,
1.0480005788916906,
-0.20634391427879184,
-0.02313113909696489,
0.150909847674794... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 13 |
d553277f50a2caebf7d64bfa2366fbf1 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4... | {"states": [106, 43], "expectation_value": -9.239155916146645, "params": null, "bitstrings": ["0010101", "1010100"], "total_optimization_steps": 44, "probabilities": [0.08729663983404472, 0.7841655267931145], "optimization_time": 36.62504553794861} | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(5)) + 0.5 * Z(3) + -0.25 * Z(0) + -2.25 * Z(4) + 2.0 * Z(1) + -1.5 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-10.0, -10.0, -10.0, -10.0, -10.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -7.0, "smallest_bitstrings": ["1111110", "1111100", "1010100", "1000100", "1011100"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6244170222714969) q[0];
h q[1];
ry(0.7824975594798811) q[1];
h q[2];
ry(-1.2488340445429937) q[2];
h q[3];
ry(0.750036580810066) q[3];
h q[4];
ry(-1.2488340445429937) q[4];
h q[5];
ry(0.7963883987253267) q[5];
h q[6];
cx q[6], q[0];
ry(0.6244170222714969) ... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IIZIIIZ",
"IIIZIZI",
"IIZIIZI",
"IIIZZII",
"IIIIZZI",
"IZIZIII",
"IZZIIII",
"IZIIIZI",
"ZIIIIIZ",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"ZIIIIII"
] | [
-1,
-0.75,
-1,
-1.25,
-0.75,
-0.75,
-0.25,
-0.25,
-1,
2,
-1,
0.5,
-0.25,
-2.25,
2,
-1.5,
0.5,
1
] | 0.96275 | [
-1.2488340445429937,
1.6043294875879333,
-1.0691927359798892,
1.5927767974506535,
1.5649951189597622,
2.892550652166787,
-0.8386926862915725,
1.500073161620132,
-2.8460184121839456,
-0.03428641686045621,
-0.14060491147893758,
-0.758107943261047,
0.6149085041257748,
0.16605770370895406,
1... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 500 |
16e531ebd5c4fa365456c9500ea8e716 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [6, 7], "expectation_value": -4.6406253638766195, "params": [[[0.4757, 0.22080000000000002], [0.4985, 0.20170000000000002], [0.47700000000000004, 0.2227], [0.48160000000000003, -0.2215], [0.9005000000000001, -0.0006000000000000001], [0.8627, 0.001], [0.8490000000000001, -0.0009000000000000001]], [[0.48050000... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.17931700348995208) q[0];
rz(-0.5295651513983046) q[0];
rx(0.1383091762588557) q[1];
rz(-2.4427159179592346) q[1];
rx(0.19192920998953547) q[2];
rz(0.7692060885471252) q[2];
rx(0.010941951037614334) q[3];
rz(1.0249064769628937) q[3];
rx(3.3823159256033737) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.25,
2.25,
2.5,
2.5,
-3.25,
-3.5,
-3.5,
-3.5,
-3,
-2.75,
-3
] | 0.970005 | [
-0.17931700348995208,
-0.5295651513983046,
0.1383091762588557,
-2.4427159179592346,
0.19192920998953547,
0.7692060885471252,
0.010941951037614334,
1.0249064769628937,
3.3823159256033737,
0.76377487209716,
2.7495714135870237,
0.6576922218401471,
3.0317260152509355,
-2.4912281243830905
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 29 |
5685d04b4306b22ae56a2bbc733b9334 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [42, 81], "expectation_value": -0.9260703324075925, "params": [[-0.058100000000000006, -0.0634, -0.053000000000000005], [0.061900000000000004, 0.064, 0.057600000000000005]], "bitstrings": ["1010101", "0101110"], "total_optimization_steps": 10, "probabilities": [0.012771731660848018, 0.013330746110906838], "o... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 * Z(4) + -1.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1010101", "0110110", "0110101", "0101110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-0.49282358549026595) q[1];
cx q[0], q[1];
ry(0.49282358549026595) q[1];
cx q[0], q[1];
ry(1.1446259845620295) q[0];
ry(-0.6888141989310146) q[1];
ry(-0.19217653237367516) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4112833892421122) q[3];
cx q[3], q[0];
ry(-0.2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIIZ",
"ZIIIIZI",
"ZIZIIII",
"IIZIZII",
"IIZZIII",
"IIIZZII",
"IZZIIII",
"ZZIIIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-2,
-1,
-1,
-0.5,
-1
] | 0.996069 | [
-1.512573322416855,
-1.2799726973009975,
1.4112833892421122,
1.4283200724327585,
-0.9856471709805319,
0.8613116077479857,
-0.19729419424044806,
-0.5757332536939542,
0.5666287536280875,
-0.22616189047412066,
0.13268498545644442,
-0.19868435239417664,
-0.1201447435527441,
0.2739459079713497,... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
6c445ab44e52d3d0b6d4e7d8f8ab2265 | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target":... | {"states": [0, 496], "expectation_value": -26.578496807403635, "params": [[[0.0023, 0.003], [0.0025, 0.0046], [0.0022, 0.007], [0.0028, 0.0038], [1.6023, 0.0079], [0.0022, 0.007], [0.0027, 0.0078000000000000005], [0.0025, 0.0037], [0.0019, 0.0027]]], "bitstrings": ["111111111", "000001111"], "total_optimization_steps":... | -2.5 * (Z(0) @ Z(2)) + -2.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + -2.5 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -2.5 * (Z(5) @ Z(6)) + 1.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(5)) + -2.5 * (Z(8) @ Z(6)) + -2.... | 2 | 9 | 1 | {"smallest_eigenvalues": [-29.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.0, "smallest_bitstrings": ["000001111"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.10025788243728341) q[0];
rz(-0.01464345884692684) q[0];
rx(0.010859456910247742) q[1];
rz(-0.34277056639442716) q[1];
rx(-0.04505894736338266) q[2];
rz(-0.25100915511631394) q[2];
rx(0.1436391982399534) q[3];
rz(0.11794936134092483) q[3];
rx(2.4721094053529327) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIIZIIZI",
"IIZZIIIII",
"IZZIIIIII",
"IZIZIIIII",
"ZIZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIZIIII",
"... | [
-2.5,
-2.5,
-2,
-2.5,
0.5,
0.5,
-2.5,
1,
-2,
0.5,
-2.5,
1.5,
-2.5,
-2.5,
-2.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
-2,
2
] | 0.977331 | [
0.10025788243728341,
-0.01464345884692684,
0.010859456910247742,
-0.34277056639442716,
-0.04505894736338266,
-0.25100915511631394,
0.1436391982399534,
0.11794936134092483,
2.4721094053529327,
-0.12461584604973637,
0.0761154990070232,
-0.020680418891403818,
0.12786538221853133,
0.0015811826... | {
"n_parameters": 14,
"n_qubits": 9,
"optimal_eigenvalue": -29,
"target_ratio": 0.97,
"target_value": -28.13
} | 13 |
e8d596808c64f05cb47f0ff36b159db4 | 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": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "... | {"states": [31, 4095], "expectation_value": -1.581777559909711, "params": [[0.0273], [-0.0431]], "bitstrings": ["111111100000", "000000000000"], "total_optimization_steps": 10, "probabilities": [0.00034738249778326424, 0.00034763627259490673], "optimization_time": 145.38574838638306} | -3.0 * (Z(0) @ Z(2)) + -3.5 * (Z(4) @ Z(2)) + -3.0 * (Z(4) @ Z(0)) + -3.5 * (Z(6) @ Z(2)) + -3.5 * (Z(6) @ Z(0)) + 1.5 * (Z(6) @ Z(4)) + -3.5 * (Z(3) @ Z(2)) + 1.5 * (Z(3) @ Z(0)) + -3.5 * (Z(3) @ Z(4)) + -4.0 * (Z(3) @ Z(6)) + -3.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(4)) + -3.0 * (Z(1) @ Z(6)) + -3... | 10 | 12 | 1 | {"smallest_eigenvalues": [-44.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -43.5, "smallest_bitstrings": ["000000000000"], "largest_eigenvalue": 40.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.13008759858450847) q[0];
ry(0.04814140547107665) q[1];
ry(-0.024655733817784714) q[2];
ry(-0.004024094900787173) q[3];
ry(-0.004024094900787173) q[4];
ry(-0.08505579427450477) q[5];
ry(-0.08386085251862338) q[6];
ry(-0.08386085251862338) q[7];
ry(-0.0850557942745... | 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[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 ... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZ",
"IIIIIIIZIZII",
"IIIIIIIZIIIZ",
"IIIIIZIIIZII",
"IIIIIZIIIIIZ",
"IIIIIZIZIIII",
"IIIIIIIIZZII",
"IIIIIIIIZIIZ",
"IIIIIIIZZIII",
"IIIIIZIIZIII",
"IIIIIIIIIZZI",
"IIIIIIIIIIZZ",
"IIIIIIIZIIZI",
"IIIIIZIIIIZI",
"IIIIIIIIZIZI",
"IIIIIIZIIZII",
"IIIIIIZIIIIZ",
"IIIIIZZII... | [
-3,
-3.5,
-3,
-3.5,
-3.5,
1.5,
-3.5,
1.5,
-3.5,
-4,
-3.5,
1,
1,
-3,
-3.5,
1,
0.5,
-3,
1,
-2.5,
-1.5,
0.5,
-2.5,
0.5,
-2,
0.5,
-2,
0.5,
1.5,
1,
-2,
1,
-2.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.972049 | [
-0.13008759858450847,
0.04814140547107665,
-0.024655733817784714,
-0.004024094900787173,
-0.08505579427450477,
-0.08386085251862338,
-0.4642932687706995,
-0.04011059343648443,
0.07018395499666373,
2.6188614690457697,
-0.21397028456939587,
-0.0030198802811453734,
0.0037670217299621105,
-0.0... | {
"n_parameters": 19,
"n_qubits": 12,
"optimal_eigenvalue": -44.5,
"target_ratio": 0.97,
"target_value": -43.165
} | 18 |
03fc078c7a20f2a5bd889c5ded444a79 | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [1677, 1709], "expectation_value": -2.5630416763510175, "params": [0.389, 0.3904, 0.3536, 0.3629, 0.0891, 0.08220000000000001, 0.49970000000000003, 0.4988, 0.07640000000000001, 0.0845, 0.3507, 0.3568, -0.0031000000000000003, 0.0035, 0.4953, 0.49210000000000004, 0.4803, 0.4892, 0.1645, 0.1857, 0.4851000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 14 | 11 | 3 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -2.4375, "small... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.7458612117327079) q[0];
ry(0.6495750082382797) q[1];
ry(0.19849836886601657) q[2];
ry(0.7945544215585383) q[3];
ry(0.45445253961516574) q[4];
ry(1.042695318827609) q[5];
ry(-0.13518844262444016) q[6];
ry(-0.03976612507910332) q[7];
ry(-0.10753231524194705) q[8];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIIIZZIIZ",
"IIIIIZIZIIZ",
"IIIIIZZIIIZ",
"IIIIIZZZIII",
"IIIIIZZZIIZ",
"IIIZZIIIIII",
"IIZIZIIIIII",
"IIIIIIIZIZI",
"IIIZIIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
... | 0.972174 | [
0.7458612117327079,
0.6495750082382797,
0.19849836886601657,
0.7945544215585383,
0.45445253961516574,
1.042695318827609,
-0.13518844262444016,
-0.03976612507910332,
-0.10753231524194705,
0.5546264892243202,
0.6490274125333221,
-0.04158803016067646,
0.017186750120609447,
0.0983259434559137,... | {
"n_parameters": 88,
"n_qubits": 11,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 79 |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [77, 46], "expectation_value": -0.23916421065999213, "params": [[-0.0639, -0.030600000000000002, -0.0383], [0.0809, 0.0521, 0.0555]], "bitstrings": ["0110010", "1010001"], "total_optimization_steps": 10, "probabilities": [0.011374582913206751, 0.011374582913206756], "optimization_time": 5.768474340438843} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4)... | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.125, -3.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.125, "smallest_bitstrings": ["1010001", "0110010"], "largest_eigenvalue": 5.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.8473521450627363) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.8473521450627363) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.042967194764701365) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(-0.8473521450627363) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZZII",
"IIZIZII",
"IIIZIIZ",
"IIZIIIZ",
"IZIIIIZ",
"IIZZIII",
"IZIZIII",
"IZZIIII",
"IIZZIIZ",
"IZIZIIZ",
"IZZIIIZ",
"IZZZIII",
"IZZZIIZ",
"ZZIIIII",
"ZIIIIZI",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
-0.125,
-0.5,
-0.5,
-0.125,
-0.125,
-0.125,
-0.5
] | 0.505615 | [
-0.8473521450627363,
-0.042967194764701365,
0.0646286253227127,
0.4276632086634684,
0.7850932252334482
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 131 |
bbe36c72142a04c8b1698fed3f77c25c | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [86, 54], "expectation_value": -2.0947827371901067, "params": null, "bitstrings": ["0101001", "1001001"], "total_optimization_steps": 51, "probabilities": [0.0730116655002035, 0.746544414918347], "optimization_time": 92.43467283248901} | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 1 | 7 | 2 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.25, "smallest_bitstrings": ["0101100", "1001001", "0100110", "1000110", "1000011", "0101001"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016228639223514973) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.016228639223514973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.016228639223514973) q[2];
cx q[0], q[2];
rz(-1.196649630207868) q[0];
rx(1.6249956830407981) q[0];
h ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.1871) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIIZZII",
"IIZIZII",
"IIZZIII",
"IIIZZIZ",
"IIZIZIZ",
"IIZZIIZ",
"IIZZZII",
"IIZZZIZ",
"IIIIZZI",
"IZIIIZI",
"ZIIIIZI",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"IZIIZZI",
"ZIIIZZI",
"ZZIIIZI",
"ZZIIZII",
"ZZIIZZI",
"IZIZIII",
"ZIZ... | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
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0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
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-0.125,
-0.125,
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0.5,
0.5,
-0.125,
-0.125,
0.25,
-0.125,
-0.125,
-0.125,
-0.125
] | 0.981439 | [
-0.016228639223514973,
1.522688419965938,
-1.1966496302078677,
1.624995683040798,
-0.8755811242009026,
0.7452257823272057,
0.2393407597375708,
0.22077208961471634
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
-5496995726423767974 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[1, 2], [0, 4], [3, 4]]} | {"states": [26, 22], "expectation_value": -1.3449506149011061, "params": null, "bitstrings": ["00101", "01001"], "total_optimization_steps": 27, "probabilities": [0.055377137294705024, 0.7831782156395138], "optimization_time": 15.233179330825806} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.5, "smallest_bitstrings": ["01001", "00101", "11010", "10110"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-1.1960618237337863) q[1];
cx q[2], q[1];
rz(-1.8370526433386658e-08) q[1];
rx(0.7853981874169259) q[1];
rz(-1.8370526433386658e-08) q[2];
rx(0.7853981874169259) q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-1.1960618237337863) q[0];... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... | [
"IIZZI",
"ZIIIZ",
"ZZIII",
"IIZII",
"IIIZI",
"ZIIII",
"IIIIZ",
"IZIII"
] | [
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.733945 | [
-1.1960618237337863,
-1.8370526566657042e-8,
0.785398187416926
] | {
"n_parameters": 3,
"n_qubits": 5,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 83 |
d75363653ef00cde7e482c2c3392dff7 | 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": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [256, 255], "expectation_value": -0.12561157927377603, "params": [[0.0068000000000000005, -0.0507], [-0.0431, 0.05]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0021504799326791182, 0.002171971454455962], "optimization_time": 3.4731523990631104} | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(8) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-5.75, -5.75, -5.75, -5.75, -5.75, -5.75, -5.75, -5.75], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.75, "smallest_bitstrings": ["111110010", "111110000", "111110110", "111110100", "101000000", "101110010", "101110000", "100000000"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.5800016602217045) q[0];
ry(-3.0160182889402423) q[1];
rz(-pi) q[1];
ry(-0.7937295761698439) q[2];
rz(-pi) q[2];
h q[3];
ry(0.7483050100221447) q[3];
h q[4];
cx q[4], q[3];
ry(-0.7483050100221447) q[3];
cx q[4], q[3];
ry(0.5506897500678624) q[4];
cx q[3], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZI",
"IIZIIIIZI",
"IIIIZZIII",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIZIZIII",
"IIIZZIIII",
"ZIIZIIIII",
"IZIIIZIII",
"IZIIIIZII",
"IZIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIZIIIIII",
"IIIIZIIII",
"... | [
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
0.25,
-1,
0,
-1.25,
-0.25,
1.5,
1.25
] | 0.97588 | [
1.635354928027199,
1.6535551550449947,
1.4966100200442893,
1.2823506458400487,
-1.160003320443409,
1.2213443738772067,
1.3259987864913463,
-0.7536541197185559,
1.1013795001357247,
0.24812610013146263,
0.3257426326105941,
-0.5864937370001171,
-0.3811460272498714,
-0.024507037660432593,
0.... | {
"n_parameters": 38,
"n_qubits": 9,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 2 |
30ba64f2314d12dd7a4bba52fce6e2f0 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 4, "source": 2, "target": 4}, {"capaci... | {"states": [62, 31], "expectation_value": -1.8742025923750207, "params": [[-0.0787, -0.0813, -0.081], [0.0755, 0.0765, 0.07540000000000001]], "bitstrings": ["000001", "100000"], "total_optimization_steps": 10, "probabilities": [0.037698201937193136, 0.04224734819556644], "optimization_time": 3.3524746894836426} | -0.75 * (Z(0) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -1.75 * (Z(2) @ Z(4)) + -0.75 * (Z(1) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + 1.25 * (Z(5) @ Z(0)) + 0.25 * Z(3) + -0.25 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + 0.75 * Z(1) + 0.25 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000", "111110", "101110"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(0.013998913927963777) q[0];
rz(-0.17149443553368027) q[0];
rx(0.9176296645850912) q[1];
rz(-0.008414519479911217) q[1];
rx(-0.07133329756888002) q[2];
rz(-0.28009948850485156) q[2];
rx(-0.07133329756888002) q[3];
rz(-0.21658522262626537) q[3];
rx(0.050114731907889454... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IZZIII",
"IZIIIZ",
"IZIZII",
"IIIZZI",
"ZIZIII",
"ZIIIIZ",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIIIZI",
"ZIIIII"
] | [
-0.75,
-1,
-0.25,
-1.75,
-0.75,
-1,
1.25,
0.25,
-0.25,
-0.5,
-0.5,
0.75,
0.25
] | 0.974597 | [
0.013998913927963777,
-0.17149443553368027,
0.9176296645850912,
-0.008414519479911217,
-0.07133329756888002,
-0.28009948850485156,
-0.21658522262626537,
0.050114731907889454,
0.09333842897412256,
2.434106439818495,
0.40266511199623956
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 9 |
59c7bf586b1b6ff0483e10c6bee5d678 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [38, 7], "expectation_value": -6.110305311659083, "params": [[0.0354, -0.011600000000000001, -0.0543, -0.06960000000000001], [-0.0539, -0.039900000000000005, 0.025, 0.061900000000000004]], "bitstrings": ["1011001", "1111000"], "total_optimization_steps": 10, "probabilities": [0.015254636231560752, 0.01585801... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 12 | 7 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.09852088117442483) q[0];
rz(0.2464321943833836) q[0];
rx(0.013740361534353596) q[1];
rz(0.12256695080273028) q[1];
rx(0.05080481933461604) q[2];
rz(0.549588069015392) q[2];
rx(0.06690848796093422) q[3];
rz(0.38811176682309867) q[3];
rx(0.877826886335347) q[4];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
2.25,
2.5,
2.5,
2.5,
-3.25,
-3.75,
-3.5,
-3.25,
-3,
-2.75,
-3
] | 0.972546 | [
0.09852088117442481,
0.29714743619100425,
0.013740361534353596,
0.1099884739568158,
0.050804819334616044,
0.589456889889742,
0.06690848796093424,
0.10021892232913784,
0.8778268863353469,
0.10725033732893174,
0.6196906577153632,
0.08294956462237285,
0.6366887474608689,
0.13202917432697883,
... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 12 |
6512650cf6e89a13be11a148f896da5d | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [254, 238], "expectation_value": -2.086488855606059, "params": [0.0018000000000000002, 0.0019, 0.5822, 0.5733, 1.0076, 0.9998, 0.9973000000000001, 0.9923000000000001, 1.0032, 1.0089000000000001, 0.5801000000000001, 0.5868, 0.9987, 1.0, 1.0014, 1.0001, 1.0061, 1.0032, 0.0027, 0.0027, 0.6605000000000001, 0.141... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(4) @ Z(1) @ Z(2)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.875, "smallest_bitstrings": ["1001001001", "1100010001", "1001010001", "1100000101", "1010010001", "1101000001", "1000110001"], "largest_eigenvalue": 6.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.183297687329079) q[0];
rz(-0.03664039058173074) q[0];
rx(0.1260084799916275) q[1];
rz(0.8472975682950814) q[1];
rx(0.1212579490174453) q[2];
rz(-0.002983955011109707) q[2];
rx(-0.14987668680080724) q[3];
rz(0.7146256211124697) q[3];
rx(1.0460298228262972) 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": []} | [
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIZZZI",
"IIIIIZIZZI",
"IIIIIZZIZI",
"IIIIIZZZII",
"IIIIIZZZZI",
"IIIIZIIIZI",
"IIIZIIIIZI",
"IIIZZIIIII",
"IIIZZIIIZI",
"IIIIIIIZIZ",
"IIZIIIIIIZ",
"IZIIIIIIIZ",
"IIZIIIIZII",
"IZIIIIIZII"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
... | 0.972407 | [
1.183297687329079,
0.11165584030740083,
0.1260084799916275,
0.5578048984124397,
0.12125794901744529,
0.09852660045503009,
-0.14987668680080726,
0.5980883483780792,
1.0460298228262972,
0.04247638264942648,
0.9661083981195688,
-0.23005470247308346,
-0.14241558920246883,
0.2010463011399342,
... | {
"n_parameters": 58,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 14 |
fb3661142d8e003905bb73659b60c8ab | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [782, 750], "expectation_value": -0.2812341160052658, "params": [[0.0025, -0.0026000000000000003, -0.4969, 0.9214, 1.2309, -0.0029000000000000002, 0.2666, 1.5689000000000002, 0.7889, 0.0025, -0.0021000000000000003], [0.0025, 0.4914, 0.0021000000000000003, 1.9448, -2.0259, -3.0793, -0.0023, -1.411800000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(2) @ Z(7)) + 0.125 * (Z(2) @ Z(8)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(4) @ Z(8)) + 0.125 * (Z(7) @ Z(8)) + -0.125 * (Z(4) @ Z(2) @ Z(7)) + ... | 9 | 11 | 4 | {"smallest_eigenvalues": [-3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.65625, "smallest_bitstrings": ["10100010001", "01010010100", "10100010100", "01100100100", "01010100100", "01101000001... | 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(0.25592938562548495) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.25592938562548495) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(0.25592938562548495) q[1];
cx q[4], q[1];
cx q[4], q[3];
rz(0.2559293... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIZZZIIII",
"IIIIIIZIZII",
"IIIZIIIIZII",
"IIZIIIIIZII",
"IIIZIIZIIII",
"IIZIIIZIIII",
"IIZZIIIIIII",
"IIIZIIZIZII",
"IIZIIIZIZII",
"IIZZIIIIZII",
"IIZZIIZIIII",
"IIZZIIZIZII",
"IIIIIIIZIIZ",
"IIIIIZIII... | [
0.5,
0.5,
0.25,
0.25,
0.25,
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0.125,
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0.03125,
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0.03125,
0.03125,
0.03125,
0.03125,
-... | 0.924739 | [
0.25592938562548495,
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0.803276814258165,
-0.9817149154994218,
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1.0070577492345878,
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0.026527124002056205,
-0.045266137886553835,
-2.4191350823878968,
-1.8592558869391052,
-0.305400682481034,... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 500 |
081a3ef2a02910794db9cb14b9d27e2c | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [12, 18], "expectation_value": -0.4352141363846087, "params": [[0.07250000000000001, 0.07590000000000001, 0.07350000000000001], [-0.0772, -0.0791, -0.07150000000000001]], "bitstrings": ["10011", "01101"], "total_optimization_steps": 10, "probabilities": [0.045855123139065146, 0.04585512313906517], "optimizat... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["10011", "01101", "11001", "10110", "01110"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3032958163120794) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(-0.3032958163120794) q[0];
cx q[2], q[0];
rz(0.8552742360724439) q[0];
rx(0.459671657095483) q[0];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.3032958163120794) q[3];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZIZ",
"ZZIII",
"IZIZI",
"ZIZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.971835 | [
-0.3032958163120794,
0.8552742360724437,
0.459671657095483,
-0.19969798362318422,
-0.5347021902916858,
0.39881531451821206,
-0.8390846379262727,
0.5552620141921045,
0.31915477986402796,
-0.8857236685748646,
1.4111741889625347,
0.36007566681044045
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 49 |
01c79553cd838cd252f6e60dedff49e5 | 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": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 3, "source": 2, ... | {"states": [128, 127], "expectation_value": -0.5731925348133442, "params": [[0.0771], [-0.0782]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.005553573391395053, 0.005727595484107128], "optimization_time": 2.3928308486938477} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -2.0 * (Z(3) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.0845213497005627) q[0];
rz(-pi) q[1];
ry(-3.0455609286004646) q[1];
h q[2];
ry(1.4919071887247282) q[2];
h q[3];
ry(0.7240132628322454) q[3];
h q[4];
ry(0.9793324905949224) q[4];
h q[5];
ry(1.5402453113042955) q[5];
h q[6];
cx q[6], q[3];
ry(-0.72401326283... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
r... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIZZI",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IZIIIZII",
"IZIIIIZI",
"IZIIZIII",
"IIIZIIZI",
"IZIZIIII",
"IIIZZIII",
"IIZIIZII",
"IIZIIIZI",
"IZZIIIII",
"IIZZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"ZIIIIIII",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII",
"IIZIIII... | [
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-1,
0.5,
-0.25,
-0.25,
-0.75,
-1.25,
0.5,
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2.25
] | 0.977783 | [
1.5402453113042955,
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1.4919071887247282,
1.6837402841554543,
1.958664981189845,
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1.9567893576185749,
2.1258717747278064,
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3.770151024236896,
-0.7583358906758061,
-0.4200762250226027,
1.8848100973159259,
-1.08... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 81 |
75e38f85452ebc08ee898a0ac8b18be5 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target"... | {"states": [430, 441], "expectation_value": -0.16703836136972017, "params": [[-0.0536, -0.0376, -0.0419, 0.0753], [0.07010000000000001, 0.057100000000000005, 0.0644, -0.007500000000000001]], "bitstrings": ["001010001", "001000110"], "total_optimization_steps": 10, "probabilities": [0.0026714522933381146, 0.002671452293... | 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... | 1 | 9 | 4 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 21, "first_excited_energy": -1.375, "smallest_bitstrings": ["000100110", "100000110", "0001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-1.5895904143898432) q[0];
ry(-0.061831462572773416) q[1];
rz(-pi) q[1];
ry(-3.1211665634162276) q[2];
rz(-pi) q[2];
ry(-0.05067198498523348) q[3];
rz(-pi) q[3];
h q[4];
ry(1.4339466124722804) q[4];
cx q[4], q[3];
ry(0.12544642904227837) q[3];
cx q[4], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIZZIIIZ",
"IIZIZIIIZ",
"IIZZIIIIZ",
"IIZZZIIII",
"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
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0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
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0.125,
0.25,
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0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.... | 0.997795 | [
-1.5895904143898432,
-1.4880487849715875,
-1.3946779127673847,
1.4339466124722804,
-0.25089285808455675,
0.23284724829810097,
0.08137959326879629,
-0.04183215850107143
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
3ab147cc948c972495cc9d6b1a04d6d2 | 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": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [52, 37], "expectation_value": -3.4890656588000333, "params": null, "bitstrings": ["001011", "011010"], "total_optimization_steps": 29, "probabilities": [0.06023624492936539, 0.8645378003136043], "optimization_time": 25.261548042297363} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(1) + -0.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["011010", "000111", "010110", "001011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.2617382474824059) q[0];
rz(-0.25556683543857517) q[0];
rx(3.2549553359388126) q[1];
rz(-0.1904150377377148) q[1];
rx(0.11533762007237594) q[2];
rz(0.15040563274986068) q[2];
rx(-0.11428203016202747) q[3];
rz(0.06697334278189641) q[3];
rx(3.1542430010311207) q[4];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IZIIIZ",
"IZIIZI",
"ZZIIII",
"ZIIIZI",
"IZIZII",
"IZZIII",
"IIZZII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.977185 | [
-0.2617382474824059,
-0.33943598223353566,
3.2549553359388126,
-0.1904150377377148,
0.11533762007237594,
0.15040563274986068,
-0.11428203016202747,
0.06697334278189641,
3.1542430010311207,
0.320444768261287,
3.301363365899691,
-0.4991032485906577,
3.212741703886446,
-0.18414658324060862,
... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 28 |
251c225029b23900c5d41a0a241e8f62 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [5963, 5967], "expectation_value": -2.915139973550813, "params": [3.0994, 0.0019, -0.0029000000000000002, 0.005200000000000001, 3.0885000000000002, 0.008, 3.0949, 0.008, 3.0775, 0.008, 0.9142, 0.0024000000000000002, 3.0898000000000003, 0.002, 0.6333000000000001, 0.0067, 0.6467, 0.009600000000000001, 3.0857, ... | 0.5 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(5) @ Z(3)) + 0.0625 * (Z(5) @ Z(4)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0)... | 16 | 13 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eig... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.4736268371542338) q[0];
rz(-0.122847111341981) q[0];
ry(1.447375041311368) q[1];
rz(-0.21821365704593082) q[1];
cx q[1], q[0];
ry(-0.6970336969324273) q[0];
rz(0.18220853940307208) q[0];
ry(0.6588213546960189) q[1];
rz(0.2338143718655757) q[1];
ry(1.82391628025566... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZIZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIZIIIZ",
"IIIIIIIZIIIIZ",
"IIIIIIIIIZZII",
"IIIIIIIIZIZII",
"IIIIIIIZIIZII",
"IIIIIIIIZZIII",
"IIIIIIIZIZIII",
"IIIIIIIZZIIII",
"IIIIIIIIIZZIZ",
"IIIIIIIIZIZIZ",
"IIIIIIIZIIZIZ",
"IIIIIIIIZZIIZ",
"IIIIIIIZIZIIZ",
"IIIIIIIZZII... | [
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
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-0.0625,
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0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.5,
0.125,
0.125,
0.125,
0.12... | 0.973828 | [
0.4736268371542338,
-0.122847111341981,
1.447375041311368,
-0.21821365704593082,
1.8239162802556628,
0.14945613049568937,
-0.2763167545219362,
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0.06994388806984095,
0.16160993324535441,
-0.008597506656845258,
0.18272944424579318,
-0.04179338265250071,
0.997951130456255... | {
"n_parameters": 92,
"n_qubits": 13,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 152 |
79dbb46672568dd6da53fdf988683370 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 2, "source": 0, "t... | {"states": [118, 110], "expectation_value": -17.68476652601243, "params": [[-0.0334, 0.044700000000000004, 0.0285], [0.0674, -0.0373, -0.061200000000000004]], "bitstrings": ["10001001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.01118927679609659, 0.014715865223788831], "optimization_time": 5.5338... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 10.0 * Z(1) + 5.5 * Z(0) + 14.5 * Z(4) + 15.0 * Z(2) + 7... | 1 | 8 | 3 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -56.5, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 132.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-0.14739604000192053) q[0];
ry(3.019875982413196) q[0];
rz(3.133045858754553) q[0];
rz(0.14681821349369484) q[1];
ry(0.16625292729472163) q[1];
rz(1.4294168654831019) q[1];
rz(1.2186812571693961) q[2];
ry(0.32253940399967884) q[2];
rz(-1.632413822773313) q[2];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIZI",
"IIIIIZIZ",
"IIIZIZII",
"IIIZZIII",
"IIIIZZII",
"IIZIIIIZ",
"IIZIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
5.5,
14.5,
15,
7,
14.5,
11,
1
] | 0.976253 | [
0.7464408162705116,
-0.033729247253251216,
-0.11552461607907104,
0.5196528554019153,
0.0886254211082439,
-0.17444899387284873,
0.8983531351940277,
0.003628901528802731,
-0.29980800833140264,
0.7491406770668805,
-0.004650044602488298,
0.13723474935698732,
-0.19427224913628832,
0.18990325270... | {
"n_parameters": 54,
"n_qubits": 8,
"optimal_eigenvalue": -42.5,
"target_ratio": 0.97,
"target_value": -41.225
} | 14 |
43f346f2449aaad74bd3d1617b2cab32 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [22, 13], "expectation_value": -0.5643825054625168, "params": [[-0.0543, -0.0631, -0.0592], [0.0591, 0.0658, 0.0678]], "bitstrings": ["101001", "110010"], "total_optimization_steps": 10, "probabilities": [0.02485098518056013, 0.02485098518056014], "optimization_time": 4.289806127548218} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["101001", "110010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.4099597405997399) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.4099597405997399) q[3];
cx q[0], q[3];
rz(0.5379425344598752) q[3];
rx(-1.0181627007712197) q[3];
h q[4];
cx q[2], q[4];
rz(0.4099597405997399) q[4];
cx q[2], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} | [
"IIIZIZ",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IIIZZI",
"ZZIIII",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0,
-1,
-0.5,
-0.5
] | 0.756698 | [
0.4099597405997399,
-0.5276923746122105,
0.5379425344598753,
-0.15590122747147514,
-1.0181627007712197,
0.9194045375777744,
-1.0915528273895585,
-0.4028415862936717,
-0.5859290117404532
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 223 |
4187cb356e6f58a0c6714f20153352eb | 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": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "s... | {"states": [145, 147], "expectation_value": -10.999986261504706, "params": null, "bitstrings": ["101101110", "101101100"], "total_optimization_steps": 41, "probabilities": [0.49999845943863325, 0.49999997784832195], "optimization_time": 56.32380795478821} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -1.5 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(5)) + 1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(4) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-11.0, -11.0, -11.0, -11.0, -11.0, -11.0, -11.0, -11.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -10.0, "smallest_bitstrings": ["101111110", "111111110", "111101100", "111111100", "111101110", "101101110", "101101100", "101111100"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-1.5081500063348694) q[0];
h q[1];
ry(0.8065816535019376) q[1];
h q[2];
ry(-0.7540750031674347) q[2];
h q[3];
ry(-0.7540750031674347) q[3];
h q[4];
ry(1.6131633070038751) q[4];
cx q[4], q[1];
ry(-0.8065816535019376) q[1];
cx q[4], q[1];
cx q[4], q[2];
ry(0.75... | 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[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] = m... | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIZIIZII",
"IIIZIIIZI",
"IIZIIIZII",
"IIZIIZIII",
"IIZIIIIZI",
"IIZZIIIII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIIIZIZII",
"IIIIZZIII",
"IIIZZIIII",
"IIZIZIIII",
"IZIIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"... | [
-0.25,
-0.75,
-0.75,
-0.5,
-1.5,
-0.25,
-0.5,
-0.25,
-1.5,
-0.75,
1.25,
-0.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-2,
-0.25,
-1.5,
1.5,
0,
-0.75,
0.5,
2,
0.5
] | 0.994759 | [
1.6131633070038751,
-1.5081500063348694,
1.454332119459762,
-1.566270194312548,
-1.4608687802827236,
0.027334740020596077,
-0.043700135081208874,
0.014272153998925395,
0.013217836416566887,
-0.14540721110637736,
-0.029155185286489253,
-0.06689160939984991
] | {
"n_parameters": 12,
"n_qubits": 9,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 1 |
74e5b8afd1f04f850c8f51ecde3fef19 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": ... | {"states": [883, 971], "expectation_value": -0.3439647400891914, "params": [[-0.0473, -0.0614, -0.0529, -0.0247], [0.047, 0.0712, 0.0699, 0.0555]], "bitstrings": ["0010001100", "0000110100"], "total_optimization_steps": 10, "probabilities": [0.0019556904738751687, 0.001958628462051335], "optimization_time": 28.95118761... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 1 | 10 | 4 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.4375, "smallest_bitstrings": ["0000110100", "1000000101", "0001010010", "0010001100"], "largest_eigenvalue": 5.5625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3288835488220096) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(-0.3288835488220096) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.3288835488220096) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(-0.3288835488220096) q[0];
cx q[3], q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIZIIZZ",
"IIIIIIZZIZ",
"IIIIIZIZIZ",
"IIIIIZZIIZ",
"IIIIIIZZZI",
"IIIIIZIZZI",
"IIIIIZZIZI",
"IIIIIZZZII"... | [
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,
0.25,
0.25... | 0.710578 | [
-0.3288835488220096,
-0.4569013984649304,
0.39546902870984457,
-0.3214849664719219,
0.9367080556633262,
0.16515648853293044,
-0.1360939212779516,
0.39540444651921214,
0.8277812160071212,
-0.22629743565087163,
-0.6257377300833731,
0.5468911503864696,
0.21370137785717494,
0.4954772027731417,... | {
"n_parameters": 21,
"n_qubits": 10,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 500 |
d33bc1e38a91534ccb33169ef0b03611 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, ... | {"states": [46, 45], "expectation_value": -4.9998837620571175, "params": null, "bitstrings": ["1010001", "1010010"], "total_optimization_steps": 31, "probabilities": [1.6414156690144308e-05, 0.99991518128], "optimization_time": 33.15405249595642} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(6) + -1.0 * Z(5) + 0.0 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1010010"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.1251468189592682) q[0];
rz(-0.14910931151278822) q[0];
ry(0.1931090250082294) q[1];
rz(0.8906908736248537) q[1];
cx q[1], q[0];
ry(-0.07653128982389744) q[0];
rz(0.9759822597761411) q[0];
ry(0.7240441025509706) q[1];
rz(-0.09699030525937063) q[1];
ry(0.914195958036... | 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[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] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIIZZII",
"ZIIIIIZ",
"ZIIIZII",
"IZIIZII",
"ZZIIIII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1.5,
-1.5,
-0.5,
-1,
-1,
0
] | 0.970567 | [
0.1251468189592682,
-0.14910931151278822,
0.1931090250082294,
0.8906908736248537,
0.9141959580361719,
-0.20159325551699214,
-0.20511898902568937,
-1.0051648929287569,
1.5424885403455644,
0.11079567101696407,
0.8126566431225749,
0.5404654844320026,
0.18310061594619942,
-0.455330562430314,
... | {
"n_parameters": 62,
"n_qubits": 9,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 72 |
93141c357d164fcf2a36ba666f8f01e3 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [22, 25], "expectation_value": -0.2747380852391575, "params": [[-0.049100000000000005, -0.048400000000000006, -0.060700000000000004, -0.0714], [0.0641, 0.058, 0.0621, 0.06910000000000001]], "bitstrings": ["01001", "00110"], "total_optimization_steps": 10, "probabilities": [0.04905472141560516, 0.049054721415... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["00110", "01001"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1714898456555271) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.1714898456555271) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1714898456555271) q[1];
cx q[1], q[0];
rz(-0.24938667349607663) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIZIZ",
"IIZZI",
"IIZZZ",
"IZIIZ",
"ZIIIZ",
"ZZIII",
"ZZIIZ",
"IZIZI",
"ZIZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0,
-0.25,
-0.25,
-0.25,
-0.25
] | 0.525188 | [
0.1714898456555271,
-0.24938667349607663,
1.1176635259891476,
0.8103834446690221,
-0.7718739166458187
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 163 |
1859b1705def095dd883d1526ddc2bd1 | 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}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 6}, {"weight": 14, "source": 1, "target": 3}, {"weight": 16, "sour... | {"states": [327, 326], "expectation_value": -47.5860112929438, "params": [[[1.5685, 0.0027], [0.0027, -1.0581], [1.5676, -0.0026000000000000003], [-0.0023, 1.3064], [0.0028, 1.4688], [0.0029000000000000002, 1.1275], [1.5671000000000002, 0.0035], [1.5748, -0.0036000000000000003], [0.7387, -0.6321]], [[1.5671000000000002... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(5) @ Z(6)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) @ Z(7)) + 0.0 * Z(1) + 0.0 * Z(0) + -8.0 * Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-48.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -47.0, "smallest_bitstrings": ["010111001"], "largest_eigenvalue": 76.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(0.2900316005979695) q[0];
ry(3.0710818444996075) q[0];
rz(-2.938783072167808) q[0];
rz(-0.3196489535736684) q[1];
ry(0.09421507231395843) q[1];
rz(-0.70050421479525) q[1];
rz(-3.0440301702801538) q[2];
ry(3.056416847726029) q[2];
rz(0.06637848609245145) q[2];
rz(2.27... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIZIIIIZI",
"IIZZIIIII",
"IZIIIIIZI",
"IZZIIIIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
0,
0,
-8,
-2,
-6,
2,
-2.5,
1,
4.5
] | 0.983578 | [
1.6092861455075007,
-0.06767747845659695,
-1.170112514215796,
1.679789691187887,
0.08519912818002777,
0.07667601059580931,
1.4132556344661245,
0.10648412075237697,
1.5717858392958381,
-0.056744871389530556,
1.333571674086118,
1.512244949547982,
0.04974043319494746,
1.6568985710562605,
-0... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -48,
"target_ratio": 0.97,
"target_value": -46.56
} | 1 |
3bcfe4648282d1b3b76d6f42e87e5c5d | 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": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [28, 44], "expectation_value": -3.996398041568144, "params": null, "bitstrings": ["100011", "010011"], "total_optimization_steps": 25, "probabilities": [0.06635196634064289, 0.9303270202946885], "optimization_time": 27.233569383621216} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 * Z(5) + -0.5 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["100011", "010011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.4983893330425997) q[1];
cx q[0], q[1];
ry(0.4983893330425997) q[1];
cx q[0], q[1];
ry(1.066076181721017) q[0];
ry(-0.5938713995022797) q[1];
h q[2];
ry(1.5402154026626123) q[2];
h q[3];
ry(1.5402154026626123) q[3];
ry(-0.17623757719026006) q[4];
rz... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IZIZII",
"ZIZIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IZIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-2,
-0.5,
-1,
-0.5
] | 0.996974 | [
-1.5938656292948508,
-1.3287538149981546,
1.5402154026626123,
-0.9967786660851994,
0.7888739065478406,
-0.13160986921296364,
-0.42930010710070565,
0.5544045503463523,
-0.32914258480314823,
0.19808762382699582,
-0.14239960728529294,
0.027159174901727368,
0.17468980324708977,
-0.025156201310... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
eef64d2a5dbf018785bb2eafc31c3245 | 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": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 6, "source": 3, ... | {"states": [142, 15], "expectation_value": -12.54072650143698, "params": null, "bitstrings": ["01110001", "11110000"], "total_optimization_steps": 59, "probabilities": [0.15680630545508087, 0.7790726482613731], "optimization_time": 58.781304597854614} | -1.25 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + 2.5 * (Z(7) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(6) @ Z(7)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 1.0 * Z(7) + -2.25 * Z(2) + -0.5 * Z(4) + 2.0 * Z(5) + 0.75 * Z(6) | 1 | 8 | 2 | {"smallest_eigenvalues": [-14.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["11110000"], "largest_eigenvalue": 14.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.10702764500306078) q[0];
rz(1.8460079357091796) q[0];
rx(-0.09900207468748345) q[1];
rz(1.810072638291011) q[1];
rx(-0.10295100411381941) q[2];
rz(1.8216471371099985) q[2];
rx(-0.08088515754317219) q[3];
rz(1.6163125792682465) q[3];
rx(0.3932787664762013) q[4];
rz... | 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[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... | [
"IIIIIIZZ",
"IIIIZIIZ",
"ZIIIIIIZ",
"IIIIZZII",
"ZIIZIIII",
"IIZIIZII",
"IIZZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-1.25,
-1,
2.5,
-1.5,
-0.75,
-0.75,
-1.25,
-0.75,
-1.25,
-0.25,
0.5,
1,
-2.25,
-0.5,
2,
0.75
] | 0.980626 | [
-0.10702764500306078,
0.27521160891428315,
-0.09900207468748345,
0.2392763114961134,
-0.10295100411381941,
0.2508508103151006,
-0.08088515754317219,
0.04551625247334859,
0.39327876647620125,
0.06958748977032685,
0.7492571955383739,
-0.2769461864098085,
0.47868772864866804,
-0.1464960204355... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -14.75,
"target_ratio": 0.97,
"target_value": -14.3075
} | 16 |
e5ad9c08c01c1ebe8aa9222d011acce6 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 5, "source": 2, "target": 4}, {"capaci... | {"states": [17, 31], "expectation_value": -4.335116996798767, "params": null, "bitstrings": ["101110", "100000"], "total_optimization_steps": 51, "probabilities": [0.12902492310277472, 0.45615066958250355], "optimization_time": 43.78362965583801} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -1.25 * (Z(2) @ Z(4)) + -1.75 * (Z(3) @ Z(4)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(5) + 0.0 * Z(4) + 1.25 * Z(2) + -0.75 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.26563194476290347) q[0];
h q[1];
ry(0.46063529140043846) q[1];
h q[2];
ry(0.4160543927876555) q[2];
h q[3];
h q[4];
cx q[4], q[2];
ry(-0.4160543927876555) q[2];
cx q[4], q[2];
ry(1.6498259376990079) q[4];
cx q[3], q[4];
ry(-1.6498259376990079) q[4];
cx q[3... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5706) 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];\n", "OPENQASM 3.0;\ninclude \... | [
"IIIIZZ",
"ZIIIZI",
"ZIIIIZ",
"IZIIZI",
"ZZIIII",
"IZIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IZIIII",
"IIIZII",
"IIZIII"
] | [
-0.25,
-1,
0.5,
-0.25,
-0.25,
-1.25,
-1.75,
0.5,
-0.25,
-0.75,
0,
1.25,
-0.75
] | 0.970728 | [
0.832108785575311,
3.2996518753980157,
0.9212705828008769,
0.03287511214956562,
3.394820406287191,
-2.3713296475445462,
0.9130008242406561,
-0.23955336433664093,
-0.5312638895258069,
0.3015182015816523,
-0.7704132928114164,
0.6044840534319791,
-0.026283715182854293,
-0.836787649712148,
-... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 236 |
8e4b273e62e3bdbcb042f56fe9c0bd31 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [22, 19], "expectation_value": -2.996515537770063, "params": null, "bitstrings": ["101001", "101100"], "total_optimization_steps": 22, "probabilities": [0.06700898087125177, 0.9297460398076854], "optimization_time": 15.7501060962677} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["101001", "110100", "101100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.003570858544960076) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(0.003570858544960076) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz(0.003570858544960076) q[1];
cx q[1], q[0];
rz(-0.11726358043627519) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) 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",
"ZIIIIZ",
"IZIIIZ",
"IIIZZI",
"ZIZIII",
"IIZZII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IZIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
0,
-0.5,
-0.5
] | 0.762533 | [
0.003570858544960076,
-0.11726358043627519,
-0.6462594328548128,
1.611929135236777,
0.6371699566376291,
0.9513101502862553,
0.03572501092869963,
0.07116209703665359,
-1.4784117063539257,
-0.06107024763807288,
0.8005656144892781,
0.538238114406948
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 320 |
784a7d1914642d32b8d9e24da5ce100e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, ... | {"states": [36, 56], "expectation_value": -2.539336699162436, "params": [0.014700000000000001, 0.3372, 0.8016000000000001, -0.0015, 0.4827, -0.0006000000000000001, 0.8064, -0.0063, 0.8084, 0.0222, 0.5838, -0.1708, 0.163, 0.3592, 0.0137, 0.2685, 0.7946000000000001, 0.0007, 0.47800000000000004, -0.0013000000000000002, 0.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) + -0.5 * Z(1) + -1.0 * Z(6) | 4 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001011", "1000111", "1111000", "0111100"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.7397964017790035) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(-0.7397964017790035) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(-0.7397964017790035) q[4];
cx q[0], q[4];
rz(0.8795768044253869) q[0];
rx(-0.730140045951841... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIZI",
"ZIIIZII",
"ZIIZIII",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-0.5,
-0.5,
-0.5,
-1
] | 0.738887 | [
-0.7397964017790035,
0.8795768044253864,
0.32475766842351955,
-0.7301400459518418,
0.34610326116608253,
-0.07670284995624277,
0.0651643830681458,
1.6023376137444998
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 219 |
-3107819100836678436 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4, 6], [2, 5], [0, 3, 7], [0, 1, 5, 7], [0, 1, 6], [2, 4, 7], [2, 6, 7], [0, 4, 7], [1, 2, 4, 6], [2, 3], [4, 5]]} | {"states": [229, 233], "expectation_value": -3.172054981842681, "params": null, "bitstrings": ["00011010", "00010110"], "total_optimization_steps": 49, "probabilities": [0.10238039455126943, 0.8183221774693832], "optimization_time": 72.56321167945862} | 0.3333333333333333 * (Z(0) @ Z(4)) + 0.25 * (Z(6) @ Z(4)) + 0.3333333333333333 * (Z(6) @ Z(0)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(4)) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.250000000000001, "smallest_bitstrings": ["00010110"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.007486484813023691) q[0];
cx q[4], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(0.013896765180980626) q[6];
cx q[4], q[6];
cx q[0], q[6];
cx q[4], q[2];
rz(0.013896765180980626) q[2];
cx q[4], q[2];
cx q[4], q[5];
r... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\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] = measure q[... | [
"IIIZIIIZ",
"IZIZIIII",
"IZIIIIIZ",
"IIIZIZII",
"IZIIIZII",
"IIZZIIII",
"IIZIIIIZ",
"IIZIIZII",
"IIIIZIIZ",
"IIIIZZII",
"ZIIZIIII",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZIIIZIII",
"IIIZIIZI",
"IIIIIIZZ",
"IZIIIIZI",
"IIIIIZZI",
"IIZIIIZI",
"ZIIIIIZI",
"IIIZIII... | [
0.3333333333333333,
0.25,
0.3333333333333333,
0.25,
0.25,
0.5,
0.08333333333333333,
0.5,
0.16666666666666666,
0.5,
0.3333333333333333,
0.41666666666666663,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.25,
0.25,
0.0833... | 0.657399 | [
0.007486484813023691,
0.013896765180980626,
0.09598063417271661,
0.001338782434699213,
-0.41598625801977374,
1.6729470866341007,
1.3402171100091533,
-0.016292969600204356,
1.5252628429939825,
-1.5444292048762382,
-1.3155280890563001
] | {
"n_parameters": 11,
"n_qubits": 8,
"optimal_eigenvalue": -3.333333333333334,
"target_ratio": 0.97,
"target_value": -3.233333333333334
} | 259 |
ad7ba83290870f78ee39f06faaa6d5c0 | 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": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [125, 127], "expectation_value": -6.144746033732121, "params": null, "bitstrings": ["10000010", "10000000"], "total_optimization_steps": 59, "probabilities": [0.3669769650464584, 0.3669769650464584], "optimization_time": 74.45485591888428} | -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 | 2 | {"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... | 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(1.5706) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"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 |
077f198bc0fce65d2ae370af3d345932 | 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": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 6}, {"source": 4, "target":... | {"states": [511, 447], "expectation_value": -17.672196953830564, "params": [[[0.0025, 2.6099], [-0.0023, -0.0024000000000000002], [1.5839, 0.0029000000000000002], [0.0023, -0.0026000000000000003], [0.0017000000000000001, 0.0021000000000000003], [0.003, 0.0023], [-0.0021000000000000003, -0.0029000000000000002], [0.00240... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(3) @ Z(5)) + -3.0 * (Z(8) @ Z(5)) + -3.0 * (Z(8) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + -3.0 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + -3.0 *... | 15 | 9 | 1 | {"smallest_eigenvalues": [-19.5, -19.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -18.5, "smallest_bitstrings": ["001000000", "111000000"], "largest_eigenvalue": 23.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.04792645943624527) q[0];
ry(-0.019610956120323382) q[1];
ry(2.788112525333519) q[2];
ry(-0.13285159551832793) q[3];
ry(-0.0701108185385462) q[4];
ry(-0.2720568444270456) q[5];
ry(0.03610565807049482) q[6];
ry(-0.09448223085374252) q[7];
ry(-0.055458987890401226) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIZIZIII",
"ZIIZIIIII",
"ZIIIIZIII",
"IIIZZIIII",
"IIIIZZIII",
"ZIIIZIIII",
"IIZZIIIII",
"IIZIIZIII",
"ZIZIIIIII",
"IIZIZIIII",
"IZIZIIIII",
"IZIIIZIII",
"ZZIIIIIII",
"IZIIZIIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIZIIIII",
"... | [
-1.5,
0.5,
-1.5,
-3,
-3,
0.5,
0.5,
-3,
0.5,
0.5,
-3,
0.5,
0.5,
0.5,
-3,
0.5,
-1.5,
-1.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.971017 | [
-0.04792645943624527,
-0.019610956120323382,
2.788112525333519,
-0.13285159551832793,
-0.0701108185385462,
-0.2720568444270456,
0.03610565807049482,
-0.09448223085374252,
-0.055458987890401226,
3.0752756908744256,
0.05896426539991537,
-0.027295451220715927,
0.05923139788022975,
0.011169459... | {
"n_parameters": 15,
"n_qubits": 9,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 25 |
abebab5175d0d0d89bf916154d0e1360 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [311, 190], "expectation_value": -0.19732733128113053, "params": [[0.0534, 0.062400000000000004, 0.0308, -0.06960000000000001], [-0.038200000000000005, -0.056600000000000004, -0.0499, -0.0085]], "bitstrings": ["011001000", "101000001"], "total_optimization_steps": 10, "probabilities": [0.002941937647786161, ... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(0) @ Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(8) @ Z(3)) + 0.25 * (Z(8) @ Z(5)) + -0.25 *... | 1 | 9 | 4 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.3125, "smallest_bitstrings": ["011001000", "100100010", "101000001"], "largest_eigenvalue": 5.6875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-3.0276657592090853e-08) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-3.0276657592090853e-08) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[4];
rz(-3.0276657592090853e-08) q[4];
cx q[2], q[4];
rz(1.5707962011... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIIIZZIII",
"IIIIZZZII",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIZZIIIII",
"IIZZIIIIZ",
"IZIIIIZII",
"IIIZIZIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIIZIZIII",
"IIIIZIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIZIZIIII",
"IZIIZIIII",
"ZIIIZIIII",
"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0... | 0.777778 | [
-3.0276657592090853e-8,
1.5707962011345744,
-1.5707963261737141,
1.5707962746941437,
1.570796338750851
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 149 |
ab341360a725e6b2f6204b135ea8e845 | 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": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 6}, {"capacity": 1, "source": 3, ... | {"states": [93, 127], "expectation_value": -5.1539767047663725, "params": null, "bitstrings": ["10100010", "10000000"], "total_optimization_steps": 93, "probabilities": [0.10321331130247145, 0.6402260394154703], "optimization_time": 145.68883085250854} | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @ Z(3)) + 0.5 * Z(4) + -0.25 * Z(0) + 0.0 * Z(1) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.3616489854973577) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.06786389583435384) q[1];
cx q[4], q[1];
h q[5];
cx q[4], q[5];
rz(-0.06786389583435384) q[5];
cx q[4], q[5];
cx q[1], q[5];
cx q[4], q[2];
rz(0.08036... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5486) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... | [
"IIIZIIIZ",
"IIIZIIZI",
"IIZZIIII",
"IIZIIIZI",
"IIIZIZII",
"IZIIIZII",
"IIIZZIII",
"IZIIZIII",
"ZIIZIIII",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIIIZIII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIZIII",
"ZIIIIIII"
] | [
-0.75,
-0.5,
-0.5,
-0.5,
-0.25,
-0.75,
-1,
-0.75,
-0.5,
1,
-0.25,
-0.75,
0.5,
-0.25,
0,
0,
0.5,
-0.75,
0.5,
-0.5
] | 0.85084 | [
-0.3616489854973577,
-0.06786389583435384,
0.08036266502885292,
0.014122342550911144,
-0.06025999169762382,
-2.122194135643358,
-0.9339622963225644,
1.2077324071539282,
0.505924878081681,
0.09722562124955719,
0.20834114901752002,
0.03267940985594221,
-1.292535824377209,
1.3866019892713894,... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 500 |
e8c8cfc7e8daa626bbd3fa15225b536c | 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": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4},... | {"states": [0, 63], "expectation_value": -2.7833391872080067, "params": [[0.06960000000000001], [-0.055600000000000004]], "bitstrings": ["11111111111", "11111000000"], "total_optimization_steps": 10, "probabilities": [0.0009706672733031942, 0.0010222633321363699], "optimization_time": 4.456294059753418} | -2.5 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 1.0 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + -2.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + -2.5 * (Z(2) @ Z(4)) + -2.5 * (Z(5) @ Z(6)) + -2.5 * (Z(10) @ Z(6)) + -2.0 * (Z(10) @ Z(5)) + -3.0 * (Z(8) @ Z(6)) + 0... | 1 | 11 | 1 | {"smallest_eigenvalues": [-34.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.5, "smallest_bitstrings": ["11111000000"], "largest_eigenvalue": 33.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.7063154383375968) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.18441878022127048) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.7063154383375968) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.18441878022127048) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIZZIIIII",
"ZIIIZIIIIII",
"ZIIIIZIIIII",
"IIZIZIIIIII",
"IIZIIZIIIII",
"ZIZIIIIIIII",
"IZIIZIIIIII",
"IZIIIZIIIII",
"ZZIIIIIII... | [
-2.5,
1,
-2.5,
1,
0.5,
-2.5,
-2.5,
0.5,
0.5,
-2.5,
-2.5,
-2.5,
-2,
-3,
0.5,
1,
-3,
1,
-3,
-2.5,
1,
0.5,
-2,
-2.5,
-2.5,
1.5,
-2,
-2,
1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.574789 | [
-0.7063154383375968,
-0.18441878022127048,
-0.05902138601868283,
-1.0658681470472213,
-0.3514436695032444,
-0.49965364965847203,
-1.0276775327397276
] | {
"n_parameters": 7,
"n_qubits": 11,
"optimal_eigenvalue": -34.5,
"target_ratio": 0.97,
"target_value": -33.464999999999996
} | 177 |
44dacfe202593d38d27b1900f1e3c9cb | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [831, 319], "expectation_value": -2.3638350212050376, "params": [1.0982, 0.0035, 1.486, 0.0041, 2.3059000000000003, 0.0004, -0.0027, 0.006, 0.3159, 0.008400000000000001, 2.3021000000000003, 0.001, 2.2965, 0.0094, 2.2972, 0.0014, 2.3029, 0.0025, 2.3075, 0.0082, 2.3057000000000003, 0.009600000000000001, 0.0071... | 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(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(8) @ Z(0)) + 0.125 * (Z(9) @ Z(0)) + 0.125 * (Z(8) @ Z(5)) + 0.... | 18 | 11 | 1 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.8125, "smallest_bitstrings": ["10010101000", "11011000000", "01010101000", "10011010000", "10010011000", "01011... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.498214373555806) q[0];
h q[1];
ry(1.5729680172307) q[1];
h q[2];
ry(-0.5206531089606106) q[2];
h q[3];
cx q[3], q[2];
ry(0.5206531089606106) q[2];
cx q[3], q[2];
ry(-0.7572028223353544) q[2];
ry(0.9590918998445399) q[3];
cx q[1], q[3];
ry(-0.201581106472779... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIZZZIIII",
"IIIZIIZIIII",
"IIIIIZIIIIZ",
"IIZIIIIIIIZ",
"IZIIIIIIIIZ",
"IIZIIZIIIII",
"IZIIIZIIIII",
"IZZIIIIIIII",
"IIZIIZIIIIZ",
"IZIIIZIIIIZ",
"IZZIIIIIIIZ",
"IZZIIZIII... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
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... | 0.998543 | [
-1.5344843944901116,
-1.5502120455956891,
-1.4138900630759628,
1.5729680172307,
1.498214373555806,
-1.0413062179212211,
0.7575107933717606,
-0.5341146279279245,
0.40316221294555876,
-0.44617638881486005,
0.3195043901026477,
-0.08398047723390256,
0.00900809255209721,
0.09919787981410061,
... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
d4175c3ce7b82603ce58205ac044a840 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": ... | {"states": [0, 320], "expectation_value": -10.3741030623188, "params": [-0.0167, -0.003, 0.0047, 0.1081, 0.0035, 0.5274, -0.0032, 0.2676, 0.0039000000000000003, 0.5736, 0.00030000000000000003, 0.5337000000000001, -0.5593, 0.0053, -0.5593, -0.007200000000000001, 0.0036000000000000003, 0.6043000000000001, 0.0034000000000... | -0.25 * (Z(0) @ Z(5)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(10) @ Z(0)) + -0.5 * (Z(10) @ Z(6)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(10)) + -0.75 * (Z(1) @ Z(7)) + -0.5 * (Z(2) @ Z(10)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(10)) + -0.25 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(2)) + -0.25 * (Z... | 6 | 12 | 2 | {"smallest_eigenvalues": [-11.0, -11.0, -11.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.0, "smallest_bitstrings": ["111000111111", "100000000000", "111010111111"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.06168957703368168) q[0];
rz(pi/2) q[0];
ry(0.10758376472103794) q[1];
ry(0.12974254324542597) q[2];
ry(-0.5305950565785704) q[3];
ry(-0.010504971432121597) q[4];
ry(-0.21712191112053497) q[5];
ry(-0.23191795714990737) q[6];
ry(-0.07280669111549543) q[7];
ry(-0.09... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIZ",
"IIIIIZIIIIIZ",
"IZIIIIIIIIIZ",
"IZIIIZIIIIII",
"IIIIZZIIIIII",
"IZIIZIIIIIII",
"IIIIZIIIIIZI",
"IZIIIIIIIZII",
"IIIIIIIIIZZI",
"IIIIIIZZIIII",
"IZIIIIIZIIII",
"IIIZIZIIIIII",
"IIIZIIIIIZII",
"IIIZIIIZIIII",
"IIIIIIZIZIII",
"IIIIIIIIZIIZ",
"IIIIIIIZZIII",
"IIIZIIIIZ... | [
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.75,
-0.5,
-1,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
1.25,
-0.5,
-0.25,
-1,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
0.5,
-0.25,
-0.25,
0.75,
-0.5,
-0.5,
-0.5,
0.5,
-0.5,
0,
1.25,
-0.5
] | 0.975404 | [
-0.06168957703368168,
0.10758376472103794,
0.12974254324542597,
-0.5305950565785704,
-0.010504971432121597,
-0.21712191112053497,
-0.23191795714990737,
-0.07280669111549543,
-0.0996009790837984,
0.13739552147279763,
0.23307967914440478,
0.23233319183177809,
0.26815854368547154,
-0.68478418... | {
"n_parameters": 162,
"n_qubits": 12,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 29 |
-4030814764989538969 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 4, 5], [1, 6, 7], [3, 4], [2, 4, 6, 7], [0, 1, 4, 5], [0, 1, 3], [1, 3, 6], [4, 5, 7], [0, 1, 2, 4, 6], [2, 3, 7], [0, 2, 4, 5]]} | {"states": [182, 233], "expectation_value": -0.5924758558620045, "params": [[-0.1749], [0.1588]], "bitstrings": ["01001001", "00010110"], "total_optimization_steps": 30, "probabilities": [0.005983510401581993, 0.006028263468301568], "optimization_time": 2.7809250354766846} | 0.13333333333333333 * (Z(1) @ Z(2)) + 0.3 * (Z(4) @ Z(2)) + 0.21666666666666667 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.41666666666666663 * (Z(5) @ Z(4)) + 0.13333333333333333 * (Z(6) @ Z(2)) + 0.3833333333333333 * (Z(6) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(4... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0333333333333323], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.866666666666667, "smallest_bitstrings": ["00010110"], "largest_eigenvalue": 10.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-9.73649459639827e-05) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.0011738320118083788) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(-0.0002718266042674727) q[4];
cx q[1], q[4];
h q[5];
cx q[2], q[5];
rz(-0.0025584976641... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIZIZII",
"IIIZIIZI",
"IIZIIZII",
"IIZIIIZI",
"IIZZIIII",
"IZIIIZII",
"IZIIIIZI",
"IZIZIIII",
"ZIIIIZII",
"ZIIIIIZI",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIZZII",
"IIIIZIZI",
"IIIZZIII",
"IZIIZIII",
"ZIIIZIII",
"IIIIIZIZ",
"IIIIIIZZ",
"IIIZIIIZ",
"IIZIIII... | [
0.13333333333333333,
0.3,
0.21666666666666667,
0.16666666666666666,
0.16666666666666666,
0.41666666666666663,
0.13333333333333333,
0.3833333333333333,
0.13333333333333333,
0.25,
0.16666666666666666,
0.25,
0.16666666666666666,
0.25,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16... | 0.84281 | [
-0.0000973649459639827,
-0.0011738320118083788,
-0.0002718266042674727,
-0.002558497664175906,
-0.0020119269259149075,
-3.142212948354541,
-0.0002292251564038891,
-0.020721074872348616,
-0.9047082708918592,
-7.169139283182068e-7,
-1.5709100111377718,
-1.5721653926808554,
1.5177505187009601,
... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -3.0333333333333323,
"target_ratio": 0.97,
"target_value": -2.942333333333332
} | 398 |
ef1b5e9e0a153cc03ae3196cb63e9d54 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [43605, 21930], "expectation_value": -0.01489461661450708, "params": [[-0.0551], [0.0684]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 10, "probabilities": [1.6201120341163222e-05, 1.620112034116323e-05], "optimization_time": 14.73477029800415} | 0.25 * (Z(0) @ Z(1)) + -0.0006714876033057851 * (Z(2) @ Z(0)) + -0.0006714876033057851 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.000981404958677686 * (Z(4) @ Z(0)) + 0.0001549586776859504 * (Z(4) @ Z(2)) + -0.000981404958677686 * (Z(5) @ Z(1)) + 0.0001549586776859504 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.000671... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0193181818181523], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0193181818180883, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.013946280991709} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.522276378023696) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.08960510252303011) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.08960510252303011) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-1.522276378023696) q[3];
cx q[2], q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(x0) q[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0006714876033057851,
-0.0006714876033057851,
0.25,
-0.000981404958677686,
0.0001549586776859504,
-0.000981404958677686,
0.0001549586776859504,
0.25,
-0.0006714876033057851,
-0.0006714876033057851,
0.0001549586776859504,
-0.0006714876033057851,
-0.0006714876033057851,
0.000154958... | 0.975863 | [
-1.522276378023696,
0.08960510252303011,
0.007761690542198978,
0.003432931051824871,
0.7684443237937256
] | {
"n_parameters": 5,
"n_qubits": 16,
"optimal_eigenvalue": -2.0193181818181523,
"target_ratio": 0.97,
"target_value": -1.9587386363636077
} | 26 |
6620187651886527837 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 7], [1, 3], [0, 2], [3, 4], [2, 5], [2, 6]]} | {"states": [142, 206], "expectation_value": -0.9637465805454406, "params": [1.1018000000000001, 0.21630000000000002, 1.0629, 0.0057, 1.0933000000000002, -0.1621, 1.0807, 0.0013000000000000002, 0.7395, 0.4419, 0.5744, 0.0024000000000000002, 1.0656, -0.40280000000000005, 0.7024, 0.0044, 1.1018000000000001, -0.1643, 1.083... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(6) | 5 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["01101001", "10010110", "00110001", "11001110"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(0.9427440989033157) q[1];
cx q[3], q[1];
rz(-8.535886664162717e-09) q[1];
rx(-0.7853981578700855) q[1];
h q[4];
cx q[3], q[4];
rz(0.9427440989033157) q[4];
cx q[3], q[4];
rz(-8.535886664162717e-09) q[3];
rx(-0.7853981578... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"ZIIIIIIZ",
"IIIIZIZI",
"IIIIIZIZ",
"IIIZZIII",
"IIZIIZII",
"IZIIIZII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.565477 | [
0.9427440989033157,
-8.535886618083877e-9,
-0.7853981578700855
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 97 |
eaf152c9366c1fc70b9994ec462b6b4c | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 5}, {"weight": 19, "source": 0, "target": 2}, {"weight": 12, "source": 0, "target": 3}, {"weight": 1... | {"states": [123, 122], "expectation_value": -11.556207788176547, "params": [[-0.0403], [0.06860000000000001]], "bitstrings": ["10000100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.006733393385646512, 0.007868509636668432], "optimization_time": 2.6131186485290527} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 167.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.6888090260409325) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.6888090260409325) q[3];
cx q[2], q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.6888090260409325) q[1];
cx q[2], q[1];
rz(0.6888090260409325) q[3];
cx q[0], q[3];
rz... | 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[1], q[0];
rz(x0) q[0];
cx q[1],... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
16.5,
8.5,
16.5,
20.5,
12.5,
5,
20.5,
7.5
] | 0.97417 | [
0.6888090260409325,
-0.8365933516710795,
0.4055984428236141,
-0.5984647884441731,
0.6289659276331325,
0.03651754152469934,
-0.5975771749548225,
-0.20606642446438989,
0.7006882864312995,
-0.769960966506855,
-1.1910601522991142,
-0.06878545903780295,
-0.25779646726100014,
0.6591243819959086,... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 36 |
8ed7cc91faf8f25841f02066a68a347e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 4... | {"states": [0, 63], "expectation_value": -1.1259208357915398, "params": [[0.032600000000000004, 0.0213, 0.0483], [-0.0485, -0.0145, -0.0412]], "bitstrings": ["1111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.011563638508987126, 0.011706996988567493], "optimization_time": 38.38656711578369} | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -0.75 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(4)) + -0.75 * (Z(5) @ Z(6)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.0 * Z(2) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1000000"], "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];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(1.2166224269295487e-08) q[0];
h q[0];
rx(-4.703941950630459e-08) q[1];
h q[1];
rx(1.0471278675330475) q[2];
h q[2];
rx(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIZIIZI",
"IIZIZII",
"ZIZIIII",
"IIIZZII",
"ZIIZIII",
"IIZZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIZIIII",
"IIIZIII",
"IZIIIII"
] | [
-1,
-0.75,
-1.5,
-1,
2.75,
-1,
-1.5,
-1,
-0.75,
-1,
-1.5,
-0.75,
-1.25,
-0.25,
0,
-1,
1.5,
0.25,
0.75
] | 0.65 | [
1.2166224269295487e-8,
-4.703941950630459e-8,
1.0471278675330475,
1.2694902564808772,
-0.4424797841444536,
1.333973771782864,
1.4117920327011293,
0.8124159459374324,
2.2415472708782914e-8,
-1.494340033644694,
1.5729220330218228e-7,
0.44247981073379616,
4.2241866926873623e-8,
0.381873338045... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 446 |
949c1b2d0448f6c51f5adb7cdbe21491 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": ... | {"states": [0, 256], "expectation_value": -21.007149009277942, "params": [-0.0045000000000000005, -0.0092, 0.003, 0.003, 0.0017000000000000001, 0.0012000000000000001, 0.2048, 0.20070000000000002, 0.0047, 0.0015, 0.001, -0.0018000000000000002, 0.006200000000000001, -0.0011, -0.0021000000000000003, 0.0054, 0.001, 0.0067,... | -0.5 * (Z(0) @ Z(5)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(0)) + -0.75 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(8) @ Z(5)) + -0.25 * (Z(8) @ Z(0)) + -0.75 * (Z(9) @ Z(5)) + -0.75 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(6)) + -1.0 * (Z(9) @ Z(7)) + -0.25 * (Z(1) @ Z(5)) + -0.5 * (Z(1)... | 14 | 12 | 4 | {"smallest_eigenvalues": [-21.5, -21.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -20.5, "smallest_bitstrings": ["100000000000", "111011111111"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.06575789429932645) q[0];
rz(pi/2) q[0];
ry(0.14599229836730096) q[1];
ry(0.09599398982154703) q[2];
ry(0.3030697383668938) q[3];
ry(0.1911048158267319) q[4];
ry(-0.0378810533824323) q[5];
ry(-0.0016430347522277539) q[6];
ry(-0.046262463936578915) q[7];
ry(-0.03788... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIZ",
"IIIIIZZIIIII",
"IIIIIZIIIIIZ",
"IIIIZIZIIIII",
"IIIIZIIIIIIZ",
"IIIIZZIIIIII",
"IIIZIIZIIIII",
"IIIZIIIIIIIZ",
"IIZIIIZIIIII",
"IIZIIIIIIIIZ",
"IIZIIZIIIIII",
"IIZIZIIIIIII",
"IIIIIIZIIIZI",
"IIIIZIIIIIZI",
"IIIZIIIIIIZI",
"IIZIIIIIIIZI",
"IIIIIIZZIIII",
"IIIIIZIZI... | [
-0.5,
-0.25,
-0.75,
-0.75,
-0.25,
-0.5,
-0.25,
-0.25,
-0.75,
-0.75,
-0.5,
-1,
-0.25,
-0.5,
-0.5,
-0.25,
-0.75,
-1,
-0.5,
-0.5,
-0.25,
-0.25,
2.75,
-0.75,
-0.75,
-0.75,
-1,
-0.75,
-1.25,
-0.75,
-0.75,
-0.75,
-1,
-0.5,
-0.5,
-0.75,
-0.75,
-0.75... | 0.974033 | [
0.06575789429932645,
0.14599229836730096,
0.09599398982154703,
0.3030697383668938,
0.1911048158267319,
-0.0378810533824323,
-0.0016430347522277539,
-0.046262463936578915,
-0.07410981302758449,
0.022341929685350162,
-0.15702765291766388,
-0.18513007163694223,
-0.07275061002346214,
-0.028873... | {
"n_parameters": 161,
"n_qubits": 12,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 19 |
cf9a1540b011355d554ff1ed574e9153 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 5}, ... | {"states": [93, 29], "expectation_value": -2.875275743475635, "params": [0.48050000000000004, 0.14650000000000002, 0.0014, 0.3829, 0.6008, 0.18660000000000002, 0.5866, -0.0015, 0.6084, 0.004200000000000001, -0.013300000000000001, 0.3678, 0.6088, 0.152, 0.47490000000000004, 0.2015, -0.004200000000000001, 0.3876, 0.6, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(2) + 0.0 * Z(4) + 0.0 * Z(6) | 3 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100010", "0101010"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027904492225509954) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.027904492225509954) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.027904492225509954) q[2];
cx q[1], q[2];
rz(1.342829921786847) q[1];
rx(1.4533457... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IZIIIIZ",
"IIIIZZI",
"IZIIZII",
"IZZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"IIIIZII",
"IIZIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1.5,
-0.5,
0,
0
] | 0.970395 | [
0.027904492225509954,
1.3428299217868471,
-1.3973477579863305,
1.1084896251587875,
-1.2207028245392655,
1.4533457571386144,
-0.40356853974988083,
1.2087457512520743,
0.5067522003052877,
0.6097643117392808,
0.41447285258051847
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 47 |
9e72aed817e662969111170f29d9c9a1 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 7}, {"source": ... | {"states": [255, 1023], "expectation_value": -13.585162768178009, "params": null, "bitstrings": ["1100000000", "0000000000"], "total_optimization_steps": 100, "probabilities": [0.11761715325305493, 0.3514497579980139], "optimization_time": 191.81904888153076} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 1.0 * Z(5) + 1.0 * Z(4) + -1.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(9) | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.01650399604425194) q[0];
cx q[1], q[0];
rz(1.5334888226379757) q[0];
rx(-1.3478479890324493) q[0];
rz(1.5334888226379757) q[1];
rx(-1.3478479890324493) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.01650399604425194) q[2];
cx q[3], q[2... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[6], 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] = measu... | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII"
] | [
-1,
-1,
-1.5,
-2,
-2,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
-1.5,
0.5,
0.5,
0.5
] | 0.785067 | [
-0.01650399604425194,
-0.28296532373961525,
-1.3207579721554537,
1.5334888226379755,
0.0486325120114352,
-1.3478479890324493
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 170 |
1331023165324523556 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 6], [8, 3, 5, 7], [3, 6, 7], [0, 2, 4, 5, 6, 7], [2, 3, 4, 5, 8], [0, 8], [0, 1, 3], [1, 2, 4, 5, 6, 7]]} | {"states": [251, 243], "expectation_value": -1.6261618281173151, "params": [0.6998000000000001, 0.0038, 0.6496000000000001, 0.0049, 1.0948, -0.0024000000000000002, 1.095, 0.004200000000000001, 1.1036000000000001, 0.008, 1.0919, 0.003, 1.0936000000000001, 0.0024000000000000002, 1.096, 0.0076, 1.0987, -0.0023, 1.0883, 0.... | 0.5 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.13333333333333333 * (Z(3) @ Z(8)) + 0.06666666666666667 * (Z(5) @ Z(6)) + 0.13333333333333333 * (Z(5) @ Z(8)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.2333333333333333 * (Z(7) @ Z(6)) + 0.08333333333333333 * (Z(7) @ Z(8)) + 0.25 * (Z(7) @ Z(3)) + 0.15 * (Z(... | 6 | 9 | 1 | {"smallest_eigenvalues": [-2.4166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4, "smallest_bitstrings": ["100001100"], "largest_eigenvalue": 6.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.33558860396005386) q[0];
rz(1.5716441802272865) q[0];
rx(2.1833988745707225) q[1];
rz(1.577515914511265) q[1];
rx(1.2238237780268988) q[2];
rz(1.313520772349472) q[2];
rx(1.7792840922682391) q[3];
rz(1.4466154128056088) q[3];
rx(1.9780147520999833) q[4];
rz(1.51451... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"ZIZIIIIII",
"IIZIIZIII",
"ZIIIIZIII",
"IIZZIIIII",
"ZIIZIIIII",
"IIIZIZIII",
"IZZIIIIII",
"ZZIIIIIII",
"IZIIIZIII",
"IZIZIIIII",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIIIIZIIZ",
"IIIZIIIIZ",
"IZIIIIIIZ",
"IIZIIIZII",
"ZIIIIIZII",
"IIIIIZZII",
"IIIZIIZII",
"IZIIIIZII",
"IIIIIIZIZ",
"... | [
0.5,
0.16666666666666666,
0.13333333333333333,
0.06666666666666667,
0.13333333333333333,
0.13333333333333333,
0.2333333333333333,
0.08333333333333333,
0.25,
0.15,
0.03333333333333333,
0.5,
0.16666666666666666,
0.03333333333333333,
0.03333333333333333,
0.06666666666666667,
0.05,
0.0... | 0.971516 | [
0.3355886039600538,
0.0008478534323903301,
2.1833988745707225,
0.006719587716367874,
1.2238237780268988,
-0.25727555444542494,
1.7792840922682391,
-0.12418091398928752,
1.9780147520999831,
-0.056277908801951625,
2.6703674913167488,
-0.5920298816550211,
1.3428448087955107,
-0.09632245262942... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -2.4166666666666665,
"target_ratio": 0.97,
"target_value": -2.3441666666666663
} | 199 |
-3476425399582412514 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 7], [1, 3, 5], [0, 2, 5], [2, 3], [0, 1, 4], [4, 5, 6], [4, 6, 7], [0, 3], [1, 3, 6], [1, 2, 7], [4, 5, 7], [3, 6, 7], [1, 5, 7]]} | {"states": [238, 230], "expectation_value": -3.2928508991002556, "params": null, "bitstrings": ["00010001", "00011001"], "total_optimization_steps": 51, "probabilities": [0.17405739061069894, 0.6372893607085816], "optimization_time": 73.58027791976929} | 0.5 * (Z(0) @ Z(7)) + 0.3333333333333333 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.166666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.4999999999999996, "smallest_bitstrings": ["00011001"], "largest_eigenvalue": 11.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(0.7440925655631874) q[0];
cx q[7], q[0];
cx q[7], q[1];
rz(0.25126835006295745) q[1];
cx q[7], q[1];
cx q[0], q[1];
rz(-0.0378944176780027) q[1];
cx q[0], q[1];
cx q[7], q[3];
rz(-0.037894... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5592) 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[... | [
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIIIIZZ",
"ZIIIZIII",
"IIIIZIIZ",
"IIIIZIZI",
"ZIZIIIII",
"IIZIIIIZ",
"IIZIIIZI",
"IIZIZIII",
"ZIIIIZII",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIZZII",
"IIZIIZII",
"ZIIZIIII",
"IIIZIIIZ",
"IIIZIIZI",
"IIZZIIII",
"ZZIIIIII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIII... | [
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0... | 0.58749 | [
0.7440925655631874,
0.25126835006295745,
-0.0378944176780027,
0.7402995094836877,
0.8344421489600198,
-0.8081323979222689
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -3.5000000000000004,
"target_ratio": 0.97,
"target_value": -3.3950000000000005
} | 162 |
0638b9451170c76541c061599d600711 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 2, "target": 7}, {"source": 3, "ta... | {"states": [0, 96], "expectation_value": -29.05228144162273, "params": [1.1443, 0.8204, -0.0024000000000000002, -0.0023, -0.0027, -0.0027, -0.0024000000000000002, -0.0024000000000000002, -0.0026000000000000003, -0.0026000000000000003, -0.0026000000000000003, -0.0025, -0.0011, -0.004200000000000001, 0.6067, 1.2385000000... | -1.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(3)) + -3.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(2)) + -3.0 * (Z(6) @ Z(3)) + -3.0 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(4)) + 1.5 * (Z(5) @ Z(3)) + 1.5 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(4)) + -3.0 * (Z(5) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + -2.5 * Z(3) + -2.5 * Z(2) + -2.5 * Z(4) + 2... | 14 | 7 | 1 | {"smallest_eigenvalues": [-30.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["0011111"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(1.3814881805069577) q[0];
rz(pi/2) q[0];
ry(-0.06926169130250512) q[1];
ry(-0.015838290271429627) q[2];
ry(-0.06926169130250512) q[3];
ry(0.05676670317251954) q[4];
ry(0.05676670317251954) q[5];
ry(0.0497743901373311) q[6];
cx q[6], q[0];
ry(-0.32565486003171995) q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZZII",
"IIZZIII",
"IIZIZII",
"ZIIZIII",
"ZIIIZII",
"ZIZIIII",
"IZIZIII",
"IZIIZII",
"IZZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
-1,
-2.5,
-3,
-3,
-3,
-3,
-3,
1.5,
1.5,
-3,
-3,
0.5,
0.5,
-2.5,
-2.5,
-2.5,
2.5,
-2.5
] | 0.972057 | [
1.3814881805069577,
-0.06926169130250512,
-0.015838290271429627,
0.05676670317251954,
0.0497743901373311,
0.6513097200634399,
1.2428381394581693,
1.374617664879148,
-1.1464983531640138,
1.4147517461702834,
0.05264306157986541,
1.6091345709257083,
1.0162439496975813,
0.022075577414337313,
... | {
"n_parameters": 23,
"n_qubits": 7,
"optimal_eigenvalue": -30,
"target_ratio": 0.97,
"target_value": -29.099999999999998
} | 5 |
8630139180156315557 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 4, 5, 6, 7, 8, 9, 11], [4, 6, 8, 9, 10, 11], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], [0, 3, 6, 8, 9, 10, 11], [0, 1, 2, 4, 5, 6, 9, 10, 11], [0, 1, 2, 3, 5, 6, 8, 10, 11], [1, 2, 3, 5, 6, 7, 9, 10, 11], [2, 3, 5, 6, 7, 8, 10, 11], [2, 4, 7, 8, 9, 10, 11],... | {"states": [2997, 3061], "expectation_value": -2.2042248797349, "params": [1.6039, 1.5353, 0.42800000000000005, 0.449, 1.6655, 1.4769, 1.673, 1.4669, 1.067, 1.167, 1.5697, 1.6147, 1.6136000000000001, 1.5464, 1.4104, 1.6074000000000002, 1.5871000000000002, 1.6131, 1.6361, 1.4891, 1.6529, 1.4806000000000001, 1.4288, 1.66... | 0.07575757575757576 * (Z(1) @ Z(4)) + 0.07575757575757576 * (Z(5) @ Z(4)) + 0.11464646464646465 * (Z(5) @ Z(1)) + 0.09797979797979797 * (Z(6) @ Z(4)) + 0.12139249639249639 * (Z(6) @ Z(1)) + 0.1213924963924964 * (Z(6) @ Z(5)) + 0.061868686868686865 * (Z(7) @ Z(4)) + 0.06305916305916306 * (Z(7) @ Z(1)) + 0.08091630591630... | 14 | 12 | 1 | {"smallest_eigenvalues": [-2.471572871572872], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4645021645021643, "smallest_bitstrings": ["010000001010"], "largest_eigenvalue": 13.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.5084980768562095) q[0];
rz(pi/2) q[0];
ry(0.03344479718238172) q[1];
ry(1.7225304319005055) q[2];
ry(1.5225607441095894) q[3];
ry(1.6865789294502387) q[4];
ry(1.467643826129798) q[5];
ry(1.702335759465227) q[6];
ry(1.207798351266156) q[7];
ry(1.1425226103336537) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZI",
"IIIIIIZZIIII",
"IIIIIIZIIIZI",
"IIIIIZIZIIII",
"IIIIIZIIIIZI",
"IIIIIZZIIIII",
"IIIIZIIZIIII",
"IIIIZIIIIIZI",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIZIIII",
"IIIZIIIIIIZI",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIZIIIIZIIII",
"IIZIIIIIIIZI",
"IIZIIIZII... | [
0.07575757575757576,
0.07575757575757576,
0.11464646464646465,
0.09797979797979797,
0.12139249639249639,
0.1213924963924964,
0.061868686868686865,
0.06305916305916306,
0.08091630591630591,
0.08766233766233766,
0.1079004329004329,
0.09361471861471862,
0.09361471861471861,
0.1864718614718614... | 0.974746 | [
1.5084980768562095,
0.03344479718238172,
1.7225304319005055,
1.5225607441095894,
1.6865789294502387,
1.467643826129798,
1.702335759465227,
1.207798351266156,
1.1425226103336537,
1.8399762921363707,
1.6688254686598543,
1.4598416070397315,
0.6705656834078172,
0.040334056127901,
0.010022969... | {
"n_parameters": 47,
"n_qubits": 12,
"optimal_eigenvalue": -2.471572871572872,
"target_ratio": 0.97,
"target_value": -2.397425685425686
} | 26 |
d2e3f71e5c020057da0dd1812bdf6517 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 20, "source": 0, "target": 2}, {"weight": 6, "source": 1, "target": 2}, {"weight": 15, "source": 1, "target... | {"states": [9, 6], "expectation_value": -1.5881276829737938, "params": null, "bitstrings": ["0110", "1001"], "total_optimization_steps": 17, "probabilities": [0.1721830324863317, 0.6568759212517967], "optimization_time": 6.325448989868164} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": 0.0, "smallest_bitstrings": ["1001", "0110"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.1661276350304126) q[0];
rz(0.1368317091350482) q[0];
ry(0.04120953092979138) q[1];
rz(0.6237278116787298) q[1];
cz q[1], q[0];
ry(0.8639209804903288) q[0];
rz(-0.20514548926058004) q[0];
ry(0.1701074616062198) q[1];
ry(0.11262869094573309) q[2];
rz(0.3181473576708... | null | {"start_node": 0, "end_node": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh... | [
"IIZZ",
"IZIZ",
"ZIZI",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0
] | 0.975208 | [
1.1661276350304126,
0.1368317091350482,
0.04120953092979138,
0.6237278116787298,
0.11262869094573309,
0.3181473576708103,
0.734978694415438,
-0.2651028550205645,
-0.11298443044296277,
-0.5003240831397697,
0.31670140934387114,
0.2559084340847741,
0.0720191758938528,
0.2177008887266607,
0.... | {
"n_parameters": 181,
"n_qubits": 16,
"optimal_eigenvalue": -13.999999999999932,
"target_ratio": 0.97,
"target_value": -13.579999999999934
} | 75 |
5c061f231d3e5c84c0816223f56d7135 | 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": [918, 406], "expectation_value": -75.06692175074903, "params": [0.869, -0.30660000000000004, 0.8744000000000001, 0.0018000000000000002, 1.2988, 0.1395, 1.3001, 0.0045000000000000005, 1.3035, 0.163, 1.2996, 0.006900000000000001, 0.0033, 0.8337, 0.0033, 0.0064, -0.0031000000000000003, 0.6946, -0.0032, 0.0091, ... | 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(5) @ Z(0)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(7) @ Z(0)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(9)) + 5.5 * (Z(8) @ Z(9)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(4) @ Z(8)) + 11.5 * Z(0) + 12.5 * Z(2) + 12.0 *... | 5 | 10 | 1 | {"smallest_eigenvalues": [-97.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["1001101001"], "largest_eigenvalue": 147.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.12207588613158132) q[0];
rz(-0.492902315851909) q[0];
rx(1.3531805310059883) q[1];
rz(0.03638654042921097) q[1];
rx(1.5862912287422652) q[2];
rz(0.17097821268209668) q[2];
rx(-0.09735454321144742) q[3];
rz(0.9737294505383431) q[3];
rx(-0.052629677589666565) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIZIIIIZ",
"IIIZZIIIII",
"ZIIIIIIZII",
"IIZIIIIIIZ",
"IIZIZIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IZZIIIIIII",
"IZIIIZIIII",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIZIIIIII",
"ZIIIIIIIII"... | [
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,
11.5,
12.5,
12,
-5,
11.5,
-3,
8,
17.5,
14,
-3
] | 0.971398 | [
0.12207588613158132,
-0.2718266683929619,
1.3531805310059883,
-0.006825072953330194,
1.5862912287422652,
0.15851536725562196,
-0.09735454321144744,
0.6437442777457961,
-0.05262967758966656,
0.857333535075115,
1.640397874825345,
0.18069469903136742,
-0.11573499606318856,
0.3846204729068733,... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -97.5,
"target_ratio": 0.97,
"target_value": -94.575
} | 46 |
fe37a95fb62cde91e69aee116b6773bd | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 2}, {"weight": 11, "source": 0, "target": 4}, {"weight": 20, "source": 1, "tar... | {"states": [237, 236], "expectation_value": -23.217120599541445, "params": [[0.0256, 0.0033], [-0.0772, -0.07680000000000001]], "bitstrings": ["100010010", "100010011"], "total_optimization_steps": 10, "probabilities": [0.0060271885834458794, 0.007771664250203676], "optimization_time": 3.6086883544921875} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 165.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.036805554208728865) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.036805554208728865) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.036805554208728865) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.036805554208728865) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
21.5,
5.5,
14.5,
10,
11.5,
19.5,
16,
1,
-1.5
] | 0.980584 | [
-0.036805554208728865,
1.5653143209845872,
-1.520759303138704,
1.6043065486405803,
1.6061779043506268,
-0.9411390712476695,
1.5451499827051354,
1.6462955105064652,
-1.6219264994733438,
-1.3909117298929286,
-1.5458587504655341
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 43 |
bd4c1476c3aa7cafea7811e124c4791d | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [128, 127], "expectation_value": -1.0741447263667383, "params": [[-0.0679, -0.050800000000000005], [0.0743, 0.062400000000000004]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.006911607103823878, 0.007361512101005199], "optimization_time": 3.438274383544922} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.0671841118139862) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.031280402529584396) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.11694415727298718) q[4];
cx q[1], q[4];
h q[5];
cx q[1], q[5];
rz(0.031280402529584396) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"ZIIIIIIZ",
"ZIIIZIII",
"IIIZIIZI",
"IIIZZIII",
"ZIIZIIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"IIIIZZII",
"ZIIIIZII",
"IIZIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIZI... | [
-0.5,
-0.75,
1.5,
-0.5,
-1,
-1,
-0.75,
-0.75,
-0.25,
-0.5,
-0.25,
-1,
-0.25,
-0.5,
-0.5,
1.75,
-0.25,
0.5,
-0.25,
-1.25,
0.5,
-1.25,
0.25
] | 0.936479 | [
-0.0671841118139862,
0.031280402529584396,
-0.20947139556786867,
-0.11694415727298718,
-0.03287291360094323,
1.1816672253993616,
1.1537478745059475,
0.9880219403892836,
1.157821183267566,
-1.6276462451756408,
-0.38641150402430224,
0.1639648636376219,
0.761666511676907,
-0.6557486395688252,... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 500 |
478b0d0e79aaa383d09e0a7385a1b956 | 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": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 4, "ta... | {"states": [31, 127], "expectation_value": -9.150027070584313, "params": null, "bitstrings": ["1100000", "0000000"], "total_optimization_steps": 86, "probabilities": [0.1056120608474516, 0.5670250780008826], "optimization_time": 103.99447703361511} | -1.5 * (Z(1) @ Z(0)) + -2.0 * (Z(2) @ Z(5)) + -2.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -2.0 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 1.0 * Z(0) + -1.0 * Z(1) + 0.5 * Z(5) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) | 5 | 7 | 1 | {"smallest_eigenvalues": [-12.5, -12.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.5, "smallest_bitstrings": ["0000000", "1100000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(-1.5707963469701147) q[1];
cx q[0], q[1];
rz(0.6829935915551051) q[0];
rx(-0.9110572799048245) q[0];
rz(0.6829935705560533) q[1];
rx(-0.9110572799048247) q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(-0.767929826216009) q[2];
... | null | {"node": 0} | {"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[3], 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]... | [
"IIIIIZZ",
"IZIIZII",
"IZIZIII",
"IIIZZII",
"IZZIIII",
"IIZZIII",
"ZZIIIII",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IZIIIII",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII"
] | [
-1.5,
-2,
-2.5,
0.5,
0.5,
-2,
-2,
0.5,
-2,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.567703 | [
-1.5707963469701147,
-0.767929826216009,
-0.8228040866338426,
-0.1486820224273318,
0.6829935915551049,
0.6829935705560533,
-0.9110572799048248
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 188 |
16f78d4600a63f9e28571cad22ffe3ee | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 5}, {"weight": 8, "source": 2, "target": 3}, {"weight": 11, "source": 2, "targ... | {"states": [231, 182], "expectation_value": -43.694755128467975, "params": null, "bitstrings": ["100011000", "101001001"], "total_optimization_steps": 100, "probabilities": [0.0839699571890289, 0.20964461840676027], "optimization_time": 182.51840901374817} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 10.0 * Z(1) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["101001001"], "largest_eigenvalue": 148.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.06533991207500221) q[0];
rz(1.7673554067439534) q[0];
rx(0.22394717722886268) q[1];
rz(1.5834346747889922) q[1];
rx(0.5914177553622147) q[2];
rz(1.2988874808531223) q[2];
rx(0.7383563693045873) q[3];
rz(1.421982816396154) q[3];
rx(0.6418769613290847) q[4];
rz(1.784... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(0.5995) 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] = m... | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIZIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
-4,
14.5,
4,
18,
10.5,
15,
11,
6.5
] | 0.979432 | [
0.0653399120750022,
0.196559079949057,
0.2239471772288627,
0.012638347994095411,
0.5914177553622149,
-0.27190884594177434,
0.7383563693045871,
-0.14881351039874235,
0.6418769613290847,
0.21384660442009046,
0.8641840268522056,
0.23059727903605726,
0.11989875580688164,
-0.19251224406203676,
... | {
"n_parameters": 90,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 22 |
600a12ed8acc1493d24fddbcbeff68c8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capac... | {"states": [0, 1], "expectation_value": -11.577762422766254, "params": [-0.0031000000000000003, 0.005, 0.0023, 0.0009000000000000001, 0.0026000000000000003, 0.009600000000000001, 0.0026000000000000003, 0.0032, -0.0024000000000000002, 0.007200000000000001, 0.0026000000000000003, 0.0028, 0.0023, 0.0019, 0.0025, 0.0098, 0... | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(8) @ Z(2)) + -1.25 * (Z(8) @ Z(5)) + -0.5 * (Z(8) @ Z(3)) + 2.25 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(3)) + -0.5 * (Z(9) ... | 4 | 10 | 1 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -13.0, "smallest_bitstrings": ["1111111110", "1110101100", "1110101000", "1110100000"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.10235181306663749) q[0];
rz(1.783960739796636) q[0];
rx(0.005196556850576228) q[1];
rz(1.7196693976995423) q[1];
rx(-0.15553266644044964) q[2];
rz(1.7036339359087265) q[2];
rx(0.16400003819464995) q[3];
rz(1.6254032971902408) q[3];
rx(-0.050327272690568525) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIIIIZZI",
"IIIIIIZZII",
"IIIIZIZIII",
"IIIIIIZIZI",
"IZIIIIIZII",
"IZIIZIIIII",
"IZIIIIZIII",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"ZIIIIIZIII",
"ZZIIIIIIII",
"IIZIZIIIII",
"IZZIIIIIII",
"IIIZIIIIZI",
"IIZZIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ"... | [
-0.5,
-0.75,
-0.75,
-1,
-0.5,
-0.75,
-0.75,
-0.25,
-1.25,
-0.5,
2.25,
-0.25,
-0.25,
-0.5,
-0.75,
-0.75,
-1,
-0.75,
-0.25,
-0.25,
-0.5,
0.5,
-2.75,
1.75,
0.75,
1.25,
-0.75,
0.25
] | 0.972306 | [
0.10235181306663751,
0.2131644130017395,
0.005196556850576227,
0.14887307090464605,
-0.15553266644044964,
0.13283760911382933,
0.16400003819464992,
0.05460697039534368,
-0.050327272690568525,
0.25067395110619195,
-0.07275420580086236,
0.17206052977121183,
0.07721293223549788,
0.12953310071... | {
"n_parameters": 124,
"n_qubits": 10,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 9 |
ab957251534d09507f870c3a6ef42154 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [20, 23], "expectation_value": -3.9999340839148516, "params": null, "bitstrings": ["101011", "101000"], "total_optimization_steps": 25, "probabilities": [1.383436257146194e-05, 0.9999481823871552], "optimization_time": 13.030569791793823} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(4) + 0.0 * Z(5) + -1.0 * Z(2) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["101000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.8371932544002377) q[0];
rz(0.20858065204347453) q[0];
ry(-0.45655694041749045) q[1];
ry(0.4641984393163029) q[2];
ry(-0.19028136922153194) q[3];
ry(1.019406464640929) q[4];
ry(-0.07467794364198581) q[5];
ry(0.1078744572788903) q[6];
ry(0.5781622452340566) q[7];
ry... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IZIIIZ",
"ZIIIIZ",
"IIIZZI",
"IZIZII",
"IIZZII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
0,
-1,
0
] | 0.97248 | [
0.8371932544002377,
-0.45655694041749045,
0.4641984393163029,
-0.19028136922153194,
1.019406464640929,
-0.07467794364198581,
0.1078744572788903,
0.5781622452340566,
-0.09758270765337963,
0.42316099187094136,
-0.019552344140408177,
0.5019802359551023,
0.41716130408694907,
-0.391375460764549... | {
"n_parameters": 94,
"n_qubits": 12,
"optimal_eigenvalue": -1.5131944444444438,
"target_ratio": 0.97,
"target_value": -1.4677986111111105
} | 23 |
7d8b3d8ceec2d81b644dfcbc98592f50 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [33, 48], "expectation_value": -3.973037742586125, "params": null, "bitstrings": ["011110", "001111"], "total_optimization_steps": 16, "probabilities": [0.07436458640658362, 0.8991243516134904], "optimization_time": 10.945065259933472} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(2) + 0.0 * Z(0) + -1.5 * Z(1) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["110110", "011101", "011110", "001111", "011011"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.39269904215198215) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[1];
rz(-0.39269904215198215) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.39269904215198215) q[2];
cx q[3], q[2];
h q[4];
cx q[4], q[1];
rz(-0.39269904215198215) q[1];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIIZZI",
"IIZZII",
"IIZIZI",
"IZIZII",
"IZIIZI",
"IZZIII",
"ZIIIZI",
"ZIZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1.5,
-1.5,
-1.5,
-1
] | 0.521773 | [
-0.39269904215198215,
0.39269904771702413,
-0.785398098795778,
0.7853982839147303,
1.9634955101122697,
0.7016820247458506
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 155 |
adf83a7a772b7f772a66d54f36fd7522 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -1.0586784160845397, "params": [[0.0685, 0.0708, 0.0485], [-0.0746, -0.0789, -0.0506]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.009820745953146042, 0.010796752818526014], "optimization_time": 5.326674938201904} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.4434130568765927) q[0];
h q[1];
ry(0.06002088832999257) q[1];
h q[2];
ry(0.20888663163693805) q[2];
h q[3];
cx q[3], q[1];
ry(-0.06002088832999257) q[1];
cx q[3], q[1];
ry(1.4692332172117415) q[1];
ry(1.40335167153491) q[3];
h q[4];
ry(0.514467726155474) 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] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZZIIIIII",
"IIZIIIZI",
"IIZIZIII",
"IZZIIIII",
"IIZIIZII",
"IIIZZIII",
"IZIZIIII",
"ZIIZIIII",
"IIIZIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII",
"IIZIIII... | [
-0.25,
-1,
-0.25,
-1,
-0.25,
-0.5,
-0.5,
1,
-0.25,
-0.5,
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-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
0,
1,
-0.25,
-0.5,
0.25,
0
] | 0.970149 | [
1.486113011210929,
0.12004177665998514,
1.40335167153491,
1.4692332172117415,
1.028935452310948,
1.535224711760082,
-0.8868261137531854,
0.4177732632738761,
1.2979805877816588,
0.3664680005410001,
-0.4998226785072861,
0.15189024077444385,
0.4825016790234395,
0.27013092329179234,
0.016721... | {
"n_parameters": 54,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 51 |
fc7646e3dec940be060c5b43aca754f8 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [72, 88], "expectation_value": -4.999239789680946, "params": [[[0.1865, -0.3038], [-0.0019, -0.3992], [0.8043, -0.0032], [0.0154, 0.3677], [0.8011, 0.0004], [0.8022, -0.0032], [0.6815, 0.0011], [0.059300000000000005, -0.2866], [-0.0024000000000000002, -0.4307]], [[0.1865, 0.0068000000000000005], [-0.0016, 0.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -5.5, "smallest_bitstrings": ["110101101", "111001101", "110100111", "111001011", "100111110", "110101011", "111000111", "001111110", "001110111", "100110111"], "largest_e... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(1.4494927930298829) q[0];
ry(0.1450432164311273) q[0];
rz(-2.7080482369783194) q[0];
rz(1.1199627936178391) q[1];
ry(0.24756524528209675) q[1];
rz(-1.9022659666309365) q[1];
rz(2.292946491913483) q[2];
ry(2.828005755290121) q[2];
rz(-0.6999782778854131) q[2];
rz(2.94... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIIZIZI",
"IIIIZIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIZIII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIZZIIIII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-1,
-1.5,
-1.5,
-1.5,
-2,
-1
] | 0.973243 | [
0.07305655931821498,
-0.24196623142471602,
0.11358231848942078,
-0.7738872765304098,
1.7967642102203936,
0.2288954267024176,
-0.036918697895817754,
0.5345795615813822,
1.6340262506527818,
-0.34522487629228726,
1.3216114863217694,
0.10128162627558138,
-0.12506792097991565,
-0.00014543923293... | {
"n_parameters": 32,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 19 |
4cda5dee957682c08dbd329bc943c5ef | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [20, 72], "expectation_value": -2.935351368256736, "params": [[0.064, 0.0787, 0.0786, 0.0751], [-0.018600000000000002, -0.0584, -0.06910000000000001, -0.0684]], "bitstrings": ["1101011", "0110111"], "total_optimization_steps": 10, "probabilities": [0.02266603100529059, 0.022666031005290653], "optimization_ti... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["1011101", "0110111", "1111100", "1101011", "1101110", "1110110"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.02594948614362916) q[0];
ry(0.159556898477795) q[1];
ry(3.220243018720069) q[2];
ry(-0.26118800429812855) q[3];
ry(-0.11708632410814492) q[4];
ry(2.6961583172483548) q[5];
ry(-0.003793597072665269) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IZIIIIZ",
"IZIIZII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIZIZI",
"IIIZZII",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
-1.5,
-2,
-1.5,
-1,
-1.5
] | 0.971524 | [
-0.02594948614362916,
0.159556898477795,
3.220243018720069,
-0.26118800429812855,
-0.11708632410814492,
2.6961583172483548,
-0.003793597072665269,
0.016356167604613624,
-0.03425868078488903,
-0.02361447462930349,
-0.019473692669395654,
0.5536734217067089,
0.22703499698521307
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 41 |
fb8445a66f52fc9e4ad6289747866ab5 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 7}, {"source": 3, "target": 4}, {"sour... | {"states": [465, 469], "expectation_value": -4.762811992365317, "params": [0.3977, 0.3981, 0.40800000000000003, 0.403, 0.4102, 0.4027, 0.0059, 0.0019, 0.4036, 0.40740000000000004, 0.0031000000000000003, -0.002, 0.40390000000000004, 0.40590000000000004, -0.0005, -0.0045000000000000005, 0.39890000000000003, 0.40190000000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * Z(3) + 0.0 * Z(0) + -3.0 * Z(5) + 0.0 * Z(1) + -0... | 14 | 9 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["000101010"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.8764787292240622) q[0];
rz(pi/2) q[0];
ry(1.0441964897344946) q[1];
ry(0.8046317159280232) q[2];
ry(0.5181219511603875) q[3];
ry(0.8521127979436752) q[4];
ry(0.33655246574222014) q[5];
ry(0.6894091843401591) q[6];
ry(-0.3699673586392909) q[7];
ry(0.3135598154556877... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIZIZIII",
"IIIZIIIZI",
"IIIZIIZII",
"IZIIIZIII",
"IZIZIIIII",
"IZIIIIZII",
"IIIIZZIII",
"IIIZZIIII",
"IIZZIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IZIIIIIII",
"IIIIZIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-3,
0,
-0.5,
-1.5,
-0.5,
0,
-0.5
] | 0.974152 | [
0.8764787292240622,
1.0441964897344946,
0.8046317159280232,
0.5181219511603875,
0.8521127979436752,
0.33655246574222014,
0.6894091843401591,
-0.3699673586392909,
0.31355981545568773,
0.6049352113709408,
-0.3045796466879338,
-0.3427669367640322,
0.10347165721876461,
-0.1934285715573088,
-... | {
"n_parameters": 69,
"n_qubits": 9,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 31 |
a617cd4648156ddc77f993201a7a952c | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [70, 7], "expectation_value": -6.382279745807821, "params": [[0.0654], [-0.0741]], "bitstrings": ["10111001", "11111000"], "total_optimization_steps": 10, "probabilities": [0.006526902829854987, 0.006994280700099122], "optimization_time": 4.837610721588135} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 5 | 8 | 1 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.016051595018557085) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.016051595018557085) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.016051595018557085) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.016051595018557085) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2]... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
2.75,
2.75,
-7,
-7.25,
-7,
-7,
-7,
-6.25,
-6.25,
-6.75
] | 0.976479 | [
0.016051595018557085,
-0.044725556110224884,
-1.5942489739862034,
-1.511915062604028,
1.942486051428569,
1.7812596979441973,
-1.4758902744393279,
0.463896267873675,
0.4666780978923133,
-1.0713581426797705,
-2.0979600597052888,
1.374106261390757,
-0.36896266833425195,
0.11673470776900458,
... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 78 |
-4344597050481672989 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 6], [0, 2, 5], [2, 6], [0, 1, 3], [0, 4, 5, 7], [8, 2, 4], [0, 2, 7], [8, 1], [0, 8, 7], [2, 3, 4, 5]]} | {"states": [464, 369], "expectation_value": -1.015852576439518, "params": [[0.26680000000000004], [-0.2697]], "bitstrings": ["000101111", "010001110"], "total_optimization_steps": 30, "probabilities": [0.005703723948063051, 0.005752671855432534], "optimization_time": 1.615588665008545} | 0.5 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.25 * (Z(2) @ Z(4)) + 0.3333333333333333 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(4)) + 0.1666666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.1666666666666665, "smallest_bitstrings": ["000101101", "010001110"], "largest_eigenvalue": 8.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(1.6740436782518813) q[0];
h q[1];
h q[2];
ry(1.478492959790926) q[2];
h q[3];
ry(-0.27705062793447155) q[3];
h q[4];
ry(1.4821372903694263) q[4];
h q[5];
ry(-0.45249605358339046) q[5];
h q[6];
ry(-0.7288609343224409) q[6];
cx q[4], q[6];
ry(0.7288609343224409... | OPENQASM 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 ... | null | {"circuits": [], "gradients": []} | [
"IIZIZIIII",
"IIIIZIIIZ",
"IIZIIIZII",
"IIIIZIZII",
"IIIIIIZIZ",
"IIIZZIIII",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZIZIII",
"IIIIIZIZI",
"IZIIZIIII",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIZIIIII",
"ZIIIZIIII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"... | [
0.5,
0.08333333333333333,
0.5,
0.25,
0.3333333333333333,
0.16666666666666666,
0.25,
0.25,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.41666666666666663,
0.16666666666666666,
0.0... | 0.974247 | [
1.6740436782518813,
1.4821372903694263,
-1.4577218686448818,
1.478492959790926,
-1.0475513468345112,
0.89691242763611,
-0.46700397345088596,
-0.9049921071667809,
0.542127194625133,
-0.3129812514343056,
0.0519186943483327,
-0.15207953126943347,
-0.4304207091902231,
-0.5541012558689431,
0.... | {
"n_parameters": 40,
"n_qubits": 9,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 9 |
ae89ed3cd3a3daf867ac1e5c76cb7bf2 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 5}, {"weight": 11, "source": 1, "target": 6}, {"weight": 19, "source": 1, "target": 4}, {... | {"states": [122, 118], "expectation_value": -15.776241575039192, "params": [[-0.044000000000000004, -0.0048000000000000004, 0.0733], [0.0675, 0.056, -0.0361]], "bitstrings": ["10000101", "10001001"], "total_optimization_steps": 10, "probabilities": [0.012842919912996572, 0.01390338046965809], "optimization_time": 8.246... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(2) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(4) @ Z(5)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(6)) + 6.5 * Z(1) + 5.5 * Z(0) + 9.5 * Z(3) + 17.5 * Z(2) + 7.5 * Z(5) + 4.5 * Z(4) +... | 1 | 8 | 3 | {"smallest_eigenvalues": [-56.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -50.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 116.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.04487692059288387) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.04487692059288387) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.04487692059288387) q[2];
cx q[0], q[2];
rz(-1.407887416700282) q[0];
rx(-1.579746504261589) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"IIIIIZIZ",
"IIIIZZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6.5,
5.5,
9.5,
17.5,
7.5,
4.5,
13,
8
] | 0.980299 | [
0.04487692059288387,
1.674742329328149,
-1.4078874167002817,
1.524449490178519,
1.4439077735402985,
1.3531238677988078,
-1.3904882206449123,
1.365368687689991,
-1.5824772102595346,
-1.579746504261589,
0.6397278070183063,
0.013864599543888398,
-1.8275840771615182,
1.1558042727426383,
0.12... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -56,
"target_ratio": 0.97,
"target_value": -54.32
} | 48 |
e087bb7a2ab5b6cd6822b49db98164ad | 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": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4... | {"states": [3, 63], "expectation_value": -0.3894651323468984, "params": [[-0.0347, -0.006, 0.0804], [0.049800000000000004, 0.048, -0.054400000000000004]], "bitstrings": ["1111100", "1000000"], "total_optimization_steps": 10, "probabilities": [0.00964161393669701, 0.009736774026946695], "optimization_time": 3.5870723724... | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + 1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + 1.0 * Z(4) + -0.25 * Z(0) + 0.5 * Z(5) + 0.5 * Z(1) + -2.0 * Z(2) + 0.25 * Z(3) + 0.... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000", "1010000", "1111100", "1110100", "1011000"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.684079612108113) q[0];
h q[1];
h q[2];
ry(-1.6130910725056342) q[2];
h q[3];
h q[4];
ry(0.8705312656325608) q[4];
cx q[1], q[4];
ry(-0.8705312656325608) q[4];
cx q[1], q[4];
ry(0.5638362462260424) q[1];
cx q[4], q[1];
ry(-0.5638362462260424) q[1];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIZIIIZ",
"IZIIIIZ",
"IIZIIZI",
"IIZIZII",
"IZIIZII",
"IIIIZZI",
"IIIZZII",
"ZIZIIII",
"ZIIIIIZ",
"ZZIIIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"ZIIIIII"
] | [
-0.5,
-0.5,
-1.25,
-0.75,
-0.25,
-0.75,
-0.25,
-0.5,
1.25,
-0.75,
1,
-0.25,
0.5,
0.5,
-2,
0.25,
0
] | 0.971879 | [
-1.6130910725056342,
1.7410625312651216,
1.127672492452085,
-1.368159224216226,
1.3090628769470818,
-0.18059820948263738,
1.4980182789583685,
0.09301418289946432,
-0.5987902664515456,
0.00709990805003651,
0.28724048981292466,
0.025051227171103974,
-0.11161857880706907,
-0.10313587200409623... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 9 |
4d70328aecc8c1ea3157fc10838636c1 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [6, 7], "expectation_value": -4.2464493918308905, "params": [[[0.5177, 0.2024], [0.4858, -0.2179], [0.5038, 0.20520000000000002], [0.4747, -0.2212], [0.8566, -0.0016], [0.859, -0.0015], [0.8506, -0.0016]], [[0.5179, 0.0098], [0.4824, 0.0054], [0.5103, 0.0074], [0.4773, 0.0068000000000000005], [0.858200000000... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.027915315044976848) q[0];
rz(0.9079317232921404) q[0];
rx(-0.075741799279953) q[1];
rz(0.40344095680944037) q[1];
rx(-0.19726492599124124) q[2];
rz(0.3090192037444801) q[2];
rx(-0.054457467281475554) q[3];
rz(0.31152701050214304) q[3];
rx(0.980611838329351) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
-3.5,
-3.25,
-3.25,
-3.5,
-3,
-3,
-3
] | 0.978518 | [
-0.02791531504497685,
0.7987750073775817,
-0.075741799279953,
0.1807703503826541,
-0.1972649259912412,
0.22315061411334475,
-0.05445746728147556,
0.17837210837707032,
0.980611838329351,
0.17196108918343747,
0.6762345045023291,
0.17168297010729175,
0.779897852478124,
-0.09894333872144807,
... | {
"n_parameters": 77,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 17 |
159564a9a71f2785631eb8436cb826ea | 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": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 8}, {"source": 7, "target":... | {"states": [511, 255], "expectation_value": -0.39016970749234503, "params": [[-0.06670000000000001], [0.0629]], "bitstrings": ["000000000", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0024909816832126793, 0.0025330069440408745], "optimization_time": 1.3287231922149658} | -1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(7)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(7) + 0.5 * Z(5) + 0.5 * Z(6) + 0.5 * Z(8) + -0.5 * Z(0) | 5 | 9 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.7511005271593161) q[0];
rz(-pi) q[0];
h q[1];
ry(1.2581153791650719) q[1];
h q[2];
cx q[2], q[1];
ry(-1.2581153791650719) q[1];
cx q[2], q[1];
ry(1.3726640215676347) q[2];
cx q[1], q[2];
ry(-1.3726640215676347) q[2];
cx q[1], q[2];
h q[3];
h q[4];
ry(1.25811537916... | 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[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[4], q[3];
rz(x0) q[3... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIZZIII",
"IZIZIIIII",
"IZZIIIIII",
"IIZZIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IZIIIIIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIIZ"
] | [
-1,
-1,
-1.5,
-2,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.971427 | [
0.0013109546608495966,
1.7774153945603093,
1.679929475921589,
-0.2539518645087978,
0.1890537256643278,
2.5162307583301438,
2.7453280431352693,
-0.27535298037782635,
-0.7253695184608755,
0.9633120713442913,
-0.27781867740320454,
0.3393178145877155,
0.4036598516411737,
0.6446749154611696,
... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 88 |
6c28370939b7d49c2e67d552301e0191 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 12, "source": 1, "target": 4}, {"weight": 12, "source": 1, "tar... | {"states": [333, 236], "expectation_value": -10.350285146264268, "params": [[0.0118, -0.0514], [-0.0347, 0.0522]], "bitstrings": ["010110010", "100010011"], "total_optimization_steps": 10, "probabilities": [0.0037751911020572717, 0.004202574219203759], "optimization_time": 3.5506198406219482} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(3)) + 5.5 * Z(1) +... | 1 | 9 | 2 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 153.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.18259604204203672) q[0];
rz(0.08060485615533963) q[0];
rx(0.6891006369177235) q[1];
rz(0.00017102855127421046) q[1];
rx(0.7562714054488282) q[2];
rz(-0.3404311286624009) q[2];
rx(0.6891006369177235) q[3];
rz(0.02128917638359139) q[3];
rx(0.06667048808959333) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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",
"IIIIIZIIZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIZII",
"IIZZIIIII",
"IIZIZIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
5.5,
6.5,
10.5,
19.5,
15.5,
4.5,
18.5,
8.5,
1.5
] | 0.971363 | [
-0.18259604204203672,
0.2641521549594251,
0.6891006369177235,
0.00017102855127421046,
0.7562714054488282,
-0.3404311286624009,
0.02128917638359139,
0.06667048808959333,
0.37381510054334915,
0.8766187768053243,
-0.20332760614996834,
0.6899310805468107,
0.18365228317182203,
0.151142600961424... | {
"n_parameters": 99,
"n_qubits": 9,
"optimal_eigenvalue": -75.5,
"target_ratio": 0.97,
"target_value": -73.235
} | 13 |
c86f9ec7eec6446b2b675d70d15f99d1 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"source": ... | {"states": [383, 511], "expectation_value": -6.0600395813720285, "params": [-0.0024000000000000002, 0.7459, -0.0012000000000000001, 0.0089, 0.7045, -0.2897, -0.5876, 0.006200000000000001, 0.9295, 0.4058, -0.8029000000000001, 0.0011, 0.9537, 0.63, -0.6894, 0.002, 0.9675, 0.6128, 0.546, 0.0071, 0.9777, 0.7099000000000001... | -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(5)) + -1.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(1)) + -1.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(1) + 0.5 * Z(8) + 0.5 * Z(9) + -0.5 * Z(0) | 6 | 10 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rz(-0.5189434641081592) q[0];
ry(2.4178374830412526e-08) q[0];
rz(2.0897397909030557) q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-3.141592662259253) q[2];
cx q[3], q[2];
rz(-1.57079634536655) q[2];
rx(-1.5707963477900353) q[2];
rz(-1.57079634536655) q[3];
rx(-1.57... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIZZII",
"IIIIZZIIII",
"IIZZIIIIII",
"IZIIIIIIZI",
"ZIIIIIIIZI",
"ZZIIIIIIII",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"IIIIIIIIZI",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIIIIIIZ"
] | [
-1,
-1,
-1,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.619048 | [
-3.141592662259253,
-1.5707963630801334,
-1.5707963453665497,
-1.5707963387864754,
-1.5707963477900353
] | {
"n_parameters": 5,
"n_qubits": 10,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 152 |
a0d529ca36dd3a1366498490d13dd5e2 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": ... | {"states": [44, 14], "expectation_value": -3.496463938080505, "params": null, "bitstrings": ["010011", "110001"], "total_optimization_steps": 25, "probabilities": [0.06634813061618085, 0.9303663903799576], "optimization_time": 18.685448169708252} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["001110", "110001", "010011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.08588185594382781) q[0];
cx q[4], q[0];
rz(-0.7796390051316933) q[0];
rx(-0.16223409120890334) q[0];
cx q[4], q[1];
rz(0.08588185594382781) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(0.08588185594382781) q[2];
cx q... | 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[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IZIIIZ",
"IZIIZI",
"IIIZZI",
"IIZIZI",
"ZZIIII",
"ZIIZII",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1,
-0.5,
-0.5,
-1
] | 0.976001 | [
0.08588185594382781,
-0.8756859798659048,
-0.7796390051316935,
-0.4654146534934242,
-0.16223409120890334,
-0.17378727443252442,
2.489205451114607,
-1.1559017135907852,
1.5966900435185638
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 34 |
722cfd65a97d72f65fd969d276410f7c | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "... | {"states": [4064, 4032], "expectation_value": -18.027004456984763, "params": [[-0.0859], [0.257]], "bitstrings": ["000000011111", "000000111111"], "total_optimization_steps": 30, "probabilities": [0.0058100255553903135, 0.005899466340779995], "optimization_time": 4.1354594230651855} | -3.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(2)) + -3.0 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + -3.0 * (Z(4) @ Z(3)) + -3.0 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(3)) + ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-54.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.0, "smallest_bitstrings": ["000000111111"], "largest_eigenvalue": 46.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.5909536928122257) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.5909536928122257) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.5909536928122257) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.42924684731323814) q[3];
cx q[1], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[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];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIIIIZIIZII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IZIZIIIII... | [
-3,
-3,
-3,
2,
-3,
-3,
-3,
-3,
2,
-3,
-3,
-3,
-3,
-3,
-3,
0.5,
-2.5,
-2,
0.5,
-2.5,
1,
0.5,
-2.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-3,
-2.5,
2,
-3,
-3,
-2.5
] | 0.581922 | [
0.5909536928122257,
0.42924684731323814,
-0.10877130526090181,
0.7843782138767114,
0.7104599416812793,
0.2581976870980686,
1.1240868091789962
] | {
"n_parameters": 7,
"n_qubits": 12,
"optimal_eigenvalue": -54,
"target_ratio": 0.97,
"target_value": -52.379999999999995
} | 176 |
-1730068884763605341 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 3], [2, 4, 5, 6], [8, 3, 6], [0, 8], [0, 1, 2, 6], [1, 4, 5, 6, 7], [8, 1, 7]]} | {"states": [205, 213], "expectation_value": -0.5879457134210642, "params": [[0.2755], [-0.2766]], "bitstrings": ["100110010", "100101010"], "total_optimization_steps": 30, "probabilities": [0.004628920081492112, 0.004628920081492113], "optimization_time": 4.252123117446899} | 0.5 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.13333333333333333 * (Z(6) @ Z(4)) + 0.13333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.366666666666667, -2.366666666666667], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.283333333333333, "smallest_bitstrings": ["100110010", "100101010"], "largest_eigenvalue": 5.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.32794441489985965) q[0];
h q[1];
ry(1.1497498362841732) q[1];
h q[2];
h q[3];
ry(-0.4731307398343721) q[3];
cx q[2], q[3];
ry(0.4731307398343721) q[3];
cx q[2], q[3];
ry(1.1074211763180724) q[2];
ry(-1.0879898269151522) q[3];
h q[4];
h q[5];
ry(-0.27817772... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIZIII",
"IIZIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"ZIIIIZIII",
"ZIZIIIIII",
"IIIIIIZIZ",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIIIIIZZI",
"IIIIZIIZI",
"IIIZIIIZI",
"IIZIIIIZI",
"ZIIIIIIZI",
"IIIIIIIZZ",
"IZIIZIIII",
"IZIZIIIII",
"... | [
0.5,
0.08333333333333333,
0.08333333333333333,
0.13333333333333333,
0.16666666666666666,
0.16666666666666666,
0.13333333333333333,
0.13333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.05,
0.05,
0.13333333... | 0.970484 | [
1.4507743760211647,
1.1497498362841732,
-0.6558888297997193,
1.0049479853763064,
-0.9462614796687442,
0.7721449820968411,
-0.8746228270378507,
-0.7907512717910193,
0.4522784310602848,
0.6705523884424623,
-0.4641878804926319,
-0.426733999754603,
-0.7162660611011143,
0.17612845287463746,
-... | {
"n_parameters": 51,
"n_qubits": 9,
"optimal_eigenvalue": -2.366666666666667,
"target_ratio": 0.97,
"target_value": -2.295666666666667
} | 17 |
8cc76f28e805fece2381eb674d7a0644 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [992, 1020], "expectation_value": -13.815070235747857, "params": null, "bitstrings": ["0000011111", "0000000011"], "total_optimization_steps": 100, "probabilities": [0.07179223269094295, 0.5626415956716766], "optimization_time": 219.04115176200867} | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(1... | 1 | 10 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["0000000011"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
ry(0.08486863357228604) q[1];
h q[2];
ry(0.08486863357228604) q[2];
h q[3];
ry(0.08486863357228604) q[3];
h q[4];
ry(0.08486863357228604) q[4];
cx q[0], q[4];
ry(-0.08486863357228604) q[4];
cx q[0], q[4];
ry(1.758970450938589) q[0];
cx q[0], q[2];
cx q[... | null | {"node": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[0], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... | [
"IIIIIIIZIZ",
"IIIIIZIZII",
"IIIIIZIIIZ",
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIIZIZI",
"IIIZZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIZIIIIIII"... | [
-1.5,
0.5,
-2.5,
0.5,
-2,
0.5,
-2,
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.972233 | [
0.16973726714457207,
1.758970450938589,
-0.4930403441137996,
0.32020085864004555,
1.3406598763793336,
-0.08520031094680901,
0.5173426574998191,
0.6112333666021205,
1.668186978483231,
2.2830420297118903,
2.291660738539688,
0.06193105793929305,
-1.7047457894691376,
-1.4167319558611047,
0.1... | {
"n_parameters": 56,
"n_qubits": 10,
"optimal_eigenvalue": -18,
"target_ratio": 0.97,
"target_value": -17.46
} | 166 |
9915ff93784d747e82bcd9a73a2399e5 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}]} | {"states": [9, 3], "expectation_value": -7.275005931388309, "params": null, "bitstrings": ["10110", "11100"], "total_optimization_steps": 29, "probabilities": [0.12631059505875555, 0.6745310886168708], "optimization_time": 23.842103481292725} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -3.0 * Z(0) + -2.5 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 6 | 5 | 3 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-0.0251969072812812) q[0];
h q[1];
ry(-0.5380823333224228) q[1];
h q[2];
ry(-0.5380823333224228) q[2];
h q[3];
cx q[3], q[1];
ry(0.5380823333224228) q[1];
cx q[3], q[1];
ry(-0.8810269947366784) q[1];
ry(1.3888852652990713) q[3];
h q[4];
cx q[4], q[2];
r... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5709) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
1.75,
2,
2,
-2.5,
-3,
-2.5,
-2.25,
-2.25
] | 0.972771 | [
-1.7357936832727832,
-1.0761646666448457,
0.8318258295933451,
1.3888852652990713,
-0.5583266175622739,
-0.9112528734271876,
0.7301946700289301,
-0.2369592768426538,
0.13507114255148295,
0.06045175738101835,
0.5736330844182135,
0.4348793797484596,
-0.5033799150929571,
-0.6485481651535171,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 14 |
83e23dbe2433e9aa73d702adc6438772 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "ta... | {"states": [82, 90], "expectation_value": -4.4755058924062165, "params": [[[-0.0001, -0.3609, 0.009000000000000001, 0.0077], [0.2634, -0.0064, 0.26280000000000003, 0.008700000000000001], [0.0007, 0.17420000000000002, 0.0018000000000000002, 0.1759], [0.0558, -0.0456, 0.0543, 0.0], [0.5632, -0.0017000000000000001, 0.0021... | 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(1) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + -0.5 * Z(3) + -1.0 * Z(0) + -0.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(2) + -1.0 * Z(7) + -0... | 12 | 8 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["10100101", "11000101"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.025305131515406667) q[0];
rz(0.02399455392787926) q[0];
rx(2.781251407909597) q[1];
rz(-0.057993492751246226) q[1];
rx(3.0685459835803517) q[2];
rz(0.055117043718906585) q[2];
rx(0.09794028798489873) q[3];
rz(0.07759411088974799) q[3];
rx(3.0685459835803517) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIZZIIII",
"IIZIIIZI",
"IIIIIZZI",
"ZIIIZIII",
"ZIIIIZII",
"IZZIIIII",
"ZZIIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IIIIIIZI",
"IIIIIZII",
"ZIIIIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-1.5,
-0.5,
-0.5,
-1,
-0.5
] | 0.979029 | [
-0.025305131515406667,
0.02399455392787926,
2.781251407909597,
-0.057993492751246226,
3.0685459835803517,
0.055117043718906585,
0.09794028798489873,
0.07759411088974799,
-0.0898359590208185,
3.116517680468256,
0.3483283652634316,
3.378324835254343,
0.2875237716656444,
0.12142353679016477,
... | {
"n_parameters": 18,
"n_qubits": 10,
"optimal_eigenvalue": -4.125,
"target_ratio": 0.97,
"target_value": -4.00125
} | 10 |
7d2e8354bbcbc456262414017816878c | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [23550, 23548], "expectation_value": -2.068101701564247, "params": [0.8977, 0.12040000000000001, 0.4888, 0.0097, 0.9061, 0.063, 0.8995000000000001, 0.0033, 0.8929, -0.0356, 0.8723000000000001, 0.0013000000000000002, 0.8931, 0.0579, 0.8876000000000001, 0.0077, 0.8893000000000001, -0.0653, 0.0859, 0.0067, 0.89... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (... | 6 | 15 | 1 | {"smallest_eigenvalues": [-4.343749999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.343749999999996, "smallest_bitstrings": ["010010000000011"], "largest_eigenvalue": 6.656250000000014} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.5494844452525025) q[0];
rz(1.5486491324501142) q[0];
rx(-0.039678277732931554) q[1];
rz(1.6470472107929357) q[1];
rx(1.6626679060190528) q[2];
rz(1.6681044612233205) q[2];
rx(-0.11077409232451249) q[3];
rz(1.9341065834099869) q[3];
rx(0.6694949907746592) q[4];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIZIZI",
"IIIIIIIIIIIZZII",
"IIIIIIIIIIIIZZZ",
"IIIIIIIIIIIZIZZ",
"IIIIIIIIIIIZZIZ",
"IIIIIIIIIIIZZZI",
"IIIIIIIIIIIZZZZ",
"IIIIIIIIIIZIIIZ",
"IIIIIIIIIZIIIIZ",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIIZ",
"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0... | 0.975682 | [
1.5494844452525025,
-0.022147194344781913,
-0.03967827773293156,
0.07625088399803912,
1.6626679060190526,
0.09730813442842348,
-0.11077409232451248,
0.3633102566150902,
0.6694949907746592,
-0.21616780515378003,
1.3427741687318178,
-0.14268629026902196,
-0.17233115819198355,
0.3278354784641... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 15 |
c8cc4a98ae2322198d431f79e7c08f2a | 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": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [683, 939], "expectation_value": -2.56802359177585, "params": [[[-0.0057, 0.2159, 0.00030000000000000003, 0.009300000000000001], [0.7044, -0.0078000000000000005, 0.7256, 0.0037], [-0.17, 0.004200000000000001, 0.0029000000000000002, 0.0094], [0.5553, -0.0002, 0.8432000000000001, 0.0011], [-0.09240000000000001... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(5) @ Z(6) @ Z(7)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(2) @ Z(8)) + 0.25 * (Z(5) @ Z(8)) + -0.25 * (Z(5) @ Z(2) @ Z(8)) ... | 12 | 11 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -2.25, "smallest_bitstrings": ["11100010000", "10110001000", "1... | 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(0.24612231245573826) q[0];
cx q[5], q[0];
h q[6];
cx q[5], q[6];
rz(0.24612231245573826) q[6];
cx q[5], q[6];
cx q[0], q[6];
cx q[5], q[4];
rz(0.24612231245573826) q[4];
cx q[5], q[4];
rz(-0.1913778146072... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIIZZZII",
"IIIIZZIIIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IIIZZZIIIII",
"IIIIIZIIZII",
"IIZIIIIIZII",
"IIZIIZIIIII",
"IIZIIZIIZII",
"IIIIZIIZIII",
"IIZIIIIZIII",
"IZIIIIIZIII",
"IIZIZIIIIII",
"IZIIZIIIIII",
"IZZIIIIII... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
... | 0.761448 | [
0.24612231245573826,
-0.19137781460726216,
-0.09094711496822111,
-1.8489186511947862,
-1.174023312528797,
2.5565392467270445,
-5.333069231018104,
-2.672371264963156,
-5.166443738452216,
-0.5496848238765973
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 425 |
ea6f28b1d52734982303edc3e4a649bb | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 13, "source": 1, "target": 6}, {"weight": 11, "source": 1, "target": 5}, {"weight": 8, "source": 2, "target": 3}, {"... | {"states": [111, 110], "expectation_value": -53.57848587649014, "params": [0.24500000000000002, 0.274, 0.7914, -0.0051, 0.7865000000000001, 0.062, 0.3811, 0.21730000000000002, 0.7829, -0.0018000000000000002, 0.7866000000000001, 0.0061, 0.7888000000000001, -0.07490000000000001, 0.3945, -0.1625, 0.24280000000000002, 0.26... | 4.0 * (Z(0) @ Z(2)) + 4.0 * (Z(1) @ Z(2)) + 4.0 * (Z(1) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 6.5 * Z(2) +... | 18 | 8 | 4 | {"smallest_eigenvalues": [-62.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -56.5, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 148.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.010579390403300512) q[0];
rz(0.5032633397346796) q[0];
ry(-0.16775742047494524) q[1];
rz(0.4239821625260418) q[1];
cx q[1], q[0];
ry(0.08641991018112673) q[0];
rz(0.8114268101915858) q[0];
ry(0.11118927672779633) q[1];
rz(-0.5652374082435947) q[1];
ry(0.30165731961... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIZIIZI",
"IIIZZIII",
"IIZIZIII",
"IZIIIIZI",
"IZIZIIII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6.5,
3.5,
17.5,
13.5,
8,
11.5,
20.5,
11.5
] | 0.970089 | [
0.010579390403300512,
0.5032633397346796,
-0.16775742047494524,
0.4239821625260418,
0.30165731961222375,
-0.16334054591635155,
-0.08287043178903097,
-0.6586726372166358,
0.30175015715223785,
0.9393288219767209,
0.1699036987785315,
-0.04037235258249219,
-0.14445755865650717,
0.4806517596819... | {
"n_parameters": 55,
"n_qubits": 8,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 29 |
fd0fe06f0ef9530d236e7e1a384c9430 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [250, 218], "expectation_value": -78.33631663075751, "params": [0.1044, 0.4242, 0.7937000000000001, -0.013900000000000001, 0.7933, 0.0946, 0.36960000000000004, 0.2119, 0.783, -0.0106, 0.7861, 0.0981, 0.1872, 0.326, 0.7905000000000001, 0.0655, -0.0009000000000000001, 0.5151, 0.0979, 0.4222, 0.7912, -0.0021000... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(2) @ Z(5)) + 5.5 * (Z(2) @ Z(4)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(5)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * Z(1) + 1.5 * Z(0) + 12.5 * Z... | 18 | 9 | 4 | {"smallest_eigenvalues": [-87.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 162.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.041613061177672765) q[0];
rz(0.1353817438519842) q[0];
rx(0.8996586003765359) q[1];
rz(-0.14729234927632162) q[1];
rx(0.7769035476309384) q[2];
rz(0.16952646898057983) q[2];
rx(0.1678672965562004) q[3];
rz(0.2978461715432605) q[3];
rx(0.827749532841026) 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] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input ... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIZZIIII",
"IIIIIIZIZ",
"IIIZIIZII",
"IIIIZIZII",
"IIIIIZIZI",
"IIIZIZIII",
"IIIIZZIII",
"IIIIIZZII",
"IIZIZIIII",
"IZIIZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
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,
1.5,
12.5,
26,
20,
13.5,
4,
11,
-3.5
] | 0.970399 | [
0.04161306117767277,
0.4229645206080808,
0.8996586003765359,
-0.14729234927632162,
0.7769035476309384,
0.16952646898057983,
0.1678672965562004,
0.2978461715432605,
0.827749532841026,
-0.16038710069783416,
0.7821169068853,
0.19326243941984295,
-0.042746079145619356,
0.26275438944627716,
0... | {
"n_parameters": 105,
"n_qubits": 9,
"optimal_eigenvalue": -87,
"target_ratio": 0.97,
"target_value": -84.39
} | 6 |
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