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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
71e10f6a07412051601a17c1aaab540b | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target":... | {"states": [124, 127], "expectation_value": -9.679594509046943, "params": [-0.12200000000000001, 0.4913, 0.0512, 0.5967, -0.17220000000000002, 0.5585, 0.07440000000000001, 0.6635, 0.1246, 0.5213, 0.44720000000000004, 0.0745, 0.4315, 0.0222, 0.4398, 0.24650000000000002, 0.4176, 0.094, 0.4056, 0.1797, 0.386, 0.3885, 0.39... | -1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) | 6 | 9 | 4 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["110000000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.11539307161681123) q[0];
rz(2.5062727491177625) q[0];
rx(-0.2874388969975214) q[1];
rz(2.308454114164366) q[1];
rx(-0.3895783997304033) q[2];
rz(2.2561470989799624) q[2];
rx(0.7810191516175832) q[3];
rz(0.8349189773722605) q[3];
rx(0.3333061869049751) q[4];
rz(2.13... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIZZIIII",
"IIZZIIIII",
"IIZIZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-1.5,
-1,
-1.5,
-1.5,
0.5,
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.966399 | [
0.11539307161681124,
0.9354764223228655,
-0.28743889699752134,
0.7376577873694696,
-0.38957839973040326,
0.6853507721850662,
0.7810191516175833,
-0.7358773494226359,
0.3333061869049751,
0.5615073201363684,
1.3622728811037845,
0.10349052483294895,
0.40126583881121597,
-0.14272101481556024,
... | {
"n_parameters": 179,
"n_qubits": 9,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 500 |
23529db270bae4def52806aeae1d449e | 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": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": ... | {"states": [1023, 1019], "expectation_value": -0.3459013509838278, "params": [[-0.045200000000000004], [0.0557]], "bitstrings": ["0000000000", "0000000100"], "total_optimization_steps": 10, "probabilities": [0.0012161693684971861, 0.001228430496886137], "optimization_time": 2.9862186908721924} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(9) + 0.5 * Z(8) + 0.5 * Z(2) ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["0000000100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.098453448754568) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(1.098453448754568) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2207382026687572) q[1];
rx(0.9638634016974083) q[1];
rz(1.098453448754568) q[3];
cx q[0], q[3];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[0];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[0], q[3... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIZZIIII",
"ZZIIIIIIII",
"ZIIIIIIZII",
"IZIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIIZIIII",
"IIIIZIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIIIIIZII",
"IIZIIIIIII"
] | [
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
-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
] | 0.542896 | [
1.098453448754568,
0.22073820266875738,
1.5707963046385156,
0.9638634016974083
] | {
"n_parameters": 4,
"n_qubits": 10,
"optimal_eigenvalue": -14.5,
"target_ratio": 0.97,
"target_value": -14.065
} | 124 |
e543ef7ed69757cb61258022eb86ed78 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [36, 56], "expectation_value": -3.1136197858247554, "params": [[0.3406], [-0.3773]], "bitstrings": ["1011011", "1000111"], "total_optimization_steps": 40, "probabilities": [0.0390999342764678, 0.03916005985291359], "optimization_time": 1.8182625770568848} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(3) + -1.5 * Z(5) + -1.5 * Z(6) + -1.0 * Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1010101", "1010110", "1000111"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.052185128703478426) q[0];
cx q[1], q[0];
rz(1.046584799192459) q[1];
rx(-1.613196828974346) q[1];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.052185128703478426) q[3];
cx q[0], q[3];
h q[4];
cx q[3], q[4];
rz(0.052185128703478426) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"IZIIZII",
"ZIIIZII",
"IIZZIII",
"IZZIIII",
"ZIZIIII",
"IIZIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1.5,
-0.5,
-1.5,
-1.5,
-1,
-1.5
] | 0.971829 | [
0.052185128703478426,
1.0465847991924586,
-1.5706449106624083,
1.423283186832915,
1.1795112473426732,
-1.6131968289743461
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 28 |
5570477335531933170 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3, 4], [0, 4], [1, 6], [0, 5]]} | {"states": [89, 120], "expectation_value": -0.6203968622306947, "params": [[0.37160000000000004], [-0.3685]], "bitstrings": ["0100110", "0000111"], "total_optimization_steps": 40, "probabilities": [0.02247728512384064, 0.02247728512384064], "optimization_time": 1.5438287258148193} | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.16666666666666666 * Z(3) + 0.16666666666666666 * Z(2) + 0.16666666666666663 * Z(4) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8333333333333335, -1.8333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.833333333333333, "smallest_bitstrings": ["0100110", "0000111"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.3819777343519677) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(0.3819777343519677) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(0.3819777343519677) q[3];
rx(-0.7895159883504582) q[3];
rz(0.3819777343519677) q[4];
cx q[2], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(x0) q[4];
cx q[2], q... | null | {"circuits": [], "gradients": []} | [
"IIIZZII",
"IIZZIII",
"IIZIZII",
"IIZIIIZ",
"ZIIIIZI",
"IZIIIIZ",
"IIIZIII",
"IIIIZII",
"IIZIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666663,
0,
0,
0,
0
] | 0.674961 | [
0.3819777343519677,
1.1540456126670122,
-0.02073850596461356,
-0.7895159883504583
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -1.8333333333333335,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 107 |
cab30abb7b2f0a82dfbd763ddb64ab77 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 5},... | {"states": [255, 2047], "expectation_value": -1.976728772743238, "params": [[-0.078], [0.0742]], "bitstrings": ["11100000000", "00000000000"], "total_optimization_steps": 10, "probabilities": [0.00104105246439671, 0.0010553366201019568], "optimization_time": 3.413753032684326} | -2.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(3)) + -2.0 * (Z(7) @ Z(5)) + -2.5 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + -1.... | 1 | 11 | 1 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.8537290870386398) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.0993162182345855) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.39992425135609455) q[1];
rx(1.0003776102064528) q[1];
rz(0.09947137847186463) q[2];
cx q[0], q[2];
rz(0.965... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
c... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIIIZIZIII",
"IIIIZIZIIII",
"IIIIZIIZIII",
"IIIIZZIIIII",
"IIIZIIZIIII",
"IIIZIIIZIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZ... | [
-2,
-1.5,
0.5,
-2,
0.5,
-2.5,
-2,
-2.5,
1,
0.5,
1,
-2,
-2.5,
-1.5,
-1.5,
-1.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.593555 | [
0.8537290870386398,
1.0993162182345855,
0.09947137847186463,
0.6593947890475286,
0.3999242513560946,
0.9658343043508715,
1.0003776102064528
] | {
"n_parameters": 7,
"n_qubits": 11,
"optimal_eigenvalue": -22.5,
"target_ratio": 0.97,
"target_value": -21.825
} | 180 |
251c225029b23900c5d41a0a241e8f62 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [5994, 5982], "expectation_value": -1.6750535004617029, "params": [[[0.7948000000000001, 0.17470000000000002, 0.0057, 0.0022], [0.2651, -0.3422, 0.8012, 0.022600000000000002], [0.7944, 0.06520000000000001, 0.8044, -0.2204], [-0.2776, -0.0461, 0.2076, 0.34600000000000003], [0.1872, -0.5888, -0.0097, -0.6983],... | 0.5 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(5) @ Z(3)) + 0.0625 * (Z(5) @ Z(4)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0)... | 11 | 13 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eig... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.4736268371542338) q[0];
rz(-0.122847111341981) q[0];
ry(1.447375041311368) q[1];
rz(-0.21821365704593082) q[1];
cx q[1], q[0];
ry(-0.6970336969324273) q[0];
rz(0.18220853940307208) q[0];
ry(0.6588213546960189) q[1];
rz(0.2338143718655757) q[1];
ry(1.82391628025566... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZIZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIZIIIZ",
"IIIIIIIZIIIIZ",
"IIIIIIIIIZZII",
"IIIIIIIIZIZII",
"IIIIIIIZIIZII",
"IIIIIIIIZZIII",
"IIIIIIIZIZIII",
"IIIIIIIZZIIII",
"IIIIIIIIIZZIZ",
"IIIIIIIIZIZIZ",
"IIIIIIIZIIZIZ",
"IIIIIIIIZZIIZ",
"IIIIIIIZIZIIZ",
"IIIIIIIZZII... | [
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.5,
0.125,
0.125,
0.125,
0.12... | 0.973828 | [
0.4736268371542338,
-0.122847111341981,
1.447375041311368,
-0.21821365704593082,
1.8239162802556628,
0.14945613049568937,
-0.2763167545219362,
-0.21216148033448293,
0.06994388806984095,
0.16160993324535441,
-0.008597506656845258,
0.18272944424579318,
-0.04179338265250071,
0.997951130456255... | {
"n_parameters": 92,
"n_qubits": 13,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 152 |
3d1dde02abe951da208ed22501079cfd | 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": 1, "target": 2}, {"source": 1, "ta... | {"states": [6, 7], "expectation_value": -11.535494827277759, "params": [[[0.48750000000000004, 0.17320000000000002], [0.4827, 0.1693], [0.48900000000000005, -0.17350000000000002], [0.4753, 0.1752], [0.39990000000000003, -0.1967], [0.792, 0.0019], [0.7888000000000001, 0.0019], [0.7876000000000001, 0.0018000000000000002]... | 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)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 1 | 8 | 2 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(0.01916910831901575) q[0];
ry(0.040011321484877946) q[0];
rz(-0.3297910839494538) q[0];
rz(-0.6279459329093449) q[1];
ry(0.04144721688536006) q[1];
rz(1.3890117666592916) q[1];
rz(1.2678448526061201) q[2];
ry(0.3643402784305616) q[2];
rz(-2.253218816818194) q[2];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"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,
3,
3,
3,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
2.75,
-7,
-7,
-7,
-7,
-7.5,
-6.25,
-6.5,
-6.25
] | 0.973939 | [
-0.06665264922991992,
-0.536085762019275,
0.05219494770080912,
0.4134012993974177,
0.2394787235997971,
-0.7739367453951336,
0.4866368394148667,
-0.0401288681240079,
0.008567340947978966,
0.15545946273142092,
1.3726489496448595,
0.04126656472357189,
0.9034759098953484,
1.9977648676974686,
... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 17 |
15a5f37f6b324be94a7fa874923284e5 | kclique | qaoa | {"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": [21, 7], "expectation_value": -13.068900117607978, "params": [[-0.0368, -0.0285, -0.023100000000000002, 0.0407], [0.055900000000000005, 0.0656, 0.0668, 0.0309]], "bitstrings": ["11101010", "11111000"], "total_optimization_steps": 10, "probabilities": [0.012280607760290864, 0.012904087046407475], "optimizatio... | 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 |
-2812752969993244451 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[9, 4, 5, 7], [0, 1, 2, 3, 9, 10], [9, 2, 5], [8, 1, 5, 0], [2, 4, 5, 6, 8, 10], [8, 0, 10, 3], [1, 4, 5, 7, 8], [1, 3, 8, 9, 10], [2, 3, 7, 8, 10], [0, 2, 4, 7, 8, 9, 10], [0, 2, 3, 6, 7, 10], [0, 1, 3, 7, 8]]} | {"states": [2017, 2025], "expectation_value": -2.5565845933768654, "params": [[[3.1391, 0.0055000000000000005], [3.1441000000000003, 0.0059], [3.1388000000000003, 0.0066], [3.1390000000000002, 0.006500000000000001], [3.1389, 0.0071], [3.1394, 0.0063], [0.025, 0.0095], [1.6531, 0.0067], [0.0013000000000000002, 0.0062000... | 0.10714285714285714 * (Z(9) @ Z(4)) + 0.16666666666666669 * (Z(5) @ Z(4)) + 0.25 * (Z(5) @ Z(9)) + 0.15714285714285714 * (Z(7) @ Z(4)) + 0.10714285714285714 * (Z(7) @ Z(9)) + 0.13333333333333333 * (Z(7) @ Z(5)) + 0.023809523809523808 * (Z(0) @ Z(4)) + 0.05714285714285714 * (Z(0) @ Z(9)) + 0.08333333333333333 * (Z(0) @ ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-2.6071428571428585], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.573809523809524, "smallest_bitstrings": ["00000010110"], "largest_eigenvalue": 11.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(3.107990441292986) q[0];
rz(-0.02875814747676473) q[0];
rx(2.988849646985064) q[1];
rz(0.11114996298777056) q[1];
rx(3.1665261782935437) q[2];
rz(0.1827576620492531) q[2];
rx(3.1508384823752724) q[3];
rz(0.08566405830273165) q[3];
rx(3.121265462640188) q[4];
rz(0.17... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IZIIIIZIIII",
"IIIIIZZIIII",
"IZIIIZIIIII",
"IIIZIIZIIII",
"IZIZIIIIIII",
"IIIZIZIIIII",
"IIIIIIZIIIZ",
"IZIIIIIIIIZ",
"IIIIIZIIIIZ",
"IIIZIIIIIIZ",
"IIIIIIZIIZI",
"IZIIIIIIIZI",
"IIIIIZIIIZI",
"IIIZIIIIIZI",
"IIIIIIIIIZZ",
"IIIIIIZIZII",
"IZIIIIIIZII",
"IIIIIZIIZII",
"IIIZIIIIZ... | [
0.10714285714285714,
0.16666666666666669,
0.25,
0.15714285714285714,
0.10714285714285714,
0.13333333333333333,
0.023809523809523808,
0.05714285714285714,
0.08333333333333333,
0.10714285714285715,
0.05,
0.08333333333333334,
0.13333333333333333,
0.1,
0.16666666666666669,
0.05714285714285... | 0.980317 | [
3.107990441292986,
-0.02875814747676473,
2.988849646985064,
0.11114996298777056,
3.1665261782935437,
0.1827576620492531,
3.1508384823752724,
0.08566405830273165,
3.121265462640188,
0.1716230101595192,
3.177551714656495,
0.12072622843921493,
0.11356587586610631,
-0.1986999647746574,
1.672... | {
"n_parameters": 22,
"n_qubits": 11,
"optimal_eigenvalue": -2.6071428571428585,
"target_ratio": 0.97,
"target_value": -2.5289285714285725
} | 1 |
725c9b512790b6f65e71b3c284e6ef0c | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5}]} | {"states": [28, 31], "expectation_value": -0.3925159082169438, "params": [[0.0785], [-0.07830000000000001]], "bitstrings": ["00011", "00000"], "total_optimization_steps": 10, "probabilities": [0.038638737681090295, 0.038638737681090295], "optimization_time": 0.7778782844543457} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 1.0 * Z(4) + -1.0 * Z(3) | 5 | 5 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["00000", "00011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-1.2092259966300754) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-1.2092259966300754) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.36626893194598403) q[1];
cx q[0], q[1];
rz(-0.3662689319459842) q[0];
rx(-0.8807098386931145) q[0];
rz(-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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(x1) q[1];
cx q[0... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIZIZ",
"IIZZI",
"IIIZZ",
"ZZIII",
"IIZII",
"IIIIZ",
"IIIZI",
"ZIIII",
"IZIII"
] | [
-1.5,
-1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.60193 | [
-1.2092259966300754,
-0.36626893194598403,
0.7796489636954859,
0.4751616547745804,
-0.8807098386931146
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 154 |
605742faa50c2e92c07356e058fd303f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [253, 245], "expectation_value": -1.6255434843051237, "params": [0.1033, 0.265, 0.6015, 0.0872, 0.5943, 0.07640000000000001, 0.5833, 0.0697, 0.5867, 0.1681, 0.3775, 0.16640000000000002, 0.6042000000000001, 0.202, 0.09910000000000001, 0.27790000000000004, 0.6003000000000001, 0.0838, 0.10590000000000001, 0.259... | 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(0) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(1) @ Z(5)) + -0.125 * (Z(4) @ Z(1) ... | 18 | 9 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.25, "smallest_bitstrings": ["100001010", "010100010", "100010001"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.2519734558329277) q[0];
rz(0.3651187390109438) q[0];
rx(0.549123536582348) q[1];
rz(0.1729633947430669) q[1];
rx(0.43121785023168274) q[2];
rz(-0.3977475527083846) q[2];
rx(0.7480155259603805) q[3];
rz(0.11334574533755185) q[3];
rx(0.9524074886463487) q[4];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIZIIIZI",
"IIZIIIIZI",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIZZIIZI",
"IIZIZIIZI",
"IIZZIIIZI",
"IIZZZIIII",
"IIZZZIIZI",
"IZIIZIIII",
"IIIIIZZII",
"IIIZIIZII",
"ZIIIIIZII",
"IIIZIZIII",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
-0.25,
0.125,
0.125,
-0.... | 0.973344 | [
-0.25197345583292763,
0.2954298013317361,
0.549123536582348,
0.1729633947430669,
0.43121785023168274,
-0.3977475527083846,
0.7480155259603805,
0.11334574533755185,
0.9524074886463487,
0.09007031560592105,
-0.034370920448749724,
0.1359556355151768,
0.6730941809643614,
0.021375644081781026,
... | {
"n_parameters": 106,
"n_qubits": 9,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 14 |
61fc58e7ea5c0b858181cef6a00713e4 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 6}, {"weight": 6, "source": 2, "target": 3}, {"weight": 13, "source": 2, "targ... | {"states": [444, 188], "expectation_value": -29.483526601030313, "params": [[0.0284, -0.00030000000000000003, -0.0083, -0.0019], [-0.081, -0.0621, -0.050300000000000004, -0.045000000000000005]], "bitstrings": ["001000011", "101000011"], "total_optimization_steps": 10, "probabilities": [0.007840605825558768, 0.011154869... | 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(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 9.0 * Z(1) +... | 1 | 9 | 4 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["101000011"], "largest_eigenvalue": 154.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.02185145395977517) q[0];
cx q[1], q[0];
rz(-0.5588018792017229) q[0];
rx(-0.27985469452490175) q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.02185145395977517) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(0.02185145395977517) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIZIIIZII",
"IIZIZIIII",
"IIIZIZIII",
"IIIZIIZII",
"IIZZIIIII",
"IZIIIZIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
9,
-2.5,
15.5,
12,
18.5,
15,
17,
0.5,
6
] | 0.975691 | [
0.02185145395977517,
1.4317424449049956,
-0.5588018792017233,
1.5603082420547552,
0.19242374383339958,
1.3485735240723389,
1.011065840572277,
1.498856394896067,
-1.3092618702660563,
-0.32745955943144156,
-0.2798546945249017,
0.11900811374185843,
0.3243858040133379,
-0.6130932728853596,
0... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -86,
"target_ratio": 0.97,
"target_value": -83.42
} | 53 |
63ad1599f1fdc150fea495e3f4eaeb55 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [598, 854], "expectation_value": -2.1070322920001736, "params": [[[0.5962000000000001, 0.08320000000000001], [0.6042000000000001, 0.0553], [-0.0145, 0.0184], [0.6074, 0.0804], [0.364, 0.3007], [0.6048, 0.18530000000000002], [0.5693, 0.0674], [0.1887, 0.5939], [0.6066, 0.5947], [0.5972000000000001, 0.0878]], ... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 15 | 10 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -2.5, "smallest_bitstrings": ["1010001001", "0010011010", "0010011001", "0010010110", "0011001001", "0011000110", "0011000101", "0010111000", "1010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.9928102323017777) q[0];
ry(1.1545297914166737) q[1];
ry(0.22889566914164394) q[2];
ry(1.2288248329253564) q[3];
ry(0.5662430360482972) q[4];
ry(0.7636314466276866) q[5];
ry(0.8837950446444086) q[6];
ry(0.5915965674377509) q[7];
ry(1.4225594251189457) q[8];
ry(0.66... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIIZZIIZ",
"IIIIZIZIIZ",
"IIIIZZIIIZ",
"IIIIZZZIII",
"IIIIZZZIIZ",
"IIZZIIIIII",
"IIIZIIZIII",
"IZIIIIZIII",
"IZIZIIIIII",
"IZIZIIZIII"... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.12... | 0.972925 | [
0.9928102323017777,
1.1545297914166737,
0.22889566914164394,
1.2288248329253564,
0.5662430360482972,
0.7636314466276866,
0.8837950446444086,
0.5915965674377509,
1.4225594251189457,
0.6662676926328734,
-0.08505446300233785,
-0.025670184491829735,
-0.02053504608634811,
-0.014953512164752731,... | {
"n_parameters": 59,
"n_qubits": 10,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 86 |
b2a86e79e509d0d76748a475959a4d60 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 6}, {"weight": 13, "source": 1, "target": 3}, {"weight": 3, "source": 2, "target": 3}, {"... | {"states": [117, 109], "expectation_value": -41.004218316278234, "params": null, "bitstrings": ["10001010", "10010010"], "total_optimization_steps": 100, "probabilities": [0.07928601898643785, 0.4494797943354079], "optimization_time": 168.28558111190796} | 4.0 * (Z(0) @ Z(2)) + 4.0 * (Z(1) @ Z(2)) + 4.0 * (Z(1) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 9.5 * Z(2) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 145.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.10531842151091338) q[0];
cx q[3], q[0];
rz(0.4891930059834122) q[0];
rx(-0.0661317683158416) q[0];
cx q[3], q[1];
rz(0.10531842151091338) q[1];
cx q[3], q[1];
cx q[1], q[2];
rz(0.10531842151091338) q[2];
cx q[1], q[2];... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(34.778) 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[... | [
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
9.5,
0.5,
18.5,
5.5,
22,
15,
4.5,
13.5
] | 0.981939 | [
0.10531842151091338,
-0.9612079782757411,
0.4891930059834108,
-0.3889941233568148,
0.09888614070956181,
-0.06613176831584158,
-0.15982742550497311,
-0.9131467726130178,
-0.7744447103826919,
0.963045529704064,
-0.42018965464630975,
0.1277451781058455,
0.12286825244091745,
-0.142262780034014... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 44 |
dc8ac5f82febba9dcace181eb5c76eb3 | 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": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": ... | {"states": [22, 21], "expectation_value": -0.9068187136822208, "params": [[-0.061700000000000005, -0.0651, -0.0375, -0.0675], [0.06910000000000001, 0.07680000000000001, 0.0591, 0.0636]], "bitstrings": ["101001", "101010"], "total_optimization_steps": 10, "probabilities": [0.028953200423320346, 0.030206701917055392], "o... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["101001", "101010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.009159858931667007) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.009159858931667007) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.009159858931667007) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.009159858931667007) 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] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"ZIIZII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-0.5,
-0.5,
0
] | 0.813356 | [
0.009159858931667007,
0.12494940013551502,
-0.9996743752342083,
-1.0785898614158156,
0.2672658208067165,
1.0891742212764537,
-1.2802161128055969,
0.024697662159371404,
0.6853541264808383,
-0.33614577142982505,
-0.6001841465958335,
0.46393008337570263,
0.1161236905431224,
-0.536284086667138... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 415 |
-1842749888090132038 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 4, 5, 6, 7], [1, 2, 3, 4, 5, 6, 7, 8], [0, 1, 2, 3, 6, 8], [0, 1, 4, 5, 8], [0, 1, 2, 4, 6, 8], [0, 3, 5, 7, 8], [0, 1, 2, 3, 4, 6], [0, 1, 5, 6, 7, 8], [0, 1, 2, 3, 4, 7, 8]]} | {"states": [125, 183], "expectation_value": -0.39131476465262205, "params": [[-0.1741], [0.1763]], "bitstrings": ["110000010", "101001000"], "total_optimization_steps": 20, "probabilities": [0.002488102914512399, 0.002494914357621294], "optimization_time": 6.085558176040649} | 0.23095238095238094 * (Z(0) @ Z(1)) + 0.16547619047619047 * (Z(2) @ Z(1)) + 0.14761904761904762 * (Z(2) @ Z(0)) + 0.18214285714285713 * (Z(4) @ Z(1)) + 0.16428571428571428 * (Z(4) @ Z(0)) + 0.13214285714285715 * (Z(4) @ Z(2)) + 0.125 * (Z(5) @ Z(1)) + 0.15714285714285714 * (Z(5) @ Z(0)) + 0.041666666666666664 * (Z(5) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.7119047619047616], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7083333333333335, "smallest_bitstrings": ["101001000"], "largest_eigenvalue": 9.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.014882754513874736) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.20899514234059374) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.11439207563189216) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.0976233031378128) 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] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"... | [
0.23095238095238094,
0.16547619047619047,
0.14761904761904762,
0.18214285714285713,
0.16428571428571428,
0.13214285714285715,
0.125,
0.15714285714285714,
0.041666666666666664,
0.09166666666666667,
0.175,
0.15714285714285714,
0.14166666666666666,
0.10833333333333334,
0.075,
0.0988095238... | 0.970565 | [
-0.014882754513874736,
-0.20899514234059374,
-0.11439207563189216,
-0.0976233031378128,
0.020415284662896827,
0.07063803079211145,
0.007080246740051447,
-0.15330566977516097,
-0.09095462536896609,
-0.06378391522090682,
-2.307787975135253,
-0.06650055585338152,
-0.007027910135835348,
0.0057... | {
"n_parameters": 34,
"n_qubits": 9,
"optimal_eigenvalue": -1.7119047619047616,
"target_ratio": 0.97,
"target_value": -1.6605476190476187
} | 177 |
23c6590e387f05fe94993d0724eddf92 | 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": 18, "source": 0, "target": 5}, {"weight": 15, "source": 1, "target": 2}, {"weight": 15, "source": 1, "tar... | {"states": [238, 234], "expectation_value": -35.81332369109536, "params": [[-0.0373, 0.0009000000000000001, 0.0022, 0.0076], [0.0751, 0.06430000000000001, 0.06330000000000001, 0.0558]], "bitstrings": ["100010001", "100010101"], "total_optimization_steps": 10, "probabilities": [0.012384414610923808, 0.018158016268020154... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-94.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 166.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.14501455624980522) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.14501455624980522) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.14501455624980522) q[2];
cx q[0], q[2];
rz(1.0344845210050462) q[0];
rx(0.21505856718922917) q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIIZI",
"IIIZZIIII",
"IIZIIIIZI",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
18,
5,
16.5,
12,
2,
16,
6,
22.5,
0.5
] | 0.979007 | [
0.14501455624980522,
-1.1901499906840702,
1.034484521005045,
-1.1814458861271198,
-1.3843402858965694,
0.3911871449489383,
-0.9634332922169215,
-0.06329978252250862,
-1.6711687726871434,
0.7920633333394742,
0.21505856718922908,
-0.15099145941507233,
-0.33983126580977296,
0.6487549786021121... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -94,
"target_ratio": 0.97,
"target_value": -91.17999999999999
} | 65 |
-4982085883206237749 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 3, 5, 6, 7, 8], [0, 2, 3, 4, 6, 7, 8, 9, 11], [0, 1, 2, 3, 4, 5, 6, 8, 10, 11], [0, 2, 4, 5, 7, 9, 11], [1, 4, 7], [9, 10, 7], [0, 2, 4, 5, 6, 7, 8, 10, 11], [2, 3, 4, 5, 7, 11], [0, 1, 2, 3, 6, 7, 8, 9, 11], [1, 2, 3, 7, 10, 11], [1, 5, 7, 10, 11]]} | {"states": [4089, 3961], "expectation_value": -2.2338745992666698, "params": [2.5853, -0.0026000000000000003, 1.8456000000000001, 0.0025, 2.7057, -0.0032, 3.0717000000000003, 0.29860000000000003, 1.7396, -0.3967, 2.6981, 0.003, 2.7013000000000003, 0.0026000000000000003, 2.9695, 0.0008, 3.1398, -0.8205, 0.0025, 1.0142, ... | 0.07222222222222222 * (Z(0) @ Z(5)) + 0.07777777777777778 * (Z(7) @ Z(5)) + 0.08214285714285716 * (Z(7) @ Z(0)) + 0.07222222222222222 * (Z(8) @ Z(5)) + 0.08611111111111111 * (Z(8) @ Z(0)) + 0.058333333333333334 * (Z(8) @ Z(7)) + 0.12777777777777777 * (Z(9) @ Z(5)) + 0.09880952380952382 * (Z(9) @ Z(0)) + 0.1543650793650... | 4 | 12 | 1 | {"smallest_eigenvalues": [-2.312698412698413, -2.312698412698413, -2.312698412698413], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.3126984126984125, "smallest_bitstrings": ["000100001100", "000100000110", "000010000110"], "largest_eigenvalue": 11.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(2.7251759258871107) q[0];
rz(1.5675760316007734) q[0];
rx(1.8989312374538694) q[1];
rz(1.4884402275566035) q[1];
rx(2.708608568743955) q[2];
rz(1.6664649331241908) q[2];
rx(3.1065726269262437) q[3];
rz(1.703681098325946) q[3];
rx(1.562139859209968) q[4];
rz(1.254673... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIIZIIIIZ",
"IIIIZIZIIIII",
"IIIIZIIIIIIZ",
"IIIZIIZIIIII",
"IIIZIIIIIIIZ",
"IIIZZIIIIIII",
"IIZIIIZIIIII",
"IIZIIIIIIIIZ",
"IIZIZIIIIIII",
"IIZZIIIIIIII",
"IZIIIIZIIIII",
"IZIIIIIIIIIZ",
"IZIIZIIIIIII",
"IZIZIIIIIIII",
"IZZIIIIIIIII",
"IIIIIIZZIIII",
"IIIIIIIZIIIZ",
"IIIIZIIZI... | [
0.07222222222222222,
0.07777777777777778,
0.08214285714285716,
0.07222222222222222,
0.08611111111111111,
0.058333333333333334,
0.12777777777777777,
0.09880952380952382,
0.15436507936507937,
0.075,
0.07222222222222222,
0.08611111111111111,
0.058333333333333334,
0.08611111111111111,
0.075,... | 0.972926 | [
2.7251759258871107,
-0.003220295194123091,
1.8989312374538692,
-0.08235609923829276,
2.708608568743955,
0.09566860632929373,
3.1065726269262437,
0.13288477153104997,
1.562139859209968,
-0.3161223857895813,
2.7143409883210246,
-0.02950354485270545,
2.5611641101291363,
-0.03708599562832957,
... | {
"n_parameters": 34,
"n_qubits": 12,
"optimal_eigenvalue": -2.312698412698413,
"target_ratio": 0.97,
"target_value": -2.2433174603174604
} | 1 |
69144809aea48cb46eae9c3950f24a15 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [1783, 1781], "expectation_value": -4.470521740363575, "params": [1.3484, 0.0032, 2.8748, 0.0022, 3.0291, 0.009000000000000001, 1.2917, 0.0061, 2.1088, 0.001, 3.104, 0.006500000000000001, 3.1531000000000002, 0.0036000000000000003, 3.1583, 0.0061, 1.4864000000000002, 0.0004, 3.0787, 0.009600000000000001, 1.54... | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * ... | 18 | 12 | 1 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["100001100010", "100100001010", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.12397642308111168) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.12397642308111168) q[0];
cx q[1], q[0];
rz(-1.0412824378997723) q[0];
rx(-0.6835570607299903) q[0];
rz(0.6551677416149957) q[1];
rx(-0.6835570607299903) q[1];
rz(-1.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIZIIZIIIIII",
"IIZIIIIIIIIZ",
"IZIIZIIIIIII",
"IZIIIIIIIIZI",
"IZZIIIIIIIII",
"ZIIZIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.75,
0.75,
0.75,
1,
1,
1,
0.75,
0.75,
0.75,
1,
1,
1
] | 0.983631 | [
0.12397642308111168,
-1.0412824378997723,
0.6551677416149958,
-0.6835570607299902,
0.023146836072959226,
-0.5048269617904716,
0.6814886991250588,
-0.7325852103426811,
0.006386053532258323,
-0.47655542685563346,
0.11597712833781966,
-0.2813397718212035
] | {
"n_parameters": 12,
"n_qubits": 3,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
2d66a63516707ef6fa08689003d445e4 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capaci... | {"states": [62, 31], "expectation_value": -3.836347813176304, "params": [[[-0.0049, -0.0046], [-0.0059, 0.6275000000000001], [-0.0028, -0.0032], [0.004, 0.0021000000000000003], [1.0639, 0.0029000000000000002], [-0.667, -0.0019]], [[-0.00030000000000000003, -0.5928], [0.0002, -0.0019], [-0.0024000000000000002, -0.0027],... | -0.25 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.75 * Z(1) + 0.25 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) | 15 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.045249314476118775) q[0];
ry(-0.09669560328563567) q[1];
ry(-0.03838379751098028) q[2];
ry(0.014164474914697217) q[3];
ry(1.3425228774533042) q[4];
ry(-1.5424621818592792) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], 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": 5} | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IZIIZI",
"IIIZZI",
"IZZIII",
"IIZIZI",
"ZIIIIZ",
"ZIIIZI",
"ZIIZII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-0.25,
-0.5,
-0.75,
-1,
-0.5,
0.5,
-0.5,
-0.5,
0.25,
-0.25,
0.75,
0.25,
-0.5,
-0.5
] | 0.975709 | [
-0.045249314476118775,
-0.09669560328563567,
-0.03838379751098028,
0.014164474914697217,
1.3425228774533042,
-1.5424621818592792,
0.042932205280697015,
0.41990295334686945,
-0.08410675703429009,
0.011798461387283209,
-0.05732375796055354,
-0.015000365546906917,
-0.27227999211895876,
0.0942... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 97 |
73162755fd3fb63ec250bb0297031b85 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [5, 7], "expectation_value": -3.0719352683002965, "params": null, "bitstrings": ["111010", "111000"], "total_optimization_steps": 29, "probabilities": [0.13263570914780165, 0.6774955918682292], "optimization_time": 21.383711099624634} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(5) + -1.0 * Z(1) + 0.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["110010", "111000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.22579406431789806) q[0];
h q[1];
ry(-0.22579406431789806) q[1];
h q[2];
ry(-1.3560969488988168) q[2];
h q[3];
cx q[3], q[1];
ry(0.22579406431789806) q[1];
cx q[3], q[1];
ry(-0.8255410643066695) q[1];
ry(1.359318218961168) q[3];
ry(-1.0688172905350661) 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(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"ZIIIIZ",
"IIIZZI",
"IZIIZI",
"IIZIZI",
"IIIZII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
0,
-1,
0
] | 0.972602 | [
-1.3560969488988168,
-0.9253424096927959,
-0.4515881286357961,
1.060970966441094,
-0.6027635840281764,
0.5966945050401478,
0.4264757054800475,
-0.4240802228934878,
-0.4455549605569864,
0.8467267468659311,
1.759953496058666,
-0.2334806334765544,
-0.13577340237349522,
0.06205456582507352,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 11 |
3edaf02080dd4f2f34de124f69ca8c1c | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [21999, 24047], "expectation_value": -3.978744958270485, "params": [[0.0724, 2.5329, -0.0216, 2.3469, -0.4575, 0.6977, -0.4234, 0.3347, 0.3904, 0.2906, 0.5362, 0.1477, 2.0676, -0.13090000000000002, 0.4066, 0.4244], [0.154, 0.6094, 0.054400000000000004, 0.8107000000000001, 1.5025000000000002, 2.4493, 0.563000... | 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)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(3) @ Z(6)) + 0.0625 * (Z(7) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(7) @ Z(4)) + 0.0625 * (Z(5) @ Z(6)) + 0.0625 * (Z(7) @ Z(5... | 10 | 16 | 1 | {"smallest_eigenvalues": [-4.7187500000000036], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.71875, "smallest_bitstrings": ["1010001000010000"], "largest_eigenvalue": 7.2812500000000355} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.14998177780010405) q[0];
ry(3.132322744548159) q[1];
ry(0.2101142822892196) q[2];
ry(2.7281837271741396) q[3];
ry(-0.09003865728064556) q[4];
ry(-0.1262149678024054) q[5];
ry(-0.45465218275571384) q[6];
ry(-0.04767636880660755) q[7];
ry(0.3325816228502928) q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZZZ",
"IIIIIIIIIIIZZIII",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIZIIZIII",
"IIIIIIIIZIIIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIZIIII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIZIIIII",
"IIIIIIIIZZIIIIII",
"IIIIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.0625,
0.... | 0.973959 | [
-0.14998177780010405,
3.132322744548159,
0.2101142822892196,
2.7281837271741396,
-0.09003865728064556,
-0.1262149678024054,
-0.45465218275571384,
-0.04767636880660755,
0.3325816228502928,
0.018934541355018666,
0.2554664640480989,
0.19204851447096838,
2.677386516937803,
-0.16576950063786064... | {
"n_parameters": 32,
"n_qubits": 16,
"optimal_eigenvalue": -4.7187500000000036,
"target_ratio": 0.97,
"target_value": -4.5771875000000035
} | 20 |
-8849274565359226034 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 2, 4, 5], [1, 3], [0, 2, 3, 4]]} | {"states": [58, 15], "expectation_value": -0.3556821803783379, "params": [[-0.4137], [0.41000000000000003]], "bitstrings": ["000101", "110000"], "total_optimization_steps": 50, "probabilities": [0.029164978882033944, 0.029164978882033964], "optimization_time": 2.015899896621704} | 0.08333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.9999999999999999, "smallest_bitstrings": ["110000"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.07648332216693902) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.02756486956456482) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(-0.07648332216693902) q[4];
cx q[1], q[4];
h q[5];
cx q[2], q[5];
rz(-0.07648332216693902)... | 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[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[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(x1) q[4];
cx q[2], q[4];
cx q[1... | null | {"circuits": [], "gradients": []} | [
"IIIZZI",
"IZIZII",
"IZIIZI",
"ZIIZII",
"ZIIIZI",
"ZZIIII",
"IIZZII",
"IIZIZI",
"IZZIII",
"IIIZIZ",
"IZIIIZ",
"IIZIIZ",
"IIIZII",
"IIIIZI",
"IZIIII",
"ZIIIII",
"IIZIII",
"IIIIIZ"
] | [
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.24999999999999994,
0.125,
0.24999999999999994,
0... | 0.787219 | [
-0.07648332216693902,
-0.02756486956456482,
-1.534902620331501,
-1.5009695643482726,
0.00041621475369246405,
0.8599559795931836
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 163 |
067bba7d9e0fe420d5884521d34dafa4 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 8}, {"source": 3, "target":... | {"states": [0, 384], "expectation_value": -25.9359114691904, "params": [-0.1273, 2.2526, 0.8438, 0.0026000000000000003, 1.379, -0.0385, 0.5308, -0.1894, -0.0027, 2.2592000000000003, -0.0027, 0.0043, -0.0027, 2.2652, -0.0027, 0.44110000000000005, -0.0027, 2.1468000000000003, -0.0027, 0.0048000000000000004, -0.0027, 2.28... | -1.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(3)) + -2.5 * (Z(7) @ Z(3)) + -2.0 * (Z(7) @ Z(2)) + -3.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + -3.0 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + -3.0 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -3.0 * (Z(4) @ Z(5)) + 1.0 ... | 8 | 9 | 1 | {"smallest_eigenvalues": [-27.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.0, "smallest_bitstrings": ["001111111"], "largest_eigenvalue": 29.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.05041179258029833) q[0];
rz(-2.719909479765745) q[0];
rx(1.7200972629910236) q[1];
rz(0.07103285617585892) q[1];
cx q[1], q[0];
ry(-1.2588516050312197) q[0];
cx q[1], q[0];
ry(2.0108675025537255) q[0];
rz(-1.3651713995873385) q[0];
rx(0.5640473340304691) q[1];
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[... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IZIIIZIII",
"IZIIIIZII",
"IIIZIZIII",
"IIIZIIZII",
"IZIZIIIII",
"IIZIIZIII",
"IIZIIIZII",
"IZZIIIIII",
"IIZZIIIII",
"IIIIZZIII",
"IIIIZIZII",
"IIIZZIIII",
"IIZIZIIII",
"ZIIIIZIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZIIIZIIII",
"IIIIIIIZI",
"... | [
-1,
-3,
-2.5,
-2,
-3.5,
1,
0.5,
-3,
0.5,
0.5,
-3,
0.5,
0.5,
-3,
1,
0.5,
0.5,
1.5,
-3,
-2.5,
0.5,
0.5,
1.5,
-3,
1,
-3,
1.5,
-2,
-2.5
] | 0.971329 | [
-0.05041179258029833,
1.992479500618945,
1.7200972629910236,
0.07103285617585892,
-0.02802732907657934,
2.2213423494053908,
2.1812334608546644,
2.2393393674732027,
2.37894927863878,
0.053218482574419204,
2.078452795928211,
2.1905455456001133,
2.287761856560583,
2.5177032100624395,
0.7842... | {
"n_parameters": 32,
"n_qubits": 9,
"optimal_eigenvalue": -27,
"target_ratio": 0.97,
"target_value": -26.189999999999998
} | 5 |
b72451fd8beb69606a84f4be9a392c11 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 4, "source": 2, ... | {"states": [125, 1], "expectation_value": -1.3288124810254014, "params": [[0.0776], [-0.0847]], "bitstrings": ["10000010", "11111110"], "total_optimization_steps": 10, "probabilities": [0.006361944191542645, 0.006848939068278559], "optimization_time": 2.5704381465911865} | -1.0 * (Z(0) @ Z(4)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -1.0 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + 2.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -13.0, "smallest_bitstrings": ["11111110", "11000010", "10000010"], "largest_eigenvalue": 13.0} | 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[0];
rz(4.5847965068196375e-09) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(-0.047144458058862276) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[2];
rz(4.5847965068196375e-09) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIZZIIII",
"IIZIIIIZ",
"IZIIIIIZ",
"IZZIIIII",
"IIIZIZII",
"IZIIIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IIIIZZII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"IIIZIIZI",
"IIZIIIZI",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII",
"ZIIIIII... | [
-1,
-1.25,
-0.75,
-0.75,
-0.25,
-1,
-1,
-1,
-0.75,
-1,
-1,
2.75,
-0.75,
-1,
-0.5,
-0.75,
0.75,
-0.25,
0.25,
-3,
1.75,
0.75,
1,
-1.25
] | 0.897762 | [
4.5847965068196375e-9,
-0.047144458058862276,
1.958412113975725e-8,
-0.5570436665027615,
-6.440595128275094e-8,
-5.3799991138860575e-8,
1.5707963359197723,
1.5707963772985278,
-1.5707963090253823,
1.5707963669799336,
1.570796306035255,
-1.570796301813503
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 287 |
-5361632518980720861 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 6], [0, 2, 3, 4, 5], [6, 7], [2, 3, 5, 6, 8], [0, 3, 4, 5, 6], [1, 2, 3, 4], [1, 2, 5, 7], [4, 7], [0, 8, 2], [0, 2, 3, 5, 6], [0, 1, 3, 5, 7]]} | {"states": [482, 427], "expectation_value": -1.082558730291754, "params": [[-0.28290000000000004], [0.2773]], "bitstrings": ["000011101", "001010100"], "total_optimization_steps": 30, "probabilities": [0.005792264531186148, 0.005949363030068366], "optimization_time": 7.71105432510376} | 0.5 * (Z(1) @ Z(6)) + 0.1 * (Z(0) @ Z(6)) + 0.05 * (Z(0) @ Z(1)) + 0.1 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.26666666666666666 * (Z(2) @ Z(0)) + 0.15000000000000002 * (Z(3) @ Z(6)) + 0.13333333333333333 * (Z(3) @ Z(1)) + 0.2 * (Z(3) @ Z(0)) + 0.23333333333333334 * (Z(3) @ Z(2)) + 0.05 * (Z(4) @ Z(6)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.050000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.9666666666666663, "smallest_bitstrings": ["001010100"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[1];
rz(0.017801868363387357) q[1];
cx q[6], q[1];
cx q[6], q[0];
rz(0.015326415030363319) q[0];
cx q[6], q[0];
cx q[1], q[0];
rz(0.013655722629340688) q[0];
cx q[1], q[0];
cx q[6], q[2];
rz(0.01532641503... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIZIIIIZI",
"IIZIIIIIZ",
"IIIIIIIZZ",
"IIZIIIZII",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIZIIZIII",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIZIZIIII",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIZZIIIII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"... | [
0.5,
0.1,
0.05,
0.1,
0.16666666666666666,
0.26666666666666666,
0.15000000000000002,
0.13333333333333333,
0.2,
0.23333333333333334,
0.05,
0.08333333333333333,
0.1,
0.13333333333333333,
0.18333333333333335,
0.15000000000000002,
0.13333333333333333,
0.2,
0.23333333333333334,
0.25,... | 0.970898 | [
0.017801868363387357,
0.015326415030363319,
0.013655722629340688,
0.002697440862797877,
-1.1987764771027503,
0.0033330175356663383,
0.02559707531317108,
-0.001008725107732908,
0.048360048901895186,
0.0004927623239633951,
0.008183887478224385,
-0.022394909040805606,
-0.1753875810844281,
1.5... | {
"n_parameters": 21,
"n_qubits": 9,
"optimal_eigenvalue": -3.050000000000001,
"target_ratio": 0.97,
"target_value": -2.9585000000000012
} | 212 |
7045b11d9eb140d2e8e06a7ee0e1d0cd | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [3550, 3534], "expectation_value": -1.420522060147533, "params": [0.7962, -0.008700000000000001, 0.7946000000000001, 0.0704, 0.13, 0.35700000000000004, 0.7563000000000001, 0.1603, 0.7111000000000001, 0.1925, 0.797, 0.1419, 0.37610000000000005, -0.1925, 0.47450000000000003, 0.19870000000000002, 0.7094, 0.2047... | 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(3) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(6)) + -0.125 * (Z(... | 16 | 12 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 36, "first_excited_energy": -2.5, "smallest... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.798431979915152) q[0];
rz(-0.17275331495276713) q[0];
rx(1.3666548082043841) q[1];
rz(-0.31277238259750534) q[1];
cx q[1], q[0];
rz(0.08864831119230795) q[0];
cx q[1], q[0];
rx(0.8659713299684549) q[0];
rz(0.024715793281333553) q[0];
rz(0.21586385189252139) q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZZZ",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIIIZZZIII",
"IIIIIZIZZIII",
"IIIIIZZIZIII",
"IIIIIZZZIIII",
"IIIIIZZZZIII",
"IIIIZIIIZIII",
"IIIZIIIIZIII",
"IIZIIIIIZ... | [
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,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.... | 0.976346 | [
0.798431979915152,
-0.08410500376045883,
1.3666548082043841,
-0.31277238259750534,
-0.01681220261025767,
0.24468889229174143,
0.864024809545449,
0.2698839902591586,
0.8626935579031989,
-0.19525182705494754,
0.9085917211537792,
0.29292665515296057,
0.1148664652370519,
-0.5203810048903249,
... | {
"n_parameters": 100,
"n_qubits": 12,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 26 |
89d2568fe7c642f4bbe0504cad32fa0e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [1901, 877], "expectation_value": -2.1631237682677504, "params": [[[0.7523000000000001, 0.1279], [1.0015, -0.0004], [0.9985, 0.0011], [0.3433, -0.3291], [1.0071, 0.0018000000000000002], [1.0056, 0.0013000000000000002], [0.0789, -0.4601], [1.0073, 0.0014], [1.0091, -0.0019], [0.0019, 0.5594], [0.9999, -0.003]... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(8) @ Z(0)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(5) @ Z(8)) + 0.125 * (Z(8) @ Z(7)) + -0.125 * (Z(5) @ Z(0) @ Z(7)) + ... | 1 | 11 | 2 | {"smallest_eigenvalues": [-4.6875, -4.6875], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.6875, "smallest_bitstrings": ["01010100010", "10010010010"], "largest_eigenvalue": 7.3125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(0.6510488064459885) q[0];
ry(0.04378588005668577) q[0];
rz(-0.7443653282917815) q[0];
rz(-2.372950594380458) q[1];
ry(3.015884356875483) q[1];
rz(0.5266664547932134) q[1];
rz(1.0926014505365256) q[2];
ry(2.8843575352413366) q[2];
rz(-2.0593346073279606) 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": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIZZIII",
"IIIIZZIIIII",
"IIIIIZIIIIZ",
"IIIZIIIIIIZ",
"IIZIIIIIIIZ",
"IIIZIZIIIII",
"IIZIIZIIIII",
"IIZZIIIIIII",
"IIIZIZIIIIZ",
"IIZIIZIIIIZ",
"IIZZIIIIIIZ",
"IIZZIZIIIII",
"IIZZIZIIIIZ",
"IIIIZIIIIZI",
"IIIZIIIZI... | [
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,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0... | 0.974895 | [
0.16387932263465343,
0.2491945049041832,
1.7476917823925595,
0.09060957008358773,
1.3663464747786893,
-0.11737802334225805,
-0.1689381716647338,
-0.3516920507722845,
1.4477461407260235,
-0.41411261746452094,
1.5214584827655337,
-0.03081034997782897,
0.21269534063256235,
-0.0552520021311211... | {
"n_parameters": 42,
"n_qubits": 11,
"optimal_eigenvalue": -4.6875,
"target_ratio": 0.97,
"target_value": -4.546875
} | 29 |
6e1cfcd2204ce1de490018a33c4c8336 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [49, 12], "expectation_value": -0.6704613998344705, "params": [[-0.0344, -0.041100000000000005, 0.0098, 0.0528], [0.046200000000000005, 0.0587, 0.0273, -0.0196]], "bitstrings": ["1001110", "1110011"], "total_optimization_steps": 10, "probabilities": [0.009643520466616411, 0.0097216478949577], "optimization_t... | 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(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -2.0 * Z(1) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.5, "smallest_bitstrings": ["0101111", "1001111", "1111100", "0111101", "1101110", "1110101", "1110011"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.10524944140705385) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.10524944140705385) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.10524944140705385) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(0.10524944140705385) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIZIII",
"ZIZIIII",
"IZIIIZI",
"IZZIIII",
"IIIZZII",
"IIZIZII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII",
"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,
-2,
-1.5,
-1.5,
-2,
-1.5,
-1,
-1
] | 0.965602 | [
0.10524944140705385,
1.6178561021277917,
0.5876842409715187,
0.2839976003443462,
2.197319763470432,
-0.4187489091311876,
-2.4201465484847358,
1.7324458825809739,
0.9317579780948072,
0.39011893728927943,
1.547836175680747,
0.301634374518978,
-4.133975839128747,
-2.606956390131871,
-0.3203... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 500 |
04261bf7aedc4254a6640ff634a8faee | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [10, 42], "expectation_value": -6.48739935787568, "params": [[0.0004, -0.0217, 0.39830000000000004, 0.0868, 0.4058, 0.1369, 0.4076, 0.0058000000000000005], [-0.0039000000000000003, -0.0161, 0.3955, 0.06330000000000001, 0.3997, 0.1313, 0.4062, 0.0041], [-0.0027, -0.0235, 0.3564, 0.08700000000000001, 0.4088, 0... | 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(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(5) ... | 10 | 8 | 4 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["11110001", "11100101", "01110011", "11010101"], "largest_eigenvalue": 21.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.0038890622852935236) q[0];
ry(0.07193991372250746) q[1];
ry(0.6723948339488325) q[2];
ry(-0.14926336676632404) q[3];
ry(0.41329904042534193) q[4];
ry(0.05857036393019541) q[5];
ry(0.7067929231222404) q[6];
ry(-0.10330044316350001) q[7];
cz q[7], q[6];
cz q[6], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IZIIIIZI",
"IZIIIIIZ",
"IIIZIIZI",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIIZIII",
"ZZIIIIII",
"ZIIZIIII",
"IIZIIZII",
"IIZIZIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"IIIZIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1.5,
-2,
-2,
-1,
-0.5,
-2.5,
-1
] | 0.980138 | [
-0.0038890622852935236,
0.07193991372250746,
0.6723948339488325,
-0.14926336676632404,
0.41329904042534193,
0.05857036393019541,
0.7067929231222404,
-0.10330044316350001,
0.026744732163898707,
-0.12608795058305902,
0.5683529376656637,
0.1395249461301055,
0.6280268372232684,
-0.005506634984... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 6 |
bbe36c72142a04c8b1698fed3f77c25c | 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": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [3, 19], "expectation_value": -0.2485801352489507, "params": [[-0.035300000000000005, -0.0664], [0.0291, 0.064]], "bitstrings": ["11100", "01100"], "total_optimization_steps": 10, "probabilities": [0.03457483958763508, 0.03735340258149718], "optimization_time": 2.7013230323791504} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["01100"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016228639223514973) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.016228639223514973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.016228639223514973) q[2];
cx q[0], q[2];
rz(-1.196649630207868) q[0];
rx(1.6249956830407981) q[0];
h ... | 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZZII",
"ZIIZI",
"ZIZII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-0.5,
-0.5
] | 0.981439 | [
-0.016228639223514973,
1.522688419965938,
-1.1966496302078677,
1.624995683040798,
-0.8755811242009026,
0.7452257823272057,
0.2393407597375708,
0.22077208961471634
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
3bcfe4648282d1b3b76d6f42e87e5c5d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [28, 44], "expectation_value": -3.996398041568144, "params": null, "bitstrings": ["100011", "010011"], "total_optimization_steps": 25, "probabilities": [0.06635196634064289, 0.9303270202946885], "optimization_time": 16.385672569274902} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 * Z(5) + -0.5 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["100011", "010011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.4983893330425997) q[1];
cx q[0], q[1];
ry(0.4983893330425997) q[1];
cx q[0], q[1];
ry(1.066076181721017) q[0];
ry(-0.5938713995022797) q[1];
h q[2];
ry(1.5402154026626123) q[2];
h q[3];
ry(1.5402154026626123) q[3];
ry(-0.17623757719026006) q[4];
rz... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IZIZII",
"ZIZIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IZIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-2,
-0.5,
-1,
-0.5
] | 0.996974 | [
-1.5938656292948508,
-1.3287538149981546,
1.5402154026626123,
-0.9967786660851994,
0.7888739065478406,
-0.13160986921296364,
-0.42930010710070565,
0.5544045503463523,
-0.32914258480314823,
0.19808762382699582,
-0.14239960728529294,
0.027159174901727368,
0.17468980324708977,
-0.025156201310... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
8849535939045375013 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 4, 5], [0, 2, 5], [0, 4, 7], [3, 6], [8, 2, 6], [4, 6], [8, 1]]} | {"states": [496, 369], "expectation_value": -2.6027635999642413, "params": null, "bitstrings": ["000001111", "010001110"], "total_optimization_steps": 65, "probabilities": [0.05394599600642732, 0.7861962139118777], "optimization_time": 89.45939803123474} | 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.5 * (Z(6) @ Z(4... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5000000000000004, "smallest_bitstrings": ["010001110"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
ry(-0.41268649820330133) q[1];
h q[2];
ry(1.5761194327218484) q[2];
h q[3];
h q[4];
h q[5];
ry(-0.051609500514141676) q[5];
cx q[0], q[5];
ry(0.051609500514141676) q[5];
cx q[0], q[5];
ry(1.0986197955214823) q[0];
ry(-0.29742196449656644) q[5];
h q[6];
r... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4449) 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] = m... | [
"IIIIZIZII",
"IIIZZIIII",
"IIIZIIZII",
"IIIIZIIIZ",
"IIIIIIZIZ",
"IIIZIIIIZ",
"IZIIZIIII",
"IZIIIIIIZ",
"IIZIZIIII",
"IIZIIIZII",
"IIZIIZIII",
"ZIIIIIZII",
"ZIZIIIIII",
"ZIIIIIIZI",
"IIIIZIIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIZIIIIII",
"IIIIIZIII",
"... | [
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.33333333333333326,
0.4999999999999999,
... | 0.974008 | [
1.5761194327218484,
-0.4361253879632493,
1.4829057973446766,
-0.4341710332643394,
1.4122893909149175,
-0.46070958729346645,
-0.8253729964066027,
0.9591109282348489,
-0.4476839257141489,
0.46674883409343865,
-0.014073544277604301,
-0.5507126204454097,
-0.10321900102828335,
-0.59484392899313... | {
"n_parameters": 54,
"n_qubits": 9,
"optimal_eigenvalue": -2.8333333333333335,
"target_ratio": 0.97,
"target_value": -2.7483333333333335
} | 24 |
3fb92c2724b637b3a6562529e78f511e | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [345, 218], "expectation_value": -19.087312766935945, "params": [[0.043500000000000004, 0.0039000000000000003], [-0.08700000000000001, -0.055200000000000006]], "bitstrings": ["010100110", "100100101"], "total_optimization_steps": 10, "probabilities": [0.007097493056487517, 0.008887156259703592], "optimizatio... | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(7) @ Z(0)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(8)) + 9.5 * Z(0) + 10.0 * Z(1) + 18.0 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-76.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 144.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(-0.03793116302086931) q[1];
cx q[0], q[1];
h q[2];
cx q[0], q[2];
rz(-0.03793116302086931) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.03793116302086931) q[4];
cx q[1], q[4];
cx q[4], q[2];
rz(-0.03793116302086931) q[2];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIIIZZII",
"IIIZIZIII",
"IIZZIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"IZIIIIIIZ",
"IZIIIIZII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
9.5,
10,
18,
15.5,
7.5,
8.5,
-1.5,
5,
13.5
] | 0.972918 | [
-0.03793116302086931,
-1.4248751134690034,
0.8964339439827548,
1.4787506140257047,
1.5833165455215517,
-1.1332226758853523,
1.2759810525841642,
-1.2072559147152429,
-1.196711431177058,
1.2757363169196658,
-1.3277207555605701,
0.14921189922378797,
-0.33133647995979043,
1.3848966292509064,
... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -76.5,
"target_ratio": 0.97,
"target_value": -74.205
} | 110 |
894479305bde5e958cd01ff3ac905165 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [876, 364], "expectation_value": -95.57811765838603, "params": [[[0.6225, -0.0022], [0.8192, -0.0026000000000000003], [0.0506, 0.0102], [0.532, 0.3413], [0.2826, 0.5607], [0.060500000000000005, 0.6294000000000001], [0.007500000000000001, 0.9837], [0.18680000000000002, 0.9444], [0.6445000000000001, 0.82710000... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(0)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(8) @ Z(6)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(9) @ Z(3)) + 14.0 * Z(1) + 11.0 * Z(0) + 9.0 * ... | 15 | 10 | 4 | {"smallest_eigenvalues": [-106.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -89.5, "smallest_bitstrings": ["1010010011"], "largest_eigenvalue": 177.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.9889838627528722) q[0];
ry(0.909665224921364) q[1];
ry(-0.08210465936374271) q[2];
ry(0.565254920297663) q[3];
ry(0.11992689797337923) q[4];
ry(0.031949164100414595) q[5];
ry(0.09896540394084216) q[6];
ry(0.08136751768430302) q[7];
ry(0.2972766896240451) q[8];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIZZII",
"IIIIIZIIIZ",
"IIIIZZIIII",
"IIIZIIIIIZ",
"IIIZIZIIII",
"IZIZIIIIII",
"IIZIIIIIZI",
"IIZIIIIZII",
"IIZZIIIIII",
"IZZIIIIIII",
"ZIIIIIZIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
14,
11,
9,
9.5,
16.5,
-5,
18.5,
4.5,
18.5,
-3.5
] | 0.970689 | [
0.9889838627528722,
0.909665224921364,
-0.08210465936374271,
0.565254920297663,
0.11992689797337923,
0.031949164100414595,
0.09896540394084216,
0.08136751768430302,
0.2972766896240451,
0.9150247240387824,
0.05918385131629408,
-0.02004470768659521,
0.02683222072814838,
0.2093029953918077,
... | {
"n_parameters": 79,
"n_qubits": 10,
"optimal_eigenvalue": -106.5,
"target_ratio": 0.97,
"target_value": -103.30499999999999
} | 80 |
1c3920daabb0227a05492f21ea1e8a94 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [3414, 1879], "expectation_value": -2.930246549774751, "params": [[[1.568, -1.5679], [-1.2696, 1.5677], [1.5690000000000002, 1.5709000000000002], [-0.0323, 1.5590000000000002], [1.5699, 1.5659], [1.5687, 1.5688], [1.5679, 1.5729], [1.5684, 1.5678], [1.5678, 1.5687], [1.5684, 1.5687], [1.5687, 1.5685], [1.568... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(5) @ Z(6) @ Z(7)) + 0.25 * (Z(5) @ Z(8))... | 15 | 12 | 1 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.437... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.5795564688231858) q[0];
ry(-1.5059711024702052) q[1];
ry(1.570505380031034) q[2];
ry(-1.3616357907889047) q[3];
ry(1.5026721980248223) q[4];
ry(1.5961719395342326) q[5];
ry(1.5016579103841516) q[6];
ry(1.5347637951145106) q[7];
ry(1.630204037481396) q[8];
ry(1.534... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZZZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIIIZZIII",
"IIIIIIIZZIIZ",
"IIIIIZZIIIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIIZZZIIIII",
"IIIZIIZIIIII",
"IIZIIIZIIIII",
"IIZZIIIIIIII",
"IIZZIIZIIIII",
"IIIIIIIIZIZI",
"IIIZIIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
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,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
... | 0.975323 | [
1.5795564688231858,
-1.5059711024702052,
1.570505380031034,
-1.3616357907889047,
1.5026721980248223,
1.5961719395342326,
1.5016579103841516,
1.5347637951145106,
1.630204037481396,
-1.5565353402477407,
1.5863367616386275,
1.5338426397502967,
1.7375609618880026,
1.8122502012617245,
1.59715... | {
"n_parameters": 18,
"n_qubits": 12,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 25 |
2500973695191569336 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 4, 5], [2, 3, 4, 6], [0, 2], [0, 1, 4, 6], [0, 3, 5, 6], [1, 3, 6], [2, 3, 5, 6]]} | {"states": [77, 55], "expectation_value": -0.6690870172332071, "params": [[-0.2647], [0.2657]], "bitstrings": ["0110010", "1001000"], "total_optimization_steps": 30, "probabilities": [0.014928970465685589, 0.01506912650029915], "optimization_time": 2.798861026763916} | 0.25 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.25 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(5)) + 0.416666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9166666666666665, "smallest_bitstrings": ["1001000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(-1.2869679026069946e-08) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(-5.688353393205685e-08) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(-5.688353393205685e-08) q[4];
cx q[1], q[4];
h q[5];
cx q[3], q[5];
rz(-1.28696790260... | 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[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
c... | null | {"circuits": [], "gradients": []} | [
"IIIZIZI",
"IIZZIII",
"IIZIIZI",
"IZIZIII",
"IZIIIZI",
"IZZIIII",
"IIIZZII",
"IIZIZII",
"IZIIZII",
"ZIIZIII",
"ZIIIIZI",
"ZIZIIII",
"ZZIIIII",
"ZIIIZII",
"IIIZIIZ",
"IIIIIZZ",
"IIZIIIZ",
"IZIIIIZ",
"IIIIZIZ",
"ZIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"III... | [
0.25,
0.16666666666666666,
0.16666666666666666,
0.25,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.41666666666666663,
0.25,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333... | 0.801035 | [
-1.2869679026069946e-8,
-5.688353393205685e-8,
1.5396443528509457e-8,
-1.5707961730767346,
-1.5707962397632427,
-3.1776263445869945e-8,
-1.570796415917025,
0.8963245154299084
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 188 |
-4110772197468043772 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4], [1, 2], [0, 6], [1, 6], [0, 3], [2, 6], [3, 6], [0, 2], [0, 4], [2, 5], [1, 5]]} | {"states": [67, 106], "expectation_value": -0.07620924606728842, "params": [[0.0648], [-0.054400000000000004]], "bitstrings": ["0111100", "0010101"], "total_optimization_steps": 10, "probabilities": [0.008371137537822685, 0.008371137537822685], "optimization_time": 0.5615367889404297} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(6) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -1.5, "smallest_bitstrings": ["1000111", "1101010", "0010111", "0111100", "1111000", "0010101", "0111000", "0000111", "1000011", "1101000"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.5212835336178407) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.5212835336178407) q[3];
cx q[4], q[3];
cx q[4], q[0];
rz(0.5212835336178407) q[0];
cx q[4], q[0];
cx q[3], q[0];
rz(0.5212835336178407) q[0];
cx q[3], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[3], q[0];
... | null | {"circuits": [], "gradients": []} | [
"IIZZIII",
"IIIIZZI",
"IIZIIIZ",
"IIIZIIZ",
"IIIIZIZ",
"ZIIZIII",
"ZIIIZII",
"ZIIIIZI",
"ZIIIIIZ",
"IZIIZII",
"IZIIIZI",
"IIZIIII",
"IIIZIII",
"IIIIZII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IZIIIII"
] | [
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
] | 0.577655 | [
0.5212835336178407,
-1.2945187388588633e-8,
-0.6330956871340108
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 90 |
92e0d9744e7b0376f2c61fec7a621b77 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [56, 25], "expectation_value": -3.4964640978287123, "params": null, "bitstrings": ["000111", "100110"], "total_optimization_steps": 23, "probabilities": [0.06634871027471173, 0.930365963812893], "optimization_time": 15.139743089675903} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["000111", "100110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.5133697055041112) q[0];
h q[1];
ry(1.6084249374386541) q[1];
h q[2];
ry(1.6084249374386541) q[2];
ry(-0.053550572212937055) q[3];
rz(-pi) q[3];
ry(-0.053550572212937055) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.5133697055041112) q[0];
cx q[5], q[0];... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[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",
"IZIIIZ",
"ZIIIIZ",
"ZZIIII",
"IIZIZI",
"IZIIZI",
"IIZZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-0.5,
-0.5,
0
] | 0.992524 | [
-1.5021443221766975,
1.6084249374386541,
-1.0267394110082224,
0.7506936281381614,
-0.5870557688839062,
0.4771553588124247,
-0.38953925180142007,
0.19253854567295237,
0.02981104842832527,
0.18877927704919473,
0.13517748060633164,
-0.03020286481052407,
-0.11241436734008918
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
2c6d895f788675d7b5a17eb0b56c7f21 | 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": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "s... | {"states": [215, 1], "expectation_value": -0.7858571544207991, "params": [[0.0732], [-0.0728]], "bitstrings": ["100101000", "111111110"], "total_optimization_steps": 10, "probabilities": [0.002913616451685364, 0.0031345564477093745], "optimization_time": 2.6685404777526855} | -0.75 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -1.0 * (Z(2) @ Z(3)) + -1.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + 2.5 * (Z(8) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 12.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(4.3629072007041083e-08) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(-1.5707963418346225) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(4.3629072007041083e-08) q[4];
cx q[0], q[4];
h q[5];
cx q[3], q[5];
rz(2.7517660026727992... | OPENQASM 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": []} | [
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIZIIIZ",
"IIIZIZIII",
"IIIZIIIIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIZIZII",
"IIIIIIZZI",
"IIZIIZIII",
"IIZIZIIII",
"IIZIIIIZI",
"IIZIIIZII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"ZIIIIIZII",
"IZIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIZIIIII",
"... | [
-0.75,
-0.25,
-0.75,
-0.5,
-0.75,
-0.25,
-1,
-1.25,
-0.75,
-0.5,
-0.5,
-0.5,
-0.75,
2.5,
-0.5,
-0.5,
-1.25,
-2.25,
-0.25,
0.5,
-0.25,
0,
1.25,
-0.25,
1.5,
-0.25
] | 0.54985 | [
4.3629072007041083e-8,
-1.5707963418346225,
2.7517660026727992e-8,
-1.5707964746258296,
1.6390483142239273e-8,
-4.2150383213254934e-8,
-1.074872969603381,
5.2347251263603584e-8,
-7.188886353220329e-8,
6.350576054583836e-8,
1.5707962606345,
-1.4575326280026895
] | {
"n_parameters": 12,
"n_qubits": 9,
"optimal_eigenvalue": -14.25,
"target_ratio": 0.97,
"target_value": -13.8225
} | 317 |
-873254663262147330 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 6], [2, 3], [0, 6], [4, 6], [1, 4], [6, 7]]} | {"states": [157, 173], "expectation_value": -0.03475815383587186, "params": [[-0.0475], [0.061700000000000005]], "bitstrings": ["01100010", "01010010"], "total_optimization_steps": 10, "probabilities": [0.004182762799799988, 0.004182762799799988], "optimization_time": 1.16618013381958} | 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.0 * Z(6) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(7) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["10101101", "10011101", "01100010", "01010010"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-1.0471975799316537) q[2];
cx q[3], q[2];
rz(-1.8747614127789802e-08) q[2];
rx(0.7853981454976604) q[2];
rz(-1.8747614127789802e-08) q[3];
rx(0.7853981454976604) q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[5];
rz(-1.0471975... | 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[6], q[5];
rz(x0) q[5];
cx q[6], q[5];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
cx q[6]... | null | {"circuits": [], "gradients": []} | [
"IZZIIIII",
"IIIIZZII",
"IZIIIIIZ",
"IZIZIIII",
"IIIZIIZI",
"ZZIIIIII",
"IZIIIIII",
"IIZIIIII",
"IIIIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.541266 | [
-1.0471975799316537,
-1.8747614020874035e-8,
0.7853981454976606
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 90 |
646c4ffdec7c3b688313fcfec6df6ea9 | vertex_cover | 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": [6, 14], "expectation_value": -2.369174603465905, "params": [[[0.0005, 0.2832], [0.6032000000000001, -0.0041], [0.6052000000000001, 0.004], [0.6094, -0.0036000000000000003], [-0.008, -0.2836]], [[-0.0002, 0.28340000000000004], [0.608, -0.0041], [0.6079, 0.0041], [0.608, -0.0036000000000000003], [-0.002600000... | 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 | 3 | {"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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"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 |
151b9adea0333bc7a54f64ad6511a0ed | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": ... | {"states": [15, 63], "expectation_value": -0.9337248360676649, "params": [[0.0534], [-0.0471]], "bitstrings": ["1111110000", "1111000000"], "total_optimization_steps": 10, "probabilities": [0.0013638684757273035, 0.0013908365496556534], "optimization_time": 2.515653371810913} | 1.0 * (Z(2) @ Z(3)) + -2.0 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + -2.5 * (Z(1) @ Z(3)) + -2.5 * (Z(1) @ Z(2)) + -2.0 * (Z(1) @ Z(0)) + -1.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + -2.0 * (Z(9) @ Z(7)) + 1.0 * (Z(9) @ Z(6)) + -2.0 * (Z(9) @ Z(8)) + -2.0 * Z(3) + -1.5 * Z(2... | 1 | 10 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["1111000000"], "largest_eigenvalue": 19.5} | 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[2];
rz(-0.21787948932108783) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.7738266268667787) q[0];
cx q[3], q[0];
cx q[2], q[0];
rz(0.022629185152421193) q[0];
cx q[2], q[0];
cx q[3], q[1];
rz(-0.622368273161693) q[1];
cx q[3], 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[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(... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIZZIIII",
"IIZZIIIIII",
"IZZIIIIIII",
"IZIZIIIIII",
"ZIZIIIIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIZIIIII",
"IIIIIZIIII",
"IIZIIIIIII"... | [
1,
-2,
0.5,
-2.5,
-2.5,
-2,
-1,
-2,
-2,
-2,
-2,
1,
-2,
-2,
-1.5,
1,
1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.613788 | [
-0.21787948932108783,
-0.7738266268667787,
0.022629185152421193,
-0.622368273161693,
-1.5499044117207332,
-1.1997483832808922,
-0.43703576030015845,
-0.9984706603600768
] | {
"n_parameters": 8,
"n_qubits": 10,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 202 |
b72451fd8beb69606a84f4be9a392c11 | 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": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 4, "source": 2, ... | {"states": [0, 1], "expectation_value": -12.107808969559233, "params": [0.001, 0.44880000000000003, 0.0024000000000000002, 0.46190000000000003, 0.0027, 0.5212, 0.0026000000000000003, 0.5898, 0.0023, -0.5987, 0.0027, 0.5998, 0.0023, -0.5939, 0.8126, 0.0057, 0.0012000000000000001, 0.0064, 0.0024000000000000002, 0.0098, 0... | -1.0 * (Z(0) @ Z(4)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -1.0 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + 2.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ ... | 3 | 8 | 2 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -13.0, "smallest_bitstrings": ["11111110", "11000010", "10000010"], "largest_eigenvalue": 13.0} | 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[0];
rz(4.5847965068196375e-09) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(-0.047144458058862276) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[2];
rz(4.5847965068196375e-09) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIZZIIII",
"IIZIIIIZ",
"IZIIIIIZ",
"IZZIIIII",
"IIIZIZII",
"IZIIIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IIIIZZII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"IIIZIIZI",
"IIZIIIZI",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII",
"ZIIIIII... | [
-1,
-1.25,
-0.75,
-0.75,
-0.25,
-1,
-1,
-1,
-0.75,
-1,
-1,
2.75,
-0.75,
-1,
-0.5,
-0.75,
0.75,
-0.25,
0.25,
-3,
1.75,
0.75,
1,
-1.25
] | 0.897762 | [
4.5847965068196375e-9,
-0.047144458058862276,
1.958412113975725e-8,
-0.5570436665027615,
-6.440595128275094e-8,
-5.3799991138860575e-8,
1.5707963359197723,
1.5707963772985278,
-1.5707963090253823,
1.5707963669799336,
1.570796306035255,
-1.570796301813503
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 287 |
351f46008c2fa6d2dfb6c8e40fb9b957 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [21, 28], "expectation_value": -4.496398053155684, "params": null, "bitstrings": ["1101010", "1100011"], "total_optimization_steps": 31, "probabilities": [0.06635227233402181, 0.930326732686416], "optimization_time": 30.292818546295166} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(4) + -1.0 * Z(6) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101010", "0110101", "1010101", "1100011"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.02360863634851629) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.6025832086286227) q[1];
h q[2];
ry(1.5359581859684985) q[2];
h q[3];
h q[4];
ry(1.5359581859684985) q[4];
cx q[4], q[0];
ry(0.13101347429035654) q[0];
cx q[4], q[0];
ry(0.06662405253547206) q[0];
rz(-pi) q[5];
r... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIZI",
"IZIIZII",
"IZZIIII",
"ZZIIIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IZIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1,
-1,
-1,
0
] | 0.996003 | [
-1.6025832086286227,
-1.6617063127341019,
-1.4161742161560238,
1.5359581859684985,
-1.14681967659647,
0.7822968069285475,
-0.26202694858071307,
-0.29365619199419124,
0.6362347573183261,
-0.4206669012927168,
0.26387033649728336,
-0.19180926143591331,
0.17578383679714263,
0.18814493391960324... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
7452354543443962818 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 4], [8, 1], [6, 7], [9, 7], [1, 6], [8, 9], [3, 4], [4, 6], [4, 5], [5, 7], [0, 8], [8, 5], [8, 3], [9, 2], [0, 5], [2, 4], [1, 5], [3, 6], [2, 7], [2, 5], [0, 6], [2, 6]]} | {"states": [27, 996], "expectation_value": -0.2888300463683049, "params": [[-0.0864], [0.0791]], "bitstrings": ["1111100100", "0000011011"], "total_optimization_steps": 10, "probabilities": [0.0013194553758872976, 0.0013194553758872976], "optimization_time": 2.530900239944458} | 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["1110100110", "0001011001", "1111100100", "0000011011"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
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[9];
rz(-0.46403302820071113) q[9];
cx q[4], q[9];
cx q[4], q[6];
rz(-0.46403302820071113) q[6];
cx q[4], q[6];
cx q[4], q[3];
rz(-0.46403302820071113) q[3];
cx q[4], q[3];
cx q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[9];
rz(x0) q[9];
cx q[4], q[9];
cx q[9], q[8];
rz(x0) q[8];
cx q[9], q[8];
cx q[8], q[1];
rz(x0) q[1];
cx q... | null | {"circuits": [], "gradients": []} | [
"ZIIIIZIIII",
"ZZIIIIIIII",
"IZIIIIIIZI",
"IIIZIZIIII",
"IIIZIIIIZI",
"ZIZIIIIIII",
"IIZZIIIIII",
"IIIIIZZIII",
"IZIIIIZIII",
"IIIZIIZIII",
"IIIIZZIIII",
"IZIIZIIIII",
"IIIIZIIIZI",
"IIZIZIIIII",
"IZIIIIIIIZ",
"IIIZIIIIIZ",
"IIIIZIIIIZ",
"IIIIIZIZII",
"ZIIIIIIZII",
"IIIZIIIZII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.440307 | [
-0.46403302820071113,
1.3073803246920285e-8,
0.6770703650247057
] | {
"n_parameters": 3,
"n_qubits": 10,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 93 |
3157316800436101361 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4], [0, 7], [5, 6], [1, 3], [2, 4]]} | {"states": [202, 204], "expectation_value": -0.06410644669846341, "params": [[0.07970000000000001], [-0.0821]], "bitstrings": ["00110101", "00110011"], "total_optimization_steps": 10, "probabilities": [0.004429364216170355, 0.004429364216170355], "optimization_time": 1.2986741065979004} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.5, "smallest_bitstrings": ["00110101", "10110100", "10110010", "01001101", "01001011", "11001010", "11001100", "00110011"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(1.131403029155723) q[3];
cx q[4], q[3];
cx q[3], q[1];
rz(1.131403029155723) q[1];
cx q[3], q[1];
rz(2.0414100632137888e-08) q[1];
rx(-0.7853981844132861) q[1];
rz(2.0414100632137888e-08) q[3];
rx(-0.785398184413... | 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[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[7], q[0];
rz(x0) q[0];
cx q[7], q[0];
cx q[6], q[5];
rz(x0) q[5];
cx q[6], q[5];
cx q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIZZIII",
"ZIIIIIIZ",
"IZZIIIII",
"IIIIZIZI",
"IIIZIZII",
"IIIZIIII",
"IIIIZIII",
"ZIIIIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIZIIIII",
"IIIIIIZI",
"IIIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.696999 | [
1.131403029155723,
2.0414100641622288e-8,
-0.785398184413286
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 103 |
4421c497e819297a0c75498974257550 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 20, "source": 1, "target": 4}, {"weight": 15, "source": 1, "tar... | {"states": [242, 236], "expectation_value": -16.87235196090613, "params": [[-0.046, 0.0022], [0.0743, 0.0533]], "bitstrings": ["100001101", "100010011"], "total_optimization_steps": 10, "probabilities": [0.0066058382570905695, 0.007317131522019328], "optimization_time": 3.555593967437744} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(3)) + 10.0 * Z(1) + 6.5 * Z(0) + 16.5 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["100010011"], "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(0.10065772740106636) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.10065772740106636) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.10065772740106636) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.10065772740106636) q[2];
cx q[0], q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIZIIZII",
"IIIZZIIII",
"IIZIZIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
6.5,
16.5,
19,
12,
4.5,
6.5,
9.5,
3.5
] | 0.797639 | [
0.10065772740106636,
-1.7628013311861233,
0.884909477620434,
-1.7245099828185126,
-1.7325881042059148,
-1.725404804168548,
-1.7480658767147619,
1.235349101595457,
1.2765281978103793,
-0.9463188803394292,
1.2890332574700256,
-1.484332673818375,
0.2873659630782772,
-1.4837124399853814,
-0.... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 500 |
495033866122047723 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 5, 6], [0, 2, 3, 4, 6], [0, 2, 4, 5], [3, 4, 7], [1, 2, 4], [1, 4, 5, 6, 7], [3, 4, 5], [0, 1, 2, 5], [1, 2, 5, 7], [0, 1, 3, 4, 6]]} | {"states": [205, 207], "expectation_value": -2.365313719707705, "params": null, "bitstrings": ["00110010", "00110000"], "total_optimization_steps": 45, "probabilities": [0.08241348960387324, 0.8564877951974893], "optimization_time": 80.20220613479614} | 0.41666666666666663 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.3 * (Z(5) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(2)) + 0.18333333333333335 * (Z(6) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(5)) + 0.21666666666666667 * (Z(0) @ Z(2)) + 0.13333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(5... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.3999999999999995], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.35, "smallest_bitstrings": ["00110000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-2.7269116250236403) q[0];
rz(-pi) q[0];
h q[1];
ry(1.3254121514398651) q[1];
h q[2];
ry(-0.5289927134987447) q[2];
h q[3];
ry(-0.3279650677153253) q[3];
h q[4];
ry(1.6176747798183946) q[4];
h q[5];
ry(0.8036709943004863) q[5];
cx q[5], q[2];
ry(0.5289927134987447) q... | 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(1.5655) 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[... | [
"IIIIIZZI",
"IIZIIZII",
"IIZIIIZI",
"IZIIIZII",
"IZIIIIZI",
"IZZIIIII",
"IIIIIZIZ",
"IIIIIIZZ",
"IIZIIIIZ",
"IZIIIIIZ",
"IIIIZZII",
"IIIIZIZI",
"IIZIZIII",
"IZIIZIII",
"IIIIZIIZ",
"IIIZIZII",
"IIIZIIZI",
"IIZZIIII",
"IZIZIIII",
"IIIZIIIZ",
"IIIZZIII",
"ZIIIIZII",
"ZIIIIIZ... | [
0.41666666666666663,
0.3333333333333333,
0.3,
0.13333333333333333,
0.18333333333333335,
0.13333333333333333,
0.21666666666666667,
0.13333333333333333,
0.16666666666666666,
0.1,
0.05,
0.05,
0.16666666666666666,
0.1,
0.1,
0.3,
0.26666666666666666,
0.3,
0.15000000000000002,
0.1833... | 0.980202 | [
1.6176747798183946,
1.3254121514398651,
0.8036709943004863,
-1.0579854269974893,
0.6605061245546695,
-0.594318180074087,
0.9712776380336796,
-0.6559301354306506,
0.3696753203901278,
-0.7092345297092427,
0.48970273344274673,
-0.31947597030843006,
0.6473237167112438,
-0.18797400879875903,
... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -2.3999999999999995,
"target_ratio": 0.97,
"target_value": -2.3279999999999994
} | 1 |
1016217827708621692 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 5, 6], [2, 4, 6], [1, 3, 4, 5, 7], [0, 1, 3, 8, 9], [1, 4, 6], [9, 2, 3, 6], [9, 4, 5, 7], [8, 5, 6], [2, 3, 7], [8, 9, 1, 7], [8, 0, 2, 4], [1, 3, 5, 7, 8], [1, 2, 3, 4, 8, 9]]} | {"states": [622, 623], "expectation_value": -3.239653738072245, "params": [[[2.4935, 0.8414, 0.007, 0.002], [-0.003, 0.8410000000000001, -0.0012000000000000001, 0.0024000000000000002], [-0.017400000000000002, 1.2385000000000002, 0.026500000000000003, 0.0001], [-0.0026000000000000003, 0.3408, -0.0021000000000000003, 0.0... | 0.16666666666666666 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(6)) + 0.13333333333333333 * (Z(4) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(6)) + 0.2833333333333333 * (Z(4) @ Z(2)... | 11 | 10 | 1 | {"smallest_eigenvalues": [-3.466666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.1166666666666663, "smallest_bitstrings": ["0110010000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(3.2381106872938976) q[0];
rz(0.6797019267643667) q[0];
ry(-0.03222662851863875) q[1];
rz(1.0958956133847173) q[1];
cx q[1], q[0];
ry(0.22854089418757312) q[1];
rz(-0.054170638435147314) q[1];
ry(-0.056066202370708196) q[2];
rz(1.3939032735803618) q[2];
ry(-0.1394490... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIZIIIIZ",
"IIIZZIIIII",
"IIIZIIIIIZ",
"IIIIIIIZIZ",
"IIIZIIIZII",
"IIIIZZIIII",
"IIIIIZIIIZ",
"IIIZIZIIII",
"IIIIIZIZII",
"IIIIZIIIZI",
"IIIIIIIIZZ",
"IIIZIIIIZI",
"IIIIIIIZZI",
"IIIIIZIIZI",
"IIIIZIZIII",
"IIIIIIZIIZ",
"IIIZIIZIII",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIIZIZI"... | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.08333333333333333,
0.25,
0.13333333333333333,
0.08333333333333333,
0.3333333333333333,
0.2833333333333333,
0.1,
0.05,
0.16666666666666666,
0.03333333333333333,
0.25,
0.1,
0.05,
0.08333333333333333,
0.2833333333333333,
... | 0.971979 | [
3.2381106872938976,
0.6797019267643667,
-0.03222662851863875,
1.0958956133847173,
-0.056066202370708196,
1.3939032735803618,
-0.1394490545762206,
0.24558778736601464,
1.5821811008161468,
0.14771566207380163,
1.807418174754441,
-0.0754701273539239,
1.7058660460290127,
-0.1024180943384814,
... | {
"n_parameters": 32,
"n_qubits": 10,
"optimal_eigenvalue": -3.466666666666667,
"target_ratio": 0.97,
"target_value": -3.3626666666666667
} | 13 |
5ff13daf48c5dfc8657b57cf7715e1fc | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "... | {"states": [3647, 4095], "expectation_value": -1.0388197975387183, "params": [[-0.0698], [0.0767]], "bitstrings": ["000111000000", "000000000000"], "total_optimization_steps": 10, "probabilities": [0.000427705901021274, 0.0004336109813158647], "optimization_time": 2.2008204460144043} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * (Z(10) @ Z(11)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 1.0 * ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["000000000000"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.1536420757489187) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.1536420757489187) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.10539100401300772) q[1];
rx(0.9458169338012185) q[1];
rz(1.1536420757489187) q[2];
cx q[0], q[2];
rz(0.1053... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIZIZIIIIII",
"IIZZIIIIIIII",
"IIZIIZIIIIII",
"IIIZZIIIIIII",
"IIIIZZIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIZIIII",
"IIIIIIIIZIII",
"IIIIIIZII... | [
-1.5,
-1.5,
-1.5,
-2,
-1.5,
0.5,
-2,
0.5,
-1.5,
-1.5,
0.5,
-1,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.568493 | [
1.1536420757489187,
0.4647440094473576,
0.10539100401300808,
1.4101173553739703,
0.37363821744157655,
0.9458169338012185
] | {
"n_parameters": 6,
"n_qubits": 12,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 164 |
ca73abee2b018455955f199f9f478c21 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target": 8}, {"sour... | {"states": [255, 239], "expectation_value": -0.7715941638591953, "params": [[0.07590000000000001], [-0.0665]], "bitstrings": ["00000000", "00010000"], "total_optimization_steps": 10, "probabilities": [0.005597430363897118, 0.005711170432214579], "optimization_time": 1.427417516708374} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(4) @ Z(7)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(7) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(6) + -0.5 * Z(3) | 5 | 8 | 1 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["00010000"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.1173649196577655) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.1173649196577655) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.19041678172141685) q[1];
rx(-0.9921637536539339) q[1];
rz(-1.1173649196577655) q[2];
cx q[0], q[2];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"ZIIZIIII",
"ZIZIIIII",
"IIZZIIII",
"ZZIIIIII",
"IZIZIIII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"ZIIIIIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIZIII"
] | [
-1.5,
-1.5,
-1.5,
-2,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.552157 | [
-1.1173649196577655,
-0.8140818284613563,
-0.19041678172141696,
-1.5707962241384403,
-0.992163753653934
] | {
"n_parameters": 5,
"n_qubits": 8,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 163 |
-5806664385067794631 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 5], [1, 3], [1, 2], [4, 6]]} | {"states": [35, 38], "expectation_value": -0.03040207680237366, "params": [[-0.060000000000000005], [0.0736]], "bitstrings": ["1011100", "1011001"], "total_optimization_steps": 10, "probabilities": [0.008296046264194806, 0.008296046264194806], "optimization_time": 0.4743835926055908} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.16666666666666674 * Z(1) + 0.16666666666666666 * Z(0) + 0.16666666666666666 * Z(5) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.5000000000000002, "smallest_bitstrings": ["1011100", "0100100", "0011110", "0011011", "1011001", "01000... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.4311321168923502) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(-0.4311321168923502) q[5];
cx q[1], q[5];
cx q[0], q[5];
cx q[1], q[3];
rz(-1.2336897652416439) q[3];
cx q[1], q[3];
cx q[1], q[2];
rz(-1.233689... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(x0) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IZIIIZI",
"IZIIIIZ",
"IIIZIZI",
"IIIIZZI",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIZII",
"ZIIIIII",
"IIZIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666674,
0.16666666666666666,
0.16666666666666666,
0,
0,
0,
0
] | 0.676197 | [
-0.4311321168923502,
-1.2336897652416439,
0.03983349053490519,
0.791829364303237
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -1.8333333333333333,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 117 |
b2c25a19a038d07471a5450910ba4971 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [3, 6], "expectation_value": -2.2052451376271427, "params": null, "bitstrings": ["11100", "11001"], "total_optimization_steps": 16, "probabilities": [0.057338861254463774, 0.9026324643853599], "optimization_time": 8.638596296310425} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -1.0 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.25, "smallest_bitstrings": ["11100", "11010", "11001", "10101"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.016234704253647998) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-0.010386543699948906) q[1];
h q[2];
h q[3];
ry(1.1585700450953158) q[3];
h q[4];
ry(-0.5085847075913551) q[4];
cx q[2], q[4];
ry(0.5085847075913551) q[4];
cx q[2], q[4];
ry(-0.2519288651435193) q[4];
cx q[3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIZZI",
"IZIIZ",
"ZIIZI",
"IZZII",
"ZIZII",
"ZZIII",
"ZZZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-1,
-0.5,
-0.25,
-0.25,
-0.25
] | 0.987557 | [
-1.6083798548905424,
-1.580119373751702,
1.1585700450953158,
-1.0171694151827102,
0.8689899356169645,
-0.5038577302870386,
0.5447428831437316,
0.28835851723029476,
-0.27941569527661547,
-0.0021269934862870876,
0.08523768570425198,
-0.12057589076085368,
0.1076364646985875,
0.109842316070757... | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
a603da1a0fa48a0c889ceccbdae517d6 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, ... | {"states": [51, 50], "expectation_value": -2.6948134063410163, "params": [-0.0022, 1.3037, 2.1024000000000003, -0.002, 2.1009, 0.0028, 0.064, 0.0034000000000000002, 2.0934, 0.0031000000000000003, 2.0982000000000003, 0.0032, 1.4208, 0.0034000000000000002, -0.0022, 1.0747, -2.0816, 2.0719000000000003, -2.0878, 1.0719], "... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(0) + -0.25 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -0.25 * Z(4) + -0.5 * Z(5) + -0.25 * Z(6) | 4 | 7 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.25, "smallest_bitstrings": ["1010011", "1001011", "1010110", "1110010", "1011100", "1001101"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.12013546374620043) q[0];
rz(-2.7657142779613313) q[0];
rx(2.422375160516799) q[1];
rz(1.7107104948808987) q[1];
rx(2.971844809689707) q[2];
rz(1.9173206430283765) q[2];
rx(-0.06343407625664142) q[3];
rz(1.7368643240472572) q[3];
rx(1.8818951710672067) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZZII",
"IZZIIII",
"IIZIIZI",
"ZIIIIZI",
"ZIZIIII",
"ZIZIIZI",
"ZIIIZII",
"IZIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
-1,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25
] | 0.97452 | [
-0.12013546374620043,
1.946674702423359,
2.422375160516799,
0.1399141680860021,
2.971844809689707,
0.3465243162334797,
-0.0634340762566414,
0.16606799725235954,
1.8818951710672067,
0.02925917178505204,
2.866478378027777,
0.8664717337629608,
0.26591522697777975,
1.2093847600605423,
-1.709... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 15 |
93141c357d164fcf2a36ba666f8f01e3 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [25, 22], "expectation_value": -0.06285010069148031, "params": [[0.0792], [-0.0863]], "bitstrings": ["00110", "01001"], "total_optimization_steps": 10, "probabilities": [0.0350321879334413, 0.03503218793344133], "optimization_time": 2.789794445037842} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["00110", "01001"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1714898456555271) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.1714898456555271) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1714898456555271) q[1];
cx q[1], q[0];
rz(-0.24938667349607663) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x0) q[1];
cx q[2... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZIZ",
"IIZZI",
"IIZZZ",
"IZIIZ",
"ZIIIZ",
"ZZIII",
"ZZIIZ",
"IZIZI",
"ZIZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0,
-0.25,
-0.25,
-0.25,
-0.25
] | 0.525188 | [
0.1714898456555271,
-0.24938667349607663,
1.1176635259891476,
0.8103834446690221,
-0.7718739166458187
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 163 |
9c1ee192c2f57fe7cc46ca444fd40044 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [32, 1], "expectation_value": -7.942303765670233, "params": null, "bitstrings": ["011111", "111110"], "total_optimization_steps": 18, "probabilities": [0.15643410268844596, 0.8141130102870059], "optimization_time": 14.117692708969116} | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + 2.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.75 *... | 1 | 6 | 1 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.4280305935609409) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.586367014293522) q[4];
cx q[1], q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(-0.586367014293522) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(-0.4280305935609409... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) 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",
"IZIIZI",
"IZIIIZ",
"IIIZZI",
"IZIZII",
"IIZIZI",
"IZZIII",
"IIZZII",
"ZIIIIZ",
"ZZIIII",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-1,
-0.75,
-0.75,
-0.75,
-0.75,
-1,
-0.5,
-0.75,
2,
-0.25,
-1,
-1.5,
-0.25,
0,
0.25,
0.75,
0.75
] | 0.573914 | [
-0.4280305935609409,
-0.586367014293522,
-0.5941967814927773,
0.9893183086380308,
-0.015078214242113929,
-0.4197495527732082,
-0.00750719659323729,
0.17460404483085798,
0.3564795609965509,
-0.9246051704663378
] | {
"n_parameters": 10,
"n_qubits": 6,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 223 |
291fb5db31402c7ef22d6cc5b00311e3 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target":... | {"states": [186, 191], "expectation_value": -10.596510543798873, "params": null, "bitstrings": ["101000101", "101000000"], "total_optimization_steps": 100, "probabilities": [0.1102177567226562, 0.4447303201965931], "optimization_time": 212.72081804275513} | -2.0 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + -1.0 * Z(2) + -1.5 * Z(0) +... | 1 | 9 | 1 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["101000000"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
ry(0.6930684622353808) q[1];
ry(-0.02319635476017577) q[2];
rz(-pi) q[2];
h q[3];
ry(0.6930684622353808) q[3];
cx q[0], q[3];
ry(-0.6930684622353808) q[3];
cx q[0], q[3];
ry(-0.8323773178145601) q[0];
h q[4];
ry(0.6930684622353808) q[4];
cx q[3], q[4];
r... | null | {"node": 1} | {"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[0], 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... | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIIZIIZI",
"IIZZIIIII",
"IZZIIIIII",
"IZIZIIIII",
"ZIZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"... | [
-2,
0.5,
-2.5,
0.5,
0.5,
-2,
-1.5,
-2,
-2,
0.5,
-2,
0.5,
0.5,
-1,
-1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.956215 | [
1.3861369244707615,
1.619072159856883,
-0.3840834116474059,
1.0010753535521626,
-1.5277568321167412,
1.4416496174772735,
-1.6647546356291203,
1.929630759600278,
1.1943604528078824,
0.3118355817388504,
0.10767558701037917,
-0.017213899581823337,
-1.196512252676522,
-0.23686777389656216,
2... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -14.5,
"target_ratio": 0.97,
"target_value": -14.065
} | 500 |
dab40a2f654e93a72357d226e03c7017 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [36, 9], "expectation_value": -0.3817731451591546, "params": [[-0.0886], [0.0816]], "bitstrings": ["011011", "110110"], "total_optimization_steps": 10, "probabilities": [0.01845304975744646, 0.018453049757446466], "optimization_time": 1.7139613628387451} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -1.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["001111", "101110", "101101", "011011", "110110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-9.732836771679241e-09) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-9.732836771679241e-09) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-9.732836771679241e-09) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-9.73283... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(x0) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(x0) q[4]... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"ZIIIIZ",
"ZZIIII",
"IIIZZI",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIZIZI",
"IIIZII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1,
-0.5,
-1.5
] | 0.875 | [
-9.732836771679241e-9,
1.5707963924426682,
-8.266767826270459e-8,
-1.570796288084588,
1.570796283532113
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 154 |
-8090004467420380849 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[3, 5], [0, 1, 2, 5, 6, 8, 9], [0, 2, 3, 8, 9], [0, 1, 4, 9], [9, 10, 4], [8, 10, 4], [1, 2, 3, 6, 8, 9, 10], [0, 9, 10], [10, 7], [2, 4, 5, 6, 8], [0, 1, 4, 5, 8], [1, 4, 5, 6, 10], [0, 1, 3, 6, 8], [1, 2, 4], [4, 5, 7]]} | {"states": [1758, 734], "expectation_value": -3.381689952184078, "params": [1.4968000000000001, 0.0035, 1.0912, 0.0085, 1.4818, 0.001, 1.4652, 0.0074, 1.4839, 0.0033, 1.075, 0.0068000000000000005, 1.4935, 0.0016, 0.4767, 0.0045000000000000005, 1.4856, 0.0026000000000000003, 1.3056, 0.0037, 1.5009000000000001, 0.0034000... | 0.5 * (Z(3) @ Z(5)) + 0.07380952380952381 * (Z(0) @ Z(5)) + 0.1 * (Z(0) @ Z(3)) + 0.12380952380952381 * (Z(1) @ Z(5)) + 0.07380952380952381 * (Z(1) @ Z(3)) + 0.20714285714285713 * (Z(1) @ Z(0)) + 0.07380952380952381 * (Z(2) @ Z(5)) + 0.07380952380952381 * (Z(2) @ Z(3)) + 0.07380952380952381 * (Z(2) @ Z(0)) + 0.21428571... | 6 | 11 | 1 | {"smallest_eigenvalues": [-3.9166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.8976190476190475, "smallest_bitstrings": ["10100100001"], "largest_eigenvalue": 14.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.8849516840160379) q[0];
rz(1.5627124743871512) q[0];
rx(1.644239083245007) q[1];
rz(1.5285285599344984) q[1];
rx(1.9819721153930445) q[2];
rz(1.6703192702165062) q[2];
rx(2.4725934110364576) q[3];
rz(1.597565037055995) q[3];
rx(1.9446081349432214) q[4];
rz(1.54764... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIZIZIII",
"IIIIIZIIIIZ",
"IIIIIIIZIIZ",
"IIIIIZIIIZI",
"IIIIIIIZIZI",
"IIIIIIIIIZZ",
"IIIIIZIIZII",
"IIIIIIIZZII",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIZZIIIII",
"IIIIZIIZIII",
"IIIIZIIIIIZ",
"IIIIZIIIIZI",
"IIIIZIIIZII",
"IIZIIZIIIII",
"IIZIIIIZIII",
"IIZIIIIIIIZ",
"IIZIIIIII... | [
0.5,
0.07380952380952381,
0.1,
0.12380952380952381,
0.07380952380952381,
0.20714285714285713,
0.07380952380952381,
0.07380952380952381,
0.07380952380952381,
0.21428571428571427,
0.12380952380952381,
0.07380952380952381,
0.07380952380952381,
0.14761904761904762,
0.09761904761904762,
0.1... | 0.970997 | [
1.884951684016038,
-0.00808385240774554,
1.644239083245007,
-0.04226776686039843,
1.9819721153930443,
0.0995229434216095,
2.4725934110364576,
0.026768710261098765,
1.9446081349432214,
-0.0231544573759151,
2.6695144501036747,
0.0071181482550648914,
2.5239099121036475,
0.043856308641187794,
... | {
"n_parameters": 55,
"n_qubits": 11,
"optimal_eigenvalue": -3.9166666666666665,
"target_ratio": 0.97,
"target_value": -3.7991666666666664
} | 354 |
8c44c442a25e00dfae4e1647b2faf79f | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [6, 3], "expectation_value": -1.8083293888279093, "params": [[0.076], [-0.07690000000000001]], "bitstrings": ["11001", "11100"], "total_optimization_steps": 10, "probabilities": [0.03958536219911532, 0.040709867171024886], "optimization_time": 1.209364414215088} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 1.75 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 18 | 5 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022216824968526526) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022216824968526526) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022216824968526526) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.6284369302106981) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx q[0... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
2,
1.75,
1.75,
2,
2,
1.75,
-2.75,
-2.5,
-2.75,
-2.5,
-2.5
] | 0.720045 | [
0.022216824968526526,
0.6284369302106981,
-1.317266113042237,
0.027624710446691313,
-0.865652482486156
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 144 |
6594032653473831357 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 5], [3, 4], [8, 4], [0, 2], [1, 2], [4, 5], [3, 7], [0, 3], [3, 5], [2, 5], [8, 7], [8, 1], [2, 6], [6, 7]]} | {"states": [101, 109], "expectation_value": -0.2852503196234693, "params": [0.682, 0.6855, 0.669, 0.6696000000000001, 0.8506, 0.8597, 0.8924000000000001, 0.8941, 0.6412, 0.6537000000000001, 0.8503000000000001, 0.865, 0.8953000000000001, 0.8706, 0.8200000000000001, 0.7614000000000001, 0.8934000000000001, 0.8917, 0.5191,... | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + 0.0 * Z(5) +... | 14 | 9 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -3.0, "smallest_bitstrings": ["110011110", "000101101", "001101001", "110010010", "100001101", "110010110", "111010010", "001100001", "100101101", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.25229317664978873) q[0];
rz(pi/2) q[0];
ry(0.2666121745143223) q[1];
ry(1.9059637150454436) q[2];
ry(1.7722455501226262) q[3];
ry(0.3040228843822773) q[4];
ry(1.3776358992645108) q[5];
ry(1.8890217892701948) q[6];
ry(0.6723243968692704) q[7];
ry(1.3161438092372661... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IIIIZZIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"IIIIIZIIZ",
"IIIZIIZII",
"IIIIIIZZI",
"IIIIIIZIZ",
"IZIIIZIII",
"ZZIIIIIII",
"IIZIIIZII",
"IZZIIIIII",
"IIIZIIIII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.972308 | [
-0.25229317664978873,
0.2666121745143223,
1.9059637150454436,
1.7722455501226262,
0.3040228843822773,
1.3776358992645108,
1.8890217892701948,
0.6723243968692704,
1.3161438092372661,
0.03710633494611115,
-1.167839862279129,
-0.46585730571181627,
-0.1502921193544191,
-0.49986664880470666,
... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 42 |
0a9ce5e89c9dcf521e81060472c9eb03 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "s... | {"states": [67, 255], "expectation_value": -5.810586633489317, "params": null, "bitstrings": ["110111100", "100000000"], "total_optimization_steps": 100, "probabilities": [0.07098029800654196, 0.73099424589875], "optimization_time": 196.94770574569702} | -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(8) @ Z(5)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(1) @ Z(8)) + -0.5 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(2) @ Z(8)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(6) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 8.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.23153603351994334) q[0];
h q[1];
h q[2];
ry(1.5470829324436373) q[2];
h q[3];
ry(0.7705398656542058) q[3];
cx q[1], q[3];
ry(-0.7705398656542058) q[3];
cx q[1], q[3];
ry(0.6222101378731693) q[1];
cx q[3], q[1];
ry(-0.6222101378731693) q[1];
cx q[3], q[1];
... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIZIIIIZ",
"ZIIZIIIII",
"ZIIIIIIIZ",
"IIIZIIIZI",
"ZIIIIIIZI",
"IIIZIZIII",
"IIIIIZIZI",
"IIIIZIIZI",
"ZZIIIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"ZIIIIIZII",
"IIIIZIZII",
"IIZZIIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IZZIIIIII",
"IIZIIIZII",
"IIIZIIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"... | [
-0.5,
-0.5,
0.75,
-0.25,
-0.25,
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
0,
-0.25,
-0.5,
0,
0.5,
-0.5,
0.5,
1,
-0.75
] | 0.959889 | [
1.5470829324436373,
1.5410797313084117,
2.087226569812678,
1.2444202757463385,
1.7043902733145464,
1.68419662067207,
-0.4630720670398867,
1.7291033298568055,
2.2789226456761957,
-0.050339615282830596,
-0.48130399573726235,
0.7152102582289276,
-0.8707263861464489,
-1.2010984046709827,
0.5... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 500 |
410a620476bb1ab89428221268021245 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [12, 72], "expectation_value": -6.411631293735966, "params": null, "bitstrings": ["1110011", "0110111"], "total_optimization_steps": 20, "probabilities": [0.0601264549783317, 0.788819012488134], "optimization_time": 16.32986879348755} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 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(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.5, "smallest_bitstrings": ["1101011", "0101111", "1110101", "1110011", "0110111"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-1.525316287080557) q[1];
h q[2];
ry(-0.4635246956282743) q[2];
h q[3];
cx q[3], q[2];
ry(0.4635246956282743) q[2];
cx q[3], q[2];
ry(-0.7097453387884464) q[2];
ry(0.7841495963456939) q[3];
h q[4];
ry(-0.4635246956282743) q[4];
cx q[0], q[4];
ry(0.463... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"IZIIIZI",
"IZIIIIZ",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"ZZIIIII",
"IIIIZZI",
"IZIIZII",
"ZIIIZII",
"IIIZIZI",
"ZIIZIII",
"IIIZZII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1.5,
-1.5,
-2,
-2.5,
-1.5,
-1
] | 0.990361 | [
-1.525316287080557,
-1.6516093367694655,
-0.9270493912565486,
0.7841495963456939,
-0.551144413376185,
0.530091856908911,
0.5655279925104985,
-0.31720185082452274,
-0.42736748625662185,
0.05151037849362506,
-0.0336782670524875,
0.0448106142806983,
-0.017479746617684006
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 1 |
b71e19e9218fad76a8b04d982d3356d2 | 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": [1295, 1291], "expectation_value": -95.40638012050707, "params": [1.2988, 0.2717, 0.3235, 0.5669000000000001, 1.2962, -0.0608, 0.0119, -0.6269, 0.4666, -0.3996, 0.0019, 0.7561, -0.005, 0.9268000000000001, 1.3035, -0.045000000000000005, 0.7922, -0.2349, 1.2992000000000001, -0.0037, 1.3026, 0.00170000000000000... | 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(7)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(5) @ Z(10)) + 6.5 * (Z(8) @ Z(0)) + 6.5 * (Z(8) @ Z(10)) + 6.5 * (Z(9) @ Z(2)) + 6.5 * (Z(9) @ Z(4)) + 6.5 * (Z(9) @ Z(10)) + 6.5 * (Z(9) @ Z(8)) + 16.5 * Z(0) + 22.5 * Z(2) + 0.5... | 18 | 11 | 2 | {"smallest_eigenvalues": [-124.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -107.0, "smallest_bitstrings": ["01011110100"], "largest_eigenvalue": 168.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.7200597077369626) q[0];
rz(0.2348633709528971) q[0];
rx(0.08750262615735749) q[1];
rz(0.3639616448170593) q[1];
rx(1.5993795113072027) q[2];
rz(-0.2532519916950065) q[2];
rx(0.07239950499177139) q[3];
rz(-0.7122878323295406) q[3];
rx(-0.15796991202836536) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIZIZII",
"IIIZIIIZIII",
"IIIZZIIIIII",
"ZIIIIZIIIII",
"IIZIIIIIIIZ",
"ZIZIIIIIIII",
"IZIIIIIIZII",
"IZIIIIZIIII",
"ZZIIIIIIIII",
"IZZIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIZIIII",
"IIIZIIIIIII",
"IIIIIIIZI... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
16.5,
22.5,
0.5,
2,
8.5,
-2,
-2.5,
13,
-4.5,
9,
20.5
] | 0.97661 | [
1.7200597077369628,
0.20329892979082506,
0.08750262615735749,
0.3639616448170593,
1.5993795113072027,
-0.2532519916950065,
0.07239950499177139,
-0.7122878323295406,
-0.15796991202836536,
-0.8272405977426194,
-0.1200002332730068,
1.0830827140003483,
0.027245134845494415,
0.8659724869690185,... | {
"n_parameters": 61,
"n_qubits": 11,
"optimal_eigenvalue": -124,
"target_ratio": 0.97,
"target_value": -120.28
} | 18 |
0f435eed505f807fb8dc44643dfd43ce | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 22, "source": 0, "target": 2}, {"weight": 25, "source": 0, "target": 3}, {"weight": 2, "source": 1, "target": 2}, {"weight": 24, "source":... | {"states": [413, 427], "expectation_value": -0.3388536619076323, "params": [[0.0669], [-0.0729]], "bitstrings": ["001100010", "001010100"], "total_optimization_steps": 10, "probabilities": [0.0023172340901928302, 0.0023172340901928307], "optimization_time": 2.245340347290039} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010100", "001100010", "010001100", "010100001", "100010001", "100001010"], "largest_eigenvalue": 18.0} | 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] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 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 |
647de892521e2aa63be27d4c6c55af2d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "ta... | {"states": [0, 126], "expectation_value": -6.994546215142452, "params": [0.3113, 0.2373, -0.41500000000000004, 0.7084, 0.5061, 0.7871, -0.42010000000000003, 0.931, 0.4949, 1.1881000000000002, -0.3935, 1.1116000000000001, 0.5013000000000001, 1.2690000000000001, -0.4667, 1.2343, -0.5324, 0.18080000000000002, -0.557800000... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + -0.5 * Z(6) | 6 | 7 | 3 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["0000001"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.1434618188856428) q[0];
rz(2.1162475700307253) q[0];
rx(0.012281816822774606) q[1];
rz(2.1975402462260742) q[1];
rx(0.006164191416446551) q[2];
rz(2.8356395873137883) q[2];
rx(0.5134301427780872) q[3];
rz(-2.6084300238330798) q[3];
rx(-1.4797618259992313) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970154 | [
0.1434618188856428,
0.5454512432358287,
0.012281816822774606,
0.626743919431177,
0.00616419141644655,
1.2648432605188917,
0.5134301427780873,
2.1039589565516104,
-1.4797618259992313,
-0.16126552265002844,
-0.63504957597227,
-0.7654019547492126,
0.012821637033631803,
0.215496707891395,
1.... | {
"n_parameters": 104,
"n_qubits": 7,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 447 |
fca2293c2a9a83d1eeb5cc8ed6acc934 | 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": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [86, 116], "expectation_value": -4.999874628887887, "params": null, "bitstrings": ["0101001", "0001011"], "total_optimization_steps": 36, "probabilities": [1.7184297198140115e-05, 0.9999247925092263], "optimization_time": 34.528550148010254} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(3) + -1.0 * Z(0) + -0.5 * Z(5) + -1.0 * Z(6) + -1.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001011", "1101000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.1085452155132307) q[0];
rz(-pi) q[0];
h q[1];
ry(1.4634417096669068) q[1];
ry(-3.116011071267912) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.5690578259935095) q[3];
h q[4];
ry(1.517818890375456) q[4];
cx q[4], q[0];
ry(-0.07430717905142728) q[0];
cx q[4], q[0];
ry(0.099359... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IZIIIIZ",
"ZIIZIII",
"ZIIIIIZ",
"IIIZIZI",
"IZIIIZI",
"ZIIIIZI",
"IIIZZII",
"IIZZIII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-0.5,
-1,
-1,
0,
0
] | 0.998232 | [
-1.5690578259935095,
-1.4202201428075247,
1.517818890375456,
1.4634417096669068,
-0.09421059075376897,
0.14861435810285456,
0.19800617208161359,
0.05479170819511875,
0.1987183954967629,
-0.07382566291840055,
0.046895837035076146,
-0.024793505477716263
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
68520e2727d515c1e688a9314ba491c0 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 0, "target":... | {"states": [407, 279], "expectation_value": -7.271172272807277, "params": [[[-0.0022, 0.0011], [1.7120000000000002, 0.0036000000000000003], [1.5304, 0.0], [-0.005, 0.0025], [0.0031000000000000003, 0.007], [1.7058, 0.008], [-0.0034000000000000002, 0.0035], [1.7020000000000002, 0.0], [1.6147, 0.0041], [1.7057, 0.008]]], ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.5, "smallest_bitstrings": ["1001101010", "1011101000"], "largest_eigenvalue": 23.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.130245464553899) q[0];
rz(-1.2088174468149138) q[0];
rx(2.4982260108568806) q[1];
rz(-0.14738202937872236) q[1];
rx(3.118072391650796) q[2];
rz(0.03053683870350138) q[2];
rx(0.07417087785270893) q[3];
rz(0.5218559946617058) q[3];
rx(-0.08761547843339297) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIZIIIIIIZ",
"IZIIIIIIIZ",
"IZIIIIIZII",
"IIIIIIZIZI",
"IIIIIZZIII",
"IZIIIIZIII",
"IIIZIIIZII",
"IIIZIZIIII",
"IIZZIIIIII",
"IZIZIIIIII",
"IIIZIIZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"ZIIIIZIIII",
"ZIIZIIIIII",
"IIIIIIIIZI"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2,
-1,
-2.5,
-0.5,
-1.5,
-2,
-2.5,
-0.5,
-0.5
] | 0.970712 | [
-0.130245464553899,
-1.2088174468149138,
2.4982260108568806,
-0.14738202937872236,
3.118072391650796,
0.03053683870350138,
0.07417087785270893,
0.5218559946617058,
-0.08761547843339297,
0.14379496763727206,
2.762224525170715,
-0.3468665358896585,
0.154441005846947,
1.1589035816882587,
3.... | {
"n_parameters": 18,
"n_qubits": 10,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 30 |
7e799239f8573f120a2c5e15cda2e88f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}]} | {"states": [7, 14], "expectation_value": -0.4022569573678999, "params": [[0.07540000000000001, 0.07970000000000001, 0.0792], [-0.0669, -0.0777, -0.079]], "bitstrings": ["11000", "10001"], "total_optimization_steps": 10, "probabilities": [0.04753599247492415, 0.049670253226630996], "optimization_time": 2.111430406570434... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -0.5 * Z(1) + 0.0 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["10001", "11000"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.013661432647873829) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.47799463725369296) q[1];
h q[2];
ry(1.609883237122917) q[2];
h q[3];
ry(1.609883237122917) q[3];
h q[4];
cx q[4], q[1];
ry(0.47799463725369296) q[1];
cx q[4], q[1];
ry(-0.6440649203767641) q[1];
ry(0.9857223264... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] ... | null | {"circuits": [], "gradients": []} | [
"IIZIZ",
"IZIIZ",
"IIIZZ",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
-1,
0,
-0.5,
0
] | 0.994711 | [
-1.5961244559276881,
1.609883237122917,
-0.9559892745073859,
0.7778346010594781,
-0.4321667361998622,
0.4157754507244771,
-0.42379636835380385,
0.245207488748664,
-0.0379388834944252,
0.03472662903914467,
0.0730459640739915,
0.07797912356133081,
-0.0856693429277921
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 1 |
d8d55f0562fdae43273e76fe4e1611ed | 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": [485, 229], "expectation_value": -73.96107675037051, "params": [0.4828, -0.28550000000000003, 1.067, 0.0035, 1.0676, 0.0006000000000000001, 1.0763, 0.2151, 0.26730000000000004, 0.4687, -0.0026000000000000003, 0.8239000000000001, 1.0711, 0.2485, 0.06570000000000001, 0.5498000000000001, 1.0851, -0.1053, 0.4778... | 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(7) @ Z(2)) + 5.5 * (Z(6) @ Z(0)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(6) @ Z(7)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(8) @ Z(4)) + 13.5 * Z(2) + 17.5 * Z(1) + 15.0 * Z(0) + 11.5 * Z(3) + ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.0, "smallest_bitstrings": ["100011010"], "largest_eigenvalue": 159.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.1403547070244377) q[0];
rz(-0.4500069835007392) q[0];
rx(1.0828367034153594) q[1];
rz(0.24689884773562615) q[1];
rx(1.0393207688160122) q[2];
rz(-0.16314816707676358) q[2];
rx(1.2177291789763816) q[3];
rz(0.42217072596222605) q[3];
rx(0.07624023991153746) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IZIIIIZII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIZIIIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
13.5,
17.5,
15,
11.5,
6.5,
1,
11.5,
7.5,
-9
] | 0.970768 | [
0.14035470702443772,
-0.41167056374891775,
1.0828367034153594,
0.24689884773562615,
1.0393207688160122,
-0.16314816707676358,
1.2177291789763816,
0.42217072596222605,
0.07624023991153746,
0.4151847266415563,
-0.061456120185043435,
0.8760547960369985,
1.1494385055786245,
0.22249599534017778... | {
"n_parameters": 77,
"n_qubits": 9,
"optimal_eigenvalue": -81,
"target_ratio": 0.97,
"target_value": -78.57
} | 6 |
2c69f66e23c234e31f1d5ec8aa443338 | connected_components | 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": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}]} | {"states": [63, 62], "expectation_value": -6.008987836679473, "params": [[[-0.11800000000000001, 3.1621], [0.0028, -0.0117], [0.0025, -0.0029000000000000002], [0.0024000000000000002, 0.0025], [1.6114000000000002, -0.005200000000000001], [-0.0018000000000000002, 0.0012000000000000001]]], "bitstrings": ["000000", "000001... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -0.5 * Z(5) | 15 | 6 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["000001"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(0.04711975617208431) q[0];
ry(-0.1325599692463841) q[1];
ry(0.05687606388497443) q[2];
ry(0.004888508310247848) q[3];
ry(2.426655310760118) q[4];
ry(0.03493424051288598) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZZII",
"IZZIII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IIIZII",
"IZIIII",
"ZIIIII"
] | [
-1,
-1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.972855 | [
0.04711975617208431,
-0.1325599692463841,
0.05687606388497443,
0.004888508310247848,
2.426655310760118,
0.03493424051288598,
3.206370410814248,
0.05299809981433146,
-0.05722795343488331,
-0.15391392497352788,
-0.11681779862718587
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 13 |
bbe36c72142a04c8b1698fed3f77c25c | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target"... | {"states": [20, 17], "expectation_value": -6.904566714857111, "params": null, "bitstrings": ["01011", "01110"], "total_optimization_steps": 28, "probabilities": [0.13248903201254356, 0.656043561363698], "optimization_time": 22.3331196308136} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -3.0 * Z(1) + -2.5 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 9 | 5 | 3 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "01110", "01101"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016228639223514973) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.016228639223514973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.016228639223514973) q[2];
cx q[0], q[2];
rz(-1.196649630207868) q[0];
rx(1.6249956830407981) q[0];
h ... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5709) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
1.75,
1.75,
2,
1.75,
2,
-3,
-2.5,
-3,
-2.5,
-2.5
] | 0.981439 | [
-0.016228639223514973,
1.522688419965938,
-1.1966496302078677,
1.624995683040798,
-0.8755811242009026,
0.7452257823272057,
0.2393407597375708,
0.22077208961471634
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
eaf152c9366c1fc70b9994ec462b6b4c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [35, 7], "expectation_value": -0.9203526437415671, "params": [[0.053200000000000004, 0.0608, 0.0702, 0.0639], [-0.029500000000000002, -0.0476, -0.0545, -0.048400000000000006]], "bitstrings": ["011100", "111000"], "total_optimization_steps": 10, "probabilities": [0.025962394574249075, 0.027029890376329184], "... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(3) + -1.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000", "011100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.6888090260409325) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.6888090260409325) q[3];
cx q[2], q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.6888090260409325) q[1];
cx q[2], q[1];
rz(0.6888090260409325) q[3];
cx q[0], q[3];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IIIZZI",
"IIZIZI",
"IZIIZI",
"ZIIZII",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1,
-1.5,
0,
-0.5
] | 0.97417 | [
0.6888090260409325,
-0.8365933516710795,
0.4055984428236141,
-0.5984647884441731,
0.6289659276331325,
0.03651754152469934,
-0.5975771749548225,
-0.20606642446438989,
0.7006882864312995,
-0.769960966506855,
-1.1910601522991142,
-0.06878545903780295,
-0.25779646726100014,
0.6591243819959086,... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 36 |
087038e9edc1ea672825729ff4eba005 | 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": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6... | {"states": [32574, 32575], "expectation_value": -1.2068600609417597, "params": [1.6049, 0.009000000000000001, 1.6101, 0.0089, 1.6092000000000002, 0.0045000000000000005, 1.6127, 0.0012000000000000001, 1.6106, 0.0041, 1.609, 0.0025, 1.6034000000000002, 0.0097, 0.0023, 0.0066, 0.0023, 0.0023, 1.6061, 0.006200000000000001,... | 0.5 * (Z(9) @ Z(11)) + 1.0 * (Z(12) @ Z(11)) + 0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(10) @ Z(11)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(12)) + -0.5 * (Z(0) @ Z(9)) + -0.5 * (Z(0) @ Z(10)) + -1.0 * (Z(1) @ Z(9)) + -1.0 * (Z(1) @ Z(10)) + 0.9090909090909091 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(9)) + -0.5 * (Z(2) @ Z(10)) + 0... | 18 | 15 | 1 | {"smallest_eigenvalues": [-20.27272727272695], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999854, "smallest_bitstrings": ["000000011000000"], "largest_eigenvalue": 36.90909090909083} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(2.8614287082955054) q[0];
rz(-0.4707583099811581) q[0];
rx(3.4155641567142934) q[1];
rz(0.7617627833178526) q[1];
rx(3.355608374216573) q[2];
rz(-0.7114090480604071) q[2];
rx(3.1031710721717287) q[3];
rz(-1.6856091863259048) q[3];
rx(3.298981659218298) q[4];
rz(-0.6... | 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIZIIIIIIIII",
"IIZZIIIIIIIIIII",
"IIZIIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"IIIIZZIIIIIIIII",
"IIZIZIIIIIIIIII",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIIZ",
"IIIIIZIIIIIIIZI",
"IIIIZIIIIIIIIZI",
"IIIIIIIIIIIIIZZ",
"IIIIIZIIIIIIZII",
"IIIIZIIIIIIIZII",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZZI",
"... | [
0.5,
1,
0.5,
0.5,
1,
0.5,
-0.5,
-0.5,
-1,
-1,
0.9090909090909091,
-0.5,
-0.5,
0.45454545454545453,
0.9090909090909091,
0.5,
0.5,
1,
1,
1,
0.9090909090909091,
0.45454545454545453,
-0.045454545454545456,
4.5,
1,
4.5,
1,
0.8181818181818181,
1.6363636363636362,
... | 0.9787 | [
2.8614287082955054,
0.09322718931803065,
3.4155641567142934,
0.7617627833178526,
3.355608374216573,
-0.7114090480604071,
3.1031710721717287,
-1.6856091863259048,
3.298981659218298,
-0.6650424839892606,
3.2225156967133604,
-0.880104913848808,
2.9895579168603836,
-0.7932929792033736,
0.084... | {
"n_parameters": 36,
"n_qubits": 15,
"optimal_eigenvalue": -20.27272727272695,
"target_ratio": 0.97,
"target_value": -19.66454545454514
} | 33 |
9b8c0ccb32d0f88d964f624767035a96 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [1, 9], "expectation_value": -1.0562297203965472, "params": [[-0.0655, -0.0245], [0.0785, 0.053200000000000004]], "bitstrings": ["11111110", "11110110"], "total_optimization_steps": 10, "probabilities": [0.007058458036410223, 0.007346381230629431], "optimization_time": 2.7855355739593506} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + 2.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + -0.75 * Z(6) + 0.75 * Z(2) + -1.0 * Z(3) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["11110110"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.39636875710932784) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.025445399608615533) q[2];
cx q[1], q[2];
rz(0.7435363741497949) q[1];
rx(1.5892963016699295) q[1];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.025383228227577177) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IIIIIZZI",
"IIIZZIII",
"IIIIZZII",
"IIZIIZII",
"IIZIZIII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-0.75,
-0.5,
-0.75,
-1.25,
-0.25,
-0.75,
-0.25,
-1.5,
2.25,
-0.75,
-1,
-0.25,
0.5,
-0.75,
0.75,
-1,
0.25,
1.5
] | 0.928057 | [
0.39636875710932784,
-0.025383228227577177,
-0.025445399608615533,
0.48494604258427165,
-0.12110685350730785,
-0.06267444957194843,
0.7435363741497948,
-0.5272969720301025,
0.8112275368431179,
0.6305407508444273,
-0.6721587925890405,
1.5892963016699295,
0.6494780915974173,
-0.0574263798070... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 500 |
cf63e2458a0741acd2ef8c128602eb3a | 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": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [1786, 1770], "expectation_value": -2.5255973546105204, "params": [0.30010000000000003, -0.0089, 0.29860000000000003, -0.009000000000000001, 0.3, 0.004200000000000001, 0.3048, 0.004, 0.1029, 0.0966, 0.10260000000000001, 0.1017, 0.3009, 0.010700000000000001, 0.303, 0.010100000000000001, 0.2987, -0.00130000000... | 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)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(6) @ Z(4... | 7 | 11 | 4 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.8125, "smallest_bitstrings": ["00101000101", "00100011100", "00100010110", "00100010101", "01000010110", "01001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.3269969770889281) q[0];
rz(-0.5504036056506698) q[0];
rx(0.35954196878096667) q[1];
rz(-0.012404751640308812) q[1];
cx q[1], q[0];
rz(0.228453187285069) q[0];
cx q[1], q[0];
rz(1.5964531905415136) q[0];
ry(0.9908209005626359) q[0];
rz(-1.7445090548379003) 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": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIZIIIIIZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIZIIZIII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIIZZIIZ",
"IIIIIZIZIIZ",
"IIIIZIIZIIZ",
"IIIIIZZIIIZ",
"IIIIZIZII... | [
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.125,
0.1... | 0.972321 | [
0.3269969770889281,
-0.3219504183656007,
0.35954196878096667,
-0.012404751640308812,
0.23307960273110617,
-0.08636312566796234,
0.42336248146771394,
0.3708386300171518,
0.1622252850494044,
-0.21764395063298858,
0.219072816073935,
0.017256355300506152,
0.01842232375394045,
0.122346478424125... | {
"n_parameters": 187,
"n_qubits": 11,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 33 |
1395080614987992643 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 5, 6], [0, 8, 7], [6, 7], [1, 3, 5], [4, 5], [1, 2, 7], [8, 6], [2, 6], [8, 4], [4, 6], [0, 3], [0, 1, 4], [8, 2, 3]]} | {"states": [397, 459], "expectation_value": -1.0976709330744179, "params": [[0.2701], [-0.25370000000000004]], "bitstrings": ["001110010", "000110100"], "total_optimization_steps": 30, "probabilities": [0.006436105087525675, 0.006468259210933328], "optimization_time": 4.69629979133606} | 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.500000000000001, "smallest_bitstrings": ["000110100"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.07851477751944277) q[0];
cx q[5], q[0];
h q[6];
cx q[5], q[6];
rz(0.07851477751944277) q[6];
cx q[5], q[6];
cx q[0], q[6];
cx q[5], q[1];
rz(0.07851477751944277) q[1];
cx q[5], q[1];
cx q[5], q[3];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[5], q[6];
rz(x0) q[6];
cx q[5], q[6];
cx q[0], q[6];
rz(x0) ... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIIZ",
"IIZZIIIII",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IZIIIIIIZ",
"IZZIIIIII",
"ZZIIIIIII",
"IIIZIIIZI",
"IIIIIIIZZ",
"IZIIIIIZI",
"IIIZIZIII",
"IIIIIZIIZ",
"ZIIIIZIII",
"IIIIIZIZI",
"IIIZZIIII",
"IIIIZIIIZ",
"IIZIZIIII",
"ZIIIZIIII",
"IIIIZIIZI",
"IIZIIIZII",
"... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.1666666666... | 0.467894 | [
0.07851477751944277,
0.6923669945973953,
0.377945357097207,
-0.7231175366213988
] | {
"n_parameters": 4,
"n_qubits": 9,
"optimal_eigenvalue": -3.833333333333335,
"target_ratio": 0.97,
"target_value": -3.7183333333333346
} | 105 |
79a8e3a0fef1f64abee7a612676322e4 | 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": [760, 696], "expectation_value": -95.01590682546794, "params": [-0.0033, 0.4133, 0.5976, 0.0666, 0.1951, 0.2099, 0.6008, 0.0443, 0.3885, 0.1515, 0.6023000000000001, -0.0063, 0.6046, 0.017, 0.5965, 0.15940000000000001, 0.3891, 0.13340000000000002, 0.0021000000000000003, 0.4572, 0.0019, 0.37310000000000004, -0... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(8) @ Z(5)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(6) @ Z(8)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(10) @ Z(6)) + -7.0 * Z(0) + 17.0 * Z(1) + 0.5 * Z(2) + 24.5 * Z(3) + ... | 18 | 11 | 4 | {"smallest_eigenvalues": [-138.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -126.5, "smallest_bitstrings": ["10101000111"], "largest_eigenvalue": 184.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.0724951651335205) q[0];
rz(0.28653685300997767) q[0];
rx(0.7369265695185749) q[1];
rz(0.2656894072267789) q[1];
rx(0.08891819226665319) q[2];
rz(0.5087154055915182) q[2];
rx(0.8675572483180827) q[3];
rz(0.007718653783627877) q[3];
rx(0.10014034788313296) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIZIZIII",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIZIIZIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"IIIZZIIIIII",
"ZIIIZIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIZIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
-7,
17,
0.5,
24.5,
14.5,
5,
8.5,
7,
16.5,
-6.5,
-14.5
] | 0.972854 | [
0.0724951651335205,
0.45641216235844234,
0.7369265695185749,
0.2656894072267789,
0.08891819226665319,
0.5087154055915182,
0.8675572483180827,
0.007718653783627877,
0.10014034788313296,
0.18031830800803955,
0.5649218713647605,
0.12782550385613817,
0.756145160844202,
-0.04402752396176525,
... | {
"n_parameters": 127,
"n_qubits": 11,
"optimal_eigenvalue": -138.5,
"target_ratio": 0.97,
"target_value": -134.345
} | 17 |
74e5b8afd1f04f850c8f51ecde3fef19 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": ... | {"states": [883, 971], "expectation_value": -0.06813623525840205, "params": [[0.0466, 0.052000000000000005], [-0.0352, -0.0379]], "bitstrings": ["0010001100", "0000110100"], "total_optimization_steps": 10, "probabilities": [0.001147588220316702, 0.001147606297652748], "optimization_time": 15.853808879852295} | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 1 | 10 | 2 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.4375, "smallest_bitstrings": ["0000110100", "1000000101", "0001010010", "0010001100"], "largest_eigenvalue": 5.5625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3288835488220096) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(-0.3288835488220096) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.3288835488220096) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(-0.3288835488220096) q[0];
cx q[3], q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIZIIZZ",
"IIIIIIZZIZ",
"IIIIIZIZIZ",
"IIIIIZZIIZ",
"IIIIIIZZZI",
"IIIIIZIZZI",
"IIIIIZZIZI",
"IIIIIZZZII"... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25... | 0.710578 | [
-0.3288835488220096,
-0.4569013984649304,
0.39546902870984457,
-0.3214849664719219,
0.9367080556633262,
0.16515648853293044,
-0.1360939212779516,
0.39540444651921214,
0.8277812160071212,
-0.22629743565087163,
-0.6257377300833731,
0.5468911503864696,
0.21370137785717494,
0.4954772027731417,... | {
"n_parameters": 21,
"n_qubits": 10,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 500 |
b2edf981a9c05ff141b468ab5531d2c7 | 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": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [35, 11], "expectation_value": -0.729016772230995, "params": [[-0.040400000000000005, -0.06570000000000001, -0.0575, -0.06470000000000001], [0.0223, 0.0654, 0.0614, 0.06570000000000001]], "bitstrings": ["011100", "110100"], "total_optimization_steps": 10, "probabilities": [0.02830282382633323, 0.028302823826... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + -1.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["011100", "110100"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.5248550386083428) q[0];
ry(-0.10221270413882634) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
ry(-0.09127413307150792) q[3];
h q[4];
ry(1.5248550386083428) q[4];
h q[5];
ry(-0.09127413307150792) q[5];
cx q[2], q[5];
ry(0.09127413307150792) q[5];
cx q[2], q[5];
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] 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": []} | [
"IIIIZZ",
"IIIZIZ",
"IZIIZI",
"ZIIIZI",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-1
] | 0.971484 | [
-1.505134990804261,
-0.18254826614301584,
1.5248550386083428,
-0.03839767417260796,
1.417504350103393,
0.9854096523880066,
-0.5343385890345632,
-0.5625052963746807,
0.13394661936504978,
0.07310273629638185,
0.1078849727528113,
-0.5444759194660239,
-0.4696532586096871,
-0.1666927772157234,
... | {
"n_parameters": 30,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 35 |
3b4195810bf2a6f7a0a91b99109270dd | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 4}, {"weight": 12, "source": 1, "target": 4}, {"weight": 2, "source": 2, "target": 3}, {"... | {"states": [207, 110], "expectation_value": -29.55606641180389, "params": [[0.008700000000000001, 0.020900000000000002, 0.0048000000000000004, -0.0002], [-0.0194, -0.056400000000000006, -0.055600000000000004, -0.054900000000000004]], "bitstrings": ["00110000", "10010001"], "total_optimization_steps": 10, "probabilities... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 185.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.1020153173383266) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.1020153173383266) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1020153173383266) q[2];
cx q[0], q[2];
rz(-0.3646141913977723) q[0];
rx(-0.16040213888355992) q[0];
h q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIZI",
"IIIZIZII",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IZIZIIII",
"IZIIZIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
21,
4.5,
18,
22.5,
5,
9.5,
21,
16
] | 0.972998 | [
-0.1020153173383266,
0.28237012894823954,
-0.3646141913977715,
0.4781777606967153,
0.1648516455853896,
-0.32378281246999085,
0.8072608291429014,
-0.37037856100101546,
-0.1604021388835599,
0.1078696860819991,
1.2637155184460778,
-0.08105797484333403,
0.4933282028096999,
1.4631829679049078,
... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -78.5,
"target_ratio": 0.97,
"target_value": -76.145
} | 43 |
dc8ac5f82febba9dcace181eb5c76eb3 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 5}, {"weight": 1, "... | {"states": [1381, 1385], "expectation_value": -1.5094669963639902, "params": [-0.0039000000000000003, -0.0004, 0.7874, 0.7911, -0.0115, 0.0135, 0.7917000000000001, 0.7965, 0.0044, -0.0027, 0.7898000000000001, 0.7853, 0.7933, 0.7959, 0.0085, -0.0017000000000000001, -1.0166, -0.6754, 0.728, 0.6961, 0.00030000000000000003... | 0.25 * (Z(0) @ Z(1)) + -0.001020408163265306 * (Z(2) @ Z(0)) + -0.001020408163265306 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.000510204081632653 * (Z(4) @ Z(0)) + -0.001020408163265306 * (Z(4) @ Z(2)) + 0.000510204081632653 * (Z(5) @ Z(1)) + -0.001020408163265306 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00025510204... | 13 | 12 | 2 | {"smallest_eigenvalues": [-1.514540816326532], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5145408163265315, "smallest_bitstrings": ["101010010110"], "largest_eigenvalue": 1.5170918367346933} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.009159858931667007) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.009159858931667007) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.009159858931667007) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.009159858931667007) 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] 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[... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.001020408163265306,
-0.001020408163265306,
0.25,
0.000510204081632653,
-0.001020408163265306,
0.000510204081632653,
-0.001020408163265306,
0.25,
0.0002551020408163265,
0.0003826530612244898,
0.0002551020408163265,
0.0002551020408163265,
0.0003826530612244898,
0.00025510204081632... | 0.813356 | [
0.009159858931667007,
0.12494940013551502,
-0.9996743752342083,
-1.0785898614158156,
0.2672658208067165,
1.0891742212764537,
-1.2802161128055969,
0.024697662159371404,
0.6853541264808383,
-0.33614577142982505,
-0.6001841465958335,
0.46393008337570263,
0.1161236905431224,
-0.536284086667138... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 415 |
d315d70b641adb2c12afcb5c124b2e90 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [91, 93], "expectation_value": -84.05776075298311, "params": [[[1.5729, 1.5733000000000001], [-1.5732000000000002, 1.5738], [1.5686, 1.5688], [1.5684, 1.5730000000000002], [1.5682, 1.5732000000000002], [1.5682, 4.732600000000001], [1.5683, -0.0412], [1.5684, -1.5685], [1.5686, 1.5682]]], "bitstrings": ["1101... | 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(5) @ Z(2)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(3) @ Z(5)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(5)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(8) @ Z(6)) + 22.5 * Z(2) + -2.5 * Z(1) + 22.0 * Z(5) + 12.0 * Z(3) + 16.5 * Z(4) + 4.0 * Z(... | 15 | 9 | 1 | {"smallest_eigenvalues": [-85.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["110100010"], "largest_eigenvalue": 182.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.7167352845335013) q[0];
ry(-1.7012929288285947) q[1];
ry(1.5572665579533362) q[2];
ry(1.5760146588361008) q[3];
ry(1.6139615629904) q[4];
ry(1.6139615629904) q[5];
ry(1.5329306074885112) q[6];
ry(1.5760146588361008) q[7];
ry(1.5572665579533362) q[8];
cx q[8], q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIZIIZII",
"IIIIIZZII",
"IIIZIZIII",
"IIIIZIZII",
"IIIZZIIII",
"IIIIZZIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIIZIII",
"IIIIZIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIIZ"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
22.5,
-2.5,
22,
12,
16.5,
4,
5.5,
16.5,
-9
] | 0.970486 | [
1.7167352845335013,
-1.7012929288285947,
1.5572665579533362,
1.5760146588361008,
1.6139615629904,
1.5329306074885112,
1.627834796096383,
1.5575690413635173,
1.5683634593132936,
1.6288264753848587,
1.6769404391029936,
4.8168047412874975,
-0.09316033539628957,
-1.6477660676039558
] | {
"n_parameters": 14,
"n_qubits": 9,
"optimal_eigenvalue": -85.5,
"target_ratio": 0.97,
"target_value": -82.935
} | 2 |
1c5d1381d8045df60eb241fe502287d3 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": ... | {"states": [0, 135], "expectation_value": -30.216037376678464, "params": [-0.0018000000000000002, 1.2063000000000001, -0.0032, 1.4135, 0.0059, 1.1561000000000001, -0.010700000000000001, 1.3386, 0.5319, 0.6113000000000001, 0.4021, 1.065, -0.4403, -1.4592, 0.29550000000000004, -0.6534, -0.0008, 1.0133, 0.0037, 1.399, -0.... | -3.0 * (Z(0) @ Z(1)) + 1.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -3.5 * (Z(5) @ Z(1)) + 1.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + -2.0... | 6 | 10 | 3 | {"smallest_eigenvalues": [-32.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.0, "smallest_bitstrings": ["1101111000"], "largest_eigenvalue": 29.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rz(-pi) q[0];
ry(-0.0469402290191681) q[0];
ry(-0.006734321659309033) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
ry(-0.06717540740365421) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.5827175563940483) q[5];
cx q[5], q[0];
ry(0.04464761442408521) q[0];
cx q[5], q[0];
ry(-0.00116391938367... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIIZIZIII",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIZIIII",
"IIIZZIIIII",
"IZZIIIIIII",
"IZIIIIIZII",
"IIZIIIIZII",
"ZZIIIIIIII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ"... | [
-3,
1.5,
-3,
-2.5,
0.5,
-3.5,
1.5,
-3,
0.5,
1,
1,
-2.5,
-2.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
-3,
-2.5,
-2.5,
1,
-2.5,
-2.5,
0.5,
0.5,
0.5,
0.5
] | 0.966229 | [
-1.581858588435739,
-1.5827175563940483,
-1.5730889413899798,
-0.08929522884817041,
-1.567012916357841,
-0.0023278387673489167,
-0.0034155684297446313,
0.003948709747273392,
1.4634202878432003,
-0.009746326494580364,
0.00997636903925454,
0.008727371946632615,
1.5676188468578816,
1.21256185... | {
"n_parameters": 79,
"n_qubits": 10,
"optimal_eigenvalue": -32,
"target_ratio": 0.97,
"target_value": -31.04
} | 500 |
9e72b7dd0d69a46b7f007aaed5517323 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 5, "target": 3}]} | {"states": [6, 7], "expectation_value": -1.4081322267216783, "params": [[[0.5144000000000001, 0.2364], [0.5969, -0.19970000000000002], [0.5987, -0.19790000000000002], [0.9882000000000001, -0.0012000000000000001], [0.9828, 0.0016], [0.7934, -0.0051]], [[0.5167, 0.0018000000000000002], [0.5971000000000001, 0.0002], [0.60... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 * ... | 1 | 6 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(1.5706415412178192) q[0];
ry(0.17738065745091058) q[0];
rz(-1.2289331769937306) q[0];
rz(-2.0064394391485636) q[1];
ry(0.05195164644631841) q[1];
rz(1.6158226668893017) q[1];
rz(-1.4591808629773537) q[2];
ry(0.1438680830206584) q[2];
rz(1.3823592347405116) q[2];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
1.75,
2,
2,
2,
2,
2,
2,
1.75,
-0.5,
-1,
-0.5,
-0.25,
-0.5,
-0.25
] | 0.981301 | [
0.1774500647835066,
0.3748855468174612,
0.04098849267156553,
-0.24415803312160173,
-0.24801868974247307,
-0.151177436467156,
1.6175791763168208,
-0.03242731533050097,
1.9188194167141894,
0.05578166470394768,
1.8647875584561593,
-0.06973403478083848,
-0.0000745897025684443,
-0.0331747529448... | {
"n_parameters": 24,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 16 |
-6663575171690300114 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 5], [0, 2], [3, 4], [2, 6]]} | {"states": [101, 105], "expectation_value": -0.02099142158588806, "params": [[0.056900000000000006], [-0.046400000000000004]], "bitstrings": ["0011010", "0010110"], "total_optimization_steps": 10, "probabilities": [0.008145034636630053, 0.008145034636630053], "optimization_time": 0.4224870204925537} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(6) | 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": ["1000111", "1101001", "0110100", "0111000", "0010110", "1100101", "0011010", "1001011"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(1.2861933385825084) q[0];
cx q[2], q[0];
rz(4.024502509025751e-09) q[0];
rx(-0.7853981614949748) q[0];
h q[3];
h q[4];
cx q[4], q[3];
rz(1.2861933385825084) q[3];
cx q[4], q[3];
rz(4.024502509025751e-09) q[3];
rx(-0.785398161494... | 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[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[2], q[6];
... | null | {"circuits": [], "gradients": []} | [
"IZIIIZI",
"IIIIZIZ",
"IIZZIII",
"ZIIIZII",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIZIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.7872 | [
1.2861933385825084,
4.024502449219773e-9,
-0.7853981614949749
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 103 |
12625ff7963f220cedd44f15c6035b49 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 1}, {"capacity": 4, "so... | {"states": [1762, 1506], "expectation_value": -9.2737875103354, "params": [[-0.06810000000000001, -0.0483, -0.0538], [0.0784, 0.0719, 0.07540000000000001]], "bitstrings": ["1100100011101", "1101000011101"], "total_optimization_steps": 10, "probabilities": [0.0006774556278783762, 0.0006774556278783766], "optimization_ti... | -1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(8)) + 2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(8)) + 4.0 * (Z(4) @ Z(3)) + -1.0 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(3)) + -2.0 * (Z(9) @ Z(4)) + 1.0 * (Z(5) @ Z(6)) + 2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + -0.5 *... | 1 | 13 | 3 | {"smallest_eigenvalues": [-19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -18.75, "smallest_bitstrings": ["1101000011010", "1100000000101", "1110000010010", "1101000011101", "1110000010101", "1110000001101", "1100000000010", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[5];
rz(0.0337115844172802) q[5];
cx q[6], q[5];
h q[7];
cx q[6], q[7];
rz(0.018414539975709646) q[7];
cx q[6], q[7];
cx q[5], q[7];
rz(-2.0778790141223) q[6];
rx(1.332290205529361) q[6];
rz(0.0337115844... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZII",
"IIIIIIIIIZZII",
"IIIIZIIIIZIII",
"IIIIIIIIZIZII",
"IIIIZIIIZIIII",
"IIIIIIIIZZIII",
"IIIZIIIIIIZII",
"IIIZZIIIIIIII",
"IIIZIIIIIZIII",
"IIIZIIIIZIIII",
"IIIIIIZZIIIII",
"IIIIIZZIIIIII",
"IIIIIZIZIIIII",
"IIIIIIIIIIZIZ",
"IIIIZIIIIIIIZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIZII... | [
-1,
2,
-2,
2,
-2,
4,
-1,
1,
-2,
-2,
1,
2,
1,
0.5,
-0.5,
1,
1,
-0.5,
0.5,
-0.5,
1,
1,
-0.5,
0.25,
-0.5,
0.5,
-1,
-1,
0.5,
-0.5,
-0.5,
-1,
1,
-2,
-2,
1,
-1,
-1,
1,
-0.5,
0.5,
-1,
-1,
0.5,
-0.5,
-0.5,
0.5,
1,
2,
-2,
4,
... | 0.934646 | [
-0.017945495095570838,
0.018414539975709646,
-0.01256029963426791,
-0.822997322774261,
0.0337115844172802,
0.09403212308213957,
-0.049568322743649015,
-0.09733760106877386,
-2.0778790141223,
-0.6586234365540318,
1.117303174346778,
1.332290205529361,
0.16829227678709818,
-0.1470933503730152... | {
"n_parameters": 34,
"n_qubits": 13,
"optimal_eigenvalue": -19.75,
"target_ratio": 0.97,
"target_value": -19.1575
} | 500 |
5889548792366404832 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[8, 10, 5, 6], [1, 2, 12], [9, 3, 6], [1, 10, 5], [8, 11, 12], [0, 2, 3], [9, 2, 3, 1], [2, 11], [0, 12, 6], [0, 9, 2], [1, 10, 12], [8, 4], [6, 7]]} | {"states": [1757, 1725], "expectation_value": -4.190509266836568, "params": [0.0026000000000000003, 0.0027, -0.0179, 0.022500000000000003, 1.6331, 1.5135, 2.5389, 0.6093000000000001, -0.0026000000000000003, -0.0024000000000000002, 1.6106, 1.5216, 2.1237, 2.3185000000000002, 0.4368, -0.201, 1.5732000000000002, 1.5733000... | 0.08333333333333333 * (Z(8) @ Z(10)) + 0.25 * (Z(5) @ Z(10)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(10)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(1) @ Z(10)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.25 * (Z(2) @ Z(1)) + 0.166... | 14 | 13 | 1 | {"smallest_eigenvalues": [-4.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.249999999999999, "smallest_bitstrings": ["1100101000010"], "largest_eigenvalue": 11.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(-0.021903734832870714) q[0];
rz(pi/2) q[0];
ry(0.07504435786320429) q[1];
ry(1.7847167944066236) q[2];
ry(2.4301550364008797) q[3];
ry(0.0998541076490731) q[4];
ry(1.5260388140976742) q[5];
ry(2.3610190028245452) q[6];
ry(0.28829794749986964) q[7];
ry(1.667300042309... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIZIZIIIIIIII",
"IIZIIIIZIIIII",
"IIIIZIIZIIIII",
"IIZIIIZIIIIII",
"IIIIZIZIIIIII",
"IIIIIIZZIIIII",
"IIZIIIIIIIIZI",
"IIIIIIIZIIIZI",
"IIIIIIIIIIZZI",
"ZIZIIIIIIIIII",
"ZIIIZIIIIIIII",
"ZIIIIIZIIIIII",
"ZIIIIIIIIIIZI",
"ZIIIIIIIIIZII",
"IIIZIIZIIIIII",
"IIIZIIIIIIIZI",
"IIIZIIIIIIZ... | [
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.3333333333333333,
0.16666666666666666,
0.25,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.0... | 0.970433 | [
-0.021903734832870714,
0.07504435786320429,
1.7847167944066236,
2.4301550364008797,
0.0998541076490731,
1.5260388140976742,
2.3610190028245452,
0.28829794749986964,
1.667300042309068,
1.569302473925888,
1.5760881517933023,
1.5954391330208835,
1.7341104178422346,
0.04701675696284274,
-0.1... | {
"n_parameters": 50,
"n_qubits": 13,
"optimal_eigenvalue": -4.333333333333333,
"target_ratio": 0.97,
"target_value": -4.203333333333333
} | 11 |
-3150591911711143831 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 4, 5], [0, 2, 5], [2, 6, 7, 8, 9], [3, 4, 5, 7, 8], [1, 2, 4, 9], [2, 3, 4, 7, 8], [3, 10, 2], [1, 3, 9], [1, 10, 6], [8, 1, 2, 7], [0, 6, 7], [1, 3, 5, 6, 7], [8, 1, 10, 5], [8, 2, 10, 7], [2, 5, 7, 9, 10], [2, 5, 6], [9, 3, 6, 7], [8, 0, 3, 7], [8, 0, 3... | {"states": [862, 1886], "expectation_value": -5.817770449926715, "params": [[[1.6437000000000002, -1.5015, 0.0037, 0.0092], [0.0024000000000000002, -1.5014, 0.0024000000000000002, 0.0067], [1.5682, 0.0028, 1.5734000000000001, 0.003], [2.0106, 0.003, 1.1253, 0.0037], [1.5729, -0.0028, 1.5733000000000001, 0.0064], [1.883... | 0.25 * (Z(1) @ Z(4)) + 0.21666666666666667 * (Z(5) @ Z(4)) + 0.3 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.21666666666666667 * (Z(0) @ Z(5)) + 0.13333333333333333 * (Z(2) @ Z(4)) + 0.3333333333333333 * (Z(2) @ Z(1)) + 0.3833333333333333 * (Z(2) @ Z(5)) + 0.166666666... | 11 | 11 | 1 | {"smallest_eigenvalues": [-5.833333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.799999999999999, "smallest_bitstrings": ["00010100001"], "largest_eigenvalue": 27.99999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.6138222684266903) q[0];
rz(-1.5798789761438154) q[0];
ry(0.011686424374346248) q[1];
rz(-1.585453340043295) q[1];
cx q[1], q[0];
ry(0.011686424374346248) q[1];
rz(-0.08610886028441264) q[1];
ry(1.462001130481375) q[2];
rz(0.003599161542813758) q[2];
ry(1.923323840... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} | [
"IIIIIIZIIZI",
"IIIIIZZIIII",
"IIIIIZIIIZI",
"IIIIIIZIIIZ",
"IIIIIIIIIZZ",
"IIIIIZIIIIZ",
"IIIIIIZIZII",
"IIIIIIIIZZI",
"IIIIIZIIZII",
"IIIIIIIIZIZ",
"IIIIZIIIIZI",
"IIIIZZIIIII",
"IIIIZIIIIIZ",
"IIIIZIIIZII",
"IIIZIIZIIII",
"IIIZIIIIIZI",
"IIIZIZIIIII",
"IIIZIIIIIIZ",
"IIIZIIIIZ... | [
0.25,
0.21666666666666667,
0.3,
0.16666666666666666,
0.08333333333333333,
0.21666666666666667,
0.13333333333333333,
0.3333333333333333,
0.3833333333333333,
0.16666666666666666,
0.3833333333333333,
0.26666666666666666,
0.21666666666666667,
0.3833333333333333,
0.1,
0.3833333333333333,
... | 0.990177 | [
1.6138222684266903,
-1.5798789761438154,
0.011686424374346248,
-1.585453340043295,
1.462001130481375,
0.003599161542813758,
1.9233238400735524,
0.025396472972392704,
1.6039283504480997,
0.02794427012395854,
2.1038492999406593,
-0.09455252093085295,
1.6200357409613135,
0.030400979729703438,... | {
"n_parameters": 33,
"n_qubits": 11,
"optimal_eigenvalue": -5.833333333333332,
"target_ratio": 0.97,
"target_value": -5.658333333333332
} | 1 |
629064d27778679294f16fb68c627d78 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -6.054919041944265, "params": [[[0.0033, 0.0076], [0.0015, 0.0023], [-0.0004, 0.0028], [0.0037, -0.0028], [0.0022, 0.0026000000000000003], [0.0034000000000000002, 0.0024000000000000002], [0.0854, 0.0053], [1.7044000000000001, -0.0026000000000000003]], [[0.0046, 1.6482], [0.00... | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ ... | 15 | 8 | 2 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.06790606828601531) q[0];
ry(-0.19378190667385042) q[1];
ry(0.26525675236889135) q[2];
ry(0.3085519872831255) q[3];
ry(-0.08750380138537002) q[4];
ry(0.1670886418927537) q[5];
ry(-0.12914170348052573) q[6];
ry(2.711521101072561) q[7];
cx q[7], q[0];
cx q[6], q[7];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IZIIIZII",
"IZIIIIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"IZIIIIZI",
"IZIZIIII",
"IIIZIIZI",
"ZIZIIIII",
"IIZIIIZI",
"IIIIZZII",
"IZIIZIII",
"ZIIIZIII",
"IIIZZIII",
"IIZIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IIIIZII... | [
-0.25,
-0.25,
-0.25,
-0.5,
0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
-0.5,
-0.5,
-0.25,
-1,
-0.25,
-0.25,
1.25,
-0.75,
0,
-0.5,
0.5,
0
] | 0.971644 | [
0.06790606828601531,
-0.19378190667385042,
0.26525675236889135,
0.3085519872831255,
-0.08750380138537002,
0.1670886418927537,
-0.12914170348052573,
2.711521101072561,
0.017142781392932717,
0.04988119033459587,
0.13485690303009606,
0.02740877087440155,
-0.1282859228707568,
-0.02651321364155... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 44 |
f619afa25c1921f996d128a1dfefef72 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 3, "target": 4}, {"weight": 1, "... | {"states": [1386, 2709], "expectation_value": -0.016040514426638765, "params": [[0.07], [-0.0777]], "bitstrings": ["101010010101", "010101101010"], "total_optimization_steps": 10, "probabilities": [0.0002604471977603721, 0.0002604471977603722], "optimization_time": 4.957663297653198} | 0.25 * (Z(0) @ Z(1)) + -0.0017499999999999998 * (Z(2) @ Z(0)) + -0.0017499999999999998 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0017499999999999998 * (Z(4) @ Z(0)) + 0.00025000000000000006 * (Z(4) @ Z(2)) + -0.0017499999999999998 * (Z(5) @ Z(1)) + 0.00025000000000000006 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.52, -1.52], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5159999999999996, "smallest_bitstrings": ["101010010101", "010101101010"], "largest_eigenvalue": 1.5229999999999997} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.4936559659629063) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.013500835409830762) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.013500835409830762) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(1.4936559659629063) q[3];
cx q[2], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.0017499999999999998,
-0.0017499999999999998,
0.25,
-0.0017499999999999998,
0.00025000000000000006,
-0.0017499999999999998,
0.00025000000000000006,
0.25,
0.00075,
0.00025000000000000006,
0.00025000000000000006,
0.00075,
0.00025000000000000006,
0.00025000000000000006,
0.25,
0.... | 0.974012 | [
1.4936559659629063,
0.013500835409830762,
-0.004945064526051042,
0.0475064589351132,
-0.0973573450378921,
-0.024370407967199997,
0.09398041354422079,
-0.7569490972859623
] | {
"n_parameters": 8,
"n_qubits": 12,
"optimal_eigenvalue": -1.52,
"target_ratio": 0.97,
"target_value": -1.4744
} | 27 |
305451fe42c8e99c594080bbfd8c69fa | 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": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, ... | {"states": [19, 35], "expectation_value": -3.9963269418995533, "params": null, "bitstrings": ["1101100", "1011100"], "total_optimization_steps": 26, "probabilities": [0.06635596786096055, 0.9302847332671536], "optimization_time": 19.44633913040161} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(3) + -1.0 * Z(0) + -0.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(1) + -0.5 * Z(2) + -1.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1011100", "0011011", "0101011", "1110100", "1101100"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.027814750980903902) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
ry(-0.49100116922338494) q[2];
cx q[1], q[2];
ry(0.49100116922338494) q[2];
cx q[1], q[2];
ry(1.0170525385572764) q[1];
ry(-0.507254278499343) q[2];
h q[3];
ry(-1.6292136689337038) q[3];
ry(-0.027814750980903... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIIZIZI",
"IIIZZII",
"IIIIZZI",
"IIZZIII",
"IZZIIII",
"ZIZIIII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-1
] | 0.997185 | [
-1.6292136689337038,
-1.4831408804065311,
1.3973912449279369,
-0.9820023384467699,
0.7457996991728432,
-0.1196813908149234,
-0.3143214037602649,
0.5425056787688665,
-0.38586574947815633,
0.23658047179334926,
-0.3556877717941279,
0.20936317245557942,
0.15268893975321973,
-0.2140717037190976... | {
"n_parameters": 15,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
91fd701868951eab612ba86420778b2e | kclique | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [33, 3], "expectation_value": -14.315141270031734, "params": null, "bitstrings": ["011110", "111100"], "total_optimization_steps": 51, "probabilities": [0.10868101364905021, 0.5506785707904625], "optimization_time": 70.09767866134644} | 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)) + 2.25 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.5 ... | 16 | 6 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.6046606131929824) q[0];
rz(-pi) q[0];
ry(-0.2754248126532229) q[1];
rz(-pi) q[1];
ry(-1.397078670391102) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.7131691907790075) q[3];
cx q[3], q[2];
ry(0.10320605458857647) q[2];
cx q[3], q[2];
ry(-0.09157489833333138) q[3];
ry(-0.4233... | null | {"k": 4} | {"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(-0.0019) 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... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
-5.75,
-5.75,
-5.75,
-6.25,
-5.25,
-5.25
] | 0.970876 | [
-0.7131691907790075,
-0.6029729944224574,
-0.9519977999790217,
-0.0705116018152183,
-0.6867474283253041,
-0.7263254383589139,
-0.20641210917715294,
-0.18314979666666276,
1.246074321202835,
-0.16302890953712407,
0.9836842123631419,
-0.8467113254691783,
-0.29282426768644043,
0.51295746069054... | {
"n_parameters": 35,
"n_qubits": 6,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 32 |
fbed7eb759f2b5af245b5b20e03cfb23 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}], "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": [0, 1], "expectation_value": -38.07219031261328, "params": [[[-0.0013000000000000002, 0.0061], [-0.0012000000000000001, 0.0004], [-0.0022, 0.009600000000000001], [-0.0027, 0.0063], [0.0018000000000000002, 0.0058000000000000005], [1.6069, 0.0047]]], "bitstrings": ["111111", "111110"], "total_optimization_step... | 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)) + 2... | 1 | 6 | 1 | {"smallest_eigenvalues": [-40.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -38.0, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 120.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(0.09362127717423929) q[0];
rz(0.15898723948650006) q[0];
rx(0.01271788291818901) q[1];
rz(-0.3274973128640216) q[1];
rx(-0.2979108091192296) q[2];
rz(-0.003237763520752778) q[2];
rx(-0.02397760534694167) q[3];
rz(0.10163948195161117) q[3];
rx(0.1688669766569415) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
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,
2.75,
-13,
-13,
-13.25,
-13,
-13.25,
-12.5
] | 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 |
31437bbe386073586b0df0b920531f07 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "targ... | {"states": [0, 16383], "expectation_value": -33.20702392761767, "params": [[[0.0027, 1.6054000000000002], [-0.0036000000000000003, 0.0027], [-0.0031000000000000003, 0.003], [0.0019, 0.0028], [0.0019, 0.0019], [0.0025, 0.0017000000000000001], [0.0022, 0.002], [0.0018000000000000002, 0.0019], [-0.0031000000000000003, 0.0... | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(2)) + 1.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(4)) + -2.5 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(6)) + -2.5 * (Z(8) @ Z(5)) + 1.... | 15 | 14 | 1 | {"smallest_eigenvalues": [-38.99999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -36.99999999999999, "smallest_bitstrings": ["00000000000000"], "largest_eigenvalue": 32.99999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
ry(0.012402423660101117) q[0];
ry(-0.22766344675928757) q[1];
ry(0.12252254484831038) q[2];
ry(0.04119602415591503) q[3];
ry(0.04119602415591503) q[4];
ry(-0.2533213419918087) q[5];
ry(-0.011648916678188403) q[6];
ry(-0.04316705374659127) q[7];
ry(0.12252254484831038) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZZ",
"IIIIIIIIIIIZZI",
"IIIIIIIIIIIZIZ",
"IIIIIIIIIZIIZI",
"IIIIIIIIIZIIIZ",
"IIIIIIIIIZIZII",
"IIIIIIIIIIZIIZ",
"IIIIIIIIIIZZII",
"IIIIIIIIIZZIII",
"IIIIIIIZZIIIII",
"IIIIIIZZIIIIII",
"IIIIIIZIZIIIII",
"IIIIIZIZIIIIII",
"IIIIIZIIZIIIII",
"IIIIIZZIIIIIII",
"IIZIZIIIIIIIII"... | [
-2,
0.5,
-2.5,
0.5,
-2.5,
1,
1,
-2,
-2,
-2.5,
-2,
-2.5,
-2,
-2.5,
1,
-2,
-2.5,
-2.5,
-2,
-2,
-2.5,
0.5,
0.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-2,
1,
1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.974484 | [
0.012402423660101117,
-0.22766344675928757,
0.12252254484831038,
0.04119602415591503,
-0.2533213419918087,
-0.011648916678188403,
-0.04316705374659127,
-0.04123008963032377,
0.02584425221515932,
0.05827971107398537,
2.8619658893650395,
0.1175667059131216,
0.17374967535959213,
0.15438956776... | {
"n_parameters": 14,
"n_qubits": 14,
"optimal_eigenvalue": -38.99999999999998,
"target_ratio": 0.97,
"target_value": -37.82999999999998
} | 14 |
58fa04385078dcdc0b5f9361c481400a | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [174, 206], "expectation_value": -1.9093767458551345, "params": null, "bitstrings": ["01010001", "00110001"], "total_optimization_steps": 58, "probabilities": [0.08401115856030354, 0.7713980463996462], "optimization_time": 124.17610239982605} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(4)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -1.125, "smallest_bitstrings": ["00110010", "01000110", "01010001", "01110000", "10001001", "01010100",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.47101618974758475) q[0];
rz(-0.16827364835461855) q[0];
rx(0.48551343822356186) q[1];
rz(0.17804732572877252) q[1];
rx(0.32539434813691376) q[2];
rz(0.5457656730524693) q[2];
rx(-0.21683998807139754) q[3];
rz(0.30031640895019224) q[3];
rx(1.2220557292476708) q[4];
... | 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(-0.5926) q[6], 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] = me... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIZZZIII",
"IIIIZIIZ",
"IZIIIIIZ",
"IZIIZIII",
"IZIIZIIZ",
"IIIZIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IZIZIIII",
"ZIIZIIII",
"ZZIIIIII",
"IZIZIIZI",
"ZIIZIIZI",
"ZZIIIIZI",
"ZZIZIIII",
"ZZIZIIZ... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0,
0.125,
0,
0,
0.125,
0,
0.125,
0.125
] | 0.971822 | [
0.4710161897475848,
-0.09099105680982872,
0.48551343822356186,
0.17804732572877252,
0.32539434813691376,
0.5457656730524693,
-0.21683998807139754,
0.30031640895019224,
1.2220557292476708,
0.00816620436411572,
0.6463337616946943,
0.03026562494828463,
0.5393888844458095,
-0.2593316846640103,... | {
"n_parameters": 71,
"n_qubits": 8,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 45 |
0541faf635a6399f550a5b5935bfa17a | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [502, 733], "expectation_value": -0.04995768270526728, "params": [[0.065], [-0.0596]], "bitstrings": ["1000001001", "0100100010"], "total_optimization_steps": 10, "probabilities": [0.001098772237715854, 0.0010987767361514615], "optimization_time": 6.817355155944824} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100010100", "0011000010", "1000001001", "0010011000", "0100100010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2586347423333518) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.2586347423333518) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2586347423333518) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(0.2586347423333518) q[2];
cx q[3], q[2];
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;
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[0];
cx q[2], q[0];
... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIIZZIIZ",
"IIIIZIZIIZ",
"IIIIZZIIIZ",
"IIIIZZZIII",
"IIIIZZZIIZ",
"IIZZIIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IZZZIIIIII",
"IIIIIIZIZI"... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.2... | 0.849143 | [
0.2586347423333518,
-0.9522193741903392,
-0.4483492681819256,
-1.0023321824572908,
0.8794944450881496,
-1.7734914868935794,
-1.1441282434786142,
-0.46313879118016416
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 241 |
-3009869336801506383 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 4], [0, 5], [2, 5], [3, 6]]} | {"states": [39, 117], "expectation_value": -0.6090547093246732, "params": [[0.3665], [-0.35750000000000004]], "bitstrings": ["1011000", "0001010"], "total_optimization_steps": 40, "probabilities": [0.02208271303416272, 0.02208271303416272], "optimization_time": 1.0344130992889404} | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.16666666666666663 * Z(3) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(4) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8333333333333335, -1.8333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.833333333333333, "smallest_bitstrings": ["1011000", "0001010"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(0.3857718960853026) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(0.3857718960853026) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(0.3857718960853026) q[4];
cx q[1], q[4];
rz(0.38577189608530205) q[1];
rx(-0.7910019571249246)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(x0) q[4];
cx q[1], q... | null | {"circuits": [], "gradients": []} | [
"IIIZIZI",
"IIZZIII",
"IIZIIZI",
"IZIIIIZ",
"IZIIZII",
"ZIIZIII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666663,
0.16666666666666666,
0.16666666666666666,
0,
0,
0,
0
] | 0.676183 | [
0.3857718960853026,
1.1559638638652256,
-0.06383187856549002,
-0.7910019571249245
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -1.8333333333333335,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 114 |
5321897163388403041 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 6, 9], [3, 2, 10], [8, 4, 5], [3, 6], [1, 2], [8, 2, 5], [8, 2, 7], [8, 10], [1, 4], [9, 10], [1, 10], [9, 5, 7], [0, 9, 6], [0, 5, 6], [0, 3, 5], [1, 3, 5], [10, 4, 7], [4, 6], [6, 7], [9, 3], [0, 4], [1, 3, 7], [0, 2], [0, 10], [3, 4, 7], [2, 4, 7], [8,... | {"states": [506, 504], "expectation_value": -6.098640085204886, "params": [0.0027, -2.1927000000000003, -0.0027, 0.0063, -0.0025, 1.3197, 0.0047, 1.8190000000000002, 1.3038, -0.003, 1.8424, 0.0029000000000000002, 1.5473000000000001, -0.0074, 1.0283, 0.0228, 1.5671000000000002, 0.0036000000000000003, 1.5673000000000001,... | 0.3333333333333333 * (Z(1) @ Z(7)) + 0.3333333333333333 * (Z(10) @ Z(7)) + 0.16666666666666666 * (Z(10) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(10)) + 0.5 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(10)) + 0.16666666666666666... | 8 | 11 | 1 | {"smallest_eigenvalues": [-6.6666666666666705], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.666666666666665, "smallest_bitstrings": ["11000000111"], "largest_eigenvalue": 20.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.0061031670044315416) q[0];
rz(-0.46816984758297897) q[0];
rx(-0.05250899314632368) q[1];
rz(1.389249862402316) q[1];
cx q[1], q[0];
ry(0.04092834854182308) q[0];
cx q[1], q[0];
ry(-0.05566714183046773) q[0];
rz(-1.5742175092782755) q[0];
rx(-0.12836456581537728) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIIIZI",
"ZIIZIIIIIII",
"ZIIIIIIIIZI",
"IIIZIIZIIII",
"IIIIIIZIIZI",
"ZIIIIIZIIII",
"IIIIIIIZIZI",
"IIIIIIZZIII",
"IIIIIIIIZZI",
"ZIIIIIIIZII",
"IIIIIIZIZII",
"IIIIIIIZZII",
"IZIZIIIIIII",
"IZIIIIIIIZI",
"IZIIIIIZIII",
"IZIIIIIIZII",
"IIIZIZIIIII",
"IIIIIZIIIZI",
"IIIIIZZII... | [
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.5,
0.3333333333333333,
0.5,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.5,
0.5,
0.16666666666666666,
0.166666666... | 0.974729 | [
0.0061031670044315416,
-2.0389661743778755,
-0.05250899314632368,
1.389249862402316,
1.3496639761261058,
-0.07132914516669381,
1.5208781085383822,
-0.04938277748653788,
1.4873912057120486,
0.03523257010722217,
1.458342218814927,
-0.0335620951352402,
1.3666802619043346,
0.18818147455338413,... | {
"n_parameters": 53,
"n_qubits": 11,
"optimal_eigenvalue": -6.6666666666666705,
"target_ratio": 0.97,
"target_value": -6.46666666666667
} | 15 |
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