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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
-6508177323496590703 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 7], [3, 6], [0, 3], [0, 4], [1, 4], [0, 7], [1, 5], [5, 6], [5, 7], [0, 2], [3, 4], [2, 4], [1, 3], [6, 7]]} | {"states": [29, 226], "expectation_value": -0.14895070165150504, "params": [[0.0721], [-0.07590000000000001]], "bitstrings": ["11100010", "00011101"], "total_optimization_steps": 10, "probabilities": [0.004617506068973659, 0.004617506068973659], "optimization_time": 0.6559298038482666} | 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.0 * Z(7) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["00011101", "11100010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
ry(1.959840688157365) q[2];
h q[3];
h q[4];
ry(-0.06384407754468036) q[4];
cx q[3], q[4];
ry(0.06384407754468036) q[4];
cx q[3], q[4];
ry(-0.06550887431299297) q[3];
cx q[0], q[3];
ry(0.06550887431299297) q[3];
cx q[0], q[3];
ry(-0.06598002852447... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[2];
rz(x0) q[2];
cx q[7], q[2];
cx q[7], q[6];
rz(x0) q[6];
cx q[7], q[6];
cx q[6], q[3];
rz(x0) q[3];
cx q[6], q[3];
cx q[7]... | null | {"circuits": [], "gradients": []} | [
"ZIIIIZII",
"ZZIIIIII",
"IZIIZIII",
"ZIIIIIIZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIZII",
"IIIZZIII",
"IIIZIIIZ",
"IIIIZIZI",
"IIIZIIZI",
"ZIZIIIII",
"IZZIIIII",
"IIZIIIZI",
"ZIIIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"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,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.976289 | [
-0.1276881550893607,
1.959840688157365,
-0.13196005704894775,
1.4947746740852992,
1.2942410579526034,
-0.9569597964230087,
-0.13101774862598595,
0.9719383591128312,
-0.8002266242375988,
-0.2830559865261668,
0.12941289701975242,
-0.7400061505773364,
0.4027917913037487,
0.10878470035948909,
... | {
"n_parameters": 52,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 41 |
7f447f2ea35abe57fb9c79f648abf43b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [303, 299], "expectation_value": -82.5559774534752, "params": [0.4983, 0.497, 0.0874, 0.09050000000000001, 0.08950000000000001, 0.0981, 0.49760000000000004, 0.4993, 0.4434, 0.2627, 0.4897, 0.49400000000000005, 0.25570000000000004, 0.2531, 0.4834, 0.48710000000000003, 0.4818, 0.4728, 0.5008, 0.501400000000000... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(2) @ Z(0)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(8) @ Z(5)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(8) @ Z(7)) + 9.5 * Z(0) + 3.5 * Z(1) + 10.0 * Z(3) + 2.5 * Z(2) + 22.0 * Z(5) + -6.5 * Z(4)... | 14 | 9 | 3 | {"smallest_eigenvalues": [-94.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -88.5, "smallest_bitstrings": ["011010100"], "largest_eigenvalue": 157.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.4173749928033983) q[0];
rz(pi/2) q[0];
ry(0.03558502347356521) q[1];
ry(0.11742397385590171) q[2];
ry(0.24146596585300156) q[3];
ry(0.32454736888079844) q[4];
ry(0.44561411360040465) q[5];
ry(-0.1216877817632016) q[6];
ry(0.8221337470577585) q[7];
ry(0.120723295289... | 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] x11;
input float[64] x12;
inp... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIZZIIII",
"IIZZIIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
9.5,
3.5,
10,
2.5,
22,
-6.5,
11,
14,
14.5
] | 0.971287 | [
0.4173749928033983,
0.03558502347356521,
0.11742397385590171,
0.24146596585300156,
0.32454736888079844,
0.44561411360040465,
-0.1216877817632016,
0.8221337470577585,
0.12072329528919114,
0.2515596575341835,
-0.06816672250238859,
-0.325898885795704,
-0.20360590911307636,
0.23209957050646682... | {
"n_parameters": 108,
"n_qubits": 9,
"optimal_eigenvalue": -94.5,
"target_ratio": 0.97,
"target_value": -91.66499999999999
} | 16 |
fbed7eb759f2b5af245b5b20e03cfb23 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [3798, 3799], "expectation_value": -3.249449752876731, "params": [[[0.30820000000000003, -0.009000000000000001], [0.7785000000000001, -0.0067], [0.7844, -0.006200000000000001], [0.0071, 0.0036000000000000003], [0.7673, 0.013300000000000001], [0.7685000000000001, 0.014100000000000001], [0.1272, 0.039900000000... | 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 * (... | 15 | 12 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["000101000100", "100000000101", "010000100001", "001000100010", "001000010100", "000100101000"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(0.09362127717423929) q[0];
rz(0.15898723948650006) q[0];
rx(0.01271788291818901) q[1];
rz(-0.3274973128640216) q[1];
rx(-0.2979108091192296) q[2];
rz(-0.003237763520752778) q[2];
rx(-0.02397760534694167) q[3];
rz(0.10163948195161117) q[3];
rx(0.1688669766569415) 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": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIIZZZI",
"IIIIIIIIZZZZ",
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIIZ",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIZIIZI... | [
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... | 0.970137 | [
0.09362127717423929,
0.15898723948650006,
0.01271788291818901,
-0.3274973128640216,
-0.2979108091192296,
-0.003237763520752778,
-0.02397760534694167,
0.10163948195161117,
0.1688669766569415,
0.1069285924342987,
2.117206731621425,
0.2152560063760715
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -40,
"target_ratio": 0.97,
"target_value": -38.8
} | 5 |
5a95825927ec7bde0a2fb4311f797c48 | 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": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 8}, {"weight": 12, "source": 1, "target": 9}, {"weight":... | {"states": [467, 466], "expectation_value": -83.01315014249961, "params": [0.7681, -0.40790000000000004, 0.7671, 0.0081, 1.395, 0.18530000000000002, 1.3972, 0.006500000000000001, 1.3984, 0.2044, 1.3968, 0.007200000000000001, 1.4039000000000001, 0.1993, 1.3992, 0.005200000000000001, 0.0027, 0.7976000000000001, 0.0033, 0... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(2)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(1)) + 5.5 * (Z(9) @ Z(3)) + 5.5 * (Z(9) @ Z(8)) + 15.5 * Z(1) + 8.5 * Z(0) + 21.0 * ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-97.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -85.5, "smallest_bitstrings": ["1000101101"], "largest_eigenvalue": 161.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.11752502141377616) q[0];
rz(-1.451644675025845) q[0];
rx(1.539900920434155) q[1];
rz(0.30507936041839967) q[1];
rx(1.2308867039941174) q[2];
rz(-0.23557316587420862) q[2];
rx(1.8617807285493242) q[3];
rz(0.19709067127837665) q[3];
rx(-0.09385877305236986) 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": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIZIIIIZII",
"IZIIIIIIZI",
"IZIIIIIZII",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZIIIIIZIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII"... | [
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,
15.5,
8.5,
21,
11.5,
6.5,
-3.5,
-2.5,
2.5,
20,
10.5
] | 0.972342 | [
0.11752502141377616,
-1.1455967301433656,
1.539900920434155,
0.3223504634232518,
1.2308867039941174,
-0.33728283797910363,
1.8617807285493244,
0.1754520693787332,
-0.09385877305236986,
1.3790174057047322,
1.573104552810879,
0.1971283360713546,
-0.10497883549576671,
0.809609205333135,
0.1... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -97.5,
"target_ratio": 0.97,
"target_value": -94.575
} | 52 |
06224520ded029e940b1fde3f5ab3e3b | 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": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [35, 42], "expectation_value": -2.9963973626076346, "params": null, "bitstrings": ["011100", "010101"], "total_optimization_steps": 23, "probabilities": [0.06635256276067618, 0.9303255856453795], "optimization_time": 15.642027139663696} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["010101", "011100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4604609545342588) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.4604609545342588) q[1];
cx q[0], q[1];
rz(-0.5961919399360327) q[0];
rx(-0.8240718412880712) q[0];
cx q[3], q[2];
rz(0.4604609545342588) q[2];
cx q[3], q[2];
h... | null | 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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIZIIZ",
"IIIIZZ",
"IZIIZI",
"IIZZII",
"ZIZIII",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
0,
-0.5,
-0.5
] | 0.720304 | [
0.4604609545342588,
-1.0130158982300328,
-0.5961919399360321,
0.10159268481627397,
-0.8240718412880712,
1.653056793347183,
-2.4998589588665014,
-1.3174178256009759,
-0.48477462442147073
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 246 |
4743a42b98680c4f321c8f72a752812d | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 4, "source": 3, "target": 4}, {"capaci... | {"states": [446, 447], "expectation_value": -11.114031889911338, "params": [[[1.0767, 0.0021000000000000003, 0.0097, 0.0032], [0.2958, 0.0017000000000000001, -0.07060000000000001, 0.0098], [0.0015, 0.6532, 0.0045000000000000005, 0.6506000000000001], [0.5873, -0.0128, 0.5962000000000001, 0.009000000000000001], [-0.00420... | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(8)) + 1.0 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(8)) + 2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6... | 12 | 9 | 3 | {"smallest_eigenvalues": [-12.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.833333333333334, "smallest_bitstrings": ["001000000"], "largest_eigenvalue": 30.166666666666668} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.46649451005994) q[0];
h q[1];
ry(0.6154181234488859) q[1];
h q[2];
ry(-0.5514930215325138) q[2];
h q[3];
cx q[3], q[1];
ry(-0.6154181234488859) q[1];
cx q[3], q[1];
ry(0.8741378410306877) q[3];
cx q[1], q[3];
ry(-0.8741378410306877) q[3];
cx q[1], q[3];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IZIIIZIII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIZZIII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIZIZIII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIZZIIII",
"IIZIIZIII",
"IZZIIIIII",
"ZIZIIIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"... | [
-0.5,
-0.5,
0.33333333333333337,
-0.5,
-0.5,
1,
0.5,
-0.5,
-0.5,
1,
-1,
-1,
2,
0.5,
-0.5,
-0.5,
1,
2,
1,
0.16666666666666674,
0.16666666666666674,
-0.5,
-0.5,
3.5,
7,
3.5,
-0.16666666666666666
] | 0.972673 | [
0.2709847211916842,
0.40264555795763096,
0.12899811327846203,
1.513137859795444,
0.35718583373419116,
1.7142782611060803,
1.7328222848880896,
0.6485768347912756,
1.4510178964029241,
1.2308362468977718,
1.7482756820613754,
0.93298902011988,
0.15122911101274447,
-1.1029860430650276,
0.1357... | {
"n_parameters": 46,
"n_qubits": 9,
"optimal_eigenvalue": -12.166666666666666,
"target_ratio": 0.97,
"target_value": -11.801666666666666
} | 19 |
155388a51f67e78b5cb4ef00a89a070e | 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": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 6}]} | {"states": [71, 85], "expectation_value": -3.4991049506313137, "params": null, "bitstrings": ["0111000", "0101010"], "total_optimization_steps": 34, "probabilities": [0.06552859477802893, 0.9338463427814478], "optimization_time": 28.262308359146118} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + 0.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(3) + -0.5 * Z(2) + 0.0 * Z(5) + 0.0 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["0101010", "0111000"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.5552024880387824) q[0];
rz(2.173491543047642) q[0];
rx(-0.021432730878157114) q[1];
rz(1.5854448914960635) q[1];
rx(0.08647489835213272) q[2];
rz(1.4767621538449163) q[2];
rx(-0.14845667224857556) q[3];
rz(0.9389022761135877) q[3];
rx(0.7033000905919017) q[4];
rz(1... | 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(-1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIZIIZI",
"IIZZIII",
"IIIZZII",
"IZIIZII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIZIII",
"IIIIZII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-0.5,
-1,
-0.5,
0,
0
] | 0.970783 | [
0.5552024880387824,
0.602695216252745,
-0.021432730878157114,
0.014648564701166138,
0.08647489835213272,
-0.09403417294998005,
-0.14845667224857556,
-0.6318940506813102,
0.7033000905919017,
-0.5231828220558223,
0.16331503638394998,
-0.06395732096708569,
0.6571705851500236,
-0.1287814249440... | {
"n_parameters": 125,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 172 |
4d70328aecc8c1ea3157fc10838636c1 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [38, 7], "expectation_value": -2.0865227319060557, "params": [[-0.0267, -0.038], [0.0095, 0.0333]], "bitstrings": ["1011001", "1111000"], "total_optimization_steps": 10, "probabilities": [0.00938433255462504, 0.009616788803351952], "optimization_time": 5.257248878479004} | 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 ... | 16 | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | {"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 |
1f7ecc280cda61f5cab84a61a88936dc | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}, {"id": 15}, {"id": 16}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target":... | {"states": [65535, 65504], "expectation_value": -6.19043104365672, "params": [[-0.0694], [0.0755]], "bitstrings": ["0000000000000000", "0000000000011111"], "total_optimization_steps": 10, "probabilities": [6.654065628554838e-05, 6.864090800898402e-05], "optimization_time": 87.74002456665039} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(0)) + 1.5 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(4)) + -3.0 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + 1.0 * (Z(2) @ Z(4)) + -3.0 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + -2.0 * (Z(3) @ Z(2)) + -2.5 * (Z(6) @ Z(8)) + 1.5... | 10 | 16 | 1 | {"smallest_eigenvalues": [-55.49999999999949], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -52.49999999999907, "smallest_bitstrings": ["0000000000011111"], "largest_eigenvalue": 67.49999999999963} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.6799053616573326) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.6799053616573326) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.6980094937092293) q[4];
cx q[0], q[4];
h q[5];
cx q[1], q[5];
rz(0.4700757162595833) q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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];
... | {"node": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIZIIZI",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIIIIZ",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIZII",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIIIZZII",
"IIIIIIIZIZIIIIII",
"IIIIIZI... | [
-2.5,
-2.5,
-2,
1.5,
-2.5,
-2.5,
-3,
1,
1,
-3,
0.5,
0.5,
-2,
-2.5,
1.5,
-2.5,
-2.5,
1,
-2.5,
-2.5,
1,
-2.5,
1,
-3,
2,
-3,
-3,
-3,
-3,
-3,
-3,
-3,
1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-2.5,
-2.5,
... | 0.550299 | [
0.6799053616573326,
0.6980094937092293,
0.4700757162595833,
0.5680306321019827,
0.45376654898341895,
-0.024877571091564982,
0.35222266212522446,
1.0550195983400812
] | {
"n_parameters": 8,
"n_qubits": 16,
"optimal_eigenvalue": -55.49999999999949,
"target_ratio": 0.97,
"target_value": -53.8349999999995
} | 240 |
570afb120ac224dc3123b6884272022a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [100, 13], "expectation_value": -1.0285472668974687, "params": [[-0.0625, -0.050300000000000004, -0.0724], [0.0712, 0.063, 0.0675]], "bitstrings": ["0011011", "1110010"], "total_optimization_steps": 10, "probabilities": [0.01344314698794075, 0.013444924960337166], "optimization_time": 3.9070661067962646} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -0.5 * Z(6) + -1.0 * Z(1) + -1.0 * Z(5) + 0.0 * Z(4) | 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": ["0011011", "0111001", "1111000", "1110010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.3835861564523282) q[0];
ry(-0.12865901623097226) q[1];
ry(-0.541033750035841) q[2];
ry(0.19592575110006732) q[3];
ry(0.13925502177702181) q[4];
ry(0.17628327655625287) q[5];
ry(2.2481322520163918) q[6];
ry(-0.01313067584445033) q[7];
ry(1.7935360786981223) q[8];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"ZIIIIIZ",
"IIIZIZI",
"ZIIIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"IIZIZII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-0.5,
-1,
-1,
0
] | 0.978616 | [
1.3835861564523282,
-0.12865901623097226,
-0.541033750035841,
0.19592575110006732,
0.13925502177702181,
0.17628327655625287,
2.2481322520163918,
-0.01313067584445033,
1.7935360786981223,
-0.029196006502633695,
1.5676660849581137,
3.074527066512088,
0.6408159439767485,
3.037196536579389,
... | {
"n_parameters": 19,
"n_qubits": 10,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 38 |
3670c7801b6cdd8a09a5039cdc5a60e0 | 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": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, ... | {"states": [57, 29], "expectation_value": -3.9991448354521024, "params": null, "bitstrings": ["1000110", "1100010"], "total_optimization_steps": 34, "probabilities": [0.06552939788250299, 0.9338659278590015], "optimization_time": 23.800387382507324} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + -0.5 * Z(4) + -1.0 * Z(0) + -0.5 * Z(6) + 0.0 * Z(3) + -0.5 * Z(1) + -1.0 * Z(5) + 0.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["1000110", "1100010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-6.2236950536555655e-09) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-6.2236950536555655e-09) q[1];
cx q[4], q[1];
rz(-0.5235988385996864) q[4];
rx(1.5707963109233245) q[4];
h q[5];
h q[6];
cx q[0], q[6];
rz(-6.223695... | 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(-1.5681) 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];\nc[6] = measure q[6];\n", ... | [
"IIZIIIZ",
"ZIIIIIZ",
"IIIZIIZ",
"IIZIIZI",
"ZZIIIII",
"IZIIIZI",
"IZIIZII",
"IIZIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIIZI",
"IZIIIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
0,
-0.5,
-1,
0
] | 0.78125 | [
-6.2236950536555655e-9,
-0.5235988385996866,
1.5707963547349624,
-1.5707963151749573,
1.5707963109233245
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 146 |
474afac3a31ba487f93ea7ccb82b3637 | 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": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "source": 0, ... | {"states": [83, 85], "expectation_value": -16.172240777607765, "params": null, "bitstrings": ["10101100", "10101010"], "total_optimization_steps": 77, "probabilities": [0.05571345186147708, 0.7665055652737572], "optimization_time": 120.21930360794067} | -0.75 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.75 * (Z(7) @ Z(1)) + 2.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["10101010"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.36872562284623683) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0013655158718997333) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.00014135006894810655) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.8230635131707402) q[4];... | 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(1.5577) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIIZI",
"IIIZIIIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIZIZI",
"IZIIIIZI",
"IZIIIZII",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"ZIZIIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIII... | [
-0.75,
-1.25,
-1,
-0.5,
-1.75,
2.75,
-0.25,
-1,
-1.5,
-0.75,
-1,
-1.25,
-1,
-1.5,
-1.25,
3.5,
-0.25,
-1.75,
-2.25,
-0.75,
0.25,
-2.25,
3.5
] | 0.701154 | [
-0.36872562284623683,
0.0013655158718997333,
0.00014135006894810655,
-0.8230635131707402,
0.436838185920855,
-0.026107577769653063,
0.6164086498279017,
0.0005290909695814357,
-1.5695427040038046,
1.5735797033135825,
-1.5707911703690771,
1.5642689749322976
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 323 |
3535320976369678949 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 3, 4, 5, 6], [0, 1, 2, 3, 4, 6]]} | {"states": [105, 77], "expectation_value": -0.003650379292741014, "params": [[-0.07150000000000001], [0.0487]], "bitstrings": ["0010110", "0110010"], "total_optimization_steps": 10, "probabilities": [0.007863319321163777, 0.00786331932116378], "optimization_time": 10.52524709701538} | 0.06666666666666667 * (Z(0) @ Z(1)) + 0.06666666666666667 * (Z(3) @ Z(1)) + 0.06666666666666667 * (Z(3) @ Z(0)) + 0.06666666666666667 * (Z(4) @ Z(1)) + 0.06666666666666667 * (Z(4) @ Z(0)) + 0.06666666666666667 * (Z(4) @ Z(3)) + 0.03333333333333333 * (Z(5) @ Z(1)) + 0.03333333333333333 * (Z(5) @ Z(0)) + 0.03333333333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-0.4000000000000001, -0.4000000000000001, -0.4000000000000001], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.39999999999999997, "smallest_bitstrings": ["0011010", "0110010", "1010010"], "largest_eigenvalue": 2.0000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.11359831485110987) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.11359831485110987) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.11359831485110987) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.11359831485110987) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIZZI",
"IIIIZIZ",
"IIIZZII",
"IIZIZII",
"ZIIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZI... | [
0.06666666666666667,
0.06666666666666667,
0.06666666666666667,
0.06666666666666667,
0.06666666666666667,
0.06666666666666667,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.06666666666666667,
0.06666666666666667,
0.06666666666666667,
0.066666666666666... | 0.871775 | [
-0.11359831485110987,
-0.09557488838478327,
-1.0835206767827752,
1.5011822857936001,
1.1580077008035994
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -0.4000000000000001,
"target_ratio": 0.97,
"target_value": -0.38800000000000007
} | 196 |
8a8a4905c9b0f8fd7847dc408134a288 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}], "edges": [{"capacity": 5, "source": 0, "target": 1}]} | {"states": [4, 0], "expectation_value": -0.04051204920856728, "params": [[0.030000000000000002, 0.0521], [-0.0196, -0.0383]], "bitstrings": ["011", "111"], "total_optimization_steps": 10, "probabilities": [0.1277368652796091, 0.1326509586606666], "optimization_time": 2.065955877304077} | -0.2 * (Z(0) @ Z(1)) + -0.4 * (Z(2) @ Z(1)) + -0.2 * (Z(2) @ Z(0)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) | 1 | 3 | 2 | {"smallest_eigenvalues": [-3.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["111"], "largest_eigenvalue": 1.7000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.06424924399158577) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.04813350541764115) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(1.5498376269972) q[1];
rx(1.7036418680237873) q[1];
rz(-0.06424924399158577) q[2];
cx q[0], q[2];
rz(1.2431... | 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[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(x0) q[0];
cx q[1],... | {"source": 0, "sink": 1} | {"circuits": [], "gradients": []} | [
"IZZ",
"ZZI",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
-0.2,
-0.4,
-0.2,
-1,
-0.5,
-1
] | 0.971481 | [
-0.06424924399158577,
0.04813350541764115,
1.5498376269971996,
1.2431540253041897,
1.7036418680237873
] | {
"n_parameters": 5,
"n_qubits": 3,
"optimal_eigenvalue": -3.3,
"target_ratio": 0.97,
"target_value": -3.2009999999999996
} | 20 |
47c90a1844bb68a81c49cc01fe4989e8 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [235, 255], "expectation_value": -22.408249239262943, "params": null, "bitstrings": ["1100010100", "1100000000"], "total_optimization_steps": 100, "probabilities": [0.04964522535713507, 0.8088762612629546], "optimization_time": 203.64443850517273} | 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(3) @ Z(4)) + 2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 2.0 * (Z(7) @ Z(3)) + 2.0 * (Z(7) @ Z(6)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z... | 1 | 10 | 4 | {"smallest_eigenvalues": [-24.833333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.833333333333332, "smallest_bitstrings": ["1100000000"], "largest_eigenvalue": 55.166666666666664} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.1813424485071628) q[0];
cx q[1], q[0];
rz(-0.12463552154992241) q[0];
rx(-1.2421529423468263) q[0];
rz(-0.2544248103281359) q[1];
rx(-1.2421529423468265) q[1];
cx q[1], q[0];
rz(-3.2205034676259676) q[0];
cx q[1], q[0];
rz(1.4810378... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(18.1362) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5... | [
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIZZII",
"IIIZIIIZII",
"IIIZIIZIII",
"IIZIIIIZII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"ZIIZIIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZZ",
"IIIIIZIIII",
"IIIIIIIZII"... | [
0.5,
1,
2,
0.5,
1,
1,
2,
2,
-0.5,
-1,
-0.5,
-1,
0.5,
1,
0.5,
1,
0.5,
-0.3333333333333333,
2,
4.5,
9,
5,
10,
-2,
2.5,
2.5,
-1,
-0.5
] | 0.950569 | [
0.06583836217984403,
0.02424617956702617,
0.02628092965861942,
-0.12463552154992238,
-0.25442481032813585,
-0.1813424485071628,
1.6448560843536073,
1.9812957884316302,
1.6043223553640227,
2.003992131822368,
1.9286176302370583,
1.298515420062773,
-1.2421529423468265,
-0.6759533731163639,
... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -24.833333333333336,
"target_ratio": 0.97,
"target_value": -24.088333333333335
} | 500 |
e21ce055fb43ca19f8a0e6dffd4c363b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target":... | {"states": [400, 432], "expectation_value": -6.636311714169724, "params": [[[0.0016, 0.0021000000000000003], [1.6297000000000001, 0.0055000000000000005], [1.7051, 0.0004], [-0.0016, 0.004], [1.6162, 0.0074], [1.7031, 0.0023], [-0.006500000000000001, 0.006500000000000001], [1.5169000000000001, 0.0011], [1.4957, 0.000300... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -7.5, "smallest_bitstrings": ["1101111000", "0111101001", "0111111000", "1001101011", "1101001101", "1001001111", "1001110011", "1101101001", "1001010111"], "largest_eigenvalue":... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.06796034882618335) q[0];
rz(-0.6143491665858642) q[0];
rx(3.194231486658845) q[1];
rz(-0.5820626720570838) q[1];
rx(3.9697665968835247) q[2];
rz(1.0466420975607713) q[2];
rx(-0.033870240597840065) q[3];
rz(0.21880240751779306) q[3];
rx(3.269334538280302) 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": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIZIIIIIZ",
"IIIZIIZIII",
"IZIIIIIIZI",
"IZIZIIIIII",
"ZIIIIIIIZI",
"ZIIIIIZIII",
"ZIIIIZIIII",
"ZIIZIIIIII",
"IIIIZIZIII",
"IIIZZIIIII",
"ZIIIZIIIII",
"IIZIIZIIII",
"IIIIIIIIZI"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-2,
-0.5,
-3,
-1.5,
-2,
-0.5,
-2,
-1,
0
] | 0.972663 | [
0.06796034882618335,
-0.6143491665858642,
3.194231486658845,
-0.5820626720570838,
3.9697665968835247,
1.0466420975607713,
-0.033870240597840065,
0.21880240751779306,
3.269334538280302,
0.04122933068156015,
2.8760036204533943,
-0.43207253386093725,
0.007955861984081847,
-0.02980406791864986... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 22 |
fdd5a11f2be90637dfa114c5640edb58 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target":... | {"states": [773, 781], "expectation_value": -5.191293745054399, "params": [0.8092, 0.8025, 0.8093, 0.8088000000000001, -0.015000000000000001, -0.0158, -0.016300000000000002, -0.0148, 0.1496, 0.1507, -0.0055000000000000005, -0.0105, 0.8026000000000001, 0.8004, 0.7967000000000001, 0.8034, -0.0158, -0.010700000000000001, ... | 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["0011110010"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(2.334898822514453) q[0];
rz(pi/2) q[0];
ry(1.3209299151310532) q[1];
ry(0.07627874635064401) q[2];
ry(0.1808230801282463) q[3];
ry(-0.03251639407276036) q[4];
ry(0.24091038494023997) q[5];
ry(1.6213438561552238) q[6];
ry(1.2039612739395322) q[7];
ry(-0.0758551101510... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IZIIIIIIIZ",
"IIIIIIIZZI",
"IZIIIIZIII",
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIIZIIZII",
"ZIIIIIIZII",
"ZIIIZIIIII",
"IZZIIIIIII",
"IIZIIIZIII",
"IIZIZIIIII",
"IIIIZZIIII",
"ZIIIIZIIII",
"IZIZIIIIII",
"IIIZIZIIII",
"IZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIZIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1.5,
-0.5,
-1.5,
-1.5,
-1,
-1,
-1,
-0.5
] | 0.971637 | [
2.334898822514453,
1.3209299151310532,
0.07627874635064401,
0.1808230801282463,
-0.03251639407276036,
0.24091038494023997,
1.6213438561552238,
1.2039612739395322,
-0.0758551101510507,
1.778910401421737,
0.8059119967334393,
0.10685485493727759,
-0.2799958659405065,
0.5680383659202719,
0.3... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 43 |
4866216857570050507 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 2, 3], [3, 6, 7, 8, 9], [0, 3, 4, 5, 6], [1, 2, 4, 6, 7, 8], [8, 5, 6], [1, 3, 4, 5, 6, 7], [2, 5], [0, 9, 2, 1], [9, 5], [0, 1, 5, 7], [9, 3, 4], [2, 3, 7]]} | {"states": [943, 687], "expectation_value": -3.234441571384219, "params": [1.6913, -0.0565, 1.4183000000000001, 0.009600000000000001, 1.2386000000000001, -0.2967, 0.8833000000000001, 0.0039000000000000003, 1.6512, -0.0485, 1.4834, 0.0073, 0.6786, -0.6018, 0.6517000000000001, 0.0028, 1.6851, 0.0011, 1.4357, 0.0076, 0.15... | 0.19999999999999998 * (Z(8) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.21666666666666667 * (Z(3) @ Z(8)) + 0.03333333333333333 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(8)) + 0.13333333333333333 * (Z(6) @ Z(3)) + 0.19999999999999998 * (Z(7) @ Z(2)) + 0.08333333333333334 * (Z(7) @ Z(8)) + 0.25 * (Z(7) @ Z(3)) + 0.1166666... | 5 | 10 | 1 | {"smallest_eigenvalues": [-3.416666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.2666666666666666, "smallest_bitstrings": ["0101010000"], "largest_eigenvalue": 11.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.8139475246138206) q[0];
rz(0.21810764719458042) q[0];
rx(0.8931805938174792) q[1];
rz(-0.7826512529787042) q[1];
rx(1.8436087221559077) q[2];
rz(0.015996857796139796) q[2];
rx(0.412615931708442) q[3];
rz(-1.0577328767064378) q[3];
rx(1.62649549477499) q[4];
rz(0.4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIZII",
"IIIIIIZZII",
"IZIIIIZIII",
"IIIZIIIZII",
"IZIZIIIIII",
"IIIZIIZIII",
"IIZIIIIZII",
"IZZIIIIIII",
"IIZIIIZIII",
"IIZZIIIIII",
"ZIIIIIIZII",
"ZZIIIIIIII",
"ZIIIIIZIII",
"ZIIZIIIIII",
"ZIZIIIIIII",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"ZIIIIIIIIZ"... | [
0.19999999999999998,
0.3333333333333333,
0.21666666666666667,
0.03333333333333333,
0.25,
0.13333333333333333,
0.19999999999999998,
0.08333333333333334,
0.25,
0.11666666666666667,
0.08333333333333333,
0.05,
0.21666666666666667,
0.05,
0.05,
0.08333333333333333,
0.05,
0.05,
0.083333... | 0.970679 | [
1.8139475246138206,
0.2027125308247475,
0.893180593817479,
-0.5932622469677613,
1.8436087221559077,
-0.014815909125960085,
0.412615931708442,
-0.831068246780054,
1.62649549477499,
0.4115337178888786,
0.004506507293704217,
0.20901712268314587,
1.6793387384494545,
0.1040837354529208,
1.775... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -3.416666666666667,
"target_ratio": 0.97,
"target_value": -3.314166666666667
} | 63 |
18c5f7c2ce8331e800bea78b71ea2f0c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"sour... | {"states": [0, 224], "expectation_value": -22.592886510466606, "params": [-0.0026000000000000003, 0.20550000000000002, 0.0019, 0.3961, -1.6329, -0.0, 0.0024000000000000002, 0.0007, -0.0025, 0.0099, 0.0025, 0.0031000000000000003, 0.0024000000000000002, 0.0025, 0.0025, 0.00030000000000000003, 3.1376, 3.1436, -1.1646, 0.0... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -3.0 * (Z(3) @ Z(4)) + -3.0 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(3)) + -3.0 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(5)) + -3.0 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) +... | 4 | 8 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["00011111"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.570796304563947) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.570796304563947) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(2.0136769585121783e-08) q[1];
rx(1.57079633672853) q[1];
rz(1.570796304563947) q[2];
cx q[0], q[2];
rz(2.0136769... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIZIIII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
-1.5,
-1.5,
-1.5,
-3,
-3,
-2.5,
-3,
-2.5,
1,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-2,
1.5,
-1.5,
1
] | 0.612008 | [
1.570796304563947,
-1.9829496903805785e-9,
0.6156751170975091,
-0.059653119697282535,
2.013676934040073e-8,
1.5707962875962194,
1.5707963714949147,
1.5707963367285303
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 263 |
d30c0386d8d3b385abfc19e03f7b5ca3 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [14, 13], "expectation_value": -0.546002868448184, "params": [[0.06960000000000001, 0.075], [-0.053700000000000005, -0.058800000000000005]], "bitstrings": ["110001", "110010"], "total_optimization_steps": 10, "probabilities": [0.020425028718909836, 0.021090862353208437], "optimization_time": 3.09994959831237... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["110001", "110010"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.02172569596093698) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.02172569596093698) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.02172569596093698) q[2];
cx q[0], q[2];
rz(1.736499027868886) q[2];
rx(-1.6454317969910583) q[2];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"ZIIIZI",
"ZIIIIZ",
"IZIIZI",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-0.5,
-0.5,
-1,
-0.5
] | 0.988948 | [
-0.02172569596093698,
-1.632171019885014,
-1.5273591642926907,
1.736499027868886,
-1.63086528192634,
-1.6454317969910583
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 32 |
7364134617263499022 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 4], [2, 3], [1, 3], [0, 2], [2, 5]]} | {"states": [56, 26], "expectation_value": -0.3797419443714409, "params": [0.9869, -0.2436, 0.7085, 0.0048000000000000004, 1.0001, 0.3774, 0.8928, 0.0022, 0.9919, 0.3624, 0.9118, 0.0092, 0.9777, 0.3912, 0.6601, 0.0001, 1.0018, -0.29610000000000003, 0.9807, 0.0026000000000000003, 0.9896, 0.41490000000000005, 0.7161000000... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) | 5 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["100101", "011010"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.8563570678354413) q[0];
cx q[4], q[0];
cx q[0], q[2];
rz(-0.8563570678354413) q[2];
cx q[0], q[2];
rz(-3.81748694877615e-08) q[0];
rx(0.7853981668798803) q[0];
cx q[2], q[3];
rz(-0.8563570678354413) q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IZIIIZ",
"IIIZIZ",
"IIZZII",
"IIZIZI",
"ZIIZII",
"IZIIII",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.521919 | [
-0.8563570678354413,
-3.81748696956406e-8,
0.7853981668798804
] | {
"n_parameters": 3,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 99 |
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": -0.1936285003122359, "params": [[0.0584], [-0.049800000000000004]], "bitstrings": ["1111100", "1000000"], "total_optimization_steps": 10, "probabilities": [0.008687531966814733, 0.008731205480323103], "optimization_time": 1.7566075325012207} | -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 | 1 | {"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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"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 |
ed46de376d1660326c9e503ea9950a07 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [66, 3], "expectation_value": -19.999569717192045, "params": [[-0.0364, -0.01, 0.0046, 0.0193], [0.07350000000000001, 0.0671, 0.060700000000000004, 0.0516]], "bitstrings": ["0111101", "1111100"], "total_optimization_steps": 10, "probabilities": [0.020811357657890696, 0.02276219667261071], "optimization_time"... | 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)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 13 | 7 | 4 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.06885345192683487) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.06885345192683487) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.06885345192683487) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.06885345192683487) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
-10,
-10,
-10.5,
-10,
-10,
-9.25,
-9.25
] | 0.975493 | [
0.06885345192683487,
0.22761518371396905,
1.6693107203407738,
1.8112030378322537,
-0.6694555841207032,
0.46345917959819155,
-0.0049250157682909634,
-0.1730709160346522,
0.046383083187558294,
-0.13700343575253615,
-0.6684023739074303,
1.0372311699561239,
0.5016828164711846,
0.47691842854795... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -31,
"target_ratio": 0.97,
"target_value": -30.07
} | 39 |
28550855a20366800e3fd917bf6489e0 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [0, 1], "expectation_value": -4.771876686961502, "params": [0.0053, 0.24400000000000002, 0.0034000000000000002, 0.30060000000000003, 0.0006000000000000001, 0.3104, 0.006, 0.2957, 0.0011, 0.20570000000000002, 0.0028, 0.3035, 0.0011, 0.2761, 0.4066, 0.004, -0.0007, 0.2479, 0.0002, 0.31270000000000003, 0.0059, ... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 4 | 8 | 4 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000", "11111110", "11100110", "11101110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.15216926898181918) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.15216926898181918) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.05788856062893183) q[5];
cx q[0], q[5];
cx q[2], q[5];
rz(0.15216926898181918) q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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",
"IIIIIZIZ",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IZIIIZII",
"IZZIIIII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZZIIIIII",
"ZIIIZIII",
"IIIZIIZI",
"IIZZIIII",
"IZIZIIII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZIII",
"IIIZIII... | [
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.75,
1.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
0,
-0.25,
0.25,
0,
-0.75,
0.25,
0,
0.5
] | 0.970246 | [
0.15216926898181918,
0.05788856062893183,
-0.39706471093018897,
-0.4983538334088068,
-0.6196842796802551,
-0.8562234492096112,
-0.7118375263136241,
1.5192229975930538,
0.31351551366482816,
0.21708871535439847,
-0.41629988721034344,
-1.1950335447601863,
-0.3996149728763092,
-0.3579384860504... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 333 |
b0dd1050887f092ff1c439d2cb12f6fe | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 5, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [33, 1], "expectation_value": -1.002526793745601, "params": [[0.058600000000000006, 0.027200000000000002, -0.0385, -0.0434], [-0.0688, -0.0483, -0.0095, 0.0211]], "bitstrings": ["11011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.00659438094933527, 0.007361832791188287], "optimizatio... | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(1)) + 2.0 * (Z(7) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(5) + -0.25 * Z(6) + 1.5 * ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 12.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.02787926834651001) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.24392621843085915) q[5];
cx q[0], q[5];
h q[6];
cx q[1], q[6];
rz(0.5363659672322102) q[6];
cx q[1], q[6];
cx q[5], q[6];
rz(0.027879268346510... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIZIIIIZ",
"IZIIIIZI",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIIIIZZI",
"IIZIZIII",
"IIIIZZII",
"IIIZIIZI",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII"
] | [
-1,
-0.75,
-1.25,
-1,
-0.5,
2,
-0.25,
-0.5,
-0.5,
-1,
-1.5,
-0.5,
-0.25,
-1.25,
-0.25,
1.5,
-0.25,
1.5,
-0.5
] | 0.843743 | [
0.02787926834651001,
0.24392621843085915,
0.5363659672322102,
0.060809672220954014,
-0.33653079246115875,
0.7872732637562534,
2.18834440632333,
-0.751538289689594,
1.563181975540617,
0.06826669057277454,
0.3961428165268017,
1.040659004519177,
0.05826405621687344,
-0.564036277934697,
1.09... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -12.25,
"target_ratio": 0.97,
"target_value": -11.8825
} | 500 |
9aafe0580999b1b0b4b8e8eda0d2bc18 | 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": 15, "source": 0, "target": 2}, {"weight": 18, "source": 0, "target": 3}, {"weight": 11, "source": 0, "target": 5}, {"weight": 1... | {"states": [186, 124], "expectation_value": -8.085439424316897, "params": [[-0.0417], [0.0487]], "bitstrings": ["01000101", "10000011"], "total_optimization_steps": 10, "probabilities": [0.006010780527971782, 0.006521299432981605], "optimization_time": 2.494814872741699} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(5) @ Z(0)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["10000011"], "largest_eigenvalue": 154.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.008488357935385014) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.008488357935385014) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.008488357935385014) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.008488357935385014) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIZIIIIZ",
"IIZIIZII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
18,
12,
19.5,
12.5,
14,
13,
11.5,
-2
] | 0.975971 | [
-0.008488357935385014,
1.2282148178064172,
-0.8433163024275433,
1.9725853102242956,
0.7728853189660121,
1.8680963585552939,
1.0323223109501083,
-1.0872816684056126,
-1.4919523916296222,
-1.1032332760214447,
0.051606515557825625,
0.9174931232599342,
-0.7487650083959976,
-0.9471809696574603,... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -69.5,
"target_ratio": 0.97,
"target_value": -67.41499999999999
} | 87 |
df62b430c122c4297c9377287854fb07 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [5, 13], "expectation_value": -1.7498922833597426, "params": [[[-0.0022, 0.6577000000000001], [-0.4994, 0.2577], [0.7865000000000001, -0.0028], [0.007200000000000001, 0.9644], [0.5352, -0.0002]], [[0.0011, 0.6987], [-0.4948, 0.24860000000000002], [0.7899, -0.0026000000000000003], [-0.0067, 1.0385], [0.5358, ... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(1) + 0.0 * Z(4) + 0.5 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.25, -2.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.25, "smallest_bitstrings": ["10010", "10000"], "largest_eigenvalue": 1.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.4192363165159487) q[0];
h q[1];
ry(0.8083877277033201) q[1];
h q[2];
ry(1.5715365335575289) q[2];
cx q[2], q[1];
ry(-0.8083877277033201) q[1];
cx q[2], q[1];
ry(0.0015275764421637146) q[2];
h q[3];
h q[4];
cx q[4], q[0];
ry(0.4192363165159487) q[0];
cx q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IZIIZ",
"IZIZI",
"ZZIII",
"ZIIIZ",
"ZIIZI",
"IIZZI",
"IZIII",
"IIIIZ",
"IIIZI",
"ZIIII",
"IIZII"
] | [
-0.25,
-0.5,
-0.25,
0.5,
-0.25,
-0.5,
-0.5,
-0.25,
0.25,
0,
0.5
] | 0.976145 | [
1.5715365335575289,
1.6167754554066402,
-0.8384726330318975,
1.0454948872417675,
-1.0162029767581646,
0.5475724000797026,
-0.2924915317005682,
0.003055152884327429,
0.13920020947575934,
0.14473740227131043,
-0.1293458458327996,
-0.034238716862651924
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 8 |
5a8eac0760a558d4174437be478ec0aa | 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": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [4, 8], "expectation_value": -2.383913087124995, "params": null, "bitstrings": ["1011", "0111"], "total_optimization_steps": 8, "probabilities": [0.12800218251741974, 0.7559118157937839], "optimization_time": 2.9596683979034424} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["1011", "0111"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.82536574049687) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.24273634073259914) q[1];
h q[2];
h q[3];
ry(-0.24273634073259914) q[3];
cx q[2], q[3];
ry(0.24273634073259914) q[3];
cx q[2], q[3];
ry(1.300380278656536) q[2];
ry(-0.845563361950822) q[3];
h q[4];
cx q[4], q[1];
ry... | null | null | {"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];\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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IIZZ",
"IZIZ",
"ZIZI",
"IIIZ",
"IIZI",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1,
-1
] | 0.972605 | [
-1.0824548785035621,
-0.4854726814651983,
1.0253922282774464,
-0.6950111735231073,
0.549976100758179,
0.49856702161642463,
-0.5677464941140427,
-0.3011043768554298,
0.6740485844110712,
1.8584456786071313,
-0.3550392547384828,
-0.049666130392177224,
0.1283809090165161,
0.14940958954842865,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
60093ea65732b343d8ac63be7dcb7e35 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 2... | {"states": [127, 63], "expectation_value": -11.797865798154653, "params": [[[0.0032, 0.0475], [-0.0021000000000000003, 0.002], [0.007500000000000001, 0.0025], [0.0027, 0.0025], [0.0048000000000000004, 0.0027], [-0.0004, -0.02], [1.5926, -0.0006000000000000001]], [[-0.0716, -1.7352], [-0.0033, -0.0591], [-0.003400000000... | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -2.0 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -2.25 * (Z(2) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + 0.75 * Z(3) + -0... | 15 | 7 | 2 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.12178335334348857) q[0];
ry(-0.007869263321115441) q[1];
ry(0.20801576466635258) q[2];
ry(0.008570263910213836) q[3];
ry(0.34213852368782627) q[4];
ry(0.15534073098527798) q[5];
ry(2.3070424566561436) 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IZIIIIZ",
"ZIIZIII",
"ZIIIIIZ",
"ZZIIIII",
"IZIIIZI",
"IIIZZII",
"IZIIZII",
"IIIIZZI",
"IIZZIII",
"IZZIIII",
"IIZIIZI",
"IIZIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
-0.5,
-0.25,
-1.25,
1,
-0.75,
-2,
-1,
-0.5,
-2.25,
-1,
-2,
-0.75,
-0.25,
0.75,
-0.25,
1,
-1,
1.5,
0.5,
-2.5
] | 0.973536 | [
-0.12178335334348857,
-0.007869263321115441,
0.20801576466635258,
0.008570263910213836,
0.34213852368782627,
0.15534073098527798,
2.3070424566561436,
0.13094827649235985,
-0.012413090717661241,
-0.022855341959053286,
0.0405743205535201,
-0.14347087381773754,
-0.03993434266620357,
0.0933760... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 29 |
aba6fa396d14e467ae0d99dd38e3c99d | 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": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 3, "source": 1, "target": 6... | {"states": [3, 63], "expectation_value": -7.2846909746737545, "params": null, "bitstrings": ["1111100", "1000000"], "total_optimization_steps": 75, "probabilities": [0.0508457179339568, 0.7824085210373644], "optimization_time": 106.61949300765991} | -0.75 * (Z(0) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + 0.0 * Z(3) + -0... | 1 | 7 | 4 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6029463113024511) q[0];
h q[1];
h q[2];
ry(0.7929991718921372) q[2];
h q[3];
ry(0.8794283440467482) q[3];
h q[4];
ry(0.7775597893498037) q[4];
cx q[1], q[4];
ry(-0.7775597893498037) q[4];
cx q[1], q[4];
cx q[4], q[2];
ry(-0.7929991718921372) q[2];
cx q[4],... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIZIIZ",
"IIIZIZI",
"IIZIIZI",
"ZIIZIII",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZZII",
"IIIIZZI",
"IIZIZII",
"ZIIIZII",
"IZIIIZI",
"ZZIIIII",
"IZIIZII",
"IIIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IZIIIII"
] | [
-0.75,
-0.25,
-1.5,
-0.25,
1,
-0.75,
-0.75,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-1.5,
0,
-0.25,
-0.75,
1,
-0.75,
-0.75,
1.5
] | 0.97193 | [
1.5743455116567144,
1.5551195786996075,
1.5859983437842744,
1.5572663646124898,
0.8452599701378314,
1.7588566880934964,
0.9720374565052816,
-1.2058926226049023,
-0.0008241090567600584,
0.3357831707759824,
-0.22263848914659737,
0.09928482409924796,
-0.45654623459993954,
-0.20093592429500787... | {
"n_parameters": 40,
"n_qubits": 7,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 453 |
4455946038764589490 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 3, 4, 5], [0, 2, 3, 4, 7, 8], [4, 5, 6], [0, 8, 1, 7], [0, 3, 5, 7], [1, 4, 6], [0, 8, 3, 6], [8, 2, 5, 6], [0, 1, 5, 6], [0, 2, 3, 6, 7], [0, 2, 3, 5], [2, 3, 4, 5, 7], [8, 1, 3, 6], [8, 1, 6, 7], [8, 4, 5, 7], [0, 1, 2, 6, 7]]} | {"states": [473, 238], "expectation_value": -2.146631265970149, "params": [[0.2807], [-0.2899]], "bitstrings": ["000100110", "100010001"], "total_optimization_steps": 40, "probabilities": [0.006216616995827767, 0.006262749682328541], "optimization_time": 21.89182424545288} | 0.1 * (Z(1) @ Z(2)) + 0.26666666666666666 * (Z(3) @ Z(2)) + 0.13333333333333333 * (Z(3) @ Z(1)) + 0.13333333333333336 * (Z(4) @ Z(2)) + 0.21666666666666667 * (Z(4) @ Z(1)) + 0.13333333333333336 * (Z(4) @ Z(3)) + 0.26666666666666666 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(1)) + 0.26666666666666666 * (Z(5) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.566666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.383333333333333, "smallest_bitstrings": ["100010001"], "largest_eigenvalue": 16.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(8.455742080410655e-05) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(8.071945067773169e-05) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-1.9343192336956614e-05) q[3];
cx q[1], q[3];
h q[4];
cx q[2], q[4];
rz(-1.9343192336956614e-05)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IZIIIIZII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIZIIII",
"IZIZIIIII",
"IZIIIIIIZ",
"... | [
0.1,
0.26666666666666666,
0.13333333333333333,
0.13333333333333336,
0.21666666666666667,
0.13333333333333336,
0.26666666666666666,
0.13333333333333333,
0.26666666666666666,
0.35,
0.21666666666666667,
0.21666666666666667,
0.3333333333333333,
0.03333333333333333,
0.25,
0.1833333333333333... | 0.905588 | [
0.00008455742080410655,
0.00008071945067773169,
-0.000019343192336956614,
0.00010455742855534228,
1.531790014969951,
0.0001050973496338952,
-1.5296385114402637,
1.3755510680202458,
1.122958715056207e-7,
-0.000015766509927137738,
0.00018288304154774504,
0.0001181553535070826,
0.00011123085807... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -3.566666666666666,
"target_ratio": 0.97,
"target_value": -3.459666666666666
} | 459 |
9e7016c164f10697b0206c1127149a76 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1, 3], "expectation_value": -12.192853229097672, "params": [[[0.09430000000000001, -0.21730000000000002], [0.0876, 0.2185], [0.0876, 0.2185], [0.08360000000000001, 0.2242], [0.45790000000000003, 0.0018000000000000002], [0.4562, 0.00030000000000000003]], [[0.094, -0.2174], [0.0931, 0.2189], [0.0955, 0.2179],... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.... | 1 | 6 | 4 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 70.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0017965964091332248) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0017965964091332248) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0017965964091332248) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0017965964091332248) 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[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
-6,
-6,
-6,
-6,
-5.5,
-5.5
] | 0.981987 | [
0.0017965964091332248,
-0.07551128298742306,
1.2634867789247113,
-1.4711869636840829,
1.2568819748851656,
-0.04637896190664645,
-0.0710626490461622,
0.48661910135770714,
0.5319265632727552,
0.3667675496563035
] | {
"n_parameters": 10,
"n_qubits": 6,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 29 |
406f205c8f68e15d44cfdbce281f4c7d | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [10, 13], "expectation_value": -3.253188781498924, "params": null, "bitstrings": ["110101", "110010"], "total_optimization_steps": 27, "probabilities": [0.05945610366321868, 0.8450668453098138], "optimization_time": 23.90060567855835} | 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)) + 0.5 * (Z(2) @ Z(1)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -0.75 * Z(0) + -1.0 * Z(1) + -0.25 * Z(2) + 0.0 * Z(3) + -0.25 * Z(4) + -0.2... | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["110010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.00817263797266711) q[0];
rz(0.5966647633891988) q[0];
rx(-0.00817263797266711) q[1];
rz(0.13566274477300744) q[1];
rx(3.0563566369992974) q[2];
rz(1.526362272167271) q[2];
rx(2.7143491625185714) q[3];
rz(0.6625473815348293) q[3];
rx(-0.235591289998422) q[4];
rz(0.... | null | 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... | [
"IIZZII",
"IZIZII",
"IZZIII",
"IZZZII",
"IIIZZI",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"ZIZIIZ",
"ZZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.75,
-1,
-0.25,
0,
-0.25,
-0.25
] | 0.974338 | [
-0.00817263797266711,
0.5966647633891988,
0.13566274477300744,
3.0563566369992974,
1.526362272167271,
2.7143491625185714,
0.6625473815348293,
-0.235591289998422,
0.5263775625222091,
3.0339991639572848,
0.17723105258234045
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 12 |
ae05ce72b7df15983d820553f894fc63 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 7, "target": 8}]} | {"states": [255, 223], "expectation_value": -0.2426201838714545, "params": [[0.062400000000000004], [-0.0644]], "bitstrings": ["00000000", "00100000"], "total_optimization_steps": 10, "probabilities": [0.004688248061015739, 0.0047639248282284625], "optimization_time": 1.994722843170166} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + -0.5 * Z(2) | 5 | 8 | 1 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["00100000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.24279984391901235) q[0];
h q[1];
cx q[1], q[0];
ry(-0.24279984391901235) q[0];
cx q[1], q[0];
ry(-0.0004400047019670686) q[1];
cx q[0], q[1];
ry(0.0004400047019670686) q[1];
cx q[0], q[1];
ry(-0.23967923788221276) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.145401828... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[4], q[3];
rz(x1) q[3];
cx q[4], q[3];
cx q[4], q... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIIIZII"
] | [
-1,
-1.5,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.973918 | [
-0.2908036565721266,
1.3209232710417103,
-0.002736437045535332,
1.0136834876312257,
0.4855996878380247,
-0.0008800094039341372,
-1.5378684118805621,
0.2774179041563867,
2.132930272990895,
0.5447618955045739,
-0.6844614367496664,
0.10784489451936338,
0.11545183609082532,
0.4135026459357565,... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 69 |
ec119cb03a08873c5ea07db697b243cf | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"sour... | {"states": [76, 332], "expectation_value": -7.032996019214478, "params": [1.6369, 0.0056, 0.0023, 0.0049, 3.1437, 0.0083, -0.0027, 0.0077, 0.002, 0.0032, 3.1395, 0.0051, 3.1395, 0.001, 0.0024000000000000002, 0.0094, -0.0025, 0.0068000000000000005, 0.0059, 0.0001, 0.0048000000000000004, 0.0071, 0.0004, 0.0088, 0.0052000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["010110011"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.2688210364548347) q[0];
rz(0.23574099650367186) q[0];
rx(0.12809725935783373) q[1];
rz(0.16259615599913824) q[1];
rx(3.1183080598804818) q[2];
rz(0.056411171624037415) q[2];
rx(0.008974420986733005) q[3];
rz(-0.00010943306877209125) q[3];
rx(-0.052548673900420305) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIIIIZIIZ",
"IIIIZIIIZ",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZIIIZIIII",
"IIIIIIZZI",
"IIIIZIZII",
"ZIIIIIZII",
"IIIZIIIZI",
"IZIIIIIZI",
"IZIIZIIII",
"IZIIIIZII",
"IZIZIIIII",
"IIZIIZIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"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,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1,
-1.5,
-1.5,
-1.5,
-0.5,
-2,
-0.5
] | 0.971893 | [
2.2688210364548347,
0.26680821824709505,
0.12809725935783373,
0.1228434024387125,
3.1183080598804818,
0.0829752633535745,
0.008974420986733005,
0.11977088005213232,
-0.0525486739004203,
-0.1743733423871424,
3.166782974685173,
0.39131645675802507,
-0.1545012837576554,
0.07344370948815765,
... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 8 |
26d7f56e59bfdf48052023802b40605b | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 3}, {"id": 1}, {"id": 4}, {"id": 2}], "edges": [{"source": 0, "target": 3}, {"source": 3, "target": 1}, {"source": 3, "target": 4}, {"source": 1, "target": 4}, {"source": 4, "target": 2}]} | {"states": [23419, 23411], "expectation_value": -7.075238750544771, "params": [1.6289, 1.5116, 0.48600000000000004, 0.4812, 1.5236, 1.5232, 1.5913000000000002, 1.5882, 0.5719000000000001, 0.5772, 1.5885, 1.5799, 1.5719, 1.5776000000000001, 0.47040000000000004, 0.46640000000000004, 1.2894, 1.2817, 1.1488, 1.1765, 1.5755... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.25 * (Z(3) @ Z(9)) + 0.25 * (Z(4) @ Z(10)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(11)) + 0.5 * (Z(5) @ Z(3)) ... | 13 | 15 | 1 | {"smallest_eigenvalues": [-8.749999999999964], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.749999999999961, "smallest_bitstrings": ["010010010001100"], "largest_eigenvalue": 26.25000000000006} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(1.2499764251158545) q[0];
ry(-3.131892145691064) q[1];
rz(-pi) q[1];
cx q[0], q[1];
ry(-0.044478645155635405) q[1];
cx q[0], q[1];
ry(0.12664230797643383) q[0];
h q[2];
ry(1.5166171737405318) q[2];
ry(-0.03588918412791559) q[3];
rz(-pi) q[3];
ry(-0.0607466333... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"IIIIIZIIIIIZIII",
"IIIIZIIIIIZIIII",
"IIIIIIIIIIZZIII",
"IIIZIIIIIZIIIII",
"IIIIIIIIIZIZIII",
"IIIIIIIIIZZIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.75,
0.75,
0.75,
1.25,
1.25,
1.25,
1,
1,
1,
1.25,
1.25,
1.25,
0.75... | 0.996768 | [
-1.542809730398753,
-1.422554814258884,
1.2499764251158545,
1.5166171737405318,
-0.17498975827594188,
0.08895729031127081,
0.07763652938393162,
0.25328461595286766,
0.0158051754635434,
-0.01985291831550096,
-0.1417123084039368,
-0.06160524380502602,
-0.0461715348705158
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
d553277f50a2caebf7d64bfa2366fbf1 | 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": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4... | {"states": [3, 1], "expectation_value": -0.6552344518849234, "params": [[0.0668], [-0.0722]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.010468199332498831, 0.010666911992414912], "optimization_time": 1.8572783470153809} | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(5)) + 0.5 * Z(3) + -0.25 * Z(0) + -2.25 * Z(4) + 2.0 * Z(1) + -1.5 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-10.0, -10.0, -10.0, -10.0, -10.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -7.0, "smallest_bitstrings": ["1111110", "1111100", "1010100", "1000100", "1011100"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6244170222714969) q[0];
h q[1];
ry(0.7824975594798811) q[1];
h q[2];
ry(-1.2488340445429937) q[2];
h q[3];
ry(0.750036580810066) q[3];
h q[4];
ry(-1.2488340445429937) q[4];
h q[5];
ry(0.7963883987253267) q[5];
h q[6];
cx q[6], q[0];
ry(0.6244170222714969) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"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 |
dddd2c6c503a97ade6b445e6815c4f85 | 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": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3... | {"states": [3, 1], "expectation_value": -3.2134636278675157, "params": [[-0.055200000000000006, -0.083], [0.055900000000000005, 0.07490000000000001]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.015926113592447635, 0.021668930727152588], "optimization_time": 3.1786530017852... | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(1)) + 4.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -4.5 * Z(2) + -0.2... | 1 | 7 | 2 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.3835829982735985) q[0];
h q[1];
ry(-0.23054234387346784) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.6609807137639119) q[3];
h q[4];
ry(-1.6609807137639119) q[4];
h q[5];
h q[6];
ry(1.5858095443127922) q[6];
cx q[6], q[0];
ry(0.3835829982735985) q[0];
cx q[6], 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IIIZIZI",
"IIZIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII"
] | [
-1.5,
-1,
-1,
-0.5,
-1.5,
-1,
-0.5,
-1.25,
-1.5,
-0.5,
-0.75,
4.25,
-0.25,
-4.5,
-0.25,
1,
-0.5,
0,
0.25,
4
] | 0.980551 | [
-1.4098882403195747,
1.5858095443127922,
-0.767165996547197,
-0.5539265111555969,
0.13926851479629185,
-0.11045327377191261,
-0.34994570639390055,
-1.6609807137639119,
-0.0033508676810675153,
-0.2813424644813915,
1.1199313195889984,
1.411419348927798,
-0.0019517279154879635,
0.706605540424... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 23 |
e3b5b65f220c2e22b6113c0ce5b41d18 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [474, 476], "expectation_value": -0.4235774567233045, "params": [[[0.5691, -0.0009000000000000001, 0.0014, 0.0097], [0.8046000000000001, 0.0085, 0.7952, 0.0033], [0.7973, 0.003, 0.7995, 0.0078000000000000005], [0.8035, -0.0004, 0.8095, 0.0015], [0.8003, 0.061200000000000004, 0.7993, 0.0067], [0.7975, 0.63850... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(0) @ Z(7) @ Z(6)) + 0.25 * (Z(1) @ Z(3))... | 11 | 10 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.0, "smallest_bitstrings": ["0011010100", "1001001001", "1000010011", "0101001001", "0100011100", "0010010110", "01000110... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.1033879633206671) q[0];
rz(-0.9629670532463934) q[0];
ry(0.12130667618116564) q[1];
rz(-0.14732188293475723) q[1];
cx q[1], q[0];
ry(0.23820138937740232) q[1];
rz(-0.08912627764861455) q[1];
ry(1.5243593221404945) q[2];
rz(-0.0456941919923618) q[2];
ry(1.64161235... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIZZZIII",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IIZZIIIIIZ",
"IIIIIIZIZI",
"IZIIIIIIZI",
"IZIIIIZIII",
"IZIIIIZIZI",
"IIIZIIIZII",
"IZIIIIIZII",
"IZIZIIIIII",
"IZIZIIIZII"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
0,
0,
0,
0,
-0.25,
0,
0,
0,
-0.25
] | 0.970868 | [
-0.1033879633206671,
-0.9629670532463934,
0.12130667618116564,
-0.14732188293475723,
1.5243593221404945,
-0.0456941919923618,
1.6416123565303,
-0.25777425618806893,
1.8502362601976539,
-0.7218816997342433,
0.11498762200635869,
0.7335962820146844,
1.5124955991481397,
0.05406892335478905,
... | {
"n_parameters": 35,
"n_qubits": 10,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 51 |
e61b9b6cad8366f7e670366fe202a3e7 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 4}, {"weight": 11, "source": 0, "target": 3}, {"weight": 20, "source": 1, "target": 3}, {... | {"states": [95, 122], "expectation_value": -38.68801423989735, "params": null, "bitstrings": ["10100000", "10000101"], "total_optimization_steps": 100, "probabilities": [0.08084364950683393, 0.15591172189812116], "optimization_time": 158.68546056747437} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 17.5 * Z(1) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 153.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-2.1064438042783817) q[0];
h q[1];
ry(3.00933532207482) q[1];
h q[2];
ry(63.914512083600656) q[2];
rz(-pi) q[3];
ry(-2.0138186233070408) q[3];
cx q[2], q[3];
ry(31.631902076085566) q[3];
cx q[2], q[3];
ry(-31.392809348396653) q[3];
cx q[1], q[3];
ry(31.... | null | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(34.778) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17.5,
10,
14,
22,
12.5,
8.5,
12,
1
] | 0.972485 | [
34.330472433163216,
3.00933532207482,
62.27727198687937,
63.914512083600656,
-63.26380415217113,
17.13394339312842,
-62.78561869679331,
6.4092125346744835,
8.995405679010444,
-25.18439210953081,
-12.211734701172722,
-1.494483191794119,
30.42716060399111,
-16.64234087916521,
10.1661517222... | {
"n_parameters": 64,
"n_qubits": 8,
"optimal_eigenvalue": -74.5,
"target_ratio": 0.97,
"target_value": -72.265
} | 67 |
9f43fe75b2280c840369a5d99b502e49 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [14, 42], "expectation_value": -4.496398064640491, "params": null, "bitstrings": ["1110001", "1010101"], "total_optimization_steps": 27, "probabilities": [0.06635227037020759, 0.9303267404393483], "optimization_time": 31.72097897529602} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(5) + -1.0 * Z(4) + -0.5 * Z(1) + -1.5 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1110001", "1010101", "1001101"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.13798124840612863) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.13798124840612863) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.13798124840612863) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.13798124840612863) q[4];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IZIIIIZ",
"IIZIZII",
"IIZIIZI",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"IIZIIII",
"IIIIIZI",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-0.5,
-1,
-0.5,
-1.5
] | 0.833582 | [
0.13798124840612863,
1.1427837653768327,
-1.8894360710812084,
1.440063164765446,
1.845482091247767,
-1.5875174889768033,
3.8510997105473463,
-1.0746530285980647,
2.8299754779374093,
0.45330398543812134
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 298 |
3830386189988487291 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[9, 2, 1], [4, 7], [0, 3, 5, 6, 10], [0, 8], [8, 9, 2], [1, 2, 3, 6, 10], [9, 4], [0, 1, 5, 9], [1, 3, 6, 8, 10], [8, 5, 7], [3, 10, 2, 4], [1, 2, 4, 5, 8, 10], [2, 3, 6, 7, 8, 10], [1, 3, 6, 8, 9], [1, 7], [0, 10, 2], [2, 3, 5, 7, 9, 10]]} | {"states": [946, 954], "expectation_value": -4.588609851990865, "params": [-0.0089, -0.6393, 0.0193, 0.003, 1.5571000000000002, 0.003, 0.9908, -0.0112, 1.5746, 0.0036000000000000003, 1.5752000000000002, 0.009000000000000001, 1.5750000000000002, 0.0029000000000000002, 1.5416, 0.0023, 0.5672, -0.5077, 0.5696, 0.006500000... | 0.36666666666666664 * (Z(10) @ Z(3)) + 0.25 * (Z(1) @ Z(3)) + 0.3 * (Z(1) @ Z(10)) + 0.11666666666666667 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(10)) + 0.03333333333333333 * (Z(5) @ Z(1)) + 0.06666666666666667 * (Z(8) @ Z(3)) + 0.03333333333333333 * (Z(8) @ Z(10)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(5)) + 0.1666666666666... | 8 | 11 | 1 | {"smallest_eigenvalues": [-4.85], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.699999999999999, "smallest_bitstrings": ["10001000101"], "largest_eigenvalue": 15.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.0051579656929390955) q[0];
rz(0.8074372123227582) q[0];
rx(1.3945914413686211) q[1];
rz(-0.06222130717385794) q[1];
cx q[1], q[0];
ry(-0.00047286128183578885) q[0];
cx q[1], q[0];
ry(0.17167516301153837) q[0];
rz(-1.6330176339687545) q[0];
rx(1.1663246085301677) 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": []} | [
"ZIIIIIIZIII",
"IIIIIIIZIZI",
"ZIIIIIIIIZI",
"IIIIIZIZIII",
"ZIIIIZIIIII",
"IIIIIZIIIZI",
"IIZIIIIZIII",
"ZIZIIIIIIII",
"IIZIIIIIIZI",
"IIZIIZIIIII",
"IIIIIIIZIIZ",
"ZIIIIIIIIIZ",
"IIIIIIIIIZZ",
"IIIIIIZZIII",
"ZIIIIIZIIII",
"IIIIIIZIIZI",
"IIIIIZZIIII",
"IIZIIIZIIII",
"IIIIIIZII... | [
0.36666666666666664,
0.25,
0.3,
0.11666666666666667,
0.5,
0.03333333333333333,
0.06666666666666667,
0.03333333333333333,
0.5,
0.5,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.19999999999999998,
0.08333333333333334,
0.15000000000000002,
0.08333333333333333,
0.06... | 0.974144 | [
0.0051579656929390955,
-0.7633591144721383,
1.3945914413686211,
-0.06222130717385794,
1.3306860390807247,
0.11317716063908195,
1.6060296401004852,
-0.04314704788437114,
0.3165315929186205,
-0.44099229553703906,
0.8267353130877916,
0.011399139420086885,
1.3496823438991137,
0.033266184035285... | {
"n_parameters": 52,
"n_qubits": 11,
"optimal_eigenvalue": -4.85,
"target_ratio": 0.97,
"target_value": -4.7044999999999995
} | 15 |
6913e77a092e6b8e92c97148a6d379f5 | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [41, 37], "expectation_value": -3.4965156417765755, "params": null, "bitstrings": ["010110", "011010"], "total_optimization_steps": 20, "probabilities": [0.06700895329611992, 0.9297461640983088], "optimization_time": 14.55021357536316} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -0.5 * Z(3) + 0.0 * 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": ["101010", "011010", "010110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.062346765897915706) q[0];
rz(-0.07861393323966848) q[0];
rx(2.8930871888684693) q[1];
rz(-0.5035763423869778) q[1];
rx(3.065918378176062) q[2];
rz(-0.12390964307312333) q[2];
rx(0.1645274144132281) q[3];
rz(-0.4200180781615156) q[3];
rx(3.3932273417708734) 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[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IZIIZI",
"IZIZII",
"IIZZII",
"IZZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1,
-1.5,
-0.5,
0
] | 0.981137 | [
0.06234676589791571,
0.05049997120834073,
2.8930871888684693,
-0.5035763423869778,
3.065918378176062,
-0.12390964307312333,
0.1645274144132281,
-0.4200180781615156,
3.3932273417708734,
0.5128971855755327,
0.717543276190233,
0.1258080823171311,
0.5432549077788699,
-0.25822780889601854,
0.... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 19 |
7efca02d91f49e4bd32e9ceac2c5c6eb | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 6}, ... | {"states": [33, 37], "expectation_value": -1.5033989852206897, "params": [0.2232, 0.5258, 0.216, 0.006, 0.8684000000000001, 0.32080000000000003, 0.8649, 0.0055000000000000005, 0.6389, 0.5292, 0.5856, 0.0041, 0.24350000000000002, 0.5911000000000001, 0.2281, 0.004, 0.7941, -0.0026000000000000003, 0.7951, 0.0037, 0.207500... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) + -0.5 * Z(6) | 7 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.0, "smallest_bitstrings": ["0101110", "0110101", "1011010", "0101101", "1010011", "1001110", "1110001"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.4594827096862753) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.4594827096862753) q[3];
cx q[0], q[3];
rz(-0.5630635507632684) q[0];
rx(-0.901497698191471) q[0];
h q[4];
cx q[2], q[4];
rz(0.4594827096862753) 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] 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",
"IIIZZII",
"IIZIIIZ",
"IZIIIZI",
"IIZIZII",
"ZIIZIII",
"ZZIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.926719 | [
0.4594827096862753,
-0.5630635507632685,
-0.901497698191471,
1.3353012772704733,
-1.605474020176386,
-0.822650231119289,
-0.30828100973507994,
-0.6582238828432734,
0.6011290317482081
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 264 |
26def67ce5f93d788ddd1b023c589a8e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [82, 100], "expectation_value": -0.1305361451148287, "params": [[-0.059500000000000004], [0.0641]], "bitstrings": ["0101101", "0011011"], "total_optimization_steps": 10, "probabilities": [0.008481630063970015, 0.008481630063970015], "optimization_time": 1.3466999530792236} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(1) + -1.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5, "smallest_bitstrings": ["1110001", "1100101", "1010011", "1111000", "0101101", "0111001", "0011011"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.5198353490920349) q[0];
h q[1];
ry(-0.5373675606482673) q[1];
ry(-0.026080464012186052) q[2];
rz(-pi) q[2];
h q[3];
cx q[3], q[0];
ry(0.5198353490920349) q[0];
cx q[3], q[0];
ry(-0.6429953445516599) q[0];
ry(0.8754484998400236) q[3];
h q[4];
ry(1.483928809... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[6];
rz(x0) q[6];
cx q[3], q[6]... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"ZIIZIII",
"ZIIIIIZ",
"ZIIIIZI",
"ZIIIZII",
"IIIIZZI",
"IZIIIZI",
"IIZIZII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1.5,
-1,
-1,
0,
0
] | 0.992396 | [
-1.5586098848344783,
-1.4769122720150283,
1.4839288099841128,
-1.0747351212965346,
-1.0396706981840698,
0.8036404554279265,
0.5183762627735643,
-0.5010407178657793,
0.32870940514799957,
-0.4274496687052022,
0.7141444741329186,
-0.43109135169291524,
-0.12574049852301072,
0.23483456373399728... | {
"n_parameters": 26,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
2f41e77da60ca3e04be262f089a543cc | 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": [178, 434], "expectation_value": -50.551392205682646, "params": [[[0.5730000000000001, -0.3029], [0.8794000000000001, 0.0189], [1.1975, 0.0012000000000000001], [0.0033, 0.6011000000000001], [1.1951, 0.0016], [1.2028, 0.003], [0.2903, -0.44620000000000004], [0.1511, -0.5272], [1.2086000000000001, -0.000900000... | 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(4) @ Z(0)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(8) @ Z(7)) + 2.0 * Z(0) + -2.0 * Z(1) + -1.0 * ... | 1 | 10 | 2 | {"smallest_eigenvalues": [-69.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.0, "smallest_bitstrings": ["1001001101"], "largest_eigenvalue": 87.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rz(0.0009039656832152687) q[0];
ry(0.03933274951231754) q[0];
rz(-0.259307543352854) q[0];
rz(1.0507642001332353) q[1];
ry(2.616867511102472) q[1];
rz(-2.244381072685055) q[1];
rz(2.6843701760812113) q[2];
ry(3.0066054607684625) q[2];
rz(-0.40018775854351496) q[2];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIIIZIIIZI",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIZIIIIIZI",
"IIZIZIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII"... | [
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,
2,
-2,
-1,
-6,
5,
6,
-2,
-4.5,
-0.5,
-12.5
] | 0.978405 | [
-0.23196875507009437,
-0.16951080124033696,
1.44157271049212,
-0.2658370884210416,
1.778949334596216,
0.1254858301963995,
0.001040833431912875,
1.171579392012978,
1.702204828229828,
0.1279943203385562,
1.4714872690687668,
0.027512224332372805,
0.10187795646027115,
-0.5428809530433245,
-0... | {
"n_parameters": 34,
"n_qubits": 10,
"optimal_eigenvalue": -69,
"target_ratio": 0.97,
"target_value": -66.92999999999999
} | 17 |
abebab5175d0d0d89bf916154d0e1360 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [44, 38], "expectation_value": -4.4999003248204605, "params": null, "bitstrings": ["010011", "011001"], "total_optimization_steps": 28, "probabilities": [1.7187519564590576e-05, 0.9999500716492443], "optimization_time": 18.833052396774292} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(5) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011001"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-3.0276657592090853e-08) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-3.0276657592090853e-08) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[4];
rz(-3.0276657592090853e-08) q[4];
cx q[2], q[4];
rz(1.5707962011... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"ZIIZII",
"ZIIIIZ",
"ZIIIZI",
"ZIZIII",
"IIZIZI",
"IZIZII",
"ZZIIII",
"IZIIZI",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-2,
-1,
-0.5,
-1
] | 0.777778 | [
-3.0276657592090853e-8,
1.5707962011345744,
-1.5707963261737141,
1.5707962746941437,
1.570796338750851
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 149 |
-3921038216201407890 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 4, 5], [0, 1, 6], [0, 2, 6], [0, 3, 4, 5]]} | {"states": [116, 124], "expectation_value": -1.1204696875029436, "params": null, "bitstrings": ["0001011", "0000011"], "total_optimization_steps": 38, "probabilities": [0.09742555084053449, 0.8293692186092568], "optimization_time": 47.29644989967346} | 0.25 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.3333333333333333 * (Z(6) @ Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.1666666666666667, -1.1666666666666667, -1.1666666666666667, -1.1666666666666667], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0833333333333335, "smallest_bitstrings": ["1000000", "0000011", "0000101", "0111000"], "largest_eigenvalue": 3.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.4725199726106217) q[0];
h q[1];
h q[2];
h q[3];
ry(0.39526718023533913) q[3];
ry(-2.176080564873306) q[4];
rz(-pi) q[4];
cx q[0], q[4];
ry(-0.22881193866198943) q[4];
cx q[0], q[4];
h q[5];
ry(-0.11873203798671217) q[5];
cx q[4], q[5];
ry(0.1187320379867121... | 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(1.4977) 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", "... | [
"IIIIZIZ",
"IIZIZII",
"IIZIIIZ",
"IZIIZII",
"IZIIIIZ",
"IZZIIII",
"IIIIIZZ",
"ZIIIZII",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZIIZ",
"IIZZIII",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIZIII"
] | [
0.25,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.29166666666666663,
0.58333333... | 0.970106 | [
1.4725199726106217,
-0.5024635867339626,
0.37647229941642013,
-0.4541412320839594,
0.45762387732397886,
-0.23746407597342434,
0.4939869479578145,
-0.23127547177112834,
0.3231988370046115,
-0.24747147200822528,
0.5655408820232343,
-0.4491478845137812,
0.4031860521632165,
0.36703523081799905... | {
"n_parameters": 38,
"n_qubits": 7,
"optimal_eigenvalue": -1.1666666666666667,
"target_ratio": 0.97,
"target_value": -1.1316666666666666
} | 2 |
b3430a7a5a7846c97441f35820d47c84 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [942, 2990], "expectation_value": -2.9161642474744327, "params": [0.8612000000000001, -0.36660000000000004, 0.40590000000000004, -0.6076, 1.4194, -0.31930000000000003, 1.4989000000000001, 0.0026000000000000003, 1.4748, 0.0055000000000000005, 0.0951, 0.7716000000000001, 1.4949000000000001, 0.38580000000000003... | 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)) + 0.25 * (Z(... | 16 | 12 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -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, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 32, "first_excited_energy": -2.5, "smallest_bitstrings": ["11000100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-1.108879766134531) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
ry(-0.3516677727460137) q[2];
h q[3];
ry(-1.593249089494895) q[3];
h q[4];
ry(-0.3516677727460137) q[4];
cx q[1], q[4];
ry(0.3516677727460137) q[4];
cx q[1], q[4];
ry(1.2846215168941915) q[1];
ry(-0.686288719035... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIIZZZI",
"IIIIIIIIZZZZ",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIIZZZIIII",
"IIIIZIIIIIIZ",
"IIIZIIIIIIIZ",
"IIZIIIIII... | [
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,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.... | 0.975713 | [
-1.593249089494895,
-0.7610973356940154,
-0.7033355454920274,
1.1866022252764412,
-0.43584830422961574,
0.19603858323550014,
0.3391240726814657,
-0.7546312527850684,
-0.5008808296114101,
0.5983615500672997,
1.8625187327051302,
-0.365480050857801,
-0.07502380661129479,
-0.03747054021570255,... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 11 |
ee3d1657115ac7fe63817a76eff6e74f | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 4}, {"weight": 4, "source": 2, "target": 3}, {"weight": 12, "source": 3, "targ... | {"states": [181, 174], "expectation_value": -20.34507536770521, "params": [[-0.034800000000000005, -0.0078000000000000005], [0.0695, 0.0548]], "bitstrings": ["101001010", "101010001"], "total_optimization_steps": 10, "probabilities": [0.006369534357321195, 0.007352382000497457], "optimization_time": 3.4656355381011963} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["101010001"], "largest_eigenvalue": 170.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.011320181029350375) q[0];
cx q[1], q[0];
rz(1.6845218817811496) q[0];
rx(1.643152641776864) q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.011320181029350375) q[2];
cx q[3], q[2];
rz(1.694561325739155) q[2];
rx(1.6431526417768643) q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
12.5,
-3,
15,
-2.5,
15.5,
17,
23.5,
15,
9.5
] | 0.979463 | [
-0.011320181029350375,
-1.538475421558327,
1.684521881781149,
-1.5682318728391689,
1.6945613257391543,
0.9835395433700487,
-1.623624962021536,
-1.7004061833926134,
1.5050717042233193,
1.6431526417768643
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -86,
"target_ratio": 0.97,
"target_value": -83.42
} | 54 |
2e176b1388169c31718c374b42e0c725 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [70, 63], "expectation_value": -3.8557345323839898, "params": null, "bitstrings": ["0111001", "1000000"], "total_optimization_steps": 52, "probabilities": [0.061725432789195255, 0.6825766806121321], "optimization_time": 63.401294469833374} | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + -0.75 * Z(6) + 0.0 * Z(1) + -0.25 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.3830779787968251) q[0];
ry(-0.14730277028732375) q[1];
ry(0.2538099171114016) q[2];
ry(-0.257984861099843) q[3];
ry(-0.3976519478359509) q[4];
ry(-0.08193555877137179) q[5];
ry(2.987372434386749) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx... | 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(1.5486) 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", "... | [
"IZIIIIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IIIIZZI",
"IZIZIII",
"ZIIZIII",
"IIIZZII",
"IZZIIII",
"ZIZIIII",
"IIZIZII",
"IIZZIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-1,
-0.25,
-0.5,
-0.5,
-0.5,
0.25,
-0.25,
-0.75,
0,
-0.25,
0.25,
0.75
] | 0.973055 | [
-0.3830779787968251,
-0.14730277028732375,
0.2538099171114016,
-0.257984861099843,
-0.3976519478359509,
-0.08193555877137179,
2.987372434386749,
-0.2506718433023688,
0.13138656850175684,
0.08791202870362592,
0.05729874253553658,
-0.066058617225672,
-0.008338066771797888,
0.0017510417082033... | {
"n_parameters": 27,
"n_qubits": 7,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 42 |
bd53e0f03f0d19af6cb39bf47cf396d2 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [74, 53], "expectation_value": -1.5381178548683092, "params": [[0.00030000000000000003, -0.11900000000000001, -1.3575000000000002, -0.0037, 0.0014, -0.0012000000000000001, -1.3525], [-1.3379, 0.0054, -1.2346000000000001, 0.001, -1.2953000000000001, 0.0047, -1.336], [1.3433000000000002, 0.0004, 1.3662, 0.0017... | -0.75 * (Z(0) @ Z(5)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(3) @ Z(5)) + -2.5 * Z(5) + -0.25 * Z(0) + -0.75 * Z(6) + 1.5 * Z(1) + -0.25 * Z(4) + 1.25 * Z(2) + 1.0 * Z(3) | 9 | 7 | 3 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["1000010", "1001010"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.7043656534273358) q[0];
h q[1];
ry(1.535989113406412) q[1];
h q[2];
ry(0.7877722373943765) q[2];
h q[3];
h q[4];
ry(0.7877722373943765) q[4];
cx q[1], q[4];
ry(-0.7877722373943765) q[4];
cx q[1], q[4];
cx q[1], q[0];
cx q[4], q[2];
ry(0.7043656534273358) 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": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IIZIIZI",
"IZIIZII",
"ZIIIZII",
"IIZIZII",
"IZIZIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIZIIII",
"IIIIZII",
"IIIZIII"
] | [
-0.75,
1,
-0.5,
-1.5,
-0.75,
-1.25,
-0.75,
-1,
-2.5,
-0.25,
-0.75,
1.5,
-0.25,
1.25,
1
] | 0.998945 | [
-1.629771341725018,
1.535989113406412,
1.575544474788753,
-1.4087313068546716,
-0.1237302936379537,
-0.020395894215535604
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 1 |
36ff2850f9ca4956ff6a75a44d9ad0dc | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [112, 81], "expectation_value": -4.99990032398369, "params": null, "bitstrings": ["0001111", "0101110"], "total_optimization_steps": 30, "probabilities": [1.7187467219391787e-05, 0.9999500713211168], "optimization_time": 23.960949659347534} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(6) + -1.0 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
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];
cz q[10], q[9];
rx(-0.13175179733157877) q[10];
h q[10];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIZIIZ",
"IZIIIZI",
"IZIIIIZ",
"IZIZIII",
"ZIIIIZI",
"IIIZZII",
"IZIIZII",
"IIZZIII",
"ZIZIIII",
"IIZIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
-0.5,
-1,
-1
] | 0.076923 | [
1.5707965843928602,
-6.250215574404665e-8,
0.4800264076414042,
0.30762598108994876,
1.570796582306965,
0.22113488257277297,
-3.013440284091102e-7,
-1.5707961608689993,
-0.12593085181051042,
-0.13175179733157877,
-0.580708177958514,
-0.48002629318198703,
-1.5707960986992084,
-0.843060424767... | {
"n_parameters": 28,
"n_qubits": 11,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 498 |
0dd2d33693d24f15dd49a9f1491a3215 | 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}], "edges": [{"... | {"states": [149, 181], "expectation_value": -54.08195822651673, "params": [[0.06910000000000001, 1.4991, 0.014700000000000001, 0.5782, 1.0566, 0.0758, 1.4982, -0.0028, 1.2628000000000001], [0.559, 1.4987000000000001, 0.8899, 1.5024000000000002, 1.5018, 1.2855, 1.4961, -0.0019, 1.4964000000000002]], "bitstrings": ["1011... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(5)) + 11.5 * Z(1) + 2.0 * Z(0) + 5.0 * Z... | 10 | 9 | 1 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["101001010"], "largest_eigenvalue": 149.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.19967769864586937) q[0];
ry(1.62291935398377) q[1];
ry(0.12229519642256842) q[2];
ry(0.2804429047838009) q[3];
ry(0.5561618225045298) q[4];
ry(-0.04253017401915349) q[5];
ry(1.046728627577029) q[6];
ry(0.15615187888456972) q[7];
ry(1.4793268069257826) q[8];
cz q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZZIIIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
11.5,
2,
5,
17.5,
23.5,
12.5,
15.5,
-3.5,
0.5
] | 0.974722 | [
0.19967769864586937,
1.62291935398377,
0.12229519642256842,
0.2804429047838009,
0.5561618225045298,
-0.04253017401915349,
1.046728627577029,
0.15615187888456972,
1.4793268069257826,
0.20590756219955705,
1.4988055351914424,
-0.306681160159645,
2.9222144658652036,
2.4605419465648573,
0.013... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -77.5,
"target_ratio": 0.97,
"target_value": -75.175
} | 26 |
f3a1e6b2b1212adc99805f9c0a30f517 | 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": 7}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 7}, {"source": 3, "target": 5}, {"source": 3, "ta... | {"states": [164, 166], "expectation_value": -3.923590358856948, "params": [[0.6347, -0.0184, 0.6371, 0.002, -0.0637, 0.7008, 0.46340000000000003, -0.001], [0.6335000000000001, -0.0112, 0.6355000000000001, 0.0017000000000000001, -0.0483, 0.3709, 0.10550000000000001, -0.0039000000000000003], [0.6342, 0.020800000000000003... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * Z(7) + 0.0 * Z(0) + -1.0 * Z(6) + 0.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) + -1.0 * Z(3) + 0.0 * Z(5) | 10 | 8 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.5, "smallest_bitstrings": ["01011001", "00001111", "01110001", "00110011", "00100111", "00011011"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(2.381606808556377) q[0];
rz(1.116079687730588) q[0];
rx(3.085150688043762) q[1];
rz(3.1065547579709314) q[1];
rx(-0.04615157167606888) q[2];
rz(1.1294975976726427) q[2];
rx(2.5049846253689885) q[3];
rz(1.377838217160134) q[3];
rx(0.7361034164232) q[4];
rz(1.333822533... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"ZZIIIIII",
"IZIIIIZI",
"ZIIIIZII",
"ZIIZIIII",
"IIIZIZII",
"ZIIIZIII",
"IZIIZIII",
"IIZIZIII",
"ZIIIIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-1,
0,
-0.5,
-0.5,
-1,
0
] | 0.970794 | [
2.381606808556377,
-0.4547166390643085,
3.085150688043762,
1.5357584311760353,
-0.04615157167606888,
-0.4412987291222552,
2.5049846253689885,
-0.19295810963476295,
0.7361034164232001,
-0.23697379372660185,
3.1498262308868092,
-1.0178499001267651,
0.07183315999231277,
-0.13111404611703892,
... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 28 |
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": [1, 31], "expectation_value": -0.5609594387722322, "params": [[-0.056400000000000006, -0.0407], [0.0634, 0.0543]], "bitstrings": ["111110", "100000"], "total_optimization_steps": 10, "probabilities": [0.021141807039951284, 0.021451458650638466], "optimization_time": 1.9672832489013672} | -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 | 2 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.25, "smallest_bitstrings": ["111110", "101110", "100000"], "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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"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 |
cd165e438e2bf85b31cdf0e37104b9a7 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target":... | {"states": [256, 768], "expectation_value": -8.63064030168927, "params": [0.0012000000000000001, 0.0017000000000000001, 0.1908, 0.1918, 0.2036, 0.19990000000000002, 0.0005, 0.0006000000000000001, 0.0781, 0.1274, 0.0002, 0.0012000000000000001, 0.0056, 0.001, 0.0058000000000000005, 0.0059, 0.0064, -0.0006000000000000001,... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(5)) + 1.25 * (Z(2) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(1) @ Z(7)) + -1.0 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(2)) + -0.5 * (Z(8) @ Z(1)) + -0.25 * (Z(9) @ Z(3)) + -0.5 * (Z(9) @... | 14 | 11 | 4 | {"smallest_eigenvalues": [-9.5, -9.5, -9.5, -9.5, -9.5, -9.5, -9.5, -9.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -8.5, "smallest_bitstrings": ["10000101000", "11010111111", "10010111111", "10000111000", "10000110000", "10011111111", "10000100000", "11011111111"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.15654861148146787) q[0];
rz(pi/2) q[0];
ry(0.29879269662313435) q[1];
ry(0.16195849941667217) q[2];
ry(-0.05727546651778456) q[3];
ry(0.07979692967015395) q[4];
ry(0.1236918284146211) q[5];
ry(0.0874780550979545) q[6];
ry(0.2205997061705416) q[7];
ry(0.0642836548... | 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": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIIIZIIIIZ",
"IIIZIIIZIII",
"IIIZIIIIIIZ",
"IIIZIZIIIII",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIIIIZIIIZI",
"IIIZIIIIIZI",
"IIZIIIIZIII",
"IIZIIIIIZII",
"IIZIIIIIIZI",
"IZIIIIIZIII",
"IZIIIIIIZII",
"IZZIIIIIIII",
"IZIIIIZIIII",
"IIIIZZIIIII",
"IIZIZIIIIII",
"IIIIZIZII... | [
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
1.25,
-0.5,
-0.25,
-0.25,
-1,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
0,
-0.25,
-1,
-0.5,
0.5,
1.5,
-0.5,
-1.25,
1,
-0.25,
0.75
] | 0.971984 | [
-0.15654861148146787,
0.29879269662313435,
0.16195849941667217,
-0.05727546651778456,
0.07979692967015395,
0.1236918284146211,
0.0874780550979545,
0.2205997061705416,
0.06428365489528298,
0.16917108412490392,
-0.07369724002439766,
0.35887099432369435,
-0.02763876064045699,
0.07911852544582... | {
"n_parameters": 151,
"n_qubits": 11,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 10 |
3c01ab65d1a16535fdf3b1017527aaee | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "s... | {"states": [1, 255], "expectation_value": -0.038607485662447455, "params": [[-0.0296], [0.041]], "bitstrings": ["111111110", "100000000"], "total_optimization_steps": 10, "probabilities": [0.002062972598133774, 0.0020632939984030776], "optimization_time": 2.0319390296936035} | -0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + 0.0 * Z(5) + -0.25 * Z(0) + 0.0 * Z(1) + ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["100000000", "111111110", "111101110"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.09647183539808978) q[0];
rz(0.012969763073826357) q[0];
rx(0.13224787220138887) q[1];
rz(-0.2204894045894079) q[1];
rx(0.11762480440877823) q[2];
rz(-0.28305630692413697) q[2];
rx(-0.17770753533360978) q[3];
rz(0.09791137727854604) q[3];
rx(0.014884824492929506) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[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[5], q[0];
rz(x0) q[0];
... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIZIIIIZ",
"IIIZIIIZI",
"IIIZIIZII",
"IIIIIIZZI",
"IIIIIZZII",
"IIZZIIIII",
"IIZIIZIII",
"IIZIZIIII",
"IZIZIIIII",
"IZIIIIZII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIZIIIIII",
"IIIIZIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
-0.25,
-0.5,
-1,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
0.5,
-0.25,
0,
-0.25,
0,
-0.25,
-0.25,
-0.5,
0.5,
0.5,
0.25
] | 0.976815 | [
-0.09647183539808979,
0.05130335289939203,
0.13224787220138884,
-0.2779581639629566,
0.11762480440877826,
-0.18992485692879646,
-0.17770753533360983,
0.09130083512832282,
0.014884824492929508,
0.2343849771601969,
-0.11903788167930729,
-0.11736341591321332,
-0.30761109139788007,
0.067742524... | {
"n_parameters": 164,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 9 |
7e10b313c0e966d78a431e218b1e1e89 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 16, "source": 1, "target": 5}, {"weight": 17, "source": 1, "tar... | {"states": [238, 234], "expectation_value": -11.917099851419378, "params": [[-0.0438], [0.0741]], "bitstrings": ["100010001", "100010101"], "total_optimization_steps": 10, "probabilities": [0.0041005335933630895, 0.004925306220002665], "optimization_time": 2.0763933658599854} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(7)) + 13.0 * Z(1) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-88.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 159.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.9628339992251395) q[0];
rz(0.24643778475032496) q[0];
rx(0.031934521230925945) q[1];
rz(0.6957418773789037) q[1];
rx(0.746952282078199) q[2];
rz(0.19202549982061745) q[2];
rx(-0.03353672724594935) q[3];
rz(-0.30813565141290766) q[3];
rx(0.11895133461832372) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIZII",
"IIIZZIIII",
"IZIZIIIII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
13,
5,
17.5,
17,
2.5,
18.5,
13,
14,
-4
] | 0.971124 | [
0.9628339992251392,
0.321276928460635,
0.031934521230925945,
0.48039896751430633,
0.746952282078199,
0.0959376568954999,
-0.03353672724594936,
-0.35070992475926976,
0.11895133461832372,
-0.4306747619097894,
0.07759593497180284,
0.34292022266484173,
0.8259879532623664,
0.2553982184908408,
... | {
"n_parameters": 80,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 6 |
2df93713dba52fbc8f2926f6b2fd57be | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 3, ... | {"states": [30703, 30719], "expectation_value": -17.863307104544564, "params": [[[1.2152, 0.0123], [-0.2396, 0.0114], [-1.5838, 0.1767], [-0.10940000000000001, 2.9596], [1.5654000000000001, 0.0022], [1.5735000000000001, -0.0022], [-0.0027, -0.0021000000000000003], [1.5731000000000002, 0.1579], [-0.011300000000000001, 0... | 0.375 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(13) @ Z(4)) + 0.5 * (Z(13) @ Z(2)) + 0.5 * (Z(13) @ Z(5)) + 0.5 * (Z(14) @ Z(4)) + 0.5 * (Z(14) @ Z(2)) + 0.5 * (Z(14) @ Z(5)) + 1.0 * (Z(14) @ Z(13)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.... | 15 | 15 | 2 | {"smallest_eigenvalues": [-18.62499999999963], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.374999999999375, "smallest_bitstrings": ["000100000000000"], "largest_eigenvalue": 39.374999999999964} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.2949175491820306) q[0];
ry(-0.5718315361379981) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.014198824758824193) q[2];
h q[3];
ry(0.8153655793536955) q[3];
h q[4];
ry(1.7358025262701822) q[4];
ry(-3.1020867817151703) q[5];
rz(-pi) q[5];
h q[6];
cx q[6], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIZIZII",
"IIIIIIIIIZZIIII",
"IIIIIIIIIZIIZII",
"IZIIIIIIIIZIIII",
"IZIIIIIIIIIIZII",
"IZIIIIIIIZIIIII",
"ZIIIIIIIIIZIIII",
"ZIIIIIIIIIIIZII",
"ZIIIIIIIIZIIIII",
"ZZIIIIIIIIIIIII",
"IIIIIIIIZIZIIII",
"IIIIIIIIZZIIIII",
"IIIIIIIZIIZIIII",
"IIIIIIIZIZIIIII",
"... | [
0.375,
0.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
1,
0.75,
0.75,
4.5,
2.375,
4.5,
2.5,
2.5,
2,
2,
1.5,
1,
1.5,
0.5,
0.5,
-0.125
] | 0.978876 | [
-1.6615171206744725,
1.7358025262701822,
-0.5898350983640612,
1.4494700949935044,
1.630731158707391,
-0.961733679987851,
1.4386247151708065,
0.06190878182737325,
-0.37241896942618374,
0.1853314794989342,
0.12371533057551468,
-0.07230134059792101,
-0.818259384585675,
0.003388180207093014,
... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 12 |
117d5eadcb002c843d1e10097e462227 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [20, 23], "expectation_value": -2.3592798476523704, "params": [[[0.38820000000000005, 0.48090000000000005], [0.5032, 0.41450000000000004], [0.4999, 0.3639], [0.4964, 0.3266], [0.49610000000000004, 0.48050000000000004], [0.47250000000000003, 0.5071]], [[0.5045000000000001, 0.5009], [0.49910000000000004, 0.369... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 15 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110000", "101000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(1.4479777882315188) q[0];
rz(-0.0410635451729493) q[0];
rx(1.6707270756630017) q[1];
rz(-0.5025707057789535) q[1];
rx(0.12191439196254802) q[2];
rz(-0.10535812139801859) q[2];
rx(-0.17080179574029059) q[3];
rz(0.36643007906481095) q[3];
rx(0.12191439196254804) 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": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIIZ",
"ZIIIIZ",
"IZIIIZ",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2,
-0.5,
0,
0,
0
] | 0.975636 | [
1.447977788231519,
-0.13929152858914753,
1.670727075663002,
0.12191439196254804,
0.2784167354321591,
-0.1708017957402906,
0.6155213340906953,
0.34082768408182945,
0.07876221148488821,
-0.5482503076417033,
0.39134103961369215,
-0.49818251005176784,
-0.7675497136603552,
-0.7265583543796119,
... | {
"n_parameters": 27,
"n_qubits": 6,
"optimal_eigenvalue": -3.0625,
"target_ratio": 0.97,
"target_value": -2.970625
} | 11 |
a580428593ca2a54e0f078f27f8703fa | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 2, "source": 1, ... | {"states": [125, 117], "expectation_value": -8.24819846273081, "params": null, "bitstrings": ["10000010", "10001010"], "total_optimization_steps": 45, "probabilities": [0.49910390523101167, 0.49910390523101167], "optimization_time": 46.86227869987488} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(7... | 1 | 8 | 4 | {"smallest_eigenvalues": [-8.25, -8.25, -8.25, -8.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000", "10001010", "10000010", "10011010"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7323893184553074) q[0];
h q[1];
ry(1.6021768552422677) q[1];
h q[2];
ry(0.8045778722749679) q[2];
h q[3];
ry(0.8154121842764465) q[3];
h q[4];
h q[5];
ry(0.8024040181420935) q[5];
cx q[1], q[5];
ry(-0.8024040181420935) q[5];
cx q[1], q[5];
cx q[5], q[3];
r... | 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(-1.5709) 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] = measure q... | [
"IIIIIZIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"IIIIIZZI",
"IIIIZIZI",
"ZIZIIIII",
"IIZIIIZI",
"IIZIZIII",
"IIIZZIII",
"IZIIZIII",
"IZZIIIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII"
] | [
-0.25,
-0.25,
0.5,
-0.25,
-1,
-0.25,
-0.5,
-1.25,
-1,
-1.25,
-0.5,
-1.25,
0.25,
-0.25,
0,
1.25,
0,
1.5,
0.25,
-3
] | 0.993954 | [
-1.6414614992998269,
1.6021768552422677,
1.604808036284187,
1.630824368552893,
1.6091557445499358,
1.4196572032246375,
-1.4647786369106148,
0.09519838854373029,
-0.21010186821471288,
0.22777370581489204,
-0.0839483296551511,
0.24515748303306414,
-0.07700521961837196
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 1 |
cba3c0f3028bedd24c97c562399fe60f | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [5, 7], "expectation_value": -11.042807904841728, "params": [0.0453, 0.3472, 0.0874, 0.36150000000000004, 0.0868, 0.3633, 0.1038, 0.36610000000000004, 0.6452, 0.2026, 0.5298, 0.1395, 0.648, 0.1363, 0.0374, 0.3482, 0.0898, 0.3607, 0.0911, 0.36100000000000004, 0.09480000000000001, 0.3652, 0.6452, 0.184, 0.5319... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.25 ... | 3 | 7 | 4 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-4.011935460582535e-09) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-4.011935460582535e-09) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-4.011935460582535e-09) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-4.011935460582535e-09) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
-3.25,
-3.5,
-3.25,
-3.25,
-2.75,
-3.25,
-2.75
] | 0.740989 | [
-4.011935460582535e-9,
1.3554674035363465e-8,
0.9694266146810376,
1.5707964080681434,
-1.5707962967130897,
1.5707963408013987
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 195 |
4c20f1c198d9974c2e06b7b7ac531193 | 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": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [123, 127], "expectation_value": -7.212035359874228, "params": null, "bitstrings": ["10000100", "10000000"], "total_optimization_steps": 77, "probabilities": [0.4078207215529959, 0.4078207215529959], "optimization_time": 101.87292075157166} | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -1.25 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + 0.75 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(6)) + -0.5 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) + 0.5 * Z(3) + 1.25 ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["10000100", "10000000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.22157641917024928) q[0];
ry(0.00898152646378737) q[1];
ry(0.02472649820771007) q[2];
ry(0.05763287371265249) q[3];
ry(0.0036084805931868484) q[4];
ry(-0.04749337088044957) q[5];
ry(1.0911704212811806) q[6];
ry(0.2493891450036926) q[7];
cx q[7], q[0];
cx q[6], q[7]... | 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",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIIZ",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
-0.25,
-1.25,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
-1.25,
-1,
0.75,
-1.25,
-0.5,
-0.25,
1.5,
0.5,
1.25,
-1,
-1,
-0.5
] | 0.971183 | [
-0.22157641917024928,
0.00898152646378737,
0.02472649820771007,
0.05763287371265249,
0.0036084805931868484,
-0.04749337088044957,
1.0911704212811806,
0.2493891450036926,
-0.9012942735590549,
-0.24745318900433683,
-0.01707069937213386,
-0.08040860354516637,
-0.03283962223876556,
0.089752880... | {
"n_parameters": 58,
"n_qubits": 8,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 51 |
253d3995de007ce15800f0023018551d | 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": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2... | {"states": [1, 13], "expectation_value": -9.431332681900324, "params": null, "bitstrings": ["1111110", "1110010"], "total_optimization_steps": 33, "probabilities": [0.2058374582510394, 0.6353629477863946], "optimization_time": 24.746073246002197} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + 1.75 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.75 * Z(6) + 1.75 * Z(3) + 1.0 * Z(4) + -0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-10.5, -10.5, -10.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110", "1110000", "1110010"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.02121917373057882) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.7085683064572578) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.06024138352319858) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.06024138352319858) q[3];
cx q[1], q[... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIIZ",
"IIIZIZI",
"IIIZZII",
"IIZIIZI",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
-0.5,
-0.25,
-1,
1.75,
-1,
-0.5,
-0.75,
-0.75,
-0.5,
-2,
-0.25,
-1.75,
1.75,
1.75,
1,
-0.5
] | 0.970798 | [
-0.02121917373057882,
0.7085683064572578,
-0.06024138352319858,
-0.717158803780761,
-0.027419781330413187,
0.9534655477484596,
0.681696906877384,
-0.7086536622318328,
1.7659512478861448,
0.02937759427138251,
1.1009043106829477,
-0.25747217679567397,
-1.11426630721713,
0.6485468629559561,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 73 |
-9152816934016542712 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 3, 4, 5, 7, 8, 9], [2, 3, 4, 7, 8, 10], [2, 3, 4, 5, 8, 9, 10], [0, 2, 5, 6, 7, 8, 10], [8, 3, 6], [0, 2, 3, 5, 6, 7, 9, 10], [0, 1, 2, 3, 4, 5, 6, 7, 9], [0, 1, 3, 5, 6, 10], [1, 3, 4, 6, 7, 9, 10], [0, 1, 2, 3, 6, 7, 9, 10], [0, 4, 6, 7, 8, 9, 10], [... | {"states": [799, 927], "expectation_value": -2.798308375679563, "params": [0.3779, 0.004200000000000001, 2.6417, 0.005200000000000001, 3.1387, 0.0076, 1.6277000000000001, 0.0004, 0.44820000000000004, 0.009000000000000001, 0.4464, 0.0017000000000000001, 3.1396, 0.0017000000000000001, 3.1442, 0.0073, 3.1436, 0.0023, 3.13... | 0.1468253968253968 * (Z(0) @ Z(1)) + 0.14007936507936505 * (Z(4) @ Z(1)) + 0.11865079365079365 * (Z(4) @ Z(0)) + 0.10277777777777777 * (Z(5) @ Z(1)) + 0.0873015873015873 * (Z(5) @ Z(0)) + 0.16388888888888886 * (Z(5) @ Z(4)) + 0.12896825396825395 * (Z(6) @ Z(1)) + 0.1884920634920635 * (Z(6) @ Z(0)) + 0.12460317460317458... | 3 | 11 | 1 | {"smallest_eigenvalues": [-3.0261904761904757], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.004761904761904, "smallest_bitstrings": ["10001100000"], "largest_eigenvalue": 15.999999999999991} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.08154038488759771) q[0];
rz(-0.14809420954178654) q[0];
rx(3.001323542626622) q[1];
rz(0.180502914091488) q[1];
rx(-3.019685339656551) q[2];
rz(0.22357552129209335) q[2];
rx(2.33640538797733) q[3];
rz(-0.23827223068341574) q[3];
rx(0.22197913050518386) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIIZZIIII",
"IIIIZIIIIZI",
"IIIIZIIIIIZ",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIIZIIII",
"IIZIIZIIIII",
"IIZIZIIIIII",
"IZIIIIIIIZI",
"IZIIIIIIIIZ",
"IZIIIIZIIII",
"IZIIIZIII... | [
0.1468253968253968,
0.14007936507936505,
0.11865079365079365,
0.10277777777777777,
0.0873015873015873,
0.16388888888888886,
0.12896825396825395,
0.1884920634920635,
0.12460317460317458,
0.0873015873015873,
0.0873015873015873,
0.12896825396825395,
0.1246031746031746,
0.1599206349206349,
0... | 0.973198 | [
0.08154038488759772,
-0.11863480682399168,
3.001323542626622,
0.16920584415338336,
3.263499967523036,
-0.00213061825233634,
2.33640538797733,
-0.14820827012595286,
0.22197913050518386,
0.15672104745529797,
0.43187899689339193,
-0.058918805435589576,
3.145909461975667,
3.2429036082722447,
... | {
"n_parameters": 29,
"n_qubits": 11,
"optimal_eigenvalue": -3.0261904761904757,
"target_ratio": 0.97,
"target_value": -2.935404761904761
} | 8 |
973f7c80d8f22b1f89dc24a0e2b3755b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1322, 1194], "expectation_value": -68.94739579696181, "params": [[-0.002, 0.5022, 0.0013000000000000002, 0.2919, 0.5062, 0.0023, 0.5048, 0.2325, 0.5042, 0.14850000000000002, 0.5037, 0.004200000000000001], [-0.0022, 0.5067, 0.0531, 0.3277, 0.4969, -0.0363, 0.5042, 0.28, 0.5007, 0.24980000000000002, 0.5043, -... | 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(5) @ Z(1)) + 8.0 * (Z(6) @ Z(3)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(8) @ Z(6)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(0) @ Z(8)) + 8.0 * (Z(9) @ Z(4)) + 8.0 * (Z(10) @ Z(4)) + 8.0 * (Z(10) @ Z(9)) + 8.0 * (Z(11) @ Z(10)) + -4.0 * Z(2) + 8.5 * Z(1) + 15.5 * Z(4) + 1.5 * Z(3) ... | 10 | 12 | 3 | {"smallest_eigenvalues": [-152.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -128.0, "smallest_bitstrings": ["101101010101"], "largest_eigenvalue": 150.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.7976101657948776) q[0];
ry(0.9002061457722172) q[1];
ry(-0.02511369966220796) q[2];
ry(0.026768014832496273) q[3];
ry(0.49305174850583205) q[4];
ry(-0.3292861449355379) q[5];
ry(0.4704707945259016) q[6];
ry(0.0505189881250509) q[7];
ry(1.0272024178399093) q[8];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIIZZIII",
"IIIIIIZIIIZI",
"IIIIIZIIZIII",
"IIIIZZIIIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIZIIIIIIIZ",
"IIZIIIIZIIII",
"IZIIIIIZIIII",
"IZZIIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIZII",
"IIIIIIIIIIZI",
"IIIIIIIZIIII",
"IIIIIIIIZIII",
"IIIIIIZIIIII",
"IIIIIZIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
-4,
8.5,
15.5,
1.5,
-4.5,
18,
1.5,
15.5,
-7.5,
2,
13.5,
-6
] | 0.970295 | [
0.7976101657948776,
0.9002061457722172,
-0.02511369966220796,
0.026768014832496273,
0.49305174850583205,
-0.3292861449355379,
0.4704707945259016,
0.0505189881250509,
1.0272024178399093,
-0.023286183377303305,
0.2606469202929407,
0.37259062280181887,
0.01924623732378556,
0.5615413631097531,... | {
"n_parameters": 45,
"n_qubits": 12,
"optimal_eigenvalue": -152,
"target_ratio": 0.97,
"target_value": -147.44
} | 37 |
a1c773c0b570f64d3c3d3a505084c546 | 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": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 3... | {"states": [32, 33], "expectation_value": -11.999999956492717, "params": null, "bitstrings": ["1011111", "1011110"], "total_optimization_steps": 27, "probabilities": [8.327888960773482e-09, 0.9999999914851723], "optimization_time": 17.566446542739868} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(1) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(5) @ Z(3)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(6) + 2.5 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1011110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5874017135860925) q[0];
h q[1];
ry(1.608914631976602) q[1];
h q[2];
ry(-1.5874017135860925) q[2];
h q[3];
ry(-1.5874017135860925) q[3];
h q[4];
ry(-1.5874017135860925) q[4];
ry(-0.05125907922144988) q[5];
rz(-pi) q[5];
h q[6];
ry(0.7820613171932738) q[6];
... | 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[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIZIZ",
"IIZIZII",
"IIZIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"IIZIIZI",
"ZIIIIZI",
"IIIZZII",
"IIZZIII",
"IIIZIZI",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IZIIIII"
] | [
-0.75,
-0.25,
-0.5,
-0.25,
1.5,
-0.25,
-1.25,
-1.5,
-1.75,
-1,
-1,
0.75,
-0.25,
-0.25,
0,
2.5,
-1.75,
-1
] | 0.99923 | [
1.608914631976602,
1.5641226343865475,
-1.5874017135860925,
-1.5438637253244718,
0.04865295550204985
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 1 |
1b146c0365a13411191347bfcee6d38e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 6}, ... | {"states": [104, 40], "expectation_value": -2.46972904428449, "params": [[[0.5089, 0.0413, 0.0079, 0.008400000000000001], [0.5896, -0.0718, 0.4358, -0.038400000000000004], [0.1998, 0.0027, 0.2707, 0.0854], [0.2778, 0.1584, -0.28140000000000004, 0.08270000000000001], [-0.115, 0.0135, -0.10350000000000001, 0.0023], [0.00... | 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(3) @ Z(1)) + 0.125 * (Z(3) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(3) @ Z(1)) + -0.125 * (Z(0) @ Z(3) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3) @ Z(1) @ Z(2)) + 0.5 * (Z(1... | 11 | 7 | 4 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["1010111", "1110011"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(0.01896298951164331) q[0];
ry(1.4671335465655022) q[1];
ry(0.0443902706272271) q[2];
ry(1.651545018621358) q[3];
ry(0.17939320521132673) q[4];
ry(0.01896298951164331) q[5];
ry(0.12476640194723929) q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz 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": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"IIIIZZZ",
"IIIZIZZ",
"IIIZZIZ",
"IIIZZZI",
"IIIZZZZ",
"IIZIIZI",
"IIZZIII",
"IZIZIII",
"ZIIZIII",
"IZZIIII",
"ZIZIIII",
"ZZIIIII",
"IZZZIII",
"ZIZZIII",
"ZZIZIII",
"ZZZIIII",
"ZZZZIII",
"IIIIIIZ",
"III... | [
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,
-0.625,
-0.125,
-0.625,
0.25,
-0.125,
-0.625,
-0.625
] | 0.970543 | [
0.01896298951164331,
1.4671335465655022,
0.0443902706272271,
1.651545018621358,
0.17939320521132673,
0.12476640194723929,
1.6764095617710113,
1.1673098756081428,
0.4517425252645204,
-0.1261575337349709,
-0.24637722337136964
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 12 |
cf6781246fc66f87fa6a567e8619e23b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [17, 1], "expectation_value": -0.6402422688585667, "params": [[-0.060700000000000004, -0.0776], [0.0718, 0.0742]], "bitstrings": ["1101110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.013477780376193295, 0.013668504003574737], "optimization_time": 4.898226976394653} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(5)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(4)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + 0.25 * Z(1) + -0.25 * Z(0) + -1.25 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.75, -6.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.75, "smallest_bitstrings": ["1101110", "1111110"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.33675991249539916) q[0];
h q[1];
ry(-0.8515395949228223) q[1];
h q[2];
h q[3];
ry(-1.5428256682959467) q[3];
rz(-pi) q[4];
ry(-0.10231168646078781) q[4];
ry(-0.054796923753035846) q[5];
rz(-pi) q[5];
h q[6];
cx q[6], q[0];
ry(0.33675991249539916) 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": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IZIIIZI",
"IZIIIIZ",
"IIZIIZI",
"IZZIIII",
"IZIIZII",
"IIZIZII",
"ZIIIIIZ",
"ZIZIIII",
"ZIIIZII",
"IZIZIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIZIIII",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
-0.75,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
1.25,
-0.25,
-0.25,
-1,
-0.25,
0.25,
-0.25,
-1.25,
0.5,
0.25,
0.75,
-0.25
] | 0.978102 | [
-1.5428256682959467,
-0.6735198249907983,
1.5130573834326533,
-0.9935783652960206,
-1.7030791898456445,
-1.6641177806211036,
0.02746594902502659,
-0.2747638951084399,
0.6952452953339312,
-0.36325278036379793,
-0.35971473705457196,
0.17518969526177117,
-0.197380008249672,
-0.085975751722793... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 13 |
16527d193f875954393100e94a8bb60f | 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": [2755, 2754], "expectation_value": -108.95841703108084, "params": [0.9022, 0.0039000000000000003, 0.0045000000000000005, 0.5214, 0.896, 0.031, 0.4072, 0.3549, 0.8982, 0.021500000000000002, 0.8981, 0.015300000000000001, 0.2713, 0.5046, 0.003, -0.5365, -0.0023, 0.5969, -0.0032, -0.44680000000000003, 0.8977, -0... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(0)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(6) @ Z(4)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(9) @ Z(4)) + 7.5 * (Z(11) @ Z(0)) + 7.5 * (Z(11) @ Z(2)) + 7.5 * (Z(10) @ Z(11)) + 7.5 * (Z(7) @ Z(10)) + -3.0 * Z(1) + 15.0 * Z(0) + 16.0 * Z(2) + 4.5 * Z(3... | 16 | 12 | 3 | {"smallest_eigenvalues": [-137.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -116.5, "smallest_bitstrings": ["010100111101"], "largest_eigenvalue": 171.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.3256085062362055) q[0];
rz(0.06274355419177624) q[0];
rx(-0.08283390258218837) q[1];
rz(0.48752747549370135) q[1];
cx q[1], q[0];
rz(-0.12930380903923558) q[0];
cx q[1], q[0];
rx(0.7990554095500565) q[0];
rz(0.08121885477229185) q[0];
rz(0.009726459936622375) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZZII",
"IIIIIZIZIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZZIIIII",
"IIZIIIIZIIII",
"ZIIIIIIIIIIZ",
"ZIIIIIIIIZII",
"ZZIIIIIIIIII",
"IZIIZIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIIZIII",
"IIIIIIIZIIII",
"IIIIIZIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
-3,
15,
16,
4.5,
17,
1.5,
13.5,
-3,
8,
7,
-6,
-11
] | 0.974337 | [
1.3256085062362053,
-0.06656025484745917,
-0.08283390258218837,
0.48752747549370135,
0.8305431638212697,
-0.04958395203950752,
-0.14350480392775533,
0.49323562477842586,
0.995320666209404,
0.2856066926923435,
1.0301696312704647,
0.04138789405308056,
-0.04076146303464003,
0.8021866853446489... | {
"n_parameters": 98,
"n_qubits": 12,
"optimal_eigenvalue": -137.5,
"target_ratio": 0.97,
"target_value": -133.375
} | 11 |
a6ea63ce7afda0458cb5e7d5c63027a7 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 1, "target": 6... | {"states": [127, 63], "expectation_value": -1.4046417564585765, "params": [[0.07830000000000001, 0.07540000000000001], [-0.082, -0.0726]], "bitstrings": ["0000000", "1000000"], "total_optimization_steps": 10, "probabilities": [0.01565827446149226, 0.0174841924832045], "optimization_time": 3.3740110397338867} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(6)) + 1.25 * Z(2) + ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.0017376199511947208) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0017376199511947208) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.20288321499629142) q[4];
cx q[1], q[4];
h q[5];
cx q[2], q[5];
rz(-0.14254887280689... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIIZZI",
"IIZIIZI",
"IZIIZII",
"IZIIIZI",
"IZZIIII",
"ZIIIIIZ",
"ZIIIIZI",
"ZIZIIII",
"ZZIIIII",
"IIIZZII",
"IZIZIII",
"ZIIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIZIII"
] | [
-0.25,
-0.25,
-0.5,
-0.75,
-0.25,
-0.75,
0.5,
-0.25,
-1,
-1,
-0.5,
-1.75,
-0.25,
1.25,
-0.25,
0.75,
1.25,
-0.5,
-2,
-0.5
] | 0.716399 | [
-0.0017376199511947208,
-0.20288321499629142,
-0.14254887280689885,
0.26610324065355456,
-0.055925380870436796,
-1.4523531504272442,
1.389482031566515,
1.5293789649009613,
-1.4359026134477408,
-1.0918522412024452
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 243 |
2353079fa286d356ce3844ef645b5899 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 1, "source": 2, ... | {"states": [0, 1], "expectation_value": -6.269991591360465, "params": [0.0064, -0.1436, 0.0004, 0.28650000000000003, -0.0031000000000000003, 0.2898, 0.0014, 0.31420000000000003, 0.0007, 0.3143, 0.0012000000000000001, 0.3098, 0.0016, 0.2889, 0.4055, 0.0008, 0.0001, -0.2263, 0.0064, 0.3221, -0.0015, 0.2978, 0.0033, 0.313... | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(2)) + 0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(... | 4 | 8 | 4 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000000", "11111110", "10001000"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.014476605054925226) q[0];
ry(-0.08302690308798039) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5021299714943626) q[2];
ry(-0.20507589807993404) q[3];
rz(-pi) q[3];
ry(-0.0064225517544533916) q[4];
rz(-pi) q[4];
ry(-0.007758952866561823) q[5];
rz(-pi) q[5];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIIIIZZI",
"ZIIIIIIZ",
"ZIIIIIZI",
"IZIZIIII",
"IZIIIZII",
"IZIIIIZI",
"ZZIIIIII",
"IIIZZIII",
"IIIIZZII",
"IIIIZIZI",
"IZIIZIII",
"IIZZIIII",
"IIZIIZII",
"IZZIIIII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"ZIIIIIII",
"IZIIIIII",
"IIIIZIII",
"IIZIIII... | [
-0.5,
-0.5,
0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
-0.5,
-1,
-0.25,
-1.5,
-0.25,
0.25,
0.5,
1,
1.25
] | 0.996058 | [
-1.5021299714943626,
-1.527893052920365,
-1.541794211553103,
1.640141240938177,
-1.440851768577839,
-1.2949408354430672,
-1.5107160653792404,
-0.09383531025815497,
-0.1415591865437907,
-0.24437121070099205,
-0.08695744059343821,
-0.07296144424015699,
-0.059381324036815154
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 1 |
3a96def0087bb3e839e31265faaf073e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target":... | {"states": [2047, 1023], "expectation_value": -7.522934811939143, "params": [[[-0.0041, 0.0009000000000000001], [0.0001, 0.5436], [-0.0023, -0.0029000000000000002], [-0.003, -0.0026000000000000003], [-0.0031000000000000003, -0.0029000000000000002], [-0.0028, -0.0026000000000000003], [-0.0026000000000000003, -0.0025], [... | -0.25 * (Z(0) @ Z(8)) + -0.5 * (Z(1) @ Z(5)) + -0.25 * (Z(6) @ Z(8)) + -0.5 * (Z(6) @ Z(1)) + -0.75 * (Z(10) @ Z(8)) + -0.5 * (Z(10) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(10)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(10)) + -0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 15 | 11 | 2 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.2914143379545892) q[0];
ry(0.019018688334968274) q[1];
ry(0.0009112809639463294) q[2];
ry(0.025636931019475312) q[3];
ry(0.009265349886640422) q[4];
ry(-0.01945340878504003) q[5];
ry(0.06704389347333063) q[6];
ry(0.006567284239184323) q[7];
ry(-0.01945340878504003... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIZ",
"IIIIIZIIIZI",
"IIZIZIIIIII",
"IIIIZIIIIZI",
"ZIZIIIIIIII",
"ZIIIIIIIIZI",
"IIIIIIIIZIZ",
"IIIIIZIIZII",
"IIIIIIIIZZI",
"ZIIIIIIIZII",
"IIIIZIIZIII",
"ZIIIIIIZIII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"ZIIIIIZIIII",
"IIZZIIIIIII",
"IIIZIIIIIZI",
"IZIIIIIIIZI",
"IZIIIIIIZ... | [
-0.25,
-0.5,
-0.25,
-0.5,
-0.75,
-0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
1.5,
-0.5,
0,
-1.5,
0,
0.75,
0,
0.75
] | 0.972253 | [
0.2914143379545892,
0.019018688334968274,
0.0009112809639463294,
0.025636931019475312,
0.009265349886640422,
-0.01945340878504003,
0.06704389347333063,
0.006567284239184323,
-2.275920299250488,
-0.376979350318399,
-2.362254319516095,
0.30445746659906897,
0.0002758444082375418,
0.0138823902... | {
"n_parameters": 37,
"n_qubits": 11,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 165 |
6c28370939b7d49c2e67d552301e0191 | 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": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target... | {"states": [43605, 21930], "expectation_value": -0.013700105437593885, "params": [[-0.0512], [0.06770000000000001]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 10, "probabilities": [1.6125311330728988e-05, 1.612531133072899e-05], "optimization_time": 14.496734857559204} | 0.25 * (Z(0) @ Z(1)) + 0.00015432098765432098 * (Z(2) @ Z(0)) + 0.00015432098765432098 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00015432098765432098 * (Z(4) @ Z(0)) + -0.0010802469135802468 * (Z(4) @ Z(2)) + 0.00015432098765432098 * (Z(5) @ Z(1)) + -0.0010802469135802468 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.022993827160445], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0229938271604406, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.0177469135802197} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.18259604204203672) q[0];
rz(0.08060485615533963) q[0];
rx(0.6891006369177235) q[1];
rz(0.00017102855127421046) q[1];
rx(0.7562714054488282) q[2];
rz(-0.3404311286624009) q[2];
rx(0.6891006369177235) q[3];
rz(0.02128917638359139) q[3];
rx(0.06667048808959333) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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,
0.00015432098765432098,
0.00015432098765432098,
0.25,
0.00015432098765432098,
-0.0010802469135802468,
0.00015432098765432098,
-0.0010802469135802468,
0.25,
-0.0010802469135802468,
-0.0007716049382716049,
-0.0007716049382716049,
-0.0010802469135802468,
-0.0007716049382716049,
-0.000... | 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 |
3d599008e6d247101eb02503201a8a05 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [108, 76], "expectation_value": -7.859599500187031, "params": [-0.0028, 0.006200000000000001, -0.0023, 0.003, -0.0028, 0.0027, -0.0025, 0.0081, -0.0025, 0.0039000000000000003, 2.6656, 0.0034000000000000002, 1.5065000000000002, 0.0037, -0.0034000000000000002, 0.0014, 2.1402, 0.0047, 2.7039, 0.0052000000000000... | 0.5 * (Z(5) @ Z(9)) + 2.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(5)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(10)) + -0.5 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(10)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -2.0 * (Z(3) @ Z(10)) + -0.5 * (Z(3) @ Z(6)) +... | 18 | 12 | 1 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 37, "first_excited_energy": -8.5, "sm... | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08055982018340721) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.08055982018340721) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(0.5225355503098899) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0805598201834072... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": 4} | {"circuits": [], "gradients": []} | [
"IIZIIIZIIIII",
"IZZIIIIIIIII",
"IZIIIIZIIIII",
"IIZIIZIIIIII",
"IIIIIZZIIIII",
"IZIIIZIIIIII",
"IIZIIIIIIZII",
"IIIIIIZIIZII",
"IZIIIIIIIZII",
"IIIIIZIIIZII",
"IIZIIIIIZIII",
"IIIIIIZIZIII",
"IZIIIIIIZIII",
"IIIIIZIIZIII",
"IIIIIIIIZZII",
"IIZIIIIZIIII",
"IIIIIIZZIIII",
"IZIIIIIZI... | [
0.5,
2,
1,
0.5,
1,
1,
-0.5,
-1,
-1,
-1,
-1,
-0.5,
-2,
-0.5,
0.5,
-1,
-0.5,
-2,
-0.5,
0.5,
1,
-0.5,
-0.5,
0.5,
-0.5,
0.5,
-1,
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,
-0.5,
-0.5,
1.5,
2,
3,
2,
-2,
... | 0.869132 | [
0.08055982018340721,
-0.35470681563137524,
0.5225355503098899,
1.1234973761473965,
1.3097500534732263,
0.06301837355841679,
0.0172289539833638,
1.175101985651543,
-0.050600734974519,
-0.913335335482333,
1.0536620339595795,
1.7102271339985182,
2.127471121365935,
-0.06929635052414747,
1.03... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 500 |
6913e77a092e6b8e92c97148a6d379f5 | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [41, 37], "expectation_value": -3.4965156417765755, "params": null, "bitstrings": ["010110", "011010"], "total_optimization_steps": 20, "probabilities": [0.06700895329611992, 0.9297461640983088], "optimization_time": 15.247506618499756} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -0.5 * Z(3) + 0.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["101010", "011010", "010110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.062346765897915706) q[0];
rz(-0.07861393323966848) q[0];
rx(2.8930871888684693) q[1];
rz(-0.5035763423869778) q[1];
rx(3.065918378176062) q[2];
rz(-0.12390964307312333) q[2];
rx(0.1645274144132281) q[3];
rz(-0.4200180781615156) q[3];
rx(3.3932273417708734) 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[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IZIIZI",
"IZIZII",
"IIZZII",
"IZZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1,
-1.5,
-0.5,
0
] | 0.981137 | [
0.06234676589791571,
0.05049997120834073,
2.8930871888684693,
-0.5035763423869778,
3.065918378176062,
-0.12390964307312333,
0.1645274144132281,
-0.4200180781615156,
3.3932273417708734,
0.5128971855755327,
0.717543276190233,
0.1258080823171311,
0.5432549077788699,
-0.25822780889601854,
0.... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 19 |
2a9ab16bb8bcea71e9f34a77597a5638 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 14, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 3}, {... | {"states": [120, 122], "expectation_value": -10.971525556646148, "params": null, "bitstrings": ["10000111", "10000101"], "total_optimization_steps": 100, "probabilities": [0.06949627212393182, 0.07974546248591978], "optimization_time": 174.47717952728271} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 163.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.21069830025586003) q[0];
rz(-0.44314380018304966) q[0];
rx(0.6758685682189609) q[1];
rz(-0.07231239329845751) q[1];
rx(0.5304567662709817) q[2];
rz(0.0524343513804677) q[2];
rx(-0.2764618131261993) q[3];
rz(0.21560061027038913) q[3];
rx(0.6842987872754291) q[4];
r... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(18.1327) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
21,
11.5,
7,
19.5,
17.5,
7,
19.5,
0.5
] | 0.970268 | [
-0.21069830025586003,
-0.2661478952017108,
0.6758685682189609,
-0.11332069058319576,
0.5304567662709817,
0.04323630987877809,
-0.27646181312619933,
0.1941591628277346,
0.684298787275429,
-0.08672849227055314,
0.5560224463447703,
0.3101181280349571,
0.13765148430319257,
0.27958925789989647,... | {
"n_parameters": 69,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 9 |
9ac96037cdc1ad997cf71b68bb905d0e | 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": [1844, 1332], "expectation_value": -126.42846704994972, "params": [0.0025, 0.9284, 1.4005, -0.1693, 0.7714000000000001, -0.3667, 1.3909, -0.2369, 0.4363, -0.443, 0.326, 0.6263000000000001, 1.4051, 0.0014, 1.3975, 0.267, 0.26880000000000004, 0.6677000000000001, 1.3983, -0.0008, 0.0032, -0.8714000000000001, 0.... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(5) @ Z(7)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(9) @ Z(3)) + 7.5 * (Z(9) @ Z(4)) + 7.5 * (Z(8) @ Z(1)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(10) @ Z(6)) + 12.0 * Z(2) + 15.0 * Z(1) + 23.0 ... | 18 | 12 | 2 | {"smallest_eigenvalues": [-148.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -127.0, "smallest_bitstrings": ["101011001011"], "largest_eigenvalue": 217.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.057396603197144576) q[0];
rz(0.2613974783565176) q[0];
rx(1.4980973011174072) q[1];
rz(-0.30045924704779853) q[1];
rx(0.1926409834590871) q[2];
rz(-0.56315870746345) q[2];
rx(1.5791599507580305) q[3];
rz(-0.24238444797291236) q[3];
rx(0.04340963946023093) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIIIZZII",
"IIIIIIIIZIZI",
"IIIIIIIZZIII",
"IIIIZIIIIZII",
"IIIIZZIIIIII",
"IIIIZIZIIIII",
"IIIIIZZIIIII",
"IIZIIIIIZIII",
"IIZIIIIZIIII",
"IIIZIIIIIIZI",
"IIZZIIIIIIII",
"IZIIIZIIIIII",
"IIIIIIIIIZII",
"IIIIIIIIIIZI",
"IIIIIIIIZIII",
"IIIIIIIZIIII",
"IIIIZIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
12,
15,
23,
3.5,
14.5,
13,
1.5,
14.5,
1,
-6,
-14,
-13.5
] | 0.974935 | [
-0.05739660319714456,
0.7979943055743796,
1.4980973011174072,
-0.30045924704779853,
0.1926409834590871,
-0.56315870746345,
1.5791599507580305,
-0.24238444797291236,
0.04340963946023093,
-0.507959956378195,
0.1273078052908707,
0.5996934068752411,
1.6701349946002841,
0.06463076017611519,
1... | {
"n_parameters": 67,
"n_qubits": 12,
"optimal_eigenvalue": -148,
"target_ratio": 0.97,
"target_value": -143.56
} | 10 |
ace86aad427da3b1897bdadcaea2af97 | 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": [378, 362], "expectation_value": -82.45605034538085, "params": [0.0582, 0.034300000000000004, 0.49910000000000004, 0.4989, 0.21330000000000002, 0.2151, 0.4913, 0.4923, 0.4828, 0.47990000000000005, 0.265, 0.2642, 0.4914, 0.4978, 0.12440000000000001, 0.1525, 0.5013000000000001, 0.4943, 0.0165, 0.0234, 0.015300... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(9) @ Z(8)) + 14.5 * Z(1) + -2.5 * Z(0) + 7.5 * Z(2) + 16.0 * Z(3) + 16.5 * Z(4) + 10.0 * Z(... | 14 | 10 | 3 | {"smallest_eigenvalues": [-101.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -88.5, "smallest_bitstrings": ["1010010101"], "largest_eigenvalue": 146.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.12187719488606956) q[0];
rz(pi/2) q[0];
ry(0.5847703871521095) q[1];
ry(0.05042762889325916) q[2];
ry(0.4846706343921576) q[3];
ry(0.5098001063055707) q[4];
ry(0.1589240185296699) q[5];
ry(0.5621034599223209) q[6];
ry(-0.0029469034235561353) q[7];
ry(0.28208528607... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIZZII",
"IIIIIZIIZI",
"IIIIIZIZII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IZIIIIIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
14.5,
-2.5,
7.5,
16,
16.5,
10,
15,
-2.5,
3.5,
-3
] | 0.971714 | [
0.12187719488606956,
0.5847703871521095,
0.05042762889325916,
0.4846706343921576,
0.5098001063055707,
0.1589240185296699,
0.5621034599223209,
-0.0029469034235561353,
0.2820852860709951,
0.032320618182767456,
0.258721223131883,
-0.053148964568359214,
0.137619631387607,
-0.3165660592229597,
... | {
"n_parameters": 116,
"n_qubits": 10,
"optimal_eigenvalue": -101.5,
"target_ratio": 0.97,
"target_value": -98.455
} | 11 |
ae38f088eb7d13f4a1aaeed7b82ca76a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5... | {"states": [126, 1], "expectation_value": -3.188562102382931, "params": [[0.0775, 0.0795], [-0.08320000000000001, -0.0843]], "bitstrings": ["0000001", "1111110"], "total_optimization_steps": 10, "probabilities": [0.02486927622584619, 0.03238045811265498], "optimization_time": 5.4203455448150635} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(3)) + -1.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(4)) + -1.25 * (Z(1) @ Z(2)) + -1.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.25 * (Z(6) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-16.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.006377179496119643) q[0];
rz(-0.061727897011168764) q[0];
rx(0.07989972346595989) q[1];
rz(0.6688407505745477) q[1];
rx(-0.16796998349578554) q[2];
rz(-0.07201860300141405) q[2];
rx(-0.1915935582937144) q[3];
rz(-0.5729443126343039) q[3];
rx(-0.007459390818392585)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIIZ",
"IZIZIII",
"IZZIIII",
"IIIIZZI",
"IIIZIZI",
"IIZIIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII"
] | [
-0.25,
-0.5,
-0.5,
-0.75,
-1,
-1.25,
-1.75,
-0.5,
-0.5,
-1.75,
-1.25,
-1.75,
-0.5,
-0.25,
2.5,
-0.75,
1.25,
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
1.5
] | 0.974333 | [
-0.006377179496119642,
0.1957621554646426,
0.07989972346595989,
0.4359881860868983,
-0.1679699834957855,
-0.38497263604562815,
-0.19159355829371438,
-0.39383051225245713,
-0.007459390818392586,
0.49935880698787366,
0.050047209993752936,
0.22941381389651128,
0.9696121434380058,
0.0608901470... | {
"n_parameters": 55,
"n_qubits": 7,
"optimal_eigenvalue": -16.75,
"target_ratio": 0.97,
"target_value": -16.2475
} | 5 |
dd78e2c63061a9237ba15cf769625f06 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [99, 107], "expectation_value": -3.3233471076961663, "params": [0.062, 0.1258, 0.39890000000000003, -0.0001, 0.40800000000000003, -0.002, 0.2621, 0.0017000000000000001, 0.4091, 0.0011, 0.09240000000000001, -0.1308, 0.40290000000000004, -0.0006000000000000001, 0.3996, 0.0022, 0.060000000000000005, 0.0942, 0.4... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(4) + -1.5 * Z(5) + 0.0 * Z(7) + -0.5 * Z(3) + 0.0 * Z(2) + 0.0 * Z(6) | 4 | 8 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["10010100"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.2919191092681821) q[0];
rz(1.5775231410081103) q[0];
rx(0.3197557944596619) q[1];
rz(1.4572813344852182) q[1];
rx(0.6448701231779235) q[2];
rz(1.405383116486723) q[2];
rx(0.15367618756220616) q[3];
rz(1.9411833643118523) q[3];
rx(0.7907221519146744) q[4];
rz(1.8529... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIZZIII",
"IIZIIZII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIZIII",
"IIIIIZII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-0.5,
-1.5,
0,
-0.5,
0,
0
] | 0.970124 | [
0.291919109268182,
0.00672681421321384,
0.3197557944596619,
-0.11351499230967774,
0.6448701231779235,
-0.16541321030817321,
0.1536761875622062,
0.37038703751695534,
0.7907221519146745,
0.2821926879564761,
-0.2113176900072502,
-0.4289344068954749,
0.8339240040907061,
-0.3183110469602341,
... | {
"n_parameters": 90,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 31 |
8115122104674717384 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[3, 5, 6, 7, 8], [0, 8, 4], [0, 3, 4, 7, 10], [10, 2], [4, 5, 6, 7], [2, 4, 6, 7], [1, 3, 7, 9, 11], [3, 4, 5, 6, 10], [0, 1, 6, 7, 8], [8, 9, 3, 4], [0, 2, 6, 9, 11], [1, 5, 6, 7, 11], [8, 9, 4, 1], [0, 3, 7, 8, 9], [0, 11, 5], [1, 10, 5], [2, 3, 5, 7, 8... | {"states": [3316, 3317], "expectation_value": -4.720327625670175, "params": [[[3.1252, 0.0031000000000000003], [3.14, 0.0059], [0.5259, 0.0036000000000000003], [0.8984000000000001, 0.0007], [2.3162000000000003, 0.0077], [3.1455, 0.0051], [3.1387, 0.0016], [3.1384000000000003, 0.007], [0.9899, 0.0077], [3.14010000000000... | 0.31666666666666665 * (Z(5) @ Z(7)) + 0.31666666666666665 * (Z(8) @ Z(7)) + 0.15000000000000002 * (Z(8) @ Z(5)) + 0.23333333333333334 * (Z(9) @ Z(7)) + 0.3 * (Z(9) @ Z(5)) + 0.36666666666666664 * (Z(9) @ Z(8)) + 0.1 * (Z(10) @ Z(7)) + 0.2833333333333333 * (Z(10) @ Z(5)) + 0.31666666666666665 * (Z(10) @ Z(8)) + 0.3 * (Z... | 1 | 12 | 1 | {"smallest_eigenvalues": [-5.616666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.500000000000001, "smallest_bitstrings": ["001100001010"], "largest_eigenvalue": 23.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(2.9224761267622705) q[0];
rz(-0.03065469455991897) q[0];
rx(3.096167423310965) q[1];
rz(0.5805170382299117) q[1];
rx(0.03388499394097312) q[2];
rz(0.05215065532902971) q[2];
rx(0.21338758881424652) q[3];
rz(0.4625830596667528) q[3];
rx(2.925834826293975) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZIIIII",
"IIIZZIIIIIII",
"IIIZIIZIIIII",
"IIZIZIIIIIII",
"IIZIIIZIIIII",
"IIZZIIIIIIII",
"IZIIZIIIIIII",
"IZIIIIZIIIII",
"IZIZIIIIIIII",
"IZZIIIIIIIII",
"IIIIZIIIIIIZ",
"IIIIIIZIIIIZ",
"IIIZIIIIIIIZ",
"IIZIIIIIIIIZ",
"IZIIIIIIIIIZ",
"IIIIZZIIIIII",
"IIIIIZZIIIII",
"IIIZIZIII... | [
0.31666666666666665,
0.31666666666666665,
0.15000000000000002,
0.23333333333333334,
0.3,
0.36666666666666664,
0.1,
0.2833333333333333,
0.31666666666666665,
0.3,
0.25,
0.15000000000000002,
0.23333333333333334,
0.2,
0.31666666666666665,
0.13333333333333333,
0.18333333333333335,
0.383... | 0.972743 | [
2.9224761267622705,
-0.03065469455991897,
3.096167423310965,
0.5805170382299117,
0.03388499394097312,
0.05215065532902971,
0.21338758881424652,
0.4625830596667528,
2.925834826293975,
0.4878037342430885,
3.0526089762933513,
0.22285594284650567,
3.187935950792627,
0.3268851955685151,
3.167... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -5.616666666666668,
"target_ratio": 0.97,
"target_value": -5.448166666666668
} | 9 |
a2b703670d19247f6071de624d813f7d | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [42, 74], "expectation_value": -4.9965155484111605, "params": null, "bitstrings": ["1010101", "0110101"], "total_optimization_steps": 26, "probabilities": [0.06700896400077552, 0.9297460623247052], "optimization_time": 24.044795751571655} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -2.0 * Z(2) + -1.5 * Z(6) + -1.0 * Z(4) + -1.0 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["0110101", "1010110", "0110011", "1010101"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.13585782355247195) q[0];
rz(0.29864270240676144) q[0];
ry(0.4563168005262513) q[1];
rz(0.38243811920507753) q[1];
cx q[1], q[0];
ry(0.5176341854895177) q[0];
rz(-0.43373726839029036) q[0];
ry(0.7226319683581064) q[1];
rz(0.3157779697635044) q[1];
ry(0.545519599691... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIIZ",
"ZIIIZII",
"IIZIIZI",
"ZIZIIII",
"IZIIZII",
"ZZIIIII",
"IZZIIII",
"IIIZZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIZIIII",
"IZIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-2,
-1.5,
-1,
-1,
0
] | 0.970229 | [
0.13585782355247195,
0.29864270240676144,
0.4563168005262513,
0.38243811920507753,
0.545519599691342,
0.19833271922099288,
0.047629893253298736,
-0.6494667888063903,
0.8509917401973556,
0.07690407039138134,
0.3022796071558218,
0.36948672697092555,
-0.07852957412380208,
0.27113912634784293,... | {
"n_parameters": 118,
"n_qubits": 11,
"optimal_eigenvalue": -3.6875,
"target_ratio": 0.97,
"target_value": -3.576875
} | 91 |
ad2c8808e4e24f79d1ce4f9a8d64bbe1 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 1, ... | {"states": [57, 61], "expectation_value": -7.99999260634772, "params": null, "bitstrings": ["11000110", "11000010"], "total_optimization_steps": 50, "probabilities": [1.8042475181095282e-06, 0.9999981319545665], "optimization_time": 70.44066786766052} | -0.5 * (Z(0) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["11000010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.014854315310046964) q[0];
ry(-0.03729676010121815) q[1];
rz(-pi) q[1];
h q[2];
ry(0.8055963103906512) q[2];
h q[3];
ry(1.5413867232941334) q[3];
h q[4];
ry(0.8055963103906512) q[4];
cx q[3], q[4];
ry(-0.8055963103906512) q[4];
cx q[3], q[4];
h q[5];
... | 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[... | [
"IIIIIIZZ",
"ZIIIIIIZ",
"IIZIIIZI",
"ZIZIIIII",
"IZIIIIZI",
"IIIIIZZI",
"IIZIIZII",
"IIIIZIZI",
"ZIIIZIII",
"IIZIZIII",
"IZIIZIII",
"IIIIZZII",
"ZIIZIIII",
"IIZZIIII",
"IZIZIIII",
"IIIZIZII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIZI... | [
-0.5,
0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.75,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
-0.25,
0.25,
-0.75,
-0.25,
1.25,
1
] | 0.998931 | [
1.5413867232941334,
1.6111926207813023,
1.5582303119186558,
1.5849264559127798,
-1.5965526985559542,
-1.4420256266999978,
-1.5801916192047236,
-0.18294787998736117,
-0.01192451884967978,
0.04787332815945153,
0.021804112902021354,
0.06662708175304768,
0.08666792215002461
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 1 |
1868412768826075099 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 5, 6], [4, 5], [1, 2, 3, 6], [0, 1, 2, 3, 4], [1, 2, 5, 6], [0, 1, 6], [0, 2, 3, 5, 6]]} | {"states": [93, 122], "expectation_value": -0.9969926357467778, "params": [[-0.37210000000000004], [0.3669]], "bitstrings": ["0100010", "0000101"], "total_optimization_steps": 40, "probabilities": [0.021332927947033904, 0.021958714280838513], "optimization_time": 5.7704784870147705} | 0.21666666666666667 * (Z(1) @ Z(3)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(3)) + 0.41666666666666663 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(5)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.18333333333333335 * (Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.9833333333333338], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8166666666666673, "smallest_bitstrings": ["0000101"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(-8.542766897677868e-08) q[1];
cx q[3], q[1];
h q[4];
h q[5];
cx q[3], q[5];
rz(1.2239153582421114e-07) q[5];
cx q[3], q[5];
cx q[1], q[5];
rz(-8.842470756995848e-09) q[5];
cx q[1], q[5];
h q[6];
cx q[3], q[6];
rz(-8.5427... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZI",
"IZIZIII",
"IZIIIZI",
"ZIIZIII",
"ZIIIIZI",
"ZZIIIII",
"IIZZIII",
"IIZIIZI",
"IZZIIII",
"IIIZZII",
"IIIIZZI",
"IZIIZII",
"ZIIIZII",
"IIZIZII",
"IIIZIIZ",
"IIIIIZZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIZIIIZ",
"IIIIZIZ",
"IIIZIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII",
"IIZ... | [
0.21666666666666667,
0.13333333333333333,
0.16666666666666666,
0.21666666666666667,
0.41666666666666663,
0.21666666666666667,
0.05,
0.05,
0.5,
0.18333333333333335,
0.21666666666666667,
0.13333333333333333,
0.21666666666666667,
0.05,
0.1,
0.21666666666666667,
0.05,
0.216666666666666... | 0.831779 | [
-8.542766897677868e-8,
1.2239153582421114e-7,
-8.842470756995848e-9,
-1.5707962897839571,
-7.727001456553662e-8,
-1.570796240129721,
1.2504317509370478e-8,
-1.7330139464229592e-7,
-1.5707965971335138,
-9.641764266808506e-8,
1.3932844972239555e-7,
-1.570796308765725,
0.8994366361136876
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -1.9833333333333338,
"target_ratio": 0.97,
"target_value": -1.9238333333333337
} | 301 |
fc2a0aab6aa71710f421b73642e2514f | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [399, 222], "expectation_value": -0.14877713683602772, "params": [[-0.0354, -0.039, -0.0408, -0.01], [0.0368, 0.0397, 0.0473, 0.024900000000000002]], "bitstrings": ["001110000", "100100001"], "total_optimization_steps": 10, "probabilities": [0.0027160377668626204, 0.002716037766862623], "optimization_time": ... | 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(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(0) @ Z(5) @ Z(4)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(3) @ Z(7)) + ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["001110000", "100100001"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.11242251953068062) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.11242251953068062) q[3];
cx q[0], q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.11242251953068062) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[4];
rz(0.1124225... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIZZIIIZ",
"IIIIIZIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZIIZIII",
"IZIIIZIII",
"IZZIIIIII",
"IIZIIZIZI",
"IZIIIZIZI",
"IZZIIIIZI",
"IZZIIZIII",
"IZZIIZIZI",
"IIZIZIIII",
"ZIIIZIIII",
"... | [
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,
-0.125,
-0.125,
0.125,
0,
0.125,... | 0.886139 | [
0.11242251953068062,
0.7188618997790892,
-1.218608868119396,
0.06219707367807151,
-1.3014966604495342,
0.814754047515083,
-0.7136669890576299,
0.4534445368680647,
-0.6952065532198899,
0.5275019770757594,
0.01888035805324072,
-1.6254864120474146,
-0.7479707343602362,
0.5318744980053659,
0... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 500 |
fa57440be4387bc368ef7d7bc05627cf | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 7}, {"source": 1, "target": 2}, {"sour... | {"states": [245, 181], "expectation_value": -4.4450796986855465, "params": [[[0.1067, -0.2479], [0.5584, 0.004], [0.5047, -0.0506], [0.611, -0.0004], [0.6016, -0.0018000000000000002], [-0.0073, -0.32270000000000004], [0.606, 0.0005], [-0.004, -0.3279], [0.6, -0.0006000000000000001]], [[0.1097, -0.24780000000000002], [0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + -0.5 * Z(3) + -1.0 * Z(0) + -2.0 * Z(5) + -0.5 * Z(6) + ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["101001010", "110001010"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(2.5832821139501227) q[0];
ry(0.14308740273452658) q[0];
rz(-2.5606693117851917) q[0];
rz(-1.4605423455826594) q[1];
ry(2.799424813640221) q[1];
rz(1.9558524371174624) q[1];
rz(-0.5766637513252966) q[2];
ry(0.14315313703975605) q[2];
rz(-1.3190622780837362) q[2];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIZZIIIII",
"IZIIIZIII",
"IZIZIIIII",
"IZIIIIIZI",
"IIIIIIZZI",
"IIIZZIIII",
"IZIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"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,
-0.5,
-1,
-2,
-0.5,
-2,
-0.5,
0,
-0.5,
-0.5
] | 0.977411 | [
-0.0018339919720771168,
0.8881241869864477,
1.4276066746031912,
-0.02026680560460002,
-0.31811508779794284,
-0.9751778034667797,
1.301232972705915,
0.002831609453162548,
0.6798882548181391,
0.06995728191647281,
0.1690358367220669,
-0.5998486969810349,
0.9946723216055762,
0.0880657748083865... | {
"n_parameters": 48,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 41 |
3947074215083517616 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 9, 4, 6], [1, 3, 4, 8, 10, 11], [10, 4, 6], [3, 4, 7, 8, 9], [3, 6, 8, 9, 10, 11], [8, 2, 11], [0, 4, 5, 8, 9], [0, 2, 3, 8, 9], [8, 1, 5, 7]]} | {"states": [2021, 2037], "expectation_value": -2.1279656524731205, "params": [0.045200000000000004, 0.047400000000000005, 1.4863000000000002, 1.6505, 1.5718, 1.5762, 1.5639, 1.5718, 1.5709000000000002, 1.5643, 1.5845, 1.5511000000000001, 1.5878, 1.5477, 0.8739, 0.8522000000000001, 0.036000000000000004, 0.0373, 1.5878, ... | 0.18333333333333335 * (Z(0) @ Z(9)) + 0.18333333333333335 * (Z(4) @ Z(9)) + 0.13333333333333333 * (Z(4) @ Z(0)) + 0.11666666666666667 * (Z(6) @ Z(9)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(4)) + 0.03333333333333333 * (Z(1) @ Z(4)) + 0.13333333333333336 * (Z(3) @ Z(9)) + 0.05 * (Z(3) @ Z(0)) + 0.083333... | 13 | 12 | 1 | {"smallest_eigenvalues": [-2.1666666666666674], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["100000001010"], "largest_eigenvalue": 9.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.13678814278841758) q[0];
rz(0.01055078732673396) q[0];
ry(1.5682779720950752) q[1];
ry(1.4719369559960747) q[2];
ry(1.6042974188649146) q[3];
ry(1.4323357515150401) q[4];
ry(1.6209562495630396) q[5];
ry(1.6315968753980254) q[6];
ry(0.9614161650230013) q[7];
ry(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[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIIZ",
"IIZIIIIZIIII",
"IIIIIIIZIIIZ",
"IIZIIZIIIIII",
"IIIIIZIIIIIZ",
"IIIIIZIZIIII",
"IIIIIIIZIIZI",
"IIZIIIIIZIII",
"IIIIIIIIZIIZ",
"IIIIIIIZZIII",
"IIIIIZIIZIII",
"IIIIIIIIZIZI",
"IIZZIIIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIZIIII",
"IIIZIZIIIIII",
"IIIZIIIIIIZI",
"IIIZIIIIZ... | [
0.18333333333333335,
0.18333333333333335,
0.13333333333333333,
0.11666666666666667,
0.08333333333333333,
0.25,
0.03333333333333333,
0.13333333333333336,
0.05,
0.08333333333333334,
0.03333333333333333,
0.03333333333333333,
0.18333333333333335,
0.1,
0.13333333333333336,
0.033333333333333... | 0.976476 | [
0.13678814278841758,
1.5682779720950752,
1.4719369559960747,
1.6042974188649146,
1.4323357515150401,
1.6209562495630396,
1.6315968753980254,
0.9614161650230013,
0.044437956879727916,
0.014859369281012128,
1.829719889528302,
0.02110157465346792,
0.9785505879825698,
-0.022222675571647532,
... | {
"n_parameters": 43,
"n_qubits": 12,
"optimal_eigenvalue": -2.1666666666666674,
"target_ratio": 0.97,
"target_value": -2.1016666666666675
} | 1 |
74a9039e61abdfc370e0e9ccbda58085 | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 5}]} | {"states": [18, 45], "expectation_value": -0.5127472810381031, "params": [[-0.0318, -0.054, -0.0531, -0.0476], [0.0198, 0.0534, 0.057800000000000004, 0.058800000000000005]], "bitstrings": ["101101", "010010"], "total_optimization_steps": 10, "probabilities": [0.02332217818744911, 0.025709845152610575], "optimization_ti... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + 0.0 * Z(3) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["010010"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.477440440231795) q[0];
ry(-0.06728346725284151) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.022464637706429983) q[2];
ry(-0.14026191198045032) q[3];
rz(-pi) q[3];
h q[4];
h q[5];
ry(-0.5587307208019142) q[5];
cx q[4], q[5];
ry(0.5587307208019142) q[5];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIIZ",
"IIZIZI",
"ZIIIZI",
"ZZIIII",
"IIIZZI",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIZIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
0,
-0.5,
0
] | 0.985036 | [
-1.51259205572021,
-1.455297284188031,
-1.5790493769346474,
1.477440440231795,
-1.1174614416038284,
0.8138164984265778,
-0.3239264793788754,
0.4355121917407859,
-0.29038767173572155,
-0.09643115070804845,
-0.028423175133358375,
0.06490628447523733,
0.1641152818115272,
-0.1905830969119133,
... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -2.625,
"target_ratio": 0.97,
"target_value": -2.54625
} | 1 |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 3}, {"source": ... | {"states": [23, 7], "expectation_value": -1.6048605616182148, "params": [[[0.1903, 0.2096], [0.36000000000000004, 0.0599], [0.29710000000000003, 0.1231], [0.5176000000000001, 0.0005], [0.4484, -0.010100000000000001], [0.4829, -0.012400000000000001]], [[0.1908, 0.20950000000000002], [0.36250000000000004, 0.0628000000000... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 1 | 6 | 4 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.75} | 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] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
2,
2,
1.75,
2,
1.75,
2,
2,
1.75,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-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 |
d6ef88caa86def69cf0a93d5f7ae1334 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 4, "source": 3, "target": 1}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [32, 31], "expectation_value": -0.6113024220090704, "params": [[-0.06330000000000001, -0.034800000000000005, -0.0095], [0.0794, 0.0579, 0.0395]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.021555736823286188, 0.022283053565053217], "optimization_time": 2.473318815... | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -1.0 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + 2.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(2) + -0.5 * Z(4) + -1.0 * Z(1) + -0.25 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000", "110000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.142596775395089) q[0];
h q[1];
ry(-2.805862209723741) q[2];
rz(-pi) q[2];
h q[3];
ry(1.6727279779329813) q[3];
cx q[3], q[2];
ry(-0.006612696294308967) q[2];
cx q[3], q[2];
h q[4];
ry(0.18808620509776625) q[4];
h q[5];
cx q[5], q[4];
ry(-0.1880862050977662... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIZZII",
"IZZIII",
"IZIZII",
"IIZIZI",
"ZIIIIZ",
"ZZIIII",
"IIZIII",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
-0.25,
-0.25,
-1,
-0.25,
-1,
0.5,
-0.75,
2,
-0.25,
0,
-0.5,
-1,
-0.25
] | 0.977265 | [
1.6727279779329813,
0.3761724101955325,
1.2284531866345352,
0.427136098034033,
-2.285193550790178,
-0.23338856410801373,
-0.22032755357472006,
0.013225392588617935,
0.6739447709084712,
0.7214781933643197,
0.33930929519387343,
-2.1923364254591933,
0.19110177979600335,
0.7238842759854223,
... | {
"n_parameters": 18,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 132 |
d6040133fcf18b573199c2502f540ecc | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1318, 1317], "expectation_value": -81.56039304748917, "params": [[[0.5168, 0.0874], [0.14020000000000002, 0.15810000000000002], [0.6053000000000001, 0.369], [0.054400000000000004, 0.377], [-0.0664, 0.3277], [0.6019, 0.5001], [0.0317, 0.5958], [-0.022600000000000002, 0.025900000000000003], [0.2326, 0.5275000... | 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(5)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(8) @ Z(0)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(9) @ Z(8)) + 6.5 * (Z(10) @ Z(2)) + 6.5 * (Z(10) @ Z(4)) + 6.5 * (Z(10) @ Z(8)) + 6.5 * (Z(10) @ Z(9)) + 22.5 * Z... | 15 | 11 | 4 | {"smallest_eigenvalues": [-125.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -109.0, "smallest_bitstrings": ["01011011010"], "largest_eigenvalue": 183.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.4249478355623331) q[0];
ry(-0.2795384530057269) q[1];
ry(0.8447454319104899) q[2];
ry(0.18054418265146735) q[3];
ry(0.16616531592725287) q[4];
ry(0.987576729428417) q[5];
ry(-0.021911051375082043) q[6];
ry(0.24407291370284073) q[7];
ry(0.04158577295665841) q[8];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIZIZII",
"IIIIIZIZIII",
"IIIIZZIIIII",
"IIIZIIIIIIZ",
"IIZIIIIIIIZ",
"IIZZIIIIIII",
"IZZIIIIIIII",
"ZIIIIIIIZII",
"ZIIIIIZIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIZIIII",
"IIIIIZIII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
22.5,
20,
0.5,
4,
7.5,
-3.5,
-3.5,
0.5,
18.5,
5,
20.5
] | 0.974766 | [
0.4249478355623331,
-0.2795384530057269,
0.8447454319104899,
0.18054418265146735,
0.16616531592725287,
0.987576729428417,
-0.021911051375082043,
0.24407291370284073,
0.04158577295665841,
0.25741328519122214,
0.00381250003105223,
0.01875142343312751,
0.013067286519263407,
0.2158797637768122... | {
"n_parameters": 85,
"n_qubits": 11,
"optimal_eigenvalue": -125,
"target_ratio": 0.97,
"target_value": -121.25
} | 98 |
b2c25a19a038d07471a5450910ba4971 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [3, 6], "expectation_value": -2.2052451376271427, "params": null, "bitstrings": ["11100", "11001"], "total_optimization_steps": 16, "probabilities": [0.057338861254463774, 0.9026324643853599], "optimization_time": 8.629231691360474} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -1.0 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.25, "smallest_bitstrings": ["11100", "11010", "11001", "10101"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.016234704253647998) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-0.010386543699948906) q[1];
h q[2];
h q[3];
ry(1.1585700450953158) q[3];
h q[4];
ry(-0.5085847075913551) q[4];
cx q[2], q[4];
ry(0.5085847075913551) q[4];
cx q[2], q[4];
ry(-0.2519288651435193) q[4];
cx q[3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIZZI",
"IZIIZ",
"ZIIZI",
"IZZII",
"ZIZII",
"ZZIII",
"ZZZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-1,
-0.5,
-0.25,
-0.25,
-0.25
] | 0.987557 | [
-1.6083798548905424,
-1.580119373751702,
1.1585700450953158,
-1.0171694151827102,
0.8689899356169645,
-0.5038577302870386,
0.5447428831437316,
0.28835851723029476,
-0.27941569527661547,
-0.0021269934862870876,
0.08523768570425198,
-0.12057589076085368,
0.1076364646985875,
0.109842316070757... | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
12ada348b9c11023d80d21b40d9fce6b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "so... | {"states": [13, 5], "expectation_value": -3.483201511982002, "params": null, "bitstrings": ["10010", "11010"], "total_optimization_steps": 26, "probabilities": [0.281083815520102, 0.42032312287331425], "optimization_time": 16.24065613746643} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.5 * Z(4) + 1.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["11110", "11010"], "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(-0.421275234044104) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.08975213145237756) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.2466738875561171) q[3];
cx q[0], q[3];
rz(-0.7548770243522678) q[3];
rx(-1.1727560892462083) q[3]... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.5681) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"IIZZI",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
-0.5,
-1,
-0.25,
-0.5,
1,
-1,
-0.5,
-0.25,
-0.75,
0.5,
1
] | 0.970009 | [
-0.421275234044104,
-0.08975213145237756,
-0.2466738875561171,
0.2764818189504322,
-0.754877024352268,
-0.039697426295050006,
-1.1727560892462083,
-0.6047490633200694,
-0.04582608500570343,
-0.35589128305044065,
0.4950866191469228,
-0.3850968734273578,
1.0521907678224391,
-1.08956021545216... | {
"n_parameters": 28,
"n_qubits": 5,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 132 |
9b6c90aee56ab84919f7c826e678a024 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [9, 28], "expectation_value": -0.13308125969473922, "params": [[0.0758], [-0.06720000000000001]], "bitstrings": ["10110", "00011"], "total_optimization_steps": 10, "probabilities": [0.033513403339040716, 0.03476149899927976], "optimization_time": 1.2347843647003174} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + 0.0 * Z(1) + -0.5 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["00011"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.715232848262334) q[0];
h q[1];
ry(-0.030328296195851544) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.715232848262334) q[3];
cx q[1], q[3];
ry(0.715232848262334) q[3];
cx q[1], q[3];
ry(0.8365951312196482) q[1];
ry(-0.137398110733318) q[3];
h q[4];
cx q[4], q[0];
ry(... | 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[0], q[4];... | null | {"circuits": [], "gradients": []} | [
"IZIIZ",
"ZZIII",
"ZIIIZ",
"IZIZI",
"IZZII",
"ZIZII",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1,
0,
-0.5
] | 0.971164 | [
-1.5328804564516896,
-1.430465696524668,
1.0834096726626357,
0.8365951312196482,
-0.5509012021507701,
-0.274796221466636,
0.5569995611029345,
-0.19436412134691167,
0.4190248734622253,
-0.1534221934072706,
-0.34688012124946255,
0.35811511996319667,
0.3114564153778113,
-0.27922289113440785,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 4 |
5151777812028997366 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 4, 5, 7], [0, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 3, 6], [1, 2], [1, 6, 7, 8, 9], [0, 1, 3, 7, 8], [1, 3, 5], [1, 4, 9], [1, 5, 6]]} | {"states": [876, 366], "expectation_value": -1.89507802221826, "params": [1.2670000000000001, -0.1658, 0.9745, 0.00030000000000000003, 1.3995, -0.1023, 1.3903, 0.0077, 0.3239, 0.5409, 0.32320000000000004, 0.0001, 1.2974, 0.2326, 1.2283000000000002, 0.0032, 1.3651, 0.32080000000000003, 1.3297, 0.0099, 0.9452, 0.4595, 0.... | 0.25 * (Z(1) @ Z(4)) + 0.09722222222222221 * (Z(5) @ Z(4)) + 0.41666666666666663 * (Z(5) @ Z(1)) + 0.09722222222222221 * (Z(7) @ Z(4)) + 0.18333333333333335 * (Z(7) @ Z(1)) + 0.09722222222222221 * (Z(7) @ Z(5)) + 0.013888888888888888 * (Z(0) @ Z(4)) + 0.13333333333333333 * (Z(0) @ Z(1)) + 0.013888888888888888 * (Z(0) @... | 5 | 10 | 1 | {"smallest_eigenvalues": [-2.511111111111112], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.51111111111111, "smallest_bitstrings": ["1010010001"], "largest_eigenvalue": 8.500000000000005} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.6516560523166903) q[0];
rz(-0.8839259919068971) q[0];
rx(2.2870006531253804) q[1];
rz(0.28111255701332283) q[1];
rx(0.03497983300034503) q[2];
rz(0.7716850068458792) q[2];
rx(1.7803609634926074) q[3];
rz(0.4736683846526657) q[3];
rx(1.6497421135231451) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZI",
"IIIIZZIIII",
"IIIIZIIIZI",
"IIZIIZIIII",
"IIZIIIIIZI",
"IIZIZIIIII",
"IIIIIZIIIZ",
"IIIIIIIIZZ",
"IIIIZIIIIZ",
"IIZIIIIIIZ",
"IIIIIZIZII",
"IIIIIIIZZI",
"IIIIZIIZII",
"IIZIIIIZII",
"IIIIIIIZIZ",
"IIIIIZZIII",
"IIIIIIZIZI",
"IIIIZIZIII",
"IIZIIIZIII",
"IIIIIIZIIZ"... | [
0.25,
0.09722222222222221,
0.41666666666666663,
0.09722222222222221,
0.18333333333333335,
0.09722222222222221,
0.013888888888888888,
0.13333333333333333,
0.013888888888888888,
0.06388888888888888,
0.013888888888888888,
0.5,
0.013888888888888888,
0.013888888888888888,
0.013888888888888888... | 0.970582 | [
0.6516560523166903,
-0.6158890491153721,
2.2870006531253804,
0.2770641829048114,
0.03497983300034503,
0.3712514018633967,
1.7803609634926074,
0.4953956776002167,
1.6497421135231454,
-0.0304711424829585,
0.1345567957851893,
1.0619386892979445,
1.3549523292050962,
0.11485944793735302,
1.66... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -2.511111111111112,
"target_ratio": 0.97,
"target_value": -2.4357777777777785
} | 72 |
26b0c21f43e0914291253fccea754cb4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 6, "source": 2, "target": 4}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [1, 29], "expectation_value": -3.1470474657494663, "params": [[-0.1882], [0.1826]], "bitstrings": ["111110", "100010"], "total_optimization_steps": 20, "probabilities": [0.051644095587298725, 0.05388829383483147], "optimization_time": 1.9193148612976074} | -1.5 * (Z(0) @ Z(4)) + -2.0 * (Z(1) @ Z(3)) + -1.5 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + -2.75 * Z(4) + -0.25 * Z(0) + 0.5 * Z(3) + 0.5 * Z(1) + 0.75 * Z(2) + 1.25 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-10.5, -10.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.5, "smallest_bitstrings": ["100010", "101010"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.10907579258365115) q[0];
h q[1];
ry(-0.2103859763398643) q[2];
rz(-pi) q[2];
h q[3];
ry(0.604260278838176) q[3];
cx q[1], q[3];
ry(-0.604260278838176) q[3];
cx q[1], q[3];
ry(1.6522313222015446) q[1];
ry(0.6066552576964641) q[3];
cx q[3], q[1];
ry(0.104131... | 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[4], q[0... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IIZIZI",
"IZIZII",
"IIZZII",
"ZZIIII",
"ZIIIIZ",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
-1.5,
-2,
-1.5,
-0.75,
-0.25,
1.75,
-0.25,
-2.75,
-0.25,
0.5,
0.5,
0.75,
1.25
] | 0.970516 | [
-0.2181515851673023,
1.265828792876706,
-0.8838791587849417,
1.208520557676352,
1.756362495781696,
0.6066552576964641,
-0.20826234716030267,
0.12761223583215306,
-0.16017964400308954,
-1.111453342572607,
0.024964515180282365,
0.26199644891527213,
-0.4979140157648508,
-0.31833873611701424,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 25 |
-4319918290322137079 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1], [0, 5], [3, 5], [1, 3], [1, 2], [0, 3], [3, 4]]} | {"states": [43, 19], "expectation_value": -2.20536957031299, "params": null, "bitstrings": ["010100", "101100"], "total_optimization_steps": 38, "probabilities": [0.03361086547102415, 0.8105326913272964], "optimization_time": 32.00847578048706} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["101100", "010011"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.6223617446989139) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.6223617446989139) q[3];
cx q[1], q[3];
cx q[1], q[2];
rz(-0.6223617446989139) q[2];
cx q[1], q[2];
rz(7.964131576443378e-09) q[1];
rx(0.6751411476995482) 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];\ncry(-1.0342) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIIZZ",
"ZIIIIZ",
"IIZIZI",
"IIZIIZ",
"ZIZIII",
"IIIZZI",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IIZIII",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.454216 | [
-0.6223617446989139,
7.964131533884135e-9,
0.6751411476995484
] | {
"n_parameters": 3,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 103 |
0a3673ffdac65321bbf7b0925b451cf8 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 7, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 7, "source": 1, "target": 8}, {"capac... | {"states": [271, 267], "expectation_value": -5.51835893843394, "params": [[-0.15960000000000002], [0.1695]], "bitstrings": ["1011110000", "1011110100"], "total_optimization_steps": 20, "probabilities": [0.0061099017944553635, 0.006768860796690019], "optimization_time": 3.001713991165161} | -1.75 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(8) @ Z(2)) + -1.75 * (Z(1) @ Z(8)) + -2.0 * (Z(4) @ Z(3)) + -1.0 * (Z(7) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(8)) + -0.75 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + 2.5 * (Z(9) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["1011110100"], "largest_eigenvalue": 24.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.07886682323714066) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.6268588832631897) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.18270505434415132) q[3];
cx q[0], q[3];
h q[4];
cx q[3], q[4];
rz(0.7409926055207786) q[4];
cx q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IZIIIIIZII",
"IZIIIIIIZI",
"IIIIIZZIII",
"IIZIIIZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIZIIZIII",
"IZIZIIIIII",
"IIIZIIIIZI",
"IIIZZIIIII",
"ZIIIIIIIIZ",
"ZIZIIIIIII",
"ZIIZIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IZIIIIIIII"... | [
-1.75,
-1.25,
-0.5,
-0.25,
-1.75,
-2,
-1,
-0.5,
-0.75,
-1.5,
-1.5,
-0.75,
-1.75,
2.5,
-0.75,
-1,
-0.25,
-0.25,
-1.25,
-1.5,
1,
-0.75,
-0.25,
-2,
4.5,
0.75
] | 0.594684 | [
0.07886682323714066,
0.6268588832631897,
0.18270505434415132,
1.0641676618925666,
0.7409926055207786,
0.03864276653991108,
0.2322388388533163,
-0.01759150675436562,
-0.16329620959436658,
-1.5292088632565066,
-1.5506991992892978,
-1.5223532883210942,
1.3255433222907507
] | {
"n_parameters": 13,
"n_qubits": 10,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 306 |
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