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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
6431010726793772415 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4, 5], [3, 4, 6], [1, 2, 3], [3, 4, 5], [0, 3, 6], [2, 3, 4], [1, 4, 6], [4, 5, 6]]} | {"states": [43, 27], "expectation_value": -0.09645673516761627, "params": [[-0.0621], [0.0732]], "bitstrings": ["1010100", "1100100"], "total_optimization_steps": 10, "probabilities": [0.00829022513236953, 0.008339799692740069], "optimization_time": 0.6871547698974609} | 0.3333333333333333 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(1) @... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.3333333333333335, -2.3333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.333333333333333, "smallest_bitstrings": ["1000100", "1100100"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.8513425735051834) q[0];
rz(1.4801975305626236) q[0];
rx(1.9872239595196413) q[1];
rz(0.9087147663523778) q[1];
rx(2.1938438685736323) q[2];
rz(0.17549453198440812) q[2];
rx(2.025800476243353) q[3];
rz(0.05438129854999518) q[3];
rx(0.2122678782722213) q[4];
rz(1.384... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[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[5];
rz(x1)... | null | {"circuits": [], "gradients": []} | [
"IIZIZII",
"IZZIIII",
"IZIIZII",
"IIZZIII",
"IIIZZII",
"IZIZIII",
"ZIZIIII",
"ZZIIIII",
"ZIIZIII",
"IIZIIZI",
"IIIIZZI",
"IIIZIZI",
"ZIIIIZI",
"IIIZIIZ",
"ZIIIIIZ",
"IIZIIII",
"IIIIZII",
"IZIIIII",
"IIIZIII",
"ZIIIIII",
"IIIIIZI",
"IIIIIIZ"
] | [
0.3333333333333333,
0.5,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
1,
0.499999999999999... | 0.97596 | [
0.8513425735051834,
1.2403184987224618,
1.987223959519641,
0.9812102849264348,
2.1938438685736323,
0.12795897017820285,
2.025800476243353,
-0.0005418911274594346,
0.2122678782722213,
1.1468106891353382,
2.073673417922038,
0.49565390576556534,
2.0557498725727674,
0.5489384675324405,
-0.02... | {
"n_parameters": 35,
"n_qubits": 7,
"optimal_eigenvalue": -2.3333333333333335,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 23 |
bdf4ac9aea3c01fe4a0763ed16a2cb41 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 12, "source": 1, "target": 5}, {... | {"states": [179, 121], "expectation_value": -21.433364937708493, "params": [[-0.0413, 0.0018000000000000002], [0.0821, 0.0718]], "bitstrings": ["01001100", "10000110"], "total_optimization_steps": 10, "probabilities": [0.012526218221309494, 0.014884627473689268], "optimization_time": 5.061312675476074} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 10.5 * Z(0) + 13.5 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.5, "smallest_bitstrings": ["10000110"], "largest_eigenvalue": 147.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.005067002524934633) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.005067002524934633) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.005067002524934633) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.005067002524934633) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII",
"IIZIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
10.5,
13.5,
16,
14,
10.5,
12.5,
-5
] | 0.970251 | [
-0.005067002524934633,
-1.6850127511143769,
1.496672048440283,
-1.2063358954308774,
-1.6956027444208053,
-1.8100060217454483,
1.8395040859899134,
1.5618704167181376,
-0.3067283596242682,
0.39700273227905436,
-0.08214440551161827,
-0.6163421203175338,
-0.8315577773199614,
-1.301594664564469... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -65.5,
"target_ratio": 0.97,
"target_value": -63.535
} | 32 |
-4218162182805937714 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 3, 5, 7], [2, 3, 4, 5, 6, 7], [0, 1, 2, 3, 4, 6, 7], [0, 4, 5, 6], [1, 2, 3, 4, 5, 6]]} | {"states": [103, 231], "expectation_value": -0.9018558862944885, "params": [1.2924, -0.0128, 0.9326000000000001, 0.0085, 1.2891000000000001, 0.0017000000000000001, 1.2884, 0.009600000000000001, 1.2904, 0.0045000000000000005, 1.29, 0.0026000000000000003, 1.0615, 0.0066, 0.8875000000000001, 0.0022, 1.1363, 0.0074, 0.8797... | 0.07380952380952381 * (Z(0) @ Z(1)) + 0.10714285714285715 * (Z(3) @ Z(1)) + 0.07380952380952381 * (Z(3) @ Z(0)) + 0.08333333333333334 * (Z(5) @ Z(1)) + 0.13333333333333333 * (Z(5) @ Z(0)) + 0.11666666666666667 * (Z(5) @ Z(3)) + 0.07380952380952381 * (Z(7) @ Z(1)) + 0.07380952380952381 * (Z(7) @ Z(0)) + 0.10714285714285... | 6 | 8 | 1 | {"smallest_eigenvalues": [-1.0404761904761908, -1.0404761904761908], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0071428571428576, "smallest_bitstrings": ["00011000", "00010010"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.7275244291516685) q[0];
rz(1.685819730945667) q[0];
rx(1.5852887451267372) q[1];
rz(1.486949504784243) q[1];
rx(1.7084040869049952) q[2];
rz(1.6012938874947107) q[2];
rx(0.8600119343668917) q[3];
rz(1.5335177909799178) q[3];
rx(0.8709977299840673) q[4];
rz(1.630075... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIZIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIZIIIII",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZZII",
"IIZIIZII",
"ZIIIIZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZZIII",
"IIZZIIII",
"ZIIZIIII",
"IIIZIZII",
"IZIIIIZI",
"IZIIIII... | [
0.07380952380952381,
0.10714285714285715,
0.07380952380952381,
0.08333333333333334,
0.13333333333333333,
0.11666666666666667,
0.07380952380952381,
0.07380952380952381,
0.10714285714285715,
0.08333333333333334,
0.05714285714285714,
0.023809523809523808,
0.09047619047619047,
0.06666666666666... | 0.970561 | [
1.7275244291516685,
0.11502340415077045,
1.5852887451267372,
-0.08384682201065392,
1.7084040869049952,
0.030497560699814373,
0.8600119343668916,
-0.0372785358149782,
0.8709977299840673,
0.05927880692626569,
1.6413629407197086,
0.04979242978064936,
1.5971549959365252,
0.0026717905477963433,... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -1.0404761904761908,
"target_ratio": 0.97,
"target_value": -1.009261904761905
} | 41 |
-2667211429212715739 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[2, 12, 6, 7], [9, 5], [10, 5], [8, 10, 11, 7], [1, 2, 3, 7, 8], [0, 3], [4, 6]]} | {"states": [2802, 2803], "expectation_value": -1.9953440472949944, "params": [[[-0.0026000000000000003, 0.006900000000000001, 0.004, 0.004], [1.0462, -0.0027, 1.0518, 0.0095], [-0.0029000000000000002, 0.006200000000000001, 0.009300000000000001, 0.0021000000000000003], [0.9608000000000001, -0.0026000000000000003, 1.0941... | 0.08333333333333333 * (Z(2) @ Z(12)) + 0.08333333333333333 * (Z(6) @ Z(12)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(12)) + 0.13333333333333333 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(6)) + 0.5 * (Z(9) @ Z(5)) + 0.08333333333333333 * (Z(10) @ Z(7)) + 0.5 * (Z(10) @ Z(5)) + 0.05 ... | 12 | 13 | 1 | {"smallest_eigenvalues": [-2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006, -2.7000000000000006], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.7, "smallest_bitstrings": ["1010100001100", "1010110000010", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(-0.028431015164199144) q[0];
rz(-0.1491982858686965) q[0];
ry(2.0145596518427595) q[1];
rz(-0.0709558118747609) q[1];
cz q[1], q[0];
ry(1.5040583861180865) q[1];
ry(0.11290973733529276) q[2];
rz(0.8042141579583952) q[2];
ry(1.2743831814824964) q[3];
rz(-0.0284310151... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"ZIIIIIIIIIZII",
"ZIIIIIZIIIIII",
"IIIIIIZIIIZII",
"ZIIIIZIIIIIII",
"IIIIIZIIIIZII",
"IIIIIZZIIIIII",
"IIIZIIIZIIIII",
"IIZIIZIIIIIII",
"IIZIIIIZIIIII",
"IIIIZIIIIIZII",
"IIIIZZIIIIIII",
"IIZIZIIIIIIII",
"IZIIIZIIIIIII",
"IZZIIIIIIIIII",
"IZIIZIIIIIIII",
"IIIIIIIIIIZZI",
"IIIIIZIIIII... | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.13333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.5,
0.05,
0.13333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.05,
0.05,
0.... | 0.978778 | [
-0.028431015164199144,
-0.1491982858686965,
2.0145596518427595,
-0.0709558118747609,
0.11290973733529276,
0.8042141579583952,
1.2743831814824964,
-0.061497340567743516,
-0.6442356786361316,
1.2459577682876861,
3.183480206690311,
-0.0313601306096421,
0.36920722462813893,
-0.7299605914864165... | {
"n_parameters": 33,
"n_qubits": 13,
"optimal_eigenvalue": -2.7000000000000006,
"target_ratio": 0.97,
"target_value": -2.6190000000000007
} | 51 |
58b7c564994d921beb054319f164fa81 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 8}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, {"sour... | {"states": [492, 488], "expectation_value": -2.5513752449727747, "params": [1.6144, 0.0083, 1.6142, 0.0097, 1.6073000000000002, 0.0063, 1.5842, 0.0021000000000000003, 0.0031000000000000003, 0.0025, 1.5952000000000002, 0.0006000000000000001, 1.5695000000000001, 0.0018000000000000002, 1.5515, 0.0051, 0.1448, 0.0044, 0.00... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(5) @ Z(7)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.0 * Z(8) + 0.0 * Z(1) + 0.0 * Z(2) + -0.5 * Z(3) + -1.0 * Z(6) + -0.5 * Z(7) + 0.0 * Z(5) | 3 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.0, "smallest_bitstrings": ["000111001", "000011101", "010010110", "000110011", "000010111"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.8685405469206824) q[0];
rz(0.8410407647917468) q[0];
rx(2.8846356288216204) q[1];
rz(-0.43206310683513927) q[1];
rx(-3.04455057157006) q[2];
rz(0.19647445773491246) q[2];
rx(2.8788972014629954) q[3];
rz(1.7840905938186324) q[3];
rx(-0.2068033013469099) q[4];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"ZIIIIIIZI",
"IIIIZIZII",
"IIIIZZIII",
"IIZIZIIII",
"ZIZIIIIII",
"IIZIIZIII",
"ZZIIIIIII",
"IZIZIIIII",
"IIIIZIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
0,
0,
-0.5,
-1,
-0.5,
0
] | 0.973384 | [
2.8685405469206824,
0.9078741148319212,
2.8846356288216204,
-0.6565338093120668,
3.238634735609527,
-0.12196752472478459,
2.8788972014629954,
1.6488436935617945,
-0.2068033013469099,
-0.7181293183843358,
3.123240908665624,
0.44153230122087794,
-0.20079057745508144,
-0.020246438691377718,
... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 18 |
647765b6ab0983718acd0fd4721756f9 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [0, 2047], "expectation_value": -15.142425485217656, "params": [0.0167, 0.13570000000000002, 0.037200000000000004, 1.0269000000000001, 0.0608, -0.5902000000000001, -0.0317, 1.6005, -0.17700000000000002, 2.2106, -0.036000000000000004, 1.8305, -0.6022000000000001, 0.058300000000000005, 0.019200000000000002, 1.... | -2.0 * (Z(0) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(0)) + -2.0 * (Z(1) @ Z(4)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + -2.0 * (Z(9) @ Z(10)) + 0.5 * (Z(2) @ Z(10)) + -2.0 * (Z(2) @ Z(9)) + 0.5 * (Z(3) @ Z(10)) + -2.0 * (Z(3) @ Z(9)) +... | 6 | 11 | 2 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.047905906202147505) q[0];
ry(0.07815955579413861) q[1];
ry(0.14554066803158464) q[2];
ry(-0.04192860760811422) q[3];
ry(-0.10658023757062787) q[4];
ry(-0.10658023757062787) q[5];
ry(0.05689852036351767) q[6];
ry(0.14554066803158464) q[7];
ry(-0.10658023757062787)... | 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] x11;
in... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIIIZIIIIZ",
"IIIIIIZIIZI",
"IIIIIIIIIZZ",
"IIIIIZIIIZI",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"ZZIIIIIIIII",
"ZIIIIIIIZII",
"IZIIIIIIZII",
"ZIIIIIIZIII",
"IZIIIIIZIII",
"IIIIIIIZZII",
"IIIIIIZIIII",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIIIIIII... | [
-2,
-2,
-2,
-2,
1,
-2,
-1.5,
0.5,
-2,
-2,
0.5,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5
] | 0.971473 | [
-0.047905906202147505,
0.07815955579413861,
0.14554066803158464,
-0.04192860760811422,
-0.10658023757062787,
0.05689852036351767,
0.265888080302116,
0.08882266289314884,
3.2652917603856744,
0.2133011234292173,
-0.033123425719088634,
0.05498080749663792,
0.1385954854718785
] | {
"n_parameters": 13,
"n_qubits": 11,
"optimal_eigenvalue": -21,
"target_ratio": 0.97,
"target_value": -20.37
} | 16 |
16f78d4600a63f9e28571cad22ffe3ee | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 5}, {"weight": 8, "source": 2, "target": 3}, {"weight": 11, "source": 2, "targ... | {"states": [185, 182], "expectation_value": -11.6993976024814, "params": [[-0.0393], [0.0772]], "bitstrings": ["101000110", "101001001"], "total_optimization_steps": 10, "probabilities": [0.004274611021365353, 0.004874002988803149], "optimization_time": 2.045548439025879} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 10.0 * Z(1) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["101001001"], "largest_eigenvalue": 148.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.06533991207500221) q[0];
rz(1.7673554067439534) q[0];
rx(0.22394717722886268) q[1];
rz(1.5834346747889922) q[1];
rx(0.5914177553622147) q[2];
rz(1.2988874808531223) q[2];
rx(0.7383563693045873) q[3];
rz(1.421982816396154) q[3];
rx(0.6418769613290847) q[4];
rz(1.784... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIZIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
-4,
14.5,
4,
18,
10.5,
15,
11,
6.5
] | 0.979432 | [
0.0653399120750022,
0.196559079949057,
0.2239471772288627,
0.012638347994095411,
0.5914177553622149,
-0.27190884594177434,
0.7383563693045871,
-0.14881351039874235,
0.6418769613290847,
0.21384660442009046,
0.8641840268522056,
0.23059727903605726,
0.11989875580688164,
-0.19251224406203676,
... | {
"n_parameters": 90,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 22 |
1ed9ba04ea328fdad94a00f61e3a128c | 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": 11}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 5, "source":... | {"states": [0, 2045], "expectation_value": -25.519995349719704, "params": [[[0.0008, -0.0024000000000000002], [-0.009000000000000001, 1.6144], [0.0023, 0.0035], [0.0025, 0.0026000000000000003], [0.003, -0.0028], [0.0036000000000000003, 0.0026000000000000003], [0.0024000000000000002, -0.0026000000000000003], [0.0025, -0... | 0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -1.25 * (Z(5) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -1.75 * (Z(6) @ Z(1)) + -1.25 * (Z(9) @ Z(4)) + -1.0 * (Z(9) @ Z(6)) + -0.25 * (Z(10) @ Z(4)) + -0.25 * (Z(10) @ Z(6)) + -1.0 * (Z(7) @ Z(3)) + -1.25 * (Z(7) @ Z(6)) + -1.5 * (Z(7)... | 15 | 12 | 2 | {"smallest_eigenvalues": [-26.0, -26.0, -26.0, -26.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -25.0, "smallest_bitstrings": ["100000000000", "100000000110", "100000000100", "100000000010"], "largest_eigenvalue": 28.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.014365245870419395) q[0];
ry(-0.1801737237339883) q[1];
ry(0.010954167108101945) q[2];
ry(-0.022241248730258085) q[3];
ry(0.09732259254129802) q[4];
ry(0.09240028581349569) q[5];
ry(-0.021204099147915965) q[6];
ry(-0.11974456134840789) q[7];
ry(-0.149775005524760... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIIZ",
"IIIIIIIZIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIIZIIIZI",
"IIIIIZIZIIII",
"IIIIIZIIIIZI",
"IIZIIIIZIIII",
"IIZIIZIIIIII",
"IZIIIIIZIIII",
"IZIIIZIIIIII",
"IIIIZIIIZIII",
"IIIIZZIIIIII",
"IIZIZIIIIIII",
"IZIIZIIIIIII",
"IIIIIIIZIZII",
"IIZIIIIIIZII",
"IIIIZIIII... | [
0.25,
-0.5,
-0.5,
-0.75,
-1.25,
-1,
-1.75,
-1.25,
-1,
-0.25,
-0.25,
-1,
-1.25,
-1.5,
-1.5,
-0.5,
-1.25,
-1.25,
-1.25,
-0.5,
-1.5,
-1,
-0.75,
-0.75,
-1.25,
-1.5,
-3.25,
-0.25,
-0.5,
2,
0,
1.25,
-5,
-2,
1.25,
-0.5,
4.75,
2.25
] | 0.972221 | [
-0.014365245870419395,
-0.1801737237339883,
0.010954167108101945,
-0.022241248730258085,
0.09732259254129802,
0.09240028581349569,
-0.021204099147915965,
-0.11974456134840789,
-0.14977500552476075,
0.025261411010719742,
0.07997212320478807,
0.10185379856986486,
0.9042490287066014,
-0.15867... | {
"n_parameters": 50,
"n_qubits": 12,
"optimal_eigenvalue": -26,
"target_ratio": 0.97,
"target_value": -25.22
} | 26 |
b91502863ddffd170e0084616022b75f | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 6},... | {"states": [127, 1663], "expectation_value": -18.883445832560987, "params": null, "bitstrings": ["11110000000", "00110000000"], "total_optimization_steps": 100, "probabilities": [0.1269185585102941, 0.4290577040384221], "optimization_time": 267.7932548522949} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + -2.5 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(7)) + -2.5 * (Z(8) @ Z(6)) + 1.0 * (Z(9) @ Z(7)) + -2.5 * (Z(9) @ Z(6)) + 1.0 * (Z(9) @ Z(8)) + -2.5 * (Z(10) @ Z(7)) + 1.5 * (Z(10) @ Z(6)) + -... | 1 | 11 | 1 | {"smallest_eigenvalues": [-24.0, -24.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -23.0, "smallest_bitstrings": ["00111100000", "00110000000"], "largest_eigenvalue": 26.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
ry(0.7362153943204753) q[1];
cx q[0], q[1];
ry(-0.7362153943204753) q[1];
cx q[0], q[1];
ry(0.6024487174615248) q[0];
cx q[1], q[0];
ry(-0.6024487174615248) q[0];
cx q[1], q[0];
h q[2];
ry(-0.22547132645593937) q[3];
rz(-pi) q[3];
h q[4];
ry(0.092257220... | null | {"node": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] 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];\nh q[10];\ncry(1.5708) q[2], 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[... | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIZIZIII",
"IIIIIZIIZII",
"IIIIIIZIZII",
"IIIIIZZIIII",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"IZIZIIIIIII",
"IZIIZIIIIII",
"IZZIIIIIIII",
"ZIIZIIIIIII",
"ZIIIZIIIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZI... | [
-1,
-2,
0.5,
-2.5,
0.5,
-1.5,
-2.5,
-2,
-2.5,
1,
-2.5,
1,
-2.5,
1.5,
-2.5,
-2.5,
0.5,
0.5,
-1,
-1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970175 | [
0.18451444018117732,
0.6403753577635032,
0.35454762885544416,
1.6176887095249661,
0.039038377035529266,
1.1207842229677545,
0.07620911795468864,
-0.6649662616889048,
0.2133347394399525,
0.6641972167258982,
1.0931447767143676,
-0.021715772449600268,
-1.0477477493625236,
-0.32989463213262277... | {
"n_parameters": 52,
"n_qubits": 11,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 212 |
5d3a7f0fc0229f8fe840773b48e2ac4d | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [4511, 5023], "expectation_value": -1.4354013833552024, "params": [1.3024, 0.2775, 0.2938, 0.5677, 0.2907, 0.5464, 0.8344, -0.31970000000000004, 1.2857, -0.3693, 1.2487000000000001, -0.1801, 0.6023000000000001, -0.40590000000000004, 0.7473000000000001, -0.338, 0.8336, -0.3437, 1.2916, 0.0993, 1.2933000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(6) @ Z(3) @ Z(4)) + -0.125 * (Z(... | 18 | 13 | 2 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.687... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(2.179969583913338) q[0];
rz(0.11735145406740033) q[0];
rx(0.22915332731223137) q[1];
rz(0.12093338548994714) q[1];
rx(-0.14030231468460047) q[2];
rz(0.4356529657934303) q[2];
rx(1.9159090351699462) q[3];
rz(0.13719755422998953) q[3];
rx(1.7271089019613852) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZIZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZZZ",
"IIIIIIIIZZIII",
"IIIIIIIZIZIII",
"IIIIIIZIIZIII",
"IIIIIIIZZIIII",
"IIIIIIZIZIIII",
"IIIIIIZZIIIII",
"IIIIIIIZZZIII",
"IIIIIIZIZZIII",
"IIIIIIZZIZIII",
"IIIIIIZZZIIII",
"IIIIIIZZZZIII",
"IIIIIIIIIZIIZ",
"IIIIIZIIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,... | 0.970672 | [
2.179969583913338,
0.14716273363616963,
0.22915332731223137,
0.12093338548994714,
-0.14030231468460047,
0.4356529657934303,
1.9159090351699462,
0.13719755422998953,
1.7271089019613852,
-0.008097248472066595,
0.9508664218247079,
-0.05526085517592878,
0.09627329726862041,
0.8842217826949947,... | {
"n_parameters": 75,
"n_qubits": 13,
"optimal_eigenvalue": -3.6875,
"target_ratio": 0.97,
"target_value": -3.576875
} | 65 |
edf882d81ff9cc6dd04b2b372b99a445 | 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": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [95, 127], "expectation_value": -7.991832960744636, "params": null, "bitstrings": ["10100000", "10000000"], "total_optimization_steps": 98, "probabilities": [0.11657775813715437, 0.5751793152187943], "optimization_time": 169.7172510623932} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + 1.25 * (Z(7) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(7)) + -1.5 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(7)) + -0.5 * (Z(4)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-11.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 13.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-1.294178110467672) q[0];
h q[1];
ry(0.1383616754257138) q[1];
h q[2];
ry(1.575815943169374) q[2];
h q[3];
h q[4];
ry(0.787907971584687) q[4];
cx q[2], q[4];
ry(-0.787907971584687) q[4];
cx q[2], q[4];
h q[5];
ry(0.8388306177923908) q[5];
cx q[3], q[5];
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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIZIIIZI",
"ZIZIIIII",
"IZIIIZII",
"ZIIIIZII",
"IZIIZIII",
"IIZIZIII",
"IIIIZZII",
"IIIZIIZI",
"IZIZIIII",
"ZIIZIIII",
"IIZZIIII",
"IIIZIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIIZII",
"IIIIZIII",
"IIIZIII... | [
-0.25,
-0.75,
1.25,
-1,
-0.75,
-1.5,
-0.75,
-0.5,
-1.25,
-0.75,
-0.75,
-0.75,
-0.75,
-0.5,
-1.25,
0,
-0.25,
-1,
-1,
0.5,
1.75,
-1.5,
1.5
] | 0.970238 | [
1.575815943169374,
1.432087070104017,
1.6776612355847815,
0.2767233508514276,
1.12397130943726,
0.7756512232512143,
0.9641730776805216,
-2.588356220935344,
-0.040075839562897835,
0.12549881444488223,
-0.21414780392445198,
0.47502116310819115,
0.5052557870900131,
-0.12045094258741418,
-0.... | {
"n_parameters": 50,
"n_qubits": 8,
"optimal_eigenvalue": -11.25,
"target_ratio": 0.97,
"target_value": -10.9125
} | 221 |
81418b938a55a030c8c4d090ba9395c3 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 6}, {"source": 0, "target": 9}, {"source": 1, "target": 2}, {"source": 2, "target": 7}, {"source": 3, "target":... | {"states": [346, 347], "expectation_value": -4.260792246517828, "params": [0.0732, -0.0063, 1.233, 1.1417000000000002, 1.2983, 0.37920000000000004, 1.3026, 1.304, 0.4133, 0.06420000000000001, 1.3044, 1.2986, 1.3041, 1.2982, 0.0057, -0.0048000000000000004, 1.2978, 1.2962, 0.8368, 0.7335, 0.32270000000000004, 0.681700000... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + 0.0 * Z(6) + -0.5 * Z(0) + -1.0 * Z(9) + -0.5 * Z(2) + 0.0 * Z(1) + -1.5 * Z(7) + 0.0 * Z(3) + -0.5 * Z(4) + 0.0 * Z(5) + ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1010100100", "1100100100"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.07659640435578724) q[0];
rz(pi/2) q[0];
ry(1.060875487637235) q[1];
ry(1.1961678095951818) q[2];
ry(1.598228014369242) q[3];
ry(0.47630201675519296) q[4];
ry(1.9284665772948397) q[5];
ry(1.9402322398689706) q[6];
ry(-0.24316381115668284) q[7];
ry(1.80968725820063... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIIIZ",
"ZIIIIIIIIZ",
"IIIIIIIZZI",
"ZIZIIIIIII",
"IIZIIIIZII",
"IIZIIIZIII",
"ZIIIIZIIII",
"IIIIZZIIII",
"IZZIIIIIII",
"IIIZIIIIII",
"IIIIIIIIIZ",
"ZIIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIZIIIIIII",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IZIIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-0.5,
-1,
-0.5,
0,
-1.5,
0,
-0.5,
0,
0
] | 0.97255 | [
-0.07659640435578724,
1.060875487637235,
1.1961678095951818,
1.598228014369242,
0.47630201675519296,
1.9284665772948397,
1.9402322398689706,
-0.24316381115668284,
1.8096872582006396,
1.3004267671448289,
-0.14903641822049404,
0.938960636658302,
-1.0355134646607613,
-0.11871460417976308,
0... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 33 |
022f37154ef60c6f79ecd211ae444bfa | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [134, 142], "expectation_value": -4.558828521556662, "params": [0.20700000000000002, 0.0008, 0.2053, -0.0001, -0.0038, 0.1105, -0.0055000000000000005, 0.1116, 0.0601, 0.09230000000000001, 0.0575, 0.09480000000000001, 0.0019, 0.1153, -0.0032, 0.11120000000000001, 0.1967, 0.004200000000000001, 0.2005, 0.038900... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + -2.0 * Z(1) + -0.5 * Z(0) + -1.0 *... | 7 | 8 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["01110001"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.34227625098400283) q[0];
rz(0.11026926979414498) q[0];
rx(0.07645566935780719) q[1];
rz(0.3095912022504053) q[1];
cx q[1], q[0];
rz(0.023818908544356966) q[0];
cx q[1], q[0];
rz(1.541435843655952) q[0];
ry(0.927758081047579) q[0];
rz(-1.5588355317737796) q[0];
rx(-... | 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",
"IIIIZZII",
"IIIZIIZI",
"IIIZZIII",
"IZIIIIZI",
"IZIIIZII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"IIZIZIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1,
-2,
-1,
-0.5,
-1.5,
-0.5
] | 0.976405 | [
0.3422762509840028,
0.13408817833850195,
0.07645566935780719,
0.3095912022504053,
0.3025579416635974,
0.020663421817970012,
0.10613370839549843,
0.03133841614770442,
0.37870523123411187,
0.23740719707080263,
0.5001046677780213,
-0.0923430257475071,
0.35758857077081047,
0.21732294948156455,... | {
"n_parameters": 133,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 11 |
887b4295f8cc98df17e71ab4f87db0b8 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, {"source": ... | {"states": [315, 383], "expectation_value": -17.182150267636075, "params": null, "bitstrings": ["1011000100", "1010000000"], "total_optimization_steps": 100, "probabilities": [0.037945667811134405, 0.39301072434084106], "optimization_time": 218.537992477417} | -1.5 * (Z(0) @ Z(2)) + -4.0 * (Z(3) @ Z(4)) + -3.0 * (Z(6) @ Z(4)) + -3.0 * (Z(6) @ Z(3)) + 1.5 * (Z(7) @ Z(4)) + -4.0 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + -3.0 * (Z(8) @ Z(4)) + -3.0 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 1.5 * (Z(1) @ Z(4)) + -4.0 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 1.5 ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-35.5, -35.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -34.5, "smallest_bitstrings": ["0000000000", "1010000000"], "largest_eigenvalue": 46.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
ry(0.10219392709245721) q[1];
h q[2];
h q[3];
ry(0.0016207216004930991) q[3];
h q[4];
ry(0.5489234061695667) q[4];
h q[5];
h q[6];
ry(0.7835359247864103) q[6];
h q[7];
cx q[7], q[3];
ry(-0.0016207216004930991) q[3];
cx q[7], q[3];
ry(0.09553748526711205... | null | {"node": 0} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[9], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... | [
"IIIIIIIZIZ",
"IIIIIZZIII",
"IIIZIZIIII",
"IIIZIIZIII",
"IIZIIZIIII",
"IIZIIIZIII",
"IIZZIIIIII",
"IZIIIZIIII",
"IZIIIIZIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IIIIIZIIZI",
"IIIIIIZIZI",
"IIIZIIIIZI",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IIIIZZIIII",
"IIIIZIZIII",
"IIIZZIIIII",
"IIZIZIIIII"... | [
-1.5,
-4,
-3,
-3,
1.5,
-4,
0.5,
-3,
-3,
1,
0.5,
1.5,
-4,
0.5,
1.5,
0.5,
-4,
1.5,
0.5,
-3,
0.5,
-3,
-4,
1.5,
0.5,
-3,
0.5,
-3,
1.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.959483 | [
1.0978468123391334,
0.0032414432009861983,
1.5670718495728206,
0.9955536816639163,
0.1910749705342241,
1.4242420400955211,
-2.467659279276621,
0.20438785418491442,
0.43100903522010825,
3.1701257291437894,
0.0013328470735777874,
0.01343222121304146,
0.0036439344503582335,
0.0330668522892452... | {
"n_parameters": 82,
"n_qubits": 10,
"optimal_eigenvalue": -35.5,
"target_ratio": 0.97,
"target_value": -34.435
} | 500 |
2823f1676db6b0c7d5dfa9a08a2484d7 | 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}], "edges": [{"... | {"states": [122, 106], "expectation_value": -63.761979818681304, "params": [[[0.0028, 1.2948000000000002], [-0.0023, 0.9672000000000001], [1.5721, -0.002], [1.5714000000000001, 0.0022], [0.7489, 0.5309], [1.5715000000000001, 0.0022], [0.0026000000000000003, 0.9278000000000001], [1.5708, 0.0023], [-0.0021000000000000003... | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(1) @ Z(3)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.5, "smallest_bitstrings": ["110010101"], "largest_eigenvalue": 109.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-1.023093798995736) q[0];
ry(0.13790922361236385) q[0];
rz(2.0692580639335656) q[0];
rz(-1.9761224412991092) q[1];
ry(0.03636419311638156) q[1];
rz(2.7589684160040147) q[1];
rz(-1.0899445671193688) q[2];
ry(2.9819914013580364) q[2];
rz(2.104900177866666) q[2];
rz(-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": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIZII",
"IIIIZIZII",
"IIIZZIIII",
"IIIIIZZII",
"IIIZIZIII",
"IIIIZZIII",
"IIIIIZIZI",
"IIZIIIZII",
"IIZZIIIII",
"IIZIZIIII",
"IIZIIZIII",
"ZIIZIIIII",
"IZIIIZIII",
"IZIIIIIZI",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIZIIII",
"IIIIIZIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
8.5,
-7,
9,
8,
13.5,
-3,
0.5,
-3.5,
-0.5
] | 0.971152 | [
-0.08072176112709065,
1.0925073379940022,
-0.046314158484139015,
0.8383620492243132,
1.6742963783294167,
-0.07362813179157136,
1.6605988281013733,
0.06854686303988436,
0.6545731853294117,
0.7924230472613771,
1.5927889701646547,
0.07443550107528724,
0.906398881574766,
1.5363746084857932,
... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -65.5,
"target_ratio": 0.97,
"target_value": -63.535
} | 1 |
7364134617263499022 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 4], [2, 3], [1, 3], [0, 2], [2, 5]]} | {"states": [49, 37], "expectation_value": -2.21915150204026, "params": null, "bitstrings": ["001110", "011010"], "total_optimization_steps": 36, "probabilities": [0.05692182511708005, 0.8176165674452001], "optimization_time": 28.442668676376343} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["100101", "011010"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.8563570678354413) q[0];
cx q[4], q[0];
cx q[0], q[2];
rz(-0.8563570678354413) q[2];
cx q[0], q[2];
rz(-3.81748694877615e-08) q[0];
rx(0.7853981668798803) q[0];
cx q[2], q[3];
rz(-0.8563570678354413) q[3];
cx q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IZIIIZ",
"IIIZIZ",
"IIZZII",
"IIZIZI",
"ZIIZII",
"IZIIII",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.521919 | [
-0.8563570678354413,
-3.81748696956406e-8,
0.7853981668798804
] | {
"n_parameters": 3,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 99 |
b4764399bb7694871d7cf0cc7a871143 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "so... | {"states": [9, 13], "expectation_value": -9.24999636362305, "params": null, "bitstrings": ["10110", "10010"], "total_optimization_steps": 25, "probabilities": [1.8181884717417974e-06, 0.9999981818115276], "optimization_time": 13.675734043121338} | -1.0 * (Z(0) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(1)) + -3.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(4) + 2.75 * Z(1) + 0.5 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10010"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.0026957957401774098) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.10581518505780388) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.11540216108184381) q[2];
cx q[3], q[2];
rz(0.4333108148961853) q[3];
rx(0.4323375606494058) q[... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5709) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IZIIZ",
"ZIIIZ",
"IZIZI",
"ZIIZI",
"IZZII",
"ZIZII",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
-1,
1.25,
-0.75,
-0.75,
-1.25,
-0.5,
-1.25,
-3,
-0.25,
0,
2.75,
0.5
] | 0.973046 | [
-0.0026957957401774098,
0.18039228660587642,
-0.10581518505780388,
0.11540216108184381,
0.21701496465636422,
0.4333108148961855,
0.3673365099505475,
-0.4099008906290893,
-0.6505096062879676,
-0.7080263566489183,
0.43233756064940576,
-0.1223249177971326,
-0.169718764529791,
-0.0048142708149... | {
"n_parameters": 41,
"n_qubits": 5,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 22 |
7f1f87f0cf2bbf74edb2b30972c9c166 | 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": [346, 345], "expectation_value": -61.47528904652274, "params": [[[0.5414, 0.125], [0.0359, 0.1874], [0.5987, 0.39630000000000004], [0.0826, 0.499], [0.1762, 0.5942000000000001], [0.1827, 0.3588], [0.0932, 0.5855], [0.5942000000000001, 0.5912000000000001], [0.3183, 0.14700000000000002]], [[0.5954, 0.3178], [0... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(0) @ Z(2)) + 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(4) @ Z(0)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(7) @ Z(0)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(8) @ Z(2)) + 6.0 * (Z(8) @ Z(3)) + 21.5 * Z(2) + 6.5 * Z(1) + 20.0 * ... | 15 | 9 | 4 | {"smallest_eigenvalues": [-99.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -88.5, "smallest_bitstrings": ["010100110"], "largest_eigenvalue": 177.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.9443614685089341) q[0];
ry(0.28666061169199425) q[1];
ry(1.285836229370677) q[2];
ry(0.018897824200742305) q[3];
ry(0.282546337642666) q[4];
ry(-0.12869188808910553) q[5];
ry(0.09456710697043316) q[6];
ry(0.5366868042746571) q[7];
ry(0.08924341515435202) q[8];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IIZIZIIII",
"IIIZIIIZI",
"IIIZZIIII",
"IIZZIIIII",
"IZIIIIIIZ",
"IZIIZIIII",
"ZIIIIIZII",
"ZIIIIZIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
21.5,
6.5,
20,
2,
20,
4.5,
15.5,
2,
7.5
] | 0.972507 | [
0.9443614685089341,
0.28666061169199425,
1.285836229370677,
0.018897824200742305,
0.282546337642666,
-0.12869188808910553,
0.09456710697043316,
0.5366868042746571,
0.08924341515435202,
0.02992212846660325,
0.06905480451488406,
0.43722610781144366,
0.5803779384287637,
0.8655101990772724,
... | {
"n_parameters": 71,
"n_qubits": 9,
"optimal_eigenvalue": -99.5,
"target_ratio": 0.97,
"target_value": -96.515
} | 107 |
-4057533796545964976 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 4, 5], [0, 1, 3, 4], [0, 5, 6, 7], [2, 6], [2, 4, 7], [1, 4, 5], [3, 6], [0, 4, 7], [1, 4, 6]]} | {"states": [142, 245], "expectation_value": -0.4632142349010886, "params": [[-0.17320000000000002], [0.1693]], "bitstrings": ["01110001", "00001010"], "total_optimization_steps": 20, "probabilities": [0.006137971030858745, 0.006163175373607872], "optimization_time": 3.1509199142456055} | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.41666666666666663 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.0833333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.7500000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.6666666666666665, "smallest_bitstrings": ["00001010"], "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[0];
rz(-0.007305155313456696) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.11377457282280637) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.20033523300852565) q[4];
cx q[0], q[4];
h q[5];
cx q[2], q[5];
rz(-0.00730515531345669... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIZIZII",
"IIIZIIIZ",
"IIZIIZII",
"IIZIIIIZ",
"IIZZIIII",
"IIIIIIZZ",
"IIIZIIZI",
"IIZIIIZI",
"IIIIZIIZ",
"IIIZZIII",
"IIIIZIZI",
"IZIIIZII",
"IZIIIIIZ",
"IZIZIIII",
"IZZIIIII",
"IZIIIIZI",
"IZIIZIII",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIII... | [
0.08333333333333333,
0.25,
0.3333333333333333,
0.08333333333333333,
0.16666666666666666,
0.25,
0.08333333333333333,
0.41666666666666663,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.16666666666666666,
0.0833333333333333... | 0.67301 | [
-0.007305155313456696,
-0.11377457282280637,
-0.20033523300852565,
-0.015024597181080212,
-1.1924899632566333,
-1.0310434320395527,
-0.06406005832891751,
-1.416586327362524,
0.7584359158384812,
-1.139911134778989,
-0.05556258987876266,
0.9617115537052668
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -2.7500000000000004,
"target_ratio": 0.97,
"target_value": -2.6675000000000004
} | 298 |
00c47f772e828bc0d4453cbe4002ef93 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [21, 7], "expectation_value": -12.59364044578392, "params": null, "bitstrings": ["1101010", "1111000"], "total_optimization_steps": 63, "probabilities": [0.10610002632784891, 0.6139460215007818], "optimization_time": 84.44865036010742} | 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 *... | 18 | 7 | 1 | {"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... | null | {"k": 4} | {"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(-1.5577) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"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 |
8ed7cc91faf8f25841f02066a68a347e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 4... | {"states": [0, 63], "expectation_value": -9.360855266286212, "params": [[[-0.013000000000000001, 0.8074], [-0.0027, 0.038400000000000004], [-0.0027, 0.003], [-0.0024000000000000002, 0.0033], [-0.002, 0.0018000000000000002], [-1.0557, 0.1394], [0.031900000000000005, -1.1287]], [[0.0027, -0.0074], [-0.0026000000000000003... | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -0.75 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(4)) + -0.75 * (Z(5) @ Z(6)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.0 * Z(2) ... | 15 | 7 | 3 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(1.2166224269295487e-08) q[0];
h q[0];
rx(-4.703941950630459e-08) q[1];
h q[1];
rx(1.0471278675330475) q[2];
h q[2];
rx(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIZIIZI",
"IIZIZII",
"ZIZIIII",
"IIIZZII",
"ZIIZIII",
"IIZZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIZIIII",
"IIIZIII",
"IZIIIII"
] | [
-1,
-0.75,
-1.5,
-1,
2.75,
-1,
-1.5,
-1,
-0.75,
-1,
-1.5,
-0.75,
-1.25,
-0.25,
0,
-1,
1.5,
0.25,
0.75
] | 0.65 | [
1.2166224269295487e-8,
-4.703941950630459e-8,
1.0471278675330475,
1.2694902564808772,
-0.4424797841444536,
1.333973771782864,
1.4117920327011293,
0.8124159459374324,
2.2415472708782914e-8,
-1.494340033644694,
1.5729220330218228e-7,
0.44247981073379616,
4.2241866926873623e-8,
0.381873338045... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 446 |
0e07c18cfcd6c70f78e81e85c4e65871 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [43349, 43605], "expectation_value": -2.0203395079825794, "params": [0.5328, 0.5262, 0.0031000000000000003, 0.0023, 0.5323, 0.5227, -0.00030000000000000003, 0.0066, -1.2456, -1.09, 0.42760000000000004, 0.4224, 0.9206000000000001, 0.7256, 0.47750000000000004, 0.4811, 0.0044, -0.0032, 0.5266000000000001, 0.522... | 0.25 * (Z(0) @ Z(1)) + -0.0008749999999999999 * (Z(2) @ Z(0)) + -0.0008749999999999999 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0008749999999999999 * (Z(4) @ Z(0)) + -0.0006875000000000002 * (Z(4) @ Z(2)) + -0.0008749999999999999 * (Z(5) @ Z(1)) + -0.0006875000000000002 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 13 | 16 | 3 | {"smallest_eigenvalues": [-2.0231249999999603], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0231249999998973, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.014874999999971} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(0.3333977512894373) q[0];
rz(-0.20287997953682674) q[0];
ry(-0.012046891448386004) q[1];
ry(0.36631981526226054) q[2];
ry(0.08653986353661852) q[3];
ry(-0.9245865733777989) q[4];
ry(0.49402419930250463) q[5];
ry(1.0693059495624317) q[6];
ry(0.567976175927438) q[7];
... | 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": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0008749999999999999,
-0.0008749999999999999,
0.25,
-0.0008749999999999999,
-0.0006875000000000002,
-0.0008749999999999999,
-0.0006875000000000002,
0.25,
0.00012500000000000003,
-0.0010625,
0.0001875,
0.00012500000000000003,
-0.0010625,
0.0001875,
0.25,
0.000375,
0.00056250... | 0.971721 | [
0.3333977512894373,
-0.012046891448386004,
0.36631981526226054,
0.08653986353661852,
-0.9245865733777989,
0.49402419930250463,
1.0693059495624317,
0.567976175927438,
0.016190483336059408,
0.5350621404091239,
0.07368527201857436,
0.4798445075103098,
0.2681317290018621,
0.6069730084642713,
... | {
"n_parameters": 184,
"n_qubits": 16,
"optimal_eigenvalue": -2.0231249999999603,
"target_ratio": 0.97,
"target_value": -1.9624312499999614
} | 11 |
-4581343669091199592 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3, 4, 5, 6, 7], [0, 1, 3, 4, 5, 6, 7], [0, 1, 2, 3, 4, 5, 7], [0, 1, 2, 4, 6, 7], [0, 2, 3, 4, 5, 6], [0, 2, 5, 6, 7], [0, 1, 2, 3, 6, 7], [1, 2, 3, 4, 6, 7]]} | {"states": [155, 185], "expectation_value": -0.96683580888707, "params": [[-0.3478], [0.3552]], "bitstrings": ["01100100", "01000110"], "total_optimization_steps": 40, "probabilities": [0.008119503445670237, 0.008119503445670237], "optimization_time": 3.6661243438720703} | 0.15714285714285714 * (Z(2) @ Z(3)) + 0.1476190476190476 * (Z(4) @ Z(3)) + 0.15714285714285714 * (Z(4) @ Z(2)) + 0.11428571428571427 * (Z(5) @ Z(3)) + 0.14047619047619048 * (Z(5) @ Z(2)) + 0.11428571428571427 * (Z(5) @ Z(4)) + 0.15714285714285714 * (Z(6) @ Z(3)) + 0.21666666666666667 * (Z(6) @ Z(2)) + 0.157142857142857... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.5333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.533333333333333, "smallest_bitstrings": ["01000110"], "largest_eigenvalue": 7.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-1.6753341531576418e-08) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(-1.4016094357135322e-07) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-1.6753341531576418e-08) q[4];
cx q[2], q[4];
h q[5];
cx q[3], q[5];
rz(-4.455846536... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIZZII",
"IIIZZIII",
"IIIZIZII",
"IIZIZIII",
"IIZIIZII",
"IIZZIIII",
"IZIIZIII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIIZIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIZIIZ",
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIIIZZ... | [
0.15714285714285714,
0.1476190476190476,
0.15714285714285714,
0.11428571428571427,
0.14047619047619048,
0.11428571428571427,
0.15714285714285714,
0.21666666666666667,
0.15714285714285714,
0.14047619047619048,
0.1476190476190476,
0.20714285714285713,
0.1476190476190476,
0.13095238095238093,... | 0.945378 | [
-1.6753341531576418e-8,
-1.4016094357135322e-7,
-4.455846536106039e-9,
-0.3893130104465964,
-9.147949518147192e-8,
1.6196480579166544e-7,
-1.3233544977178618e-9,
-1.1304090740839204e-8,
9.451660906217175e-8,
-2.1125997523153144e-9,
-1.1691199147807685e-7,
-1.570796239226919,
-1.5707964012576... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -1.5333333333333334,
"target_ratio": 0.97,
"target_value": -1.4873333333333334
} | 471 |
-5793055535118245962 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4], [0, 3], [0, 2], [0, 4], [2, 5], [4, 5], [3, 7], [3, 6]]} | {"states": [56, 199], "expectation_value": -0.0390008500112625, "params": [[-0.045700000000000005], [0.0538]], "bitstrings": ["11000111", "00111000"], "total_optimization_steps": 10, "probabilities": [0.0042182349899632585, 0.0042182349899632585], "optimization_time": 0.539680004119873} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(7) + 0.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["11000111", "00111000"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(-0.745769197587187) q[1];
cx q[4], q[1];
rz(3.5393099118152804e-08) q[1];
rx(0.7853981204877225) q[1];
cx q[4], q[0];
rz(-0.745769197587187) q[0];
cx q[4], q[0];
cx q[0], q[3];
rz(-0.745769197587187) q[3];
cx q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[0]... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZI",
"IIIZIIIZ",
"IIIIZIIZ",
"IIIIIZIZ",
"IIZZIIII",
"IIZIIZII",
"ZIIIZIII",
"IZIIZIII",
"IIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.457781 | [
-0.745769197587187,
3.539309937560311e-8,
0.7853981204877223
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 101 |
be5567089ea669cee1a7aa408c6e9375 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [340, 342], "expectation_value": -1.1937279713966495, "params": [[[1.1989, 0.5622], [0.3146, 0.7515000000000001], [1.1965000000000001, 1.1955], [1.2092, 1.1928], [1.2027, 1.2079], [1.2078, 1.2001000000000002], [1.2013, 1.2093], [1.2026000000000001, 0.0937], [1.2125000000000001, 1.1965000000000001]]], "bitstr... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(7) @ Z(3)) + 0.125 ... | 15 | 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], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.125, "smallest_bitstrings": ["010011100", "010011001", "100010110", "100011010", "010011010", "011010100", "011001001", "011000101", "010111... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(3.4051761076440845e-08) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(3.4051761076440845e-08) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(3.4051761076440845e-08) q[3];
cx q[2], q[3];
rz(-1.5707962957304016) q[2];
rx(-1.5707962257900... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIIZZZII",
"IIIIIIZIZ",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIZIIZIZ",
"IIZZIIIII",
"IZIIIIIZI",
"IIZIIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"IZZIIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IZZIIZIII",
"ZIZIIZIII",
"ZZIIIZIII",
"ZZZIIIIII",
"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
-0.25,
-0.5,
0,
0.125,
-0.25,
-0.25,
-0.125,
-0.125,
-0.125
] | 0.75 | [
3.4051761076440845e-8,
-1.570796295730401,
1.5715949956260666,
-1.5707962379665277,
-1.5707962257900674
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 224 |
366b890edf4c144f6141ff272a73bb47 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": ... | {"states": [1023, 511], "expectation_value": -0.3654807167709726, "params": [[0.059800000000000006], [-0.049300000000000004]], "bitstrings": ["0000000000", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0012074209038899608, 0.0012217072817587527], "optimization_time": 1.5940194129943848} | -1.5 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(1)) + -2.0 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(9) @ Z(1)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * Z(4) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(1) + 0.5 * Z(7) + 0.5 * Z(8) + 0.5 * Z(9) +... | 5 | 10 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rz(-3.1415925077472098) q[0];
ry(0.6308663773850823) q[0];
rz(-1.5707965074011527) q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(-0.5677918832241154) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(-0.5677918832241154) q[3];
cx q[4], q[3];
cx q[2], q[3];
rz(0.71620748... | 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[10] c;
qubit[10] 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];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[3];
... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIZZII",
"IIIZZIIIII",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZZIIIIIIII",
"IIIIIZIIII",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIIIIIIIZI",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIIIIIIZ"
] | [
-1.5,
-1.5,
0.5,
-1,
-1.5,
-2,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.43388 | [
-0.5677918832241154,
0.7162074872685954,
-0.9351460324519598,
-0.15398173942813242,
-1.5707964333245203,
-0.9399299494098221
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 173 |
f54caa9b778a52f87145d0b0be176473 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"s... | {"states": [0, 8191], "expectation_value": -70.23205028321162, "params": [[[0.0024000000000000002, 1.6132], [0.0025, 0.0026000000000000003], [-0.0033, 0.0023], [0.0019, 0.0022], [0.0026000000000000003, 0.0023], [0.0019, 0.0023], [0.0021000000000000003, 0.0021000000000000003], [0.0023, 0.0023], [0.002, 0.002], [0.0016, ... | -3.5 * (Z(0) @ Z(1)) + -3.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + -4.5 * (Z(4) @ Z(1)) + -4.5 * (Z(4) @ Z(0)) + -4.5 * (Z(4) @ Z(2)) + -4.0 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + 1.5 * (Z(5) @ Z(2)) + -4.5 * (Z(5) @ Z(4)) + -4.0 * (Z(6) @ Z(1)) + -4.0 * (Z(6) @ Z(0)) + 1.5 * (Z(6) @ Z(2)) + -4.5 * (Z(6) @ Z(4)) + ... | 15 | 13 | 1 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.5, "smallest_bitstrings": ["0000000000000"], "largest_eigenvalue": 63.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.039774228322693915) q[0];
ry(0.06450892914608859) q[1];
ry(-0.05429077324993505) q[2];
ry(0.11837921207323436) q[3];
ry(0.036203504946575926) q[4];
ry(0.11837921207323436) q[5];
ry(-0.035362737753314714) q[6];
ry(-0.05488692148676111) q[7];
ry(0.06052547553647796)... | 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[13] c;
qubit[13] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2]... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZIZ",
"IIIIIIIIZIIZI",
"IIIIIIIIZIIIZ",
"IIIIIIIIZIZII",
"IIIIIIIZIIIZI",
"IIIIIIIZIIIIZ",
"IIIIIIIZIIZII",
"IIIIIIIZZIIII",
"IIIIIIZIIIIZI",
"IIIIIIZIIIIIZ",
"IIIIIIZIIIZII",
"IIIIIIZIZIIII",
"IIIIIIZZIIIII",
"IIIIIIIIIZIZI",
"IIIIIIIIIZI... | [
-3.5,
-3.5,
-3,
-4.5,
-4.5,
-4.5,
-4,
-3.5,
1.5,
-4.5,
-4,
-4,
1.5,
-4.5,
2,
-4,
1.5,
1,
-4.5,
1.5,
-3,
2,
1.5,
0.5,
-4.5,
-4,
-4,
-3.5,
0.5,
0.5,
0.5,
-4.5,
1,
1,
1,
-3,
0.5,
-1.5,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,... | 0.970125 | [
0.039774228322693915,
0.06450892914608859,
-0.05429077324993505,
0.11837921207323436,
0.036203504946575926,
-0.035362737753314714,
-0.05488692148676111,
0.06052547553647796,
0.4252424799179233,
2.3769892777485877,
-0.05084104787755478
] | {
"n_parameters": 11,
"n_qubits": 13,
"optimal_eigenvalue": -75.5,
"target_ratio": 0.97,
"target_value": -73.235
} | 14 |
4b58c5f638de8a7d9440a4e0a8e21441 | 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": 1, "source": 1, "target": 5}, {"capacity": 2, "source": 1, "target":... | {"states": [1023, 1019], "expectation_value": -12.638709230955953, "params": [[[0.0531, 0.003], [-0.021400000000000002, -0.0026000000000000003], [-0.005, -0.0014], [-0.0112, 0.0019], [-0.0037, -0.0018000000000000002], [-0.033600000000000005, 0.0022], [0.012100000000000001, -0.0014], [0.25680000000000003, 0.0385], [0.81... | -0.75 * (Z(0) @ Z(8)) + -0.25 * (Z(1) @ Z(8)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(9) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.25 * (Z(5) @ Z(9)) + -0.25 * (Z(5) @ Z(3)) + -0.75 * (Z(10) @ Z(8)) + -1.0 * (Z(10) @ Z(6)) + -0.25 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(5)) + 1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(9)) + -0.25 * (Z(... | 15 | 11 | 2 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["10000000100"], "largest_eigenvalue": 13.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.21107121842922033) q[0];
ry(0.18916096343815425) q[1];
ry(0.06600465295445102) q[2];
ry(0.04718456337755721) q[3];
ry(0.06600465295445102) q[4];
ry(0.1081952050797346) q[5];
ry(-0.010618752628568297) q[6];
ry(0.005766764120116126) q[7];
ry(-1.487394369933252) 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[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIZ",
"IIZIIIIIIZI",
"IIIIZIIIIZI",
"IZIIIIIIIZI",
"IIIIZIIZIII",
"IZIIIZIIIII",
"IIIIIZIZIII",
"ZIZIIIIIIII",
"ZIIIZIIIIII",
"ZIIIIIIZIII",
"ZIIIIZIIIII",
"IIIIIIIIZIZ",
"IZIIIIIIZII",
"IIIIIIIZZII",
"IIIIZIZIIII",
"IZIIIIZIIII",
"ZIIIIIZIIII",
"IIIIIIZIZII",
"IZIZIIIII... | [
-0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75,
-1,
-0.25,
-0.5,
1,
-1,
-0.25,
-0.25,
-1,
-2,
-0.75,
-0.5,
-0.75,
-1.25,
-0.25,
0.5,
1,
-1.25,
0.25,
0.5,
-1,
-1,
1.25,
1.25
] | 0.973747 | [
0.21107121842922033,
0.18916096343815425,
0.06600465295445102,
0.04718456337755721,
0.1081952050797346,
-0.010618752628568297,
0.005766764120116126,
-1.487394369933252,
-0.6186505253602084,
0.05601349886846345,
0.46173926812550947,
0.03142391737470687,
-0.004241002603236191,
-0.03150147020... | {
"n_parameters": 69,
"n_qubits": 11,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 55 |
-8621533743706978632 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 5, 7], [0, 10, 4, 5], [4, 6], [2, 5, 6], [5, 6, 7, 10, 11], [9, 2, 6, 7], [9, 4, 1], [8, 1, 2, 7], [3, 11, 6, 7], [9, 3, 4, 7], [3, 6, 7, 9, 10], [2, 3, 7, 8, 11], [0, 6, 7, 9, 11], [0, 2, 3, 6, 10], [1, 11], [1, 5], [8, 1, 10, 6], [1, 3, 6, 7], [0, 1... | {"states": [3646, 3638], "expectation_value": -4.4798418708697465, "params": [1.5212, 1.6166, 1.347, 1.3476000000000001, 1.9791, 1.1509, 0.3607, 0.3584, -0.019, -0.0212, -0.011600000000000001, -0.0083, 1.5805, 1.5644, 1.5742, 1.5714000000000001, 0.7318, 0.7358, 1.6225, 1.5232, 1.6064, 1.5404, -0.0195, -0.02, 0.9604, 0.... | 0.3333333333333333 * (Z(2) @ Z(5)) + 0.21666666666666667 * (Z(7) @ Z(5)) + 0.3833333333333333 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.13333333333333333 * (Z(0) @ Z(2)) + 0.05 * (Z(0) @ Z(7)) + 0.13333333333333333 * (Z(10) @ Z(5)) + 0.05 * (Z(10) @ Z(2)) + 0.1 * (Z(10) @ Z(7)) + 0.13333333333333333 * (... | 13 | 12 | 1 | {"smallest_eigenvalues": [-4.800000000000002], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.500000000000001, "smallest_bitstrings": ["000111001001"], "largest_eigenvalue": 17.500000000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.6512318947873998) q[0];
rz(0.4763690777619275) q[0];
ry(1.633514538779504) q[1];
ry(1.8221128272738818) q[2];
ry(0.20317696937042212) q[3];
ry(-0.10198300376442727) q[4];
ry(-0.06579894049240777) q[5];
ry(1.5649433094949021) q[6];
ry(1.5856597487137005) q[7];
ry(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZII",
"IIIIZIZIIIII",
"IIIIZIIIIZII",
"IIIIIIZIIIIZ",
"IIIIIIIIIZIZ",
"IIIIZIIIIIIZ",
"IZIIIIZIIIII",
"IZIIIIIIIZII",
"IZIIZIIIIIII",
"IZIIIIIIIIIZ",
"IIIIIIZZIIII",
"IIIIZIIZIIII",
"IIIIIIIZIIIZ",
"IZIIIIIZIIII",
"IIIIIZZIIIII",
"IIIIIZIIIZII",
"IIIIZZIIIIII",
"IIIIIZIII... | [
0.3333333333333333,
0.21666666666666667,
0.3833333333333333,
0.08333333333333333,
0.13333333333333333,
0.05,
0.13333333333333333,
0.05,
0.1,
0.13333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.21666666666666667,
0.3,
0.3999999999... | 0.971187 | [
1.6512318947873998,
1.633514538779504,
1.8221128272738818,
0.20317696937042212,
-0.10198300376442727,
-0.06579894049240777,
1.5649433094949021,
1.5856597487137005,
0.6258480318427827,
1.7486160517079021,
1.5888474627123876,
-0.18022526766129376,
0.952738155523855,
0.044009926911605504,
0... | {
"n_parameters": 47,
"n_qubits": 12,
"optimal_eigenvalue": -4.800000000000002,
"target_ratio": 0.97,
"target_value": -4.6560000000000015
} | 7 |
-6989154005446686930 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 5], [0, 6], [2, 4], [3, 6]]} | {"states": [108, 120], "expectation_value": -0.0333481976057714, "params": [[0.07200000000000001], [-0.0585]], "bitstrings": ["0010011", "0000111"], "total_optimization_steps": 10, "probabilities": [0.008345071043082485, 0.008345071043082485], "optimization_time": 1.0520000457763672} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.0, "smallest_bitstrings": ["0010011", "1101100", "0100101", "0110001", "1011010", "1001110", "1111000", "0000111"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(1.2861933265712153) q[2];
cx q[4], q[2];
rz(-9.7080214978007e-09) q[2];
rx(-0.7853981665598924) q[2];
rz(-9.7080214978007e-09) q[4];
rx(-0.7853981665598924) q[4];
h q[5];
cx q[5], q[1];
rz(1.2861933265712153) q[1... | 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[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[6], q[3];
... | null | {"circuits": [], "gradients": []} | [
"IZIIIZI",
"ZIIIIIZ",
"IIZIZII",
"ZIIZIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.7872 | [
1.2861933265712153,
-9.708021595908805e-9,
-0.7853981665598924
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 100 |
fd959b015d7c5b50b2cd05831ed95a60 | matching | qaoa | {"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": [211, 122], "expectation_value": -22.696001346586584, "params": [[0.031, 0.0078000000000000005], [-0.0791, -0.0751]], "bitstrings": ["00101100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.011425517975971251, 0.014495333725086079], "optimization_time": 3.9261064529418945} | 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) ... | 1 | 8 | 2 | {"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 |
e83459ec898a9e90a39bc26be9e5667d | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"sour... | {"states": [161, 225], "expectation_value": -7.008996620852383, "params": [[-0.024800000000000003, 1.2504, 0.4289, 1.3675000000000002, 0.0027, 0.0027, -0.0035, 0.0018000000000000002, 1.0416], [0.016, 0.7756000000000001, 0.011600000000000001, 0.6252, 0.0028, -0.0033, 0.00030000000000000003, 0.003, 1.0712000000000002], [... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(8) ... | 10 | 9 | 2 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -6.5, "smallest_bitstrings": ["100011110", "110100110", "010011110", "010110110", "110001110"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.04352180394895614) q[0];
ry(1.2072577831640785) q[1];
ry(0.64600443983128) q[2];
ry(1.5380759298087472) q[3];
ry(0.04712030080121397) q[4];
ry(0.04712030080121397) q[5];
ry(0.011650959924126618) q[6];
ry(0.002466788047301903) q[7];
ry(1.0605387621474982) q[8];
cz ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIZIIII",
"IZIIIIIIZ",
"IZIIZIIII",
"IIIZIIIZI",
"IIZZIIIII",
"IZIIIIZII",
"IIZIIZIII",
"IZIIIZIII",
"IIIZIZIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
-2.5,
-2,
-1,
0,
-1,
-0.5
] | 0.970153 | [
-0.04352180394895614,
1.2072577831640785,
0.64600443983128,
1.5380759298087472,
0.04712030080121397,
0.011650959924126618,
0.002466788047301903,
1.0605387621474982,
0.04600057615283212,
0.5902897296758711,
0.028537940749606985,
0.3790302123518097,
0.044682156966506834,
-0.03907061081063921... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 12 |
094c21a567eedc9b0544914371dc9998 | 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}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": ... | {"states": [1023, 1022], "expectation_value": -3.1609049723455565, "params": [[-0.046], [0.0562]], "bitstrings": ["0000000000", "0000000001"], "total_optimization_steps": 10, "probabilities": [0.0018602295273844557, 0.001879529425295918], "optimization_time": 1.2132668495178223} | -3.5 * (Z(0) @ Z(3)) + 1.0 * (Z(5) @ Z(3)) + -3.0 * (Z(5) @ Z(0)) + 1.0 * (Z(6) @ Z(3)) + -4.0 * (Z(6) @ Z(0)) + 1.0 * (Z(6) @ Z(5)) + -3.0 * (Z(8) @ Z(3)) + -3.0 * (Z(8) @ Z(0)) + -3.0 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + -2.5 * (Z(1) @ Z(6)) + 0.5 *... | 1 | 10 | 1 | {"smallest_eigenvalues": [-42.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -41.5, "smallest_bitstrings": ["0000000001"], "largest_eigenvalue": 38.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.5328121734964022) q[0];
cx q[3], q[0];
h q[4];
h q[5];
cx q[3], q[5];
rz(0.25263276255427825) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(0.6087210124373932) q[5];
cx q[0], q[5];
h q[6];
cx q[3], q[6];
rz(0.252632762554278... | 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[10] c;
qubit[10] 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": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIZIIZIII",
"IIIZIIIIIZ",
"IIIZZIIIII",
"IZIIIIZIII",
"IZIIIIIIIZ",
"IZIIZIIIII",
"IZIZIIIIII",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIIZIIIZI",
"IIIZIIIIZI",
"IZIIIIIIZI",
"IIIIIIZZII",
"IIIIIIIZIZ",
"IIIIZIIZII",
"IIIZIIIZII",
"IZIIIIIZII"... | [
-3.5,
1,
-3,
1,
-4,
1,
-3,
-3,
-3,
1,
0.5,
0.5,
0.5,
-2.5,
0.5,
-3.5,
1.5,
0.5,
-3.5,
-3.5,
-3,
0.5,
1,
-3.5,
-3.5,
0.5,
-3,
1,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.526642 | [
0.5328121734964022,
0.25263276255427825,
0.6087210124373932,
0.361463275018582,
0.169631693660652,
0.7721883297262973,
0.3027856264707631,
1.5707963446703674,
1.012453341456965
] | {
"n_parameters": 9,
"n_qubits": 10,
"optimal_eigenvalue": -42.5,
"target_ratio": 0.97,
"target_value": -41.225
} | 260 |
ee818e8b77e87d0e69dea2e46f987917 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": ... | {"states": [248, 1016], "expectation_value": -1.1521202082316226, "params": [[-0.0574], [0.0722]], "bitstrings": ["1100000111", "0000000111"], "total_optimization_steps": 10, "probabilities": [0.0015751280370111546, 0.0016259933979928332], "optimization_time": 2.384780168533325} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(2)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["0000000111"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.5929828599927902) q[0];
cx q[1], q[0];
rz(0.024285097694327185) q[0];
rx(0.9916528413789296) q[0];
rz(0.024285097694327185) q[1];
rx(0.9916528413789296) q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(0.9649497147618795) q[2];
cx q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[10] c;
qubit[10] 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];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIZII",
"IIIIZZIIII",
"IIIIZIIZII",
"IIIZIZIIII",
"IIIZIIIZII",
"IIIZZIIIII",
"IIIIIIZZII",
"IIIIZIZIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIIIIIZIII",
"IZIIIIIIII"... | [
-1,
-2,
0.5,
-2.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
-2,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1.5,
-1.5,
-1.5
] | 0.576347 | [
1.5929828599927902,
0.9649497147618795,
0.024285097694327285,
0.3067860577408451,
0.7182962931950809,
0.08339071927130128,
0.9916528413789296
] | {
"n_parameters": 7,
"n_qubits": 10,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 202 |
4593286d131e643309f088c8c3f9f810 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [5, 7], "expectation_value": -6.024870804623124, "params": [[-0.1037, -0.0004, -0.0008, 0.0076, 0.0022, 0.0931, 0.8963000000000001, -0.0441, 0.899], [-0.10940000000000001, 0.0046, 0.0011, -0.0022, 0.0041, -0.10110000000000001, 0.8946000000000001, 0.8812000000000001, 0.8951], [0.1908, 0.0055000000000000005, 0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) ... | 10 | 9 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -5.5, "smallest_bitstrings": ["110110110", "100110111", "111010110", "001111011", "111100101", "011111001", "111110100", "111000111", "011001111", "111111000", "0111... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.18052507590516292) q[0];
rz(1.871429810690464) q[0];
rx(0.06487626084138967) q[1];
rz(1.9439048232108957) q[1];
rx(0.043570692760350895) q[2];
rz(1.3842191612184847) q[2];
rx(-0.20079383337432777) q[3];
rz(2.415906628952351) q[3];
rx(-0.1722854392715986) q[4];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIIIZ",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIZII",
"ZIIIZIIII",
"IIIIZIIZI",
"IZIIIIZII",
"IZIIIIIZI",
"IZIIIZIII",
"IIZIIIZII",
"IIZZIIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-0.5,
-1,
-1.5,
-1.5,
-1.5,
-1,
-1.5
] | 0.970704 | [
0.18052507590516295,
0.3006334838955679,
0.06487626084138969,
0.3731084964159991,
0.04357069276035091,
-0.18657716557641196,
-0.20079383337432774,
0.8451103021574549,
-0.17228543927159856,
0.3096019216491958,
0.9523968206535531,
-0.2470495557574001,
1.7820499397696128,
-0.19525354574339157... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 26 |
6771b778b0f6a5f528500d957ca14d09 | 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": [697, 681], "expectation_value": -55.1929796399458, "params": [1.1009, 0.13040000000000002, 0.6919000000000001, 0.31320000000000003, 1.0993, 0.0205, 0.001, 0.7399, 1.1024, 0.1545, 0.7447, 0.3476, 1.1058000000000001, 0.1173, 0.5291, 0.30210000000000004, 0.6131, 0.5323, 1.1011, 0.1945, 1.1036000000000001, 0.00... | 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(4) @ Z(6)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(7) @ Z(2)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(8) @ Z(0)) + 6.0 * (Z(9) @ Z(0)) + 6.0 * (Z(9) @ Z(8)) + 22.0 * Z(0) + 21.0 * Z(2) + 2.5 * ... | 18 | 10 | 2 | {"smallest_eigenvalues": [-109.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -99.0, "smallest_bitstrings": ["0101010110"], "largest_eigenvalue": 164.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.71527956322697) q[0];
ry(0.18241547377065442) q[1];
ry(1.2730116026119673) q[2];
ry(0.05040298534722133) q[3];
ry(0.8619046078111914) q[4];
ry(0.22494226048934834) q[5];
ry(0.8767941422670104) q[6];
ry(-0.06785988006324416) q[7];
ry(0.7892404449258545) q[8];
ry(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIZIIIZII",
"IIIZIZIIII",
"IIIIIZZIII",
"IIIZZIIIII",
"IIIIZZIIII",
"IIZIIIIZII",
"IIZZIIIIII",
"IZIIIIIIIZ",
"ZIIIIIIIIZ",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIZIIIIII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
22,
21,
2.5,
20,
13.5,
-3.5,
3,
0.5,
1,
6
] | 0.970518 | [
0.71527956322697,
0.18241547377065442,
1.2730116026119673,
0.05040298534722133,
0.8619046078111914,
0.22494226048934834,
0.8767941422670104,
-0.06785988006324416,
0.7892404449258545,
0.16834630794661493,
0.032333133843519296,
0.02080444310798996,
0.04428542828836836,
0.04813998150614826,
... | {
"n_parameters": 80,
"n_qubits": 10,
"optimal_eigenvalue": -109,
"target_ratio": 0.97,
"target_value": -105.73
} | 88 |
3a47978bfb976fd6248810daacdb4903 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [0, 596], "expectation_value": -3.273862440598939, "params": [0.6992, 0.0165, 0.7036, 0.0029000000000000002, 0.4597, 0.009000000000000001, -0.3655, 0.003, -0.3239, -0.0005, 0.2499, 0.006500000000000001, 0.7082, 0.014400000000000001, 0.7071000000000001, 0.0037, 0.7017, -0.1073, 0.6353, 0.007, 0.6992, 0.0184, ... | -0.5 * (Z(9) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(4)) + 1.0 * (Z(8) @ Z(7)) + -0.... | 6 | 10 | 1 | {"smallest_eigenvalues": [-6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.0, "smallest_bitstrings": ["0111001101", "0111001011", "0110101101", "0110101011", "0110010001", "0110000000"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.6566433803157805) q[0];
rz(-0.5635484037530434) q[0];
rx(-0.08458123676006576) q[1];
rz(1.1774379964221435) q[1];
rx(0.05460809018472292) q[2];
rz(-0.2485327778063438) q[2];
rx(2.1111802145115894) q[3];
rz(0.24582046501630292) q[3];
rx(0.23032023843005026) 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": 5} | {"circuits": [], "gradients": []} | [
"ZIIIIIZIII",
"IIIIIZZIII",
"ZIIIIZIIII",
"IIIIZIZIII",
"ZIIIZIIIII",
"IIIIZZIIII",
"IIZIIIZIII",
"IIZIIZIIII",
"ZIIZIIIIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IZIIIIZIII",
"IZIIIZIIII",
"IZZIIIIIII",
"IZIZIIIIII",
"ZIIIIIIIIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIIIIZZI",
"IIIIIIZIII"... | [
-0.5,
1,
-0.5,
0.5,
-1,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
-0.5,
1,
-0.5,
-0.5,
0.5,
0.5,
-0.16666666666666666,
1,
-2,
1,
2,
0.5,
0.5,
0.5,
0.8333333333333334,
-0.3333333333333333,
-0.3333333333333333
] | 0.972111 | [
1.6566433803157805,
-0.19670393659137253,
-0.08458123676006576,
1.1774379964221435,
0.05460809018472292,
-0.2485327778063438,
2.1111802145115894,
0.24582046501630292,
0.23032023843005026,
0.31345605388271675,
1.0081605341475985,
-0.16074160645590554,
0.020028144123884657,
0.288359995550519... | {
"n_parameters": 51,
"n_qubits": 10,
"optimal_eigenvalue": -6.666666666666666,
"target_ratio": 0.97,
"target_value": -6.466666666666666
} | 34 |
a496643cb2e08d855373b91d187c0135 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 6, "source": 0, "t... | {"states": [94, 93], "expectation_value": -12.058874762016348, "params": [[-0.043300000000000005, -0.0344], [0.0668, 0.0707]], "bitstrings": ["10100001", "10100010"], "total_optimization_steps": 10, "probabilities": [0.012740274094428294, 0.014893137686220899], "optimization_time": 2.7202517986297607} | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 3.0 * Z(0) + 6.0 * Z(1) + 1.5 * Z(2) + 10.0 * Z(4) + 10.5 * Z(3) + 10.5 * Z(5) + 8.0 * Z(6) + 12.0 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-54.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -48.5, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 106.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(-0.013073846050879977) q[1];
cx q[0], q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.013073846050879977) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(-0.013073846050879977) q[3];
cx q[2], q[3];
rz(-1.577151906161621) q[2];
rx(-1.558957801... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIZII",
"IIIIZZII",
"IIIZZIII",
"IIZIIIIZ",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
3,
6,
1.5,
10,
10.5,
10.5,
8,
12
] | 0.980179 | [
-0.013073846050879977,
-1.2914686192920426,
1.5897659140495197,
-1.5771519061616204,
1.2839791499377913,
1.711496406988009,
-1.3676435003029348,
1.5144477928027038,
-1.5589578012410836
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -54.5,
"target_ratio": 0.97,
"target_value": -52.865
} | 34 |
-167842880635178175 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 3, 4, 6], [1, 2, 5, 6], [1, 2, 3, 4, 5], [0, 2, 5], [0, 1, 3, 4, 5], [0, 2, 6], [0, 1, 2, 4]]} | {"states": [107, 103], "expectation_value": -0.9355713030063929, "params": [[0.34640000000000004], [-0.33580000000000004]], "bitstrings": ["0010100", "0011000"], "total_optimization_steps": 40, "probabilities": [0.01799992306391712, 0.01835219881322958], "optimization_time": 2.146409749984741} | 0.13333333333333333 * (Z(0) @ Z(3)) + 0.18333333333333335 * (Z(4) @ Z(3)) + 0.21666666666666667 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.1 * (Z(1) @ Z(3)) + 0.13333333333333333 * (Z(1) @ Z(0)) + 0.18333333333333335 * (Z(1) @ Z(4)) + 0.0833333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7333333333333334, "smallest_bitstrings": ["0011000"], "largest_eigenvalue": 7.000000000000002} | 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(0.010141560985834599) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.2618295139354157) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.058074239937549677) q[4];
cx q[0], q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(0.0815068034976... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"ZIIZIII",
"ZIIIIIZ",
"ZIZIIII",
"IIIZIZI",
"IIIIIZZ",
"IIZIIZI",
"ZIIIIZI",
"IIIZZII",
"IIIIZIZ",
"IIZIZII",
"ZIIIZII",
"IIIIZZI",
"IZIZIII",
"IZIIIIZ",
"IZZIIII",
"ZZIIIII",
"IZIIIZI",
"IZIIZII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"ZII... | [
0.13333333333333333,
0.18333333333333335,
0.21666666666666667,
0.08333333333333333,
0.25,
0.08333333333333333,
0.1,
0.13333333333333333,
0.18333333333333335,
0.08333333333333333,
0.05,
0.41666666666666663,
0.13333333333333333,
0.25,
0.21666666666666667,
0.1,
0.21666666666666667,
0.... | 0.711673 | [
0.010141560985834599,
0.2618295139354157,
0.058074239937549677,
0.08150680349761463,
0.26195998525634956,
-0.0313924744757348,
-0.004941951564918397,
-0.11331981887924181,
0.06758656444124739,
1.465265473094774,
1.5344973103253214,
0.7045983109789166,
-1.5040239161168765,
-1.26191217631592... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -1.8166666666666667,
"target_ratio": 0.97,
"target_value": -1.7621666666666667
} | 439 |
a653bf4ae13dff24b4aa2c23cb3a7ee5 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [165, 167], "expectation_value": -2.973447953789952, "params": [0.8003, -0.003, -0.0014, 0.4766, 0.8016000000000001, 0.0806, 0.2605, 0.542, 0.2495, 0.4677, 0.8084, 0.311, 0.7966000000000001, 0.0044, 0.7991, 0.0039000000000000003, 0.8054, 0.0014, -0.001, 0.0, 0.8003, 0.0041, 0.24700000000000003, 0.0092, 0.239... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * Z(1) + 0.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) + 0.0 * Z(7) + 0.0 * Z(2) + -0.5 * Z(6) | 3 | 8 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["01011000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.653322853489792) q[0];
rz(0.09355882871518695) q[0];
rx(-0.2804259164359821) q[1];
rz(0.2408595215191749) q[1];
rx(1.4483823444829775) q[2];
rz(0.26626439552299397) q[2];
rx(-0.26407452762380274) q[3];
rz(0.36597189511060435) q[3];
rx(0.07611852222413691) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIZIIZI",
"IIZIIIZI",
"IIZZIIII",
"ZIIIIIZI",
"IIIIZZII",
"IZIIZIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-1,
-1,
-0.5,
0,
0,
-0.5
] | 0.977146 | [
1.653322853489792,
0.10304297915117537,
-0.280425916435982,
0.320762295481102,
1.4483823444829778,
-0.025477798068623186,
-0.2640745276238026,
0.5661614357553592,
0.07611852222413693,
0.2905015179964481,
1.4026499314901049,
0.38046482150051,
1.578121790924954,
0.16830511497539152,
1.8651... | {
"n_parameters": 44,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 19 |
eb532b3fe9f318ccb3658a6712436b91 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "source": 0, ... | {"states": [0, 1], "expectation_value": -8.551836424828089, "params": [0.0028, 0.4258, 0.0026000000000000003, 0.31170000000000003, 0.005200000000000001, 0.3221, -0.0013000000000000002, 0.0339, 0.0036000000000000003, 0.36760000000000004, -0.0927, 0.3393, 0.0016, 0.457, 0.6028, -0.0017000000000000001, 0.0038, 0.431100000... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -... | 4 | 8 | 3 | {"smallest_eigenvalues": [-11.25, -11.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110", "11111010"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.06974099551047935) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.5890406829503434) q[1];
rz(-pi) q[2];
ry(-0.0021096615779952286) q[2];
ry(-0.008898726702413838) q[3];
rz(-pi) q[3];
rz(-pi) q[4];
ry(-0.15495898986146583) q[4];
h q[5];
h q[6];
ry(-1.5890406829503434) q[6];
h q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"ZIIIIIIZ",
"ZIIIIZII",
"IIIIZZII",
"IIIZZIII",
"IZIIZIII",
"IIZIIIZI",
"IIZIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZIII",
"IIZIIIII"
] | [
-0.5,
-0.5,
-0.75,
-0.25,
-0.25,
-1,
2.75,
-1,
-0.75,
-0.5,
-0.5,
-0.75,
-0.25,
-1.5,
-0.25,
-0.25,
-0.75,
-0.75,
1.75,
0.75,
1
] | 0.995387 | [
1.4393368061031235,
-1.4512118663580789,
-1.5890406829503434,
-1.7277524128220563,
-1.5364768252188215,
-1.6101287227830505,
-0.07285832630814085,
-0.09968692985267691,
-0.03243337430224796,
0.003994192331387751,
0.0964622453811357
] | {
"n_parameters": 11,
"n_qubits": 8,
"optimal_eigenvalue": -11.25,
"target_ratio": 0.97,
"target_value": -10.9125
} | 1 |
-4590945136126999460 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4], [0, 1], [0, 2], [3, 7], [0, 4], [5, 7], [0, 7], [3, 5], [2, 7], [2, 5], [0, 3], [6, 7]]} | {"states": [150, 134], "expectation_value": -2.6848102002627066, "params": null, "bitstrings": ["01101001", "01111001"], "total_optimization_steps": 62, "probabilities": [0.2491449769717991, 0.4377940662576461], "optimization_time": 93.83822441101074} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.0, "smallest_bitstrings": ["10000110", "01001101", "10001110", "10000101", "01101001", "10110010", "01110001", "01110010", "10001101", "10010110", "01111010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(-0.6202683516639759) q[1];
h q[2];
ry(-0.6566442533295676) q[2];
h q[3];
h q[4];
ry(-0.13897874140732927) q[4];
cx q[0], q[4];
ry(0.13897874140732927) q[4];
cx q[0], q[4];
ry(1.555720878916397) q[0];
cx q[0], q[1];
ry(0.6202683516639759) q[1];
cx q[0]... | 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[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] = me... | [
"IIIZZIII",
"IIIZIIIZ",
"IIIIZIIZ",
"IIIIIIZZ",
"IIIIIZIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIIIIZII",
"IIZIZIII",
"IIZIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIZIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.973708 | [
-0.27795748281465854,
1.555720878916397,
-1.2405367033279517,
-0.765129471396,
-0.6741724042235383,
1.261475547175659,
-1.313288506659135,
1.144455587004279,
-0.5359399949561519,
0.534126262427554,
0.07768311372843642,
0.20607406100733605,
-0.5847614822486443,
0.3606369717141199,
-0.3361... | {
"n_parameters": 54,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 19 |
c86f9ec7eec6446b2b675d70d15f99d1 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"source": ... | {"states": [1023, 511], "expectation_value": -0.19586883322210452, "params": [[0.0584], [-0.047400000000000005]], "bitstrings": ["0000000000", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0011461899050288558, 0.001158928544130876], "optimization_time": 1.3402585983276367} | -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(5)) + -1.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(1)) + -1.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(1) + 0.5 * Z(8) + 0.5 * Z(9) + -0.5 * Z(0) | 5 | 10 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rz(-0.5189434641081592) q[0];
ry(2.4178374830412526e-08) q[0];
rz(2.0897397909030557) q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-3.141592662259253) q[2];
cx q[3], q[2];
rz(-1.57079634536655) q[2];
rx(-1.5707963477900353) q[2];
rz(-1.57079634536655) q[3];
rx(-1.57... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[10] c;
qubit[10] 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];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[5], q[4];
rz(x0) q[4];
cx q[5]... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIZZII",
"IIIIZZIIII",
"IIZZIIIIII",
"IZIIIIIIZI",
"ZIIIIIIIZI",
"ZZIIIIIIII",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"IIIIIIIIZI",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIIIIIIZ"
] | [
-1,
-1,
-1,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.619048 | [
-3.141592662259253,
-1.5707963630801334,
-1.5707963453665497,
-1.5707963387864754,
-1.5707963477900353
] | {
"n_parameters": 5,
"n_qubits": 10,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 152 |
533ab2adcbe5152fab412f1fabcd1780 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [42, 43], "expectation_value": -6.264902470630766, "params": [[[-0.002, -0.2701], [0.0018000000000000002, 0.24250000000000002], [0.5055000000000001, 0.0033], [0.0007, 0.27540000000000003], [0.49810000000000004, 0.001], [-0.0056, -0.2631], [0.5086, 0.0041], [0.45180000000000003, 0.002]], [[-0.0082, -0.2682], ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["11010100"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.2494556315091927) q[0];
ry(0.06814179934425167) q[0];
rz(-1.9626724796458523) q[0];
rz(-1.9876234560387596) q[1];
ry(0.05308639993752348) q[1];
rz(2.221247124979688) q[1];
rz(1.1308067863149525) q[2];
ry(2.7646601444826184) q[2];
rz(-1.9906301522175838) q[2];
rz(-1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIZIIIII",
"IIIIIZZI",
"IIZIIZII",
"IIIZZIII",
"IIZIZIII",
"ZIIIZIII",
"IIIIZZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIIZII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-2,
-1,
-2,
-0.5,
-1.5,
-1,
-1.5
] | 0.971746 | [
0.11242146985832793,
-0.2516526063984128,
-0.1048016009045389,
0.13866563251912284,
0.8282659552623926,
-0.06795141989128639,
0.039259481536922186,
0.29986211218571057,
0.5944965408820966,
0.003479307820902444,
-0.14392998966205606,
-0.24073222882174417,
0.799647268292398,
0.12823621165624... | {
"n_parameters": 55,
"n_qubits": 8,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 9 |
c12dc8bfc0d8e8bc2e65cda825a741ab | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 2}]} | {"states": [8, 4], "expectation_value": -0.284393499926783, "params": [[0.1531, 0.12140000000000001], [-0.1553, -0.1283]], "bitstrings": ["0111", "1011"], "total_optimization_steps": 20, "probabilities": [0.08122473949017522, 0.0812247394901753], "optimization_time": 1.5458557605743408} | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -0.5 * Z(3) + 0.16666666666666674 * Z(0) + 0.16666666666666674 * Z(1) + -0.16666666666666666 * Z(2) | 1 | 4 | 2 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.9999999999999999, "smallest_bitstrings": ["1011"], "largest_eigenvalue": 2.3333333333333335} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.98693634562561) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.5702754027205156) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.5702754027205152) q[1];
rx(0.1809670407241956) q[1];
rz(-0.0605909341297176) q[2];
cx q[0], q[2];
rz(0.5702754... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(x0) q[0];
... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} | [
"ZIIZ",
"ZIZI",
"IIZZ",
"ZIII",
"IIIZ",
"IIZI",
"IZII"
] | [
-0.5,
-0.5,
0.33333333333333337,
-0.5,
0.16666666666666674,
0.16666666666666674,
-0.16666666666666666
] | 0.970753 | [
0.98693634562561,
0.5702754027205156,
-0.0605909341297176,
0.01052034470793032,
0.1809670407241956,
-0.4210489548362983,
0.17941461010927579,
-0.5310091518833534,
-0.24571524346239182,
1.169259756964969,
0.8653272313101511,
0.8751350731179494,
-0.4970495411829845,
-1.6475907910109493,
1.... | {
"n_parameters": 15,
"n_qubits": 3,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 68 |
1933e8b73d4f27169594b5a37f23f4e2 | 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": [1957, 949], "expectation_value": -0.0007833728129135048, "params": [[0.0019, 0.0025, 0.0078000000000000005, 0.006500000000000001, 0.0002, 0.0002, 0.0057, 0.0063, 0.0013000000000000002, 0.0021000000000000003, 0.0024000000000000002], [0.0034000000000000002, 0.0041, 0.0012000000000000001, 0.009600000000000001,... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(6) @ Z(3) @ Z(4)) + -0.125 * (Z(... | 9 | 11 | 3 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.625, "smallest_bitstrings": ["10000101001", "10010001001", "01000101010", "01000011010", "0101000101... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.8785617532809386) q[0];
rz(1.5021759791746723) q[0];
rx(0.18750221656773378) q[1];
rz(1.610386357447335) q[1];
rx(0.6526873554626819) q[2];
rz(1.5639732718255024) q[2];
rx(-0.012452119729280793) q[3];
rz(1.6670235805521898) q[3];
rx(0.18135410988127476) q[4];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIZIIZIII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIZZZIII",
"IIIIZIZZIII",
"IIIIZZIZIII",
"IIIIZZZIIII",
"IIIIZZZZIII",
"IIIIIIIZIIZ",
"IIZIIIIIIIZ",
"IZIIIIIIIIZ",
"IIZIIIIZI... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
... | 0.98096 | [
0.8785617532809387,
-0.06862034762022431,
0.18750221656773375,
0.03959003065243816,
0.6526873554626819,
-0.006823054969394506,
-0.012452119729280793,
0.09622725375729248,
0.18135410988127476,
-0.46988664665471536,
-0.0942321217772507,
0.12610127432036736,
0.7918857798860538,
-0.11918754873... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 10 |
339a57bb1c23f4470580bb80982f1c3f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [82, 90], "expectation_value": -0.011970393721532524, "params": [[0.0131, -0.014], [-0.020200000000000003, 0.0019]], "bitstrings": ["0101101", "0100101"], "total_optimization_steps": 10, "probabilities": [0.00786667385917227, 0.007883362381595817], "optimization_time": 2.929898500442505} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(4) + -0.5 * Z(0) + -2.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(1) + -0.5 * Z(5) + 0.0 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0100101"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.24399435750260243) q[0];
cx q[4], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(-0.24399435750260243) q[6];
cx q[4], q[6];
cx q[0], q[6];
cx q[4], q[2];
rz(-0.24399435750260243) q[2];
cx q[4], q[2];
rz(-0.4570477093... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"IIZIZII",
"ZIIIZII",
"IIIIZZI",
"ZZIIIII",
"IZIIIZI",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIZII",
"IIIIIZI",
"IZIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-2,
-1,
-0.5,
-0.5,
0
] | 0.725215 | [
-0.24399435750260243,
-0.45704770933237593,
-0.01048511914444058,
-1.983428147922709,
1.0355564279624263,
-1.696110385038197,
0.47323241007407796,
-0.7393798823739974,
-0.30298022667189894,
-4.559184617511286,
-0.6465996571458984
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 455 |
875968458025282292 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 3, 4], [1, 6], [2, 3, 7], [0, 2], [0, 1, 8, 7], [5, 6], [3, 6], [1, 3, 7], [3, 4, 5], [1, 3, 5, 9], [9, 6], [8, 2], [5, 7], [0, 1, 4, 5], [6, 7], [2, 6], [1, 2, 4, 5], [1, 4, 5, 9], [2, 4, 7], [9, 4, 7]]} | {"states": [501, 469], "expectation_value": -4.183318453580387, "params": [0.5807, 0.5634, 1.3899000000000001, 1.3924, 1.3906, 1.3915, 1.393, 1.3879000000000001, 0.8853000000000001, 0.7662, 1.3855000000000002, 1.3868, 0.14730000000000001, 0.1438, 1.3919000000000001, 1.3902, 1.076, 1.1405, 1.3966, 1.3957000000000002, 0.... | 0.25 * (Z(9) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.41666666666666663 * (Z(4) @ Z(9)) + 0.25 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(9)) + 0.25 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.083333333... | 14 | 10 | 1 | {"smallest_eigenvalues": [-5.666666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.25, "smallest_bitstrings": ["1000101010"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.20999181945920198) q[0];
rz(pi/2) q[0];
ry(1.4347474192919658) q[1];
ry(2.484280335876912) q[2];
ry(2.372679193988585) q[3];
ry(-0.28380452821801516) q[4];
ry(0.5160290486936394) q[5];
ry(0.2831697521200386) q[6];
ry(0.5185357612683508) q[7];
ry(2.236925956801156... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIIIIZZIII",
"ZIIIIZIIII",
"IIIIIIZIZI",
"ZIIIIIIIZI",
"IIIIIZIIZI",
"IIIZIIZIII",
"ZIIZIIIIII",
"IIIZIIIIZI",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIIIZZI",
"IIIZIIIZII",
"IIZIIIZIII",
"ZIZIIIIIII",
"IIZIIZIIII",
"IIZIIIIIZI",
"IIZZIIIIII",
"IIZIIIIZII",
"IIIIIZIIIZ"... | [
0.25,
0.3333333333333333,
0.41666666666666663,
0.25,
0.16666666666666666,
0.25,
0.5,
0.5,
0.5,
0.16666666666666666,
0.25,
0.08333333333333333,
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.25,
0.5,
0.3333333333333333,
0.08333333333333333,
0.1666666666666... | 0.973986 | [
-0.20999181945920198,
1.4347474192919658,
2.484280335876912,
2.372679193988585,
-0.28380452821801516,
0.5160290486936394,
0.2831697521200386,
0.5185357612683508,
2.236925956801156,
1.51635645660041,
-0.05917183630409009,
1.097342759898505,
-1.0995280436402277,
0.3034051897479244,
-0.1895... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -5.666666666666666,
"target_ratio": 0.97,
"target_value": -5.496666666666666
} | 56 |
ddb99be20db0fe1daf7464e04f7461b4 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 2}, {"weight": 19, "source": 0, "target": 8}, {"weight":... | {"states": [500, 436], "expectation_value": -79.62460679989441, "params": [0.10450000000000001, 0.15410000000000001, 0.10690000000000001, 0.1535, 0.395, 0.028300000000000002, 0.3925, 0.0238, 0.3904, -0.001, 0.3945, 0.0027, 0.18380000000000002, 0.1017, 0.1844, 0.1018, 0.3919, 0.0151, 0.3916, 0.0313, 0.3874, -0.001200000... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(9) @ Z(4)) + 18.0 * Z(1) + 2.5 * Z(0) + 15.0 * ... | 7 | 10 | 4 | {"smallest_eigenvalues": [-96.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["1001001011"], "largest_eigenvalue": 162.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.22138058992755547) q[0];
rz(0.21866580864900564) q[0];
rx(0.41958671740470804) q[1];
rz(0.033334510809291645) q[1];
cx q[1], q[0];
rz(-0.06547890243519944) q[0];
cx q[1], q[0];
rz(-1.5333462421327062) q[0];
ry(0.08315985046356422) q[0];
rz(2.3229253578367413) q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IZZIIIIIII",
"ZIIIIIIZII",
"ZIIIIZIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
18,
2.5,
15,
9.5,
12,
14,
4.5,
15,
-5,
5
] | 0.977265 | [
0.2213805899275555,
0.15318690621380632,
0.41958671740470804,
0.033334510809291645,
0.3975758927107487,
0.02115573778201672,
-0.22321215984553283,
-0.09982135136897288,
0.19055525189957356,
-0.002577532006667216,
0.2863772042607701,
0.21470490084736732,
0.0677398183794943,
0.33427886364602... | {
"n_parameters": 181,
"n_qubits": 10,
"optimal_eigenvalue": -96,
"target_ratio": 0.97,
"target_value": -93.12
} | 28 |
ba516fd0ce7824e6228356c5f232cfab | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [9, 3], "expectation_value": -28.663102579445237, "params": null, "bitstrings": ["1110110", "1111100"], "total_optimization_steps": 64, "probabilities": [0.15144164514219186, 0.6366779421152876], "optimization_time": 86.37965607643127} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + ... | 9 | 7 | 4 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.16804737694979255) q[0];
rz(0.2082288294493435) q[0];
rx(0.15075704403065596) q[1];
rz(0.3081286351501191) q[1];
rx(-0.015577567956415184) q[2];
rz(0.2761028885907031) q[2];
rx(0.051898684280336976) q[3];
rz(0.6464979825533907) q[3];
rx(-0.06236402491160774) q[4];
... | null | {"k": 5} | {"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(5.3058) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
2.75,
3,
3,
3,
2.75,
2.75,
3,
3,
-10,
-10,
-10.5,
-10.5,
-10,
-9.5,
-9.5
] | 0.970246 | [
0.16804737694979255,
0.12269839746206923,
0.15075704403065598,
0.3741847015101376,
-0.015577567956415184,
0.3742638042105089,
0.051898684280336976,
0.5257644350645199,
-0.06236402491160774,
0.18361076482660355,
0.4922950906627197,
0.16963751239899966,
0.68348045398206,
0.11277220593759216,... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 6 |
-1098029216507613742 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3], [3, 6], [0, 4], [1, 6], [0, 5]]} | {"states": [104, 46], "expectation_value": -2.1090891697065732, "params": null, "bitstrings": ["0010111", "1010001"], "total_optimization_steps": 48, "probabilities": [0.048021734577520056, 0.6671272484485413], "optimization_time": 33.66040515899658} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["0101110", "0010111", "1101000", "1010001"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.07447625143313834) q[0];
h q[1];
h q[2];
ry(-0.07447625143313834) q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
ry(0.07447625143313834) q[0];
cx q[5], q[0];
ry(-0.17017199182888104) q[0];
cx q[4], q[0];
ry(0.17017199182888104) q[0];
cx q[4], q[0];
ry(-0.926... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[3], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIIZZII",
"ZIIZIII",
"IIZIIIZ",
"ZIIIIZI",
"IZIIIIZ",
"IIIZIII",
"IIIIZII",
"ZIIIIII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.97144 | [
-0.14895250286627668,
1.4874729542632992,
-0.5553247034252545,
1.3651423718081286,
1.6189793454001924,
-0.3403439836577621,
1.0703152671579224,
-0.8446771146598355,
0.3330891402986202,
-0.7553701859716849,
0.03674119825657759,
-1.0075254566809904,
0.17035755857869822,
0.77145910795843,
-... | {
"n_parameters": 38,
"n_qubits": 7,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 52 |
206b6c7126e1a43a7c0a57973e02662d | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 6... | {"states": [103, 119], "expectation_value": -4.495051857938996, "params": [[[0.8246, -0.013800000000000002, 0.0036000000000000003, 0.0036000000000000003], [0.5793, -0.08070000000000001, 0.5653, 0.029500000000000002], [0.2574, -0.084, 0.039400000000000004, -0.0745], [-0.15030000000000002, 0.0184, -0.1728, 0.4888], [0.52... | -0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + 0.5 ... | 11 | 9 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000100", "101001000", "110001000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7716469204925558) q[0];
h q[1];
ry(-0.419743548754394) q[1];
h q[2];
cx q[2], q[1];
ry(0.419743548754394) q[1];
cx q[2], q[1];
ry(-0.3394805577791961) q[1];
ry(1.0930006028280734) q[2];
h q[3];
ry(1.59285799405076) q[3];
rz(-pi) q[4];
ry(-3.136526372442517... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIIZI",
"IIIIIIZZI",
"IIIZIIZII",
"IIIIZZIII",
"IIIZIIIIZ",
"IZIZIIIII",
"IZIIIIIIZ",
"ZIIZIIIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIZZIIIII",
"IIZIIIIIZ",
"IZZIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IZIIIIIII",
"... | [
-0.5,
0.5,
-0.5,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
0.5,
1,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
-1,
0.5,
1,
1.5,
0,
1.5,
1.5,
-0.5
] | 0.979066 | [
1.59285799405076,
1.5261005232355722,
-1.5432938409851116,
-1.35113857066744,
0.770395955888187,
-0.4800519968211978,
0.6181638241406239,
-0.17087313757605851,
-0.839487097508788,
0.8636913290500219,
-0.6789611155583922,
0.4586185475561028,
-0.41596033641871777,
-0.0189624931872691,
0.18... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 1 |
9c729b5be0000eb0159eb9ac078568bd | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [444, 508], "expectation_value": -14.342293439537176, "params": null, "bitstrings": ["001000011", "000000011"], "total_optimization_steps": 100, "probabilities": [0.07791391432666267, 0.43525219062092185], "optimization_time": 254.89264512062073} | -3.5 * (Z(0) @ Z(1)) + 1.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + 1.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(0)) + -2.0 * (Z(5) @ Z(4)) + -3.5 * (Z(2) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -3.5 * (Z(2) @ Z(4)) + -3.5 * (Z(2) @ Z(5)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -3.0... | 1 | 9 | 1 | {"smallest_eigenvalues": [-29.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["000000011"], "largest_eigenvalue": 27.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.48268363845088064) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.2996394225874646) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.7556898899184189) q[4];
cx q[0], q[4];
h q[5];
cx q[1], q[5];
rz(0.2996394225874646) q[5];
... | null | {"node": 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];\ncry(1.5708) q[5], 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... | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIZIIZII",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIZIZIII",
"IIIIIZZII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIZIIII",
"IIZZIIIII",
"IIZIIIZII",
"IIZIIZIII",
"... | [
-3.5,
1,
-2.5,
1,
-2.5,
-2,
-3.5,
1.5,
-3.5,
-3.5,
-2.5,
0.5,
0.5,
0.5,
-3,
-2.5,
0.5,
0.5,
0.5,
-3,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.554221 | [
0.48268363845088064,
0.2996394225874646,
0.7556898899184189,
0.9147702193994192,
0.26828773045128257,
0.08984723281945137,
0.5779290956267576,
1.6118484430352855,
1.0220301804311394
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -29.5,
"target_ratio": 0.97,
"target_value": -28.615
} | 223 |
93c13fab9e34fc37930983d686b23550 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [255, 254], "expectation_value": -32.52134120019687, "params": [[[0.0025, 3.1597], [0.0022, 0.0025], [-0.0035, 0.0027], [0.0023, 0.0025], [0.0021000000000000003, 0.0021000000000000003], [0.0023, 0.0021000000000000003], [1.6156000000000001, 0.0029000000000000002], [0.0024000000000000002, -0.003]]], "bitstring... | -3.0 * (Z(0) @ Z(1)) + -3.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + 2.0 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(4)) + -3.5 * (Z(3) @ Z(1)) + 1.5 * (Z(3) @ Z(0)) + -3.5 * (Z(3) @ Z(4)) + -3.5 * (Z(3) @ Z(5)) + -3.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + 1.5 * (Z(6) @ Z(4)) + -3.0 * (Z(6) @ Z(5)) + -3... | 15 | 8 | 1 | {"smallest_eigenvalues": [-33.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.0, "smallest_bitstrings": ["00000001"], "largest_eigenvalue": 26.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.5774192676055356) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.5774192676055356) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.6771819541108098) q[4];
cx q[0], q[4];
h q[5];
cx q[1], q[5];
rz(-0.4252084696170514) q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZZIIII",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZZIII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIZIIII",
"IZZIIIII",
"IZIIZIII",
"IIIIIZZI",
"IIIZIZII",
"IIZIIZII",
"IIIIZZII",
"IZIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIII... | [
-3,
-3,
-2.5,
2,
-3,
-3,
-3.5,
1.5,
-3.5,
-3.5,
-3,
1,
1.5,
-3,
-3,
0.5,
0.5,
0.5,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.537061 | [
-0.5774192676055356,
-0.6771819541108098,
-0.4252084696170514,
-0.5636796500274506,
-0.3885354397587995,
-0.362310387205197,
-0.10522118613573798,
-1.5707965036755724,
-1.0628797607300235
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -33,
"target_ratio": 0.97,
"target_value": -32.01
} | 274 |
d28c0f9718256cecde1b2d44382957db | 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": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, {"source": 3, "target": 7}, {"source": 4, "ta... | {"states": [98, 114], "expectation_value": -3.183810447667295, "params": [0.298, -0.0926, 0.5017, -0.0029000000000000002, 0.49960000000000004, -0.0012000000000000001, 0.48660000000000003, 0.0006000000000000001, -0.003, 0.2802, 0.0534, 0.3151, 0.49350000000000005, 0.0506, 0.0476, -0.2343, 0.29500000000000004, -0.0929000... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + -0.5 * Z(6) + 0.0 * Z(0) + -2.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) + -1.0 * Z(5) + -0.5 * Z(3) + -1.0 * Z(7) | 3 | 8 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.5, "smallest_bitstrings": ["10001101", "00011011", "10011001", "10011100", "00001111", "00011110"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.10110356149506193) q[0];
rz(-0.23358558211743574) q[0];
rx(0.9207990473365847) q[1];
rz(-0.12547064999520785) q[1];
rx(0.6213986513427855) q[2];
rz(0.030759067201044932) q[2];
rx(0.7974610090346815) q[3];
rz(-0.18207293678462655) q[3];
rx(0.016602241758673073) 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": []} | [
"IZIIIIIZ",
"IZIZIIII",
"IIIZIIZI",
"IIIZIZII",
"IIZZIIII",
"IIZIZIII",
"ZIIZIIII",
"ZIZIIIII",
"ZIIIZIII",
"IZIIIIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IIIIZIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-2,
0,
0,
-1,
-0.5,
-1
] | 0.976486 | [
0.10110356149506192,
-0.22233533777596048,
0.9207990473365847,
-0.1980908895057971,
0.6213986513427855,
-0.046273503941493016,
0.7974610090346815,
-0.08291290976347097,
0.016602241758673073,
0.34343534876074844,
-0.045408597873800235,
0.024891248083611803,
0.8119114780002147,
0.01772323639... | {
"n_parameters": 85,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 10 |
473775bc8d8b4cca680d00f7b64c1aa1 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [36, 3], "expectation_value": -8.238817228952124, "params": [[0.0233, 0.033100000000000004, 0.0182, 0.0189], [-0.029400000000000003, -0.0528, -0.054700000000000006, -0.0488]], "bitstrings": ["011011", "111100"], "total_optimization_steps": 10, "probabilities": [0.03352447731770259, 0.034376362229782825], "op... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.... | 16 | 6 | 4 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 70.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022388232708840404) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022388232708840404) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022388232708840404) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.022388232708840404) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.25,
2.5,
2.25,
2.5,
2.5,
-6.25,
-5.75,
-6.25,
-5.75,
-5.5,
-5.5
] | 0.970792 | [
0.022388232708840404,
-0.16546972504389865,
1.387189998889542,
1.1317721305414625,
-1.0291416278486831,
1.3553919116902904,
-0.24772195907827305,
-0.6852193775874179,
1.0091668921719015,
0.9126657422045303,
0.15550491965267638,
0.23151516878776346
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 42 |
7d8b3d8ceec2d81b644dfcbc98592f50 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [33, 48], "expectation_value": -3.973037742586125, "params": null, "bitstrings": ["011110", "001111"], "total_optimization_steps": 16, "probabilities": [0.07436458640658362, 0.8991243516134904], "optimization_time": 11.872297763824463} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(2) + 0.0 * Z(0) + -1.5 * Z(1) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["110110", "011101", "011110", "001111", "011011"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.39269904215198215) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[1];
rz(-0.39269904215198215) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.39269904215198215) q[2];
cx q[3], q[2];
h q[4];
cx q[4], q[1];
rz(-0.39269904215198215) q[1];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIIZZI",
"IIZZII",
"IIZIZI",
"IZIZII",
"IZIIZI",
"IZZIII",
"ZIIIZI",
"ZIZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1.5,
-1.5,
-1.5,
-1
] | 0.521773 | [
-0.39269904215198215,
0.39269904771702413,
-0.785398098795778,
0.7853982839147303,
1.9634955101122697,
0.7016820247458506
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 155 |
646c4ffdec7c3b688313fcfec6df6ea9 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [8, 14], "expectation_value": -3.499971821732338, "params": null, "bitstrings": ["10111", "10001"], "total_optimization_steps": 22, "probabilities": [1.3834854838606892e-05, 0.9999858813341931], "optimization_time": 14.006691455841064} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["10001"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(1.9669260845713552) q[0];
ry(0.1024795632901214) q[0];
rz(-1.7618896224722536) q[0];
rz(1.3195676915300085) q[1];
ry(2.675781808525202) q[1];
rz(-2.101131985716676) q[1];
rz(0.659445598074063) q[2];
ry(2.9276292745841843) q[2];
rz(-2.5769113250260087) q[2];
rz(-1.592... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZIZ",
"IZIIZ",
"ZIIZI",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-0.5,
-1
] | 0.973844 | [
-0.03861409541289346,
0.30559213356773784,
0.7326018024600061,
-0.06435106480608022,
0.9547122432617727,
-0.15670419204282596,
1.266054401368888,
0.002295537787968205,
-0.1307986670653961,
0.03183210554700622,
0.016147551089138828,
-0.018645541425944934,
1.0077607251862293,
1.0367697074034... | {
"n_parameters": 27,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 9 |
6913e77a092e6b8e92c97148a6d379f5 | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [56, 54], "expectation_value": -0.25377664324339544, "params": [[0.06430000000000001, 0.0755, 0.0699], [-0.0362, -0.0584, -0.0548]], "bitstrings": ["1000111", "1001001"], "total_optimization_steps": 10, "probabilities": [0.01103565574432446, 0.012501582213139822], "optimization_time": 8.124933958053589} | 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(1)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(4) @ Z(5)) + 0.... | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.625, "smallest_bitstrings": ["1001001"], "largest_eigenvalue": 5.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.062346765897915706) q[0];
rz(-0.07861393323966848) q[0];
rx(2.8930871888684693) q[1];
rz(-0.5035763423869778) q[1];
rx(3.065918378176062) q[2];
rz(-0.12390964307312333) q[2];
rx(0.1645274144132281) q[3];
rz(-0.4200180781615156) q[3];
rx(3.3932273417708734) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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",
"IIIZIZI",
"IIZIIZI",
"IIZZIII",
"IIZZIZI",
"IZIZIII",
"IIZIZII",
"IZIIZII",
"ZIIIZII",
"IZZIIII",
"ZIZIIII",
"ZZIIIII",
"IZZIZII",
"ZIZIZII",
"ZZIIZII",
"ZZZIIII",
"ZZZIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZ... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.75,
0,
0.125,
-0.25,
0.125,
-0.125,
-0.625
] | 0.981137 | [
0.06234676589791571,
0.05049997120834073,
2.8930871888684693,
-0.5035763423869778,
3.065918378176062,
-0.12390964307312333,
0.1645274144132281,
-0.4200180781615156,
3.3932273417708734,
0.5128971855755327,
0.717543276190233,
0.1258080823171311,
0.5432549077788699,
-0.25822780889601854,
0.... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 19 |
06224520ded029e940b1fde3f5ab3e3b | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [35, 42], "expectation_value": -2.9963973626076346, "params": null, "bitstrings": ["011100", "010101"], "total_optimization_steps": 23, "probabilities": [0.06635256276067618, 0.9303255856453795], "optimization_time": 16.33819007873535} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["010101", "011100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4604609545342588) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.4604609545342588) q[1];
cx q[0], q[1];
rz(-0.5961919399360327) q[0];
rx(-0.8240718412880712) q[0];
cx q[3], q[2];
rz(0.4604609545342588) q[2];
cx q[3], q[2];
h... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIZIIZ",
"IIIIZZ",
"IZIIZI",
"IIZZII",
"ZIZIII",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
0,
-0.5,
-0.5
] | 0.720304 | [
0.4604609545342588,
-1.0130158982300328,
-0.5961919399360321,
0.10159268481627397,
-0.8240718412880712,
1.653056793347183,
-2.4998589588665014,
-1.3174178256009759,
-0.48477462442147073
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 246 |
42fc1cab65130010b16c5206f9faaa99 | kclique | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [5, 7], "expectation_value": -11.897601583995343, "params": [[[0.9460000000000001, 0.004], [0.8036000000000001, 0.0058000000000000005], [0.7911, 0.006900000000000001], [0.9436, 0.005], [0.9497000000000001, 0.0064], [1.5992000000000002, 0.0061], [1.5894000000000001, 0.003], [1.6009, 0.0029000000000000002]]], ... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 1 | 8 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.020585712478965273) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.020585712478965273) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.020585712478965273) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.020585712478965273) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
2.75,
-7.25,
-7,
-7.5,
-7,
-7,
-6.25,
-6.5,
-6.5
] | 0.972491 | [
0.020585712478965273,
-0.10740732213659304,
0.9806179744216011,
1.2066222500302057,
0.807373465491872,
-0.7383480177614887,
-0.583309434460934,
1.229770317245662,
0.029731332749984192,
-0.4028832613860345,
-0.11890009039048421,
0.19530480659012922,
0.3300174811368061,
-0.05473954150926055,... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 85 |
6913e77a092e6b8e92c97148a6d379f5 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [41, 37], "expectation_value": -3.4965156417765755, "params": null, "bitstrings": ["010110", "011010"], "total_optimization_steps": 20, "probabilities": [0.06700895329611992, 0.9297461640983088], "optimization_time": 11.56589388847351} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -0.5 * Z(3) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["101010", "011010", "010110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.062346765897915706) q[0];
rz(-0.07861393323966848) q[0];
rx(2.8930871888684693) q[1];
rz(-0.5035763423869778) q[1];
rx(3.065918378176062) q[2];
rz(-0.12390964307312333) q[2];
rx(0.1645274144132281) q[3];
rz(-0.4200180781615156) q[3];
rx(3.3932273417708734) q[4];
rz... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IZIIZI",
"IZIZII",
"IIZZII",
"IZZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1,
-1.5,
-0.5,
0
] | 0.981137 | [
0.06234676589791571,
0.05049997120834073,
2.8930871888684693,
-0.5035763423869778,
3.065918378176062,
-0.12390964307312333,
0.1645274144132281,
-0.4200180781615156,
3.3932273417708734,
0.5128971855755327,
0.717543276190233,
0.1258080823171311,
0.5432549077788699,
-0.25822780889601854,
0.... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 19 |
eb37df157f972d0ca6ce6f2978928048 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [29, 5], "expectation_value": -0.0006581176775607989, "params": [[-0.012100000000000001], [0.0029000000000000002]], "bitstrings": ["100010", "111010"], "total_optimization_steps": 10, "probabilities": [0.0156358269645793, 0.015637992151543382], "optimization_time": 1.2519526481628418} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(4) + -0.75 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["111010"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.34781260363078503) q[0];
ry(-0.0790730710407612) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.07098067974575972) q[2];
h q[3];
ry(1.191000615298271) q[3];
ry(-0.0919506591296967) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.34781260363078503) q[0];
cx q[5], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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[4];
rz(x1) q[4];
c... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIIZ",
"IIIZZI",
"IIZZII",
"ZIIIIZ",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-0.25,
-0.5,
-0.5,
-0.25,
1,
-0.25,
-0.25,
0.25,
-0.25,
-0.25,
-0.75,
0.5,
0.5
] | 0.971308 | [
-1.6195195910882816,
-0.6956252072615701,
1.163192809081668,
-0.6409245945835431,
-1.4157079854028858,
-1.4464175889434372,
1.191000615298271,
0.4437522521707178,
-0.5414288192221872,
0.3199884413474384,
-0.09061133362139674,
-0.12627536452462831,
-0.04451483090474981,
-0.07956465144531773... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 6 |
bb51b85a8f0cca1e878093cb2d4e9f25 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [7, 11], "expectation_value": -0.3564831240554778, "params": [[0.062200000000000005, 0.048400000000000006], [-0.0609, -0.048]], "bitstrings": ["111000", "110100"], "total_optimization_steps": 10, "probabilities": [0.01861385059238282, 0.018613850592382842], "optimization_time": 2.5303964614868164} | 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)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000", "110100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) q[3];
cx q[1], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIIZ",
"ZIIIZI",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1,
-1,
0,
0
] | 0.970515 | [
0.0578548521713938,
-0.5965324608541779,
0.14798932566828993,
0.42484350980591923,
-0.9272829572068437,
-0.04010345398285296,
-1.1578923267991272,
-0.46130283317179,
-1.0852932021567716,
0.9461273837682691,
-0.03445215865394413,
-1.0967217839356491,
-0.4607238774334183,
0.35636944727550446... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 112 |
fbed7eb759f2b5af245b5b20e03cfb23 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [3, 34], "expectation_value": -4.973039785722057, "params": null, "bitstrings": ["111100", "011101"], "total_optimization_steps": 17, "probabilities": [0.0743643311537954, 0.8991266787991349], "optimization_time": 16.36042022705078} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * Z(1) + -1.5 * Z(0) + -2.0 * Z(2) + -1.5 * Z(3) + ... | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["111100", "111001", "011101"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(0.09362127717423929) q[0];
rz(0.15898723948650006) q[0];
rx(0.01271788291818901) q[1];
rz(-0.3274973128640216) q[1];
rx(-0.2979108091192296) q[2];
rz(-0.003237763520752778) q[2];
rx(-0.02397760534694167) q[3];
rz(0.10163948195161117) q[3];
rx(0.1688669766569415) q[4]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IZIIZI",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-2,
-1.5,
-1.5,
-0.5
] | 0.970137 | [
0.09362127717423929,
0.15898723948650006,
0.01271788291818901,
-0.3274973128640216,
-0.2979108091192296,
-0.003237763520752778,
-0.02397760534694167,
0.10163948195161117,
0.1688669766569415,
0.1069285924342987,
2.117206731621425,
0.2152560063760715
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -40,
"target_ratio": 0.97,
"target_value": -38.8
} | 5 |
e05275d14653e116f32640e6b82829a5 | 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": 9, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 20, "source": 0, "target": 5}, {"weight": 14, "source": 1, "tar... | {"states": [342, 244], "expectation_value": -8.726362452073422, "params": [[-0.046400000000000004], [0.0604]], "bitstrings": ["010101001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.003649354296697707, 0.004181738654320508], "optimization_time": 1.9761314392089844} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(6)) + 19.0 * Z(1) + 13.5 * Z(0) + 11.0 *... | 1 | 9 | 1 | {"smallest_eigenvalues": [-79.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 146.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.4425492888678123) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.4425492888678123) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.4425492888678123) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.4425492888678123) q[3];
cx q[0], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZZIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIZIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
19,
13.5,
11,
13,
16,
9,
-3,
6,
3.5
] | 0.971772 | [
-0.4425492888678123,
2.0805051341880763,
-0.8059424329398818,
0.909658234555579,
0.5864643823955256,
0.4520557735563614,
2.1315789794619,
-1.545508813975371,
-1.3406375248769506,
-0.9044464262927957,
0.13583358901083126,
0.48780027186058117,
-0.6613907779366653,
-0.765987281107893,
0.924... | {
"n_parameters": 21,
"n_qubits": 9,
"optimal_eigenvalue": -79.5,
"target_ratio": 0.97,
"target_value": -77.115
} | 63 |
f3708375ba6fa9c71edbcd23f9c9eca4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 3}]} | {"states": [10, 7], "expectation_value": -1.878244413214229, "params": null, "bitstrings": ["0101", "1000"], "total_optimization_steps": 18, "probabilities": [0.20653887476852636, 0.7080427202478625], "optimization_time": 8.660252809524536} | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + 0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.0 * Z(1) + -0.25 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["1000"], "largest_eigenvalue": 2.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
ry(-1.010121423472979) q[0];
h q[1];
ry(0.7853982035792615) q[1];
h q[2];
ry(1.5707956806528132) q[2];
h q[3];
cx q[3], q[1];
ry(-0.7853982035792615) q[1];
cx q[3], q[1];
ry(0.6154796274137422) q[3];
cx q[1], q[3];
ry(-0.6154796274137422) q[3];
cx q[1], q[3];
cx... | null | {"source": 0, "sink": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\n... | [
"IZIZ",
"IZZI",
"ZZII",
"ZIIZ",
"ZIZI",
"IZII",
"IIIZ",
"IIZI",
"ZIII"
] | [
-0.5,
-0.5,
-0.5,
0.75,
-0.5,
0.5,
-0.25,
0,
-0.25
] | 0.888889 | [
1.5707956806528132,
1.570796407158523,
1.2309592548274844,
-2.020242846945958,
0.5024058852687302,
-1.1213498565529063,
1.0683905653844339,
6.544803761639136e-7,
-0.07539900701000271,
-0.09494170503749731,
-1.3610082431868337e-7,
0.0949418225997358,
0.07539895788259901,
-4.123984436099256e... | {
"n_parameters": 15,
"n_qubits": 4,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 287 |
35eda900f849f65d0cff23e7af228cca | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 4, "s... | {"states": [5, 1], "expectation_value": -0.5707083866546954, "params": [[0.0587, -0.025], [-0.0655, -0.0152]], "bitstrings": ["111111010", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0028602909582107696, 0.0029815716388515495], "optimization_time": 4.395528078079224} | -0.75 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(0)) + 1.75 * (Z(8) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-15.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7590292831518554) q[0];
h q[1];
ry(-1.5180585663037107) q[1];
h q[2];
ry(-1.5180585663037107) q[2];
h q[3];
ry(-1.5180585663037107) q[3];
ry(-0.03253979615737071) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.5180585663037107) q[5];
ry(-0.02565996005199503) q[6];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"ZIIIIIIIZ",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IZIIIIIZI",
"IZIIIIZII",
"IZIIIZIII",
"IZIZIIIII",
"IIIIZIIZI",
"IIIIZZIII",
"ZIIIZIIII",
"IIIZZIIII",
"IIZIIIZII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
-0.75,
-0.75,
-0.5,
-0.25,
1.75,
-1,
-0.75,
-1.5,
-0.25,
-1,
-1,
-0.25,
-0.5,
-0.5,
-0.25,
-0.75,
-0.75,
-0.25,
0.25,
-0.25,
-1.75,
0.75,
1.5,
-0.75,
-1.25,
1,
0.5
] | 0.944216 | [
-1.5180585663037107,
1.570796361966778,
-0.8117670078046326,
-1.5057166941585869,
-1.5194764984840505,
-0.051319736517702254,
-0.06507967295787837,
-0.06507988172230492,
-0.05132031841585518
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -15.25,
"target_ratio": 0.97,
"target_value": -14.7925
} | 194 |
1600da48c768639b2cb0d1bea5b2382e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [253, 255], "expectation_value": -0.18659105779654417, "params": [[-0.0874], [0.0814]], "bitstrings": ["100000010", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0023842470383793834, 0.002386340514018922], "optimization_time": 2.251124620437622} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(8)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * Z(3) + -0.25 * Z(0) + 0.0 * Z(7)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000000", "100000010", "100000110", "100010110"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.038072023806543384) q[0];
ry(-1.4527524474718614) q[1];
ry(-0.032233288270160754) q[2];
ry(-0.0832943436119534) q[3];
ry(-0.11874845093962502) q[4];
ry(-0.10854964528173822) q[5];
ry(0.0772935131286506) q[6];
ry(-0.16161809526456616) q[7];
ry(-0.011203197392025162... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[0];
rz(x0) q[0];
... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IZIIIIIIZ",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIIIIZZII",
"IIIIZIZII",
"IZZIIIIII",
"ZIZIIIIII",
"IIZIZIIII",
"IIIZIZIII",
"IIZZIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII"
] | [
-0.25,
-0.5,
-0.5,
1,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
0,
-0.25,
0.25,
0.5,
0,
-0.5,
0.75
] | 0.970487 | [
-0.038072023806543384,
-1.4527524474718614,
-0.032233288270160754,
-0.0832943436119534,
-0.11874845093962502,
-0.10854964528173822,
0.0772935131286506,
-0.16161809526456616,
-0.011203197392025162,
0.07469616500222398,
1.832898403992749,
1.3201883856362548,
-0.04354490294058532,
0.055636690... | {
"n_parameters": 23,
"n_qubits": 9,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 27 |
64945dc18f78a33560af97db99744897 | 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": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [1366, 1371], "expectation_value": -2.0169247329585414, "params": [[[0.1975, -0.0025], [0.0297, -0.0166], [0.5969, 0.0363], [0.2146, 0.08070000000000001], [0.5854, 0.09720000000000001], [0.3372, 0.11120000000000001], [0.2674, 0.4278], [0.23570000000000002, 0.5183], [0.37460000000000004, 0.5812], [0.594100000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(0) @ Z(8)) + 0.125 * (Z(2) @ Z(7)) + 0.125 * (Z(2) @ Z(8)) + 0.125 * (Z(7) @ Z(8)) + -0.125 * (Z(0) @ Z(2) @ Z(7)) + ... | 15 | 11 | 4 | {"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, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 21, "first_excited_energy": -2.375, "smallest_bitstrings": ["01100011000", "01110100000", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.2783255282545953) q[0];
rz(pi/2) q[0];
ry(0.2098726946505716) q[1];
ry(-0.2971753570411197) q[2];
ry(1.8475869709337933) q[3];
ry(1.2736064911365077) q[4];
ry(1.5300807043468985) q[5];
ry(-0.06522544513086462) q[6];
ry(0.10855046058699067) q[7];
ry(1.7942520048077... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIIZZZII",
"IIIIZZIIIII",
"IIIIIIIIZIZ",
"IIIZIIIIIIZ",
"IIZIIIIIIIZ",
"IIIZIIIIZII",
"IIZIIIIIZII",
"IIZZIIIIIII",
"IIIZIIIIZIZ",
"IIZIIIIIZIZ",
"IIZZIIIIIIZ",
"IIZZIIIIZII",
"IIZZIIIIZIZ",
"IIIZIZIIIII",
"IZIIIZIII... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.1... | 0.976148 | [
1.2783255282545953,
0.2098726946505716,
-0.2971753570411197,
1.8475869709337933,
1.2736064911365077,
1.5300807043468985,
-0.06522544513086462,
0.10855046058699067,
1.79425200480774,
1.6453756548170875,
1.4151041434118912,
1.0145851845776537,
0.9277303499731857,
0.14059789426484096,
1.214... | {
"n_parameters": 43,
"n_qubits": 11,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 62 |
c502b67eb6d91d909ba398fa39bec60c | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}]} | {"states": [8, 0], "expectation_value": -0.05451225163499604, "params": [[-0.049, -0.0308], [0.0675, 0.046900000000000004]], "bitstrings": ["0111", "1111"], "total_optimization_steps": 10, "probabilities": [0.06423382065625358, 0.06607056931787963], "optimization_time": 2.259986162185669} | 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)) + -0.625 * Z... | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.125, "smallest_bitstrings": ["1111"], "largest_eigenvalue": 3.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(-0.057394609977100594) q[0];
ry(1.5139044986832286) q[1];
ry(0.02914218421175388) q[2];
ry(-0.044368933537627414) q[3];
ry(1.4230068144719492) q[4];
ry(-0.11603950978641897) q[5];
ry(-0.5094548802261205) q[6];
ry(0.04971594069488461) q[7];
ry(0.04895829829331563) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[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[2], q[0];
rz(x0) q[0... | null | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZIZ",
"ZIIZ",
"IZZI",
"ZIZI",
"ZZII",
"IZZZ",
"ZIZZ",
"ZZIZ",
"ZZZI",
"ZZZZ",
"IIIZ",
"IIZI",
"IZII",
"ZIII"
] | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.625,
-0.625,
-0.625,
-0.625
] | 0.971723 | [
-0.057394609977100594,
1.5139044986832286,
0.02914218421175388,
-0.044368933537627414,
1.4230068144719492,
-0.11603950978641897,
-0.5094548802261205,
0.04971594069488461,
0.04895829829331563,
-0.1877934380534667,
1.2428533808206035,
0.09499352879649384,
2.05426296872183,
0.0193934036593824... | {
"n_parameters": 30,
"n_qubits": 15,
"optimal_eigenvalue": -7.999999999999979,
"target_ratio": 0.97,
"target_value": -7.759999999999979
} | 54 |
a6da0588e4f06076b5c2f06ef98c16c3 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [47, 46], "expectation_value": -1.844063307329706, "params": [0.0018000000000000002, 0.5797, 0.7418, 0.0102, 0.8015, 0.0105, 0.5880000000000001, 0.0012000000000000001, 0.8011, -0.0041, 0.8012, 0.002, 0.8103, 0.0063, 0.5767, -0.1771, 0.0016, 0.4554, 0.7454000000000001, 0.0008, 0.8033, 0.1505, 0.5808, -0.00240... | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(0) @ Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(5) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(3) @ Z(6)) + -0.25 *... | 4 | 8 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.25, "smallest_bitstrings": ["10101001", "10101100", "10110001", "11011000", "11010001", "11101000", "11001010"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.6893829270649235) q[0];
rz(-0.15246847792251517) q[0];
rx(0.8054746318133343) q[1];
rz(-0.1838163856781594) q[1];
rx(0.4051055585965716) q[2];
rz(-0.22350801436726764) q[2];
rx(0.0026468023417618863) q[3];
rz(0.4052824277792104) q[3];
rx(-0.3718109169788402) 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": []} | [
"IIIIIZZI",
"IIIZZIII",
"IIZIIIIZ",
"IZIIIIIZ",
"IZZIIIII",
"IZZIIIIZ",
"IIZIIIZI",
"ZIIIIIZI",
"ZIZIIIII",
"ZIZIIIZI",
"IIIIZZII",
"IZIIIZII",
"IZIIZIII",
"IZIIZZII",
"ZIIZIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
0.5,
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,
0.5,
-0.75,
-0.25,
-0.25,
-0.25,
-0.5,
0,
0,
-0.25
] | 0.983472 | [
0.6893829270649237,
-0.15421740938566555,
0.8054746318133343,
-0.21500998908504157,
0.40510555859657166,
-0.1561534392208339,
0.0026468023417618863,
0.26630454616751786,
-0.37181091697884017,
-0.029580537836861695,
-0.013845030580932005,
0.086408608200701,
0.9631530342970905,
0.09314220419... | {
"n_parameters": 69,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 12 |
bb78951d23ba1e63131fcc47aa4f8374 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "... | {"states": [4095, 511], "expectation_value": -25.009170309997433, "params": [[[-0.0023, 0.0067], [0.0025, 0.0032], [1.5777, 0.0078000000000000005], [0.0024000000000000002, 0.0071], [0.0023, 0.004], [0.0023, 0.0009000000000000001], [-0.0098, 0.00030000000000000003], [0.0023, 0.0068000000000000005], [-0.00240000000000000... | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(6)) + -2.0 * (Z(7) @ Z(9)) + 1.0 * (Z(11) @ Z(9)) + -2.5 * (Z(11) @ Z(7)) + -2.5 * (Z(8) @ Z(9)) + 1.0 * (Z(8) @ Z(7)) + -... | 2 | 12 | 1 | {"smallest_eigenvalues": [-26.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.5, "smallest_bitstrings": ["111000000000"], "largest_eigenvalue": 24.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.03627456476737051) q[0];
rz(0.16601414185334915) q[0];
rx(-0.00543322780971045) q[1];
rz(0.045623247083577734) q[1];
rx(2.271492161143217) q[2];
rz(-0.2165546897836524) q[2];
rx(0.043022114185683566) q[3];
rz(-0.07341671082620779) q[3];
rx(0.08309245689979744) 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[... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIIZZ",
"IIIIIIZIZIII",
"IIIIIZZIIIII",
"IIIIIZIIZIII",
"IIIIIIZZIIII",
"IIIIIIIZZIII",
"IIIIIZIZIIII",
"IIZIZIIIIIII",
"ZIZIIIIIIIII",
"ZIIIZIIIIIII",
"IIZZIIIIIIII",
"IIIZZIIIIIII",
"ZIIZIIIIIIII",
"IZZIIIIIIIII",
"IZIIZIIIIIII",
"ZZIIIIIII... | [
-2,
-2,
0.5,
-1.5,
-2,
-2,
0.5,
0.5,
-2,
-2,
1,
-2.5,
-2.5,
1,
-2.5,
0.5,
0.5,
-2,
-2,
-1.5,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.971383 | [
0.03627456476737051,
0.16601414185334915,
-0.00543322780971045,
0.045623247083577734,
2.271492161143217,
-0.2165546897836524,
0.043022114185683566,
-0.07341671082620779,
0.08309245689979744,
-0.025166797125888447,
0.18211823467173216,
0.11169640934108405,
-0.082782832711392,
0.170843035909... | {
"n_parameters": 22,
"n_qubits": 12,
"optimal_eigenvalue": -26.5,
"target_ratio": 0.97,
"target_value": -25.705
} | 9 |
36839f6cc172274608b4e10ddc5914a8 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"sour... | {"states": [23, 7], "expectation_value": -14.486663843757656, "params": [0.0021000000000000003, 1.3828, 0.002, 0.0036000000000000003, 0.003, 1.9474, 0.0028, 0.0063, 0.003, 1.9456, 0.0028, 0.0068000000000000005, -0.5029, 1.3225, 0.5800000000000001, 0.0089, 0.0019, 2.0293, -0.0019, 0.002, -1.8584, 1.8699000000000001, 0.5... | -2.5 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.5 * (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)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * Z(1) + -2.5 * Z(0) + -2.0 * Z(2) + 1.0 * Z(3... | 6 | 8 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.011621975993913812) q[0];
rz(2.0886904678713947) q[0];
rx(0.03616449977475358) q[1];
rz(-2.426451328849131) q[1];
rx(0.03616449977475359) q[2];
rz(-2.455606023838188) q[2];
rx(-0.21562313862682664) q[3];
rz(-3.0681687713686934) q[3];
rx(-0.07275420636878006) 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[... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-2.5,
1,
-2.5,
0.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
0.5,
-2,
-2.5,
-2,
1,
-2,
0.5,
0.5,
0.5
] | 0.973116 | [
0.011621975993913812,
0.5178941410764976,
0.03616449977475358,
2.2859376515355585,
2.256782956546502,
-0.21562313862682664,
1.6442202090159963,
-0.07275420636878008,
2.1087499205753524,
-2.6869487992899974,
1.8660672851759623,
-2.36116824298798,
0.46728534045307435,
-1.5647392527769666,
... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 108 |
348c13052b9cd507aa792296e385f0a4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2... | {"states": [3, 1], "expectation_value": -9.499987376089177, "params": null, "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 20, "probabilities": [1.2623858499060669e-05, 0.9999873761304554], "optimization_time": 14.631282806396484} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.75 * Z(2) + 1.5 * Z(6) + -1.0 * Z(3) + -0.5 * Z(4) + -0.25 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.06478935654218318) q[0];
rz(0.010473094700834906) q[0];
rx(-0.21029945099044114) q[1];
rz(0.36193904458961335) q[1];
rx(-0.12407138095515016) q[2];
rz(0.046088532858524545) q[2];
rx(0.1874119633339978) q[3];
rz(0.35704809683533245) q[3];
rx(-0.0838195345979585) q[4... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
-1,
-1,
-0.75,
-0.5,
2,
-1,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
0.75,
1.5,
-1,
-0.5,
-0.25
] | 0.979758 | [
0.06478935654218318,
0.20218073164039307,
-0.21029945099044114,
0.4704675727431508,
-0.12407138095515018,
0.33009272048242233,
0.18741196333399776,
0.12867352073879185,
-0.08381953459795849,
-0.28813328048276804,
0.29408685795202144,
-0.42763869643912095,
0.9971024611824714,
0.068911216138... | {
"n_parameters": 52,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 8 |
-3241859606586776718 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 4], [5, 7], [0, 8, 3], [0, 1, 2, 3, 7], [0, 2, 4, 5, 8], [8, 2, 7], [0, 2, 4, 5, 6], [8, 3, 7], [0, 8, 6], [3, 4, 5], [8, 3, 6]]} | {"states": [375, 374], "expectation_value": -1.2218140231517203, "params": [0.9017000000000001, -0.0098, 0.9007000000000001, 0.0027, 0.8953000000000001, 0.038900000000000004, 0.5997, 0.0007, 0.9051, -0.0039000000000000003, 0.8965000000000001, 0.0039000000000000003, 0.903, -0.0145, 0.8964000000000001, 0.0049, 0.9073, -0... | 0.5 * (Z(1) @ Z(4)) + 0.26666666666666666 * (Z(5) @ Z(4)) + 0.05 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.1 * (Z(0) @ Z(4)) + 0.05 * (Z(0) @ Z(1)) + 0.1 * (Z(0) @ Z(5)) + 0.05 * (Z(0) @ Z(7)) + 0.05 * (Z(8) @ Z(4)) + 0.05 * (Z(8) @ Z(5)) + 0.3333333333333333 * (Z(8) @ Z(7)) + 0.3833333333333333 * (Z(8) @ Z(0)) + 0.166... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.6], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.266666666666666, "smallest_bitstrings": ["010001001"], "largest_eigenvalue": 10.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.9014892077200989) q[0];
rz(1.5927794307985295) q[0];
rx(0.27163347490587586) q[1];
rz(1.7799513885683202) q[1];
rx(2.1277041917204227) q[2];
rz(1.405082615085508) q[2];
rx(2.145037434807406) q[3];
rz(1.540106803471633) q[3];
rx(1.8343110556614026) q[4];
rz(1.586922... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIZIIZI",
"IIIZZIIII",
"IZIIIIIZI",
"IZIZIIIII",
"IIIIZIIIZ",
"IIIIIIIZZ",
"IIIZIIIIZ",
"IZIIIIIIZ",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"ZIIIIIIIZ",
"IIIIZZIII",
"IIIIIZIZI",
"IIIZIZIII",
"IZIIIZIII",
"IIIIIZIIZ",
"ZIIIIZIII",
"IIIIZIZII",
"IIIIIIZZI",
"IIIZIIZII",
"... | [
0.5,
0.26666666666666666,
0.05,
0.5,
0.1,
0.05,
0.1,
0.05,
0.05,
0.05,
0.3333333333333333,
0.3833333333333333,
0.16666666666666666,
0.05,
0.16666666666666666,
0.21666666666666667,
0.21666666666666667,
0.5,
0.1,
0.05,
0.1,
0.21666666666666667,
0.15000000000000002,
0.2166... | 0.970459 | [
1.9014892077200989,
0.02198310400363337,
0.27163347490587586,
0.2091550617734235,
2.1277041917204227,
-0.16571371170938828,
2.145037434807406,
-0.030689523323263627,
1.8343110556614026,
0.016126325590890618,
0.5399515153595835,
0.03694477209491639,
1.1826779327112542,
-0.02479539574465916,... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -3.6,
"target_ratio": 0.97,
"target_value": -3.492
} | 166 |
f156f991f453bf2551660b1dc00bf1f6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 3, "s... | {"states": [510, 1], "expectation_value": -1.0305448825898342, "params": [[0.0645], [-0.057800000000000004]], "bitstrings": ["000000001", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0027238991182750006, 0.003000643452669525], "optimization_time": 3.1792025566101074} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -1.0 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(7... | 1 | 9 | 1 | {"smallest_eigenvalues": [-18.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 20.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.12570712515330748) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.12570712515330748) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.22704783355376354) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.22704783355376354) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IZIIIIZII",
"IZIIIZIII",
"IZIIZIIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIIZIII",
"IZZIIIIII",
"IIZZIIIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
-0.5,
-0.5,
-1,
-1,
-0.75,
-1,
-0.75,
-1,
-0.25,
-1,
-1.5,
-1,
-1,
-1,
-0.75,
3,
-1,
-0.25,
-3.5,
-0.25,
-0.75,
1.5,
1.5,
-2,
-0.25,
2,
1.75
] | 0.569152 | [
-0.12570712515330748,
-0.22704783355376354,
-0.5549918258138725,
-0.37992434425719607,
-1.068212924335073,
0.9192695580131233,
-1.396744275441003,
0.02980346737333757,
-1.107224868469489,
0.40004090429014577,
0.8474854472406951,
-1.0331853808194436
] | {
"n_parameters": 12,
"n_qubits": 9,
"optimal_eigenvalue": -18.25,
"target_ratio": 0.97,
"target_value": -17.7025
} | 285 |
76593da69ac69de080863b5379b2438f | 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": [142, 143], "expectation_value": -48.369399546147186, "params": [-0.0032, -0.7349, 1.4993, -0.047900000000000005, 0.6808000000000001, 0.762, 0.0176, -0.6683, 0.3366, -0.7342000000000001, 1.4305, 0.0884, 1.3892, -0.2096, 1.0296, -0.5496, 0.9574, -0.16740000000000002, -0.0045000000000000005, -0.686700000000000... | 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(0) @ Z(5)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(3) @ Z(6)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(8) @ Z(4)) + 4.5 * Z(2) + 15.0 * Z(1) + 8.0 * Z(5) + -1.5 * Z(0) + 8.5 * Z(4) + 3.0 * Z(6) + -1.5 * Z(3) + 0.0 * Z(7) + 6.0 * Z(8) | 4 | 9 | 2 | {"smallest_eigenvalues": [-61.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.0, "smallest_bitstrings": ["101110000"], "largest_eigenvalue": 94.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.2523416793055032) q[0];
rz(0.7335007815789414) q[0];
rx(1.4038845987998274) q[1];
rz(1.6135091416302387) q[1];
rx(0.21890194894713472) q[2];
rz(2.7786062924884067) q[2];
rx(-0.03744938727231498) q[3];
rz(0.5784666814557173) q[3];
rx(0.2017036384128051) q[4];
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_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIZIIIIZ",
"IIIIZIIZI",
"IIIZZIIII",
"IIZIIZIII",
"IZIIIIZII",
"ZIIIIIIZI",
"ZIIIZIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIZIIIIII",
"IIIIIZIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
4.5,
15,
8,
-1.5,
8.5,
3,
-1.5,
0,
6
] | 0.974191 | [
0.2523416793055033,
-0.8372955452159552,
1.4038845987998274,
0.04271281483534224,
0.21890194894713466,
1.2078099656935095,
-0.03744938727231497,
-0.9923296453391791,
0.20170363841280511,
0.03420259321002622,
1.8771977903400345,
-0.011290921041398477,
1.3624708199113926,
-0.2914978835960343... | {
"n_parameters": 52,
"n_qubits": 9,
"optimal_eigenvalue": -61,
"target_ratio": 0.97,
"target_value": -59.17
} | 23 |
-7519521110846919070 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[3, 5], [1, 5], [0, 3], [1, 2], [3, 4]]} | {"states": [20, 43], "expectation_value": -0.0594806492904068, "params": [[-0.0796], [0.0762]], "bitstrings": ["101011", "010100"], "total_optimization_steps": 10, "probabilities": [0.017538570451821892, 0.017538570451821892], "optimization_time": 0.7747905254364014} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["101011", "010100"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.7382467231228353) q[0];
h q[1];
ry(0.0023525293488659837) q[1];
h q[2];
h q[3];
ry(0.0023525293488659837) q[3];
h q[4];
h q[5];
cx q[5], q[3];
ry(-0.0023525293488659837) q[3];
cx q[5], q[3];
cx q[5], q[1];
ry(-0.10259089348554211) q[3];
cx q[4], q[3];
ry(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[1], q[2];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"ZIZIII",
"ZIIIZI",
"IIZIIZ",
"IIIZZI",
"IZZIII",
"ZIIIII",
"IIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.980652 | [
0.0047050586977319675,
1.4379786821556038,
-0.20518178697108422,
1.3905943955822477,
1.4764934462456707,
-0.8262593516508492,
0.06813645182011432,
-0.4746906809694254,
0.2906476889766572,
0.6764545325474014,
0.11925025444267218,
-0.6626688118796074,
-0.045556010865526575,
-0.26140070777036... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 29 |
dca74c4464ee5c0862a21e9a873391f9 | 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": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [40, 41], "expectation_value": -2.9787717723890155, "params": [[[0.0024000000000000002, 0.2388, 0.0041, 0.01], [0.26430000000000003, -0.0281, 0.2705, 0.0002], [0.1338, -0.10540000000000001, 0.0001, -0.1047], [0.2649, 0.0488, 0.26230000000000003, 0.0005], [0.0019, 0.3073, 0.0028, 0.3125], [-0.0365000000000000... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(3) @ Z(6) @ Z(5)) + -1.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + 0.0 * Z(3)... | 12 | 7 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.5, "smallest_bitstrings": ["1101100", "1001110", "1100101", "1100110", "1010110"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.3261879765800164) q[0];
rz(1.3498234549150556) q[0];
rx(0.16548659132819363) q[1];
rz(1.4526953729286571) q[1];
rx(0.2776296021368347) q[2];
rz(1.5160908817020786) q[2];
rx(0.6279148589634342) q[3];
rz(1.4920196900062512) q[3];
rx(-0.006774915293495331) q[4];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"IIIZZZI",
"IZIIIZI",
"IIIIZIZ",
"ZIZIIII",
"IZIZIII",
"ZIIZIII",
"ZZIIIII",
"ZZIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-1,
-0.25,
-0.25,
0,
-1,
-0.25,
-0.25
] | 0.971022 | [
0.3261879765800164,
-0.22097287187984072,
0.1654865913281936,
-0.11810095386623967,
0.2776296021368347,
-0.05470544509281741,
0.6279148589634342,
-0.07877663678864508,
-0.006774915293495332,
-0.06537013826367577,
-0.25990680458911103,
0.024489350374356463,
0.0028759361912815695,
0.50129538... | {
"n_parameters": 130,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 39 |
a74a32fdf8a158e45b2972b4608b5f08 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 4, "... | {"states": [959, 4031], "expectation_value": -18.41655402848308, "params": null, "bitstrings": ["110001000000", "000001000000"], "total_optimization_steps": 100, "probabilities": [0.10318424505313059, 0.35239400916434377], "optimization_time": 349.2402250766754} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -2.5 * (Z(6) @ Z(9)) + -3.0 * (Z(10) @ Z(9)) + -2.5 * (Z(10) @ Z(6)) + 1.5 * (Z(11) @ Z(9)) + -2.5 * (Z(11) @ Z(6)) + -3.0 * (Z(11) @ Z(10)) + -3.0 * (Z(7) @ Z(9)) + 1.0 * (Z(7) @ Z(6)) + 1.5 * (Z(7) @ Z(10)... | 1 | 12 | 1 | {"smallest_eigenvalues": [-28.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.0, "smallest_bitstrings": ["000001000000"], "largest_eigenvalue": 34.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.07725390859951364) q[0];
ry(-0.03710871731611508) q[1];
ry(-0.05460380655123357) q[2];
ry(-0.04951420794612258) q[3];
ry(-0.01570947368318145) q[4];
ry(2.1992853255725007) q[5];
ry(-0.01570947368318145) q[6];
ry(0.050666429336709895) q[7];
ry(0.0372311947624792) ... | null | {"node": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] 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];\nh q[10];\nh q[11];\ncry(1.5708) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measur... | [
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIIZZIII",
"IIIIIIIZIZII",
"IIIIIIZZIIII",
"IIZIIZIIIIII",
"IZZIIIIIIIII",
"IZIIIZIIIIII",
"ZIZIIIIIIIII",
"ZIIIIZIIIIII",
"ZZIIIIIIIIII",
"IIZIZIIIIIII",
"IIIIZZIIIIII",
"IZIIZIIIIIII",
"ZIIIZIIIIIII",
"IIZZIIIIIIII",
"IIIZIZIIIIII",
"IZIZIIIII... | [
-1,
-1.5,
-2,
0.5,
0.5,
-2.5,
-3,
-2.5,
1.5,
-2.5,
-3,
-3,
1,
1.5,
-3,
1,
0.5,
-3,
1,
-2.5,
0.5,
0.5,
1,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970959 | [
-0.07725390859951364,
-0.03710871731611508,
-0.05460380655123357,
-0.04951420794612258,
-0.01570947368318145,
2.1992853255725007,
0.050666429336709895,
0.0372311947624792,
0.022193667389315136,
-0.03331093341501225,
3.082649352090531,
0.011223149690543957,
0.035736409641383124,
0.092732906... | {
"n_parameters": 19,
"n_qubits": 12,
"optimal_eigenvalue": -28,
"target_ratio": 0.97,
"target_value": -27.16
} | 14 |
d169c5da5d5c0560bca8ce29d1fd4dde | 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": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target":... | {"states": [1025, 1023], "expectation_value": -17.293011827362704, "params": [[[-0.4651, -0.5775], [0.0026000000000000003, -0.48200000000000004], [0.0018000000000000002, -0.0037], [0.0025, 0.0049], [0.0024000000000000002, -0.0016], [0.0023, -0.0028], [0.0025, -0.0021000000000000003], [0.0025, -0.0028], [0.0001, -0.0028... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(6)) + -1.25 * (Z(8) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + -1.25 * (Z(7) @ Z(8)) + 0.75 * (Z(2) @ Z... | 15 | 11 | 3 | {"smallest_eigenvalues": [-18.0, -18.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.0, "smallest_bitstrings": ["10000000000", "11000000000"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.024348679201563722) q[0];
ry(0.026420438141745974) q[1];
ry(-0.04769796934941719) q[2];
ry(0.03969090413509302) q[3];
ry(-0.0587952683682091) q[4];
ry(0.08689790348039848) q[5];
ry(0.06359312683799732) q[6];
ry(-0.07721855091354282) q[7];
ry(0.1306060196630152) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIZIIIZI",
"IIIIIIIZIZI",
"IIIIZIIIIZI",
"IIIIZZIIIII",
"IIIIZIIZIII",
"IIIIIZZIIII",
"IIIIIIZZIII",
"IIIIZIZIIII",
"IIZIIIZIIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIIIIIIIZIZ",
"IIZIIIIIZII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZIIIIIIIIZI",
"ZIIIIZIII... | [
-0.5,
-0.5,
-0.5,
-0.25,
-1.75,
-0.5,
-0.5,
-0.5,
-0.25,
-1.25,
-2,
-2,
-1.25,
0.75,
-1,
-0.75,
-1.25,
-1.25,
-0.25,
-0.25,
-1.25,
-2,
-0.25,
-1,
0.25,
0.25,
0.25,
-1.25,
-1,
-0.25,
2,
3
] | 0.971273 | [
-0.024348679201563722,
0.026420438141745974,
-0.04769796934941719,
0.03969090413509302,
-0.0587952683682091,
0.08689790348039848,
0.06359312683799732,
-0.07721855091354282,
0.1306060196630152,
0.4463332055754763,
0.1813085280396305,
-0.11296184679536087,
-0.641656787491492,
-0.048959261520... | {
"n_parameters": 69,
"n_qubits": 11,
"optimal_eigenvalue": -18,
"target_ratio": 0.97,
"target_value": -17.46
} | 43 |
6148353282823150813 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 7], [2, 3, 5], [0, 4], [2, 6], [0, 5], [1, 3, 4], [2, 4, 5], [3, 6, 7], [1, 5, 6]]} | {"states": [109, 31], "expectation_value": -0.8441182324797496, "params": [[-0.2651], [0.272]], "bitstrings": ["10010010", "11100000"], "total_optimization_steps": 30, "probabilities": [0.010861449176119147, 0.01154398376533185], "optimization_time": 1.3464722633361816} | 0.5 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.3333333333333326], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0000000000000004, "smallest_bitstrings": ["11100000"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(-0.877055150140897) q[0];
cx q[7], q[0];
cx q[0], q[5];
rz(-0.877055150140897) q[5];
cx q[0], q[5];
cx q[0], q[4];
rz(-0.877055150140897) q[4];
cx q[0], q[4];
rz(0.5290825699408095) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(x0) q[0];
cx q[7], q[0];
cx q[7], q[3];
rz(x1) q[3];
cx q[7], q[3];
cx q[3], q... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIZ",
"ZIIIZIII",
"IIIIZZII",
"IIZIIIIZ",
"IIZIZIII",
"IIZIIZII",
"IIIZIIIZ",
"IIIZZIII",
"IIIZIZII",
"IIZZIIII",
"ZZIIIIII",
"IZIIZIII",
"IZIIIZII",
"IZZIIIII",
"IIIIZIZI",
"IIZIIIZI",
"IIIZIIZI",
"IZIIIIZI",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIZIIII... | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666... | 0.504137 | [
-0.877055150140897,
-0.13072293409776783,
-0.27173641861944275,
0.5290825699408093,
0.8256323743382321
] | {
"n_parameters": 5,
"n_qubits": 8,
"optimal_eigenvalue": -3.3333333333333326,
"target_ratio": 0.97,
"target_value": -3.2333333333333325
} | 140 |
15a5f37f6b324be94a7fa874923284e5 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "ta... | {"states": [5, 7], "expectation_value": -19.72579609041856, "params": [0.027, -0.1394, 0.3927, -0.1512, 0.325, -0.20120000000000002, 0.004200000000000001, 0.29500000000000004, 0.0458, 0.07010000000000001, 0.6007, 0.0063, 0.5818, -0.0112, 0.5864, -0.0016, 0.031200000000000002, -0.22010000000000002, 0.30910000000000004, ... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2... | 4 | 8 | 4 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.08660647235805458) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.08660647235805458) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.08660647235805458) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.08660647235805458) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIZIIIZI",
"IIZIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
2.75,
3,
3,
2.75,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
-7,
-7.25,
-7,
-7.25,
-7.25,
-6.5,
-6.5,
-6.25
] | 0.9711 | [
-0.08660647235805458,
-0.12731865885304094,
0.486571998827358,
0.7706787253710705,
-0.8608749269636787,
-0.3691202591452013,
0.9610136853971378,
-0.12372097609642718,
0.008478123483654525,
1.277526397553868,
0.6268134313552999,
-0.10538367740546278,
-0.7851989999830177,
0.6744201652912936,... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 86 |
ca80a1081391714ec98f68c48872633f | 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": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 4... | {"states": [63, 1], "expectation_value": -0.1884104448050155, "params": [[0.050300000000000004, 0.0233], [-0.0439, -0.028800000000000003]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.009132430239027687, 0.00914236222973311], "optimization_time": 2.5903244018554688} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * (Z(4) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(2) + 0.25 * Z(5) + 0.25 * Z(4) + 0.25 * Z(6) + -... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1101010", "1111110", "1000000"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.1687906414607295) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.03011574609962077) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(0.07378267174157299) q[5];
cx q[1], q[5];
rz(1.0752020301122274) q[1];
rx(-1.5815568... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IZIIIZI",
"IZIIZII",
"IIZIZII",
"ZIIIIIZ",
"ZIIIZII",
"IZIZIII",
"IIZZIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"ZIIIIII",
"IIIZIII"
] | [
-0.25,
-0.5,
-0.75,
-0.25,
-1.5,
1,
-0.5,
-0.75,
-0.25,
-0.25,
0,
-0.25,
0.25,
0.25,
0.25,
0.25,
-0.75
] | 0.969704 | [
-0.1687906414607295,
0.03011574609962077,
0.07378267174157299,
-0.07442929425137337,
0.14029338596054416,
1.0752020301122276,
1.2905015656937975,
-1.581556863044307,
-0.6601184714021492,
0.18906633086427665,
0.010349996280108478,
0.283721497150828,
1.0085271543039225,
1.5874609337062044,
... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 500 |
2811d61d5f2af44ed340d40c20ed9351 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [10, 26], "expectation_value": -3.5762244599532984, "params": [[[-0.002, 0.0049], [-0.0018000000000000002, 0.0094], [1.6165, 0.007500000000000001], [1.6488, 0.0008], [1.516, 0.0058000000000000005], [1.7141000000000002, 0.0029000000000000002], [1.479, 0.001]]], "bitstrings": ["1110101", "1100101"], "total_opt... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(5) + -0.5 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100101", "1111000", "1110001", "1101100"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.008865039116866) q[0];
rz(0.046061827352180805) q[0];
ry(-0.1178852825250914) q[1];
rz(0.27829789344262645) q[1];
cz q[1], q[0];
ry(0.7395785684145371) q[0];
rz(0.25930506959302635) q[0];
ry(1.8785794145123382) q[1];
ry(-0.013192767967563551) q[2];
rz(-0.168361338... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IZIIIZI",
"IZIIIIZ",
"ZIIIIIZ",
"ZIIZIII",
"IIZIIZI",
"IIZIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
-1,
-1,
-0.5,
-0.5,
-0.5
] | 0.97575 | [
1.008865039116866,
0.046061827352180805,
-0.1178852825250914,
0.27829789344262645,
-0.013192767967563551,
-0.16836133853821558,
0.7624316037340955,
-0.08143741373555383,
0.0010459890769583327,
-0.22073670180141544,
0.6737350169334692,
0.06213864785606113,
-0.11555027206492512,
0.0518644535... | {
"n_parameters": 117,
"n_qubits": 11,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 91 |
0f435eed505f807fb8dc44643dfd43ce | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target"... | {"states": [20, 12], "expectation_value": -0.460862902847445, "params": [[0.0523, 0.020300000000000002, 0.043500000000000004, 0.056900000000000006], [-0.056400000000000006, -0.0194, -0.0284, -0.041800000000000004]], "bitstrings": ["01011", "10011"], "total_optimization_steps": 10, "probabilities": [0.038119510413052525... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["11010", "01011", "10011"], "largest_eigenvalue": 8.0} | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"ZZIII",
"IZZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1,
0
] | 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 |
0ae9b6f2b61290137ab22e2dafb0c164 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [10, 20], "expectation_value": -0.3406145364057156, "params": [[-0.038700000000000005, -0.031400000000000004, -0.0709], [0.0523, 0.011300000000000001, 0.0646]], "bitstrings": ["10101", "01011"], "total_optimization_steps": 10, "probabilities": [0.03816212783317981, 0.039668335809428426], "optimization_time":... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["11100", "01011", "10101"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-2.877107649955667) q[0];
rz(-pi) q[0];
ry(-0.05357145502017478) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2987883161683555) q[2];
ry(-0.03652883594563631) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.008100928029173525) q[3];
cx q[2], q[3];
ry(-0.03652883594563631) q[4];
rz(-pi) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"IIZZI",
"IZZII",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1,
-1
] | 0.99193 | [
-1.547794302812402,
-1.5261665628200867,
1.2987883161683555,
-0.01620185605834705,
0.015046013984830048,
0.20950853127499908,
0.061138862075359936
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
f62b83cca3f45816fa664c134006cb2d | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 6}, {"source": 2, "target": 8}, {"source": 3, "target": 4}, {"sour... | {"states": [427, 419], "expectation_value": -4.345227003076679, "params": [[[0.1044, -0.02, 0.004, 0.007500000000000001], [0.029400000000000003, -0.40790000000000004, 1.5729, -0.0013000000000000002], [1.5029000000000001, 0.0006000000000000001, 1.1500000000000001, 0.0002], [0.8036000000000001, 0.001, 0.7923, -0.0043], [... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(1) + -0.5 * Z(6) + -0.5 * Z(2) + 0.0 * Z(8) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(7) | 11 | 9 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["000011101", "001111000", "001011100", "001010110", "000010111", "001110010"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.09785542288997993) q[0];
rz(-0.2335841646353284) q[0];
ry(-0.1197193827425733) q[1];
rz(-0.5655732033038173) q[1];
cx q[1], q[0];
ry(-0.17586195356097611) q[0];
rz(0.6954590264564344) q[0];
ry(1.5690676267686756) q[1];
rz(-0.05733449884255331) q[1];
ry(1.4766044135... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIZIIIZ",
"IIIIZIIZI",
"IIZIIIZII",
"ZIIIIIZII",
"IIIIZZIII",
"IIZIIZIII",
"IIIZZIIII",
"IZIIZIIII",
"IZIZIIIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIZIIIIII",
"IIIIIIZII",
"ZIIIIIIII",
"IIIIIZIII",
"IIIZIIIII",
"IZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
0,
-0.5,
-0.5,
0,
-0.5,
-0.5,
-0.5
] | 0.98072 | [
0.09785542288997993,
-0.2335841646353284,
-0.1197193827425733,
-0.5655732033038173,
1.4766044135925853,
0.0855520100533974,
0.8336072079202954,
0.15235683435366226,
-0.0808963417367486,
-0.2308063147246334,
0.4148333407382524,
0.3646436467755164,
-0.0979244258111523,
0.42129203942474885,
... | {
"n_parameters": 63,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 26 |
93141c357d164fcf2a36ba666f8f01e3 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 2, "target": 3}, {"source": 1, "target": 3}]} | {"states": [2911, 2910], "expectation_value": -6.051520124412653, "params": [0.9994000000000001, 0.1041, 0.5263, 0.41490000000000005, 0.9992000000000001, 0.2446, 0.9759000000000001, 0.0825, 0.5152, 0.3763, 0.9843000000000001, 0.2142, 0.5748, 0.3225, 1.0675000000000001, 0.113, 1.0593000000000001, 0.055400000000000005, 1... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 16 | 12 | 3 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.75, "smallest_bitstrings": ["100100001010", "001001100010", "010010100001", "010010001100", "001001010100", "100100010001"], "largest_eigenvalue": 23.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1714898456555271) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.1714898456555271) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1714898456555271) q[1];
cx q[1], q[0];
rz(-0.24938667349607663) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
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 floa... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIIIIIIIZ",
"IIZIIZIIIIII",
"IIZIIIIIZ... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1.25,
1.25,
1.25,
1,
1,
1,
1.25,
1.25,
1.25
] | 0.525188 | [
0.1714898456555271,
-0.24938667349607663,
1.1176635259891476,
0.8103834446690221,
-0.7718739166458187
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 163 |
48bc2fe3cb79b98fee18d505d1ebe59b | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [33, 65], "expectation_value": -4.910603879608039, "params": null, "bitstrings": ["1011110", "0111110"], "total_optimization_steps": 22, "probabilities": [0.06070092546510561, 0.7871871279988286], "optimization_time": 32.06194043159485} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 *... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["1011110", "0101111", "1110110", "0111101", "1100111", "0111110", "1011011", "1001111"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.12079281128675705) q[0];
rz(0.5674813099381055) q[0];
rx(3.387397693875746) q[1];
rz(0.5870240098225082) q[1];
rx(2.8522529650362514) q[2];
rz(0.21132100675353965) q[2];
rx(0.04928141958692428) q[3];
rz(-1.4732088475229657) q[3];
rx(-0.13805548395794637) 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(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIIZI",
"IZIZIII",
"IZZIIII",
"IIZIZII",
"IZIIZII",
"ZIZIIII",
"ZZIIIII",
"ZIIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-2,
-2,
-1,
-1
] | 0.978839 | [
0.12079281128675705,
0.5674813099381055,
3.387397693875746,
0.5870240098225082,
2.8522529650362514,
0.21132100675353965,
0.04928141958692428,
-1.4732088475229657,
-0.13805548395794637,
-0.5254705969434057,
0.05901400317539679,
-0.4027360692677126,
0.4972066229465188,
0.5280601181764276
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 16 |
7afc16820e80f9ff38487d4737c6b4ad | 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}], "edges": [{"... | {"states": [183, 182], "expectation_value": -69.40156956692935, "params": [-0.001, 0.27840000000000004, -0.0071, 0.2726, 0.4989, 0.058, 0.49760000000000004, 0.0204, 0.2735, 0.111, 0.26940000000000003, 0.10310000000000001, 0.4994, 0.0422, 0.4983, 0.014100000000000001, 0.4944, 0.0511, 0.48710000000000003, 0.0259000000000... | 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(2) @ Z(4)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(8)) + -3.0 * Z(0) ... | 5 | 9 | 3 | {"smallest_eigenvalues": [-84.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["101001001"], "largest_eigenvalue": 169.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.06078934848972714) q[0];
rz(0.3440169291461359) q[0];
rx(0.1686371446574001) q[1];
rz(-0.45755136893257475) q[1];
rx(-0.40109356807666746) q[2];
rz(-0.0005748198450810094) q[2];
rx(0.7421075013295217) q[3];
rz(-0.3281553509892112) q[3];
rx(0.3809463555792857) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIIZIZII",
"IIIIIZZII",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIZIIIIII",
"IZIIIIZII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
-3,
19.5,
20.5,
12,
8,
4,
15.5,
13.5,
9
] | 0.974159 | [
-0.06078934848972714,
0.39794893072806303,
0.1686371446574001,
-0.13877685765296732,
-0.40109356807666746,
-0.2661933752040481,
0.7421075013295217,
-0.4304980650910389,
0.3809463555792858,
0.0762564394950367,
0.29325606757125827,
0.18293490476311136,
0.4656961348628891,
0.07288474059729982... | {
"n_parameters": 133,
"n_qubits": 9,
"optimal_eigenvalue": -84,
"target_ratio": 0.97,
"target_value": -81.48
} | 91 |
c9c78c5b8e0c734df7d98b4ae5d6e5a1 | 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": 2, "source": 0, "target": 8}, {"capacity": 1, "source": ... | {"states": [0, 256], "expectation_value": -9.255859966642364, "params": [-0.7615000000000001, 0.0027, 0.7687, 0.0071, -0.1468, 0.0952, 0.1246, 0.0046, 0.0028, 0.5693, 0.002, 0.0009000000000000001, 0.7996000000000001, -0.0024000000000000002, 0.7979, 0.0043, 0.2351, -0.001, -0.18510000000000001, 0.0073, 0.007200000000000... | -0.5 * (Z(0) @ Z(5)) + -0.25 * (Z(10) @ Z(5)) + -0.5 * (Z(10) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(10)) + -0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(1) @ Z(6)) + -0.5 * (Z(9) @ Z(5)) + -0.5 * (Z(9) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(9)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(8) @ Z(5)) + -0.25 * (Z(... | 6 | 12 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["111011111111"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.10198780842822351) q[0];
rz(1.7062492082013492) q[0];
rx(0.029196255691958172) q[1];
rz(1.8867207499124934) q[1];
rx(0.05395466053615297) q[2];
rz(2.046149076197672) q[2];
rx(0.581628584774799) q[3];
rz(1.5126762394126727) q[3];
rx(-0.03110674530525092) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIZ",
"IZIIIIZIIIII",
"IZIIIIIIIIIZ",
"IIIIIIIIZIIZ",
"IZIIIIIIZIII",
"IIIIIZIIZIII",
"IIIIIZIIIIZI",
"IIZIIIZIIIII",
"IIZIIIIIIIZI",
"IIIIIIIIIZZI",
"IIZIIIIIIZII",
"IIIIIIZZIIII",
"IIIZIIZIIIII",
"IIIZIIIIIZII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIZIZIIIIIII",
"ZZIIIIIII... | [
-0.5,
-0.25,
-0.5,
1.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
-0.25,
-0.75,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
0.75,
0.25,
0.75,
0,
-0.5,
-0.75,
1,
0,
-0.75
] | 0.982141 | [
-0.1019878084282235,
0.1354528814064529,
0.029196255691958176,
0.3159244231175964,
0.053954660536152985,
0.47535274940277483,
0.5816285847747988,
-0.058120087382224114,
-0.03110674530525092,
0.5208756309537751,
-0.08598272594684314,
0.5478579742410051,
0.11044211934855713,
0.26144662033652... | {
"n_parameters": 110,
"n_qubits": 12,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 8 |
8ca1cc128f26bbc587d2dbeb0c149cd8 | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [370, 882], "expectation_value": -2.8360576943879723, "params": [0.5016, 0.4903, 0.6968000000000001, 0.6956, 0.301, 0.2881, 0.6906, 0.6869000000000001, 0.6936, 0.6961, 0.6887, 0.6925, 0.136, 0.1297, 0.016, 0.0058000000000000005, 0.7027, 0.6971, -0.0036000000000000003, -0.0005, 0.48410000000000003, 0.48310000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 14 | 10 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.5, "smallest_bitstrings": ["0010001101", "0010100101", "0001001101", "0100001101", "0011100001", "0101001001", "1000001101", "1000000111", "0001101001", "00... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.1044186887575012) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.62086699164525) q[1];
h q[2];
ry(-0.04832317967740758) q[3];
rz(-pi) q[3];
h q[4];
ry(1.5043802004688414) q[4];
h q[5];
ry(1.5043802004688414) q[5];
cx q[5], q[3];
ry(0.08766964893760334) q[3];
cx q[5], q[3];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIZZIIIZ",
"IIIZIZIIIZ",
"IIIZZIIIIZ"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25... | 0.993724 | [
-1.62086699164525,
-1.3938278090987974,
-1.4348034981798856,
1.5043802004688414,
-1.0020042667393492,
0.7466029713197173,
-0.1753392978752067,
-0.3045979748548337,
0.4578212070017425,
-0.5218060619904213,
0.24997306403953848,
0.09313877057308015,
0.08178973406295656,
0.07313792589671532,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
bb51b85a8f0cca1e878093cb2d4e9f25 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [197, 236], "expectation_value": -3.5103114489764295, "params": null, "bitstrings": ["00111010", "00010011"], "total_optimization_steps": 43, "probabilities": [0.057279452107917815, 0.8498965515177191], "optimization_time": 79.38841533660889} | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["00010011"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) q[3];
cx q[1], q[3];
cx... | 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(-1.5158) 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",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIIZZIZ",
"IIIIZZZI",
"IIIIZZZZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IZIIIIIZ",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"IIZZIIIZ",
"IZIZIIIZ",
"IZZIIIIZ",
"IZZZIIII",
"IZZZIIIZ",
"IIIZIIZ... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.125,
0.125,
-0.625,
0.125,
... | 0.970515 | [
0.0578548521713938,
-0.5965324608541779,
0.14798932566828993,
0.42484350980591923,
-0.9272829572068437,
-0.04010345398285296,
-1.1578923267991272,
-0.46130283317179,
-1.0852932021567716,
0.9461273837682691,
-0.03445215865394413,
-1.0967217839356491,
-0.4607238774334183,
0.35636944727550446... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 112 |
5ab0d413e91c40c8571cb2ab0e0009e7 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 8}, {"source": ... | {"states": [866, 832], "expectation_value": -0.20660160194442984, "params": [[0.0217], [-0.0166]], "bitstrings": ["0010011101", "0010111111"], "total_optimization_steps": 10, "probabilities": [0.0010301781437786761, 0.0010334273548704], "optimization_time": 4.251042127609253} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(8)) + 0.5 * (Z(7) @ Z(4)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + -3.0 * (Z(9) @ Z(7)) + -2.5 * (Z(9) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + -3.0 * (Z(2) @ Z(9)) + -2.5 ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["0010111111"], "largest_eigenvalue": 27.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.5574713118117607) q[0];
rz(1.7493992270792322) q[0];
rx(-0.4594540979603695) q[1];
rz(1.8252919771661595) q[1];
rx(0.02046867567771737) q[2];
rz(2.152754468132616) q[2];
rx(-0.36388622198717396) q[3];
rz(1.7051223684501764) q[3];
rx(-0.08839192898698094) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[10] c;
qubit[10] 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];
cx q[1], q[0];
rz(... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IZIIIZIIII",
"IIZIIZIIII",
"IIZIZIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"ZIIIZIIIII",
"IZIIIIIZII",
"IIIIIZIZII",
"IIZIIIIZII",
"IIIIZIIZII",
"ZIIIIIIZII",
"IZIZIIIIII",
"IIIZIZIIII",
"IIZZIIIIII",
"IIIZZIIIII",
"ZIIZIIIIII",
"IIIZIIIZII"... | [
-1.5,
-1.5,
0.5,
-2,
0.5,
-2,
0.5,
-3,
-2.5,
0.5,
0.5,
1,
0.5,
-3,
-2.5,
0.5,
0.5,
0.5,
-3,
-2.5,
0.5,
0.5,
0.5,
1,
-2,
-2.5,
1,
1.5,
-2.5,
1
] | 0.971363 | [
-0.5574713118117606,
0.17860290028433565,
-0.4594540979603695,
0.2544956503712633,
0.02046867567771737,
0.5819581413377195,
-0.363886221987174,
0.13432604165527892,
-0.08839192898698095,
0.472490915671105,
-0.1404617520731622,
1.2070778612727862,
0.02394998335109433,
0.35084461764043817,
... | {
"n_parameters": 191,
"n_qubits": 10,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 226 |
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": -20.262577072253027, "params": [[[0.0049, -0.3471], [-0.0022, 0.2959], [-0.002, 0.32370000000000004], [0.0007, 0.3317], [0.6112000000000001, -0.0006000000000000001]], [[0.0025, -0.3645], [-0.0004, 0.3216], [-0.0028, 0.31980000000000003], [-0.005200000000000001, 0.3164], [0.6079, ... | 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 | 3 | {"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] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"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 |
-3824656332430485676 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 4, 5, 8, 9], [8, 2, 4, 7], [0, 4, 6], [3, 4], [0, 2], [1, 4]]} | {"states": [575, 567], "expectation_value": -1.9319612217763271, "params": [1.2901, 0.0001, 1.2858, 0.0078000000000000005, 0.0819, -0.727, 0.048, -0.6923, 0.2147, 0.5984, 0.2147, 0.0028, 0.39130000000000004, 0.0125, 1.0276, 0.0002, 1.4651, -0.00030000000000000003, 1.4735, 0.008, 1.4456, -0.2015, 1.4812, -0.1746, 0.8374... | 0.13333333333333333 * (Z(2) @ Z(4)) + 0.05 * (Z(5) @ Z(4)) + 0.05 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(8) @ Z(4)) + 0.13333333333333333 * (Z(8) @ Z(2)) + 0.05 * (Z(8) @ Z(5)) + 0.05 * (Z(9) @ Z(4)) + 0.05 * (Z(9) @ Z(2)) + 0.05 * (Z(9) @ Z(5)) + 0.05 * (Z(9) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.08333... | 8 | 10 | 1 | {"smallest_eigenvalues": [-2.2833333333333337], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.283333333333333, "smallest_bitstrings": ["0111001000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.5942276132368296) q[0];
rz(1.414730339060931) q[0];
rx(0.0785187921165419) q[1];
rz(-0.8366150378203051) q[1];
cx q[1], q[0];
ry(-0.7320487629413098) q[0];
cx q[1], q[0];
ry(2.2690399412335642) q[0];
rz(-1.594030368108439) q[0];
rx(0.08745719845514704) q[1];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZII",
"IIIIZZIIII",
"IIIIZIIZII",
"IZIIIZIIII",
"IZIIIIIZII",
"IZIIZIIIII",
"ZIIIIZIIII",
"ZIIIIIIZII",
"ZIIIZIIIII",
"ZZIIIIIIII",
"IIZIIZIIII",
"IIZIIIIZII",
"IZZIIIIIII",
"IIIIIZIIIZ",
"IIIIIIIZIZ",
"IIIZIZIIII",
"IIIZIIIIIZ",
"IIIIIZZIII",
"IIIIIZIIZI",
"IIIIIZIIII"... | [
0.13333333333333333,
0.05,
0.05,
0.13333333333333333,
0.13333333333333333,
0.05,
0.05,
0.05,
0.05,
0.05,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.3916666666666666,
0.22499999... | 0.97164 | [
1.5942276132368296,
-0.15606598773396535,
0.0785187921165419,
-0.8366150378203051,
-0.05318354862588274,
0.6478529362563354,
0.1352723254148041,
0.23847996766129337,
1.2839399312557027,
0.04521012613260117,
1.5809372228470435,
-0.35017199109256525,
0.20560121717122667,
0.6557878490292888,
... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -2.2833333333333337,
"target_ratio": 0.97,
"target_value": -2.2148333333333334
} | 13 |
7c7664cb9cb13a35da50c3201e32fb16 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [110, 108], "expectation_value": -1.4192081076719887, "params": [[[1.5767, -0.7544000000000001], [1.5684, 0.6108], [0.8774000000000001, -0.6344000000000001], [1.6981000000000002, 1.2743], [1.5767, 1.5729], [1.5749, -0.11270000000000001], [1.57, 0.0056], [1.5788, -1.1017000000000001]]], "bitstrings": ["100100... | 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(5) @ Z(0)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -0.25 * Z(... | 15 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.0, "smallest_bitstrings": ["10011010", "00101101", "00101110", "10001110", "00110101", "10110001", "11001010", "01001110", "10010011"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.03443378752785541) q[0];
rz(-0.13110126421031687) q[0];
rx(0.1780229093399017) q[1];
rz(-0.1841110151175016) q[1];
rx(0.3258424952178776) q[2];
rz(0.019690802414419117) q[2];
rx(-0.1573527638739795) q[3];
rz(-0.15564052018377517) q[3];
rx(0.41048682556123217) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZZIII",
"IIZIIIIZ",
"IIIIZIZI",
"IIZIIIZI",
"IIZIZIII",
"IIZIZIZI",
"IZIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
-0.25,
0,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5
] | 0.983075 | [
-0.03443378752785541,
-0.07317377189750467,
0.1780229093399017,
-0.1000308368391451,
0.3258424952178776,
-0.025638991230291522,
-0.1573527638739795,
-0.2109726450679203,
0.4104868255612321,
-0.02896349377971935,
-0.10942550014263858,
0.023168782610153135,
0.146783244140875,
0.2167996115517... | {
"n_parameters": 135,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 11 |
2038434859549264650 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4, 5, 6, 7], [1, 3, 4, 6, 7], [0, 3, 4, 7], [0, 1, 2, 3], [0, 2, 4, 7]]} | {"states": [186, 190], "expectation_value": -1.0032833916971595, "params": null, "bitstrings": ["01000101", "01000001"], "total_optimization_steps": 55, "probabilities": [0.18434601856343313, 0.27306530442615795], "optimization_time": 100.13490653038025} | 0.18333333333333335 * (Z(3) @ Z(4)) + 0.05 * (Z(5) @ Z(4)) + 0.05 * (Z(5) @ Z(3)) + 0.1 * (Z(6) @ Z(4)) + 0.1 * (Z(6) @ Z(3)) + 0.05 * (Z(6) @ Z(5)) + 0.26666666666666666 * (Z(7) @ Z(4)) + 0.18333333333333335 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(5)) + 0.1 * (Z(7) @ Z(6)) + 0.05 * (Z(1) @ Z(4)) + 0.13333333333333333 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.1500000000000004, -1.1500000000000004], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.15, "smallest_bitstrings": ["01000101", "01000001"], "largest_eigenvalue": 4.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(-2.2753452107342804) q[2];
rz(-pi) q[2];
ry(-2.858662229345924) q[3];
rz(-pi) q[3];
h q[4];
ry(1.446088309721335) q[4];
cx q[4], q[3];
ry(-0.1072079258537036) q[3];
cx q[4], q[3];
cx q[3], q[2];
ry(-0.08633794728088268) q[2];
cx q[3], q[2];
ry(0.15032... | 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(1.3988) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIZIIII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIZIIZI",
"IIIIZIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IIIZIIIZ",
"IIIIZIIZ",
"ZIIIIIIZ",
"IIIIIIZZ",
"IIIZIZII",
"IIIIZZII",
"ZIIIIZII",
"IIIIIZZI",
"IIIIIZI... | [
0.18333333333333335,
0.05,
0.05,
0.1,
0.1,
0.05,
0.26666666666666666,
0.18333333333333335,
0.05,
0.1,
0.05,
0.13333333333333333,
0.05,
0.05,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.0833333... | 0.971858 | [
1.446088309721335,
1.1806579766973235,
0.2144158517074072,
0.6182109366585008,
-0.6093359410994156,
0.17267589456176535,
-0.393064779701809,
0.3006525302476203,
-0.11473991178406429,
0.08447249199481141,
-0.23628873377327148,
-0.06036650140089396,
0.1799512704876793,
0.4052665050804846,
... | {
"n_parameters": 55,
"n_qubits": 8,
"optimal_eigenvalue": -1.1500000000000004,
"target_ratio": 0.97,
"target_value": -1.1155000000000004
} | 6 |
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