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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
9c1e6a6a43ea5cf81c507864c17a72e6 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"s... | {"states": [0, 8191], "expectation_value": -27.709906142200875, "params": [[[0.0022, 1.6091], [0.0021000000000000003, 0.0022], [0.0019, 0.0021000000000000003], [0.0024000000000000002, 0.0022], [0.002, 0.0016], [0.002, 0.0018000000000000002], [0.0021000000000000003, 0.0018000000000000002], [0.0035, 0.0026000000000000003... | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(6)) + -2.0 * (Z(8) @ Z(12)) + -2.5 * (Z(9) @ Z(12)) +... | 15 | 13 | 1 | {"smallest_eigenvalues": [-33.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.0, "smallest_bitstrings": ["0000000000000"], "largest_eigenvalue": 29.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.012469230081786575) q[0];
ry(-0.022864236145165674) q[1];
ry(-0.1287974028592926) q[2];
ry(0.018884043632478923) q[3];
ry(-0.20756769162914274) q[4];
ry(-0.20756769162914274) q[5];
ry(-0.022864236145165674) q[6];
ry(0.20360452408711055) q[7];
ry(0.2156524831513948... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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] ... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZIZ",
"IIIIIIIIIZZII",
"IIIIIIIIIZIIZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIIZZ",
"IIIIIIIIIZIZI",
"IIIIIIIZZIIII",
"IIIIIIZZIIIII",
"IIIIIIZIZIIII",
"IIIIIZIZIIIII",
"IIIIIZIIZIIII",
"IIIIIZZIIIIII",
"ZIIIZIIIIIIII",
"ZIIZIIIIIIIII",
"IIIZZIIIIIIII",
"ZIZIIIIIIIIII",
"IIZZIIIIIII... | [
-2,
-2,
-2,
-2.5,
1,
-2.5,
-1.5,
-2,
-2,
0.5,
0.5,
-2,
-2,
-2.5,
0.5,
1,
-2,
-2.5,
0.5,
-2,
-2,
1,
0.5,
1,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.973432 | [
0.012469230081786575,
-0.022864236145165674,
-0.1287974028592926,
0.018884043632478923,
-0.20756769162914274,
0.20360452408711055,
0.21565248315139482,
-0.2926978634307817,
-0.06451676931932834,
-0.046277087448450036,
2.944325991553753,
0.05678574708990286,
-0.0581221740222227,
-0.06538896... | {
"n_parameters": 16,
"n_qubits": 13,
"optimal_eigenvalue": -33,
"target_ratio": 0.97,
"target_value": -32.01
} | 16 |
4c1e4ee59f8117578a5fab04915fd603 | 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": [692, 724], "expectation_value": -43.14386196736261, "params": [[[0.2806, 0.2097], [0.281, 0.2456], [0.49970000000000003, 0.29050000000000004], [0.4999, 0.3519], [0.2889, 0.2772], [0.5008, 0.1341], [0.4666, 0.268], [0.2932, 0.49620000000000003], [0.4958, 0.5011], [0.3524, 0.1291]], [[0.2806, 0.2733], [0.2775... | 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(3) @ Z(0)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(8) @ Z(7)) + 11.0 * Z(1) + 16.5 * Z(2) + 12.5 * Z(0) + 9.0 * Z(3) + 2.5 * Z(4) + 5.5 * Z(5) + 3.5 * Z(6) + 10.0 *... | 15 | 10 | 4 | {"smallest_eigenvalues": [-91.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -88.0, "smallest_bitstrings": ["0100101011"], "largest_eigenvalue": 142.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.5169487576275952) q[0];
ry(-0.04882524494128402) q[1];
ry(1.159792452430607) q[2];
ry(0.19416152461916733) q[3];
ry(0.315872608299963) q[4];
ry(0.9026199368785567) q[5];
ry(0.08197031533584162) q[6];
ry(0.06191578710836046) q[7];
ry(0.5758593163367969) q[8];
ry(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIZIIIZI",
"IIIZZIIIII",
"IIZZIIIIII",
"IZZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
11,
16.5,
12.5,
9,
2.5,
5.5,
3.5,
10,
-4.5,
-11
] | 0.970358 | [
0.5169487576275952,
-0.04882524494128402,
1.159792452430607,
0.19416152461916733,
0.315872608299963,
0.9026199368785567,
0.08197031533584162,
0.06191578710836046,
0.5758593163367969,
0.6331982090922363,
-0.039968266108066496,
-0.03942822706316649,
0.12162654609215881,
0.1942523830769477,
... | {
"n_parameters": 78,
"n_qubits": 10,
"optimal_eigenvalue": -91,
"target_ratio": 0.97,
"target_value": -88.27
} | 87 |
cde6b48ed870286595c1455af7aff8bd | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}, {"source": 2, "target": 3}]} | {"states": [2910, 3421], "expectation_value": -2.817331632353917, "params": [[0.10790000000000001, 0.1057, -0.09820000000000001, -0.15940000000000001], [-0.112, -0.1158, -0.1306, 0.1353]], "bitstrings": ["010010100001", "001010100010"], "total_optimization_steps": 20, "probabilities": [0.0013273195617082931, 0.00132731... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 4 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["100100010100", "100100010001", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIZIIIIII",
"IZIIZIIIIIII",
"IZZIIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.75,
0.75,
0.75,
1.25,
1.25,
1.25,
0.75,
0.75,
0.75,
0.75,
0.75,
0.75
] | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
839e49943c280a605024f1eaa388ffdd | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capaci... | {"states": [3, 1], "expectation_value": -0.30526297057423374, "params": [[-0.07830000000000001], [0.0785]], "bitstrings": ["111100", "111110"], "total_optimization_steps": 10, "probabilities": [0.019527684371898564, 0.02044229669072348], "optimization_time": 1.2933731079101562} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + 1.5 * (Z(5) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.5 * Z(5) + -1.0 * Z(3) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.610696988332422) q[0];
h q[1];
ry(-1.610696988332422) q[1];
ry(-0.008287823470105224) q[2];
rz(-pi) q[2];
rz(-pi) q[3];
ry(-0.08573910863688183) q[3];
rz(-pi) q[4];
ry(-0.053813276033384) q[4];
h q[5];
ry(1.5055160025387713) q[5];
cx q[5], q[4];
ry(0.11911... | 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"ZIIIIZ",
"IIZIZI",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
-0.75,
-0.25,
-0.5,
1.5,
-1,
-0.5,
0.5,
-0.25,
-0.75,
1.5,
-1,
0
] | 0.997269 | [
1.5055160025387713,
-1.610696988332422,
-1.5348557413287611,
-1.690543994376932,
-1.50548970354966,
-0.23823979855724126,
0.06801711789030701,
-0.05530552399206049
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
b76f4835adbc5893d8d9f863102f37c3 | 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": 1, "source": 0, "target": 1}, {"weight": 17, "source": 1, "target": 7}, {"weight": 14, "source": 1, "target": 9}, {"weight":... | {"states": [980, 468], "expectation_value": -64.37754046419742, "params": [1.0067000000000002, 0.0019, 0.9969, 0.0033, 0.9991000000000001, 0.002, 0.9913000000000001, 0.0045000000000000005, 1.0054, -0.0038, 0.9949, 0.0089, 1.0024, 0.0033, 0.9937, 0.0058000000000000005, 0.9984000000000001, 0.0047, -0.3126, 0.0066, 1.0055... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(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(6)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(9) @ Z(3)) + 19.5 * Z(1) + 6.0 * Z(0) + 18.5 * ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-103.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -87.0, "smallest_bitstrings": ["1000101011"], "largest_eigenvalue": 152.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.17637211928191682) q[0];
rz(0.1797434980395689) q[0];
rx(0.9957810338883953) q[1];
rz(-0.3379523995666682) q[1];
rx(0.6927482718040835) q[2];
rz(-0.4984752155273706) q[2];
rx(0.6862591277436583) q[3];
rz(0.44258128642993055) q[3];
rx(-0.06091739298567074) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IZIIIIIIZI",
"IZZIIIIIII",
"ZIIIIIIZII",
"ZIIIIIZIII",
"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,
19.5,
6,
18.5,
18,
6.5,
-4,
1,
10,
3,
2
] | 0.972057 | [
0.1763721192819168,
0.1738142036328758,
0.9957810338883952,
-0.3156254314764816,
0.6927482718040836,
-0.37263162557107804,
0.6862591277436583,
0.38093631380213544,
-0.06091739298567074,
0.06384264843983106,
0.5363998889502023,
-0.29332885515631324,
0.1536915792629554,
0.582261939762077,
... | {
"n_parameters": 96,
"n_qubits": 10,
"optimal_eigenvalue": -103,
"target_ratio": 0.97,
"target_value": -99.91
} | 67 |
96aa688a41503b0eea4bda42198f6281 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [181, 53], "expectation_value": -2.819462661707389, "params": [0.5077, 0.15230000000000002, -0.0041, 0.40840000000000004, 0.5629000000000001, 0.11, 0.6088, 0.0135, 0.5862, 0.2803, 0.5939, 0.3355, -0.0131, 0.3355, 0.6022000000000001, 0.1572, 0.5055000000000001, 0.1855, -0.0074, 0.4147, 0.5574, 0.1393, 0.60830... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -1.5 * Z(6) + 0.0 * Z(3) + -0.5 * Z(7) + -0.5 * Z(4) + 0.0 * Z(5) | 3 | 8 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["11000110", "01100110", "11001010", "01101010"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1309828985838556) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.1309828985838556) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1309828985838556) q[2];
cx q[0], q[2];
rz(-0.1539228319124235) q[0];
rx(-0.11835153931238239) q[0];
h q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IZIIIIIZ",
"IZIIIZII",
"IIIIZIZI",
"ZIIIIIZI",
"ZZIIIIII",
"IZIZIIII",
"IIZZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IZIIIIII",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1.5,
0,
-0.5,
-0.5,
0
] | 0.971118 | [
0.1309828985838556,
0.594262456020538,
-0.1539228319124228,
0.12446024266432326,
-0.6149272815905993,
-0.08643543530531737,
0.3525135566268864,
0.9509792797491994,
-0.18849338277309924,
-0.7155564044841078,
-0.11835153931238239,
-0.10838480904433179,
0.9411007451254257,
-1.130705164161819,... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -83.5,
"target_ratio": 0.97,
"target_value": -80.995
} | 54 |
eff46f0cf37b305d8fe83bab80f878b4 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 2, "target": 7}, {"source": 2, "target": 9}, {"source": 3, "target":... | {"states": [0, 384], "expectation_value": -3.5553527650716013, "params": [[-0.0483], [0.060200000000000004]], "bitstrings": ["111111111", "001111111"], "total_optimization_steps": 10, "probabilities": [0.0033895368677652076, 0.0034670168789999916], "optimization_time": 3.642214298248291} | -1.0 * (Z(0) @ Z(1)) + -3.5 * (Z(2) @ Z(6)) + -3.5 * (Z(8) @ Z(6)) + -4.0 * (Z(8) @ Z(2)) + -3.5 * (Z(3) @ Z(6)) + 1.5 * (Z(3) @ Z(2)) + -4.0 * (Z(3) @ Z(8)) + -4.0 * (Z(4) @ Z(6)) + 1.5 * (Z(4) @ Z(2)) + -4.0 * (Z(4) @ Z(8)) + 1.5 * (Z(4) @ Z(3)) + -3.5 * (Z(5) @ Z(6)) + 1.5 * (Z(5) @ Z(2)) + -4.0 * (Z(5) @ Z(8)) + 1.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-41.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -39.5, "smallest_bitstrings": ["001111111"], "largest_eigenvalue": 50.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.8532103897169807) q[0];
cx q[1], q[0];
rz(0.2613918779079758) q[0];
rx(1.0917212528491729) q[0];
rz(0.2613918779079758) q[1];
rx(1.0917212528491729) q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[2];
rz(0.5187935978200613) 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;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIZIIIZII",
"ZIZIIIIII",
"ZIIIIIZII",
"IIZIIZIII",
"IIIIIZZII",
"ZIIIIZIII",
"IIZIZIIII",
"IIIIZIZII",
"ZIIIZIIII",
"IIIIZZIII",
"IIZZIIIII",
"IIIZIIZII",
"ZIIZIIIII",
"IIIZIZIII",
"IIIZZIIII",
"IZZIIIIII",
"IZIIIIZII",
"ZZIIIIIII",
"IZIIIZIII",
"IZIIZIIII",
"... | [
-1,
-3.5,
-3.5,
-4,
-3.5,
1.5,
-4,
-4,
1.5,
-4,
1.5,
-3.5,
1.5,
-4,
1.5,
-3,
1,
0.5,
-3.5,
0.5,
-3,
1,
0.5,
0.5,
2.5,
-3,
2.5,
-3,
-3.5,
-3,
1
] | 0.544908 | [
1.8532103897169807,
0.5187935978200613,
0.4719879918755143,
0.23052414967164317,
0.6369704061920445,
0.33749824694958747,
0.26139187790797547,
0.4009301481425114,
1.091721252849173
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -41.5,
"target_ratio": 0.97,
"target_value": -40.254999999999995
} | 250 |
c0298473ff578e743a7bebe70d7bc35e | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [60, 54], "expectation_value": -3.9991448153022673, "params": null, "bitstrings": ["1000011", "1001001"], "total_optimization_steps": 34, "probabilities": [0.06552908863862121, 0.9338662203755976], "optimization_time": 29.885200023651123} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + -0.5 * Z(1) + -1.0 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + -1.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001001", "1000011"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.381653596326513) q[0];
rz(-1.1527566986494673) q[0];
rx(0.09236593635847296) q[1];
rz(1.013468115485601) q[1];
cx q[1], q[0];
rz(0.33730173307404715) q[0];
cx q[1], q[0];
rx(0.38144026620223603) q[0];
rz(0.06407533935437126) q[0];
rx(0.09236593635847296) q[1];
rz(... | 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", ... | [
"IIIIIZZ",
"IIZIIIZ",
"IZIIIIZ",
"ZIIIIZI",
"ZZIIIII",
"ZIIIZII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
0,
-1,
-1,
0,
0
] | 0.972467 | [
-0.381653596326513,
-0.8154549655754202,
0.09236593635847296,
1.013468115485601,
0.22169867108911415,
0.4340847686313679,
2.045458072876067,
0.280817696519691,
-0.06357938326517396,
1.2001498857117454,
0.022901920759747618,
1.6472374422907472,
2.094650133142965,
-0.25889317790714383,
-0.... | {
"n_parameters": 29,
"n_qubits": 7,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 32 |
-508403983969535921 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 4], [2, 3], [0, 1], [0, 3]]} | {"states": [17, 20], "expectation_value": -1.668623041917047, "params": null, "bitstrings": ["01110", "01011"], "total_optimization_steps": 26, "probabilities": [0.06079622099788939, 0.7685181518468844], "optimization_time": 58.06145453453064} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["10100", "01011"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(0.8909584347184499) q[2];
cx q[4], q[2];
cx q[2], q[3];
rz(0.8909584347184499) q[3];
cx q[2], q[3];
rz(-8.909950111046783e-09) q[2];
rx(-0.7853981732803847) q[2];
cx q[3], q[0];
rz(0.8909584347184499) q[0];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... | [
"ZIZII",
"IZZII",
"IZIIZ",
"IIIZZ",
"ZIIII",
"IIZII",
"IZIII",
"IIIIZ",
"IIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.561092 | [
0.8909584347184499,
-8.909950030797612e-9,
-0.7853981732803847
] | {
"n_parameters": 3,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 98 |
b2a86e79e509d0d76748a475959a4d60 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [42, 46], "expectation_value": -1.6248820152843804, "params": [-0.0027, 0.0061, 0.992, 0.003, 1.6133000000000002, 0.0027, 1.0269000000000001, 0.0098, 1.6097000000000001, 0.005200000000000001, 1.5977000000000001, 0.0047, 1.6067, 0.002, 0.0026000000000000003, 0.0036000000000000003, 0.0016, 0.0044, 0.0026000000... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(0) @ Z(2) ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.625, "smallest_bitstrings": ["11000101", "10011001", "11010001"], "largest_eigenvalue": 6.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.10531842151091338) q[0];
cx q[3], q[0];
rz(0.4891930059834122) q[0];
rx(-0.0661317683158416) q[0];
cx q[3], q[1];
rz(0.10531842151091338) q[1];
cx q[3], q[1];
cx q[1], q[2];
rz(0.10531842151091338) q[2];
cx q[1], 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": []} | [
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIZZZI",
"IIIZIIZI",
"IIIIIZIZ",
"IIZIIIIZ",
"IZIIIIIZ",
"IIZIIZII",
"IZIIIZII",
"IZZIIIII",
"IIZIIZIZ",
"IZIIIZIZ",
"IZZIIIIZ",
"IZZIIZII",
"IZZIIZIZ",
"IIZIZIII",
"IZIZIIII",
"ZIIZIIII",
"ZZIIIIII",
"ZZIZIIII",
"IIIIIIIZ",
"IIIIIIZ... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.625,
-0.25,
0.125,
-0.25,
-0.25,
-0.125,
0.125,
-0.75
] | 0.981939 | [
0.10531842151091338,
-0.9612079782757411,
0.4891930059834108,
-0.3889941233568148,
0.09888614070956181,
-0.06613176831584158,
-0.15982742550497311,
-0.9131467726130178,
-0.7744447103826919,
0.963045529704064,
-0.42018965464630975,
0.1277451781058455,
0.12286825244091745,
-0.142262780034014... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 44 |
5255497973117942882 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 7], [1, 3, 4], [1, 3, 5, 6, 7], [2, 6], [0, 3, 5, 6], [1, 2, 4, 5, 7], [0, 1, 6], [0, 1, 4, 7], [1, 4, 6], [3, 4, 6, 7], [2, 3, 4, 7]]} | {"states": [220, 252], "expectation_value": -1.607441374946423, "params": [1.2805, 0.0047, 1.2828000000000002, 0.0027, 1.2663, 0.0054, 1.2808000000000002, -0.0005, 0.7991, 0.1184, 0.7987000000000001, 0.0014, 1.2768000000000002, -0.0166, 1.2816, 0.010700000000000001, 1.2899, 0.0247, 1.296, 0.0094, 1.2914, 0.174000000000... | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.21666666666666667 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.3 * (Z(7) @ Z(3)) + 0.05 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(0)) + 0.21666666666666667 * (Z(1) @ Z(3)) + 0.18333333333333335 * (Z... | 8 | 8 | 1 | {"smallest_eigenvalues": [-2.7333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.700000000000001, "smallest_bitstrings": ["00000011"], "largest_eigenvalue": 10.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.4132419914874768) q[0];
rz(1.5793904930159695) q[0];
rx(1.8553673230463517) q[1];
rz(-0.0008321619083773851) q[1];
cx q[1], q[0];
ry(0.0452489865290556) q[0];
cx q[1], q[0];
ry(1.8439514429404076) q[0];
rz(-1.3655826928193955) q[0];
rx(1.002988514579121) q[1];
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": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZIZI",
"ZIIIIIZI",
"IIIZIZII",
"IIIZIIIZ",
"IIIZZIII",
"ZIIZIIII",
"IIIZIIZI",
"IIZIIZII",
"IIZIIIIZ",
"IIZIZIII",
"ZIZIIIII",
"IIZIIIZI",
"IIZZIIII",
"IZIIIZII",
"IZIIIII... | [
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.21666666666666667,
0.16666666666666666,
0.3,
0.05,
0.25,
0.21666666666666667,
0.18333333333333335,
0.13333333333333333,
0.08333333333333333,
0.3333333333333333,
0.3,
0.4666666666666667,
0.05,
0.08333333333333333,
0.13... | 0.975418 | [
1.413241991487477,
0.00859416622107264,
1.8553673230463517,
-0.0008321619083773851,
1.3157558278160544,
0.17580733528597842,
1.0803689695191474,
-0.16053562098645927,
2.060785917604367,
-0.30649264761272765,
1.6856139039177225,
0.09531325657162618,
0.1723084112062399,
0.5021740542059342,
... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -2.7333333333333334,
"target_ratio": 0.97,
"target_value": -2.651333333333333
} | 21 |
c57625ce2de67c1086ad1c24582707c2 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [17, 1], "expectation_value": -3.1295730861972038, "params": [[[0.0031000000000000003, 0.36310000000000003], [0.4627, -0.007500000000000001], [0.001, 0.4677], [0.46540000000000004, 0.005], [0.0053, 0.40800000000000003], [0.6104, 0.0034000000000000002]], [[0.004, 0.3619], [0.4656, -0.0074], [0.006200000000000... | -0.75 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * Z(2) + -0.25 * Z(0) + 0.5 * Z(1) + -0.75 * Z(4) + 0.75 * Z(5) + 0.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.25, "smallest_bitstrings": ["111110", "111010", "101010", "101110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-pi) q[0];
ry(-0.04555174660829865) q[0];
h q[1];
rz(-pi) q[2];
ry(-0.04555174660829865) q[2];
h q[3];
h q[4];
ry(-0.7617454856021101) q[4];
h q[5];
ry(1.6259872692335873) q[5];
cx q[5], q[4];
ry(0.7617454856021101) q[4];
cx q[5], q[4];
ry(0.03538166069087447) 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": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIIZZI",
"IZIZII",
"ZIIZII",
"ZIIIIZ",
"IZZIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
-0.75,
-0.5,
-0.25,
-0.25,
1,
-0.5,
-0.75,
-0.25,
0.5,
-0.75,
0.75,
0.5
] | 0.994308 | [
1.6259872692335873,
-1.6769397797965455,
-1.5234909712042202,
0.07076332138174894,
0.09535941020082443,
0.07848445490394958,
0.12118341278670078
] | {
"n_parameters": 7,
"n_qubits": 6,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 1 |
16aed950661228e73cbfe28c55f52a27 | 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": 15, "source": 0, "target": 4}, {"weight": 14, "source": 0, "target": 6}, {"weight": 17, "source": 0, "tar... | {"states": [252, 248], "expectation_value": -13.74682233414446, "params": [[-0.0292], [0.0737]], "bitstrings": ["100000011", "100000111"], "total_optimization_steps": 10, "probabilities": [0.003635399924416039, 0.00424812661130313], "optimization_time": 2.333258628845215} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-94.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "smallest_bitstrings": ["100000111"], "largest_eigenvalue": 180.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.052917474503626036) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.052917474503626036) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.052917474503626036) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.052917474503626036) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIZZIIII",
"IIZIIIIZI",
"IZIIIIZII",
"IZIIZIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
17.5,
14,
21,
20.5,
14.5,
18.5,
-2.5,
2.5,
2
] | 0.974008 | [
0.052917474503626036,
-0.833862350659093,
0.7824849905832925,
-1.2282155200911047,
-0.6040929875217558,
-0.7065169793485129,
-0.9366383353961008,
0.8866394481108202,
0.5604813707399259,
1.0965652446889536,
0.8661048964931922,
-0.04698174810610116,
-0.7761643316060929,
0.6032730800075495,
... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -94,
"target_ratio": 0.97,
"target_value": -91.17999999999999
} | 62 |
dd5fc1f9f83fb22d203285a7c9a347ac | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 6, "target":... | {"states": [0, 507], "expectation_value": -6.739821325867181, "params": [0.3053, 0.17450000000000002, 0.2503, 0.38920000000000005, 0.3538, 0.0198, 0.2131, 0.5296000000000001, 0.2894, 0.1615, 0.26180000000000003, 0.43320000000000003, 0.3432, -0.0221, 0.23550000000000001, 0.45420000000000005, 0.4156, -0.10260000000000001... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(6) | 6 | 9 | 4 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["000000100"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.8172203096163698) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.8172203096163698) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.6794975297045968) q[1];
cx q[0], q[1];
rz(-0.6794975297045966) q[0];
rx(2.048574796605975) q[0];
rz(-0.67... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIZIIIIII"
] | [
-1.5,
-1.5,
0.5,
-1.5,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.583059 | [
-0.8172203096163698,
-0.6794975297045968,
-0.8500188890012612,
1.5707962886514641,
2.048574796605975
] | {
"n_parameters": 5,
"n_qubits": 9,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 166 |
b112e2ea9564e5424aa1ebbe167f5e45 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [7, 5], "expectation_value": -4.0094061793112985, "params": [[-0.14750000000000002, -0.1458, -0.1264, -0.1028], [0.16790000000000002, 0.164, 0.1477, 0.13090000000000002]], "bitstrings": ["11111000", "11111010"], "total_optimization_steps": 20, "probabilities": [0.061231638642198195, 0.07479861043638233], "op... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(4)) + 1.25 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(5)) + 0.0 * Z(1) + -0.25 * Z(0) + -0.5 * Z(3) + 1.75 * Z(5) + -1.0 * Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["11111000", "11111010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.18819774766479871) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.18819774766479871) q[2];
cx q[1], q[2];
rz(0.9557972396968015) q[1];
rx(1.563801549934994) q[1];
h q[3];
cx q[0], q[3];
rz(0.4061575429734188) q[3];
cx q[0], q[3];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIZIII",
"IIIIIZZI",
"IIZIIZII",
"IIIZZIII",
"IZZIIIII",
"IZIZIIII",
"ZIIIIIIZ",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
1.25,
-0.5,
0,
-0.25,
-0.5,
1.75,
-1,
-0.75,
0,
0.75
] | 0.90226 | [
0.18819774766479871,
0.4061575429734188,
-0.39507107261197827,
0.9557972396968014,
-0.4899844130103013,
0.8080302961898232,
0.8568281505616694,
-0.9522092767684763,
1.563801549934994,
0.3638837016850933,
0.5115046122872459,
-0.8854963185030021,
-2.014006815333632,
1.414161618397495,
1.20... | {
"n_parameters": 17,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 383 |
9f6a09f991bf68484362b3872f6239a7 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 5... | {"states": [1, 9], "expectation_value": -2.5788865920947996, "params": [[0.024200000000000003, 0.061700000000000005, 0.0685, 0.06770000000000001], [0.024, -0.0364, -0.0546, -0.0516]], "bitstrings": ["1111110", "1110110"], "total_optimization_steps": 10, "probabilities": [0.01996982388624838, 0.020370972731541308], "opt... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(2)) + -1.25 * Z(1) + -... | 1 | 7 | 4 | {"smallest_eigenvalues": [-10.5, -10.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.5, "smallest_bitstrings": ["1110110", "1111110"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5274762796530195) q[0];
ry(-0.05460135151509041) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5274762796530195) q[2];
h q[3];
h q[4];
ry(-1.5274762796530195) q[4];
h q[5];
ry(-1.5274762796530195) q[5];
h q[6];
ry(1.6197079894875082) q[6];
cx q[6], q[1];
ry(0.01122076... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIIZIZI",
"IZIZIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZZIIIII",
"ZIIZIII",
"IIIZZII",
"IIZIIZI",
"IZZIIII",
"IIZIZII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"ZIIIIII",
"IIIIZII",
"IIZIIII"
] | [
-1,
-1,
-0.75,
-0.25,
-0.25,
-0.5,
2,
-0.75,
-0.25,
-1.5,
-1.5,
-0.75,
-2,
-1.25,
-0.25,
0,
1.75,
0.5,
-2,
1.25
] | 0.998376 | [
-1.5274762796530195,
-1.5049742069886847,
1.6197079894875082,
-0.022441536582243415,
-0.08190499389509455
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 1 |
9e8a866d2c0011b6946d4c64e758f31c | matching | adaptive_vqe | {"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": 17, "source": 0, "target": 4}, {"weight": 17, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 2}, {"weight": 1... | {"states": [188, 124], "expectation_value": -37.8184138275246, "params": null, "bitstrings": ["01000011", "10000011"], "total_optimization_steps": 100, "probabilities": [0.1356070492565516, 0.23366831123903148], "optimization_time": 155.3041479587555} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(0)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-77.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["10000011"], "largest_eigenvalue": 159.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.0097347073373075) q[0];
rz(-0.14101462084387117) q[0];
rx(-0.38750982357956676) q[1];
rz(-0.3057211553890907) q[1];
cx q[1], q[0];
rz(0.13275230381341913) q[0];
cx q[1], q[0];
rx(1.3782189303544248) q[0];
rz(-0.29267031617775396) q[0];
rz(-0.09789635874452761) q[1]... | null | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"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(9.9081) 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[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"ZIIIIZII",
"ZIZIIIII",
"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,
15.5,
12,
15.5,
16.5,
19.5,
16,
4.5,
3.5
] | 0.971229 | [
1.0097347073373075,
-0.008262317030451896,
-0.38750982357956676,
-0.3057211553890907,
1.2302795857067115,
-0.013592108438004277,
1.1428987618315947,
0.21610326377545203,
-0.0945257361764085,
0.05751696828617267,
1.1584777199858318,
-0.024575436526478617,
1.269911032440262,
0.08978829929159... | {
"n_parameters": 69,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 20 |
0baf743d2b6cfc8b6e600b5313918496 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 3}, {"capaci... | {"states": [1, 15], "expectation_value": -0.20687303617465008, "params": [[0.06770000000000001], [-0.0574]], "bitstrings": ["111110", "110000"], "total_optimization_steps": 10, "probabilities": [0.018118948884791708, 0.018241260116443767], "optimization_time": 1.3819098472595215} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["110000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(7.90274469494533e-08) q[0];
ry(-0.7853982620761846) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2293320178321785) q[2];
h q[3];
ry(0.7853981303022892) q[3];
h q[4];
cx q[4], q[3];
ry(-0.7853981303022892) q[3];
cx q[4], q[3];
ry(0.6154797374613742) q[4];
cx q[3], 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIIZ",
"IIIZZI",
"IZZIII",
"IIZZII",
"ZIIIIZ",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-0.5,
-0.5,
-0.5,
-1.25,
-1.25,
1.25,
-0.75,
-1,
-0.25,
0,
0.25,
0.5,
0.5
] | 0.961538 | [
1.580548938989066e-7,
1.5707962936941358,
-1.5707964113743622,
1.5707962606045784,
1.2309594749227484,
2.458664035664357,
-6.36184063154341e-8,
-0.7758827152746062,
0.6829287142011918,
-0.7949136334328287,
-0.6410930540584571,
-0.852030693606311,
0.6410931018832451,
0.5966596957061975,
0... | {
"n_parameters": 19,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 341 |
4426156142540857195 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 6, 7], [1, 2], [2, 5, 7], [0, 5], [4, 6], [2, 3], [0, 3, 6], [5, 6], [0, 2], [0, 1, 6], [1, 3]]} | {"states": [163, 195], "expectation_value": -0.07628956722351213, "params": [[0.06720000000000001], [-0.0572]], "bitstrings": ["01011100", "00111100"], "total_optimization_steps": 10, "probabilities": [0.004210890452423226, 0.004254250600938197], "optimization_time": 2.4074594974517822} | 0.3333333333333333 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(7)) + 0.166... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333333, "smallest_bitstrings": ["00111100"], "largest_eigenvalue": 7.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(-0.2692984284685138) q[1];
h q[2];
h q[3];
cx q[3], q[1];
ry(0.2692984284685138) q[1];
cx q[3], q[1];
ry(0.713407468122499) q[1];
ry(-0.2051665426495816) q[3];
cx q[2], q[3];
ry(0.2051665426495816) q[3];
cx q[2], q[3];
ry(-0.010255268609112224) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[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[6], q[3];
rz(x0) q[3];
cx q[6], q[3];
cx q[6], q[7];
rz(x1) q[7];
cx q[6], q[7];
cx q[3], q... | null | {"circuits": [], "gradients": []} | [
"IZIIZIII",
"ZZIIIIII",
"ZIIIZIII",
"IZIIIIZI",
"IIIIZIZI",
"IIIIZZII",
"ZIIIIZII",
"IIIIIZZI",
"IZZIIIII",
"ZIZIIIII",
"IIZIIZII",
"IZIIIIIZ",
"IIIIZIIZ",
"IIIIIIZZ",
"IIIIIZIZ",
"IIZIIIIZ",
"IZIZIIII",
"IZIIIIII",
"IIIIZIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIII... | [
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.4999999999999998,
0.333333333333333... | 0.978198 | [
1.3944206365107874,
-1.681400128993806,
-0.4402655802464598,
0.6888502200595191,
-0.4761827950375644,
-0.5385968569370276,
1.2766660466264093,
0.6546605371893921,
-0.31637069216735436,
-0.4103330852991632,
0.713407468122499,
-0.020510537218224448,
0.24164686331313992,
0.3935624772437577,
... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -3.166666666666666,
"target_ratio": 0.97,
"target_value": -3.071666666666666
} | 27 |
4f1459804fbfe90f6b55ff417ea39134 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [88, 76], "expectation_value": -6.496464044051011, "params": null, "bitstrings": ["0100111", "0110011"], "total_optimization_steps": 29, "probabilities": [0.06634810230108766, 0.9303665171777402], "optimization_time": 27.42992639541626} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -2.5 * Z(1) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["0100111", "0110011"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
rx(0.6249541505534822) q[0];
rz(0.29574196597272184) q[0];
rx(0.18602301801291943) q[1];
rz(0.3286716223420502) q[1];
cx q[1], q[0];
rz(-0.0003671257503804065) q[0];
cx q[1], q[0];
rz(-1.5787466917811948) q[0];
ry(0.539719186262081) q[0];
rz(1.8599659408043827) q[0];
r... | 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[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",
"IZIIIZI",
"IZIIIIZ",
"IIIIZZI",
"IIIZIZI",
"IZIZIII",
"IIZIIZI",
"IZZIIII",
"IIZIZII",
"ZIIIIZI",
"ZZIIIII",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-0.5,
-2,
-1,
-1,
-1.5,
-2
] | 0.970855 | [
0.6249541505534824,
0.2953748402223417,
0.18602301801291943,
0.3286716223420502,
0.3979084555329145,
0.18302345114246685,
0.5016820616606871,
-0.0017851574524236358,
0.526187757812079,
-0.03409699676499954,
0.585288876579458,
0.003588422681991492,
0.39955915671984105,
-0.04626085797511217,... | {
"n_parameters": 181,
"n_qubits": 14,
"optimal_eigenvalue": -4.281250000000003,
"target_ratio": 0.97,
"target_value": -4.152812500000002
} | 43 |
d4330ca50c7e11a2ef645e484effbde2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "s... | {"states": [157, 153], "expectation_value": -15.480870537391183, "params": null, "bitstrings": ["101100010", "101100110"], "total_optimization_steps": 65, "probabilities": [0.11323638153713352, 0.8867634157811779], "optimization_time": 126.60103917121887} | -1.25 * (Z(0) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(0)) + 2.5 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(7)) + -1.25 * (Z(1) @ Z(5)) + -1.5 * (Z(1) @ Z(7)) + -1.5 * (Z(1) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(7)) + -0.75 * (Z(6) @ Z(5)) + -1.25 * (Z(6) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["101100110"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.2622882689348001) q[0];
rz(-0.12539551542716332) q[0];
rx(-0.6420858985691934) q[1];
rz(0.02450966034577462) q[1];
rx(-0.003948278541108552) q[2];
rz(-0.12725017189151266) q[2];
rx(-0.2450817342347413) q[3];
rz(-0.14497568647068348) q[3];
rx(0.4737983588182048) q[... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5709) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIIZIZ",
"IIIZIIIIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIZIIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIIIIZZII",
"IIIZIZIII",
"IZIIIZIII",
"IIZZIIIII",
"IZZIIIIII",
"IIZIIZIII",
"IIIIZIZII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"... | [
-1.25,
-0.25,
-0.5,
-0.75,
2.5,
-0.75,
-1.25,
-1.5,
-1.5,
-0.5,
-0.5,
-1,
-0.75,
-1.25,
-1,
-0.25,
-1,
-1,
-0.5,
-0.25,
1.25,
-0.75,
-0.75,
1.75,
0,
-3,
2.25
] | 0.97117 | [
-0.26228826893480006,
-0.36368508968482277,
-0.6420858985691934,
-0.1687732665922791,
-0.003948278541108552,
-0.10989513482201041,
-0.24508173423474128,
-0.23246293102332344,
0.4737983588182048,
0.06466018283837059,
-0.2620092086830588,
0.3056290733678249,
-0.1334774724548909,
-0.170745461... | {
"n_parameters": 178,
"n_qubits": 9,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 21 |
3257eb74c5059c972aa1cf1f57c7841b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [1876, 1881], "expectation_value": -3.1278333923168997, "params": [[[-0.0026000000000000003, 0.005], [0.7882, 0.014], [0.7951, 0.0383], [0.114, 0.0354], [0.7663000000000001, 0.0971], [0.1837, 0.1456], [0.5817, 0.4455], [0.5163, 0.1877], [0.15560000000000002, 0.38130000000000003], [0.7837000000000001, 0.5472]... | 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(... | 15 | 11 | 4 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.75, "smallest_bitstrings": ["00011001010", "00010110010", "01010100010", "01000100110", "00100100110", "00101000110", "10000100110", "100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.604794358462062) q[0];
h q[1];
ry(1.4676073177425042) q[1];
h q[2];
ry(-0.5077466166761001) q[2];
h q[3];
ry(1.4266241947204965) q[3];
h q[4];
ry(-1.604794358462062) q[4];
ry(-0.15549175033431428) q[5];
rz(-pi) q[5];
h q[6];
cx q[6], q[2];
ry(0.50774661667... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIIIZZZ",
"IIIIIIIZIZZ",
"IIIIIIIZZIZ",
"IIIIIIIZZZI",
"IIIIIIIZZZZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIIZZIIII",
"IIIIIZZIIIZ",
"IIIIZIIIIZI",
"IIIZIIIIIZI",
"IIZIIIIIIZI",
"IIIZZIIII... | [
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.... | 0.998653 | [
-1.604794358462062,
-1.4553258713263464,
1.4266241947204965,
1.4676073177425042,
-1.0154932333522002,
0.6855737295491413,
-0.5831377709843016,
0.6175056371217669,
-0.38038496147893763,
0.31761360388928944,
-0.14371098723256165,
0.08004258973152818,
0.123377621009911,
0.17468612591959368,
... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
ffe7b5f4782407d3e85a3f55af5889c1 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 6, "s... | {"states": [256, 183], "expectation_value": -2.0186394467824016, "params": [[0.0687, 0.064], [-0.0579, -0.0644]], "bitstrings": ["011111111", "101001000"], "total_optimization_steps": 10, "probabilities": [0.004229614917220969, 0.004415764074396405], "optimization_time": 3.5329318046569824} | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -1.75 * (Z(1) @ Z(6)) + -1.75 * (Z(3) @ Z(1)) + -1.25 * (Z(4) @ Z(6)) + -1.25 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(3)) + 2.0 * (Z(8) @ Z(0)) + -1.75 * (Z(8) @ Z(3)) + -0.75 * (Z(7) @ Z(4)) + -1.25 * Z(2) + -0.25 * Z(0) + -1.25 ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-12.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["101001000"], "largest_eigenvalue": 16.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.8342401797212022) q[0];
h q[1];
ry(1.5496241098090255) q[1];
h q[2];
ry(-0.8134812327530893) q[2];
h q[3];
ry(0.7748120549045128) q[3];
cx q[1], q[3];
ry(-0.7748120549045128) q[3];
cx q[1], q[3];
h q[4];
ry(0.6952604176041987) q[4];
h q[5];
ry(-0.739663059... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIZIIIIIZ",
"IIIIIIZZI",
"IIZIIIIZI",
"IIIIIZIZI",
"IIZIZIIII",
"IIIIZIIZI",
"IIIZIIZII",
"IIIZIZIII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IZIIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-0.5,
-1.25,
-0.75,
-1.75,
-1.75,
-1.25,
-1.25,
-0.5,
-0.25,
2,
-1.75,
-0.75,
-1.25,
-0.25,
-1.25,
2,
0.75,
-0.75,
-0.25,
0.25,
0.75
] | 0.979313 | [
1.5496241098090255,
-1.6684803594424045,
-1.6269624655061785,
1.3905208352083973,
1.550453941853096,
-1.4793261191708578,
1.0533544851530927,
-0.034849540509988605,
0.10902409872729314,
0.046541968081840954,
-0.09148475048676868,
0.09483930685092878,
-0.022908238681126583,
0.04709644411773... | {
"n_parameters": 21,
"n_qubits": 9,
"optimal_eigenvalue": -12.75,
"target_ratio": 0.97,
"target_value": -12.3675
} | 1 |
2192688870611528063 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 5], [3, 6], [2, 6], [0, 7], [3, 4], [2, 4]]} | {"states": [15, 53], "expectation_value": -2.573199395730267, "params": null, "bitstrings": ["11110000", "11001010"], "total_optimization_steps": 68, "probabilities": [0.16266954330078137, 0.5488071539967917], "optimization_time": 72.23541498184204} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(4) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["01001011", "10110100", "00110101", "10001110", "01110001", "11001010", "00001111", "11110000"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.4653092774960029) q[0];
h q[1];
ry(-0.4653092774960029) q[1];
h q[2];
ry(0.29091440485771564) q[2];
h q[3];
h q[4];
ry(-0.4653092774960029) q[4];
cx q[3], q[4];
ry(0.4653092774960029) q[4];
cx q[3], q[4];
ry(-0.26281816932571284) q[4];
h q[5];
cx q[5], q[1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIZIIIZI",
"IZIIZIII",
"IZIIIZII",
"ZIIIIIIZ",
"IIIZZIII",
"IIIZIZII",
"IIZIIIII",
"IIIIIIZI",
"IZIIIIII",
"IIIIZIII",
"IIIIIZII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.973691 | [
-0.9306185549920059,
0.5818288097154313,
0.8147276803587339,
-0.5256363386514257,
0.030603289729548913,
1.2228228072833742,
-0.17713151740275818,
0.8854287545278243,
0.22557433787816614,
0.5146318997747337,
-0.5479165534789622,
-0.4879403663983941,
-0.048886494604778084,
-0.132109918725247... | {
"n_parameters": 53,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 66 |
b3430a7a5a7846c97441f35820d47c84 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [10, 97], "expectation_value": -0.9126535924023671, "params": [[-0.06760000000000001, -0.07690000000000001], [0.0689, 0.0718]], "bitstrings": ["1110101", "0011110"], "total_optimization_steps": 10, "probabilities": [0.011209085996637946, 0.012258213313755704], "optimization_time": 3.632669448852539} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011110"], "largest_eigenvalue": 14.5} | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIIZ",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"ZIIIZII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
-1,
-1.5,
-1,
-0.5
] | 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 |
a5f43532e1723f6087760e0dbad85b40 | 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": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "target": 7}, {"source": 3, "ta... | {"states": [56, 184], "expectation_value": -2.821208321170676, "params": [0.8052, -0.0045000000000000005, 0.0146, -0.219, 0.8061, -0.0034000000000000002, 0.7965, 0.006, 0.796, 0.0609, 0.5843, 0.0881, 0.7854, 0.0263, -0.0142, 0.396, 0.8068000000000001, 0.0386, 0.0258, -0.2364, 0.8098000000000001, -0.003, 0.7963, -0.0149... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(5) + -1.5 * Z(7) + 0.0 * Z(2) + -0.5 * Z(4) + 0.0 * Z(6) | 4 | 8 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["01011001", "01010011", "01000111", "01111000", "01001101"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.06902538762803077) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.06902538762803077) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.06902538762803077) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.06902538762803077) q[2];
cx q[0], 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": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIZIIIZI",
"IIZIZIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIIIZII",
"ZIIZIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-0.5,
-1.5,
0,
-0.5,
0
] | 0.971024 | [
0.06902538762803077,
-1.3393452961497425,
0.8885669704223492,
-1.684941583646161,
-1.4324485039798671,
0.7894781332301564,
1.2549217022731878,
-1.8131259633031465,
1.439858056165493,
-0.5950565895064822,
-0.8478317544031627,
-0.18499509550347304,
-0.3500606076077326,
-1.0914618775797964,
... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -87,
"target_ratio": 0.97,
"target_value": -84.39
} | 65 |
7450469055704946013 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 9, 11], [2, 3, 7, 8, 9, 10], [3, 4, 7, 9, 10, 11], [0, 3, 5, 10, 12], [8, 3, 4, 6], [2, 3, 4], [0, 10, 6], [0, 2, 12], [0, 4, 5], [0, 3, 4], [2, 3, 5, 7, 10, 11], [1, 7], [3, 6, 7], [11, 6], [0, 10, 7], [2, 11, 12, 5], [8, 2, 10, 12], [2, 7, 8, 9,... | {"states": [7901, 7900], "expectation_value": -6.099405925134046, "params": [[[2.4962, 0.0017000000000000001, 0.0067, 0.0022], [0.0019, -0.38120000000000004, 1.5690000000000002, 0.0026000000000000003], [2.4881, 0.0027, 0.0049, 0.003], [-0.0056, -0.012700000000000001, 1.5688, 0.0082], [1.0676, 0.0054, 0.0056, 0.00450000... | 0.21666666666666667 * (Z(0) @ Z(9)) + 0.3333333333333333 * (Z(11) @ Z(9)) + 0.16666666666666666 * (Z(11) @ Z(0)) + 0.26666666666666666 * (Z(2) @ Z(9)) + 0.21666666666666667 * (Z(2) @ Z(0)) + 0.18333333333333332 * (Z(2) @ Z(11)) + 0.18333333333333332 * (Z(3) @ Z(9)) + 0.35 * (Z(3) @ Z(0)) + 0.13333333333333333 * (Z(3) @... | 12 | 13 | 1 | {"smallest_eigenvalues": [-7.433333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.416666666666666, "smallest_bitstrings": ["0000100100011"], "largest_eigenvalue": 33.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(2.684101681263839) q[0];
rz(0.2002630772018519) q[0];
ry(-0.2044791166888707) q[1];
rz(-0.4595186009507326) q[1];
cz q[1], q[0];
ry(2.907258940087263) q[1];
ry(3.339164495792321) q[2];
rz(-0.2398615168652679) q[2];
ry(0.1296390223427598) q[3];
rz(0.00321123487934596... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIZIIIIIIIIZ",
"IZIZIIIIIIIII",
"IZIIIIIIIIIIZ",
"IIIZIIIIIIZII",
"IIIIIIIIIIZIZ",
"IZIIIIIIIIZII",
"IIIZIIIIIZIII",
"IIIIIIIIIZIIZ",
"IZIIIIIIIZIII",
"IIIIIIIIIZZII",
"IIIZIZIIIIIII",
"IIIIIZIIIIIIZ",
"IZIIIZIIIIIII",
"IIIIIZIIIIZII",
"IIIIIZIIIZIII",
"IIIZZIIIIIIII",
"IIIIZIIIIII... | [
0.21666666666666667,
0.3333333333333333,
0.16666666666666666,
0.26666666666666666,
0.21666666666666667,
0.18333333333333332,
0.18333333333333332,
0.35,
0.13333333333333333,
0.2833333333333333,
0.16666666666666666,
0.21666666666666667,
0.13333333333333333,
0.15000000000000002,
0.316666666... | 0.970165 | [
2.684101681263839,
0.2002630772018519,
-0.2044791166888707,
-0.4595186009507326,
3.339164495792321,
-0.2398615168652679,
0.1296390223427598,
0.0032112348793459644,
0.11269369360069376,
-0.04255612451027201,
0.8649916830961,
-0.4068750500232517,
3.0759249093459875,
0.12635120768071864,
0.... | {
"n_parameters": 34,
"n_qubits": 13,
"optimal_eigenvalue": -7.433333333333334,
"target_ratio": 0.97,
"target_value": -7.210333333333334
} | 18 |
-6241743977296484001 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[10, 4, 6], [8, 1, 10, 9], [1, 5, 8, 9, 12], [0, 4, 8, 10, 11, 12], [0, 1, 6, 7, 10, 11, 12], [4, 5, 7, 9, 12], [0, 1, 4, 7, 9, 11], [8, 2, 10, 6], [0, 3, 4, 6, 7, 9, 12], [0, 1, 2, 3, 4, 10, 12], [1, 10, 5], [1, 2, 3, 5, 6, 7, 8], [0, 3, 4, 7, 8, 9, ... | {"states": [7162, 7161], "expectation_value": -7.018549970734376, "params": [[[0.7836000000000001, -0.0019], [3.1392, 0.0059], [-0.0017000000000000001, 0.0023], [-0.7258, 3.1448], [-0.0017000000000000001, 0.0024000000000000002], [-0.0027, 0.0024000000000000002], [0.2519, 0.05], [0.0134, 0.2728], [3.1367000000000003, 3.... | 0.3547619047619047 * (Z(2) @ Z(7)) + 0.21428571428571427 * (Z(9) @ Z(7)) + 0.47380952380952374 * (Z(9) @ Z(2)) + 0.3976190476190476 * (Z(11) @ Z(7)) + 0.3571428571428571 * (Z(11) @ Z(2)) + 0.14047619047619048 * (Z(11) @ Z(9)) + 0.21428571428571427 * (Z(1) @ Z(7)) + 0.3309523809523809 * (Z(1) @ Z(2)) + 0.154761904761904... | 15 | 13 | 1 | {"smallest_eigenvalues": [-7.819047619047618], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.795238095238094, "smallest_bitstrings": ["0010000000110"], "largest_eigenvalue": 40.00000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(-0.06423045997362109) q[0];
ry(3.028256967194678) q[1];
ry(-0.14024064953543464) q[2];
ry(-0.9514370315829592) q[3];
ry(-0.14024064953543464) q[4];
ry(0.13557368315553592) q[5];
ry(0.1335420326295103) q[6];
ry(0.09373083503351569) q[7];
ry(3.1885415647197326) q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIZII",
"IIIZIZIIIIIII",
"IIIZIIIIIIZII",
"IZIIIZIIIIIII",
"IZIIIIIIIIZII",
"IZIZIIIIIIIII",
"IIIIIZIIIIIZI",
"IIIIIIIIIIZZI",
"IIIZIIIIIIIZI",
"IZIIIIIIIIIZI",
"ZIIIIZIIIIIII",
"ZIIIIIIIIIZII",
"ZIIZIIIIIIIII",
"ZZIIIIIIIIIII",
"ZIIIIIIIIIIZI",
"IIIIZZIIIIIII",
"IIIIZIIIIIZ... | [
0.3547619047619047,
0.21428571428571427,
0.47380952380952374,
0.3976190476190476,
0.3571428571428571,
0.14047619047619048,
0.21428571428571427,
0.3309523809523809,
0.15476190476190474,
0.3071428571428571,
0.3119047619047619,
0.3238095238095238,
0.13095238095238096,
0.4309523809523809,
0.... | 0.970538 | [
-0.06423045997362109,
3.028256967194678,
-0.14024064953543464,
-0.9514370315829592,
0.13557368315553592,
0.1335420326295103,
0.09373083503351569,
3.1885415647197326,
-0.17579612191099991,
0.05441057408227726,
3.1264265057734075,
2.778929416888922,
0.07055882932945315,
-0.05061526578925754,... | {
"n_parameters": 24,
"n_qubits": 13,
"optimal_eigenvalue": -7.819047619047618,
"target_ratio": 0.97,
"target_value": -7.584476190476189
} | 17 |
b7602418da2fb1da8d0e3bf56e052253 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, ... | {"states": [436, 430], "expectation_value": -1.0618379346402913, "params": [[[0.15, -0.2084, 0.008700000000000001, 0.009300000000000001], [0.28450000000000003, 0.23240000000000002, 0.2899, -0.522], [0.6621, 0.5046, 0.0205, 0.5555], [0.6982, -0.4439, 0.6987, -0.0055000000000000005], [0.6953, 0.0847, 0.1709, 0.3259], [0.... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 11 | 10 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.25, "smallest_bitstrings": ["0010101001", "1010001001", "1010000110", "0010100110", "1000011001", "1000010110", "1000010011", "1001010001", "0001110001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.19413541781266302) q[0];
rz(0.4737143075248884) q[0];
rx(1.3481450265531563) q[1];
rz(0.7101312274980032) q[1];
rx(0.08114689032242231) q[2];
rz(0.39298482269195745) q[2];
rx(0.05382342065610063) q[3];
rz(-0.4688239600116697) q[3];
rx(1.4947674538218447) 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",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIIZIIIZ",
"IIIIZZIIII",
"IIIZIZIIII",
"IIZIIZIIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IIIZZZIIII",
"IIZIZZIIII"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.125,
0.125,
-0.1... | 0.970244 | [
-0.19413541781266297,
0.4032852255685598,
1.3481450265531563,
0.35847725960509413,
0.08114689032242232,
0.23884228912775574,
0.05382342065610062,
-0.3631398892310509,
1.4947674538218447,
0.14683342555344495,
1.7859017636948948,
0.04798825882582202,
1.7853225188419513,
0.28173152310392174,
... | {
"n_parameters": 38,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 21 |
8f10d6fbc1f6100cc49a5e43ecae2ea3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 5}, {"weight": 13, "source": 1, "target": 6}, {"weight": 6, "source": 2, "target": 3}, {"... | {"states": [110, 109], "expectation_value": -22.48545817827931, "params": [[0.04, -0.006, -0.0621, -0.0227], [-0.052500000000000005, -0.038400000000000004, 0.0521, 0.0648]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.015931018686721213, 0.021245346724364598], "optimizati... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 9.5 * Z(1) + 1.0 * Z(0) + 6.5 * Z(2) + 14.5 * Z(4) + 3.0... | 1 | 8 | 4 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 125.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.15608686303447616) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.15608686303447616) q[2];
cx q[0], q[2];
rz(-0.7850017041664485) q[0];
rx(-0.046842893956655196) q[0];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.15608686303447616) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
9.5,
1,
6.5,
14.5,
3,
14,
11,
18
] | 0.971452 | [
-0.15608686303447616,
0.46652307578517876,
-0.7850017041664477,
0.9199353917160591,
0.9147883167695685,
0.09053092803155553,
1.1194711629506844,
0.9234693794083586,
1.335718423763292,
-0.046842893956655175,
0.10463370217857586,
0.4928843088586032,
-0.5179596281193316,
1.0637372107273424,
... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -63.5,
"target_ratio": 0.97,
"target_value": -61.595
} | 51 |
-970846385962563872 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 1, 5], [9, 7], [3, 5, 7], [8, 2], [2, 3, 7], [3, 6], [1, 6], [2, 4], [4, 6, 7], [8, 0], [9, 4], [1, 2], [3, 4], [2, 6], [1, 9], [1, 7], [8, 6, 7], [8, 9, 3], [0, 9, 3]]} | {"states": [356, 358], "expectation_value": -2.866924107238944, "params": [[[0.0016, 0.0074, 0.0048000000000000004, 0.0068000000000000005], [1.0488, -0.0027, 1.0511000000000001, 0.0046], [0.0015, 0.0014, 0.0023, 0.0088], [0.9574, -0.0025, 1.0957000000000001, 0.005200000000000001], [1.5954000000000002, 0.003100000000000... | 0.16666666666666666 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.5 * (Z(9) @ Z(1)) + 0.16666666666666666 * (Z(9) @ Z(8)) + 0.5 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(8)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(9)) + 0.16666666666666666 * (Z(3... | 12 | 10 | 1 | {"smallest_eigenvalues": [-4.999999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.666666666666665, "smallest_bitstrings": ["1010011001"], "largest_eigenvalue": 12.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.008422663160770408) q[0];
rz(0.16664749332923864) q[0];
ry(0.8580939061980383) q[1];
rz(-0.05617514905329601) q[1];
cz q[1], q[0];
ry(2.208128995230684) q[1];
ry(0.021464483476683546) q[2];
rz(-0.7375500734032305) q[2];
ry(1.470345837508975) q[3];
rz(-0.1551535413... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IZIIIIIIZI",
"IIIIZIIIZI",
"IZIIZIIIII",
"ZIIIIIIIZI",
"ZZIIIIIIII",
"IIZIIIIIZI",
"IZZIIIIIII",
"IIZIZIIIII",
"ZIZIIIIIII",
"IZIIIIZIII",
"IIIIZIZIII",
"ZIIIIIZIII",
"IIZIIIZIII",
"IIIIIIIZZI",
"IZIIIIIZII",
"IIZIIIIZII",
"IIIIIIZZII",
"IIIZIIIIZI",
"IZIZIIIIII",
"IIZZIIIIII"... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
... | 0.971415 | [
0.008422663160770408,
0.16664749332923864,
0.8580939061980383,
-0.05617514905329601,
0.021464483476683546,
-0.7375500734032305,
1.470345837508975,
-0.1551535413521753,
2.93817586946009,
0.14847707500575674,
1.0481720840549036,
-0.588665491436716,
0.022832151343725435,
-0.3164245389875291,
... | {
"n_parameters": 27,
"n_qubits": 10,
"optimal_eigenvalue": -4.999999999999999,
"target_ratio": 0.97,
"target_value": -4.849999999999999
} | 20 |
b4386623ef42d59378644c97d49e9610 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [94, 93], "expectation_value": -11.84997557027803, "params": [[-0.039400000000000004, -0.0246], [0.061200000000000004, 0.0579]], "bitstrings": ["10100001", "10100010"], "total_optimization_steps": 10, "probabilities": [0.010780173600121543, 0.013043107933083041], "optimization_time": 2.890977621078491} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 2.0 * Z(0) + 7.0 * Z(2) + 5.5 * Z(3) + 18.... | 1 | 8 | 2 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.0, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 132.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.08721884646855041) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.08721884646855041) q[2];
cx q[1], q[2];
h q[3];
cx q[2], q[3];
rz(0.08721884646855041) q[3];
cx q[2], q[3];
rz(-1.0730503463760335) q[3];
rx(1.105039714593039) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZZII",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
11,
2,
7,
5.5,
18,
19,
5,
10.5
] | 0.977482 | [
0.08721884646855041,
-1.310400955301092,
0.8609257949685372,
1.1797804650125223,
-1.0730503463760335,
-1.7402874989964554,
-1.2157574997078007,
0.7222803303040167,
-1.250584025873095,
1.1050397145930393,
-0.2453067931826156,
-0.48065206144719297,
0.5272825792139454,
-0.38909403682682453,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 62 |
-5090129538137167010 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 2, 3], [0, 1, 2], [1, 2, 3]]} | {"states": [15, 13], "expectation_value": -0.5045278720823612, "params": [[[2.6401000000000003, 0.005200000000000001], [2.6295, 0.007200000000000001], [1.5377, 0.0054], [2.6367000000000003, 0.0011]]], "bitstrings": ["0000", "0010"], "total_optimization_steps": 270, "probabilities": [0.3981091582055926, 0.42534204055938... | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.5 * Z(2) + 0.3333333333333333 * Z(0) + 0.3333333333333333 * Z(3) + 0.3333333333333333 * Z(1) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.6666666666666667, "smallest_bitstrings": ["0010"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.7554298887848566) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.7554298887848566) q[3];
cx q[2], q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.7554298887848566) q[1];
cx q[2], q[1];
rz(-0.31667031327007233) q[2];
rx(-0.931499836... | 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[4] c;
qubit[4] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q[2];
rz(x5) q[2];
rx(x6) q[3];
rz(x7) q[... | null | {"circuits": [], "gradients": []} | [
"IZIZ",
"ZZII",
"ZIIZ",
"IZZI",
"IIZZ",
"ZIZI",
"IZII",
"IIIZ",
"ZIII",
"IIZI"
] | [
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333
] | 0.68282 | [
0.7554298887848566,
-0.14311880393794585,
-0.3166703132700724,
-0.9314998364778798
] | {
"n_parameters": 4,
"n_qubits": 4,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 102 |
8105489110330658096 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4, 5, 6], [0, 1, 3], [1, 6], [1, 3, 4], [0, 5, 6], [1, 2, 4, 5], [0, 1, 4], [0, 2, 3, 6], [0, 2, 4, 6]]} | {"states": [122, 79], "expectation_value": -1.2938319447340416, "params": [[-0.3765], [0.36560000000000004]], "bitstrings": ["0000101", "0110000"], "total_optimization_steps": 40, "probabilities": [0.0256745618103995, 0.02634204206626942], "optimization_time": 1.7327098846435547} | 0.25 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + 0.25 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(0) @ Z(6)) + 0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.416666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.333333333333333, "smallest_bitstrings": ["0110000"], "largest_eigenvalue": 8.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.4902739371681701) q[0];
h q[1];
ry(-0.5076598910994833) q[1];
h q[2];
ry(-0.2763219664423403) q[2];
h q[3];
ry(0.4963401758012073) q[3];
h q[4];
ry(1.3810660643208355) q[4];
h q[5];
cx q[5], q[2];
ry(0.2763219664423403) q[2];
cx q[5], q[2];
ry(-0.2369814394... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIZIZII",
"IZZIIII",
"IZIIZII",
"ZIZIIII",
"ZIIIZII",
"ZZIIIII",
"IIZIIIZ",
"IIIIZIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIZIIZI",
"IIIIZZI",
"IZIIIZI",
"ZIIIIZI",
"IIIIIZZ",
"IIZZIII",
"IIIZZII",
"ZIIZIII",
"IIIZIIZ",
"IIIZIZI",
"IIZIIII",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"III... | [
0.25,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.25,
0.25,
0.25,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.41666666666666663,
0.08333333333333333,
0.08333333333333333,
0.5,
0.3333333333333333,
0.16666666666666666,
0.08333333333333333,
0.0... | 0.970045 | [
1.4902739371681701,
1.3810660643208355,
-1.0153197821989666,
0.972437303974625,
-0.4694589791275905,
0.5607235905835485,
0.9926803516024146,
-0.2708843564593927,
-0.5526439328846806,
0.23747440289501945,
-0.4739628788436391,
0.24173147757051125,
0.17675640189108102,
0.24739135767402098,
... | {
"n_parameters": 33,
"n_qubits": 7,
"optimal_eigenvalue": -2.416666666666667,
"target_ratio": 0.97,
"target_value": -2.3441666666666667
} | 5 |
6322410991403791746 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 7], [6, 7], [5, 6], [2, 5], [0, 5], [1, 4], [3, 5]]} | {"states": [185, 241], "expectation_value": -0.05561837113993349, "params": [[-0.0635], [0.0636]], "bitstrings": ["01000110", "00001110"], "total_optimization_steps": 10, "probabilities": [0.004225127572194068, 0.004225127572194068], "optimization_time": 0.5159420967102051} | 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.0 * Z(7) + 0.0 * Z(5) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -1.5, "smallest_bitstrings": ["10111001", "10111010", "01000101", "11110001", "11110010", "11110011", "10111011", "00001101", "00001100", "00001110", "01000110... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.5591436597965866) q[0];
h q[1];
ry(-0.27790248197932377) q[1];
h q[2];
ry(0.7158851184098305) q[2];
h q[3];
ry(0.7158851184098305) q[3];
h q[4];
cx q[4], q[1];
ry(0.27790248197932377) q[1];
cx q[4], q[1];
ry(-0.5001041322399669) q[1];
ry(1.4782220999434723)... | 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[5];
rz(x0) q[5];
cx q[7], q[5];
cx q[7], q[6];
rz(x0) q[6];
cx q[7], q[6];
cx q[5], q[6];
rz(x0) q[6];
cx q[5], q[6];
cx q[5]... | null | {"circuits": [], "gradients": []} | [
"ZIZIIIII",
"ZZIIIIII",
"IZZIIIII",
"IIZIIZII",
"IIZIIIIZ",
"IIIZIIZI",
"IIZIZIII",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.97044 | [
-0.5558049639586475,
1.4462592575734443,
-0.25565491313307975,
1.431770236819661,
-0.4088298547956041,
1.1182873195931733,
-0.4979799073268414,
0.06392568474005596,
-0.004248449826250986,
0.4578196062438291,
0.24757604559391858,
-0.0020084538740482785,
-0.25230150809162216,
0.2213572509146... | {
"n_parameters": 52,
"n_qubits": 8,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 27 |
936d7cf5c9c0d9de588b63bd63459921 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 6}, {"sour... | {"states": [255, 240], "expectation_value": -1.0523539729603013, "params": [[0.07200000000000001], [-0.063]], "bitstrings": ["00000000", "00001111"], "total_optimization_steps": 10, "probabilities": [0.005552034369847192, 0.005816582978101621], "optimization_time": 0.6185593605041504} | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + -2.0 * (Z(4) @ Z(6)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(1)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["00001111"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.16209315168648422) q[0];
rz(0.2049635155108535) q[0];
rx(-0.06908476272071348) q[1];
rz(0.17003760597816747) q[1];
rx(-0.06908476272071348) q[2];
rz(0.17003760597816747) q[2];
rx(2.832931282188609) q[3];
rz(0.32004345762386466) q[3];
rx(0.08821551024664362) 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[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[0], q... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZIZI",
"IZIZIIII",
"IZZIIIII",
"IIZZIIII",
"ZZIIIIII",
"ZIIZIIII",
"ZIZIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IZIIIIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-2,
-2,
0.5,
0.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
1,
-1.5
] | 0.976966 | [
-0.16209315168648422,
0.2049635155108535,
-0.06908476272071348,
0.17003760597816747,
2.832931282188609,
0.32004345762386466,
0.08821551024664362,
-0.25475248494628866,
0.11106246048053521,
0.19248362813176026,
0.2787492374480685,
-0.17478285227688492,
-0.02901511194697162,
0.04553702601249... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 10 |
18eef7556e7c99f2056daf5370482c12 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 3}, {"weight": 20, "source": 0, "target": 5}, {"weight": 18, "source": 1, "tar... | {"states": [238, 234], "expectation_value": -82.51423088997736, "params": [0.38570000000000004, 0.5869, 1.5888, 0.0051, 1.5823, -0.0018000000000000002, 1.5818, 0.2881, 0.0609, 0.7482000000000001, 1.5834000000000001, 0.2197, 0.7791, 0.5534, 1.5889, 0.41440000000000005, -0.0022, 1.0048000000000001, 0.3871, 0.0008, 1.58, ... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 170.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-1.910725201830011) q[0];
rz(-pi) q[0];
h q[1];
ry(14.226814631084332) q[1];
rz(-pi) q[2];
ry(-2.8276055261302573) q[2];
rz(-pi) q[3];
ry(-0.6037335772354969) q[3];
h q[4];
ry(-2.503200618475903) q[5];
rz(-pi) q[5];
cx q[1], q[5];
ry(-0.634351839760383) q[5];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
15,
5.5,
23.5,
18,
0.5,
22.5,
13,
5.5,
-1
] | 0.972353 | [
23.579116185633968,
63.12990552371649,
12.80359732253481,
14.226814631084332,
1.268703679520766,
-17.389883838771233,
4.50366295300341,
0.28630146122490274,
2.0891079396670342,
-41.664855259309064,
-18.144190662538225,
50.08291549902295,
-0.7897217290145451,
6.876816994677622,
49.5161117... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -89,
"target_ratio": 0.97,
"target_value": -86.33
} | 104 |
a45e2c80deb776df539ab538621f261c | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 4, "... | {"states": [1023, 4095], "expectation_value": -1.329340437326369, "params": [[-0.0819], [0.0751]], "bitstrings": ["110000000000", "000000000000"], "total_optimization_steps": 10, "probabilities": [0.0004682680531901372, 0.0004682680531901372], "optimization_time": 2.339029550552368} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(5)) + -2.0 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + -1.0 * (Z(10) @ Z(11)) + 1.0 * Z(1) + -1.0 * Z(0... | 1 | 12 | 1 | {"smallest_eigenvalues": [-18.0, -18.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.0, "smallest_bitstrings": ["110000000000", "000000000000"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.1698060870185776) q[0];
cx q[1], q[0];
rz(1.2790438539880569) q[0];
rx(0.9069033389773336) q[0];
rz(0.7165307247583241) q[1];
rx(0.9069033389773336) q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(0.7667598670431358) q[2];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIZIIZII",
"IIIIIIZIZIII",
"IIIIIIIIZZII",
"IIIIIIZZIIII",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIZZIIIIII",
"IIZIZIIIIIII",
"IIZIIZIIIIII",
"IIIZZIIIIIII",
"IIZZIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIZIIIII",
"IIIIIIIIIZII",
"IIIIIIIIZ... | [
-1.5,
-2,
-2,
0.5,
-2,
0.5,
-1.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
-1,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.542473 | [
1.1698060870185776,
0.7667598670431358,
0.13434362156677312,
1.279043853988057,
0.7165307247583241,
0.9069033389773336
] | {
"n_parameters": 6,
"n_qubits": 12,
"optimal_eigenvalue": -18,
"target_ratio": 0.97,
"target_value": -17.46
} | 169 |
e2466d0e59f9ae9b15e99011693e125f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [80, 82], "expectation_value": -4.571935340393883, "params": null, "bitstrings": ["0101111", "0101101"], "total_optimization_steps": 36, "probabilities": [0.13263655759363732, 0.6774959132700998], "optimization_time": 29.498170614242554} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(6) + 0.0 * Z(0) + -1.5 * Z(1) + -1.0 * Z(2) + -1.5 * Z(3) + -1.5 * Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0011011", "0101101"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
rz(-pi) q[1];
ry(-0.01566938174441882) q[1];
h q[2];
h q[3];
ry(-1.382312814660902) q[3];
h q[4];
ry(-0.32749804696590257) q[4];
cx q[2], q[4];
ry(0.32749804696590257) q[4];
cx q[2], q[4];
ry(1.126452676106575) q[2];
ry(-0.8310830393541792) q[4];
ry(-0.626764594... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"ZIIIIIZ",
"ZIIIIZI",
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"ZZIIIII",
"IZIIIZI",
"IZIZIII",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1.5,
-1,
-1.5,
-1.5,
-1
] | 0.972185 | [
-1.382312814660902,
-1.6193805840722992,
-1.290575397728871,
-0.6549960939318051,
1.126452676106575,
-0.6967689800025078,
0.5341433193132382,
0.24374272147914156,
-0.26862811870334274,
-0.2199899576074521,
0.693087330399002,
2.0516911249923644,
-0.4184533366192725,
-0.1657277228626028,
0... | {
"n_parameters": 23,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 8 |
7319613329014537910 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 3, 5, 6, 7, 8], [0, 2, 4, 5, 6, 7, 8], [0, 1, 3, 4, 5, 6, 7, 8], [0, 1, 2, 3, 4, 6, 7, 8], [1, 2, 4, 5, 7], [0, 1, 2, 5, 6], [0, 2, 3, 5, 7]]} | {"states": [446, 505], "expectation_value": -0.9133215532203757, "params": [[-0.48450000000000004], [0.467]], "bitstrings": ["001000001", "000000110"], "total_optimization_steps": 50, "probabilities": [0.006135146964580524, 0.00617371972513469], "optimization_time": 6.556751012802124} | 0.14166666666666666 * (Z(1) @ Z(2)) + 0.09166666666666667 * (Z(3) @ Z(2)) + 0.05952380952380952 * (Z(3) @ Z(1)) + 0.19761904761904764 * (Z(5) @ Z(2)) + 0.14166666666666666 * (Z(5) @ Z(1)) + 0.09166666666666667 * (Z(5) @ Z(3)) + 0.11547619047619047 * (Z(6) @ Z(2)) + 0.10952380952380952 * (Z(6) @ Z(1)) + 0.05952380952380... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.338095238095238], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.3202380952380952, "smallest_bitstrings": ["000000110"], "largest_eigenvalue": 6.9999999999999964} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-3.0402648152519923e-07) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-2.3487840969212785e-07) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(1.482522071609414e-08) q[3];
cx q[1], q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-9.69998378623... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIZIIZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZIIIZII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"... | [
0.14166666666666666,
0.09166666666666667,
0.05952380952380952,
0.19761904761904764,
0.14166666666666666,
0.09166666666666667,
0.11547619047619047,
0.10952380952380952,
0.05952380952380952,
0.11547619047619047,
0.16547619047619047,
0.10952380952380952,
0.10952380952380952,
0.165476190476190... | 0.930467 | [
-3.0402648152519923e-7,
-2.3487840969212785e-7,
1.482522071609414e-8,
-9.699983786236109e-8,
-1.4624222768023328e-7,
6.700438665380125e-9,
-2.2342290125171957e-7,
6.491603821867479e-8,
-2.8509348758392226e-8,
2.645115866691773e-8,
-7.408279240870708e-8,
1.1074871076034427,
-1.570796331409515... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -1.338095238095238,
"target_ratio": 0.97,
"target_value": -1.2979523809523807
} | 484 |
cb943fcd43d9f749780630b91be79506 | 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": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "s... | {"states": [255, 223], "expectation_value": -1.0171357481371475, "params": [[0.0741, 0.07970000000000001], [-0.07440000000000001, -0.08070000000000001]], "bitstrings": ["100000000", "100100000"], "total_optimization_steps": 10, "probabilities": [0.004392648303372852, 0.004765122934081497], "optimization_time": 3.960686... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(8)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(7) @ Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["100100000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.0023431358542768677) q[0];
h q[1];
ry(1.0573482311132871) q[1];
h q[2];
ry(0.7381916387806311) q[2];
h q[3];
ry(-1.530172209429997) q[3];
h q[4];
ry(-0.12458245307790583) q[4];
h q[5];
cx q[5], q[4];
ry(0.12458245307790583) q[4];
cx q[5], q[4];
h q[6];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZZII",
"IIZIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIZII",
"IIIIZIIZI",
"IIIIZZIII",
"ZIIIZIIII",
"IIZZIIIII",
"IIIZZIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZZIIIIIII",
"IZIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"... | [
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.75,
1,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
-0.5,
-0.25,
-0.75,
0.25,
-0.25,
-1.75,
0.75,
0.25,
-0.25,
1,
-0.25,
0.25
] | 0.971464 | [
-1.530172209429997,
-0.24916490615581166,
-0.004686271708553735,
1.5008255461260471,
-0.9720458421928581,
1.4763832775612622,
1.178692764422778,
0.13200497549453394,
0.8917603156219556,
2.1146964622265743,
-0.0033878110834060365,
0.17746269747617008,
-0.3576571302642504,
0.0906979216744569... | {
"n_parameters": 50,
"n_qubits": 9,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 170 |
f7f48a306b224c39407553aaba18b93b | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "... | {"states": [4095, 4079], "expectation_value": -2.303938975170785, "params": [[-0.0834], [0.0801]], "bitstrings": ["000000000000", "000000010000"], "total_optimization_steps": 10, "probabilities": [0.0006275412588024356, 0.0006444381817351164], "optimization_time": 2.454949140548706} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + 1.0 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + -2.0 * (Z(10) @ Z(8)) + 1.0 * (Z(11) @ Z(9)) + -2.0 * (Z(11) @ Z(8))... | 1 | 12 | 1 | {"smallest_eigenvalues": [-26.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.5, "smallest_bitstrings": ["000000010000"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.04105679405427482) q[0];
ry(-0.04604250598936918) q[1];
ry(-0.08999752859262733) q[2];
ry(-0.10873362766441445) q[3];
ry(-0.027018826216076118) q[4];
ry(-0.027018826216076118) q[5];
ry(0.04105679405427482) q[6];
ry(-1.649663906962243) q[7];
ry(0.04475865011177218)... | 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[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZIZIIII",
"IIIIIZIIZIII",
"IIIIIZZIIIII",
"IIZZIIIIIIII",
"IZZIIIIIIIII",
"IZIZIIIIIIII",
"ZIZIIIIIIIII",
"ZIIZIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIII... | [
-1.5,
0.5,
-1.5,
-2,
-2,
-2,
-2,
1,
-2,
-2,
-2,
-2,
1,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.973771 | [
0.04105679405427482,
-0.04604250598936918,
-0.08999752859262733,
-0.10873362766441445,
-0.027018826216076118,
-1.649663906962243,
0.04475865011177218,
3.1469688762443,
0.04115521546027365,
-0.003653552066323479,
0.06807407466308885,
-0.014524707925771384,
0.09895380239260013,
-0.0412423864... | {
"n_parameters": 14,
"n_qubits": 12,
"optimal_eigenvalue": -26.5,
"target_ratio": 0.97,
"target_value": -25.705
} | 2 |
c12dc8bfc0d8e8bc2e65cda825a741ab | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 2}]} | {"states": [3, 1], "expectation_value": -0.020899636813369246, "params": [[0.0551], [-0.045000000000000005]], "bitstrings": ["100", "110"], "total_optimization_steps": 10, "probabilities": [0.1268306275570294, 0.12870802860104613], "optimization_time": 0.5888874530792236} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + 0.75 * (Z(2) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) | 1 | 3 | 1 | {"smallest_eigenvalues": [-2.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0, "smallest_bitstrings": ["110"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.98693634562561) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.5702754027205156) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.5702754027205152) q[1];
rx(0.1809670407241956) q[1];
rz(-0.0605909341297176) q[2];
cx q[0], q[2];
rz(0.5702754... | 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[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], q[0];
cx q[1], q[2];
rz(x1) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x2) q[2];
cx q[0], q[2];
rz(x1) ... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} | [
"IZZ",
"ZZI",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
-0.5,
-0.25,
0.75,
-0.25,
-0.25,
0.5
] | 0.970753 | [
0.98693634562561,
0.5702754027205156,
-0.0605909341297176,
0.01052034470793032,
0.1809670407241956,
-0.4210489548362983,
0.17941461010927579,
-0.5310091518833534,
-0.24571524346239182,
1.169259756964969,
0.8653272313101511,
0.8751350731179494,
-0.4970495411829845,
-1.6475907910109493,
1.... | {
"n_parameters": 15,
"n_qubits": 3,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 68 |
fbed7eb759f2b5af245b5b20e03cfb23 | 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": [6, 34], "expectation_value": -1.604051161976505, "params": [[0.15910000000000002], [-0.154]], "bitstrings": ["111001", "011101"], "total_optimization_steps": 20, "probabilities": [0.02500084055004233, 0.02500084055004233], "optimization_time": 1.513460397720337} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * Z(1) + -1.5 * Z(0) + -2.0 * Z(2) + -1.5 * Z(3) + ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["111100", "111001", "011101"], "largest_eigenvalue": 15.0} | 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] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IZIIZI",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-2,
-1.5,
-1.5,
-0.5
] | 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 |
1d579e37a468bd880bcb1092848cc668 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 4, "source": 4, "target": 1... | {"states": [63, 1], "expectation_value": -1.7483477518696713, "params": [[-0.0546, -0.029900000000000003, -0.059000000000000004, -0.0375], [0.0782, 0.0386, 0.0654, 0.053200000000000004]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.016228362234399538, 0.016231984551424633],... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + 0.75 * (Z(6) @ Z(0)) + -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(6) + -2.0 * Z(3) + 0.0 * Z(2) + 2.0 * Z(4) + 1.0 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -4.25, "smallest_bitstrings": ["1101010", "1101000", "1001000", "1000000", "1100000", "1001010", "1011000", "1011010", "1111100", "1111110", "11110... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6941259116557518) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.7530958440334765) q[3];
h q[4];
ry(1.6275648338062378) q[4];
cx q[4], q[3];
ry(0.7530958440334765) q[3];
cx q[4], q[3];
h q[5];
h q[6];
cx q[6], q[0];
ry(0.6941259116557518) q[0];
cx q[6], q[0];
ry(-0.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIZII",
"IIZIIII",
"IZIIIII"
] | [
-0.5,
-0.5,
0.75,
-1,
-1,
-1,
-1,
-1,
-0.25,
0.25,
-2,
0,
2,
1
] | 0.975008 | [
1.6275648338062378,
-1.506191688066953,
-1.3882518233115035,
1.0437940616691472,
-0.6850023722970648,
0.430917419283484,
-0.20458261231373315,
0.03557786349020009,
-0.11303820837731039,
0.224256866592883,
-0.03744596523400791,
-0.08823505966052633,
0.07360138473543015
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 1 |
fe730bb1674e126efa753a18eada3bbc | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [1950, 1942], "expectation_value": -2.3165816220433104, "params": [0.4001, 0.0019, 0.4, 0.0022, 0.39690000000000003, 0.009000000000000001, 0.4025, 0.0038, 0.39330000000000004, 0.0067, 0.39430000000000004, 0.0046, 0.39430000000000004, 0.008, 0.397, 0.0054, 0.16490000000000002, -0.13290000000000002, 0.163, -0.... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 7 | 11 | 3 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.875, "smallest_bitstrings": ["00001111000", "01000101001", "01000100011", "10000101001", "00010101001", "000... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.6100838668909585) q[0];
rz(-0.04373243666931259) q[0];
rx(0.8054702772237696) q[1];
rz(-0.06526501051352748) q[1];
cx q[1], q[0];
rz(0.01781354599146161) q[0];
cx q[1], q[0];
rz(1.4445189281939292) q[0];
ry(0.8844928308941279) q[0];
rz(-1.6906148453320522) q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIZIIZI",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIIIIZZZ",
"IIIIIIIZIZZ",
"IIIIIIZIIZZ",
"IIIIIIIZZIZ",
"IIIIIIZIZIZ",
"IIIIIIZZIIZ",
"IIIIIIIZZZI",
"IIIIIIZIZZI",
"IIIIIIZZI... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25... | 0.974681 | [
0.6100838668909583,
-0.025918890677850925,
0.8054702772237696,
-0.06526501051352748,
0.41181063897534304,
-0.0661285481236261,
0.45495168779832296,
0.06118531012173675,
-0.32014736519723913,
-0.28419822749026225,
0.007244127208319684,
0.36509429911698293,
0.5082566839359527,
-0.08040366798... | {
"n_parameters": 145,
"n_qubits": 11,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 10 |
00118ab6930cdbf8ae812be8d2492bc7 | 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": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [829, 957], "expectation_value": -2.436630950994476, "params": [0.2028, 0.09000000000000001, 0.0869, 0.0806, 0.6940000000000001, 0.6977, 0.6933, 0.7014, 0.3594, 0.3891, 0.2907, 0.2788, 0.7011000000000001, 0.6980000000000001, 0.6871, 0.6862, 0.6944, 0.6866, 0.6996, 0.6947, -0.0085, -0.0078000000000000005, 0.6... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(5) @ Z(2) @ Z(3)) + -0.125 * (Z(5) @ Z(2) @ Z(4)) + -0.125 * (Z(5) @ Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(2) @ Z(3... | 14 | 12 | 2 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875], "number_of_smallest_eig... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.04918376531928889) q[0];
rz(-0.3793966486121454) q[0];
ry(0.7827482198667217) q[1];
rz(0.660355275556797) q[1];
cx q[1], q[0];
ry(0.33401292012670686) q[0];
rz(-0.8093873712479307) q[0];
ry(0.5574529877503042) q[1];
rz(0.22712409290961155) q[1];
ry(0.158801706322... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIIIZIIZII",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIIIZZZII",
"IIIIIIZIZZII",
"IIIIIIZZIZII",
"IIIIIIZZZIII",
"IIIIIIZZZZII",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIIZ",
"IIIZIIIIIIIZ",
"IIIIIZIIIZII",
"IIIIZIIII... | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625... | 0.971394 | [
-0.04918376531928889,
-0.3793966486121454,
0.7827482198667217,
0.660355275556797,
0.15880170632269322,
-0.27047486372946683,
0.04086639445358173,
-0.20757548156559666,
0.07150862175408089,
-0.42433686654348857,
-0.038547795345371345,
0.042652669316125304,
0.9860647482580898,
0.197570312199... | {
"n_parameters": 132,
"n_qubits": 12,
"optimal_eigenvalue": -3.6875,
"target_ratio": 0.97,
"target_value": -3.576875
} | 169 |
ee68f24dce039a4cba3f3c3df952f527 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 4, "target": 3}, {"capaci... | {"states": [8, 27], "expectation_value": -2.291495606100743, "params": null, "bitstrings": ["110111", "100100"], "total_optimization_steps": 26, "probabilities": [0.07744130134523922, 0.6711829431980799], "optimization_time": 16.422783851623535} | 0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(4) @ Z(5)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * Z(5) + -0.25 * Z(0) + 0.25 * Z(4) + 0.5 * Z(1) + 0.25 * Z(2) + -0.25 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["100100", "100000"], "largest_eigenvalue": 3.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(1.7187054369255659) q[0];
cx q[5], q[0];
rz(0.09446777047799948) q[0];
rx(-1.466700987803215) q[0];
cx q[5], q[4];
rz(0.01333934725850041) q[4];
cx q[5], q[4];
cx q[4], q[1];
rz(0.01333934725850041) q[1];... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5158) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... | [
"ZIIIIZ",
"ZZIIII",
"IZIIZI",
"IIIZZI",
"IZZIII",
"ZIIIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
0.25,
-0.75,
-0.75,
-0.25,
-0.25,
-0.5,
-0.25,
0.25,
0.5,
0.25,
-0.25
] | 0.744299 | [
1.7187054369255659,
0.01333934725850041,
0.09446777047799972,
-1.1516700085688871,
1.5731593475807684,
-1.4667009878032147
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 189 |
b993a5a7e57c18bd4205eb03339dcbdb | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [487, 355], "expectation_value": -6.709862582313065, "params": [[0.0801, 0.10020000000000001, 0.0868, 0.0587], [-0.0731, -0.1177, -0.13440000000000002, -0.15130000000000002]], "bitstrings": ["111000011000", "111010011100"], "total_optimization_steps": 20, "probabilities": [0.003971799704600439, 0.00397179970... | 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(4)) + 0.5 * (Z(11) @ Z(9)) + 0... | 1 | 12 | 4 | {"smallest_eigenvalues": [-9.999999999999998, -9.999999999999998], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.666666666666666, "smallest_bitstrings": ["111010011100", "111000011000"], "largest_eigenvalue": 29.666666666666664} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(-0.7539683417504123) q[0];
h q[1];
ry(-0.7849190935755255) q[1];
ry(-0.5117930615902674) q[2];
rz(-pi) q[2];
h q[3];
ry(0.8027330867228042) q[3];
h q[4];
h q[5];
ry(0.6610369723445622) q[5];
h q[6];
ry(1.6427196587087884) q[6];
cx q[6], q[3];
ry(-0.802733086... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIZIIIZIIIII",
"IIZIIZIIIIII",
"IIIIIZZIIIII",
"IIZIIIIIZIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIZIIIIZIIII",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIIIZZIII",
"IZZIIIIIIIII",
"IZIIIIIIZIII",
"IZIIIIIZIIII",
"ZIZIIIIIIIII",
"ZIIIIIIIZIII",
"ZIIIIIIZIIII",
"ZZIIIIIIIIII",
"IIIIIIZII... | [
0.5,
0.5,
1,
-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,
1,
-0.5,
-0.5,
-0.5,
-0.5,
0.33333333333333337,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
1.5,
1.5,
1.5,
1,
-1.5,
2.5,
2.5,
-1.333333333333333,
-1.... | 0.994326 | [
1.6427196587087884,
-1.569838187151051,
1.428071510041552,
1.6054661734456084,
-1.5079366835008245,
-1.479467181204076,
1.0509882011382135,
1.3220739446891243,
-1.3407671105792736,
-0.8743627779952217,
-0.15137910993803103,
-0.36928097441881536,
-0.04643846630258572,
0.18962590822056274,
... | {
"n_parameters": 36,
"n_qubits": 12,
"optimal_eigenvalue": -9.999999999999998,
"target_ratio": 0.97,
"target_value": -9.699999999999998
} | 1 |
35ceaf2acc1635ca8c652a3a1fed479f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [1983, 1951], "expectation_value": -19.786527515097333, "params": [[[-0.0021000000000000003, 3.1438], [0.0027, 0.0023], [-0.003, -0.003], [-0.0029000000000000002, -0.0031000000000000003], [2.4159, 0.0023], [1.6329, -0.0022], [0.0026000000000000003, -0.0022], [-0.0023, -0.0021000000000000003], [-0.002, 0.002]... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -2.5 * (Z(6) @ Z(9)) + 0.5 * (Z(10) @ Z(9)) + -1.5 * (Z(10) @ Z(6)) + -2.0 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(6)) + -1... | 15 | 11 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["00001100000"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.2239432202849596) q[0];
cx q[1], q[0];
rz(-0.7774086680583405) q[0];
rx(1.0074293696913486) q[0];
rz(-1.0210688536597514) q[1];
rx(1.0074293696913486) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.9121711073704493) q[2];
cx q[3], q[2];
h... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIIIZZIIII",
"IZIIZIIIIII",
"ZZIIIIIIIII",
"ZIIIZIIIIII",
"IZIZIIIIIII",
"IIIZZIIIIII",
"IZZIIIIIIII",
"IIZIZIIIIII",
"IIZZIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIZI... | [
-2,
-2,
-1.5,
-2,
0.5,
0.5,
0.5,
-2.5,
0.5,
-1.5,
-2,
0.5,
-2,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.602955 | [
1.2239432202849596,
0.9121711073704493,
0.04875506721853579,
0.1909182822802535,
-1.0210688536597519,
-0.7774086680583404,
1.0074293696913483
] | {
"n_parameters": 7,
"n_qubits": 11,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 208 |
82a9b805089c1b1c13eff0722cc99710 | 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": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "s... | {"states": [65, 1], "expectation_value": -0.04145661199615454, "params": [[0.009300000000000001, -0.0251], [-0.0212, 0.0172]], "bitstrings": ["110111110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0020178408482412783, 0.0020234802260627035], "optimization_time": 4.7245965003967285} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @... | 1 | 9 | 2 | {"smallest_eigenvalues": [-11.0, -11.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["110111110", "111111110"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.129749767988939) q[0];
rz(1.8507290898757516) q[0];
rx(-0.108662880652448) q[1];
rz(2.3681113194574674) q[1];
rx(0.004536411622978497) q[2];
rz(2.133366640905808) q[2];
rx(-0.10866288065244802) q[3];
rz(2.2931739779397198) q[3];
rx(0.03940300495578412) q[4];
rz(2.0... | 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": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIZZIIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIZIIII",
"IZIZIIIII",
"IIIIIIZZI",
"IIIIIZZII",
"IIIZIIZII",
"IZIIIIZII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"... | [
-0.25,
-0.5,
-0.25,
-0.75,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
2,
-0.5,
-0.25,
-0.25,
0.25,
-0.25,
-1.25,
0.25,
0.5,
-1.75,
0.75,
1.5,
0
] | 0.970637 | [
0.129749767988939,
0.2799327630808552,
-0.108662880652448,
0.7973149926625709,
0.004536411622978496,
0.5625703141109113,
0.7223776511448223,
0.039403004955784124,
0.4882744886423105,
0.06586133065035979,
0.5072858765314702,
0.5112305744463932,
0.389718831934279,
1.3419583646118771,
-0.13... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 7 |
8408687869260265012 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[5, 7], [2, 4], [8, 1], [3, 7], [0, 6], [1, 7], [5, 6], [0, 2], [0, 3], [2, 3, 5], [4, 7], [1, 4, 5]]} | {"states": [232, 440], "expectation_value": -4.104065324818516, "params": null, "bitstrings": ["100010111", "001000111"], "total_optimization_steps": 58, "probabilities": [0.053049242864648, 0.8704517959402541], "optimization_time": 104.02141666412354} | 0.5 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(5)) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.333333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9999999999999996, "smallest_bitstrings": ["001000111"], "largest_eigenvalue": 6.999999999999997} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[5];
rz(0.6856725941288447) q[5];
cx q[7], q[5];
cx q[5], q[2];
rz(0.023213227373362903) q[2];
cx q[5], q[2];
cx q[7], q[4];
rz(0.6856725941288447) q[4];
cx q[7], q[4];
cx q[5], q[4];
rz(0.0232132... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.2292) 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] = m... | [
"IZIZIIIII",
"IIIZIIZII",
"IZIIZIIII",
"IIIZZIIII",
"IIIIZIZII",
"IZIIIIIZI",
"IIIZIIIZI",
"IIIIZIIZI",
"ZIIIIIIZI",
"IZIIIZIII",
"IIIZIZIII",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIZZIIIII",
"IIZIIIIIZ",
"IZIIIIIII",
"IIIZIIIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIIIZI",
"... | [
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0,
0.33333333333333304,
0.16666666666666652,
0.16666666666666652,
0.16666666666666652,
0,
0.1666... | 0.499684 | [
0.6856725941288447,
0.023213227373362903,
-0.14775665852351885,
0.7521378951368639,
-0.7789735708666244
] | {
"n_parameters": 5,
"n_qubits": 9,
"optimal_eigenvalue": -4.333333333333332,
"target_ratio": 0.97,
"target_value": -4.203333333333332
} | 137 |
175dd49c484ef3d5fa3bd6c9677b2e54 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 3}, {"weight": 19, "source": 1, "target": 7}, {"weight": 10, "source": 2, "tar... | {"states": [215, 214], "expectation_value": -31.31787476016994, "params": [[-0.0407, -0.0001, 0.009600000000000001], [0.0762, 0.0767, 0.07050000000000001]], "bitstrings": ["100101000", "100101001"], "total_optimization_steps": 10, "probabilities": [0.010206364970113336, 0.011820034049516934], "optimization_time": 6.447... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 18.5 * Z(2) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.5, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 163.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.012702872726867235) q[0];
rz(0.7261500482432468) q[0];
rx(1.708594509649015) q[1];
rz(0.12597962376736144) q[1];
rx(1.7733981518856725) q[2];
rz(-0.02277223671017986) q[2];
rx(0.06529158846150054) q[3];
rz(0.533931610746281) q[3];
rx(1.7309825126937453) 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[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIZZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZZIIIIII",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIZIIIIII",
"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,
18.5,
3.5,
10,
5,
14.5,
16.5,
2.5,
16,
14
] | 0.970119 | [
0.012702872726867237,
0.6846830848096259,
1.708594509649015,
0.12597962376736144,
1.7733981518856725,
-0.02277223671017986,
0.06529158846150054,
0.533931610746281,
1.7309825126937453,
0.43134552008146615,
-0.061856389290952205,
0.7298563498538823,
1.7726504492361108,
0.0006008827544663614,... | {
"n_parameters": 53,
"n_qubits": 9,
"optimal_eigenvalue": -77.5,
"target_ratio": 0.97,
"target_value": -75.175
} | 10 |
480a390c56e3e13e55537753f027750e | 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": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"sour... | {"states": [308, 316], "expectation_value": -6.1481220928871965, "params": [[[1.0992, 0.033600000000000005, 0.0019, 0.0097], [-0.18710000000000002, -0.1519, -0.3486, 0.1107], [0.1033, -0.5656, 0.1346, 0.0568], [0.0654, -0.0734, 0.7496, 0.0061], [0.0318, -0.7114, 0.1153, 0.1423], [-0.0502, -0.1638, 1.0953000000000002, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + -1.5 * Z(1) + 0.0 * Z(0) + -1.5 * ... | 11 | 9 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["011000011"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.7169086482071072) q[0];
rz(0.10084273965407183) q[0];
ry(-0.1832974747182864) q[1];
rz(-0.18866433073282993) q[1];
cx q[1], q[0];
ry(1.3594863522830973) q[0];
rz(0.0024843832860715065) q[0];
ry(-0.6451360086711266) q[1];
rz(0.05328526243376945) q[1];
ry(0.212508482... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIIZIIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IZIZIIIII",
"IZZIIIIII",
"IIIZIIZII",
"IZIIIIZII",
"IIIIIZZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIIIIZII",
"IIIIIZIII",
"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,
-1.5,
0,
-1.5,
-1,
-1.5,
-1.5,
0,
-1.5,
0
] | 0.97122 | [
1.7169086482071072,
0.10084273965407183,
-0.1832974747182864,
-0.18866433073282993,
0.2125084827400827,
-0.559154585026104,
-0.03986357810670305,
-0.14366835500663958,
0.08349420390120196,
-0.827689479309746,
-0.07321438944734746,
0.01500327680068525,
0.34475880620344895,
-0.28859251822792... | {
"n_parameters": 64,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 19 |
7998738815499621531 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[3, 4], [1, 11, 12], [2, 11], [8, 3, 11, 12], [10, 2, 12, 7], [0, 10, 4], [0, 1, 11], [0, 2, 7], [3, 1, 11, 7], [4, 6], [11, 5], [8, 5, 7], [0, 10, 2, 12], [8, 9]]} | {"states": [4407, 4403], "expectation_value": -4.840852710350295, "params": [[[3.1447000000000003, 0.003, 0.0006000000000000001, 0.0027], [1.5684, 0.0026000000000000003, 0.7875000000000001, 0.0039000000000000003], [0.0028, 0.0034000000000000002, 0.006500000000000001, 0.0037], [-0.45830000000000004, -0.0025, 0.2331, 0.0... | 0.5 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(11) @ Z(3)) + 0.41666666666666663 * (Z(11) @ Z(1)) + 0.08333333333333333 * (Z(12) @ Z(3)) + 0.16666666666666666 * (Z(12) @ Z(1)) + 0.25 * (Z(12) @ Z(11)) + 0.5 * (Z(2) @ Z(11)) + 0.16666666666666666 * (Z(2) @ Z(12)) + 0.083333333333333... | 12 | 13 | 1 | {"smallest_eigenvalues": [-4.916666666666666, -4.916666666666666], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.833333333333334, "smallest_bitstrings": ["0111011001100", "0110110001000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(3.0148614367690065) q[0];
rz(0.1104646610020375) q[0];
ry(1.5879604688310223) q[1];
rz(-0.061888036905766323) q[1];
cz q[1], q[0];
ry(1.8030787401862471) q[1];
ry(-0.10032530341556273) q[2];
rz(0.06966107564502351) q[2];
ry(-0.47766139283409115) q[3];
rz(-0.14182525... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIIIIZZIII",
"IIIIIIIIIZIZI",
"IZIIIIIIIZIII",
"IZIIIIIIIIIZI",
"ZIIIIIIIIZIII",
"ZIIIIIIIIIIZI",
"ZZIIIIIIIIIII",
"IZIIIIIIIIZII",
"ZIIIIIIIIIZII",
"IIIIZIIIIZIII",
"IZIIZIIIIIIII",
"ZIIIZIIIIIIII",
"IIZIIIIIZIIII",
"ZIZIIIIIIIIII",
"IIZIIIIIIIZII",
"IIIIIZIIIZIII",
"IIIIIZIIIII... | [
0.5,
0.08333333333333333,
0.16666666666666666,
0.41666666666666663,
0.08333333333333333,
0.16666666666666666,
0.25,
0.5,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.0833333333333333... | 0.976944 | [
3.0148614367690065,
0.1104646610020375,
1.5879604688310223,
-0.061888036905766323,
-0.10032530341556273,
0.06966107564502351,
-0.47766139283409115,
-0.14182525775976462,
3.244657361958815,
-0.11406604755197396,
0.03528494931526741,
-1.685324163260023,
0.013999673404487052,
-0.1036934316692... | {
"n_parameters": 33,
"n_qubits": 13,
"optimal_eigenvalue": -4.916666666666666,
"target_ratio": 0.97,
"target_value": -4.769166666666666
} | 1 |
cee21d2c524e6fc138e70d6d9e27345e | 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": 4, "source": 1, "target": 2}, {"capacity": 6, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 2}]} | {"states": [255, 239], "expectation_value": -12.995380066072595, "params": [[[-0.31920000000000004, 0.18380000000000002], [0.0013000000000000002, 0.5133], [0.0019, 0.0043], [0.0019, -0.0026000000000000003], [-1.0602, 0.0014], [-0.0014, 0.0015], [0.0016, 0.0016], [-0.6204000000000001, -0.6295000000000001], [-0.0154, 0.0... | 2.0 * (Z(1) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(1)) + 1.0 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 1.0 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) ... | 15 | 9 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["100010000"], "largest_eigenvalue": 55.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.08561040186494705) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.08561040186494705) q[3];
cx q[2], q[3];
cx q[1], q[3];
cx q[2], q[0];
rz(-0.13032020170893938) q[0];
cx q[2], q[0];
rz(-0.13032020170893938) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IZIIIIZII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIIIIIZ",
"ZIIIIIZII",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIIZIIIZ",
"IZIIZIIII",
"ZIIIZIIII",
"... | [
2,
2,
1,
1,
0.5,
0.5,
1,
0.5,
0.5,
0.5,
1,
0.5,
0.5,
0.5,
1,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-2,
-1,
-1,
-1,
-1,
-1,
1,
-3,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
1.5,
3,
5,
2.5,
2.5,
0,
1.5,
1.5,
-0.5,
-1,
-1.5
] | 0.69852 | [
-0.08561040186494705,
-0.13032020170893938,
-0.09293795236063519,
-0.1836712523285487,
0.1609684499092548,
-0.012457635001121998,
-0.0033797729801731662,
0.12930263904239359,
-0.05240497445492781,
-1.5648064933444994,
-1.5025379725146595,
-1.0821352790424412,
1.4484250023356933,
0.98938625... | {
"n_parameters": 14,
"n_qubits": 9,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 296 |
9ce9a4df2b9f5b2928b1f33f8eadc571 | 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": [95, 91], "expectation_value": -101.24880768772681, "params": [0.0006000000000000001, 0.0076, -0.0047, 0.0025, 0.004200000000000001, -0.0008, 0.0027, -0.0002, 0.5234, 0.519, 0.1565, 0.149, 0.5157, 0.503, 0.5386000000000001, 0.444, 0.1688, 0.168, 0.5419, 0.5269, 0.4686, 0.44210000000000005, -0.0007, 0.0051, -... | 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(2) @ Z(6)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(8) @ Z(4)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(9) @ Z(7)) + 7.0 * (Z(9) @ Z(8)) + 7.0 * (Z(1) @ Z(9)) + 7.0 * (Z(10) @ Z(5)) + 7.0 * (Z(10) @ Z(7)) + -2.5 * Z(3) + 9.5 * Z(4) + 6.0 * Z(6) + -6.5 * Z(2) + 9.0 * Z(5) + 21.0 * Z(... | 14 | 11 | 3 | {"smallest_eigenvalues": [-112.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -100.0, "smallest_bitstrings": ["11110100100"], "largest_eigenvalue": 152.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.11079397419019073) q[0];
rz(pi/2) q[0];
ry(0.10947541666529312) q[1];
ry(-0.29262274085834455) q[2];
ry(-0.047337474562167935) q[3];
ry(0.34923061453199666) q[4];
ry(0.024211760858095732) q[5];
ry(0.3595951102355718) q[6];
ry(0.7540981679060572) q[7];
ry(0.071012... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZIII",
"IIIIZIIIZII",
"IIIIZZIIIII",
"IIIZIZIIIII",
"IIZIIIZIIII",
"IIZZIIIIIII",
"IZIZIIIIIII",
"IZZIIIIIIII",
"IZIIIIIIIZI",
"ZIIIIZIIIII",
"ZIIZIIIIIII",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIIIIIIIZII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIZIIIIIIII",
"IZIIIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
-2.5,
9.5,
6,
-6.5,
9,
21,
11,
14,
-5,
8,
-10.5
] | 0.974254 | [
-0.11079397419019073,
0.10947541666529312,
-0.29262274085834455,
-0.047337474562167935,
0.34923061453199666,
0.024211760858095732,
0.3595951102355718,
0.7540981679060572,
0.07101253390092763,
0.4149196398514415,
0.37869267787784594,
0.011895832762569947,
0.3255358666241808,
-0.525163091235... | {
"n_parameters": 127,
"n_qubits": 11,
"optimal_eigenvalue": -112,
"target_ratio": 0.97,
"target_value": -108.64
} | 4 |
20a60ed013bc1976376f734be7d8d92c | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [90, 165], "expectation_value": -0.00959697125575588, "params": [[0.0668], [-0.0728]], "bitstrings": ["10100101", "01011010"], "total_optimization_steps": 10, "probabilities": [0.004059310565245692, 0.004059310565245692], "optimization_time": 2.510763645172119} | 0.25 * (Z(0) @ Z(1)) + -0.0015625 * (Z(2) @ Z(0)) + -0.0015625 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0015625 * (Z(4) @ Z(0)) + -0.0015625 * (Z(4) @ Z(2)) + 0.0015625 * (Z(5) @ Z(1)) + -0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0015625 * (Z(6) @ Z(0)) + 0.0015625 * (Z(6) @ Z(2)) + -0.0015625 * (Z(6) @ Z... | 5 | 8 | 1 | {"smallest_eigenvalues": [-1.00625, -1.00625, -1.00625, -1.00625, -1.00625, -1.00625], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["10100101", "01011010", "10010110", "01101001", "10101010", "01010101"], "largest_eigenvalue": 1.01875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.354728125038139) q[0];
ry(-0.4482118389810244) q[1];
ry(1.1755110513092433) q[2];
ry(0.5002955961412344) q[3];
ry(0.16063370756801337) q[4];
ry(1.5622279807339) q[5];
ry(1.1768090945097947) q[6];
ry(1.5622279807339) q[7];
ry(1.5666955069360808) q[8];
ry(1.5127972... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[0], q[2];
rz(x1) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(x1) q[3];
cx... | {"communities_size": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIIIZ",
"IZIIIZII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
0.25,
-0.0015625,
-0.0015625,
0.25,
0.0015625,
-0.0015625,
0.0015625,
-0.0015625,
0.25,
-0.0015625,
0.0015625,
-0.0015625,
-0.0015625,
0.0015625,
-0.0015625,
0.25,
-0.0015624999999999944,
-0.0015624999999999944,
-0.0015624999999999944,
-0.0015624999999999944,
-0.0015624999999... | 0.972165 | [
-0.354728125038139,
-0.4482118389810244,
1.1755110513092433,
0.5002955961412344,
0.16063370756801337,
1.5622279807339,
1.1768090945097947,
1.5666955069360808,
1.5127972230668947,
-0.024986189269166677,
0.48443925419363265,
0.015176939504703403,
-0.07719483818697466,
0.3729730085267119,
0... | {
"n_parameters": 60,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999957,
"target_ratio": 0.97,
"target_value": -19.39999999999996
} | 52 |
501477738601b9a56009fb34d8274268 | 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": 1}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capaci... | {"states": [0, 27], "expectation_value": -3.3540549646650932, "params": [[-0.14650000000000002, -0.1401, -0.1197], [0.15610000000000002, 0.165, 0.16840000000000002]], "bitstrings": ["111111", "100100"], "total_optimization_steps": 20, "probabilities": [0.07711122137338264, 0.08251832480734948], "optimization_time": 2.6... | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + 2.0 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + -1.0 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.25, -5.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000", "100100"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022432742226757757) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.3384255533536563) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(-0.2041040411348823) q[3];
cx q[1], q[3];
rz(1.4620623217131428) q[1];
rx(-1.1506042763506248) 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[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIZIZI",
"IZIZII",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
-0.25,
-1.25,
-1,
-1.25,
0.5,
-0.5,
-0.5,
2,
-0.25,
0.5,
-1,
-0.75,
-0.5
] | 0.711879 | [
0.022432742226757757,
-0.3384255533536563,
-0.2041040411348823,
0.7101376461721758,
-0.6732289857497842,
1.4620623217131428,
-0.4251460208844991,
-1.1506042763506248
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 188 |
-2692663721775254224 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1], [0, 8, 2], [2, 3, 4, 7], [8, 4], [8, 5], [3, 6]]} | {"states": [355, 99], "expectation_value": -2.3249420183442906, "params": [1.5961, -0.6138, 1.5996000000000001, 0.0001, 0.7293000000000001, -0.1366, -0.39830000000000004, 0.006500000000000001, 1.5865, -0.069, 0.7045, 0.0008, 1.5935000000000001, -0.16740000000000002, 1.4803000000000002, 0.0032, 0.5822, -0.1495, -0.1956,... | 0.5 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.08333333... | 6 | 9 | 1 | {"smallest_eigenvalues": [-2.583333333333333, -2.583333333333333, -2.583333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["000000111", "000100001", "110011100"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.21368102071230427) q[0];
h q[1];
ry(-0.8365433786104083) q[1];
h q[2];
ry(1.1724415387981126) q[2];
h q[3];
h q[4];
ry(-0.7346865163986053) q[4];
h q[5];
ry(-0.18783218235630042) q[5];
h q[6];
ry(-0.18783218235630042) q[6];
cx q[3], q[6];
ry(0.187832182356... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIZII",
"IIIIIIZIZ",
"IIIIIZZII",
"ZIIIZIIII",
"IIIIZIZII",
"IIIIZZIII",
"IZIIIIZII",
"IZIIIZIII",
"IZIIZIIII",
"ZIIZIIIII",
"IIZIIZIII",
"IIIIIIIZI",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IZIIIIIII",
"IIIZIIIII",
"... | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0,
0.16666666666666674,
0.16666666666666666,
0.29166666666666663,
0.125,
... | 0.975348 | [
1.1724415387981126,
-0.37566436471260084,
1.4831057580330378,
-1.6730867572208166,
-1.4693730327972105,
0.1019589705756815,
-0.7790459870784905,
0.8164304677546135,
-0.8483455077280122,
0.5773000671263295,
-0.2102889164254818,
-0.42736204142460854,
0.013368210730224275,
0.00246486571189877... | {
"n_parameters": 69,
"n_qubits": 9,
"optimal_eigenvalue": -2.583333333333333,
"target_ratio": 0.97,
"target_value": -2.505833333333333
} | 18 |
b5e203e63ec3496219a24352650f6c69 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 5}, {"weight": 15, "source": 1, "target": 5}, {"weight": 16, "source": 1, "target": 3}, {... | {"states": [250, 122], "expectation_value": -70.31827588272509, "params": [0.38270000000000004, 0.2053, 0.7854, -0.0064, 0.7834, -0.0002, 0.7886000000000001, -0.006, 0.7873, 0.0804, 0.1627, 0.31670000000000004, 0.791, 0.0732, 0.38670000000000004, 0.2043, 0.38220000000000004, 0.1975, 0.7929, -0.0028, 0.7864, -0.0038, 0.... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) ... | 18 | 8 | 4 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 176.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.009690584669794472) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.009690584669794472) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.009690584669794472) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.009690584669794472) q[3];
cx q[2], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIZII",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11.5,
10.5,
20,
22,
19.5,
2,
15,
11.5
] | 0.8875 | [
0.009690584669794472,
1.0644495968180745,
-0.37734491307153717,
1.193186640419008,
1.9579187082258482,
1.4566571941238642,
-0.6535126455651429,
1.515482843275194,
0.000008576733867442173,
-0.04239820967421715,
0.6952275252522051,
-0.9506548249804723,
0.8765199536298071,
-0.3900921718370591... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 500 |
13b5396df6ad27aea05f400e3a29be63 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"sour... | {"states": [176, 177], "expectation_value": -5.686306546056345, "params": [-0.007, -0.0126, 0.39730000000000004, 0.3985, 0.3582, 0.3492, 0.40690000000000004, 0.4016, 0.4038, 0.4027, -0.016900000000000002, -0.0109, -0.0006000000000000001, 0.0004, 0.0099, 0.0071, 0.39940000000000003, 0.39690000000000003, -0.0133000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) ... | 14 | 9 | 2 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["101011100", "110001110", "101001110"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.10541624809692982) q[0];
ry(0.8757410107993856) q[1];
ry(0.843357594779127) q[2];
ry(-0.0268855691183135) q[3];
ry(1.221275055493332) q[4];
ry(-0.06999698673772414) q[5];
ry(0.042751162560464816) q[6];
ry(0.1497258182093612) q[7];
ry(0.7994161556246975) q[8];
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": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIIZII",
"IZIIIIIIZ",
"IZIIIIZII",
"ZIIIIIIIZ",
"ZIIZIIIII",
"IZZIIIIII",
"ZIZIIIIII",
"IIZIIZIII",
"IIIZZIIII",
"IZIIZIIII",
"IIZIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIZIIIII",
"IZIIIIIII",
"... | [
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,
-2,
-1.5,
-2,
-1.5,
-1,
-1.5,
0,
-1
] | 0.972313 | [
-0.10541624809692982,
0.8757410107993856,
0.843357594779127,
-0.0268855691183135,
1.221275055493332,
-0.06999698673772414,
0.042751162560464816,
0.1497258182093612,
0.7994161556246975,
0.023632825702003455,
0.465402078587639,
0.4580313956034724,
1.3659493316279991,
1.1274906037694907,
0.... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 5 |
732c260e1c0902cbe3cb22d766daa7cc | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "so... | {"states": [44, 28], "expectation_value": -5.308047988188512, "params": [[0.17600000000000002], [-0.24700000000000003]], "bitstrings": ["1111010011", "1111100011"], "total_optimization_steps": 30, "probabilities": [0.004718244203921548, 0.00471824420392155], "optimization_time": 7.324427604675293} | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(1) @ Z(2)) + 0.6666666666666667 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-10.333333333333332, -10.333333333333332, -10.333333333333332, -10.333333333333332], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.666666666666668, "smallest_bitstrings": ["1111001001", "1111001010", "1111010011", "1111100011"], "largest_eigenvalue": 26.666666666666668} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.008562219394374999) q[0];
rz(-0.18065508670005936) q[0];
rx(-0.0028228946995007883) q[1];
rz(-0.28081080015860127) q[1];
rx(0.008562219394374997) q[2];
rz(0.009275911461020393) q[2];
rx(0.008562219394374997) q[3];
rz(0.16646644706220792) q[3];
rx(0.440647895616474... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIZIIIZII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIZIIIIZII",
"IIZIIZIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IZIIIIZIII",
"IZIIIZIIII"... | [
-0.5,
-1,
0.6666666666666667,
0.5,
-0.5,
-1,
-0.5,
0.5,
-0.5,
0.5,
1,
-0.5,
0.5,
0.5,
-1,
1,
1,
1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
-2.5,
1.1102230246251565e-16,
2.220446049250313e-16,
0,
2.5,
2.5,
2,
4,
-0.5,
-0.5
] | 0.979582 | [
0.008562219394374997,
-0.15097596248673917,
-0.0028228946995007883,
-0.28081080015860127,
0.009275911461020393,
0.16646644706220792,
0.4406478956164749,
-0.09140447979676149,
2.665613078940768,
-0.11848032829119896,
3.109469190815953,
0.2534456444784792,
3.2595205084667747,
-0.077611468584... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -10.333333333333332,
"target_ratio": 0.97,
"target_value": -10.023333333333332
} | 11 |
12a709cea7d6ba239d3ff08a3d514b7a | 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": 5}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target":... | {"states": [0, 1021], "expectation_value": -22.279376126030385, "params": [[[-0.1642, 0.0129], [-0.0109, 1.6123], [0.0032, 0.0043], [0.0027, 0.0028], [0.0026000000000000003, -0.0031000000000000003], [0.0022, 0.0024000000000000002], [0.0025, 0.0023], [0.0027, -0.0032], [0.0026000000000000003, 0.0023], [-0.24200000000000... | -0.25 * (Z(0) @ Z(6)) + -1.0 * (Z(8) @ Z(6)) + -0.75 * (Z(8) @ Z(0)) + -0.75 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(0)) + -2.0 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(8)) + -0.25 * (Z(4) @ Z(9)) + -1.0 * (Z(1) @ Z(4)) + -2.25 * (Z(10) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(3) @ Z(8)) + -1.0 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @... | 15 | 11 | 2 | {"smallest_eigenvalues": [-23.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.25, "smallest_bitstrings": ["10000000010"], "largest_eigenvalue": 21.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.009352198797701619) q[0];
ry(-0.023416686800909494) q[1];
ry(-0.04134372214514526) q[2];
ry(0.035992964165522744) q[3];
ry(0.06055001862373877) q[4];
ry(0.003716984372968836) q[5];
ry(0.028956464423881147) q[6];
ry(0.028956464423881147) q[7];
ry(-0.00935219879770... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIZIIIIIZ",
"IIZIZIIIIII",
"IIZIIIIIIIZ",
"IZIIZIIIIII",
"IZIIIIIIIIZ",
"IIIIZIZIIII",
"IIZIIIZIIII",
"IZIIIIZIIII",
"IIIIIIZIIZI",
"ZIIIIIIIIZI",
"IIIIZIIZIII",
"IIZIIIIZIII",
"IZIIIIIZIII",
"IIIIIIZZIII",
"IIIIZZIIIII",
"IZIIIZIIIII",
"ZIIIIZIIIII",
"IIIIIZIZIII",
"IIIZZIIII... | [
-0.25,
-1,
-0.75,
-0.75,
-0.5,
-2,
-0.5,
-0.25,
-1,
-2.25,
-0.5,
-0.75,
-1,
-1,
-2,
-0.25,
-0.25,
-2,
-0.5,
-1.5,
-0.5,
-1.25,
-0.25,
-0.5,
1.75,
-1.25,
-0.25,
1,
-0.25,
-1,
-2.25,
-0.5,
-0.25,
0.75,
2.5,
0.25,
0,
-0.25
] | 0.970377 | [
-0.009352198797701619,
-0.023416686800909494,
-0.04134372214514526,
0.035992964165522744,
0.06055001862373877,
0.003716984372968836,
0.028956464423881147,
-0.07020954148146427,
-1.9819538787513062,
3.152390663002211,
-0.018778070561774052,
-0.03293081996558401,
0.0001844978361958613,
-0.01... | {
"n_parameters": 16,
"n_qubits": 11,
"optimal_eigenvalue": -23.25,
"target_ratio": 0.97,
"target_value": -22.5525
} | 9 |
20cd84d43f6aff3dd65cedb9807f2e38 | 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": [95, 93], "expectation_value": -69.76932028022556, "params": [0.46690000000000004, 0.2328, -0.002, 0.6652, 0.8978, 0.1207, 0.45840000000000003, 0.2846, 0.897, 0.0034000000000000002, 0.8985000000000001, 0.009000000000000001, 0.9014000000000001, 0.1384, 0.4718, 0.2514, 0.8889, 0.158, 0.4697, 0.2263, -0.0038, 0... | 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(5) @ Z(0)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(5) @ Z(7)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(0)) + 5.5 * (Z(8) @ Z(5)) + 24.5 * Z(2) ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-96.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.5, "smallest_bitstrings": ["110100010"], "largest_eigenvalue": 189.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.15319251763527886) q[0];
rz(0.42210631709259827) q[0];
rx(-0.006275813064874909) q[1];
rz(0.5940384237967093) q[1];
rx(1.0029988394851044) q[2];
rz(0.05996102683928932) q[2];
rx(0.0645277860276151) q[3];
rz(0.3112041748256678) q[3];
rx(0.8865553729843764) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIIZZII",
"IIIIZZIII",
"IIZIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"IIIZIIZII",
"IIIZIIIIZ",
"IIZZIIIII",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIZIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIZIIIII",
"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
24.5,
6.5,
11,
6,
11.5,
6.5,
24.5,
12.5,
-9.5
] | 0.976985 | [
0.15319251763527886,
0.27823719432649113,
-0.006275813064874909,
0.5940384237967093,
1.0029988394851044,
0.05996102683928932,
0.0645277860276151,
0.3112041748256678,
0.8865553729843764,
-0.011899252820175892,
1.0597016967002961,
0.13153117741106618,
0.9999003964726748,
0.09106450129347221,... | {
"n_parameters": 79,
"n_qubits": 9,
"optimal_eigenvalue": -96.5,
"target_ratio": 0.97,
"target_value": -93.605
} | 11 |
5ca04f1f68578073d0992d728781edf5 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"sour... | {"states": [183, 251], "expectation_value": -1.7197282046281175, "params": [[-0.0795], [0.0765]], "bitstrings": ["01001000", "00000100"], "total_optimization_steps": 10, "probabilities": [0.006293650011896569, 0.006316783685270756], "optimization_time": 2.680746078491211} | -2.5 * (Z(0) @ Z(2)) + -2.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(0)) + -3.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + -3.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(7)) + 1.0 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-14.0, -14.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.0, "smallest_bitstrings": ["00000100", "00001000"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.029891878875727283) q[0];
ry(-0.004793446558857517) q[1];
ry(-0.021386295112293105) q[2];
ry(-0.004793446558857517) q[3];
ry(-0.9440426881664192) q[4];
ry(-1.9442936110008266) q[5];
ry(-0.021386295112293105) q[6];
ry(0.029891878875727283) q[7];
cx q[7], q[0];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(x0) q[0];
cx q[2],... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZIZI",
"IIIZIZII",
"IIIZIIZI",
"IIZIIZII",
"IIZIIIIZ",
"IIZIZIII",
"IIZIIIZI",
"IIZZIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
-2.5,
-2.5,
-1.5,
-3,
0.5,
0.5,
0.5,
-2,
-3,
0.5,
0.5,
0.5,
0.5,
-1,
1,
0.5,
0.5,
1,
-1.5,
-1.5,
0.5,
0.5
] | 0.970692 | [
0.029891878875727283,
-0.004793446558857517,
-0.021386295112293105,
-0.9440426881664192,
-1.9442936110008266,
3.148250040340883,
-0.002687143594334005,
-0.019038609197378722,
-0.017419529202770165,
-0.05453801214441066,
-0.025311900606496414
] | {
"n_parameters": 11,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 33 |
f0da153570ec19fd3e6a04b2d2085009 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": ... | {"states": [0, 1023], "expectation_value": -25.150581443958913, "params": [[[0.0028, 1.6086], [0.0022, 0.0029000000000000002], [0.0018000000000000002, 0.002], [-0.0031000000000000003, 0.0022], [0.0033, 0.0028], [-0.0022, -0.0027], [0.0025, 0.0021000000000000003], [0.0024000000000000002, 0.0021000000000000003], [0.00170... | -3.5 * (Z(0) @ Z(1)) + 1.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(0)) + -3.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(4)) + -3.0 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(3)) + -3.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -3.0 * (Z(6) @ Z(3)) + -3.0 * (Z(6) @ Z(5)) + -3.0... | 15 | 10 | 1 | {"smallest_eigenvalues": [-29.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.0, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 29.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
ry(0.7654593999292734) q[1];
h q[2];
h q[3];
ry(0.7119900002349819) q[3];
h q[4];
h q[5];
ry(0.8329161583281238) q[5];
h q[6];
cx q[6], q[1];
ry(-0.7654593999292734) q[1];
cx q[6], q[1];
cx q[1], q[3];
ry(-0.7119900002349819) q[3];
cx q[1], q[3];
cx q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIZIII",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIZIIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZIIIZIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IZIIIIIZII"... | [
-3.5,
1,
-2,
-3.5,
1,
-2.5,
-3,
0.5,
1,
-3.5,
0.5,
0.5,
-3,
-3,
-3,
0.5,
0.5,
-2,
1,
-1.5,
-1.5,
0.5,
1,
0.5,
0.5,
1,
1,
-2,
0.5,
0.5,
0.5,
0.5
] | 0.939681 | [
1.5309187998585467,
1.4239800004699639,
1.6658323166562476,
0.4604340297327404,
-0.6660042183763856,
2.4447149067034073,
-1.8381229415529463,
1.0136778505962762,
-0.018453247421978937,
0.00925197337292713,
3.5187611716551155,
-1.0682876627935294,
-0.044426091789223146,
-1.8495813751388304,... | {
"n_parameters": 75,
"n_qubits": 10,
"optimal_eigenvalue": -29,
"target_ratio": 0.97,
"target_value": -28.13
} | 500 |
-4841471649436295465 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 3, 4], [1, 2, 3, 4, 5, 6], [0, 2], [0, 3, 5, 6], [0, 4, 5]]} | {"states": [110, 106], "expectation_value": -0.5932097065381402, "params": [0.8978, -0.0001, 0.9052, 0.0082, 0.8962, -0.0006000000000000001, 0.8973000000000001, 0.0008, 0.7372000000000001, 0.007, 0.6291, 0.0025, 0.9038, 0.004200000000000001, 0.9067000000000001, 0.009300000000000001, 0.8983000000000001, 0.00210000000000... | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.11666666666666667 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.11666666666666667 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(0)) + 0.11666666666666667 * (Z(4) @ Z(3)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(2) @ Z(3)) + 0.0333333... | 6 | 7 | 1 | {"smallest_eigenvalues": [-1.4333333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.4333333333333333, "smallest_bitstrings": ["0010101"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(2.339916885781651) q[0];
rz(1.7288902844691432) q[0];
rx(2.7007224390825173) q[1];
rz(1.7806625471014499) q[1];
rx(-0.00023895957199140955) q[2];
rz(0.87642023677504) q[2];
rx(2.130893082008271) q[3];
rz(1.5957438614644461) q[3];
rx(-0.45069436288230624) q[4];
rz(2.2... | 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",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZZIII",
"IIIIZZI",
"IIIIZIZ",
"IIIZZII",
"IIZIZII",
"IZIIIZI",
"IZIIIIZ",
"IZIZIII",
"IZZIIII",
"IZIIZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIZIII",
"ZIZIIII",
"ZIIIZII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZ... | [
0.08333333333333333,
0.11666666666666667,
0.16666666666666666,
0.11666666666666667,
0.25,
0.11666666666666667,
0.03333333333333333,
0.5,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.25,
0.11666666666666667,
0.19999999999999998,
0.03333333333333333,
0.033333333333333... | 0.975088 | [
2.339916885781651,
0.15809395767424683,
2.7007224390825173,
0.20986622030655355,
-0.0002389595719914095,
-0.6943760900198559,
2.130893082008271,
0.02494753466954945,
-0.4506943628823062,
0.6519177210005831,
-0.0006118528062750705,
0.08156700893355912,
0.4352892495209839,
-0.970561382254049... | {
"n_parameters": 34,
"n_qubits": 7,
"optimal_eigenvalue": -1.4333333333333336,
"target_ratio": 0.97,
"target_value": -1.3903333333333334
} | 98 |
-4763176923323410830 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 7], [0, 2], [1, 3], [3, 4], [2, 5], [8, 6]]} | {"states": [409, 414], "expectation_value": -0.06041701836389453, "params": [[0.0703], [-0.0728]], "bitstrings": ["001100110", "001100001"], "total_optimization_steps": 10, "probabilities": [0.0021994208109550684, 0.0021994208109550684], "optimization_time": 0.5517604351043701} | 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(8)) + 0.0 * Z(7) + 0.0 * Z(8) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(6) | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["001100110", "110011001", "001100001", "011010001", "100101001", "110011110", "011010110", "100101110"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
ry(-0.457610479364498) q[2];
h q[3];
ry(-0.457610479364498) q[3];
h q[4];
cx q[4], q[3];
ry(0.457610479364498) q[3];
cx q[4], q[3];
ry(-0.30340001483935014) q[3];
cx q[1], q[3];
ry(0.30340001483935014) q[3];
cx q[1], q[3];
ry(0.6069841358734951) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[7], q[8];
rz(x0) q[8];
cx q[7], q[8];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];... | null | {"circuits": [], "gradients": []} | [
"ZZIIIIIII",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIIZII",
"ZIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.973371 | [
-0.915220958728996,
1.4535951171467971,
-0.6068000296787003,
1.2139682717469902,
-0.7649007749470158,
0.061925904381039204,
0.2977587138545427,
0.0006790351436044353,
-0.29330469142446974,
-0.946954599102448,
-0.4044581298561741,
-0.2638357364925938,
0.09377524736337398,
-0.114048968908392... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 37 |
-6452688707045364778 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 3], [1, 2, 4], [0, 2, 5], [5, 6], [2, 6], [4, 6], [2, 3]]} | {"states": [54, 118], "expectation_value": -2.178340229315261, "params": null, "bitstrings": ["1001001", "0001001"], "total_optimization_steps": 39, "probabilities": [0.20728372058235653, 0.644160390695362], "optimization_time": 42.628066301345825} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["0001001", "0101001", "1001001"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(2.9264589147090754) q[0];
rz(0.029147865115425442) q[0];
rx(1.966595026217004) q[1];
rz(0.01201888904314971) q[1];
rx(2.808072707447173) q[2];
rz(0.44480695278183) q[2];
rx(0.12408019060307945) q[3];
rz(-0.9530685465645634) q[3];
rx(3.023792118258136) q[4];
rz(-0.100... | 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(1.2292) 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",
"IIIZIZI",
"IIIZIIZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IZIIIIZ",
"IZIIZII",
"ZIIIZII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIIIZII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.3333333333333333,
0.3333333333333333,
0.16666666666666663,
0.333333333333... | 0.976819 | [
2.9264589147090754,
0.029147865115425442,
1.966595026217004,
0.01201888904314971,
2.808072707447173,
0.44480695278183,
0.12408019060307945,
-0.9530685465645634,
3.023792118258136,
-0.10079697296699228,
3.1696688106318125,
0.4050585648057619,
-0.049807306465221246,
-1.2253307857285916
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -2.333333333333333,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 16 |
e7056fbb187e68baa5d05b0b9cb6a901 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [45, 109], "expectation_value": -1.8077055331801957, "params": [0.7413000000000001, 0.7648, 0.903, 0.6208, 1.0908, 0.7605000000000001, 0.4484, 0.6702, 1.1026, -0.0155, 1.1019, 0.0046, -0.0019, 0.7994, 1.1034000000000002, 0.10700000000000001, 0.4499, 0.004, 0.7127, 0.0064, 0.9635, 0.0068000000000000005, 0.408... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(0) @ Z(5) @ Z(4)) + -0.125 * (Z(4) @ Z(2) @ Z(5)) + 0.12... | 18 | 8 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["01100010", "10010010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.3483964545021323) q[0];
h q[1];
ry(1.3483964545021323) q[1];
h q[2];
ry(-1.5377717834128013) q[2];
h q[3];
ry(-0.5718354355912505) q[3];
ry(-0.060597795734454125) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[3];
ry(0.5718354355912505) q[3];
cx q[5], q[3];
ry(-0.5... | 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIZIZII",
"IIZIIZII",
"IIZZIIII",
"IIIZIZIZ",
"IIZIIZIZ",
"IIZZIIIZ",
"IIZZIZII",
"IIZZIZIZ",
"IIIIZIZI",
"IIIZIIZI",
"ZIIIIIZI",
"IIIZZIII",
"ZIIIZIII",
"ZIIZIIII",
"IIIZZIZI",
"ZIIIZIZI",
"ZIIZIIZI",
"ZIIZZII... | [
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
-0.125,
-0.125,
-0.125,
-0.125,
0.25,
0.125,
-0.75,... | 0.996817 | [
-1.5377717834128013,
-1.4355349010589802,
1.3483964545021323,
-1.143670871182501,
0.7256483222204215,
-0.3397090750168832,
0.4854071333661133,
-0.3806094686092039,
0.2510875381992757,
-0.09032787450619814,
0.08059260300373108,
0.19771184529814245,
-0.14932726000292476,
-0.10015168483220893... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
d2e3f71e5c020057da0dd1812bdf6517 | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 20, "source": 0, "target": 2}, {"weight": 6, "source": 1, "target": 2}, {"weight": 15, "source": 1, "target... | {"states": [6, 9], "expectation_value": -0.01969475222449618, "params": [[0.0551], [-0.045000000000000005]], "bitstrings": ["1001", "0110"], "total_optimization_steps": 10, "probabilities": [0.0649800938711575, 0.0649800938711575], "optimization_time": 1.5477569103240967} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": 0.0, "smallest_bitstrings": ["1001", "0110"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.1661276350304126) q[0];
rz(0.1368317091350482) q[0];
ry(0.04120953092979138) q[1];
rz(0.6237278116787298) q[1];
cz q[1], q[0];
ry(0.8639209804903288) q[0];
rz(-0.20514548926058004) q[0];
ry(0.1701074616062198) q[1];
ry(0.11262869094573309) q[2];
rz(0.3181473576708... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[... | {"start_node": 0, "end_node": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZIZ",
"ZIZI",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0
] | 0.975208 | [
1.1661276350304126,
0.1368317091350482,
0.04120953092979138,
0.6237278116787298,
0.11262869094573309,
0.3181473576708103,
0.734978694415438,
-0.2651028550205645,
-0.11298443044296277,
-0.5003240831397697,
0.31670140934387114,
0.2559084340847741,
0.0720191758938528,
0.2177008887266607,
0.... | {
"n_parameters": 181,
"n_qubits": 16,
"optimal_eigenvalue": -13.999999999999932,
"target_ratio": 0.97,
"target_value": -13.579999999999934
} | 75 |
6143660857144322503 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 5], [1, 3, 5, 6, 7], [0, 2, 4, 7], [0, 4, 5, 6]]} | {"states": [250, 111], "expectation_value": -0.46066770753037745, "params": [[0.4763], [-0.4753]], "bitstrings": ["00000101", "10010000"], "total_optimization_steps": 50, "probabilities": [0.008473255547525722, 0.00873090241785277], "optimization_time": 3.894683837890625} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(3) @ Z(5)) + 0.05 * (Z(6) @ Z(1)) + 0.08333333333333333 * (... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.95, -0.95, -0.95], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.9499999999999997, "smallest_bitstrings": ["01011000", "00110010", "10010000"], "largest_eigenvalue": 4.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-4.791969607282726e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-4.791969607282726e-08) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(3.132650665903462e-08) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(-1.6927748978526... | 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIIIZIZI",
"IIZIZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZZIIIII",
"IZIIZIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIZIIIII",
"ZIIIZIII",
"ZZIIIIII",
"IIIZIIIZ",
"IIIZIZII",
"IIZZIIII",
"IZIZIIII",
"ZIIZIII... | [
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.13333333333333333,
0.16666666666666666,
0.08333333333333333,
0.05,
0.05,
0.05,
0.08333333333333333,
0.13333333333333333,
0.05,
0.05,
0.08333333333333333,
0.08333333333333333,
0.05,
0.05,
0.05,
0.16666666666666666,
... | 0.824561 | [
-4.791969607282726e-8,
3.132650665903462e-8,
-1.6927748978526306e-7,
-6.2147853030387265e-9,
1.5707962061284413,
1.5707963679714925,
2.8401087260267945e-7,
-1.5707962768518102,
-0.17429466100847682,
-1.5707964023439873
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -0.95,
"target_ratio": 0.97,
"target_value": -0.9215
} | 232 |
eb37df157f972d0ca6ce6f2978928048 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [1, 5], "expectation_value": -2.3020758842887354, "params": [[[0.0032, 0.4908], [0.0022, 0.5987], [0.0028, 0.4263], [0.798, 0.0025], [0.0025, 0.5993], [0.8036000000000001, -0.0038]], [[0.0031000000000000003, 0.0066], [0.0022, 0.0023], [0.002, 0.006200000000000001], [0.795, 0.0047], [0.0025, 0.002900000000000... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(4) + -0.75 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["111010"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.34781260363078503) q[0];
ry(-0.0790730710407612) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.07098067974575972) q[2];
h q[3];
ry(1.191000615298271) q[3];
ry(-0.0919506591296967) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.34781260363078503) q[0];
cx 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": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIIZ",
"IIIZZI",
"IIZZII",
"ZIIIIZ",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-0.25,
-0.5,
-0.5,
-0.25,
1,
-0.25,
-0.25,
0.25,
-0.25,
-0.25,
-0.75,
0.5,
0.5
] | 0.971308 | [
-1.6195195910882816,
-0.6956252072615701,
1.163192809081668,
-0.6409245945835431,
-1.4157079854028858,
-1.4464175889434372,
1.191000615298271,
0.4437522521707178,
-0.5414288192221872,
0.3199884413474384,
-0.09061133362139674,
-0.12627536452462831,
-0.04451483090474981,
-0.07956465144531773... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 6 |
7045b11d9eb140d2e8e06a7ee0e1d0cd | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [84, 11], "expectation_value": -0.1927749811939939, "params": [[0.0599], [-0.0478]], "bitstrings": ["0101011", "1110100"], "total_optimization_steps": 10, "probabilities": [0.008397922868050666, 0.008590694804476755], "optimization_time": 1.683375597000122} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(6) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1110100"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.798431979915152) q[0];
rz(-0.17275331495276713) q[0];
rx(1.3666548082043841) q[1];
rz(-0.31277238259750534) q[1];
cx q[1], q[0];
rz(0.08864831119230795) q[0];
cx q[1], q[0];
rx(0.8659713299684549) q[0];
rz(0.024715793281333553) q[0];
rz(0.21586385189252139) q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[0], q[6];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIIZIZI",
"IZIIIZI",
"IIIZZII",
"ZIIIZII",
"IIIIZZI",
"IIZZIII",
"IZZIIII",
"IIZIIZI",
"IIZIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-0.5,
-1.5,
-1.5,
-1.5
] | 0.976346 | [
0.798431979915152,
-0.08410500376045883,
1.3666548082043841,
-0.31277238259750534,
-0.01681220261025767,
0.24468889229174143,
0.864024809545449,
0.2698839902591586,
0.8626935579031989,
-0.19525182705494754,
0.9085917211537792,
0.29292665515296057,
0.1148664652370519,
-0.5203810048903249,
... | {
"n_parameters": 100,
"n_qubits": 12,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 26 |
92045736fd43235a2eebb6a82d4c1ba7 | 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": [2695, 2691], "expectation_value": -111.56837880038917, "params": [1.3898000000000001, 0.30060000000000003, 0.7219, 0.5672, 1.3827, 0.6142000000000001, 0.42010000000000003, 0.8357, 1.3931, 0.33190000000000003, -0.002, 0.8149000000000001, 0.0025, 0.6529, 0.0027, 1.0170000000000001, 0.0026000000000000003, 0.96... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(4) @ Z(1)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(10) @ Z(1)) + 8.0 * (Z(10) @ Z(4)) + 8.0 * (Z(9) @ Z(0)) + 8.0 * (Z(9) @ Z(10)) + 8.0 * (Z(11) @ Z(3)) + 8.0 * (Z(11) @ Z(10)) + 8.0 * (Z(11) @ Z(9)) + 11.0 * Z(1) + 8.5 * Z(0) + 0.0 * Z(2) + 1.5 * Z(3) + 15.5 * Z(4) + -3.5... | 18 | 12 | 2 | {"smallest_eigenvalues": [-138.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -125.5, "smallest_bitstrings": ["010101111100"], "largest_eigenvalue": 211.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.7821709363806342) q[0];
rz(-0.04127936900884599) q[0];
rx(0.07807912875346162) q[1];
rz(0.2531565557017292) q[1];
rx(1.1049706224299054) q[2];
rz(0.3010986231476373) q[2];
rx(0.22632987422940154) q[3];
rz(0.4021587266697483) q[3];
rx(0.9101881779268903) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIIZIIZI",
"IIIIIIZZIIII",
"IZIIIIIIIIZI",
"IZIIIIIZIIII",
"IIZIIIIIIIIZ",
"IZZIIIIIIIII",
"ZIIIIIIIZIII",
"ZZIIIIIIIIII",
"ZIZIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIIZIII",
"IIIIIIIZIIII",
"IIIIIIZIIIII",
"IZIIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
11,
8.5,
0,
1.5,
15.5,
-3.5,
21.5,
11.5,
17,
-12.5,
-15,
-13
] | 0.976206 | [
0.7821709363806342,
-0.04741905348101952,
0.07807912875346162,
0.2531565557017292,
1.1049706224299054,
0.3010986231476373,
0.22632987422940154,
0.4021587266697483,
0.9101881779268903,
0.30772233393729986,
-0.13985345529966237,
0.2780123289078994,
-0.08114511068518357,
0.515039891870315,
... | {
"n_parameters": 135,
"n_qubits": 12,
"optimal_eigenvalue": -138.5,
"target_ratio": 0.97,
"target_value": -134.345
} | 11 |
17353303993b1768c50654a6177e67ac | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target":... | {"states": [620, 364], "expectation_value": -4.747171273882935, "params": [[1.3907, 1.3947, 0.0015, 0.8702000000000001, 0.8244, -0.0021000000000000003, 0.8374, 0.8586, -0.0014, 0.0031000000000000003], [0.43870000000000003, 1.1573, 0.0039000000000000003, 1.4066, 1.4098000000000002, -0.0022, 1.4015, 1.4037000000000002, -... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) @ Z(9)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.0 * Z(5) + -2.0 * Z(2) + ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["0100110011", "1010010011", "1110000011", "0110010011"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.7640032909505499) q[0];
ry(1.4202384245509116) q[1];
ry(-0.014058974679371943) q[2];
ry(-0.07809027211142366) q[3];
ry(0.4440553869889032) q[4];
ry(-0.1295773399428014) q[5];
ry(0.03598582391769539) q[6];
ry(0.878320963532618) q[7];
ry(-0.012545250958772177) q[8];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIIIIZZI",
"IIIIZIIZII",
"IIIIIZIZII",
"IZIIIIIZII",
"ZIIIIIIZII",
"ZIIIIZIIII",
"IZIIIIZIII",
"IZIZIIIIII",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIZIIIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IZIIIIIIII",
"ZIIIIIIIII",
"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,
-1,
-0.5,
-1,
-2,
-0.5,
-1,
-1,
0,
0,
0
] | 0.971981 | [
1.7640032909505499,
1.4202384245509116,
-0.014058974679371943,
-0.07809027211142366,
0.4440553869889032,
-0.1295773399428014,
0.03598582391769539,
0.878320963532618,
-0.012545250958772177,
0.07619657813188264,
0.9490085701793821,
0.7800615357879738,
0.1236575543646657,
2.795854231917569,
... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 24 |
ceada473950316c985fdaa58a8618609 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 3}, {"weight": 10, "source": 2, "target": 3}, {... | {"states": [189, 109], "expectation_value": -34.70771012208792, "params": [[0.028300000000000002, 0.0016, -0.009600000000000001, -0.0018000000000000002], [-0.07540000000000001, -0.0695, -0.0618, -0.0635]], "bitstrings": ["01000010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.01517324262334129, 0.0... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 167.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.018928191739904274) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.018928191739904274) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.018928191739904274) q[2];
cx q[0], q[2];
rz(0.14657733939079343) q[0];
rx(0.3533677365058779) q[0];
h q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
14,
4.5,
17.5,
13,
15,
23,
6.5,
13.5
] | 0.971601 | [
0.018928191739904274,
-1.2296849783401864,
0.14657733939079362,
-1.2247777007286582,
-0.06013279515597353,
-2.0386095780878914,
-1.6431671013193643,
0.6421356284179992,
-1.8359197421625808,
0.3533677365058779,
-0.05358507740007074,
-0.44427693109859534,
1.4350546521930594,
-0.6327842321609... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -71,
"target_ratio": 0.97,
"target_value": -68.87
} | 68 |
7916492692512935968 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 5], [2, 3, 6], [0, 1], [3, 7], [2, 3, 5], [1, 2, 3], [0, 3], [3, 4]]} | {"states": [175, 86], "expectation_value": -0.013485091310862778, "params": [[0.0252], [-0.0322]], "bitstrings": ["01010000", "10101001"], "total_optimization_steps": 10, "probabilities": [0.0039783023162214244, 0.003982571611563484], "optimization_time": 13.139638662338257} | 0.3333333333333333 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.000000000000001, "smallest_bitstrings": ["10101001"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.5516437583033764) q[1];
cx q[2], q[1];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.5516437583033764) q[5];
cx q[2], q[5];
cx q[1], q[5];
cx q[2], q[3];
rz(0.5991515181378634) q[3];
cx q[2], q[3];
rz(0.0005824875878372133) 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;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[5];
rz(x0) q[5];
cx q[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIZIIZII",
"IIZIIIZI",
"IIIIZZII",
"IIIIZIZI",
"IIZIZIII",
"IZIIIZII",
"IZIIZIII",
"IIIIIIZZ",
"IIIIZIIZ",
"ZIIIZIII",
"IIIZZIII",
"IIIIIZII",
"IIIIIIZI",
"IIZIIIII",
"IIIIZIII",
"IZIIIIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIZIIII"
] | [
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.6666666666666666,
0.33333333333333326,
0.3333333333333333,
0.5,
0.16666666666666666,
0,
0,
0
] | 0.476992 | [
0.5516437583033764,
0.0005824875878372133,
0.5991515181378634,
0.4467252577841243,
-0.6461237798073899,
-0.8866922564757419
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -3.333333333333334,
"target_ratio": 0.97,
"target_value": -3.233333333333334
} | 154 |
0f435eed505f807fb8dc44643dfd43ce | 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": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target"... | {"states": [57, 45], "expectation_value": -2.3679277592957098, "params": null, "bitstrings": ["1000110", "1010010"], "total_optimization_steps": 32, "probabilities": [0.09217217652916268, 0.8898723634495206], "optimization_time": 46.217376708984375} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375, -2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.375, "smallest_bitstrings": ["1010010", "0100110", "0011010", "1000011", "0010110", "1000110"], "largest_eigenvalue": 4.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.366669122515066) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.366669122515066) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.366669122515066) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.366669122515066) q[3];
cx q[0], q[3];
h q[4]... | 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(-1.5158) 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",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIZZIIZ",
"IIIZIZI",
"IZIIIZI",
"ZIIIIZI",
"IZIZIII",
"ZIIZIII",
"ZZIIIII",
"IZIZIZI",
"ZIIZIZI",
"ZZIIIZI",
"ZZIZIII",
"ZZIZIZI",
"IIZIZII",
"ZIIIZII",
"ZIZIIII",
"ZIZIZII",
"IIIIIIZ",
"III... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0,
0.125,
0,
0.125,
0,
-0.625,
0.125
] | 0.608376 | [
0.366669122515066,
0.6186240853904678,
-0.8045916182441789
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 106 |
2211832f5dbcc646309870167bd757ce | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 3, "source": 2, "target": 3}, {"weight": 12, "source": 2, "target": 6}, {"weight": 20, "source... | {"states": [249, 121], "expectation_value": -68.30816723230414, "params": [0.0025, -0.19970000000000002, -0.0002, -0.1757, 0.1836, -0.0853, 0.17830000000000001, -0.0908, 0.3881, 0.0088, 0.39690000000000003, 0.0102, 0.38570000000000004, 0.011300000000000001, 0.3866, 0.0128, 0.3975, 0.0066, 0.3916, 0.0167, 0.396800000000... | 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 11.0 * Z(2) + 11.5 * Z(1) + 15.0 * Z(3) + 15.5 * Z(5) + ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.0, "smallest_bitstrings": ["110000110"], "largest_eigenvalue": 153.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.01665961448529109) q[0];
rz(-0.9393080869752453) q[0];
rx(0.2562534277473143) q[1];
rz(-0.1240450163110749) q[1];
rx(-0.2548957339683143) q[2];
rz(0.3512885968851691) q[2];
rx(0.550740565920435) q[3];
rz(0.10881546701749478) q[3];
rx(0.44009827632847753) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIZIIIZI",
"IIIIZIIZI",
"IIIZZIIII",
"IIZIZIIII",
"IZIIIIZII",
"IZIZIIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIIZ"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
11,
11.5,
15,
15.5,
15,
-0.5,
6.5,
11.5,
-7.5
] | 0.972496 | [
-0.016659614485291095,
-0.9688918420017161,
0.2562534277473143,
-0.024137944577980252,
-0.25489573396831433,
0.2727983813757743,
0.550740565920435,
0.12994198580634536,
0.44009827632847753,
0.05495744568492553,
1.1005134294925738,
-0.5491644305962287,
0.23329672891448194,
-0.03238091362349... | {
"n_parameters": 166,
"n_qubits": 9,
"optimal_eigenvalue": -78,
"target_ratio": 0.97,
"target_value": -75.66
} | 121 |
502ac3914841f8a39fec13c14696a599 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [104, 41], "expectation_value": -4.996464091941417, "params": null, "bitstrings": ["0010111", "1010110"], "total_optimization_steps": 29, "probabilities": [0.06634871135710174, 0.9303659593061054], "optimization_time": 30.140597343444824} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -1.5 * Z(0) + -1.0 * Z(4) + -1.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1010110", "0010111", "1111000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.8684983265511045) q[0];
rz(pi/2) q[0];
ry(0.255042687629887) q[1];
ry(0.6270235032340649) q[2];
ry(0.10369345130738788) q[3];
ry(-0.1107466207667114) q[4];
ry(0.7253557315318361) q[5];
ry(0.6732577738856227) q[6];
ry(0.9500007067136838) q[7];
ry(-0.201047820612152... | 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", ... | [
"IIIIZIZ",
"IIZIIIZ",
"IZIIZII",
"IZIIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"IIZIIZI",
"IZIIIZI",
"IIIZZII",
"IIZZIII",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII"
] | [
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,
-0.5,
-0.5,
-1
] | 0.972658 | [
0.8684983265511045,
0.255042687629887,
0.6270235032340649,
0.10369345130738788,
-0.1107466207667114,
0.7253557315318361,
0.6732577738856227,
0.9500007067136838,
-0.20104782061215257,
0.44742575901306153,
0.09398829212745496,
0.2719687806615443,
-0.017098147540366607,
0.8290958472774026,
... | {
"n_parameters": 88,
"n_qubits": 11,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 49 |
7e730361c33ee13441f322b05b11c58b | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "... | {"states": [511, 4095], "expectation_value": -0.48093179266676156, "params": [[-0.0434], [0.054200000000000005]], "bitstrings": ["111000000000", "000000000000"], "total_optimization_steps": 10, "probabilities": [0.00030805878329788597, 0.00031166626837951056], "optimization_time": 2.0475544929504395} | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * (Z(11) @ Z(9)) + -2.0 * (Z(11) @ Z(8)) + 0.5 * (Z(10) @ Z(8)) + -1.5 * (Z(10) @ Z(11)) + -1.5 * Z(2) + 1.0 * Z(0) + 1.0 * Z(1) + 0.5... | 1 | 12 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["000000000000"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.044223479198179524) q[0];
ry(0.0829496246119744) q[1];
ry(0.0829496246119744) q[2];
ry(0.0829496246119744) q[3];
ry(0.0748693501169942) q[4];
ry(0.0829496246119744) q[5];
ry(0.0829496246119744) q[6];
ry(0.0829496246119744) q[7];
ry(0.0829496246119744) q[8];
ry(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIIZZ",
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIZZIIIIII",
"IIZZIIIIIIII",
"ZIZIIIIIIIII",
"ZIIZIIIIIIII",
"IZIZIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIZII",
"IIIIIIIIIIIZ",
"IIIIIIIIIIZI",
"IIIIIIIZIIII",
"IIIIIIIIZIII",
"IIIIIIZII... | [
-2,
-2,
0.5,
-1.5,
-1.5,
0.5,
-1,
-1.5,
0.5,
-2,
0.5,
-1.5,
-1.5,
1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.977577 | [
0.044223479198179524,
0.0829496246119744,
0.0748693501169942,
-0.13222399021101078,
-0.0014708636408147027,
2.9936255495001913,
0.12452711556513718,
-0.05067453804275659,
-0.0228302836868937,
0.04790452824422341,
0.1452622133718065,
0.2199068775239495,
-0.019067456807169196
] | {
"n_parameters": 13,
"n_qubits": 12,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 18 |
349470e51b3762ef23fcf6a851dc8e1d | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 6}, {"weight": 17, "source": 0, "target": 4}, {"weight": 14, "source": 1, "tar... | {"states": [183, 236], "expectation_value": -32.30168716450327, "params": null, "bitstrings": ["101001000", "100010011"], "total_optimization_steps": 100, "probabilities": [0.0750201672319876, 0.1277175651009538], "optimization_time": 204.4003291130066} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 178.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-1.187618942044145) q[0];
rz(-pi) q[0];
ry(-1.7599687068313097) q[1];
rz(-pi) q[1];
ry(-2.7040617186935703) q[2];
rz(-pi) q[2];
ry(-0.10990882509845053) q[3];
rz(-pi) q[3];
h q[4];
h q[5];
ry(-10.643298077408872) q[5];
cx q[5], q[2];
ry(3.008064639452315) q[2];
cx q[... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-13.4106) 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] =... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZIIIZI",
"IIIZZIIII",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
17.5,
6,
19,
16,
15,
3,
20.5,
4,
5.5
] | 0.970937 | [
-13.288635788926834,
16.707700645710162,
11.485587843730611,
-0.9038899663022613,
-10.643298077408872,
-6.01612927890463,
20.480329132293395,
27.318865921395695,
62.90566641834019,
13.936401089901285,
5.513059194653318,
-12.449127416427855,
36.78513038048737,
24.77404810964382,
0.0121719... | {
"n_parameters": 81,
"n_qubits": 9,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 100 |
c5d57071b024d109c38c43678d62eaf1 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}]} | {"states": [0, 1], "expectation_value": -5.7499999999705125, "params": null, "bitstrings": ["111", "110"], "total_optimization_steps": 7, "probabilities": [4.65539676913598e-12, 0.9999999999950338], "optimization_time": 1.6321418285369873} | -1.25 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -1.25 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) | 1 | 3 | 3 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["110"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.770690699219718) q[0];
h q[1];
ry(1.4871712470846223) q[1];
ry(-2.708001184483433) q[2];
rz(-pi) q[2];
cx q[1], q[2];
ry(-0.4298731353811252) q[2];
cx q[1], q[2];
cx q[1], q[0];
ry(-0.770690699219718) q[0];
cx q[1], q[0];
ry(0.1454074864826947) q[0];
ry(-0.... | null | {"source": 0, "sink": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(1.5708) q[2];\nry(-1.5708) q... | [
"IZZ",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
-1.25,
1.5,
-1.25,
-0.25,
1.5
] | 0.998049 | [
0.707331722307411,
1.4871712470846223,
0.8597462707622504,
-1.3799562985781975,
-1.4711756176015598,
1.541381398439436,
-1.3965271552689695,
-0.16148817852256322,
-0.2575056935640775,
0.2663957319896916,
-0.1803796305048725,
0.0016697777359003935,
-0.24197649101399368
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -9.3,
"target_ratio": 0.97,
"target_value": -9.021
} | 1 |
-3098183377770284745 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[1, 12], [12, 6], [2, 7], [8, 9], [0, 11], [8, 5], [4, 6], [11, 4], [10, 2], [3, 6], [2, 5], [2, 6], [5, 7], [0, 8], [2, 12], [3, 11], [1, 2], [8, 3], [11, 5], [0, 7], [2, 11], [11, 7], [0, 3], [9, 5], [1, 11], [9, 3], [8, 4], [3, 5], [8, 7], [4, 5], ... | {"states": [815, 7376], "expectation_value": -0.26270890135745245, "params": [[-0.0524], [0.0645]], "bitstrings": ["1110011010000", "0001100101111"], "total_optimization_steps": 10, "probabilities": [0.00015417327003186673, 0.00015417327003186673], "optimization_time": 12.004493713378906} | 0.5 * (Z(1) @ Z(12)) + 0.5 * (Z(6) @ Z(12)) + 0.5 * (Z(2) @ Z(12)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(12)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z... | 1 | 13 | 1 | {"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["0001100101111", "1110011010000"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(-0.57331046650689) q[0];
rz(-0.009164078149331054) q[0];
ry(-1.1164540883316347) q[1];
ry(0.7986052623190395) q[2];
ry(1.2384133317849102) q[3];
ry(1.675389488229226) q[4];
ry(0.0328230529795073) q[5];
ry(0.6196941479223702) q[6];
ry(1.6203834564472466) q[7];
ry(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[13] c;
qubit[13] 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];
cx q[12], q[1];
rz(x0) q[1];
cx q[12], q[1];
cx q[12], q[6];
rz(x0) q[6];
cx q[12], q[6];
c... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIIIIIZI",
"ZIIIIIZIIIIII",
"ZIIIIIIIIIZII",
"IIIIIIIIIIZZI",
"IIIIIIZIIIZII",
"IIIIIZIIIIIZI",
"IIIIIZIIIIZII",
"ZIIIZIIIIIIII",
"IIIIZIIIIIZII",
"IIIIZZIIIIIII",
"IIIZIIIIIIIZI",
"IIIZIIIIIIZII",
"IIIZZIIIIIIII",
"IIIIIZIIIIIIZ",
"IIIIZIIIIIIIZ",
"IZIIIIIIIIIZI",
"IZIIIIIIIIZ... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0... | 0.975206 | [
-0.57331046650689,
-1.1164540883316347,
0.7986052623190395,
1.2384133317849102,
1.675389488229226,
0.0328230529795073,
0.6196941479223702,
1.6203834564472466,
-0.09633022571352838,
1.1708223706797607,
1.2655012450175862,
1.5632391862317048,
1.5587764173462777,
-0.018328156298662107,
0.03... | {
"n_parameters": 51,
"n_qubits": 13,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 52 |
87e4a0ae0cc3528b58dd801d18946847 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 3}, {"capac... | {"states": [512, 511], "expectation_value": -12.88236417488769, "params": [[[-0.018000000000000002, -0.0034000000000000002], [0.0039000000000000003, 0.1991], [0.0023, -0.0018000000000000002], [0.0032, -0.0025], [0.0001, 0.0028], [0.0023, -0.0029000000000000002], [0.0041, 0.0033], [0.0025, -0.0024000000000000002], [-1.3... | -0.5 * (Z(0) @ Z(3)) + -1.5 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -1.0 * (Z(1) @ Z(6)) + -0.25 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + 1.0 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(1)) + -1.0 * (Z(2) @ Z... | 15 | 10 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.10041553024668713) q[0];
ry(-0.09710686624726408) q[1];
ry(-0.051164578508165214) q[2];
ry(0.027927218774814133) q[3];
ry(-0.11817566821676258) q[4];
ry(-0.051164578508165214) q[5];
ry(0.05827126729221757) q[6];
ry(-0.021945337310385633) q[7];
ry(-1.5536575643343... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIZIIZIII",
"IIIZIIIIIZ",
"IIIIIIZIZI",
"IIIZIIIIZI",
"IIIZZIIIII",
"IIIIZIIIZI",
"IIZIIIZIII",
"IIZZIIIIII",
"IIZIIIIIZI",
"ZIIIIIIIIZ",
"ZIIZIIIIII",
"ZIIIIIIIZI",
"IIIIIIZZII",
"IIIZIIIZII",
"IIIIZIIZII",
"IIIIIZZIII",
"IIZIIZIIII",
"ZIIIIZIIII",
"IZIIIIZIII"... | [
-0.5,
-1.5,
-0.25,
-0.75,
-1,
-0.25,
-1,
-0.75,
-0.25,
-0.25,
1,
-1,
-0.5,
-1,
-0.25,
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-0.25,
-0.75,
-0.75,
1.25,
-0.25,
1,
0.5,
-1.5,
-0.25,
-1.5,
1,
-1,
0.75
] | 0.971826 | [
-0.10041553024668713,
-0.09710686624726408,
-0.051164578508165214,
0.027927218774814133,
-0.11817566821676258,
0.05827126729221757,
-0.021945337310385633,
-1.5536575643343709,
0.6555656808859517,
0.003519904640110153,
0.11709112729487078,
0.036988057311156924,
0.005160926649853461,
0.01084... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 70 |
-1615585927108024055 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 9, 1, 6], [9, 5, 6, 7], [8, 2, 3, 4], [1, 2, 7], [0, 2, 4, 7], [1, 4, 5], [0, 1, 4, 7], [8, 9, 4, 6], [0, 6], [8, 9, 2, 4], [1, 3, 7], [2, 3, 5], [3, 6], [8, 3, 7], [1, 4, 9], [8, 1, 2, 4], [1, 5, 7], [8, 9, 3]]} | {"states": [851, 979], "expectation_value": -4.270123379611107, "params": [[[3.1396, 0.0019], [3.1399000000000004, 0.0001], [1.6403, 0.0011], [3.1386000000000003, 0.0019], [0.5372, 0.0094], [3.1395, 0.0054], [0.0019, 0.0054], [0.5433, 0.006900000000000001], [3.1396, 0.005200000000000001], [3.1396, 0.0066]]], "bitstring... | 0.41666666666666663 * (Z(8) @ Z(9)) + 0.25 * (Z(1) @ Z(9)) + 0.16666666666666666 * (Z(1) @ Z(8)) + 0.25 * (Z(6) @ Z(9)) + 0.16666666666666666 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(9)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(6)) + 0.0833333... | 1 | 10 | 1 | {"smallest_eigenvalues": [-4.666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.499999999999999, "smallest_bitstrings": ["0000101100"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(3.0547147884131105) q[0];
rz(0.20273808672410842) q[0];
rx(3.2536332782867237) q[1];
rz(-0.07303858357659843) q[1];
rx(2.5301576935892407) q[2];
rz(-0.02602915517322822) q[2];
rx(3.0381356969627458) q[3];
rz(0.20273808672410842) q[3];
rx(-0.1853775398118016) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"ZZIIIIIIII",
"ZIIIIIIIZI",
"IZIIIIIIZI",
"ZIIZIIIIII",
"IZIZIIIIII",
"IIIZIIIIZI",
"ZIIIZIIIII",
"IIIIZIIIZI",
"IIIZZIIIII",
"ZIZIIIIIII",
"IZZIIIIIII",
"IIZIIIIIZI",
"IIZZIIIIII",
"IIZIZIIIII",
"ZIIIIIIZII",
"IZIIIIIZII",
"IIIIIIIZZI",
"IIIIZIIZII",
"IIZIIIIZII",
"ZIIIIIZIII"... | [
0.41666666666666663,
0.25,
0.16666666666666666,
0.25,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.3333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.5833333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.25,
0.25,
0.... | 0.973741 | [
3.0547147884131105,
0.20273808672410842,
3.2536332782867237,
-0.07303858357659843,
2.5301576935892407,
-0.02602915517322822,
3.0381356969627458,
-0.1853775398118016,
0.1651100527552904,
2.8761784801101773,
0.018930752862431604,
0.03955493002712401,
0.14514589540978212,
0.07077576339246362,... | {
"n_parameters": 15,
"n_qubits": 10,
"optimal_eigenvalue": -4.666666666666667,
"target_ratio": 0.97,
"target_value": -4.526666666666666
} | 8 |
b4844a241e7c75ea7eb690acd3c4c004 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [1, 2], "expectation_value": -0.8831399904840991, "params": null, "bitstrings": ["110", "101"], "total_optimization_steps": 8, "probabilities": [0.12891599074045149, 0.7538151034229991], "optimization_time": 1.8083715438842773} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) | 1 | 3 | 1 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "101", "011"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) q[0];
| null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[0];\ncry(-1.0398... | [
"IZZ",
"ZZI",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5
] | 0.999879 | [
-0.13358933430461783,
0.05925579854844312,
0.1941292476304146,
-0.0004540644499549003,
-0.07413458086647713,
0.10747849798655963
] | {
"n_parameters": 6,
"n_qubits": 1,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 1 |
a3321da1469fc4651f7b228a11447db0 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 16, "source": 1, "target": 7}, {"weight": 2, "source": 2, "target": 3}, {"weight": 15, "source... | {"states": [185, 177], "expectation_value": -39.978679540866395, "params": [[[0.0018000000000000002, 0.8432000000000001], [1.1886, -0.0027], [0.0035, 0.36960000000000004], [1.1928, 0.0026000000000000003], [1.2086000000000001, -0.001], [0.7325, 0.2262], [0.0031000000000000003, 0.8028000000000001], [0.5955, 0.2922], [1.1... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 2.0 * Z(1) + -7.5 * Z(0) + 2.5 * Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.5, "smallest_bitstrings": ["101001110"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.021748263608550023) q[0];
rz(-0.466453558315866) q[0];
rx(2.9437165784173582) q[1];
rz(-0.26025728227870015) q[1];
rx(0.18991245950331614) q[2];
rz(0.20490283277014587) q[2];
rx(-3.0883921065676687) q[3];
rz(-0.23542310808847944) q[3];
rx(3.04494277980165) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIZZIIII",
"IIZZIIIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIZIIII",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
2,
-7.5,
2.5,
-6,
-2,
1.5,
-9.5,
4.5,
7
] | 0.972944 | [
-0.02174826360855002,
-0.5885827258686265,
2.9437165784173582,
-0.10221244161152676,
0.18991245950331614,
0.1366018885134308,
3.194793200611918,
-0.30227224749836146,
3.04494277980165,
-0.8742166100730082,
0.39686941133434583,
0.2401265738236874,
0.11554044241435951,
-0.31608968133434695,
... | {
"n_parameters": 23,
"n_qubits": 9,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 16 |
347cd23786ada5a7ec96f3799dd0d8dc | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 19, "source": 1, "target": 5}, {"weight": 12, "source": 1, "target": 4}, {... | {"states": [118, 117], "expectation_value": -11.360079745921023, "params": [[0.0475], [-0.0897]], "bitstrings": ["10001001", "10001010"], "total_optimization_steps": 10, "probabilities": [0.008368012414318334, 0.01051888926421875], "optimization_time": 1.8249022960662842} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 5.5 * Z(1) + 4.5 * Z(0) + 18.0 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["10001010"], "largest_eigenvalue": 135.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.7996058083707251) q[0];
rz(-0.13258950846490603) q[0];
rx(-0.04589737538281516) q[1];
rz(0.1799801397254761) q[1];
rx(0.16186570142550433) q[2];
rz(0.3133290356743821) q[2];
rx(0.8227815263736653) q[3];
rz(0.05776948433549922) q[3];
rx(0.7161871771895253) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5.5,
4.5,
18,
13.5,
2.5,
16.5,
9,
13.5
] | 0.971014 | [
0.7996058083707254,
0.006182936667641672,
-0.04589737538281516,
0.22768974747763632,
0.16186570142550433,
0.396073894945569,
0.8227815263736652,
0.013998181878018726,
0.7161871771895254,
0.15083729154297,
0.03143464359904234,
0.3059757219065661,
0.640600425668681,
0.1741861116929011,
0.3... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 8 |
7bc4dde9a09d0b94c5097b219891d81a | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [32491, 32235], "expectation_value": -16.068460738624786, "params": [0.7695000000000001, 0.3889, 1.578, 0.1121, 0.8251000000000001, 0.33290000000000003, 1.5791000000000002, -0.001, 1.5770000000000002, -0.0023, 1.5829, 0.09820000000000001, 0.8072, 0.4212, 0.8280000000000001, 0.4207, 1.5730000000000002, 0.0716... | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.25 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(... | 18 | 16 | 2 | {"smallest_eigenvalues": [-19.999999999999847], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999815, "smallest_bitstrings": ["1000001000010100"], "largest_eigenvalue": 68.00000000000028} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 0}, {"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 0}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIZIIZIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIIIIIZZIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
... | 0.987235 | [
0.11953274834359354,
0.2854334628168601,
-0.11213716823678,
0.2175735915324961,
0.058537607426864216,
-0.2041489905535785,
1.195421164250731,
-0.0853700569336958,
0.21361350790414543,
0.08320735516977537,
-0.038044942888873196,
-0.02371278444846299,
-0.1628380576660834,
0.9476996835334291,... | {
"n_parameters": 22,
"n_qubits": 4,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 5 |
339c7fe0000b9f3d24083d98998c20d8 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 1, "target": 4}, {"capaci... | {"states": [49, 17], "expectation_value": -11.16581569909803, "params": null, "bitstrings": ["001110", "101110"], "total_optimization_steps": 41, "probabilities": [0.3178122281742425, 0.38263760981447176], "optimization_time": 33.18229818344116} | -1.5 * (Z(0) @ Z(3)) + -2.25 * (Z(4) @ Z(3)) + -1.75 * (Z(4) @ Z(0)) + 3.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -1.25 * Z(3) + -0.25 * Z(0) + -2.75 * Z(4) + 3.0 * Z(5) + 1.75 * Z(1) + -0.5 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "smallest_bitstrings": ["101110"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.2133399821377441) q[0];
rz(-pi) q[0];
h q[1];
ry(0.7495760698632566) q[1];
h q[2];
ry(-0.08887877219422799) q[3];
rz(-pi) q[3];
ry(-0.19278541536231975) q[4];
rz(-pi) q[4];
h q[5];
ry(1.391295280431935) q[5];
cx q[5], q[4];
ry(-0.3176700012489248) q[4];
cx q[5], q... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5709) 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 \"stdgat... | [
"IIZIIZ",
"IZZIII",
"IZIIIZ",
"ZIIIIZ",
"IZIIZI",
"ZIIIZI",
"IIZZII",
"IZIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIIZII"
] | [
-1.5,
-2.25,
-1.75,
3.5,
-1.25,
-0.5,
-0.5,
-1,
-1.25,
-0.25,
-2.75,
3,
1.75,
-0.5
] | 0.975641 | [
1.391295280431935,
-2.0329462789083035,
-1.6956809126815016,
-1.1529907529787395,
0.6353400024978496,
-0.45032158544803697,
-0.6578536032438583,
1.4991521397265133,
-0.28415573829494634,
-1.8771011169893437,
0.14516579000424013,
1.3509798685023018,
-0.8662456018688108,
-1.517406511507313,
... | {
"n_parameters": 23,
"n_qubits": 6,
"optimal_eigenvalue": -19.25,
"target_ratio": 0.97,
"target_value": -18.6725
} | 21 |
18312d59afcaa473ce6d4f831ea41fc6 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [127, 2047], "expectation_value": -18.293829736146144, "params": [[[-0.0027, 0.00030000000000000003], [-0.0023, 0.0008], [-0.0021000000000000003, 0.0054], [1.5088000000000001, 0.0076], [0.0021000000000000003, 0.0046], [0.002, 0.0092], [1.4774, 0.0073], [-0.0024000000000000002, 0.009000000000000001], [-0.0029... | -2.0 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + -2.0 * (Z(10) @ Z(8)) + -2.0 * (Z(10) @ Z(7)) + -2.0 * (Z(10) @ Z(9)) ... | 2 | 11 | 1 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.7644639268250785) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-0.07588315846543227) q[3];
cx q[2], q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(-0.7644639268250785) q[1];
cx q[2], q[1];
rz(-0.43871430403190725) q[2];
rx(-1.0294... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIIIZZ",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZIZIIIIIIII",
"ZIIZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIIIIZI",
"IIIIIZIII... | [
-2,
0.5,
-1.5,
-2,
0.5,
-1.5,
-1.5,
-1.5,
-2,
1,
-2,
-2,
-2,
-2,
1,
0.5,
0.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.606139 | [
-0.7644639268250785,
-0.07588315846543227,
-1.1341848658679192,
-0.43871430403190737,
-1.060187901259127,
-1.0294517932819627
] | {
"n_parameters": 6,
"n_qubits": 11,
"optimal_eigenvalue": -22.5,
"target_ratio": 0.97,
"target_value": -21.825
} | 162 |
74f3db266dbfc29b2e3165b97e91cad0 | 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": 6, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [3, 11], "expectation_value": -11.744067232954524, "params": [-0.0001, 0.46540000000000004, -0.0047, 0.6547000000000001, -0.0045000000000000005, 0.6682, 0.43220000000000003, -0.007, -0.0016, 0.6656000000000001, 0.7976000000000001, 0.1579, 0.7806000000000001, -0.0026000000000000003, -0.0033, 0.5574, -0.004500... | -1.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 3.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -2.25 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.25 * Z(4) + 0... | 3 | 7 | 4 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["1110100"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.04184615944811212) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.45664904095762016) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.12895850687487254) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.12895850687487254) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"IZIIZII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
-1.5,
-0.25,
-1.25,
-1.25,
-1.25,
-0.5,
3.25,
-1.25,
-0.75,
-1.5,
-0.75,
-2.25,
-0.25,
-1.75,
1.25,
0.75,
0,
2.25
] | 0.970066 | [
-0.04184615944811212,
0.45664904095762016,
0.12895850687487254,
-0.03723472961299448,
-0.21737936292996754,
0.029373184406209597,
0.6374450655047218,
0.5801198435909705,
0.9287483803293076,
-1.0246339813489909,
-0.8274406081529805,
-1.1072203716599882,
1.4433797659572527,
-0.16463148373233... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 114 |
91ee5f0f4255f3e469e33f428a617749 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 20, "source": 0, "target": 5}, {"weight": 15, "source": 1, "tar... | {"states": [490, 234], "expectation_value": -60.57797444609, "params": [0.8007000000000001, -0.3891, 1.4887000000000001, -0.0027, 1.4904000000000002, -0.0027, 1.5005000000000002, 0.17750000000000002, 0.4838, 0.45470000000000005, 1.5016, 0.1564, 0.6815, 0.4627, 1.4969000000000001, 0.2599, 0.4636, 0.5561, 0.8057000000000... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 14.5 * Z(1) + 8.5 * Z(0) + 14.5 * ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 146.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1029303655620119) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.1029303655620119) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1029303655620119) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.1029303655620119) q[3];
cx q[0], q[3];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIZZIIII",
"IIZIIIZII",
"IIZIIZIII",
"IZIIIZIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"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,
14.5,
8.5,
14.5,
12,
3.5,
11.5,
7.5,
13,
3
] | 0.974467 | [
0.1029303655620119,
1.0465998757504669,
0.23951340859321296,
1.8119189140346126,
-0.6838871026721113,
1.1761664275029378,
-0.28379909071408294,
0.5399637562985133,
-1.3515877448197355,
-0.1889742116324448,
-0.11332813777595517,
0.4520013129626884,
-1.7022300146239937,
-0.34242647087101163,... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -74.5,
"target_ratio": 0.97,
"target_value": -72.265
} | 66 |
1e191a11f35582298737a38bddb93633 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": ... | {"states": [256, 264], "expectation_value": -25.87557772628717, "params": [-0.0009000000000000001, 0.006500000000000001, -0.0025, -0.00030000000000000003, -0.004200000000000001, -0.004, 0.307, 0.3024, -0.0017000000000000001, -0.0013000000000000002, -0.008, -0.0016, -0.0088, -0.0013000000000000002, -0.004, -0.0045000000... | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(10) @ Z(0)) + -0.75 * (Z(10) @ Z(6)) + -0.25 * (Z(11) @ Z(0)) + -0.25 * (Z(11) @ Z(4)) + -1.75 * (Z(11) @ Z(6)) + -1.0 * (Z(11) @ Z(10)) + -1.0 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(4)) + -1.5 ... | 14 | 12 | 3 | {"smallest_eigenvalues": [-28.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.5, "smallest_bitstrings": ["111011110111"], "largest_eigenvalue": 27.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.12215821646063887) q[0];
rz(pi/2) q[0];
ry(-0.12569544221765014) q[1];
ry(0.05497722570716877) q[2];
ry(0.21805274698586835) q[3];
ry(0.10051210072289729) q[4];
ry(0.11323463681351836) q[5];
ry(0.16964548084779274) q[6];
ry(0.13744902978504647) q[7];
ry(0.3524138... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IZIIIIIIIIIZ",
"IZIIIZIIIIII",
"ZIIIIIIIIIIZ",
"ZIIIIIIZIIII",
"ZIIIIZIIIIII",
"ZZIIIIIIIIII",
"IIIIIIZIIIZI",
"IIIIIIZZIIII",
"ZIIIIIZIIIII",
"IIIIZIIIIIZI",
"IIIIZIIZIIII",
"IZIIZIIIIIII",
"ZIIIZIIII... | [
-0.5,
-0.75,
-0.5,
-0.25,
-0.75,
-0.25,
-0.75,
-0.25,
-0.25,
-1.75,
-1,
-1,
-0.25,
-1.5,
-1.25,
-1,
-1.75,
-1,
-0.25,
-1,
-0.75,
-0.75,
-1,
-1.75,
-1,
2.5,
-0.25,
-1,
-0.5,
-0.75,
-0.5,
-0.75,
-0.5,
-0.5,
1.75,
-0.25,
0.75,
-2.5,
0.25,
1.... | 0.971368 | [
-0.12215821646063887,
-0.12569544221765014,
0.05497722570716877,
0.21805274698586835,
0.10051210072289729,
0.11323463681351836,
0.16964548084779274,
0.13744902978504647,
0.35241382920821174,
0.06146342793739926,
-0.03761530527361674,
-0.03749665349489062,
0.3314581834487027,
0.221449767023... | {
"n_parameters": 152,
"n_qubits": 12,
"optimal_eigenvalue": -28.5,
"target_ratio": 0.97,
"target_value": -27.645
} | 9 |
ca73abee2b018455955f199f9f478c21 | 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": 5, "target": 8}, {"sour... | {"states": [0, 239], "expectation_value": -8.886563177821792, "params": [-0.0269, 1.8239, 0.3105, 1.8183, 0.6977, 0.7202000000000001, -0.0024000000000000002, 1.7098, 0.7437, 1.3125, -0.0656, 1.3914, 0.7117, 1.4147, 0.0244, 1.2564, -0.6632, 0.5971000000000001, 0.08310000000000001, -0.013600000000000001, 0.78450000000000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(4) @ Z(7)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(7) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(6) + -0.5 * Z(3) | 6 | 8 | 2 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["00010000"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.1173649196577655) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.1173649196577655) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.19041678172141685) q[1];
rx(-0.9921637536539339) q[1];
rz(-1.1173649196577655) q[2];
cx q[0], q[2];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"ZIIZIIII",
"ZIZIIIII",
"IIZZIIII",
"ZZIIIIII",
"IZIZIIII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"ZIIIIIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIZIII"
] | [
-1.5,
-1.5,
-1.5,
-2,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.552157 | [
-1.1173649196577655,
-0.8140818284613563,
-0.19041678172141696,
-1.5707962241384403,
-0.992163753653934
] | {
"n_parameters": 5,
"n_qubits": 8,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 163 |
fae06182b4dd84aac963af755062d831 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 5, "target":... | {"states": [480, 511], "expectation_value": -1.1460715969526039, "params": [[0.0728], [-0.0738]], "bitstrings": ["000011111", "000000000"], "total_optimization_steps": 10, "probabilities": [0.0029342197112032418, 0.003128601735527833], "optimization_time": 2.5162014961242676} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + -2.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["000000000"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.9525426732760441) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.8852648635640409) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.25519165869718496) q[2];
cx q[0], q[2];
rz(-0.25519165869718474) q[0];
rx(-0.8700833877600284) q[0];
h q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x1) q[2... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIZZIIII",
"IZIZIIIII",
"IZIIZIIII",
"IIZZIIIII",
"IZZIIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
-1.5,
-2,
0.5,
0.5,
-1.5,
-2,
-2.5,
0.5,
0.5,
-2,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1,
1,
0.5,
0.5
] | 0.518021 | [
-0.9525426732760441,
-0.8852648635640409,
-0.25519165869718496,
-0.6341383198516614,
-0.22327309000629392,
-0.8700833877600282
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 164 |
ed17940d27aebadda70c31c5b11d2e16 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 9, "source": 0, "t... | {"states": [442, 218], "expectation_value": -27.364225884653045, "params": [[-0.047, -0.0028, 0.007500000000000001, 0.010100000000000001], [0.07830000000000001, 0.0636, 0.059800000000000006, 0.0589]], "bitstrings": ["001000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.013148862618457291, 0.016... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(8)) + 6.0 * Z(1) + 9.0 * Z(0) + 15.5 * Z(2) + 11.0 * Z(4) + 7.... | 1 | 9 | 4 | {"smallest_eigenvalues": [-70.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 128.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.15866672171331941) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.15866672171331941) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.15866672171331941) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(-0.15866672171331941) 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[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIIZZII",
"IIIIZZIII",
"IIIZIIIIZ",
"IIIZIIZII",
"IIZIIIIZI",
"IIZZIIIII",
"ZIIIZIIII",
"IZIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"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,
6,
9,
15.5,
11,
7.5,
13,
2,
1.5,
9
] | 0.971003 | [
-0.15866672171331941,
-1.0809071203107758,
-0.30064965839619345,
-0.5102877140178146,
-0.8733998782451885,
1.0885724300439001,
-1.0913168284595332,
0.13810257412133115,
0.9133195435550004,
1.5142771870202085,
-0.5131275809009203,
-1.1831791592560787,
-0.05769660481193879,
-1.33952116695893... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -70.5,
"target_ratio": 0.97,
"target_value": -68.385
} | 275 |
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