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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
00fe25d4a425253f426d2d6c8e4bc3c4 | 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": [629, 613], "expectation_value": -87.21885164187293, "params": [[[0.6312, 0.0453], [0.7055, 0.0698], [0.11270000000000001, 0.0395], [0.031100000000000003, 0.033100000000000004], [0.6963, 0.3693], [0.32130000000000003, 0.5152], [0.32220000000000004, 0.4852], [0.056600000000000004, 0.2775], [0.6454000000000001... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(5)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(4) @ Z(6)) + 6.5 * (Z(8) @ Z(0)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(9) @ Z(4)) + 6.5 * (Z(10) @ Z(0)) + 6.5 * (Z(10) @ Z(8)) + 6.5 * (Z(10) @ Z(9)) + 7.0 * Z(0) + 6.5 * Z(1) + 12.5 * Z(5) + -2.5 * Z(3) +... | 15 | 11 | 4 | {"smallest_eigenvalues": [-117.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -99.0, "smallest_bitstrings": ["10110011010"], "largest_eigenvalue": 163.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.2527496496923325) q[0];
ry(0.6011130659703916) q[1];
ry(-0.06779673216857639) q[2];
ry(0.053566916140343715) q[3];
ry(0.6955435524189647) q[4];
ry(0.7835123461635366) q[5];
ry(-0.03517858801614326) q[6];
ry(-0.1811929435759816) q[7];
ry(0.6852867261901597) q[8];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIZIZIII",
"IIIIZIIIIZI",
"IIIIZZIIIII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIZIIIIIIIZ",
"IIZZIIIIIII",
"IZIIIIZIIII",
"ZIIIIIIIIIZ",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIZIIIII",
"IIIIIIIZIII",
"IIIIZIIIIII",
"IIIIIIZIIII",
"IIZIIIIII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
7,
6.5,
12.5,
-2.5,
8,
16.5,
13.5,
-4,
1.5,
15,
-11
] | 0.971576 | [
1.2527496496923325,
0.6011130659703916,
-0.06779673216857639,
0.053566916140343715,
0.6955435524189647,
0.7835123461635366,
-0.03517858801614326,
-0.1811929435759816,
0.6852867261901597,
0.12474713339894675,
0.3075857177048359,
0.05029243541398778,
0.014558512735108484,
0.00953945777057598... | {
"n_parameters": 88,
"n_qubits": 11,
"optimal_eigenvalue": -117,
"target_ratio": 0.97,
"target_value": -113.49
} | 59 |
b92b38a0dbc3e1289d9c44b7d3398828 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [90, 91], "expectation_value": -76.92206374275445, "params": [[[0.9127000000000001, -0.0031000000000000003], [0.0111, -0.0018000000000000002], [-0.0173, -0.00030000000000000003], [1.0811, 0.24020000000000002], [0.1221, 0.2727], [0.1567, 0.6842], [0.11080000000000001, 1.0401], [0.0514, 1.0733000000000001], [0... | 7.0 * (Z(1) @ Z(3)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(0) @ Z(6)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(4) @ Z(6)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(9) @ Z(3)) + 7.0 * (Z(9) @ Z(1)) + 16.5 * Z(3) + 2.0 * Z(1) + 3.5 * Z(2) + 15.0 * Z(6) + -2.5 * Z(0) + 16.0 * Z(5) + 3.0 * Z(4) + -3.0 ... | 15 | 10 | 3 | {"smallest_eigenvalues": [-93.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -85.0, "smallest_bitstrings": ["1110100100"], "largest_eigenvalue": 127.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.0590440100692264) q[0];
ry(0.04614067122919094) q[1];
ry(-0.1534368390034434) q[2];
ry(1.2599264237838126) q[3];
ry(0.22936416895008457) q[4];
ry(0.10385412824267905) q[5];
ry(0.14290374327600353) q[6];
ry(-0.050348940604410156) q[7];
ry(0.803525601036826) q[8];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIZIIIIIZ",
"IIIZZIIIII",
"IIIZIZIIII",
"IIIIZZIIII",
"IIZIZIIIII",
"IZIIIIIZII",
"ZIIIIIZIII",
"ZIIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIZIIIIII",
"IIIIIIIIIZ",
"IIIIZIIIII",
"IIIIIZIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
16.5,
2,
3.5,
15,
-2.5,
16,
3,
-3,
0.5,
6
] | 0.971511 | [
1.0590440100692264,
0.04614067122919094,
-0.1534368390034434,
1.2599264237838126,
0.22936416895008457,
0.10385412824267905,
0.14290374327600353,
-0.050348940604410156,
0.803525601036826,
0.49342287437180116,
-0.01432780757676188,
-0.06699217806097145,
-0.024841549545391056,
0.1233682159276... | {
"n_parameters": 60,
"n_qubits": 10,
"optimal_eigenvalue": -93,
"target_ratio": 0.97,
"target_value": -90.21
} | 66 |
e58428a6900eb2eef0cb4731fd8b4a99 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6... | {"states": [33, 45], "expectation_value": -11.493643507879883, "params": null, "bitstrings": ["1011110", "1010010"], "total_optimization_steps": 48, "probabilities": [0.21071138695011513, 0.7829323989572221], "optimization_time": 48.34622287750244} | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(6) @ Z(1)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(4) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + -2.5 * Z(5) + 1.75 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-11.5, -11.5, -11.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.5, "smallest_bitstrings": ["1111110", "1010010", "1011110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(1.690944416721413) q[0];
ry(0.054699542645833876) q[0];
rz(-1.1769404323163797) q[0];
rz(-2.3881872169052443) q[1];
ry(0.20723270974804353) q[1];
rz(-2.857031240934929) q[1];
rz(-2.4596888100774237) q[2];
ry(0.14080968323527931) q[2];
rz(-2.993631691840007) q[2];
rz(... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"ZIIIIZI",
"ZIIIIIZ",
"IIIZIZI",
"IIIZZII",
"IZIZIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
-0.5,
-1.25,
-1,
-0.5,
-0.75,
-0.75,
2.5,
-0.75,
-0.75,
-0.25,
-0.5,
1.5,
-0.25,
-0.75,
-2.5,
1.75,
0.25,
0
] | 0.989705 | [
-0.022892677441185116,
0.2110669709326137,
-0.27094094257024,
0.6131998797071878,
-0.20111098885694167,
0.503350945250638,
0.020546732618873385,
0.3028834781091834,
0.2617247912178288,
0.41607371001171256,
-0.16363397257810378,
0.563891452430853,
0.8878830733377374,
-0.0634222979567583,
... | {
"n_parameters": 35,
"n_qubits": 7,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 9 |
2840456929365522092 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4], [0, 3], [3, 4], [0, 5], [3, 5], [0, 6], [2, 3], [0, 4], [1, 6]]} | {"states": [13, 114], "expectation_value": -0.029941233937268386, "params": [[-0.0371], [0.045200000000000004]], "bitstrings": ["1110010", "0001101"], "total_optimization_steps": 10, "probabilities": [0.0080758473121285, 0.0080758473121285], "optimization_time": 1.3650844097137451} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(6) + 0.0 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.5, "smallest_bitstrings": ["0000111", "1101000", "0010111", "0001111", "1110000", "1110010", "0001101", "1111000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-0.28984078044415346) q[3];
h q[4];
ry(-0.26434783492908287) q[4];
cx q[2], q[4];
ry(0.26434783492908287) q[4];
cx q[2], q[4];
ry(-0.7835290196996537) q[4];
ry(0.8668963469053198) q[2];
h q[5];
cx q[5], q[3];
ry(0.28984078044415346) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[2], q[3];
... | null | {"circuits": [], "gradients": []} | [
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IIIZZII",
"IIIZIIZ",
"IZIIIIZ",
"IZIZIII",
"ZIIIIIZ",
"ZIIIIZI",
"IIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI"
] | [
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
] | 0.971843 | [
-0.5796815608883069,
1.4990425878368907,
-0.17649398480782386,
1.2632649030578242,
-0.5286956698581657,
0.8668963469053198,
-1.5670580393993074,
0.0846753912633193,
-0.8610152413388326,
0.5937755216797972,
-0.7036873616665289,
0.21455009940360265,
0.234488976334283,
-0.11306575634106596,
... | {
"n_parameters": 43,
"n_qubits": 7,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 41 |
567ab3f84ce062f1688c69d8443a4851 | 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}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 9}, {"capac... | {"states": [758, 511], "expectation_value": -14.023243624855015, "params": null, "bitstrings": ["0100001001", "1000000000"], "total_optimization_steps": 100, "probabilities": [0.06874252266008575, 0.8317235501491776], "optimization_time": 243.4608108997345} | -0.75 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -1.25 * (Z(9) @ Z(3)) + 1.5 * (Z(9) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + -1.0 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.10520866441955189) q[0];
h q[1];
ry(0.7582609534904557) q[1];
h q[2];
ry(1.5165219069809115) q[2];
h q[3];
ry(1.5165219069809115) q[3];
h q[4];
ry(0.7582609534904557) q[4];
cx q[3], q[4];
ry(-0.7582609534904557) q[4];
cx q[3], q[4];
h q[5];
ry(0.7582609534... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.5708) 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]... | [
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"ZIIIIIZIII",
"ZIIIIIIIIZ",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIIIIZIZII",
"IIIIIIIZZI",
"IIIIZIZIII",
"ZIIIZIIIII",
"IIIIZIIIZI",
"IIIIZIIZII",
"IIIZIIZIII",
"IIIZIZIIII",
"ZIIZIIIIII",
"IIIZIIIIZI",
"IZIIIIZIII",
"IIZIIZIIII",
"IZZIIIIIII",
"IIIIIIZIII"... | [
-0.75,
-0.5,
-1.25,
1.5,
-1.5,
-1,
-0.5,
-1,
-0.75,
-1.25,
-0.5,
-0.75,
-0.5,
-0.75,
-0.75,
-1.75,
-0.25,
-1.5,
-0.25,
2,
-0.25,
1.75,
-1.75,
-1.75,
0.25,
0.75,
-0.75,
0,
-0.25
] | 0.952785 | [
1.5165219069809115,
1.6007778784610978,
0.8170783213080234,
1.5490951562978117,
2.750277353241323,
-0.0637080466358545,
1.3472261462588357,
0.21041732883910377,
-0.005745411098933585,
-0.006171612000373373,
0.02969129706880693,
-0.612992896798441,
-0.4481411827547371,
0.3143817000800798,
... | {
"n_parameters": 29,
"n_qubits": 10,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 500 |
-388711381930406404 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2], [0, 7], [8, 1, 6], [8, 5], [1, 4, 6], [0, 8, 3, 4], [1, 3], [5, 7], [4, 6, 7], [3, 7], [1, 4, 5], [3, 6], [2, 4]]} | {"states": [151, 147], "expectation_value": -0.1417517661781162, "params": [[0.0784], [-0.0756]], "bitstrings": ["101101000", "101101100"], "total_optimization_steps": 10, "probabilities": [0.002307011903841905, 0.002356906223392872], "optimization_time": 3.134861946105957} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(8) @ Z(0)) + 0.3333333333333333 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(8)) + 0.5 *... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.833333333333333, "smallest_bitstrings": ["101101100", "101101000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.6538935179470782) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.6538935179470782) q[4];
cx q[2], q[4];
rz(-1.001629752126819) q[2];
rx(-0.9029304539881086) q[2];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(0.653893517... | 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[2],... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IZIIIIIIZ",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"IIZIIIIZI",
"IZZIIIIII",
"ZIZIIIIII",
"IIIZIIIZI",
"IZIZIIIII",
"ZIIZIIIII",
"IIIIZIZII",
"IIIIZIIZI",
"IZIIZIIII",
"IIIIZIIIZ",
"ZIIIZIIII",
"IIZIZIIII",
"IIIZZIIII",
"IIIIIZIZI",
"IZIIIZIII",
"IIIIIZIIZ",
"ZIIIIZIII",
"... | [
0.5,
0.5,
0.16666666666666666,
0.08333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.3333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.3333333333333333,
0.16666666666666666,
0.5,
0... | 0.528358 | [
0.6538935179470782,
0.04681643127396928,
-0.05028844605090467,
0.05584812036214233,
-1.0016297521268185,
-0.3936167678992617,
0.5376459011096021,
1.3270616381779368,
-0.9029304539881087
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 207 |
7750233873703748455 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4], [2, 5, 6], [1, 5], [1, 6], [0, 4], [0, 3, 5], [0, 1, 2]]} | {"states": [122, 91], "expectation_value": -2.1703430157292036, "params": null, "bitstrings": ["0000101", "0100100"], "total_optimization_steps": 53, "probabilities": [0.051740058561969, 0.7703012368330903], "optimization_time": 69.98695278167725} | 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.333333333333332, "smallest_bitstrings": ["0110100", "0100100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.4906681629928251) q[0];
rz(-0.5118914353724731) q[0];
rx(0.09800404870573652) q[1];
rz(-1.1501494606956175) q[1];
rx(0.7938683181988508) q[2];
rz(-0.7023042078842141) q[2];
rx(1.7369295434122551) q[3];
rz(-0.2914862013687656) q[3];
rx(0.023411954175642288) q[4];
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(1.2292) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIZZIII",
"IZIZIII",
"IZIIZII",
"ZZIIIII",
"ZIIIZII",
"IZIIIZI",
"IIIIZZI",
"ZIIIIZI",
"IIZIIIZ",
"IIIZIIZ",
"IZIIIIZ",
"IIIIZIZ",
"IIIIIZZ",
"IIZIIII",
"IIIZIII",
"IZIIIII",
"IIIIZII",
"ZIIIIII",
"IIIIIZI",
"IIIIIIZ"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0,
0.16666666666666663,
0.3333333333333335,
0.3333333333333333,
0.1666666... | 0.974849 | [
1.4906681629928251,
-0.5568337177969327,
0.09800404870573652,
-0.4870438738821515,
0.7938683181988508,
-0.6520970626014815,
1.7369295434122551,
-0.27506877852084216,
0.023411954175642284,
0.2386838415031229,
2.0871809397696763,
-0.3646613404730527,
1.7448790609068465,
0.14975717525572435,
... | {
"n_parameters": 35,
"n_qubits": 7,
"optimal_eigenvalue": -2.333333333333333,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 44 |
28550855a20366800e3fd917bf6489e0 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [1, 127], "expectation_value": -0.06292505584505631, "params": [[-0.0263, 0.0459], [0.0393, -0.0356]], "bitstrings": ["11111110", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004181364713127459, 0.004181933769375706], "optimization_time": 3.581491708755493} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["11101110", "11111110", "11100110", "10000000"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.15216926898181918) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.15216926898181918) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.05788856062893183) q[5];
cx q[0], q[5];
cx q[2], q[5];
rz(0.15216926898181918) q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IZIIIZII",
"IZZIIIII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZZIIIIII",
"ZIIIZIII",
"IIIZIIZI",
"IIZZIIII",
"IZIZIIII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZIII",
"IIIZIII... | [
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.75,
1.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
0,
-0.25,
0.25,
0,
-0.75,
0.25,
0,
0.5
] | 0.970246 | [
0.15216926898181918,
0.05788856062893183,
-0.39706471093018897,
-0.4983538334088068,
-0.6196842796802551,
-0.8562234492096112,
-0.7118375263136241,
1.5192229975930538,
0.31351551366482816,
0.21708871535439847,
-0.41629988721034344,
-1.1950335447601863,
-0.3996149728763092,
-0.3579384860504... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 333 |
78b2aa881a7a82fd730b24b867b12c25 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [171, 169], "expectation_value": -3.8232782030663253, "params": [0.8550000000000001, 0.0029000000000000002, 0.0038, 0.5403, 0.9092, 0.20400000000000001, 0.8814000000000001, 0.5301, 0.9053, 0.5686, -0.0132, 0.4496, 0.7206, 0.0857, 0.9116000000000001, 0.0, 0.8628, 0.0047, 0.0038, 0.0027, 0.9015000000000001, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + -2.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(6) + -0.5 * Z(2) + -1.0 * Z(3) + -0.5 * Z... | 3 | 8 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.5, "smallest_bitstrings": ["11010100", "11001100", "01001110", "01010110"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.7805844196714602) q[0];
rz(-0.25244123512296746) q[0];
rx(-0.005278580995705757) q[1];
rz(0.5722316582206428) q[1];
rx(1.8744617287858492) q[2];
rz(-0.10443047038951025) q[2];
rx(0.15450479599126016) q[3];
rz(1.3517433461738193) q[3];
rx(1.6572312703815368) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IZIIIIZI",
"IZIIIIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIZIIZI",
"IIIZZIII",
"ZIIIIIZI",
"IIZIIZII",
"IIZIZIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
-1
] | 0.973141 | [
1.7805844196714602,
0.08938225087269423,
-0.005278580995705759,
0.5822772229204913,
1.8744617287858492,
-0.07688035472636641,
0.15450479599126016,
0.7766979231790662,
1.6572312703815366,
0.6556356499512056,
-0.2611053001690734,
1.6706281484875607,
0.15989829756042961,
0.12187593573393538,
... | {
"n_parameters": 43,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 27 |
43f346f2449aaad74bd3d1617b2cab32 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [91, 89], "expectation_value": -1.7541673067880823, "params": [0.5061, 0.0026000000000000003, -0.0004, 0.3551, 0.4979, 0.0039000000000000003, 0.4969, 0.14450000000000002, 0.0815, 0.2659, 0.3014, -0.09040000000000001, 0.5018, 0.0125, 0.4993, 0.0046, -0.0037, 0.38680000000000003, 0.5024000000000001, 0.002, 0.4... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2) @ Z(5)) ... | 18 | 7 | 4 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100110", "0101001"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.4099597405997399) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.4099597405997399) q[3];
cx q[0], q[3];
rz(0.5379425344598752) q[3];
rx(-1.0181627007712197) q[3];
h q[4];
cx q[2], q[4];
rz(0.4099597405997399) q[4];
cx q[2], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIZZIII",
"IIIZIIZ",
"IZIIIIZ",
"IZIZIII",
"IZIZIIZ",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"ZZIIZII",
"ZIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
-0.75,
0,
-0.25,
-0.5,
0,
-0.25
] | 0.756698 | [
0.4099597405997399,
-0.5276923746122105,
0.5379425344598753,
-0.15590122747147514,
-1.0181627007712197,
0.9194045375777744,
-1.0915528273895585,
-0.4028415862936717,
-0.5859290117404532
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 223 |
ab957251534d09507f870c3a6ef42154 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [40, 23], "expectation_value": -0.24430453358645526, "params": [[0.0575, 0.0444, 0.0308], [-0.060000000000000005, -0.0443, -0.028300000000000002]], "bitstrings": ["010111", "101000"], "total_optimization_steps": 10, "probabilities": [0.01931741156881211, 0.02077869810484058], "optimization_time": 4.202790260... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(4) + 0.0 * Z(5) + -1.0 * Z(2) + 0.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["101000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.8371932544002377) q[0];
rz(0.20858065204347453) q[0];
ry(-0.45655694041749045) q[1];
ry(0.4641984393163029) q[2];
ry(-0.19028136922153194) q[3];
ry(1.019406464640929) q[4];
ry(-0.07467794364198581) q[5];
ry(0.1078744572788903) q[6];
ry(0.5781622452340566) q[7];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIIZ",
"ZIIIIZ",
"IIIZZI",
"IZIZII",
"IIZZII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
0,
-1,
0
] | 0.97248 | [
0.8371932544002377,
-0.45655694041749045,
0.4641984393163029,
-0.19028136922153194,
1.019406464640929,
-0.07467794364198581,
0.1078744572788903,
0.5781622452340566,
-0.09758270765337963,
0.42316099187094136,
-0.019552344140408177,
0.5019802359551023,
0.41716130408694907,
-0.391375460764549... | {
"n_parameters": 94,
"n_qubits": 12,
"optimal_eigenvalue": -1.5131944444444438,
"target_ratio": 0.97,
"target_value": -1.4677986111111105
} | 23 |
b2e8809c1b83009e0289ab5de516e6f7 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [136, 137], "expectation_value": -4.542936810907742, "params": [0.40540000000000004, 0.0009000000000000001, 0.22710000000000002, 0.18660000000000002, 0.0505, 0.24350000000000002, 0.0005, 0.2096, 0.4026, 0.0965, -0.0032, 0.2126, 0.0514, 0.2184, 0.4007, 0.0025, 0.3995, 0.0007, 0.20620000000000002, 0.2047000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(2) ... | 3 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.0, "smallest_bitstrings": ["01110110", "11010110", "00110111", "10110011", "01111100"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.7061318010284204) q[0];
rz(-0.29913499322545745) q[0];
rx(-0.36767265203966415) q[1];
rz(0.34554938162966486) q[1];
rx(0.021259879172186177) q[2];
rz(0.14169924455982308) q[2];
rx(0.06385436823749818) q[3];
rz(0.16114492106908918) q[3];
rx(0.9622401745235165) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZIIZ",
"IIZIIZII",
"IIZIIIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IZIIIZII",
"IZZIIIII",
"IZIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"ZIIIIIZI",
"IIIZZIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IIIIIIZI",
"IZIIIIII",
"ZIIIIIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1.5,
-1.5,
-1.5,
-1,
-0.5
] | 0.975465 | [
0.7061318010284203,
-0.25946070954596867,
-0.36767265203966415,
0.24124537618151093,
0.021259879172186177,
0.26213389037563734,
0.06385436823749818,
0.10078519928443598,
0.9622401745235165,
0.26195954135630556,
0.003536607766596727,
0.05153117736812861,
0.13031622003777604,
0.3350336259270... | {
"n_parameters": 85,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 12 |
4ef8200fc046c4367eac131306e89d2f | 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": [882, 850], "expectation_value": -75.70255957917117, "params": [0.0016, 0.7927000000000001, 1.202, 0.0005, 1.2002000000000002, 0.1996, 0.5433, 0.3934, 1.1954, 0.2013, 0.7751, 0.35950000000000004, 1.2027, 0.2909, -0.0206, 0.7019000000000001, 0.0032, 0.8268000000000001, 1.1997, 0.093, 0.551, 0.3698, 0.0015, 0.... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(9) @ Z(3)) + 6.5 * (Z(8) @ Z(9)) + 6.5 * (Z(10) @ Z(2)) + 6.5 * (Z(10) @ Z(4)) + -4.5 * Z(0) + 13.0 * Z(1) + 1.5 * Z(3) + 12.0 * Z(2) +... | 18 | 11 | 2 | {"smallest_eigenvalues": [-118.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -99.5, "smallest_bitstrings": ["10010101101"], "largest_eigenvalue": 141.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.014712753825941947) q[0];
rz(0.324551452996074) q[0];
rx(1.824311760337198) q[1];
rz(0.0517536626922411) q[1];
rx(1.528859921458282) q[2];
rz(0.35893321599088956) q[2];
rx(0.30574394893660856) q[3];
rz(0.3745462661271577) q[3];
rx(1.499457271238905) q[4];
rz(0.242... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IIIIZIIIIZI",
"IIIIZZIIIII",
"IIIZZIIIIII",
"IZIIIIIZIII",
"IZZIIIIIIII",
"ZIIIIIIIZII",
"ZIIIIIZIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIIZIIII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
-4.5,
13,
1.5,
12,
15.5,
7,
14.5,
-3,
10,
-4,
1.5
] | 0.976968 | [
0.014712753825941949,
0.5555318367544079,
1.824311760337198,
0.0517536626922411,
1.528859921458282,
0.35893321599088956,
0.30574394893660856,
0.3745462661271577,
1.499457271238905,
0.2424697062630338,
-0.24757880131922266,
-0.2615708348616708,
1.615915183193719,
0.3172430778214577,
-0.02... | {
"n_parameters": 63,
"n_qubits": 11,
"optimal_eigenvalue": -118.5,
"target_ratio": 0.97,
"target_value": -114.945
} | 18 |
-1078943584955744393 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 3, 4], [0, 2, 3, 7, 8], [0, 3, 5, 6, 7, 8], [2, 3, 5, 6, 7], [0, 1, 2, 6, 7, 8], [0, 1, 2, 4, 5], [1, 2, 3, 6, 7, 8], [1, 2, 3, 4], [4, 6], [0, 1, 3, 6, 8]]} | {"states": [492, 237], "expectation_value": -1.2823575844493968, "params": [[-0.37120000000000003], [0.3633]], "bitstrings": ["000010011", "100010010"], "total_optimization_steps": 40, "probabilities": [0.0062307274136240475, 0.006422231944002537], "optimization_time": 7.83405065536499} | 0.2 * (Z(8) @ Z(1)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(8)) + 0.21666666666666667 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.13333333333333336 * (Z(0) @ Z(1)) + 0.16666666666666669 * (Z(0) @ Z(8)) + 0.13333333333333336 * (Z(0) @ Z(3)) + 0.05 * (Z(0) @ Z(4)) + 0... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.3666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3166666666666664, "smallest_bitstrings": ["100010010"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[8];
rz(4.494488304619982e-08) q[8];
cx q[1], q[8];
cx q[1], q[3];
rz(-1.3023482633977226e-08) q[3];
cx q[1], q[3];
cx q[1], q[4];
rz(-6.2575069710893e-09) q[4];
cx q[1], q[4];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIZI",
"IIIIIZIZI",
"ZIIIIZIII",
"IIIIZIIZI",
"ZIIIZIIII",
"IIIIZZIII",
"IIIIIIIZZ",
"ZIIIIIIIZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIIIZZI",
"ZIIIIIZII",
"IIIIIZZII",
"IIIIZIZII",
"IIIIIIZIZ",
"IZIIIIIZI",
"ZZIIIIIII",
"IZIIIZIII",
"IZIIIIIIZ",
"IZIIIIZII",
"IIIZIIIZI",
"... | [
0.2,
0.25,
0.25,
0.21666666666666667,
0.08333333333333333,
0.16666666666666666,
0.13333333333333336,
0.16666666666666669,
0.13333333333333336,
0.05,
0.2,
0.11666666666666667,
0.21666666666666667,
0.13333333333333333,
0.13333333333333336,
0.06666666666666667,
0.15,
0.166666666666666... | 0.929577 | [
4.494488304619982e-8,
-1.3023482633977226e-8,
-6.2575069710893e-9,
1.516810771168148e-8,
-1.6270792962407305e-8,
3.5260362624568163e-8,
-2.191981439412908e-8,
-1.7159494955150724e-8,
-7.492511830000766e-8,
1.8047341732180066e-8,
-2.1088336673791475e-7,
3.685167430003149e-7,
-2.67593869878445... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -2.3666666666666667,
"target_ratio": 0.97,
"target_value": -2.2956666666666665
} | 465 |
9654c545357abbe9e95dba48af827af6 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}], "edges": [{"weight": 8, "source": 0, "target": 3}, {"weight": 19, ... | {"states": [126, 118], "expectation_value": -55.44471029432733, "params": [1.4258000000000002, 0.0022, 3.1617, 0.0032, 3.1613, 0.0022, 3.1616, 0.009000000000000001, 1.4959, 0.0061, 3.1605000000000003, 0.001, 3.1591, 0.006500000000000001, -0.0029000000000000002, 0.0036000000000000003, 0.007500000000000001, 0.0061, 0.003... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(5)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(5)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 17.5 * Z(1) + 8.0 * Z(0) + 10.5 * Z(2) + 13.5 * Z(5) + 1... | 18 | 8 | 1 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 132.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.0011522340551590252) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.0011522340551590252) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0011522340551590252) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.0011522340551590252) 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] x2;
input float[64] x3;
input float[6... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIZII",
"IIIIZIIZ",
"IIZIZIII",
"IIIZIIZI",
"IIZZIIII",
"IIIZZIII",
"IZIIIIZI",
"IZIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17.5,
8,
10.5,
13.5,
14,
11,
10.5,
-0.5
] | 0.9701 | [
-0.0011522340551590252,
1.4198778051373766,
-1.6914893495550405,
1.497053830930895,
1.7292200745702024,
1.183563834745271,
-0.8896798042232335,
-1.5810176557276576,
-1.2564221794225994,
0.11584926322863424,
0.9377064387781754,
-0.8309733378014517,
0.20908203985992,
0.1567296409660722,
0.... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -63.5,
"target_ratio": 0.97,
"target_value": -61.595
} | 48 |
9b4be5d748a292e481722f1ef8f75020 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 3}]} | {"states": [11, 10], "expectation_value": -4.9823623478529155, "params": [0.0024000000000000002, 0.006200000000000001, 0.0024000000000000002, 0.003, 0.0024000000000000002, 0.0027, 0.0025, 0.0081, 2.2003, 0.0039000000000000003, 1.4987000000000001, 0.0034000000000000002, 2.2002, 0.0037, 1.5018, 0.0014, 0.0087000000000000... | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + 0.4 * (Z(1) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 1.0 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 1.0 ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-6.6000000000000005, -6.6000000000000005], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.999999999999999, "smallest_bitstrings": ["11110010", "11110101"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.14463547101575489) q[0];
rz(-0.9013886526061183) q[0];
rx(0.14200284685399922) q[1];
rz(0.6212693590588447) q[1];
rx(-0.14471618748001755) q[2];
rz(0.4407728646085142) q[2];
rx(-0.14471618748001755) q[3];
rz(-0.9525842351766118) q[3];
rx(1.8131142699027647) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIIZIIZI",
"IIIIIIZZ",
"IIZZIIII",
"IIZIIIIZ",
"IIZIIIZI",
"IZIZIIII",
"IZIIIIIZ",
"IZIIIIZI",
"IZZIIIII",
"ZIIZIIII",
"ZIIIIIIZ",
"ZIIIIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIIZZII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZII... | [
-0.5,
-0.5,
0.4,
0.5,
-0.5,
-0.5,
1,
-1,
-1,
1,
0.5,
-0.5,
-0.5,
0.5,
1,
-0.2,
2,
-1.7000000000000002,
-1.7000000000000002,
1.5,
3,
1.5,
-0.6000000000000001,
-0.30000000000000004
] | 0.972151 | [
0.1446354710157549,
-0.737814615895959,
0.14200284685399922,
0.6212693590588447,
-0.14471618748001755,
0.4407728646085142,
-0.9525842351766118,
1.8131142699027647,
0.16895032385674386,
0.13369873663334575,
0.20067474335624766,
1.5954489610039433,
0.23189398635567227,
0.7353956036851526,
... | {
"n_parameters": 41,
"n_qubits": 8,
"optimal_eigenvalue": -6.6000000000000005,
"target_ratio": 0.97,
"target_value": -6.402
} | 16 |
a6b81bd94db1dc24b1e0e42e6a7091b4 | 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": 10, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 16, "source": 1, "target": 4}, {"weight": 9, "source": 2, "tar... | {"states": [286, 218], "expectation_value": -13.347787974619505, "params": [[0.027700000000000002, -0.0396, -0.0412], [-0.055, 0.007200000000000001, 0.0388]], "bitstrings": ["011100001", "100100101"], "total_optimization_steps": 10, "probabilities": [0.004640866908507449, 0.00556525026044632], "optimization_time": 6.31... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 13.0 * Z(1) + 5.0 * Z(0) + 12.5 * ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 149.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.744140712049382) q[0];
rz(-0.0472961356517434) q[0];
rx(3.110384720259039) q[1];
rz(0.22796018602275503) q[1];
rx(3.1447279415560803) q[2];
rz(-0.5280722703690759) q[2];
rx(0.2303163344266575) q[3];
rz(-0.9377822736725943) q[3];
rx(3.117670039049346) q[4];
rz(0.530... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIIIZIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"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,
13,
5,
12.5,
14.5,
4.5,
14,
9.5,
15.5,
2
] | 0.975861 | [
0.7441407120493821,
-0.10353319362533349,
3.110384720259039,
0.22796018602275503,
3.1447279415560803,
-0.5280722703690759,
0.2303163344266575,
-0.9377822736725943,
3.117670039049346,
0.530377326005906,
2.973122811681948,
-0.3866238784758647,
0.057713943702765926,
0.04753547702156585,
3.1... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 21 |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [50, 42], "expectation_value": -0.15445087554338374, "params": [[-0.044000000000000004, -0.0274, 0.0274], [0.0661, 0.0376, 0.0024000000000000002]], "bitstrings": ["001101", "010101"], "total_optimization_steps": 10, "probabilities": [0.01777577483388823, 0.017775774833888234], "optimization_time": 3.48785471... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["010101", "001101"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.8473521450627363) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.8473521450627363) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.042967194764701365) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(-0.8473521450627363) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[3], q[0... | null | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"ZIIIIZ",
"IIZIZI",
"IIZZII",
"IIIZZI",
"IZZIII",
"ZZIIII",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.505615 | [
-0.8473521450627363,
-0.042967194764701365,
0.0646286253227127,
0.4276632086634684,
0.7850932252334482
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 131 |
db350f4c6cc12fe7a27604bdeac9089b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 1, ... | {"states": [1, 3], "expectation_value": -10.191566208765225, "params": null, "bitstrings": ["11111110", "11111100"], "total_optimization_steps": 26, "probabilities": [0.4124944454805767, 0.42588535922311377], "optimization_time": 19.456178426742554} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(3) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + 1.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + -1.75 * Z(1)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-11.0, -11.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["11111110", "11111100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.4275268824029438) q[0];
h q[1];
ry(-1.5652080334247682) q[1];
ry(-0.03368310796321593) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.5652080334247682) q[3];
h q[4];
ry(-1.6531305993622973) q[4];
h q[5];
ry(-1.5652080334247682) q[5];
h q[6];
h q[7];
cx q[7], q[0];
ry(0... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIZIIIZI",
"IIZIZIII",
"IIIZIIZI",
"IIIZIZII",
"IIIZZIII",
"ZIIIIIIZ",
"ZIZIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
-0.25,
-1,
-0.25,
-0.75,
-0.75,
-1.75,
-0.5,
-0.75,
-0.25,
-0.25,
1.5,
-0.25,
-0.75,
-1.75,
-0.25,
0.25,
0.25,
-0.5,
0,
1.25,
0.75
] | 0.972524 | [
-1.5652080334247682,
-0.8550537648058876,
1.3145543956205288,
-0.8916018977800446,
-1.5187606997036145,
-1.6531305993622973,
0.19570433574163723,
-0.335754560642802,
-0.0367050382561322,
-0.08837873644366767
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 10 |
4b8e8d3bc089d9f1ce23ac8f56ea8854 | edge_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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [380, 124], "expectation_value": -2.0513251275514426, "params": [[[0.0027, 0.0056], [1.5429000000000002, 0.0063], [0.6556000000000001, 0.006500000000000001], [2.2075, 0.002], [2.2035, 0.003], [2.2079, 0.0024000000000000002], [2.1967000000000003, 0.0006000000000000001], [2.2116000000000002, 0.0048000000000000... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(4) @ Z(1) @ Z(2)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.375, "smallest_bitstrings": ["1111000001", "1010110010", "1110100010", "1000110110",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.8476001361719452) q[0];
rz(0.08660424317865062) q[0];
ry(0.07217867204471394) q[1];
rz(0.3441983597198177) q[1];
cz q[1], q[0];
ry(0.8827096089944338) q[0];
rz(0.06863414140230593) q[0];
ry(0.07477202046255788) q[1];
ry(0.7026865230814847) q[2];
rz(0.03493072668171... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIZZZI",
"IIIIIZIZZI",
"IIIIIZZIZI",
"IIIIIZZZII",
"IIIIIZZZZI",
"IIIIZIIIZI",
"IIIZIIIIZI",
"IIIZZIIIII",
"IIIZZIIIZI",
"IIZIIIIZII",
"IIIIZIIIIZ",
"IIZIIIIIIZ",
"IIZIZIIIII",
"IIZIZIIIIZ"... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.75,
0.125,
-0.125,
-0.125,
-0.125,
0,
0,
-0.25,
-0.25,
-0.25
] | 0.972392 | [
0.8476001361719452,
0.08660424317865062,
0.07217867204471394,
0.3441983597198177,
0.7026865230814847,
0.03493072668171043,
0.280527502354479,
-0.2847909667608607,
0.09571101689920544,
0.3556286323975034,
0.34106573136015883,
0.15647894091899603,
0.11490851033605401,
-0.008424503352474633,
... | {
"n_parameters": 84,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 26 |
0f435eed505f807fb8dc44643dfd43ce | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"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": 2, "target"... | {"states": [0, 1], "expectation_value": -19.846753048622734, "params": [[[-0.0009000000000000001, 0.4586], [-0.0041, 0.3926], [-0.0007, 0.45080000000000003], [-0.0006000000000000001, -0.452], [0.8104, -0.0037]], [[-0.0007, 0.0037], [-0.001, 0.0014], [-0.0001, 0.0047], [-0.0001, 0.005200000000000001], [0.808800000000000... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.25 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + -8.25 * Z(1) + -8.5 * Z(0) + -8.25 * Z(2) + -8.25 * Z(3) + -7.75 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-21.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.75, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 64.25} | 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]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
-8.25,
-8.5,
-8.25,
-8.25,
-7.75
] | 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 |
79c413169b46cfe9500c0e20c1b4b614 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 4, "target": 5},... | {"states": [0, 1920], "expectation_value": -1.1833594823789462, "params": [[0.0396], [-0.036000000000000004]], "bitstrings": ["11111111111", "00001111111"], "total_optimization_steps": 10, "probabilities": [0.0006358912004669129, 0.0006497888369926672], "optimization_time": 1.6590163707733154} | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(7)) + -2.5 * (Z(8) @ Z(7)) + -3.0 * (Z(8) @ Z(4)) + 0.5 * (Z(9) @ Z(7)) + -3.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(8)) + 1.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + -2.5 ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-32.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.0, "smallest_bitstrings": ["00001111111"], "largest_eigenvalue": 43.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.8195543781486586) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.19071449437922416) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.8195543781486586) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.19071449437922416) q[3];
cx q[1], 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[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIZIIZIIII",
"IIZZIIIIIII",
"IIZIIIZIIII",
"IZIZIIIIIII",
"IZIIIIZIIII",
"IZZIIIIIIII",
"IIIIZIZIIII",
"IIZIZIIIIII",
"IZIIZIIIIII",
"ZIIIIIZIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"ZIIIZIIII... | [
-2,
0.5,
-2,
0.5,
-2,
0.5,
-2.5,
-2.5,
-3,
0.5,
-3.5,
0.5,
1,
0.5,
-2.5,
1,
1,
-3,
-2.5,
0.5,
0.5,
-3,
0.5,
0.5,
-3,
0.5,
0.5,
0.5,
0.5,
1.5,
-3,
-3,
2,
-2.5,
-3,
1.5
] | 0.543372 | [
-0.8195543781486586,
-0.19071449437922416,
-0.7307506342410206,
-0.588887501569815,
-0.3427545463744422,
-0.08607766146452442,
-0.1270423023772967,
-0.25121106645579777,
-0.9685645492470774
] | {
"n_parameters": 9,
"n_qubits": 11,
"optimal_eigenvalue": -32,
"target_ratio": 0.97,
"target_value": -31.04
} | 233 |
d62a0f012823c70bafc442cdcec5fdce | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, ... | {"states": [687, 683], "expectation_value": -1.308138840350595, "params": [[[0.6023000000000001, 0.08560000000000001], [0.0959, 0.0328], [0.6031000000000001, -0.0053], [0.2883, -0.1184], [0.5997, 0.5011], [0.2922, 0.6041000000000001], [0.5807, 0.3765], [0.3942, 0.32180000000000003], [0.35400000000000004, 0.593100000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.25 * (Z(7) @ Z(2)) + 0.25 * (Z(8) @ Z(2)) + 0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(8) @ Z(2)) + 0.25 * (Z(7) @ Z(3)) + 0.25 * (Z(9) @ Z(3)) + 0.25 * (... | 15 | 10 | 3 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.3125, "smallest_bitstrings": ["0111010000", "1100100100", "0101010010", "0100110100", "1011001000", "0101010100", "1001001100", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.3105151204328884) q[0];
ry(0.08089727571045902) q[1];
ry(0.9048574364107069) q[2];
ry(0.08809864031115719) q[3];
ry(0.7348749209376406) q[4];
ry(0.12917653925179115) q[5];
ry(1.1147073547551456) q[6];
ry(0.13401713527225573) q[7];
ry(1.4240180832510525) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIZZIII",
"IIIIZIIIIZ",
"IIIZIIIIZI",
"IIZIIIIZII",
"IZIIIIIZII",
"IZZIIIIIII",
"IZZIIIIZII",
"IIZIIIZIII",
"ZIIIIIZIII",
"ZIZIIIIIII",
"ZIZIIIZIII",
"IIIIZZIIII",
"IIIZIZIIII",
"IZIIIZIIII",
"ZIIIIZIIII",
"IIIZZIIIII"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,... | 0.974049 | [
1.3105151204328884,
0.08089727571045902,
0.9048574364107069,
0.08809864031115719,
0.7348749209376406,
0.12917653925179115,
1.1147073547551456,
0.13401713527225573,
1.4240180832510525,
0.47521261077332716,
0.12263374629771834,
-0.058491515961990814,
1.4353321377390982,
-0.09199937117922938,... | {
"n_parameters": 29,
"n_qubits": 10,
"optimal_eigenvalue": -3.3125,
"target_ratio": 0.97,
"target_value": -3.213125
} | 22 |
d641b238a610d42d2a4d2049e26c4a8c | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 1, ... | {"states": [113, 97], "expectation_value": -10.35316923629764, "params": null, "bitstrings": ["10001110", "10011110"], "total_optimization_steps": 55, "probabilities": [0.3431873609156808, 0.4603072463763573], "optimization_time": 60.956788539886475} | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -2.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(6)) + -1.25 * (Z(7) @ Z(1)) + 2.5 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @... | 1 | 8 | 3 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["10011110"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7946463062368568) q[0];
h q[1];
h q[2];
ry(0.6186852872545041) q[2];
cx q[1], q[2];
ry(-0.6186852872545041) q[2];
cx q[1], q[2];
ry(1.5435180341782773) q[1];
ry(0.18224120531489832) q[2];
ry(-0.17608387131973435) q[3];
rz(-pi) q[3];
cx q[1], q[3];
ry(0.247... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.7408) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IIIIIZZI",
"IZIIIZII",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIIZZIII",
"IZIIZIII",
"IIIIZZII",
"IIZIIIZI",
"IIZZIIII",
"IZZIIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIZII",
"ZIIIIIII",
"IIIIZIII",
"IIZIIIII"
] | [
-0.5,
-1.25,
-0.5,
-2.5,
-0.75,
-1.25,
2.5,
-1,
-1.25,
-1,
-0.25,
-0.75,
-0.75,
-1.25,
0.5,
-0.25,
0.5,
-0.75,
1.75,
1.25,
-4.5,
1.5
] | 0.970629 | [
-1.147417811859112,
1.2373705745090082,
1.5435180341782773,
-0.49458928723210044,
-1.5892926124737137,
-2.309415929446479,
0.36448241062979664,
-0.4538661237832402,
-0.06284718478532479,
0.1828448554015769,
-0.33230521476711383,
0.37352140419820384,
-0.07913749338643893,
0.3498126979268162... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 77 |
-6332755779047497654 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4], [0, 2, 3, 5], [1, 6], [2, 3, 5, 6], [1, 2, 5], [2, 5, 7], [0, 3, 5, 6, 7]]} | {"states": [182, 166], "expectation_value": -1.5588815260925324, "params": [1.0973, 0.041, 1.0986, 0.005, 0.8062, -0.0152, 0.5801000000000001, 0.004200000000000001, 1.0954000000000002, 0.037200000000000004, 1.0953000000000002, 0.0078000000000000005, 1.0866, -0.14600000000000002, 0.8314, 0.0045000000000000005, 0.926, 0.... | 0.5 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.13333333333333333 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.21666666666666667 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.05 * (Z(... | 6 | 8 | 1 | {"smallest_eigenvalues": [-2.3666666666666676], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.283333333333333, "smallest_bitstrings": ["01011001"], "largest_eigenvalue": 6.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.399927048470354) q[0];
rz(1.6938552143089778) q[0];
rx(-0.20883416400539578) q[1];
rz(1.5302516138181232) q[1];
rx(2.068064459557101) q[2];
rz(1.4287829354896093) q[2];
rx(0.22019162768356906) q[3];
rz(1.8325211401617638) q[3];
rx(0.5968488529673486) q[4];
rz(1.544... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIIIIZZI",
"IIZIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"IZIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZII... | [
0.5,
0.08333333333333333,
0.13333333333333333,
0.16666666666666666,
0.13333333333333333,
0.5,
0.21666666666666667,
0.16666666666666666,
0.16666666666666666,
0.05,
0.08333333333333333,
0.13333333333333333,
0.13333333333333333,
0.5,
0.05,
0.16666666666666666,
0.05,
0.2166666666666666... | 0.971208 | [
1.399927048470354,
0.12305888751408117,
-0.2088341640053958,
-0.04054471297677453,
2.0680644595571014,
-0.14201339130528684,
0.22019162768356904,
0.2617248133668674,
0.5968488529673486,
-0.02613512039096395,
2.282530273916319,
0.10022424175219512,
1.4603178465751943,
0.03898107485464061,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -2.3666666666666676,
"target_ratio": 0.97,
"target_value": -2.2956666666666674
} | 68 |
d5af6033ed988c3d3adf4d77cc0740e1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 4, "source": ... | {"states": [0, 2046], "expectation_value": -31.54538469478151, "params": [[[-0.5473, 0.6372], [0.0021000000000000003, 1.4107], [0.0022, 0.0025], [0.0021000000000000003, 0.002], [0.0015, 0.0021000000000000003], [0.0018000000000000002, 0.0021000000000000003], [0.0022, 0.0021000000000000003], [0.0014, 0.002], [0.002100000... | -0.5 * (Z(0) @ Z(5)) + -1.25 * (Z(10) @ Z(5)) + -0.75 * (Z(10) @ Z(0)) + -0.75 * (Z(11) @ Z(5)) + -1.0 * (Z(11) @ Z(0)) + -0.75 * (Z(11) @ Z(10)) + 2.5 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(10)) + -0.5 * (Z(3) @ Z(11)) + -2.75 * (Z(1) @ Z(5)) + -1.5 * (Z(1) @ Z(11)) + -1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(10)) + -1.75 *... | 15 | 12 | 1 | {"smallest_eigenvalues": [-33.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.25, "smallest_bitstrings": ["100000000001"], "largest_eigenvalue": 39.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.019022462433842355) q[0];
ry(-0.025814867148200592) q[1];
ry(0.029327525438741314) q[2];
ry(0.02957521258773068) q[3];
ry(0.05341585094451613) q[4];
ry(-0.0029924959916479282) q[5];
ry(0.04885234786592853) q[6];
ry(-0.025038066601343924) q[7];
ry(0.02957521258773... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIZ",
"IZIIIIZIIIII",
"IZIIIIIIIIIZ",
"ZIIIIIZIIIII",
"ZIIIIIIIIIIZ",
"ZZIIIIIIIIII",
"IIIIIIIIZIIZ",
"IZIIIIIIZIII",
"ZIIIIIIIZIII",
"IIIIIIZIIIZI",
"ZIIIIIIIIIZI",
"IIIIIZZIIIII",
"IZIIIZIIIIII",
"IIIIIZIIIIZI",
"IIIIZIZIIIII",
"IZIIZIIIIIII",
"IIIIZIIIZIII",
"IIIIZIIII... | [
-0.5,
-1.25,
-0.75,
-0.75,
-1,
-0.75,
2.5,
-1,
-0.5,
-2.75,
-1.5,
-1,
-0.5,
-1.75,
-1,
-0.25,
-1.25,
-1.25,
-0.5,
-1.25,
-1.25,
-1.25,
-1,
-0.25,
-0.25,
-1.25,
-0.5,
-1,
-0.75,
-0.25,
-1,
-0.25,
-0.75,
-1.75,
-1.75,
1.75,
-0.25,
1.75,
-3.75... | 0.974964 | [
-0.019022462433842355,
-0.025814867148200592,
0.029327525438741314,
0.02957521258773068,
0.05341585094451613,
-0.0029924959916479282,
0.04885234786592853,
-0.025038066601343924,
-0.0575749096132404,
-0.05511915873000306,
1.167652366325898,
0.20365428131954275,
0.05185492947936527,
-0.04641... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -33.25,
"target_ratio": 0.97,
"target_value": -32.2525
} | 19 |
d94808e5cc9b60725b159cb308a4d8c1 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capaci... | {"states": [1, 21], "expectation_value": -3.7808846170911785, "params": [[-0.2776], [0.2776]], "bitstrings": ["111110", "101010"], "total_optimization_steps": 30, "probabilities": [0.06684958640102567, 0.06818612425284969], "optimization_time": 2.547785758972168} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -1.25 * (Z(2) @ Z(3)) + 1.25 * Z(1) + -0.25 * Z(0) + 1.25 * Z(3) + -1.5 * Z(4) + 0.5 * Z(5) + -1.25 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["100010", "101010"], "largest_eigenvalue": 9.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.3973990978795459) q[0];
h q[1];
ry(0.7210581234742061) q[1];
h q[2];
h q[3];
ry(1.508145619070655) q[3];
cx q[3], q[1];
ry(-0.7210581234742061) q[1];
cx q[3], q[1];
h q[4];
ry(-1.402367103280393) q[4];
h q[5];
cx q[5], q[0];
ry(0.3973990978795459) q[0];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"IIZZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
-0.75,
-1,
-0.25,
-0.75,
-0.5,
-0.25,
-0.25,
1.75,
-1,
-1.25,
1.25,
-0.25,
1.25,
-1.5,
0.5,
-1.25
] | 0.973609 | [
-1.402367103280393,
-0.7947981957590918,
1.226614773855988,
1.508145619070655,
1.4421162469484121,
-0.23582571520858747,
0.17368093824506411,
-0.2690797596273954,
0.1449349374403027,
-0.4615274142083343,
-0.04054061261302525,
-0.4541789105974401
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 11 |
3761320352817550044 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 4], [1, 4], [2, 4], [2, 3], [4, 5], [1, 6]]} | {"states": [13, 114], "expectation_value": -0.019962535931370096, "params": [[0.042], [-0.039900000000000005]], "bitstrings": ["1110010", "0001101"], "total_optimization_steps": 10, "probabilities": [0.008127362349358675, 0.008127362349358675], "optimization_time": 1.1892776489257812} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["1110010", "0001101"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(0.830012887626061) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.16311173409802027) q[3];
cx q[2], q[3];
ry(0.16311173409802027) q[3];
cx q[2], q[3];
ry(1.4195551021461372) q[2];
ry(-0.8803775082468229) q[3];
h q[4];
ry(-0.16311173409802027) q[4];
h q[5];
cx q[5], q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[2], q[3];
... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IIZIIZI",
"IIZIZII",
"IIIZZII",
"IZZIIII",
"ZIIIIZI",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.982743 | [
-0.32622346819604053,
1.0567451796675202,
-0.7964369145731636,
-0.006939020965609118,
1.5370532717793708,
1.4487883147987952,
-0.793684455464745,
-1.0933009540109047,
1.660025775252122,
0.7256198449572344,
-0.017334400727313987,
0.21067414566191794,
-0.7072041438576069,
-0.1678811873473187... | {
"n_parameters": 38,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 17 |
1dcb3c744ddd55658248ce3c7196418c | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}]} | {"states": [32190, 31710], "expectation_value": -10.191291075401743, "params": [[-0.0497, -0.060000000000000005, -0.0658, -0.0533], [0.0584, 0.059800000000000006, 0.0646, 0.0597]], "bitstrings": ["1000001001000001", "1000010000100001"], "total_optimization_steps": 10, "probabilities": [0.00020043111113834787, 0.0002004... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7... | 1 | 16 | 4 | {"smallest_eigenvalues": [-19.99999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999932, "smallest_bitstrings": ["1000010000100001"], "largest_eigenvalue": 68.00000000000037} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(1.0652804248318555) q[0];
rz(-0.4790339043757319) q[0];
rx(0.9745577300577288) q[1];
rz(0.29346053770470665) q[1];
rx(0.0157130110860835) q[2];
rz(0.618448567596635) q[2];
rx(1.0308831125161482) q[3];
rz(0.23627299479722735) q[3];
rx(1.1756644845217723) q[4];
rz(0.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIZI",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIIIIIZ",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
... | 0.970132 | [
1.0652804248318557,
-0.3214709232980808,
0.9745577300577288,
0.29346053770470665,
0.0157130110860835,
0.618448567596635,
1.0308831125161482,
0.23627299479722735,
1.1756644845217723,
0.3067858491711559,
1.00009586838585,
-0.016079870551915385,
1.0041750502695932,
-0.3884080547291887,
0.19... | {
"n_parameters": 137,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999897,
"target_ratio": 0.97,
"target_value": -19.3999999999999
} | 19 |
fdfbddd83ad5e4b88801b3192987124e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 2... | {"states": [1, 57], "expectation_value": -8.452899856368653, "params": null, "bitstrings": ["1111110", "1000110"], "total_optimization_steps": 52, "probabilities": [0.1796831586444573, 0.5310193734902531], "optimization_time": 46.44123697280884} | -0.75 * (Z(0) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(1) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * Z(4) + -0.25 * Z(0) + -0.75 * Z(5) + 1.0 * Z(6) + 0.75 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.75, "smallest_bitstrings": ["1111110", "1000110"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.3200396269150379) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.08926708559789197) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.3200396269150379) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(-0.382786... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.57) q[6], 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];... | [
"IIZIIIZ",
"IZZIIII",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"IIZIIZI",
"IIIIZZI",
"IIZZIII",
"ZIIZIII",
"IIIZIZI",
"IIIZZII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII"
] | [
-0.75,
-1.5,
-1,
2,
-0.25,
-0.75,
-1,
-0.5,
-0.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.75,
1,
0.75,
-0.25,
0
] | 0.810073 | [
-0.3200396269150379,
0.08926708559789197,
-0.3827861201307439,
0.3471470627240742,
-0.7515704665862538,
-0.3267668593634906,
0.16898582939016338,
-0.7763201657017763,
-0.815770852515257,
-1.535634986606571,
-0.5078065568147562,
-0.15503038467109106,
-0.7855234435767351,
0.5365222126647917,... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 448 |
2231796561822519105 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 3], [4, 7], [8, 7], [0, 3], [3, 6], [8, 6], [8, 3], [2, 3], [2, 4], [2, 7], [8, 9], [9, 7], [9, 5], [9, 2], [0, 1], [1, 2], [5, 6], [1, 7], [1, 3], [0, 7], [4, 6]]} | {"states": [333, 269], "expectation_value": -0.10520443302870237, "params": [0.6967, 0.007, 0.6916, 0.0034000000000000002, 0.7059000000000001, -0.001, 0.7037, 0.0067, 0.6998000000000001, -0.0073, 0.7041000000000001, 0.008, 0.7030000000000001, -0.0002, 0.7056, 0.0049, 0.6911, 0.0058000000000000005, 0.6716000000000001, 0... | 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011001100", "1010001001", "1010001011", "0011011100", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.0540437069238422) q[0];
rz(1.5345506678213248) q[0];
rx(0.48021121666691824) q[1];
rz(1.1244466982965342) q[1];
rx(0.33919953069499853) q[2];
rz(1.1726892937510272) q[2];
rx(1.4285734473402634) q[3];
rz(1.57418345366173) q[3];
rx(0.09496345474169444) q[4];
rz(1.62... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"ZIIIIIZIII",
"ZIZIIIIIII",
"IIZIIZIIII",
"IZIIIIZIII",
"ZZIIIIIIII",
"IZZIIIIIII",
"IIIIIIZIIZ",
"IIZIIIIIIZ",
"IIIZIIZIII",
"IIIZIZIIII",
"IZIZIIIIII",
"IIIIIIZZII",
"ZIIIIIIZII",
"IIZIIIIZII",
"IIIIIZIZII",
"ZIIIZIIIII",
"IIIZZIIIII",
"IIIIIIZIZI",
"IIZIIIIIZI",
"IIIIIIIIZZ"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.976982 | [
1.0540437069238424,
-0.0362456589735715,
0.4802112166669182,
-0.44634962849836246,
0.33919953069499853,
-0.39810703304386885,
1.4285734473402634,
0.0033871268668340115,
0.09496345474169446,
0.052231305844251466,
0.04470549808639995,
2.131601159115331,
-0.048579184118396256,
1.9834801448044... | {
"n_parameters": 47,
"n_qubits": 10,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 103 |
b23cde890d8b1ae4239a91aa0ab68c6f | 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": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 18, "source": 1, "target": 6}, {"weight": 4, "source... | {"states": [222, 218], "expectation_value": -75.03125932241979, "params": [0.17930000000000001, -0.24880000000000002, 0.7088, 0.0006000000000000001, 0.9831000000000001, -0.0772, 0.436, -0.3966, 0.9831000000000001, -0.0241, 0.9799, 0.1399, 0.543, 0.35500000000000004, 0.9966, -0.11220000000000001, 0.3471, -0.366600000000... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) ... | 4 | 9 | 3 | {"smallest_eigenvalues": [-90.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 186.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.36378557997923583) q[0];
rz(2.217929649399509) q[0];
rx(0.9680069333944377) q[1];
rz(1.450003920573904) q[1];
rx(1.3259521987146974) q[2];
rz(1.4655799817858384) q[2];
rx(2.316076247402944) q[3];
rz(2.6149515661620946) q[3];
rx(1.1385661092080688) q[4];
rz(1.860399... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
13.5,
3,
14,
7,
16.5,
22,
8.5,
22.5,
4.5
] | 0.97106 | [
0.3637855799792359,
0.6471333226046123,
0.9680069333944379,
-0.120792406220993,
1.3259521987146976,
-0.1052163450090584,
2.316076247402944,
1.0441552393671985,
1.1385661092080688,
0.28960292374897584,
1.5316060459089313,
-0.07844651118185687,
0.3775615900327043,
0.4769803928236581,
1.733... | {
"n_parameters": 52,
"n_qubits": 9,
"optimal_eigenvalue": -90.5,
"target_ratio": 0.97,
"target_value": -87.785
} | 21 |
-1336766891314729242 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 5], [1, 5, 6], [3, 6], [0, 3, 4], [0, 6], [0, 1, 3], [1, 2, 3], [3, 7], [3, 5]]} | {"states": [111, 208], "expectation_value": -0.06351208398496883, "params": [[-0.0606], [0.0651]], "bitstrings": ["10010000", "00101111"], "total_optimization_steps": 10, "probabilities": [0.004239311546510092, 0.0042603960455332695], "optimization_time": 0.7059006690979004} | 0.5 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.1666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333334, "smallest_bitstrings": ["00101111"], "largest_eigenvalue": 6.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(1.6433392712326937) q[1];
h q[2];
ry(-0.32012616485527573) q[2];
h q[3];
h q[4];
ry(-0.4004556656781864) q[4];
h q[5];
ry(-0.13005939592458338) q[5];
cx q[3], q[5];
ry(0.13005939592458338) q[5];
cx q[3], q[5];
ry(1.5530304413926543) q[3];
ry(-1.148457... | 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[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(x1) q[1];
cx q[5], q[1];
cx q[0], q... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIZ",
"IIZIIIZI",
"IIIIIIZZ",
"IZZIIIII",
"IZIIIIIZ",
"IZIIIIZI",
"IIZIZIII",
"IIIIZIIZ",
"IIIIZIZI",
"IZIIZIII",
"IIIZIIIZ",
"IIIZZIII",
"IIIIIZZI",
"IIIIZZII",
"ZIIIZIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII",
"IIIIIZII",
"ZIIIIII... | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.3333333333333333,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666674,
0.33333333333333326,
0.49999... | 0.973804 | [
1.6433392712326937,
-0.26011879184916675,
1.5530304413926543,
-1.0433898804179642,
-0.5896035553229155,
0.8609695441310098,
-0.786798334956091,
0.19423466023110042,
-0.5696265223445812,
0.5034366803478559,
-0.568040433527502,
-0.6402523297105515,
-0.8009113313563728,
-0.7233181472083268,
... | {
"n_parameters": 44,
"n_qubits": 8,
"optimal_eigenvalue": -3.166666666666667,
"target_ratio": 0.97,
"target_value": -3.0716666666666668
} | 17 |
-8180463195446035676 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[3, 4, 5], [8, 9, 12], [0, 9, 12], [1, 10, 6], [9, 4, 6], [9, 12, 5], [11, 12], [12, 4], [8, 1], [9, 4, 7], [0, 11, 4], [10, 5], [10, 7], [0, 1, 10], [3, 12], [2, 12, 5], [1, 2], [8, 9, 0], [8, 2, 5], [1, 7], [3, 11], [0, 5], [2, 10, 3], [9, 10], [2, ... | {"states": [6137, 6136], "expectation_value": -2.7738188705389324, "params": [1.1855, 1.1913, 0.5717, 0.5700000000000001, 1.2033, 1.2036, 1.1924000000000001, 1.196, 1.1896, 1.1908, 1.1834, 1.1798, 1.1935, 1.1961000000000002, 0.9741000000000001, 0.9675, 1.1936, 1.1978, 1.1898, 1.187, 0.6191, 0.6146, 0.4839, 0.4851000000... | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.3333333333333333 * (Z(9) @ Z(4)) + 0.16666666666666666 * (Z(9) @ Z(5)) + 0.3333333333333333 * (Z(9) @ Z(8)) + 0.5 * (Z(12) @ Z(4)) + 0.5 * (Z(12) @ Z(3)) + 0.33333333... | 13 | 13 | 1 | {"smallest_eigenvalues": [-6.500000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.166666666666667, "smallest_bitstrings": ["0100000000111"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.4452014169270158) q[0];
rz(-0.19805276061926694) q[0];
ry(0.04470594503348306) q[1];
ry(1.7452986624343612) q[2];
ry(1.8071411098426997) q[3];
ry(1.1259008264521744) q[4];
ry(1.2095443143728684) q[5];
ry(1.2569716346908808) q[6];
ry(1.5429298657506474) q[7];
ry(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": []} | [
"IIIIIIIIZZIII",
"IIIIIIIZZIIII",
"IIIIIIIZIZIII",
"IIIIZIIZIIIII",
"IIIZIIIIZIIII",
"IIIZIIIZIIIII",
"IIIZZIIIIIIII",
"ZIIIIIIIZIIII",
"ZIIIIIIIIZIII",
"ZIIIIIIZIIIII",
"ZIIIZIIIIIIII",
"ZIIZIIIIIIIII",
"IIIIIIIIZIIIZ",
"IIIIIIIZIIIIZ",
"IIIIZIIIIIIIZ",
"IIIZIIIIIIIIZ",
"ZIIIIIIIIII... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.5,
0.5,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666... | 0.980492 | [
1.4452014169270158,
0.04470594503348306,
1.7452986624343612,
1.8071411098426997,
1.1259008264521744,
1.2095443143728684,
1.2569716346908808,
1.5429298657506474,
1.4929804914227034,
1.5865601172738895,
-0.16051010365709506,
0.04980126683468203,
-0.32479236611023077,
-0.3961055212385339,
-... | {
"n_parameters": 51,
"n_qubits": 13,
"optimal_eigenvalue": -6.500000000000001,
"target_ratio": 0.97,
"target_value": -6.305000000000001
} | 24 |
c57af7e32d961e6547bc80ba0ce96978 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target":... | {"states": [511, 510], "expectation_value": -19.047823005267215, "params": [[[0.0058000000000000005, 3.1594], [0.0026000000000000003, -0.0026000000000000003], [0.0019, -0.0025], [0.0025, -0.0021000000000000003], [0.0025, -0.0022], [-0.0027, 0.0027], [0.0024000000000000002, 0.0025], [-1.6686, -0.003], [0.0019, -0.0032]]... | -2.0 * (Z(0) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -2.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(... | 15 | 9 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["000000001"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.751283547283157) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.5037039314402427) q[3];
cx q[2], q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.751283547283157) q[1];
cx q[2], q[1];
rz(-0.340127971604129) q[2];
rx(1.05195873720640... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIZZIIII",
"IZIZIIIII",
"IZIIZIIII",
"IIZZIIIII",
"IIZIZIIII",
"IZZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIZIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
-2,
1,
-2,
-2,
1,
-2,
-2,
-2,
-2,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.58802 | [
0.751283547283157,
0.5037039314402427,
-0.3401279716041289,
1.5707963632756463,
1.051958737206407
] | {
"n_parameters": 5,
"n_qubits": 9,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 157 |
406f205c8f68e15d44cfdbce281f4c7d | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 4, "target": 3}]} | {"states": [37, 7], "expectation_value": -6.868769623322617, "params": null, "bitstrings": ["011010", "111000"], "total_optimization_steps": 55, "probabilities": [0.10740038652747583, 0.6097205169304722], "optimization_time": 62.52863359451294} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * ... | 18 | 6 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.00817263797266711) q[0];
rz(0.5966647633891988) q[0];
rx(-0.00817263797266711) q[1];
rz(0.13566274477300744) q[1];
rx(3.0563566369992974) q[2];
rz(1.526362272167271) q[2];
rx(2.7143491625185714) q[3];
rz(0.6625473815348293) q[3];
rx(-0.235591289998422) q[4];
rz(0.... | null | {"k": 3} | {"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(-1.5708) q[5], 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 ... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
2,
2,
2,
2,
1.75,
2,
1.75,
2,
2,
2,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
-0.25
] | 0.974338 | [
-0.00817263797266711,
0.5966647633891988,
0.13566274477300744,
3.0563566369992974,
1.526362272167271,
2.7143491625185714,
0.6625473815348293,
-0.235591289998422,
0.5263775625222091,
3.0339991639572848,
0.17723105258234045
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 12 |
f77dd16494069058366da267be47f963 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, ... | {"states": [360, 364], "expectation_value": -2.3861553695911186, "params": [[[0.9064000000000001, 0.0017000000000000001, 0.0089, 0.0049], [-0.0017000000000000001, -0.22340000000000002, -0.0035, 0.0019], [0.9039, 0.010400000000000001, 0.0038, 0.013300000000000001], [0.2504, 0.31420000000000003, 0.9004000000000001, 0.009... | 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... | 12 | 9 | 2 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.6875, "smallest_bitstrings": ["000111010", "010010011", "110000011", "010110010", "100101010", "100001011"], "largest_eigenvalue": 6.3125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.4364564874160545) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.4364564874160545) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.4364564874160545) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.8311764985536017) q[1];
rx(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIIZIIIZ",
"IIIZIIIZI",
"IZZIIIIII",
"IIIIZIZII",
"IIIZIIZII",
"IIZIIIZII",
"ZIIIIIZII",
"IIIZZIIII",
"IIZIZIIII",
"ZIIIZIIII",
"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0... | 0.977573 | [
-0.4364564874160545,
-0.8311764985536005,
0.7400739315621497,
1.577334905899786,
0.6164885882326465,
0.06933608484642381,
0.4201811237717389,
-0.7524128290221637,
0.5325865577688524,
0.006837513518359015,
1.3875792949960601,
-0.2760496817855154,
0.5982010841664613,
0.5255744993731798,
0.... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 64 |
079037ec8afa0faee757e98edb21cf7e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [68, 76], "expectation_value": -4.847526098224298, "params": [0.0432, 0.1585, 0.0407, 0.15360000000000001, 0.3057, -0.060200000000000004, 0.3052, -0.0094, 0.0608, -0.0678, 0.0611, -0.08710000000000001, -0.005, 0.1655, 0.0037, 0.1794, 0.29860000000000003, -0.0432, 0.3025, -0.0012000000000000001, 0.304, -0.029... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + -1.0 * Z(1) ... | 5 | 8 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -5.0, "smallest_bitstrings": ["10111010", "01111010", "10010111", "10110011", "11110001", "11010101", "01110011"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.07042405911518196) q[0];
rz(0.17562427397268188) q[0];
rx(0.1895727566776135) q[1];
rz(-0.2748844500363803) q[1];
rx(0.10097985510593745) q[2];
rz(0.11531648122561489) q[2];
rx(0.2320353377662059) q[3];
rz(0.11270453914257939) q[3];
rx(0.3200434231055674) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"IIZIIZII",
"IIZIZIII",
"ZIIIIZII",
"ZIIIZIII",
"ZZIIIIII",
"IIIZZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-1,
-2.5,
-1.5,
-0.5,
-1.5,
-0.5
] | 0.977249 | [
-0.07042405911518196,
0.18182011667590844,
0.18957275667761353,
-0.22000965670564304,
0.10097985510593746,
0.11696443055781189,
0.23203533776620586,
0.12701836337404482,
0.3200434231055673,
0.1682955549698581,
0.45837590342497836,
-0.16221410639986367,
-0.21304038234647726,
0.1482016731938... | {
"n_parameters": 113,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 7 |
54a88e4bf9eba50970f4f6239c6ad816 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 1, "s... | {"states": [111, 239], "expectation_value": -6.491343794723452, "params": null, "bitstrings": ["110010000", "100010000"], "total_optimization_steps": 68, "probabilities": [0.00415858273822145, 0.9910444896765185], "optimization_time": 110.55331110954285} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.25 * (Z(3) @ Z(7)) + -0.25 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(5)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(6... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["110010000", "100010000", "111011110", "100000000"], "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(-0.3793360292258723) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.5201896407098358) q[4];
cx q[1], q[4];
rz(-0.5201896407098361) q[4];
rx(-0.7670228702555436) q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[7];
rz(-0.37933... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[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] = m... | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IZIIIIIZI",
"IIIIIIZZI",
"IZIIIIZII",
"IZIIIZIII",
"IZIZIIIII",
"IIIZIZIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"IIZIIIIZI",
"IZZIIIIII",
"IIZIIIZII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IZIIIIIII",
"IIIIIIZII",
"... | [
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.75,
0.75,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
0.25,
-0.25,
-0.75,
0,
-0.25,
1.75,
-1,
-0.5,
0.75
] | 0.758041 | [
-0.3793360292258723,
-0.5201896407098358,
-0.38243772138101756,
0.3107532064049031,
-1.0193568042474141,
-0.10867563690290413,
1.2064359660083703,
-0.7234303447869407,
-0.7670228702555438,
0.8205618517798737,
0.9675232474993655,
0.5915471870437505,
-1.0311894401406954,
1.1821597172385196,
... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 500 |
02575a12c565dc28617818fe7f0b4a99 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 11, "source": 1, "target": 3}, {... | {"states": [123, 118], "expectation_value": -37.43620304047168, "params": null, "bitstrings": ["10000100", "10001001"], "total_optimization_steps": 100, "probabilities": [0.14850359474344763, 0.18487269087280014], "optimization_time": 183.13639307022095} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(5)) + 9.5 * Z(1) + 7.5 * Z(0) + 13.5 * Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -52.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 139.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.23507353246165305) q[0];
ry(-2.4415664310148384) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-2.4499701101813587) q[2];
h q[3];
ry(0.9227705559152606) q[3];
h q[4];
ry(-2.458330084571739) q[5];
rz(-pi) q[5];
h q[6];
ry(39.04965588622594) q[6];
cx q[6], q[5];
ry(-... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(38.6317) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
9.5,
7.5,
13.5,
13.5,
9,
14,
16.5,
4
] | 0.971754 | [
39.04965588622594,
-5.700698017949098,
2.166064408115155,
0.9227705559152606,
0.39121486102403674,
0.6100929370927086,
0.9591104863918101,
0.19270892417635244,
-0.4759729115203181,
0.08905781936669226,
-0.26208726603383503,
-0.3379662386073564,
0.04072076886277337,
-0.19606358742522542,
... | {
"n_parameters": 63,
"n_qubits": 8,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 51 |
00c47f772e828bc0d4453cbe4002ef93 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [13, 7], "expectation_value": -7.301179756772244, "params": [[0.0434, 0.0373, 0.0236, 0.0083], [-0.051000000000000004, -0.066, -0.0636, -0.048400000000000006]], "bitstrings": ["1110010", "1111000"], "total_optimization_steps": 10, "probabilities": [0.021309919048683533, 0.023966669347355207], "optimization_t... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 10 | 7 | 4 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.3740494778088388) q[0];
rz(0.038480760740334644) q[0];
ry(0.224551751390454) q[1];
rz(0.5370851894701437) q[1];
cx q[1], q[0];
ry(0.4448488714328079) q[0];
rz(0.05144857571396507) q[0];
ry(0.3371077171914179) q[1];
rz(0.08762329343067346) q[1];
ry(0.104881867130796... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.25,
-3.5,
-3.25,
-3.25,
-3.25,
-2.75,
-3,
-3
] | 0.973285 | [
0.3740494778088388,
0.038480760740334644,
0.224551751390454,
0.5370851894701437,
0.10488186713079617,
0.1035541280360952,
-0.01808806022148845,
-0.024568873931475266,
0.25887705446175446,
0.13569640496103613,
0.02791278499853541,
0.3774374145905032,
1.1970490074798599,
-0.17339973107511375... | {
"n_parameters": 127,
"n_qubits": 9,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 80 |
1d36f605f450bd24c53bed4c61ab6422 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6... | {"states": [35, 51], "expectation_value": -5.999992674318019, "params": null, "bitstrings": ["1011100", "1001100"], "total_optimization_steps": 25, "probabilities": [0.4999990845657494, 0.4999990845657494], "optimization_time": 21.902257680892944} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(1) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -1.0 * Z(3) + -0.25 * Z(0) + -0.75 * Z(4) + 0.25 * Z(2) + 0.25 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["1011100", "1001100"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.44173747837386507) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(-0.44173747837386507) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.005603409297500889) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(0.005603409297500889) q[2];
c... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5706) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"IIZIZII",
"IIIIZZI",
"ZIIIIIZ",
"ZIIIIZI",
"IZIZIII",
"IZZIIII",
"IZIIIZI",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IIIIIZI",
"ZIIIIII",
"IZIIIII"
] | [
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-1,
-0.25,
-0.75,
0.25,
0.25,
0.25,
1.25
] | 0.970536 | [
-0.44173747837386507,
0.005603409297500889,
0.05836178307980425,
-1.201402489306377,
-0.9317048549953064,
0.7320633774444789,
0.772973794919639,
-1.6652911638748984,
-0.7518283058778058,
0.06520245980832098,
0.12228192436712314,
-0.10637680738364871,
-0.2779417698846335,
1.5718265483768925... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 91 |
f619afa25c1921f996d128a1dfefef72 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 3, "target": 4}, {"weight": 1, "... | {"states": [2705, 2709], "expectation_value": -0.7395554533751841, "params": [0.2889, 0.0267, 0.2958, 0.0261, 0.097, -0.06620000000000001, 0.0952, -0.0707, 0.28850000000000003, -0.011600000000000001, 0.28950000000000004, -0.0261, 0.0966, 0.0946, 0.09670000000000001, 0.0889, 0.2889, 0.019700000000000002, 0.2880000000000... | 0.25 * (Z(0) @ Z(1)) + -0.0017499999999999998 * (Z(2) @ Z(0)) + -0.0017499999999999998 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0017499999999999998 * (Z(4) @ Z(0)) + 0.00025000000000000006 * (Z(4) @ Z(2)) + -0.0017499999999999998 * (Z(5) @ Z(1)) + 0.00025000000000000006 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 5 | 12 | 4 | {"smallest_eigenvalues": [-1.52, -1.52], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5159999999999996, "smallest_bitstrings": ["101010010101", "010101101010"], "largest_eigenvalue": 1.5229999999999997} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.4936559659629063) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.013500835409830762) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.013500835409830762) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(1.4936559659629063) q[3];
cx q[2], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.0017499999999999998,
-0.0017499999999999998,
0.25,
-0.0017499999999999998,
0.00025000000000000006,
-0.0017499999999999998,
0.00025000000000000006,
0.25,
0.00075,
0.00025000000000000006,
0.00025000000000000006,
0.00075,
0.00025000000000000006,
0.00025000000000000006,
0.25,
0.... | 0.974012 | [
1.4936559659629063,
0.013500835409830762,
-0.004945064526051042,
0.0475064589351132,
-0.0973573450378921,
-0.024370407967199997,
0.09398041354422079,
-0.7569490972859623
] | {
"n_parameters": 8,
"n_qubits": 12,
"optimal_eigenvalue": -1.52,
"target_ratio": 0.97,
"target_value": -1.4744
} | 27 |
5613929488697532029 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[3, 4], [0, 1, 2, 4, 5, 8, 10], [2, 4, 6, 8, 10, 11], [8, 9, 4, 7], [0, 1, 7, 8, 10], [0, 3, 5, 6, 7, 9], [0, 10, 4, 6], [3, 6, 7, 9, 10], [0, 1, 3, 5, 10, 11], [0, 1, 3, 5, 8, 9, 10], [2, 11, 5], [0, 2, 4, 6, 8, 9], [0, 1, 4, 5, 8, 9, 11], [8, 3, 11]]} | {"states": [2839, 1263], "expectation_value": -2.894617877417323, "params": [[[3.1391, 0.0027], [3.1384000000000003, 0.0037], [0.002, 0.0024000000000000002], [3.1396, 0.0045000000000000005], [0.0027, 0.008400000000000001], [0.7571, 0.005], [2.2473, 0.0063], [3.1395, 0.0094], [1.5384, 0.007], [-0.0017000000000000001, 0.... | 0.5 * (Z(3) @ Z(4)) + 0.16428571428571428 * (Z(0) @ Z(4)) + 0.09047619047619047 * (Z(0) @ Z(3)) + 0.047619047619047616 * (Z(1) @ Z(4)) + 0.05714285714285714 * (Z(1) @ Z(3)) + 0.15476190476190477 * (Z(1) @ Z(0)) + 0.09047619047619047 * (Z(2) @ Z(4)) + 0.05714285714285714 * (Z(2) @ Z(0)) + 0.023809523809523808 * (Z(2) @ ... | 2 | 12 | 1 | {"smallest_eigenvalues": [-3.2571428571428576], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.1928571428571426, "smallest_bitstrings": ["101100010000"], "largest_eigenvalue": 13.499999999999993} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(2.9117549142372057) q[0];
rz(-0.21373106129719113) q[0];
rx(3.211209021218146) q[1];
rz(0.23747367185242907) q[1];
rx(-0.11277713911610691) q[2];
rz(0.06330615222537142) q[2];
rx(3.0744901673180127) q[3];
rz(-0.02040572030111029) q[3];
rx(-0.21373106129719113) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZIII",
"IIIIIIIZIIIZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIZI",
"IIIIIIIIZIZI",
"IIIIIIIIIIZZ",
"IIIIIIIZIZII",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIIZIIIIZ",
"IIIIIIZIIIZI",
"IIIIIIZIIZII",
"IIIZIIIZIIII",
"IIIZIIIIZIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.5,
0.16428571428571428,
0.09047619047619047,
0.047619047619047616,
0.05714285714285714,
0.15476190476190477,
0.09047619047619047,
0.05714285714285714,
0.023809523809523808,
0.047619047619047616,
0.09047619047619047,
0.1380952380952381,
0.10476190476190475,
0.19047619047619047,
0.197619... | 0.976544 | [
2.9117549142372057,
-0.21373106129719113,
3.211209021218146,
0.23747367185242907,
-0.11277713911610691,
0.06330615222537142,
3.0744901673180127,
-0.02040572030111029,
-0.2464330753615173,
0.1584468608702145,
-0.0859525982780285,
2.6328071110399094,
-0.024096158860854346,
2.8833263917533447... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -3.2571428571428576,
"target_ratio": 0.97,
"target_value": -3.1594285714285717
} | 14 |
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": 1.953711748123169} | 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 | 3 | {"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 |
cdb854f7a3121cd6804897539bcddf09 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "targ... | {"states": [16381, 16371], "expectation_value": -23.464456105691315, "params": [[[0.0026000000000000003, 3.1385], [0.0018000000000000002, 0.0021000000000000003], [0.002, 0.0019], [0.0021000000000000003, 0.0019], [0.002, 0.0018000000000000002], [0.0022, 0.0017000000000000001], [0.0022, 0.0021000000000000003], [0.0019, 0... | -2.0 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -2.0 * (Z(5) @ Z(6)) + -2.5 * (Z(9) @ Z(6)) + -2.0 * (Z(9) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(8) @ Z(6)) + 0.5 ... | 15 | 14 | 1 | {"smallest_eigenvalues": [-27.499999999999893], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.499999999999567, "smallest_bitstrings": ["00000000001100"], "largest_eigenvalue": 28.500000000000032} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
ry(-0.11429483586611282) q[0];
ry(-0.05578259262036971) q[1];
ry(0.0015836606271090788) q[2];
ry(0.016309045351534567) q[3];
ry(0.0015836606271090788) q[4];
ry(-0.029965169944910865) q[5];
ry(-0.029965169944910865) q[6];
ry(-0.0063374985794878505) q[7];
ry(-0.006337498... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": 14} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZIZ",
"IIIIIIIIIZIZII",
"IIIIIIIIIZIIIZ",
"IIIIIIIIIIIZZI",
"IIIIIIIIIIZZII",
"IIIIIIIIIIZIIZ",
"IIIIIIIIIIZIZI",
"IIIIIIIZZIIIII",
"IIIIZIIZIIIIII",
"IIIIZIIIZIIIII",
"IIIIIIZZIIIIII",
"IIIIIIZIZIIIII",
"IIIIZIZIIIIIII",
"IIIIIZIZIIIIII",
"IIIIIZIIZIIIII",
"IIIIZZIIIIIIII"... | [
-2,
0.5,
-1.5,
0.5,
-2,
0.5,
-1.5,
-2,
-2.5,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
-2.5,
0.5,
1,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
1.5,
-2
] | 0.971583 | [
-0.11429483586611282,
-0.05578259262036971,
0.0015836606271090788,
0.016309045351534567,
-0.029965169944910865,
-0.0063374985794878505,
0.03995939506622638,
-0.06650969211920973,
0.06745235711060826,
-0.030539624819924567,
3.1483511345716906,
0.07663163467702269,
-3.185427138306199,
0.0704... | {
"n_parameters": 16,
"n_qubits": 14,
"optimal_eigenvalue": -27.499999999999893,
"target_ratio": 0.97,
"target_value": -26.674999999999894
} | 57 |
7282702479489441897 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2], [3, 5], [4, 7], [5, 6], [0, 5], [5, 7], [2, 3], [4, 6], [2, 4], [3, 4], [1, 4], [0, 4], [2, 5], [0, 7], [3, 6]]} | {"states": [44, 211], "expectation_value": -0.12138900530927901, "params": [[-0.0621], [0.0668]], "bitstrings": ["11010011", "00101100"], "total_optimization_steps": 10, "probabilities": [0.004367658618046346, 0.004367658618046346], "optimization_time": 0.6895575523376465} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.5, "smallest_bitstrings": ["11100011", "00001100", "00011100", "10110011", "01001100", "10100011", "01011100", "00101100", "11110011", "11010011"], "largest_eigenvalue"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.09848840852475158) q[0];
rz(1.9358491939502818) q[0];
rx(1.1411267165260939) q[1];
rz(1.7539559691054638) q[1];
rx(0.16604944545979086) q[2];
rz(1.0046673785747213) q[2];
rx(0.9152508005042324) q[3];
rz(1.0975985282514102) q[3];
rx(2.4530704636152203) q[4];
rz(1.71... | 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[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[2], q[5];
rz(x0) q[5];
cx q[2], q[5];
cx q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZZII",
"IIZIIZII",
"IIZIZIII",
"IIIZIZII",
"IIIZIIZI",
"IIIZZIII",
"ZIZIIIII",
"ZIIZIIII",
"IZIIZIII",
"IZZIIIII",
"IZIZIIII",
"IIZIIIIZ",
"IIIZIIIZ",
"ZIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIIIII... | [
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
] | 0.971794 | [
0.09848840852475155,
0.3650528671553852,
1.1411267165260939,
0.18315964231056753,
0.1660494454597909,
-0.5661289482201748,
0.9152508005042321,
-0.47319779854348604,
2.4530704636152203,
0.1458210295246099,
1.8564964709041771,
-0.15446378290048543,
0.23529260749136843,
0.26913862241104003,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 71 |
aa7d7207794ebe4415ef692308a5e5fc | 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": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 0, "target": 8}, {"capacity": 2, "source": 0, "target":... | {"states": [2047, 1021], "expectation_value": -26.300758643486084, "params": [[[0.0023, 3.1383], [0.0024000000000000002, 0.0026000000000000003], [0.0014, 0.0019], [0.0034000000000000002, 0.0026000000000000003], [0.0029000000000000002, -0.003], [0.0019, 0.0024000000000000002], [-0.0031000000000000003, 0.0025], [0.003100... | -0.75 * (Z(0) @ Z(8)) + -1.0 * (Z(9) @ Z(0)) + -0.5 * (Z(10) @ Z(0)) + -1.5 * (Z(2) @ Z(8)) + 2.5 * (Z(2) @ Z(0)) + -0.25 * (Z(2) @ Z(10)) + -1.5 * (Z(1) @ Z(8)) + -1.0 * (Z(1) @ Z(10)) + -0.5 * (Z(1) @ Z(2)) + -1.0 * (Z(3) @ Z(8)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z... | 15 | 11 | 1 | {"smallest_eigenvalues": [-28.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.25, "smallest_bitstrings": ["10000000010"], "largest_eigenvalue": 26.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.5627477816923672) q[0];
ry(-0.6032916968026625) q[1];
ry(0.004243511993262589) q[2];
ry(-0.02615736718515206) q[3];
ry(-0.014595675420798706) q[4];
ry(0.06772359271653239) q[5];
ry(0.0327989780980917) q[6];
ry(-0.04104251659255069) q[7];
ry(-0.05891242879637312) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIZ",
"IZIIIIIIIIZ",
"ZIIIIIIIIIZ",
"IIZIIIIIZII",
"IIIIIIIIZIZ",
"ZIIIIIIIZII",
"IIZIIIIIIZI",
"ZIIIIIIIIZI",
"IIIIIIIIZZI",
"IIZIIIIZIII",
"IIIIIIIZIZI",
"IZIIIIZIIII",
"IIIIIIZIZII",
"IIIIIIZIIZI",
"IIZIIZIIIII",
"IIIIIZIIIZI",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIZIZIIII... | [
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1.5,
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3.25,
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3.25,
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] | 0.973182 | [
-0.5627477816923672,
-0.6032916968026625,
0.004243511993262589,
-0.02615736718515206,
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0.06772359271653239,
0.0327989780980917,
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0.20114534225588804,
-0.07107568270280551,
2.5119309858335215,
0.14439532816359668,
0.0419014674... | {
"n_parameters": 27,
"n_qubits": 11,
"optimal_eigenvalue": -28.25,
"target_ratio": 0.97,
"target_value": -27.4025
} | 32 |
9d1382902993d8e771af3489e0021226 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [250, 467], "expectation_value": -0.07549626948024316, "params": [[0.043300000000000005, 0.020300000000000002, 0.0378], [-0.042100000000000005, -0.0213, -0.026500000000000003]], "bitstrings": ["100000101", "000101100"], "total_optimization_steps": 10, "probabilities": [0.0023013121427941465, 0.00230131214279... | 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(... | 1 | 9 | 3 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.125, "smallest_bitstrings": ["100000101", "010010001", "000101100", "010001010"], "largest_eigenvalue": 5.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.5734866058128874) q[0];
ry(-3.049185198245095) q[1];
rz(-pi) q[1];
h q[2];
ry(1.356383431000579) q[2];
cx q[2], q[1];
ry(-0.11338480721692776) q[1];
cx q[2], q[1];
ry(0.08622704143012419) q[2];
rz(-pi) q[3];
ry(-0.08286575263427674) q[3];
ry(-0.06072020170... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIZZIIIZ",
"IIZIIIIZI",
"IIZIZIIII",
"IZIIZIIII",
"IZZIIIIII",
"IZZIZIIII",
"IIIZIIZII",
"... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
-0.125,
0.125,
0.125,
0,
0,
-0.25,
0,
0
] | 0.994348 | [
-1.5734866058128874,
-1.636888113613539,
-1.4874054263622778,
1.356383431000579,
1.3650040642332704,
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0.22676961443385552,
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0.17245408286024838,
-0.03354793163126881,
0.029471096484107714,
0.07208817537219585,
0.1322483325046339,
-0.092611818275263... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
4243f02c605bbdbed3a1b13ecb63eadb | 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": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target":... | {"states": [0, 320], "expectation_value": -28.002157791804027, "params": [0.0007, 0.1898, 0.0015, 0.184, -0.0055000000000000005, 0.2369, 0.0011, 0.2248, 0.30810000000000004, -0.00030000000000000003, 0.3084, -0.0002, 0.0047, 0.2043, -0.0051, 0.2406, 0.2662, -0.0038, 0.2685, -0.0038, 0.0077, 0.0482, 0.0026000000000000003... | -0.25 * (Z(0) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(9) @ Z(5)) + -0.25 * (Z(9) @ Z(0)) + -0.5 * (Z(10) @ Z(5)) + -0.5 * (Z(10) @ Z(0)) + -1.0 * (Z(10) @ Z(6)) + -0.75 * (Z(10) @ Z(9)) + 2.25 * (Z(2) @ Z(0)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(9)) + -0.75 * (Z(... | 6 | 11 | 3 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["11010111111"], "largest_eigenvalue": 28.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.06870354953118415) q[0];
rz(-0.6757904948249251) q[0];
rx(-0.06759582632864572) q[1];
rz(-0.7664898096289718) q[1];
rx(1.3910136882041804) q[2];
rz(0.22404754836777396) q[2];
rx(-0.03151058959967032) q[3];
rz(-0.48554377761286815) q[3];
rx(1.0304975957702986) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIZ",
"IIIIZZIIIII",
"IIIIZIIIIIZ",
"IZIIIZIIIII",
"IZIIIIIIIIZ",
"ZIIIIZIIIII",
"ZIIIIIIIIIZ",
"ZIIIZIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZIZ",
"IIIIZIIIZII",
"IIIIIZIIIZI",
"IZIIIIIIIZI",
"ZIIIIIIIIZI",
"IIZIIZIIIII",
"IIZIZIIIIII",
"ZIZIIIIIIII",
"IIZIIIIIIZI",
"IIIIIZIZI... | [
-0.25,
-1.5,
-1,
-0.25,
-0.25,
-0.5,
-0.5,
-1,
-0.75,
2.25,
-0.25,
-0.25,
-0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-1,
-1,
-0.75,
-0.5,
-1,
-0.5,
-0.25,
-0.5,
-1,
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-1,
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-1.5,
-0.75,
-0.25,
-0.5,
-0.75,
-0.5,
-1,
-1,
-0.75,
-0.25,
-0.75... | 0.971867 | [
-0.06870354953118415,
-0.754230916043876,
-0.0675958263286457,
-0.6595827407875207,
1.3910136882041806,
0.23420118580921093,
-0.03151058959967032,
-0.45676208487980874,
1.0304975957702986,
0.07230125412842586,
-0.5679611053651955,
-0.2287637917624824,
0.025508019559410025,
-0.7802302063612... | {
"n_parameters": 43,
"n_qubits": 11,
"optimal_eigenvalue": -31,
"target_ratio": 0.97,
"target_value": -30.07
} | 12 |
50ae2479d5601754158b9fc59193bb01 | 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": 6}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [89, 90], "expectation_value": -4.499877231909843, "params": null, "bitstrings": ["0100110", "0100101"], "total_optimization_steps": 34, "probabilities": [1.6414107538670035e-05, 0.9999257932419419], "optimization_time": 33.80292248725891} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(6) + -0.5 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0100101"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.8641516243728328) q[0];
rz(0.12726576765066508) q[0];
ry(0.7102320564934299) q[1];
ry(0.22422525448080505) q[2];
ry(-0.026146315359939894) q[3];
ry(0.6080971468829723) q[4];
ry(0.782750503349865) q[5];
ry(-0.08643926721123996) q[6];
ry(-0.03991970599118564) q[7];
c... | 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",
"IIZIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"IZIIIZI",
"ZZIIIII",
"IIIIZZI",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IZIIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-0.5,
-1,
-0.5,
0,
0
] | 0.971114 | [
0.8641516243728328,
0.7102320564934299,
0.22422525448080505,
-0.026146315359939894,
0.6080971468829723,
0.782750503349865,
-0.08643926721123996,
-0.03991970599118564,
0.25453153530133016,
0.46343250275949954,
-0.08223540585418547,
0.073471514791184,
0.3957229011270565,
0.14637513115560807,... | {
"n_parameters": 57,
"n_qubits": 8,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 7 |
-2368963512029151782 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[2, 3], [0, 1], [0, 3], [1, 3]]} | {"states": [6, 14], "expectation_value": -0.8856979653185816, "params": null, "bitstrings": ["1001", "0001"], "total_optimization_steps": 19, "probabilities": [0.354369625868032, 0.45076300031592137], "optimization_time": 10.830183506011963} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0, -1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": 0.0, "smallest_bitstrings": ["1110", "1010", "1001", "0110", "0101", "0001"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.6529091786096665) q[2];
cx q[3], q[2];
rz(-1.1279139400244276e-08) q[2];
rx(0.6586486778999602) q[2];
cx q[3], q[0];
rz(-0.6529091786096665) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.6529091786096665) q[1];
cx q[3], q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncry(-1.0342) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh... | [
"ZZII",
"ZIIZ",
"ZIZI",
"IIZZ",
"ZIII",
"IZII",
"IIIZ",
"IIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0
] | 0.713495 | [
-0.6529091786096665,
-1.127913989448706e-8,
0.6586486778999603
] | {
"n_parameters": 3,
"n_qubits": 4,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 93 |
d78f7556e7639886d17f02ad3944a31a | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": 4, "target":... | {"states": [0, 451], "expectation_value": -15.640462124981276, "params": [0.14, 0.7708, -0.3336, 0.8085, 0.26, 0.8347, -0.33190000000000003, 0.8673000000000001, -0.3069, 0.22340000000000002, -0.3279, 0.3766, 0.0016, 0.6911, 0.0015, 0.73, -0.007500000000000001, 0.526, 0.0013000000000000002, 0.5438000000000001, 0.0005, 0... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(6)) + -2.5 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(6)) + 1.0 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z(6) + -2.0 * Z(3) + -2.0 * Z(4) + -2.0 * Z(5) +... | 6 | 9 | 3 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["000111100"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.05874846667619159) q[0];
rz(1.9938695320304731) q[0];
rx(0.29855314565580754) q[1];
rz(-2.706525495615969) q[1];
rx(0.8586485872377975) q[2];
rz(2.2057165673183015) q[2];
rx(-0.007408008823412165) q[3];
rz(2.6264064151643502) q[3];
rx(-0.16417141447225342) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIZIIZIII",
"IIZIZIIII",
"IIIIZZIII",
"IIZZIIIII",
"IIIZIZIII",
"IIIZZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIZIIIIII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-1.5,
-1.5,
0.5,
-2.5,
-2.5,
1,
-2.5,
1,
1,
-1,
0.5,
0.5,
0.5,
-2,
-2,
-2,
-2,
0.5,
0.5
] | 0.970667 | [
0.05874846667619159,
0.4230732052355772,
0.2985531456558076,
2.005863484768721,
0.8586485872377975,
0.6349202405234045,
-0.0074080088234121655,
1.0556100883694532,
-0.1641714144722534,
0.40538719110291965,
0.40044468149668,
0.7834637422395953,
-0.27756347602056,
0.5299736123246076,
0.367... | {
"n_parameters": 88,
"n_qubits": 9,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 186 |
fd959b015d7c5b50b2cd05831ed95a60 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 2}, {"weight": 17, "source": 0, "target": 4}, {"weight": 19, "source": 1, "target": 2}, {"weight": 1... | {"states": [250, 122], "expectation_value": -69.16728219256953, "params": [0.38530000000000003, 0.2442, 0.7728, 0.0016, 0.7847000000000001, 0.001, 0.7828, -0.0059, 0.8617, 0.1459, 0.0949, 0.3871, 0.8855000000000001, 0.1376, 0.1769, 0.3416, 0.3859, 0.23600000000000002, 0.7827000000000001, -0.0024000000000000002, 0.784, ... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) ... | 18 | 8 | 4 | {"smallest_eigenvalues": [-73.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 155.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.2814273479283241) q[0];
cx q[5], q[0];
rz(0.988627421386453) q[0];
rx(-1.6100914394477277) q[0];
cx q[5], q[1];
rz(-0.2814273479283241) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.2814273479283241) q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"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,
17,
11,
12,
20,
12.5,
4,
17.5,
5
] | 0.793132 | [
-0.2814273479283241,
-2.083999084261337,
0.9886274213864532,
-0.2943566891904666,
-0.17545221926890683,
-1.6100914394477277,
0.44025124807503524,
1.5189639182857877,
-0.6158615151039641,
-0.2722032415841509,
-0.7056736669533165
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 249 |
fc7b19754949f0e05a27875fb69f344a | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}]} | {"states": [13, 31], "expectation_value": -6.902789604743709, "params": [[0.0403, 0.0092, 0.0205, 0.006200000000000001], [-0.0621, -0.037000000000000005, -0.0453, -0.038200000000000005]], "bitstrings": ["11110010", "11100000"], "total_optimization_steps": 10, "probabilities": [0.007445189318267387, 0.00765176874455592]... | 2.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 3.0 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -3.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.125 * (Z(2) @ Z(0)) + 9.0 * Z(4) + 4.5 * Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-22.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.125, "smallest_bitstrings": ["11100000"], "largest_eigenvalue": 53.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.039738840687134236) q[0];
rz(-0.2353337499900654) q[0];
rx(-0.039738840687134236) q[1];
rz(-0.021455568999004995) q[1];
rx(0.00241554966618817) q[2];
rz(0.13687828871885735) q[2];
rx(2.1135641398643044) q[3];
rz(0.09140913237800194) q[3];
rx(3.251386907726556) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIZIIII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII"
] | [
2,
6,
3,
-1,
-0.5,
-1.5,
-2,
-1,
-3,
1,
-0.25,
-0.25,
-0.125,
9,
4.5,
13.5,
-1.5,
-3,
-1,
-0.5,
-0.5
] | 0.972155 | [
-0.039738840687134236,
-0.2358725824553829,
-0.021455568999004995,
0.00241554966618817,
0.13687828871885735,
2.1135641398643044,
0.09140913237800194,
3.251386907726556,
0.10228857007698645,
3.096010759129636,
-0.05175610628712672,
-2.9402631276470084,
0.16839375237658555,
-2.80609486114488... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -22.125,
"target_ratio": 0.97,
"target_value": -21.46125
} | 4 |
7af7d775bcaae53afe2e6cd801577577 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4... | {"states": [61, 63], "expectation_value": -0.47743221344062126, "params": [[0.0639, 0.069], [-0.0417, -0.0577]], "bitstrings": ["1000010", "1000000"], "total_optimization_steps": 10, "probabilities": [0.010647077825809249, 0.010962550652322652], "optimization_time": 2.3818883895874023} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + -0.5 * Z(5) + -0.75 * Z(3) + 1.25 * Z(1) + 0.0 * Z(4) + -0.25 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000010", "1000000", "1001010", "1001000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-3.566343849078252e-08) q[0];
h q[1];
ry(1.5707964254551867) q[1];
h q[2];
ry(0.7853981577683291) q[2];
h q[3];
h q[4];
cx q[4], q[2];
ry(-0.7853981577683291) q[2];
cx q[4], q[2];
ry(0.6154797280173793) q[4];
cx q[2], q[4];
ry(-0.6154797280173793) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IZIIZII",
"IZIIIIZ",
"IIIZIZI",
"IIZIZII",
"IIZIIZI",
"ZIIIIIZ",
"ZZIIIII",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII"
] | [
-0.25,
-0.5,
-0.5,
-0.75,
-1.25,
-0.5,
1,
-0.5,
-0.75,
0.5,
-0.25,
-0.5,
-0.75,
1.25,
0,
-0.25
] | 0.95 | [
1.5707964254551867,
1.5707963155366582,
1.2309594560347585,
-7.132687698156503e-8,
2.189959071533727,
-0.47139845987290235,
-1.3036990549846905,
0.9516337926517188,
-0.3288340396280566,
-0.2670971148890294,
-0.8747769099903144,
-1.5707965383304736,
-2.53334717147801e-7,
0.5628747003910123,... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 393 |
20a60ed013bc1976376f734be7d8d92c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [2, 6], "expectation_value": -0.9975482063899028, "params": [0.2949, 0.509, 0.2353, 0.0098, 0.8486, -0.0217, 0.8033, 0.0012000000000000001, 0.8592000000000001, 0.09290000000000001, 0.8371000000000001, 0.005200000000000001, 0.24400000000000002, -0.4374, 0.22690000000000002, 0.0046, 0.5241, -0.3748, 0.4434, -0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) | 5 | 4 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1001", "0110"], "largest_eigenvalue": 4.0} | 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] 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": []} | [
"IIZZ",
"ZZII",
"IZIZ",
"ZIZI",
"IIIZ",
"IIZI",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 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 |
dddd2c6c503a97ade6b445e6815c4f85 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3... | {"states": [17, 1], "expectation_value": -18.2033545525087, "params": null, "bitstrings": ["1101110", "1111110"], "total_optimization_steps": 39, "probabilities": [0.09184956582734856, 0.7367857029693289], "optimization_time": 39.31627440452576} | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(1)) + 4.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -4.5 * Z(2) + -0.2... | 1 | 7 | 4 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.3835829982735985) q[0];
h q[1];
ry(-0.23054234387346784) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.6609807137639119) q[3];
h q[4];
ry(-1.6609807137639119) q[4];
h q[5];
h q[6];
ry(1.5858095443127922) q[6];
cx q[6], q[0];
ry(0.3835829982735985) q[0];
cx q[6], q[0];... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-0.7408) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IIIZIZI",
"IIZIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII"
] | [
-1.5,
-1,
-1,
-0.5,
-1.5,
-1,
-0.5,
-1.25,
-1.5,
-0.5,
-0.75,
4.25,
-0.25,
-4.5,
-0.25,
1,
-0.5,
0,
0.25,
4
] | 0.980551 | [
-1.4098882403195747,
1.5858095443127922,
-0.767165996547197,
-0.5539265111555969,
0.13926851479629185,
-0.11045327377191261,
-0.34994570639390055,
-1.6609807137639119,
-0.0033508676810675153,
-0.2813424644813915,
1.1199313195889984,
1.411419348927798,
-0.0019517279154879635,
0.706605540424... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 23 |
b426b8aff164c6823b185eb6b091738d | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [53, 75], "expectation_value": -0.04087461820574492, "params": [[-0.046200000000000005], [0.057800000000000004]], "bitstrings": ["1001010", "0110100"], "total_optimization_steps": 10, "probabilities": [0.008357263456849654, 0.008357263456849659], "optimization_time": 1.8265786170959473} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(5) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.2... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["1001010", "0110100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(3.146586182667847) q[0];
rz(-0.4960671937553839) q[0];
ry(-0.1292922814490114) q[1];
rz(-0.6985758714498361) q[1];
cz q[1], q[0];
ry(0.043070532367504924) q[1];
ry(-0.04475695876475132) q[2];
rz(0.6631600359423698) q[2];
ry(0.5756435583956447) q[3];
rz(-0.14283149628... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIZI",
"IZZIIII",
"IIZZIII",
"ZIIZIII",
"ZIZIIII",
"ZIZZIII",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"ZZIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
0
] | 0.988667 | [
3.146586182667847,
-0.4960671937553839,
-0.1292922814490114,
-0.6985758714498361,
-0.04475695876475132,
0.6631600359423698,
0.5756435583956447,
-0.14283149628386937,
0.09442180069266345,
2.7246196860446945,
0.021535266183752462,
3.2207334379454498,
-1.152313102082496,
-0.5291711248863585,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 27 |
45a16483fc17cca61ace9bf5c51bc6d6 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "ta... | {"states": [127, 126], "expectation_value": -0.28119682561587533, "params": [[0.0175], [-0.0207]], "bitstrings": ["0000000", "0000001"], "total_optimization_steps": 10, "probabilities": [0.00833886294512187, 0.008350916098394254], "optimization_time": 2.9359424114227295} | -3.0 * (Z(0) @ Z(1)) + 1.5 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(0)) + 1.5 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + 1.5 * (Z(5) @ Z(3)) + -3.0 * (Z(2) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(3)) + -3.0 * (Z(2) @ Z(5)) + -3.0 * (Z(4) @ Z(1)) + 1.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(5)) + -2.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-25.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["0000001"], "largest_eigenvalue": 32.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(0.774531122995546) q[0];
h q[1];
ry(0.8727131859620082) q[1];
h q[2];
ry(0.774531122995546) q[2];
h q[3];
h q[4];
ry(0.7297658012966488) q[4];
cx q[3], q[4];
ry(-0.7297658012966488) q[4];
cx q[3], q[4];
cx q[4], q[2];
ry(-0.774531122995546) q[2];
cx q[4], q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x1) q[3];
cx q[1], q[3]... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IZIIIZI",
"IZIIIIZ",
"IZIZIII",
"IIIIZZI",
"IIIIZIZ",
"IIIZZII",
"IZIIZII",
"IIZIIZI",
"IIZIIIZ",
"IIZZIII",
"IZZIIII",
"IIZIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"IIIIZII",
"IIZIIII",
"ZIIIIII"
] | [
-3,
1.5,
-3,
1.5,
-3,
1.5,
-3,
1.5,
-3,
-3,
-3,
1.5,
-3,
-3,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.968968 | [
1.4595316025932976,
1.549062245991092,
1.545834284937958,
1.7454263719240164,
3.192344007359476,
0.10154560705689283,
-1.7325776860086517,
-0.04126613852330897,
-0.2658293662505911,
-0.373213035945228,
-1.4606223318509728,
0.13238158449154463,
0.047989001576600424,
-0.024094463895148032,
... | {
"n_parameters": 48,
"n_qubits": 7,
"optimal_eigenvalue": -25.5,
"target_ratio": 0.97,
"target_value": -24.735
} | 500 |
2989818470589922369 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[1, 3, 7, 9, 11, 12], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12], [0, 2, 3, 5, 6, 10, 11, 12], [0, 2, 9, 11, 12], [8, 11], [11, 4, 7], [1, 3, 6, 9, 10, 11, 12]]} | {"states": [8070, 8078], "expectation_value": -1.6497983156153042, "params": [1.5759, 1.5730000000000002, 1.5688, 1.5676, 1.5667, 1.5687, 1.5659, 1.5705, 1.5853000000000002, 1.5896000000000001, 1.8959000000000001, 1.2322, 0.3486, 0.3487, 0.18480000000000002, 0.18680000000000002, 0.0019, 0.0019, 0.8328, 0.8294, 1.571500... | 0.06471861471861472 * (Z(1) @ Z(3)) + 0.04090909090909091 * (Z(7) @ Z(3)) + 0.04090909090909091 * (Z(7) @ Z(1)) + 0.06471861471861472 * (Z(9) @ Z(3)) + 0.06471861471861472 * (Z(9) @ Z(1)) + 0.04090909090909091 * (Z(9) @ Z(7)) + 0.075 * (Z(11) @ Z(3)) + 0.05714285714285714 * (Z(11) @ Z(1)) + 0.19999999999999998 * (Z(11)... | 13 | 13 | 1 | {"smallest_eigenvalues": [-1.7538961038961038, -1.7538961038961038, -1.7538961038961038], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.7436147186147184, "smallest_bitstrings": ["0001100010001", "0000000110101", "0000001110001"], "largest_eigenvalue": 6.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.6820678572600376) q[0];
rz(-0.36014101583296354) q[0];
ry(1.6248879995978616) q[1];
ry(1.8995679840041735) q[2];
ry(1.3360598510565393) q[3];
ry(1.946949173241701) q[4];
ry(2.035349083041542) q[5];
ry(0.4553174132580291) q[6];
ry(0.282032435167152) q[7];
ry(-0.068... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIIIIZIZI",
"IIIIIZIIIZIII",
"IIIIIZIIIIIZI",
"IIIZIIIIIZIII",
"IIIZIIIIIIIZI",
"IIIZIZIIIIIII",
"IZIIIIIIIZIII",
"IZIIIIIIIIIZI",
"IZIIIZIIIIIII",
"IZIZIIIIIIIII",
"ZIIIIIIIIZIII",
"ZIIIIIIIIIIZI",
"ZIIIIZIIIIIII",
"ZIIZIIIIIIIII",
"ZZIIIIIIIIIII",
"IIIIIIIIIZIIZ",
"IIIIIIIIIII... | [
0.06471861471861472,
0.04090909090909091,
0.04090909090909091,
0.06471861471861472,
0.06471861471861472,
0.04090909090909091,
0.075,
0.05714285714285714,
0.19999999999999998,
0.10714285714285715,
0.08257575757575758,
0.06471861471861472,
0.04090909090909091,
0.11471861471861472,
0.125,
... | 0.972352 | [
1.6820678572600376,
1.6248879995978616,
1.8995679840041735,
1.3360598510565393,
1.946949173241701,
2.035349083041542,
0.4553174132580291,
0.282032435167152,
-0.06877907802983982,
1.2812910650325193,
1.6224478456832605,
1.599043924838418,
-0.35021287582214533,
-0.7202820316659271,
0.08241... | {
"n_parameters": 50,
"n_qubits": 13,
"optimal_eigenvalue": -1.7538961038961038,
"target_ratio": 0.97,
"target_value": -1.7012792207792207
} | 10 |
90ed954541db23a75eecb07977c28089 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": ... | {"states": [28, 3], "expectation_value": -0.13692220909669098, "params": [[0.043500000000000004], [-0.040100000000000004]], "bitstrings": ["100011", "111100"], "total_optimization_steps": 10, "probabilities": [0.016385701071935144, 0.01639818095704615], "optimization_time": 1.4477770328521729} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.5 * 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": ["101011", "100111", "111100"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3009393722060807) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.3009393722060807) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.3009393722060807) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.3009393722060807) q[0];
cx q[3], q[0];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[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[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(x0) q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2,
-1.5,
-1.5,
-1.5,
-1.5
] | 0.807446 | [
0.3009393722060807,
1.2484013044131173,
-0.3798378390662217,
0.4270385845264586,
-0.18410433411884003,
0.15621560101591658,
0.7528483255570873,
0.46142641491757197,
0.9481662270374182,
-0.565569105340614,
-0.3443169043342043,
-0.45828684618528925,
0.6868535447971575,
-0.27349808895761746,
... | {
"n_parameters": 27,
"n_qubits": 12,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 500 |
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": -0.037106195090662555, "params": [[0.0516, 0.020300000000000002], [-0.054200000000000005, -0.0269]], "bitstrings": ["1001", "0110"], "total_optimization_steps": 10, "probabilities": [0.06720636563376199, 0.06720636563376199], "optimization_time": 1.7578203678131104} | 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 | 2 | {"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;
input float[64] x3;
input float[64] x4;
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];... | {"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 |
f8645113517905e1df1749520352d679 | 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": 10, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 4}, {"weight": 7, "source": 2, "tar... | {"states": [351, 220], "expectation_value": -33.770427835155814, "params": null, "bitstrings": ["010100000", "100100011"], "total_optimization_steps": 100, "probabilities": [0.0903789040445417, 0.3121445371268592], "optimization_time": 150.01693773269653} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 6.0 * Z(1) + 5.0 * Z(0) + 12.0 * Z(2) + 8.0 * Z(4) + 8.0... | 1 | 9 | 1 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 130.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.10923383720549897) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.10923383720549897) q[2];
cx q[0], q[2];
rz(1.2299948032833266) q[0];
rx(1.0879082958788673) q[0];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.10923383720549897) q[3];
cx q[4]... | null | {"matching": "maximum", "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(7.7632) 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... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIZIIZIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
6,
5,
12,
8,
8,
17.5,
12,
6.5,
1
] | 0.859958 | [
0.10923383720549897,
-1.810537491794332,
1.229994803283326,
-1.6856305727411314,
-0.8120803734240312,
-1.7336898352556895,
1.3051021389879203,
1.3879897866400888,
1.0879082958788673,
-0.4710384321704608,
1.265319859463496,
-0.1555024889011401,
0.4251206411461428,
-0.2861529194851915,
-0.... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -71,
"target_ratio": 0.97,
"target_value": -68.87
} | 500 |
-229149218053872417 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 7], [9, 3], [9, 5], [0, 4], [0, 1], [8, 0], [9, 1], [8, 4], [2, 3], [6, 7]]} | {"states": [643, 651], "expectation_value": -0.5432243759982582, "params": [0.8858, 0.8875000000000001, 0.6729, 0.6621, 0.905, 0.8994000000000001, 0.5817, 0.6004, 0.6169, 0.6123000000000001, 0.6064, 0.5645, 0.8931, 0.8919, 0.6848000000000001, 0.6902, 0.8954000000000001, 0.8828, 0.8925000000000001, 0.8945000000000001, 0... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(9) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(8... | 14 | 10 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["0101110100", "1010001001", "1010001011", "1010101001", "0101010110", "0101110110"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.6385003900241861) q[0];
rz(pi/2) q[0];
ry(0.10809463083177473) q[1];
ry(1.2769237140563396) q[2];
ry(0.11412463332120133) q[3];
ry(0.14454406660254032) q[4];
ry(0.17228395550207387) q[5];
ry(1.824706574043875) q[6];
ry(-0.3303882234004282) q[7];
ry(1.0258653393204... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIZIIIIIIZ",
"ZIIIIIZIII",
"ZIIIZIIIII",
"IIIIIZIIIZ",
"IIIIIIIIZZ",
"ZIIIIIIIZI",
"IZIIIIIIIZ",
"IZIIIZIIII",
"IIIIIIZZII",
"IIZZIIIIII",
"IIZIIIIIII",
"IIIIIIIIIZ",
"IIIIIIZIII",
"ZIIIIIIIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIIIIIIZI",
"IZIIIIIIII",
"IIIIIIIZII",
"IIIZIIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.972077 | [
1.6385003900241861,
0.10809463083177473,
1.2769237140563396,
0.11412463332120133,
0.14454406660254032,
0.17228395550207387,
1.824706574043875,
-0.3303882234004282,
1.025865339320476,
1.0935733469981748,
-0.4339296672689162,
0.24575295250797397,
1.9285377117172646,
-0.6605369817675923,
1.... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 60 |
5d24358bf33b0fea3dae672970cf9db0 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 6}, {"weight": 12, "source": 0, "target": 4}, {"weight": 19, "sourc... | {"states": [241, 236], "expectation_value": -11.759819457459677, "params": [[0.0427, 0.010400000000000001], [-0.0565, -0.0468]], "bitstrings": ["100001110", "100010011"], "total_optimization_steps": 10, "probabilities": [0.005944687143794551, 0.007027350845310935], "optimization_time": 3.0638225078582764} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(6)) + 11.0 * Z(1) + 5.5 * Z(0) + 17.5 * Z(2) + 4.5 * Z(3) + 5.5 * Z(5) + 0.5 * Z(4) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 118.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-1.2203442762135228) q[0];
ry(3.052960367395124) q[0];
rz(1.8133674944976512) q[0];
rz(1.3201688740800668) q[1];
ry(2.5716751965883096) q[1];
rz(-1.810218850304879) q[1];
rz(0.948215878433798) q[2];
ry(0.07384876372832111) q[2];
rz(-0.9885785503838602) q[2];
rz(-1.20... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIZZIIII",
"IIZIIIZII",
"IIZIZIIII",
"IZIIIIIZI",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
11,
5.5,
17.5,
4.5,
5.5,
0.5,
13,
-2.5,
8.5
] | 0.975503 | [
1.6308181065446883,
-0.030402516210313535,
1.2682153731452859,
-0.1385789295374975,
-0.08617894069587187,
-0.28740802012674366,
-0.08822964803715011,
0.7254042575408517,
1.3375641264513025,
0.01671843799319668,
-0.08463636491616616,
0.915457467342591,
0.38795701749403194,
0.296793905051336... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -67.5,
"target_ratio": 0.97,
"target_value": -65.475
} | 16 |
ae38f088eb7d13f4a1aaeed7b82ca76a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5... | {"states": [126, 1], "expectation_value": -0.9359207462662136, "params": [[0.07400000000000001], [-0.06760000000000001]], "bitstrings": ["0000001", "1111110"], "total_optimization_steps": 10, "probabilities": [0.01179498456050278, 0.012995194211309858], "optimization_time": 2.23109769821167} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(3)) + -1.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(4)) + -1.25 * (Z(1) @ Z(2)) + -1.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.25 * (Z(6) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-16.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.006377179496119643) q[0];
rz(-0.061727897011168764) q[0];
rx(0.07989972346595989) q[1];
rz(0.6688407505745477) q[1];
rx(-0.16796998349578554) q[2];
rz(-0.07201860300141405) q[2];
rx(-0.1915935582937144) q[3];
rz(-0.5729443126343039) q[3];
rx(-0.007459390818392585)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIIZ",
"IZIZIII",
"IZZIIII",
"IIIIZZI",
"IIIZIZI",
"IIZIIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII"
] | [
-0.25,
-0.5,
-0.5,
-0.75,
-1,
-1.25,
-1.75,
-0.5,
-0.5,
-1.75,
-1.25,
-1.75,
-0.5,
-0.25,
2.5,
-0.75,
1.25,
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
1.5
] | 0.974333 | [
-0.006377179496119642,
0.1957621554646426,
0.07989972346595989,
0.4359881860868983,
-0.1679699834957855,
-0.38497263604562815,
-0.19159355829371438,
-0.39383051225245713,
-0.007459390818392586,
0.49935880698787366,
0.050047209993752936,
0.22941381389651128,
0.9696121434380058,
0.0608901470... | {
"n_parameters": 55,
"n_qubits": 7,
"optimal_eigenvalue": -16.75,
"target_ratio": 0.97,
"target_value": -16.2475
} | 5 |
a1d30927e8d1c8c726712f7d85b25667 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 3, "target": 7}, {"capacity": 1, "source": 4, ... | {"states": [127, 95], "expectation_value": -7.602146008888258, "params": null, "bitstrings": ["10000000", "10100000"], "total_optimization_steps": 58, "probabilities": [0.2143241896166521, 0.21435663823199338], "optimization_time": 60.19374632835388} | -1.0 * (Z(0) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -1.0 * (Z(7) @ Z(3)) + 1.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(6)) + -0.25 * (Z(2) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * Z(3) + -0.25 * Z(0) + 1.5 * Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -6.75, "smallest_bitstrings": ["10000000", "10110000", "10100000", "10010000", "10111000"], "largest_eigenvalue": 13.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7388502636479408) q[0];
h q[1];
ry(0.8364853737259059) q[1];
h q[2];
h q[3];
h q[4];
ry(0.787806496993027) q[4];
h q[5];
ry(1.5530979908529392) q[5];
h q[6];
ry(1.5530979908529392) q[6];
cx q[6], q[1];
ry(-0.8364853737259059) q[1];
cx q[6], q[1];
h q[7];
c... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIZIIZ",
"IZIIIIZI",
"ZIIIZIII",
"ZIIIIIIZ",
"ZZIIIIII",
"IIIZZIII",
"IZIZIIII",
"IIIZIZII",
"IIZIZIII",
"IZZIIIII",
"IIZIIIZI",
"ZIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIZIIII",
"IIIIIZII",
"IIZIIIII"
] | [
-1,
-1.75,
-1,
1.25,
-0.75,
-0.25,
-0.75,
-0.25,
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
1.5,
-1.5,
-1,
-0.25,
-0.25,
2.25
] | 0.972173 | [
1.5530979908529392,
1.6729707474518118,
-1.4777005272958816,
1.0428584261011464,
-0.5387470518195514,
1.575612993986054,
0.2895910452877033,
-0.14095535837536688,
0.12654572147272122,
0.0819225196994189,
0.10364277040264942,
0.26808859046062694,
-0.06220001776916481,
-0.12253649147198077,
... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 1 |
-7766961286763522825 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 6], [0, 1, 2, 3, 4, 7], [3, 6], [1, 5], [6, 7], [3, 5, 7]]} | {"states": [181, 241], "expectation_value": -2.1453680615248922, "params": null, "bitstrings": ["01001010", "00001110"], "total_optimization_steps": 54, "probabilities": [0.0686728357242892, 0.8055856935379914], "optimization_time": 95.12977623939514} | 0.19999999999999998 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.03333333333333333 * (Z(1) @ Z(2)) + 0.03333333333333333 * (Z(1) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(2)) + 0.03333333333333333 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.03333333333333333 * (Z(3) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["00001110"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.2412832822802878) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(0.03435956376481592) q[6];
cx q[2], q[6];
cx q[0], q[6];
cx q[2], q[1];
rz(0.019321902419551618) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.0342) 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[... | [
"IIIIIZIZ",
"IZIIIZII",
"IZIIIIIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZZII",
"IIIIZIIZ",
"IZIIZIII",
"IIIIZIZI",
"IIIZIZII",
"IIIZIIIZ",
"IIIZIIZI",
"IIIZZIII",
"ZIIIIZII",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"IIZIIIZI",
"IIZIZIII",
"ZIZIIIII",
"IIIIIZI... | [
0.19999999999999998,
0.16666666666666666,
0.16666666666666666,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.5,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333... | 0.529365 | [
-0.2412832822802878,
0.03435956376481592,
0.019321902419551618,
1.0863603857245507,
0.7024276513297428,
0.13132068401738795,
-0.8460215474658157
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -2.333333333333333,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 174 |
ad5e16c647b3e8afeeb51cea63283747 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [80, 88], "expectation_value": -3.47662293227021, "params": [[[0.078, 0.0076], [-0.014700000000000001, 0.0024000000000000002], [0.609, -0.09090000000000001], [0.5978, -0.0981], [-0.026500000000000003, -0.011600000000000001], [0.5961000000000001, 0.5945], [0.5828, 0.5968]], [[0.5752, -0.0012000000000000001], ... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -2.0 * Z(4) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(1) + -0.5 * Z(2) + -1.0 * Z(6) + -0.5 * Z(3) | 15 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["0010111", "1100101", "0100111", "0101110", "1101100"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.5498208309717705) q[0];
rz(-pi) q[1];
ry(-0.027905039045476778) q[1];
h q[2];
ry(1.4286739804212187) q[2];
h q[3];
h q[4];
ry(-1.5712458828569957) q[4];
h q[5];
cx q[5], q[0];
ry(0.5498208309717705) q[0];
cx q[5], q[0];
ry(-0.6191263193766597) q[0];
ry(1.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} | [
"IIZIIIZ",
"IZZIIII",
"IZIIIIZ",
"IZIIIZI",
"IIZIZII",
"IIIIZZI",
"ZIZIIII",
"ZIIIIZI",
"IIZZIII",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1,
-1,
-0.5,
-1,
-0.5
] | 0.994261 | [
-1.5712458828569957,
-1.4972505690550146,
1.4286739804212187,
-1.0053995826514508,
-1.099641661943541,
0.690142419476929,
-0.4471038081227416,
0.6668894682407048,
-0.3440450225078362,
0.09470115397418863,
0.33432841627262677,
-0.28297716612437795,
-0.16457309048695368,
0.2152753034606018,
... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
d576b64149ed4af7fd9893f4ff01f3b9 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, ... | {"states": [65, 1], "expectation_value": -9.249999999968587, "params": null, "bitstrings": ["10111110", "11111110"], "total_optimization_steps": 24, "probabilities": [0.4999999999968046, 0.4999999999968046], "optimization_time": 18.612651586532593} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(3)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + -0.25 * Z(4) + 1.5 * Z(7) + -1.0 * Z(5) + ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["10111110", "11111110"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.06203454328157315) q[0];
rz(1.7887330621738506) q[0];
rx(0.22753164172954793) q[1];
rz(1.5181402961268304) q[1];
rx(-0.16557256063745113) q[2];
rz(1.758778103001907) q[2];
rx(0.0833675557820221) q[3];
rz(1.780349234902019) q[3];
rx(-0.11709564333793254) q[4];
rz(1.... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"ZIIIIIIZ",
"IIZIZIII",
"IIZIIIZI",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIIIZI",
"IZIIIIII"
] | [
-0.25,
-0.75,
-0.25,
-0.75,
1.5,
-0.5,
-0.5,
-0.75,
-0.25,
-0.75,
0,
-0.25,
0.25,
-0.25,
1.5,
-1,
0.5,
-0.75
] | 0.971621 | [
0.06203454328157315,
0.21793673537895467,
0.22753164172954798,
-0.05265603066806612,
-0.16557256063745113,
0.18798177620701023,
0.0833675557820221,
0.20955290810712235,
-0.11709564333793253,
0.3585331632266594,
-0.14002182277844039,
0.5406853858436055,
-0.026565483873495943,
0.331897582781... | {
"n_parameters": 86,
"n_qubits": 8,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 8 |
a6f2ec57af099b3bb5cc46b59481f5f7 | 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": 2, "target": 3}, {"source": 4, "target": 6}, {"source": 4, "target": 8}, {"source": 5, "target": 8}, {"sour... | {"states": [255, 127], "expectation_value": -16.002345611412792, "params": [[[1.5772000000000002, 0.0029000000000000002], [0.0025, 0.007500000000000001], [-0.0039000000000000003, 0.001], [0.0022, 0.0035], [0.0023, 0.00030000000000000003], [-0.0026000000000000003, 0.0032], [0.0024000000000000002, 0.0014], [3.1619, 0.009... | -1.0 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(5)) + -2.5 * (Z(7) @ Z(5)) + -2.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(7)) + -2.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(3)) + -2.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(5) + 0.5 * Z(3) + 0.5 * Z(7) + 0.5 * ... | 2 | 8 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.1632874795536836) q[0];
cx q[1], q[0];
rz(-0.40236975800762487) q[0];
rx(2.086277834688468) q[0];
rz(-0.40236975800762487) q[1];
rx(2.086277834688468) q[1];
rz(-3.1589572779822106e-07) q[2];
ry(0.5154815078935998) q[2];
rz(-1.5707959... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IIIIIZZI",
"IIZIZIII",
"ZIZIIIII",
"ZIIIZIII",
"IIZZIIII",
"IIIZZIII",
"ZIIZIIII",
"IZZIIIII",
"IZIIZIII",
"ZZIIIIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIZI",
"IIZIIIII",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII",
"IZIIIIII",
"IIIIIIIZ"
] | [
-1,
-2,
-2.5,
-2.5,
0.5,
0.5,
-2.5,
-2,
1,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.562206 | [
-1.1632874795536836,
-0.6387802970470341,
-0.4240326588684522,
-0.6899810266036026,
-0.40236975800762476,
1.5707961478154864,
2.086277834688468
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 211 |
28b6a4ab313db94d987523ad340731c4 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}, {"sour... | {"states": [224, 252], "expectation_value": -9.880093158235468, "params": null, "bitstrings": ["00011111", "00000011"], "total_optimization_steps": 68, "probabilities": [0.12364609153887551, 0.6288799747779308], "optimization_time": 60.368122577667236} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + -1.0 * Z(7) + -1.0 * Z(6) | 5 | 8 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["00000011"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.04678361833354944) q[0];
ry(0.1303742858616621) q[1];
ry(-0.070102964820749) q[2];
ry(0.03720863259038924) q[3];
ry(-0.02138356740879499) q[4];
ry(-0.06454810341651192) q[5];
ry(-0.8046763186343778) q[6];
ry(-0.00902455603533383) q[7];
cx q[7], q[0];
cx q[6], q[7];... | null | {"node": 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];\ncry(1.5681) q[4], 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] = mea... | [
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.970924 | [
0.04678361833354944,
0.1303742858616621,
-0.070102964820749,
0.03720863259038924,
-0.02138356740879499,
-0.06454810341651192,
-0.8046763186343778,
-0.00902455603533383,
3.1436983278875337,
-0.013390725933836297,
0.0030200819168633916,
0.018203360912784752,
-0.056319063792172594,
-0.0170838... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 138 |
53d33cb4ccb5557b4d8aeafa4d7797ea | 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": 6, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -37.99794044522934, "params": [-0.0037, 0.1963, -0.0022, 0.21100000000000002, -0.0063, 0.1839, 0.00030000000000000003, 0.2371, 0.2998, 0.0029000000000000002, 0.30560000000000004, 0.0022, -0.0001, 0.19870000000000002, -0.0092, 0.2371, -0.0001, 0.24580000000000002, -0.0057, 0.230... | -1.5 * (Z(0) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -1.25 * (Z(4) @ Z(0)) + -1.0 * (Z(8) @ Z(3)) + -1.75 * (Z(8) @ Z(0)) + -1.0 * (Z(1) @ Z(4)) + -1.0 * (Z(6) @ Z(4)) + -2.25 * (Z(6) @ Z(8)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + -1.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(6)) + -0.75 * (Z(9) @ ... | 6 | 11 | 3 | {"smallest_eigenvalues": [-38.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.75, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 33.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.009065642242346919) q[0];
rz(-0.08524904693502666) q[0];
rx(0.08519725339973541) q[1];
rz(-0.7677848858192164) q[1];
rx(1.015813470882517) q[2];
rz(0.3293822425249786) q[2];
rx(-0.012799617417805333) q[3];
rz(-0.5131955128529846) q[3];
rx(-0.012799617417805336) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIIIIZZIII",
"IIIIIIZIIIZ",
"IIZIIIIZIII",
"IIZIIIIIIIZ",
"IIIIIIZIIZI",
"IIIIZIZIIII",
"IIZIZIIIIII",
"IIIIZIIIIZI",
"IIIZIIZIIII",
"IIZZIIIIIII",
"IIIZIIIIIZI",
"IIIZZIIIIII",
"IZIIIIIZIII",
"IZIIIIZIIII",
"IZIIIIIIIZI",
"IZIIZIIIIII",
"IZIZIIIIIII",
"IIIIIIIZZ... | [
-1.5,
-2,
-1.25,
-1,
-1.75,
-1,
-1,
-2.25,
-0.75,
-0.5,
-1,
-1.5,
-0.25,
-0.75,
-1,
-0.75,
-1.5,
-2.25,
-1.5,
4.75,
-1.25,
-0.5,
-0.75,
-1,
-0.75,
-3,
-1,
-1.5,
-1,
-0.75,
-0.75,
-1.75,
-2,
-1,
-0.25,
-0.75,
-1.5,
-0.25,
2.25,
-3.75,
1.... | 0.97447 | [
0.00906564224234692,
-0.16453551600433342,
0.0851972533997354,
-0.737273211790258,
1.015813470882517,
0.07915997429045854,
-0.012799617417805336,
-0.4830713891950154,
-0.4161369157962344,
-0.004294995431733905,
-0.6720583475284372,
-0.63811873923974,
0.047786664444622956,
-0.46570347022328... | {
"n_parameters": 40,
"n_qubits": 11,
"optimal_eigenvalue": -38.75,
"target_ratio": 0.97,
"target_value": -37.5875
} | 1 |
d39b9b7636e879ee1b77d25b4b82c559 | 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": [461, 205], "expectation_value": -97.01247294662952, "params": [[[1.0914000000000001, 0.09620000000000001], [0.0664, 0.09290000000000001], [-0.0058000000000000005, 0.4475], [0.3704, 0.8933000000000001], [1.105, 0.6486000000000001], [1.1047, 0.3327], [0.0574, 0.4652], [-0.31720000000000004, 0.88], [0.1278, 1.... | 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(3) @ Z(5)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(7) @ Z(4)) + 7.5 * (Z(8) @ Z(5)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(10) @ Z(5)) + 7.5 * (Z(10) @ Z(8)) + 7.5 * (Z(11) @ Z(10)) + 7.5 * (Z(2) @ Z(11)) + 7.5 * (Z(9) @ Z(10)) + 7.5 * (Z(9) @ Z(11)) + 7.5 * (Z(6) @ Z(9)) + 21.5 * Z(5) + 15.0 * Z(4) +... | 15 | 12 | 2 | {"smallest_eigenvalues": [-144.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -124.0, "smallest_bitstrings": ["111100110010"], "largest_eigenvalue": 223.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.4721705806162133) q[0];
ry(0.26670710491272825) q[1];
ry(0.6143109698893262) q[2];
ry(-0.47559504558055443) q[3];
ry(1.5670060897938471) q[4];
ry(1.4846494578638065) q[5];
ry(-0.0960415140385861) q[6];
ry(-0.23694129316910645) q[7];
ry(0.09903636649154157) q[8];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIIIZZIII",
"IIIIZIIZIIII",
"IIIZIIZIIIII",
"IIIZZIIIIIII",
"IZIIIIZIIIII",
"IZIZIIIIIIII",
"ZZIIIIIIIIII",
"ZIIIIIIIIZII",
"IZZIIIIIIIII",
"ZIZIIIIIIIII",
"IIZIIZIIIIII",
"IIIIIIZIIIII",
"IIIIIIIZIIII",
"IIIIIIIIZIII",
"IIIIZIIIIIII",
"IIIZIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
21.5,
15,
5,
3,
17,
18.5,
15,
-6.5,
17,
-3,
-10.5,
-12.5
] | 0.973461 | [
1.4721705806162133,
0.26670710491272825,
0.6143109698893262,
-0.47559504558055443,
1.5670060897938471,
1.4846494578638065,
-0.0960415140385861,
-0.23694129316910645,
0.09903636649154157,
-0.0567602886680327,
0.04292245655478478,
-0.9385234208033283,
-0.008928245328151424,
-0.01936652462095... | {
"n_parameters": 48,
"n_qubits": 12,
"optimal_eigenvalue": -144,
"target_ratio": 0.97,
"target_value": -139.68
} | 48 |
4a91a077ff2f7d491515cae96edb7c37 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [222, 118], "expectation_value": -65.55359675101641, "params": [[[0.0027, -0.0027], [-1.5673000000000001, 1.5738], [-1.5063, 1.5724], [1.5685, 1.5732000000000002], [-0.6447, 1.5684], [1.5689000000000002, 1.5688], [0.1532, 1.5728], [0.0689, -0.024200000000000003], [-0.0023, 0.23600000000000002]]], "bitstrings... | 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(0) @ Z(3)) + 7.0 * (Z(4) @ Z(1)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(5) @ Z(2)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(6) @ Z(3)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(7) @ Z(8)) + 1.0 * Z(1) + 9.5 * Z(2) + 20.5 * Z(3) + -5.5 * Z(0) + 22... | 15 | 9 | 1 | {"smallest_eigenvalues": [-101.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -97.5, "smallest_bitstrings": ["110001001"], "largest_eigenvalue": 171.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-1.57079632180251) q[1];
ry(-1.7102510994461901) q[2];
ry(1.5707963286290645) q[3];
ry(-1.570796342096889) q[4];
ry(1.5707963341819555) q[5];
ry(4.1692054759483136e-08) q[6];
ry(3.280364179157708e-08) q[7];
ry(6.095229224616324e-09) q[8];
cx q[8], q[0];
cx q[7], q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
1,
9.5,
20.5,
-5.5,
22.5,
14.5,
22,
4,
-1
] | 0.674877 | [
-9.752364501632384e-10,
-1.57079632180251,
-1.7102510994461901,
1.5707963286290645,
-1.570796342096889,
1.5707963341819555,
4.1692054759483136e-8,
3.280364179157708e-8,
6.095229224616324e-9,
1.062028658079858e-9,
1.570796329563894,
1.5707963204262094,
1.5707963221944403,
1.5707963370546465... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -101.5,
"target_ratio": 0.97,
"target_value": -98.455
} | 386 |
0a88b29c6d69b583bcda2e7f0e1608b8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 3, "s... | {"states": [0, 1], "expectation_value": -14.254064662624561, "params": [-0.00030000000000000003, -0.1255, -0.0021000000000000003, -0.0978, -0.0024000000000000002, -0.22, -0.0047, -0.2194, -0.004200000000000001, -0.21450000000000002, -0.0034000000000000002, -0.2101, -0.004, -0.2152, -0.0021000000000000003, -0.2148000000... | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + -1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -0.75 * (Z(7) @ Z(1)) + -1.5 * (Z(7) @ Z(3)) + -1.25 * (Z(8) @ Z(1)) + 3.0 * (Z(8) @ Z(0)) + -1.25 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(... | 5 | 9 | 3 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.03062873105647399) q[0];
rz(-0.21773373903454996) q[0];
rx(-0.00988025896180452) q[1];
rz(-0.03967639065443507) q[1];
rx(0.20785578655635797) q[2];
rz(-0.02080315560861834) q[2];
rx(0.20785578655635795) q[3];
rz(-0.12841037713873726) q[3];
rx(0.19020924560611377) ... | 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": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIIIZZI",
"IIIIZIZII",
"IZIIIIIZI",
"IZIIIZIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"IIZIIIIZI",
"IIZIIZIII",
"IIZIZIIII",
"IIZIIIZII",
"ZIZIIIIII",
"IIIZIIZII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IIIIIIZII",
"... | [
-0.25,
-1.25,
-1.25,
-0.75,
-1.25,
-0.75,
-1.5,
-1.25,
3,
-1.25,
-1.75,
-0.25,
-0.25,
-0.25,
-0.25,
-1.25,
1.25,
-0.25,
1,
-0.25,
-2,
-2.25,
1.5,
2,
-1
] | 0.982116 | [
-0.03062873105647399,
-0.12690437102245075,
-0.00988025896180452,
-0.03548707517917464,
0.20785578655635795,
-0.0384240620886955,
-0.12827002909885188,
0.19020924560611374,
-0.3758318210372185,
-0.22425702392421312,
-0.3043213260486306,
-0.07787069850147006,
-0.3181508068484042,
-0.2291533... | {
"n_parameters": 145,
"n_qubits": 9,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 14 |
8ae64e05573d8ac113ed24515eacab5d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [111, 107], "expectation_value": -72.2587617319819, "params": [0.5008, 0.2861, 0.0925, -0.4867, 0.0038, 0.5282, 0.5219, 0.38730000000000003, 1.0989, 0.1696, 1.1109, 0.0007, 0.0034000000000000002, 0.7549, 1.103, 0.008, 0.7504000000000001, 0.33640000000000003, 1.102, 0.1519, 1.1098000000000001, -0.002900000000... | 8.0 * (Z(0) @ Z(4)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(1) @ Z(5)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(9) @ Z(4)) + 8.0 * (Z(9) @ Z(0)) + 8.0 * (Z(8) @ Z(9)) + 8.0 * (Z(7) @ Z(3)) + 8.0 * (Z(7) @ Z(9)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(2) @ Z(10)) + 16.5 * Z(4) + 0.5 * Z(0) + 0.5 * Z(3) + 10.0 * Z(5) + -3.0 * Z(1) + -7.5 * Z(... | 16 | 11 | 2 | {"smallest_eigenvalues": [-130.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -125.0, "smallest_bitstrings": ["11110010100"], "largest_eigenvalue": 156.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.34366391903091237) q[0];
rz(0.22319243799544353) q[0];
rx(0.15046041735971533) q[1];
rz(-0.31451701435829543) q[1];
cx q[1], q[0];
rz(-0.06809778358392932) q[0];
cx q[1], q[0];
rx(-0.39002283334695925) q[0];
rz(-0.12049030856480414) q[0];
rz(-0.4658539560322483) 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": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IIIIIZIIIZI",
"IIIIZZIIIII",
"IZIIIIZIIII",
"IZIIIIIIIIZ",
"IZZIIIIIIII",
"IIIZIIIZIII",
"IZIZIIIIIII",
"IIZZIIIIIII",
"ZIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIIIIIIZI",
"IIIIZIIIIII",
"IZIIIIIIIII",
"IIZIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
16.5,
0.5,
0.5,
10,
-3,
-7.5,
23.5,
4,
16,
-2,
-4.5
] | 0.97267 | [
0.3436639190309124,
0.15509465441151427,
0.15046041735971533,
-0.31451701435829543,
-0.12284191092647795,
0.8759361903548633,
0.18997771482709175,
0.9626967771588768,
1.7872613372692359,
0.044245422952330124,
1.9695154186032848,
0.07234776760318692,
-0.17863486511556295,
0.9813398731102457... | {
"n_parameters": 58,
"n_qubits": 11,
"optimal_eigenvalue": -130,
"target_ratio": 0.97,
"target_value": -126.1
} | 18 |
6ce86fd90cfcfc8619e1d79aa454f77b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [0, 1], "expectation_value": -8.36062036111584, "params": [0.0032, 0.49470000000000003, 0.0033, 0.2773, 0.0027, 0.5963, 0.0029000000000000002, 0.6003000000000001, 0.0023, 0.43520000000000003, 0.0024000000000000002, 0.5983, -0.0016, 0.014400000000000001, 0.0024000000000000002, 0.5942000000000001, 0.8032, 0.00... | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @... | 4 | 9 | 2 | {"smallest_eigenvalues": [-11.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 7.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.042183601213293724) q[0];
rz(-0.2379157173013633) q[0];
rx(0.041866752753559604) q[1];
rz(-0.16714895785697248) q[1];
rx(-0.2918772183227563) q[2];
rz(0.015045320069528856) q[2];
rx(-0.023938965135507136) q[3];
rz(-0.1333700161811624) q[3];
rx(0.11242703318236696) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIZIIIIIZ",
"IIZIIIZII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZZIIIIII",
"IIIIZIIZI",
"IIIIZIZII",
"IIZIZIIII",
"IZIIZIIII",
"IIIIIZZII",
"IZIIIZIII",
"IIIIZZIII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIIZIIIZI",
"IZIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"... | [
-0.5,
-1,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
1.75,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
0.5,
0.25,
-0.25,
-1,
-0.25,
1.5,
-0.25
] | 0.970831 | [
0.04218360121329372,
-0.28452661302214677,
0.04186675275355961,
-0.15223136005094104,
-0.29187721832275637,
0.048940938675368625,
-0.023938965135507133,
-0.19014708149658313,
0.11242703318236696,
-0.1095468946398436,
-0.07412001935728986,
-0.062316060849386276,
-0.010396061229373844,
-0.01... | {
"n_parameters": 150,
"n_qubits": 9,
"optimal_eigenvalue": -11.25,
"target_ratio": 0.97,
"target_value": -10.9125
} | 6 |
5894766706626609507 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2], [1, 6], [2, 4], [1, 4], [3, 5], [2, 6], [0, 1], [3, 6], [2, 3], [5, 6]]} | {"states": [50, 77], "expectation_value": -0.09644426441437035, "params": [[-0.0712], [0.0692]], "bitstrings": ["1001101", "0110010"], "total_optimization_steps": 10, "probabilities": [0.009077092286475592, 0.009077092286475592], "optimization_time": 0.541579008102417} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0110010", "1001101"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.855861048967445) q[0];
h q[1];
ry(0.7602681272289036) q[1];
h q[2];
h q[3];
ry(-0.6725119270481371) q[3];
h q[4];
ry(-0.12808173188290406) q[4];
cx q[2], q[4];
ry(0.12808173188290406) q[4];
cx q[2], q[4];
ry(-0.6375138676339951) q[4];
ry(1.4989658893670177... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[2], q[6];
rz(x0) q[6];
cx q[2], q[6];
cx q[1], q[6];
... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIIIZZ",
"ZIIIZII",
"ZIIIIZI",
"IIZIZII",
"IIZIIZI",
"IIIZZII",
"ZIIZIII",
"ZZIIIII",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"ZIIIIII",
"IIZIIII",
"IIIZIII",
"IZIIIII"
] | [
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
] | 0.973492 | [
-0.2561634637658081,
1.4989658893670177,
1.5205362544578072,
-1.71172209793489,
-1.2750277352679902,
-0.4620875869517217,
1.3790816867565614,
-1.3450238540962742,
0.13846756493603873,
-0.6134028002459425,
0.22772716434485296,
0.061678611666288005,
-0.48363266749345846,
0.5271731450375907,
... | {
"n_parameters": 43,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 13 |
aa7d7207794ebe4415ef692308a5e5fc | 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": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 0, "target": 8}, {"capacity": 2, "source": 0, "target":... | {"states": [0, 1021], "expectation_value": -26.432385010357493, "params": [[[0.0143, 0.0434], [0.0499, -0.40090000000000003], [0.0021000000000000003, -0.0182], [0.0029000000000000002, 0.0029000000000000002], [0.0025, 0.0021000000000000003], [0.0027, 0.0024000000000000002], [0.003, 0.0026000000000000003], [0.00340000000... | -0.75 * (Z(0) @ Z(8)) + -1.0 * (Z(9) @ Z(0)) + -0.5 * (Z(10) @ Z(0)) + -1.5 * (Z(2) @ Z(8)) + 2.5 * (Z(2) @ Z(0)) + -0.25 * (Z(2) @ Z(10)) + -1.5 * (Z(1) @ Z(8)) + -1.0 * (Z(1) @ Z(10)) + -0.5 * (Z(1) @ Z(2)) + -1.0 * (Z(3) @ Z(8)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z... | 15 | 11 | 4 | {"smallest_eigenvalues": [-28.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.25, "smallest_bitstrings": ["10000000010"], "largest_eigenvalue": 26.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.5627477816923672) q[0];
ry(-0.6032916968026625) q[1];
ry(0.004243511993262589) q[2];
ry(-0.02615736718515206) q[3];
ry(-0.014595675420798706) q[4];
ry(0.06772359271653239) q[5];
ry(0.0327989780980917) q[6];
ry(-0.04104251659255069) q[7];
ry(-0.05891242879637312) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIZ",
"IZIIIIIIIIZ",
"ZIIIIIIIIIZ",
"IIZIIIIIZII",
"IIIIIIIIZIZ",
"ZIIIIIIIZII",
"IIZIIIIIIZI",
"ZIIIIIIIIZI",
"IIIIIIIIZZI",
"IIZIIIIZIII",
"IIIIIIIZIZI",
"IZIIIIZIIII",
"IIIIIIZIZII",
"IIIIIIZIIZI",
"IIZIIZIIIII",
"IIIIIZIIIZI",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIZIZIIII... | [
-0.75,
-1,
-0.5,
-1.5,
2.5,
-0.25,
-1.5,
-1,
-0.5,
-1,
-0.75,
-1,
-0.5,
-1.5,
-1.25,
-1,
-1,
-1.5,
-2,
-0.25,
-0.75,
-1.5,
-1,
-1.5,
-1.25,
-0.75,
-0.75,
-0.5,
0.5,
-0.25,
-2.75,
1.5,
-1.5,
3.25,
-0.75,
3.25,
-1.5,
-0.5,
-1.25
] | 0.973182 | [
-0.5627477816923672,
-0.6032916968026625,
0.004243511993262589,
-0.02615736718515206,
-0.014595675420798706,
0.06772359271653239,
0.0327989780980917,
-0.04104251659255069,
-0.05891242879637312,
0.20114534225588804,
-0.07107568270280551,
2.5119309858335215,
0.14439532816359668,
0.0419014674... | {
"n_parameters": 27,
"n_qubits": 11,
"optimal_eigenvalue": -28.25,
"target_ratio": 0.97,
"target_value": -27.4025
} | 32 |
95afacefd1d05ffe5f924c1452decfea | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 4}, {"weight": 2, "source": 2, "target": 3}, {"weight": 18, "sourc... | {"states": [13, 77], "expectation_value": -23.58747933015404, "params": [0.0024000000000000002, 0.006900000000000001, 0.9636, 0.001, 1.6007, 0.0032, 0.9939, 0.0026000000000000003, 0.0071, 0.01, 1.6056000000000001, 0.0094, 1.6025, 0.0011, 0.7663000000000001, 0.003, 1.605, 0.0066, 0.0046, 0.0094, 0.0088, 0.007, 0.0049, 0... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(7)) + -6.5 * Z(1) + -10.0 * Z(0) + -4.0 * Z(3) + -1.0 * Z(2) + -7.0 * Z(4) + 1.5 * Z(5) + -2.0 * Z(6) + -4... | 3 | 9 | 1 | {"smallest_eigenvalues": [-54.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -52.0, "smallest_bitstrings": ["110110010"], "largest_eigenvalue": 89.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-1.1071927583950916) q[0];
ry(0.2978927012324312) q[0];
rz(1.4833522287571599) q[0];
rz(1.1847242383780223) q[1];
ry(0.19637233352893171) q[1];
rz(-1.6822137271814925) q[1];
rz(-1.5187454453068812) q[2];
ry(2.988141635304801) q[2];
rz(1.9284100231410068) q[2];
rz(1.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZIIZIII",
"IIZZIIIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
-6.5,
-10,
-4,
-1,
-7,
1.5,
-2,
-4,
-6
] | 0.972825 | [
0.07111796810185884,
0.2610986777410562,
-0.055769283360670927,
-0.12162554549588783,
1.2946822255352914,
-0.004553830919869384,
0.13878748844374772,
-0.022032720239005044,
-0.0686994376961513,
-0.37749702987901007,
0.9293095066415804,
-0.02558985522536228,
1.0971778559638004,
0.0659733199... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -54,
"target_ratio": 0.97,
"target_value": -52.379999999999995
} | 17 |
5bfd79024282ae69c62758a244a2de56 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [22, 7], "expectation_value": -6.469703483465283, "params": [0.084, 0.3173, -0.0364, 0.2964, 0.4797, 0.2877, 0.255, 0.31520000000000004, 0.4122, 0.3393, 0.2131, 0.3609, 0.508, 0.0949, 0.6559, 0.2147, 0.5031, 0.09190000000000001, 0.6524, 0.2086, 0.49720000000000003, 0.1302, 0.4234, 0.13240000000000002, -0.027... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 1.75 * (Z(5) @ Z(3)) + 1.75 * ... | 5 | 6 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(3.040705587759774) q[0];
ry(3.0322761206209288) q[0];
rz(0.23746657912877067) q[0];
rz(-0.5485384081350269) q[1];
ry(0.03463465039766057) q[1];
rz(1.8086014627808424) q[1];
rz(2.1740019225107847) q[2];
ry(2.742027400286282) q[2];
rz(-0.45482682963069987) q[2];
rz(0.8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
2,
2,
2,
2,
2,
2,
2,
1.75,
2,
1.75,
1.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
-0.75
] | 0.974004 | [
1.0529037450256176,
0.06477150500217821,
0.0632023087334098,
0.46017332254292537,
1.2192432119969236,
0.14088225722938502,
1.1314918741657554,
-0.05745195682464036,
-0.04240668812804869,
-0.5477397576739919,
-0.046155027306700576,
-0.6332603826055265,
1.1415462481792484,
-0.100403553526293... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 15 |
c5aa289d2d34be7b0922b4fb4be4f7b1 | 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": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capac... | {"states": [65, 67], "expectation_value": -13.591217466056657, "params": [0.006200000000000001, 0.2732, 0.0038, 0.322, -0.0011, 0.3183, -0.0064, 0.3179, -0.001, 0.2406, 0.00030000000000000003, 0.309, 0.3649, 0.08220000000000001, 0.3673, 0.0222, -0.0007, 0.38330000000000003, -0.0014, 0.3841, -0.0023, 0.3481, 0.003100000... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(9) @ Z(1)) + 2.5 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(4)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(2... | 7 | 10 | 4 | {"smallest_eigenvalues": [-13.75, -13.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.75, "smallest_bitstrings": ["1110111100", "1111111100"], "largest_eigenvalue": 13.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.04357068336151266) q[0];
rz(1.354576549577759) q[0];
rx(-0.041333104611612) q[1];
rz(1.949807867580267) q[1];
rx(-0.07001454888747592) q[2];
rz(2.012914938453335) q[2];
rx(0.01285269504665166) q[3];
rz(1.5777715411221092) q[3];
rx(-0.21494103036090006) q[4];
rz(2.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIZIIIIIIZ",
"IIZIZIIIII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"IIIZIIIIZI",
"IIIZIIIZII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIIZIIZIII",
"IZIIIIIZII",
"IZIIZIIIII"... | [
-0.25,
-0.5,
-0.75,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
2.5,
-0.5,
-0.5,
-1,
-0.25,
-1,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
-1.5,
1,
0,
-0.5,
1.25,
-0.5,
0.25,
1.25
] | 0.971647 | [
0.04357068336151266,
-0.2162197772171379,
-0.04133310461161201,
0.37901154078537025,
-0.07001454888747592,
0.4421186116584369,
0.012852695046651659,
0.006975214327212265,
-0.21494103036090006,
0.8175322141794908,
0.6181953143161085,
-0.02117728429574288,
0.752068045942424,
0.09353559368384... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 7 |
3d599008e6d247101eb02503201a8a05 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 4, "so... | {"states": [3, 15], "expectation_value": -3.7234761311179265, "params": null, "bitstrings": ["11100", "10000"], "total_optimization_steps": 31, "probabilities": [0.07184116205466895, 0.8057247226415204], "optimization_time": 17.575026750564575} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(1) + -0.25 * Z(3) | 1 | 5 | 3 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["10000"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08055982018340721) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.08055982018340721) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(0.5225355503098899) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0805598201834072... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(1.57) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubi... | [
"IIZIZ",
"ZIZII",
"ZIIIZ",
"IIZZI",
"IZZII",
"ZZIII",
"IZIZI",
"IIZII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IZIII"
] | [
-0.25,
-0.25,
0.5,
-1.5,
-0.25,
-0.5,
-1,
0.75,
-0.25,
-0.25,
0,
-0.25
] | 0.869132 | [
0.08055982018340721,
-0.35470681563137524,
0.5225355503098899,
1.1234973761473965,
1.3097500534732263,
0.06301837355841679,
0.0172289539833638,
1.175101985651543,
-0.050600734974519,
-0.913335335482333,
1.0536620339595795,
1.7102271339985182,
2.127471121365935,
-0.06929635052414747,
1.03... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 500 |
bd93bde5e767772200a1d39b0575c595 | 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": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 8}, {"capac... | {"states": [0, 3], "expectation_value": -14.761266213463674, "params": [0.0017000000000000001, 0.0064, -0.0027, 0.007500000000000001, -0.0027, 0.0088, -0.0024000000000000002, 0.0095, -0.0025, 0.0031000000000000003, -0.0025, 0.0043, -0.0027, 0.0012000000000000001, -0.0019, 0.8071, 0.38870000000000005, 0.0009000000000000... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(8) @ Z(0)) + -1.0 * (Z(9) @ Z(1)) + 2.5 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(8)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(8)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @... | 4 | 10 | 1 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["1111111100"], "largest_eigenvalue": 21.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.2419970375047959) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.37716927580730863) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.2419970375047959) q[4];
cx q[0], q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[0], q[8];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IZIIIIIIIZ",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZZIIIIIIII",
"IIIIIIIZZI",
"IZIIIIIZII",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIIIIZZII",
"IIIIZIIIZI",
"IIIIZZIIII",
"IZIIZIIIII",
"IIIZIIIIZI",
"IIIZIZIIII",
"IZIZIIIIII",
"IIIZIIIZII",
"IIIZIIZIII"... | [
-0.75,
-0.5,
-0.75,
-0.75,
-1,
2.5,
-1,
-0.25,
-0.75,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-1.25,
-0.5,
-0.25,
-1,
-1.25,
-1,
-1.25,
-0.75,
1,
-0.25,
-0.75,
2.5,
0.5,
-2.25,
0,
-0.5,
-2,
1.75
] | 0.55704 | [
-0.2419970375047959,
-0.37716927580730863,
-0.3005785556250951,
0.9324663724651178,
-0.315124270408642,
-0.43379358106436927,
0.8206564010634575,
1.0769837310417962,
-0.9702227598837032,
-0.07955208603299788,
-0.7205326892209766,
0.1833086258132914,
-1.0061818138582002
] | {
"n_parameters": 13,
"n_qubits": 10,
"optimal_eigenvalue": -16.25,
"target_ratio": 0.97,
"target_value": -15.7625
} | 316 |
a38675d53d722227ef740a74a5426a27 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [58, 56], "expectation_value": -2.63780194296267, "params": [0.47850000000000004, -0.0723, 0.6086, -0.0039000000000000003, 0.5527000000000001, -0.021400000000000002, 0.5804, -0.0024000000000000002, -0.0205, 0.37620000000000003, 0.5143, 0.3302, 0.0028, 0.35810000000000003, 0.4766, -0.0726, 0.6048, -0.002, 0.5... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.0 * Z(6) + -1.5 * Z(4) + 0.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(5) | 3 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1010110", "1000111", "0001111", "1010101", "0011101"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.5141994421129809) q[0];
h q[1];
ry(1.390141942064535) q[1];
h q[2];
ry(-0.5141994421129809) q[2];
h q[3];
cx q[3], q[0];
ry(0.5141994421129809) q[0];
cx q[3], q[0];
ry(-0.6573848412878611) q[0];
ry(1.0688525533137359) q[3];
h q[4];
ry(-1.560193965859156) 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": []} | [
"IIIZIIZ",
"ZIIIIIZ",
"IIZZIII",
"IIZIIZI",
"ZIIIZII",
"IIZIZII",
"ZZIIIII",
"IZZIIII",
"IZIIZII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1,
-1.5,
0,
-1,
-1
] | 0.99545 | [
-1.560193965859156,
-1.6256424106349383,
1.390141942064535,
-1.0283988842259617,
0.8351950134156189,
-0.46570245239628766,
0.4673150797962339,
-0.3833647777831469,
0.17942834723555207,
0.2603514411697678,
-0.015966545811498617,
-0.09901389533504207,
0.1486764616653704,
-0.04676080723319257... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
95cd968028de95e9bd1f0d835e513284 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 5}, ... | {"states": [207, 206], "expectation_value": -1.2034534595043964, "params": [0.5925, 0.0046, 2.0109, 0.008, 2.004, 0.0033, 0.1637, 0.0046, 0.154, 0.0045000000000000005, 2.0106, 0.0045000000000000005, 1.9964000000000002, 0.0061, 1.7862, 0.0082, 1.4703000000000002, 0.0091, 0.0081, 0.005, 0.0059, 0.0073, 0.0085, 0.00060000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(8) @ Z(1)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(8)) + 0.125 * (Z(8... | 16 | 9 | 1 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.125, "smallest_bitstrings": ["100011010", "100011001", "001011010", "010110010", "101100100", "101011000", "010011010", "100110001",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.10468843332687085) q[0];
rz(0.17672023219230937) q[0];
rx(0.6623012323552471) q[1];
rz(-0.15956739999083158) q[1];
rx(0.028706933005168817) q[2];
rz(-0.6336621450124555) q[2];
rx(-0.45422356314339846) q[3];
rz(0.5476974900642233) q[3];
rx(0.3990766685472579) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIZZIII",
"IIIZIZIII",
"IIZIZIIII",
"IZIIIIIIZ",
"IIIZIIIZI",
"IIZIIIIZI",
"ZIIIIIIZI",
"IIZZIIIII",
"ZIIZIIIII",
"ZIZIIIIII",
"IIZZIIIZI",
"ZIIZIIIZI",
"ZIZIIIIZI",
"ZIZZIIIII",
"ZIZZIIIZI",
"IZIIIIZII",
"ZIIIIIZII",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
-0.25,
0.125,
0,
-0.5,
-0.5,
-0.125,
-0.125,
-0.25,
0.125
] | 0.972173 | [
-0.10468843332687085,
0.29840746196258483,
0.662301232355247,
0.033203472962293944,
0.028706933005168814,
-0.5015033513355869,
-0.4542235631433985,
0.6221015474734747,
0.399076668547258,
0.23293563657159388,
0.29431187405811615,
-0.24058685261158946,
0.3612418143901153,
0.06365176819014363... | {
"n_parameters": 176,
"n_qubits": 9,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 128 |
3320932589923452721 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [3, 5], [1, 6], [1, 5], [1, 7], [3, 6], [0, 4], [0, 6], [5, 6], [2, 6], [1, 2], [3, 7], [4, 5]]} | {"states": [92, 90], "expectation_value": -3.651143141522507, "params": null, "bitstrings": ["10100011", "10100101"], "total_optimization_steps": 73, "probabilities": [0.04277332360532153, 0.693983911649625], "optimization_time": 101.96211791038513} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["01011010", "10100101"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.26682091506676353) q[0];
rz(1.4309365316191167) q[0];
rx(2.769144721440527) q[1];
rz(1.5887377994576273) q[1];
rx(-0.1373589195020712) q[2];
rz(1.5042748792213168) q[2];
rx(2.488063391905118) q[3];
rz(1.6889092661788156) q[3];
rx(1.6316248622682434) q[4];
rz(1.6889... | 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[5], 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] = me... | [
"IIIIZIIZ",
"IIZIZIII",
"IIZIIIZI",
"IZIIZIII",
"IZIIIIIZ",
"IZZIIIII",
"IZIIIIZI",
"ZIIIZIII",
"ZIIIIIZI",
"IIIZIIIZ",
"IIZZIIII",
"IIIIIZZI",
"IZIIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"IZIIIIII",
"ZIIIIIII",
"IIIZIIII",
"IIIIIZII"
] | [
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
] | 0.979257 | [
0.2668209150667635,
-0.13985979517577984,
2.769144721440527,
0.01794147266273057,
-0.1373589195020712,
-0.06652144757358085,
2.488063391905118,
0.11811293938391901,
1.6316248622682432,
0.11034217280892343,
0.29752453433573667,
1.689592615954757,
0.1127357156816269,
0.20624065973925879,
-... | {
"n_parameters": 37,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 95 |
1e41cb0e7eb07690a13da41b97e8bdd1 | 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": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target":... | {"states": [1024, 1023], "expectation_value": -24.504546179091538, "params": [[[-0.0029000000000000002, -0.0378], [0.0004, -0.0016], [0.0114, 0.0022], [0.0031000000000000003, 0.0022], [0.0036000000000000003, 0.002], [0.006200000000000001, 0.002], [0.0071, 0.0021000000000000003], [0.0009000000000000001, 0.0023], [0.0021... | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(0)) + -2.25 * (Z(7) @ Z(1)) + -1.25 * (Z(8) @ Z(1)) + -1.25 * (Z(8) @ Z(7)) + -1.0 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(7)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(8)) + -1.0 * (Z(4) @ Z(3)) + 0.75 * (Z(2) @ Z(0)) + -1.25 * (Z(2) @ Z(3)) + -1.5 * (Z(5) @... | 15 | 11 | 2 | {"smallest_eigenvalues": [-25.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.25, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 21.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.02366913040323454) q[0];
ry(-0.08228818249062991) q[1];
ry(0.09107776039401626) q[2];
ry(0.008995078064720094) q[3];
ry(0.094180976097956) q[4];
ry(0.006913795818277073) q[5];
ry(-0.15100870333334324) q[6];
ry(-0.1388242100855752) q[7];
ry(-0.024730394066960575) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIIIIZZ",
"IIIIZIIIIZI",
"IIIIZIIIIIZ",
"IIIZIIIIIZI",
"IIZIIIIIIZI",
"IIZZIIIIIII",
"IIIIZIIZIII",
"IIIZIIIZIII",
"IIIZIIZIIII",
"IIZIIIZIIII",
"IIIIIIZZIII",
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIZIZIIIII",
"IIZIIZIIIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IZIIZIIIIII",
"IZZIIIIII... | [
-0.25,
-1,
-0.25,
-2.25,
-1.25,
-1.25,
-1,
-1,
-0.25,
-0.5,
-1,
0.75,
-1.25,
-1.5,
-0.25,
-0.75,
-0.5,
-1.5,
-2,
-1,
-1,
-2,
-1.25,
-0.75,
-1.25,
-1.5,
-0.25,
-1.75,
0.25,
-0.25,
-1.5,
-1.5,
-1.5,
1.5,
5.75,
0.75
] | 0.970165 | [
-0.02366913040323454,
-0.08228818249062991,
0.09107776039401626,
0.008995078064720094,
0.094180976097956,
0.006913795818277073,
-0.15100870333334324,
-0.1388242100855752,
-0.024730394066960575,
0.14370375852514944,
1.8075934967978609,
-0.14566341099328,
0.08338987732823366,
-0.006867310824... | {
"n_parameters": 33,
"n_qubits": 11,
"optimal_eigenvalue": -25.25,
"target_ratio": 0.97,
"target_value": -24.4925
} | 31 |
4728753714720583878 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 11], [9, 10], [8, 7], [10, 7], [11, 4], [8, 5], [0, 9], [8, 3], [10, 6], [9, 5], [11, 7], [8, 9], [1, 11], [0, 2]]} | {"states": [2452, 821], "expectation_value": -1.6975131666375685, "params": [[[1.3995, 0.00030000000000000003], [-0.8956000000000001, 1.3958000000000002], [1.3907, 1.3955], [1.3920000000000001, -0.0785], [1.3935, 1.3961000000000001], [1.3966, -0.1005], [-1.0016, 1.4009], [0.1762, 0.9922000000000001], [1.4056, 1.4004], ... | 0.5 * (Z(8) @ Z(11)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(7) @ Z(11)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(10)) + 0.5 * (Z(4) @ Z(11)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(6) @ Z(10)) + 0.5 * (Z(1) @ Z(11)) + 0.5 * (Z(2) @ Z(0)) + 0.0 *... | 15 | 12 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -4.0, "smallest_bitstrings": ["011010111100", "001101110101", "011110110100", "001100110101", "011111110100", "100000001011", "110011001010", "100001001011", "110010001010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.5707962530590098) q[0];
ry(-1.5707963046605067) q[1];
ry(1.6792851633101737) q[2];
ry(1.570796351210286) q[3];
ry(2.0477692973694355) q[4];
ry(1.5303069669493183) q[5];
ry(-7.786078317566916e-08) q[6];
ry(2.1505155303188984e-07) q[7];
ry(3.1415925865131458) 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": []} | [
"ZIIZIIIIIIII",
"IIZZIIIIIIII",
"IZZIIIIIIIII",
"ZIIIZIIIIIII",
"IIIZZIIIIIII",
"IZIIZIIIIIII",
"ZIIIIIIZIIII",
"IIIZIIZIIIII",
"IIZIIIZIIIII",
"IIZIIIIIIIIZ",
"IIIZIIIIZIII",
"IZIIIZIIIIII",
"ZIIIIIIIIIZI",
"IIIIIIIIIZIZ",
"ZIIIIIIIIIII",
"IIIZIIIIIIII",
"IIZIIIIIIIII",
"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,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.8 | [
1.5707962530590098,
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1.6792851633101737,
1.570796351210286,
2.0477692973694355,
1.5303069669493183,
-7.786078317566916e-8,
2.1505155303188984e-7,
3.1415925865131458,
-2.2259199899154718e-8,
0.5309262275026304,
1.570796462051872,
-1.5383917979610837,
1.570796336807876,
... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 425 |
7494574309123452668 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2], [0, 1], [5, 7], [3, 6], [3, 5], [1, 5], [5, 6], [1, 4], [0, 4], [0, 2], [6, 7], [1, 7], [4, 6], [1, 6], [2, 6], [0, 3]]} | {"states": [57, 61], "expectation_value": -3.608292622867768, "params": null, "bitstrings": ["11000110", "11000010"], "total_optimization_steps": 66, "probabilities": [0.0675606229645946, 0.7696415413522651], "optimization_time": 111.81672286987305} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["00111001", "11000110", "01111001", "00111101", "11000010", "10000110"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.47481046688942513) q[1];
cx q[2], q[1];
cx q[2], q[0];
rz(0.47481046688942513) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(0.47481046688942513) q[0];
cx q[1], q[0];
h q[3];
cx q[0], q[3];
rz(0.47481046688942513) q[3];
cx q[0], q[3]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[5], 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] = me... | [
"IIIIIZZI",
"IIIIIZIZ",
"IIIIIIZZ",
"IIZIIIZI",
"ZIIIIIZI",
"ZIZIIIII",
"IIIIZIIZ",
"IIZIZIII",
"IZIIIZII",
"IZIIIIZI",
"IZZIIIII",
"ZZIIIIII",
"IZIIZIII",
"IIIZIIZI",
"IIIZIIIZ",
"IZIZIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"ZIIIIIII",
"IIIIZIII",
"IZIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.458692 | [
0.47481046688942513,
-7.271685990081727e-9,
-0.6347880707629995
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 108 |
11576eab70c2ec583415b5e8bd58f9e2 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [6, 7], "expectation_value": -0.2862464767849584, "params": [[[1.3871, 0.0077], [1.3909, 0.0057], [1.381, 0.006200000000000001], [1.6005, 0.006200000000000001], [1.603, 0.0068000000000000005], [1.5946, 0.0044]]], "bitstrings": ["111001", "111000"], "total_optimization_steps": 160, "probabilities": [0.0268645... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 1 | 6 | 1 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3716796306065885) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.3716796306065885) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.3716796306065885) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.3716796306065885) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
1.75,
1.75,
1.75,
1.75,
1.75,
2,
2,
2,
1.75,
2,
2,
2,
2,
2,
1.75,
-0.75,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25
] | 0.698312 | [
-0.3716796306065885,
0.8727381071204077,
0.7179543098390148,
-0.19857375753212136,
0.8889599314407369,
-1.5807265779890087,
2.4860629174438844,
1.2068334987105587,
0.4724410059780224
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 259 |
9c42d64a7466ccf874275fc8844c2c25 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [183, 182], "expectation_value": -2.2778813843511543, "params": [-0.0073, 0.0007, 0.5023, 0.49660000000000004, 0.2602, 0.2534, 0.5026, 0.5071, 0.5016, 0.5007, -0.0007, -0.0033, 0.5055000000000001, 0.5067, 0.5023, 0.5, 0.3195, 0.3027, -0.0, -0.005, 0.5049, 0.5007, 0.24730000000000002, 0.22510000000000002, 0.5... | 0.5 * (Z(2) @ Z(1)) + 0.0625 * (Z(3) @ Z(1)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(5)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(3) @ Z(6)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(5) @ Z(6)) + -0.0625 * (Z(3) @ Z(4) @ Z(1)) + -0.0625 * (Z(3)... | 14 | 9 | 2 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.8125, "smallest_bitstrings": ["110001001", "101101000", "101001010", "101001001"], "largest_eigenvalue": 6.1875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-9.07577882516075e-09) q[0];
cx q[4], q[0];
rz(1.570796363493768) q[0];
rx(-1.5707963622037864) q[0];
cx q[4], q[2];
rz(-9.07577882516075e-09) q[2];
cx q[4], q[2];
cx q[2], q[1];
rz(-9.07577882516075e-09) q[1];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIZIIIZI",
"IIZIIIIZI",
"IIIIZZIII",
"IIIZIZIII",
"IIZIIZIII",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIIZZIZI",
"IIIZIZIZI",
"IIZIIZIZI",
"IIIZZIIZI",
"IIZIZIIZI",
"IIZZIIIZI",
"IIIZZZIII",
"IIZIZZIII",
"IIZZIZIII",
"IIZZZIIII",
"... | [
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.25,
0.25,
0.25,
-0.25,
0.25,... | 0.8 | [
-9.07577882516075e-9,
-1.5707962474353703,
1.5707963634937685,
-1.5707962955026136,
1.5707962811770297,
-1.5707963622037862
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 159 |
1536b63d241483fb5dc02588be4ba19b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [110, 430], "expectation_value": -2.3969045535554807, "params": [[[-0.0014, -0.2013, 0.004, 0.0064], [0.17350000000000002, 0.4093, 0.0868, 0.4025], [0.2023, -0.2818, 0.1535, -0.39280000000000004], [0.0582, -0.38130000000000003, 0.4358, -0.28240000000000004], [0.4142, 0.0631, -0.3972, -0.2151], [0.19190000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(2) @ Z(6)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(4) @ Z(7)) + 0.0625 * (Z(5) @ Z(6)) + 0.0625 * (Z(5) @ Z(7)) + 0.0625 * (Z(6) @ Z(7)) + -0.0625 * (Z(4) @ Z(5) @ Z... | 11 | 10 | 4 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.4375, "smallest_bitstrings": ["1011000001", "1010010001", "1110000001", "1001010001", "0110100001", "1001100001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.04779183555766979) q[0];
rz(pi/2) q[0];
ry(0.8306418339210944) q[1];
ry(0.05682480482049211) q[2];
ry(-0.05796229018538766) q[3];
ry(0.8499443990166291) q[4];
ry(0.7642536277892962) q[5];
ry(0.9814073438298536) q[6];
ry(0.521067015089204) q[7];
ry(1.1286822792896... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIZIIZII",
"IIIZIIIZII",
"IIZIIIIZII",
"IIIIZZIIII",
"IIIZIZIIII",
"IIZIIZIIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IIIIZZIZII",
"IIIZIZIZII",
"IIZIIZIZII",
"IIIZZIIZII",
"IIZIZIIZII",
"IIZZIIIZII",
"IIIZZZIIII",
"IIZIZZIIII"... | [
0.5,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.5,
0.125,
0.125,
0.125,... | 0.975441 | [
-0.04779183555766979,
0.8306418339210944,
0.05682480482049211,
-0.05796229018538766,
0.8499443990166291,
0.7642536277892962,
0.9814073438298536,
0.521067015089204,
1.128682279289605,
-0.10572734460785212,
-0.004947795862729976,
-0.08436678599328315,
0.3852756836515644,
0.04561754259989417,... | {
"n_parameters": 79,
"n_qubits": 10,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 50 |
250509f37f9446f8e0ae2849e52dd5c2 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "... | {"states": [2060, 12], "expectation_value": -12.110464502635276, "params": [0.4877, -0.16240000000000002, 0.005, 0.6883, -0.003, 0.8135, -0.0002, -0.8196, -0.0057, -0.882, -0.00030000000000000003, 0.9461, 0.0007, 0.7003, -0.0024000000000000002, 0.9278000000000001, 1.0485, 0.0132, 1.1193, 0.3225, 0.0966, 1.0123, 0.0044,... | 0.5 * (Z(0) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(0)) + 1.0 * (Z(1) @ Z(8)) + 0.8571428571428572 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(9)) + 1.0 * (Z(2) @ Z(8)) + 0.8571428571428572 * (Z(2) @ Z(0)) + 1.0 * (Z(2) @ Z(9)) + 1.7142857142857144 * (Z(2) @ Z(1)) + -1.0 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(0)) + -1.0 * (Z... | 18 | 12 | 3 | {"smallest_eigenvalues": [-12.214285714285715], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.928571428571429, "smallest_bitstrings": ["111111110011"], "largest_eigenvalue": 61.35714285714286} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.23187867410549912) q[3];
cx q[4], q[3];
rz(0.8132055690128235) q[3];
rx(0.035835034364257105) q[3];
rz(0.8132055690128235) q[4];
rx(0.035835034364257105) q[4];
cx q[4], q[3];
rz(-0.05443002659568791) q[3];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIIZIIIIIIIZ",
"IIZZIIIIIIII",
"IIZIIIIIIIIZ",
"IIIZIIIIIIZI",
"IIIIIIIIIIZZ",
"IIZIIIIIIIZI",
"IIIZIIIIIZII",
"IIIIIIIIIZIZ",
"IIZIIIIIIZII",
"IIIIIIIIIZZI",
"IIIZIIZIIIII",
"IIIIIIZIIIIZ",
"IIZIIIZIIIII",
"IIIIIIZIIIZI",
"IIIIIIZIIZII",
"IIIZIZIIIIII",
"IIIIIZIIIIIZ",
"IIZIIZIII... | [
0.5,
1,
0.5,
1,
0.8571428571428572,
1,
1,
0.8571428571428572,
1,
1.7142857142857144,
-1,
-0.5,
-1,
-1,
-1,
-2,
-1,
-2,
-2,
-2,
2,
-0.5,
-0.5,
-0.5,
-1,
-1,
0.5,
1,
0.5,
0.5,
-0.5,
-1,
1,
1,
-1,
-2,
1,
-0.07142857142857142,
2.5,
1.14285714... | 0.935118 | [
-0.32731231516638337,
0.14897380147739106,
0.3033132207069555,
-0.2901323363886198,
-0.02932935189490087,
0.10782745201277463,
-0.2881621225257422,
1.141182308632574,
0.23187867410549912,
-0.6141242174422797,
0.03341520145894577,
0.6529864875408972,
0.6390851350237903,
0.859657635171111,
... | {
"n_parameters": 68,
"n_qubits": 12,
"optimal_eigenvalue": -12.214285714285715,
"target_ratio": 0.97,
"target_value": -11.847857142857144
} | 500 |
cde6b48ed870286595c1455af7aff8bd | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [1, 0], "expectation_value": -1.7499936741746274, "params": [-0.0007, 0.006200000000000001, -0.0018000000000000002, 0.003, -0.0046, 0.0027, 0.0048000000000000004, 0.0081, 0.0048000000000000004], "bitstrings": ["110", "111"], "total_optimization_steps": 10, "probabilities": [5.348673311292624e-06, 0.999993674... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0) @ Z(1)) + -0.75 * Z(0) + -0.75 * Z(1) + -0.75 * Z(2) | 18 | 3 | 1 | {"smallest_eigenvalues": [-1.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["111"], "largest_eigenvalue": 3.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[3] c;
qubit[3] 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];
crz(x6) q[2], q[0];
cr... | null | {"circuits": [], "gradients": []} | [
"IZZ",
"ZIZ",
"ZZI",
"ZZZ",
"IIZ",
"IZI",
"ZII"
] | [
0.25,
0.25,
0.25,
-0.25,
-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 |
f20b14ccaf46fd91ed39b9c05edbe906 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 1, "target"... | {"states": [14263, 14261], "expectation_value": -9.273110165291575, "params": [[[0.21960000000000002, 0.38470000000000004], [0.7855000000000001, 0.0015], [0.7878000000000001, -0.0016], [0.1951, -0.38020000000000004], [0.7807000000000001, -0.0031000000000000003], [0.7862, 0.0026000000000000003], [0.7838, -0.0027], [0.72... | 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(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 1 | 15 | 4 | {"smallest_eigenvalues": [-10.249999999999986], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.249999999999936, "smallest_bitstrings": ["100100001001010"], "largest_eigenvalue": 30.750000000000078} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIZI",
"IIIIIIIZZIIIIII",
"IIIIIIZIIIIIZII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"... | [
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,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.5,
1.25,
1.25,
1.25,
1.25,
1.25,
1.2... | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
081a3ef2a02910794db9cb14b9d27e2c | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 1}, {"source": 1, "target": 4}]} | {"states": [14318, 14190], "expectation_value": -7.909765574926057, "params": [0.1077, 0.6266, 1.5071, -0.0061, 1.5656, -0.0029000000000000002, 0.1072, 0.6854, 1.6669, 0.0246, 1.5123, -0.0427, 1.0078, 0.1067, 1.0202, -0.010100000000000001, 1.4079000000000002, -0.0396, 1.5676, -0.0085, 0.2677, 0.778, 1.4801, 0.0813, 1.3... | 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(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 4 | 15 | 2 | {"smallest_eigenvalues": [-8.749999999999979], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.749999999999964, "smallest_bitstrings": ["100100010010001"], "largest_eigenvalue": 26.250000000000107} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3032958163120794) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(-0.3032958163120794) q[0];
cx q[2], q[0];
rz(0.8552742360724439) q[0];
rx(0.459671657095483) q[0];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.3032958163120794) q[3];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIZI",
"IIIIIIIZZIIIIII",
"IIIIIIZIIIIIZII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"... | [
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,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.971835 | [
-0.3032958163120794,
0.8552742360724437,
0.459671657095483,
-0.19969798362318422,
-0.5347021902916858,
0.39881531451821206,
-0.8390846379262727,
0.5552620141921045,
0.31915477986402796,
-0.8857236685748646,
1.4111741889625347,
0.36007566681044045
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 49 |
8b86b8c78e12bc4605ea690d344857fc | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [887, 885], "expectation_value": -1.7233024070576135, "params": [0.6855, 0.0027, 2.5012000000000003, 0.0053, 1.9152, 0.0094, 0.6712, 0.0098, 2.5047, 0.0046, 2.1728, 0.0077, 2.5046, 0.0032, -0.0018000000000000002, 0.0067, 2.5066, 0.0002, 1.4954, 0.0044, 2.5093, 0.0032, 0.0047, 0.0051, 0.0014, 0.0071, 0.0083, ... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(8)) + 0.25 * (Z(3) @ Z(8)) + -0.25 * (Z(0) @ Z(3) @ Z(8)) ... | 18 | 11 | 1 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 25, "first_excited_energy": -2.437... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.11920669744375724) q[0];
ry(1.9252508201424514) q[1];
ry(2.0998903902431776) q[2];
ry(0.56188800462726) q[3];
ry(1.4726899163457718) q[4];
ry(-0.1346655007152434) q[5];
ry(0.996913031915014) q[6];
ry(-0.10275167613215101) q[7];
ry(0.6854602440857133) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIIZZZIII",
"IIIZZIIIIII",
"IIIIIIIZIIZ",
"IIZIIIIIIIZ",
"IIZIIIIZIII",
"IIZIIIIZIIZ",
"IIIIIIZIIZI",
"IIIIZIIIIZI",
"IIZIIIIIIZI",
"IZIIIIIIIZI",
"IIIIZIZIIII",
"IIZIIIZII... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
... | 0.97554 | [
-0.11920669744375724,
1.9252508201424514,
2.0998903902431776,
0.56188800462726,
1.4726899163457718,
-0.1346655007152434,
0.996913031915014,
-0.10275167613215101,
0.6854602440857133,
-0.22894010122808994,
0.9491217717230883,
-0.0770458490092001,
0.08523896558135396,
-0.13916357234307355,
... | {
"n_parameters": 33,
"n_qubits": 11,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 34 |
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