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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
6aecb2db5a17939aba5a720d201b5cc2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [190, 188], "expectation_value": -2.554967128239237, "params": [-0.0033, 0.923, 1.3946, 0.40440000000000004, -0.0119, 0.9048, 1.2990000000000002, 0.4887, 1.4047, 0.0058000000000000005, 1.3954, -0.3085, 1.3803, -0.23650000000000002, 0.8684000000000001, 0.9557, -0.0039000000000000003, 1.0506, -0.0033, 0.003100... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(2) @ Z(5)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(7) @ Z(1)) + 0.125 * (Z(6) @ Z(5)) + 0.125 * (Z(7) @ Z(5)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (... | 16 | 9 | 2 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.125, "smallest_bitstrings": ["101000101", "101000011", "010110010", "010110001", "101100010", "100110010", "100101010", "100101001",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.0715542582198722) q[0];
rz(1.0083772859403712) q[0];
rx(1.6769015622502992) q[1];
rz(0.2650261056729445) q[1];
cx q[1], q[0];
rz(-0.36671500312583316) q[0];
cx q[1], q[0];
rx(0.0715542582198722) q[0];
rz(0.3120407516130417) q[0];
rz(-0.5370950262900875) q[1];
rx(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIZIIZII",
"IIIZZIIII",
"IIIZZIZII",
"IIIZIIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZZIIIII",
"IZIZIIIII",
"IZZIIIIII",
"IIZZIIIZI",
"IZIZIIIZI",
"IZZIIIIZI",
"IZZZIIIII",
"IZZZIIIZI",
"IIZIIZIII",
"ZIIIIZIII",
"ZIZIIIIII",
"... | [
0.5,
0.5,
0.5,
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,
0.5,
-0.5,
-0.125,
-0.25,
-0.25,
-0.25,
0.125,
0.125,
-0.125,
-0.25
] | 0.973081 | [
0.07155425821987221,
0.641662282814538,
1.6769015622502992,
0.2650261056729445,
0.04584717393132173,
0.8409963385638537,
1.5034072014654243,
0.5413479186498418,
1.6128564837138002,
-0.11806954381667668,
1.250784928120108,
-0.12875851685508372,
1.5487426856542852,
0.012000950553302692,
0.... | {
"n_parameters": 50,
"n_qubits": 9,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 14 |
fbeca3287c88ac656e8f44e35837a20d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [110, 109], "expectation_value": -13.52750900640331, "params": [[0.029400000000000003, -0.0714], [-0.062, 0.060200000000000004]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.009471364109541743, 0.009831817691592012], "optimization_time": 2.90290904045105} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(2) @ Z(5)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 5.5 * Z(1) + 1.5 * Z(0) + 19.0 * Z(4) + 14.5 * Z(5) + 14.5 * Z(2) + 6.0 * Z(3)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-59.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -51.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 117.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.4621200799157078) q[0];
rz(2.5310802994442465) q[0];
rx(1.0371216398864838) q[1];
rz(1.2936490653800785) q[1];
rx(1.5502854236584591) q[2];
rz(1.6255839899431388) q[2];
rx(2.0270665855362484) q[3];
rz(2.37946354203517) q[3];
rx(1.626482565654) q[4];
rz(1.4004363227... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIZI",
"IIZZIIII",
"IIIIIZIZ",
"IIIZIZII",
"IIZIIZII",
"IIIZZIII",
"IIZIZIII",
"IIIIZZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IIIIIZII",
"IIIIZIII",
"ZIIIIIII",
"IZIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
5.5,
1.5,
19,
14.5,
14.5,
6,
7.5,
-1
] | 0.977034 | [
0.4621200799157078,
0.9602839726493494,
1.0371216398864838,
-0.2771472614148176,
1.5502854236584591,
0.05478766314824232,
2.0270665855362484,
0.8086672152402733,
1.626482565654,
-0.17036000403937762,
1.5389205452174688,
0.023243864098932004,
0.6780255439029278,
-0.006324178265194772,
1.9... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -59,
"target_ratio": 0.97,
"target_value": -57.23
} | 18 |
2353079fa286d356ce3844ef645b5899 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 1, "source": 2, ... | {"states": [5, 1], "expectation_value": -6.7499854908656385, "params": null, "bitstrings": ["11111010", "11111110"], "total_optimization_steps": 22, "probabilities": [1.2625284362786262e-05, 0.999985546168183], "optimization_time": 25.52250909805298} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(2)) + 0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000000", "11111110", "10001000"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.014476605054925226) q[0];
ry(-0.08302690308798039) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5021299714943626) q[2];
ry(-0.20507589807993404) q[3];
rz(-pi) q[3];
ry(-0.0064225517544533916) q[4];
rz(-pi) q[4];
ry(-0.007758952866561823) q[5];
rz(-pi) q[5];
ry(... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIZIIIZ",
"IIIIIZZI",
"ZIIIIIIZ",
"ZIIIIIZI",
"IZIZIIII",
"IZIIIZII",
"IZIIIIZI",
"ZZIIIIII",
"IIIZZIII",
"IIIIZZII",
"IIIIZIZI",
"IZIIZIII",
"IIZZIIII",
"IIZIIZII",
"IZZIIIII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"ZIIIIIII",
"IZIIIIII",
"IIIIZIII",
"IIZIIII... | [
-0.5,
-0.5,
0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
-0.5,
-1,
-0.25,
-1.5,
-0.25,
0.25,
0.5,
1,
1.25
] | 0.996058 | [
-1.5021299714943626,
-1.527893052920365,
-1.541794211553103,
1.640141240938177,
-1.440851768577839,
-1.2949408354430672,
-1.5107160653792404,
-0.09383531025815497,
-0.1415591865437907,
-0.24437121070099205,
-0.08695744059343821,
-0.07296144424015699,
-0.059381324036815154
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 1 |
daa025a90e4398677fe5b0d273c8f8d1 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "... | {"states": [3836, 3839], "expectation_value": -13.119086965350348, "params": [-1.4609, -1.238, -0.0903, 0.1763, 0.0037, -0.0002, 0.0032, 0.0023, 1.7155, 1.4321000000000002, -0.046, 0.033800000000000004, 1.6146, 1.5202, -1.6612, 1.6373, 0.9026000000000001, 0.9102, 0.018600000000000002, -0.041600000000000005, 0.014, -0.0... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(4) @ Z(5)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + -2.0 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + -1.5 * (Z(10) @ Z(11)) + 0.5 * Z(2) + 0.5 * Z(... | 14 | 12 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["000100000000"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-1.6557502082605464) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.20258994511258374) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.20258994511258388) q[2];
rx(-0.8399461939743009) q[2];
rz(0.2856205403006215) q[3];
cx q[0], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIIZZ",
"IIIIIIZZIIII",
"IIIIZIZIIIII",
"IIIIZIIZIIII",
"IIIIIZZIIIII",
"IIIIZZIIIIII",
"IIZZIIIIIIII",
"ZIZIIIIIIIII",
"ZIIZIIIIIIII",
"IZZIIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIZII",
"IIIIIIIIIIIZ",
"IIIIIIIIIIZI",
"IIIIIIZIIIII",
"IIIIIIIZI... | [
-1.5,
-1.5,
0.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.534473 | [
-1.6557502082605464,
0.20258994511258374,
0.2856205403006215,
-1.0376352151818682,
-0.809409131107178,
-0.8399461939743007
] | {
"n_parameters": 6,
"n_qubits": 12,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 171 |
b2c25a19a038d07471a5450910ba4971 | edge_cover | 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": [7, 3], "expectation_value": -1.7562152708285927, "params": [[[-0.0009000000000000001, 0.6018], [-0.004, 0.46440000000000003], [0.5016, 0.18810000000000002], [0.8213, 0.0014], [0.7932, 0.002]], [[-0.0033, 0.6618], [-0.0024000000000000002, 0.4681], [0.5032, 0.18810000000000002], [0.8172, 0.0014], [0.7899, 0.0... | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -1.0 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.25, "smallest_bitstrings": ["11100", "11010", "11001", "10101"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.016234704253647998) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-0.010386543699948906) q[1];
h q[2];
h q[3];
ry(1.1585700450953158) q[3];
h q[4];
ry(-0.5085847075913551) q[4];
cx q[2], q[4];
ry(0.5085847075913551) q[4];
cx q[2], q[4];
ry(-0.2519288651435193) q[4];
cx q[3... | OPENQASM 3.0;
include "stdgates.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": []} | [
"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 |
4700601e722e5f0a0c40acc2968ffc97 | kclique | 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": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [1, 3], "expectation_value": -4.241719782932726, "params": [[[0.1917, 0.1993], [0.1884, -0.20170000000000002], [0.1893, -0.2015], [0.6002000000000001, 0.0015], [0.6076, 0.0002]], [[0.18710000000000002, 0.19920000000000002], [0.1928, -0.20170000000000002], [0.1908, -0.20140000000000002], [0.5961000000000001, ... | 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)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.75 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "01110"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6706529503752435) q[0];
h q[1];
ry(1.4146339409758935) q[1];
h q[2];
ry(-0.5581047246583587) q[2];
h q[3];
cx q[3], q[0];
ry(0.6706529503752435) q[0];
cx q[3], q[0];
ry(-0.44205081723318096) q[0];
ry(0.9054299760275487) q[3];
rz(-pi) q[4];
ry(-0.0725877717... | OPENQASM 3.0;
include "stdgates.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": []} | [
"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,
2,
1.75,
2,
2,
-2.75,
-2.75,
-2.75,
-2.5,
-2.25
] | 0.991225 | [
-1.6704548362417395,
-1.341305900750487,
1.4146339409758935,
0.973194262912994,
-1.1162094493167174,
0.6844911620078096,
-0.48532124205514987,
0.5740763702252564,
0.27498873776268346,
-0.23622283509959657,
0.44187762803947833,
-0.4116559642671688,
0.5069271119789323,
-0.18155338475627356,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
6543813039405531469 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 2, 4], [8, 1], [9, 3, 5, 7], [2, 5], [1, 3, 6, 9], [9, 2, 3, 4], [8, 3, 4], [2, 6], [0, 8, 2]]} | {"states": [997, 965], "expectation_value": -2.344035476011858, "params": [1.3889, 0.0292, 0.389, 0.0034000000000000002, 1.3909, 0.0458, 0.7488, 0.006, 1.389, 0.0584, 1.3809, 0.00030000000000000003, 1.3991, 0.0644, 1.3164, 0.0097, 1.1709, -0.3214, 0.8516, 0.0095, 1.1566, 0.0391, 0.2114, 0.0, 1.1881000000000002, 0.03360... | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(4)) + 0.08333333333333333 * (Z(9) @ Z(2)) + 0.08333333333333333 * (Z(9) @ Z(1)) + 0.08333333333333333 * (Z(9) @ Z(4)) + 0.0833333... | 6 | 10 | 1 | {"smallest_eigenvalues": [-2.916666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333333, "smallest_bitstrings": ["0000111010"], "largest_eigenvalue": 7.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(2.273500893242082) q[0];
rz(1.7822199569855401) q[0];
rx(2.083308350531528) q[1];
rz(1.6015450115204795) q[1];
rx(1.442986746727582) q[2];
rz(1.5552925362828995) q[2];
rx(2.3430924363501306) q[3];
rz(1.6279785432844145) q[3];
rx(1.1371141079633622) q[4];
rz(1.896879... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIZIZII",
"IIIIIZIIZI",
"IZIIIIIZII",
"IZIIIIIIZI",
"IZIIIZIIII",
"ZIIIIIIZII",
"ZIIIIIIIZI",
"ZIIIIZIIII",
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIIIZZIII",
"IZIIIIZIII",
"ZIIIIIZIII",
"IIIIZIIZII",
"ZIIIZIIIII",
"IIIIZIZIII",
"ZIZIIIIIII",
"IIZIIIZIII",
"IIZIZIIIII"... | [
0.16666666666666666,
0.25,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.25,
0.16666666666666666,
0.25,
0.5,
0.08333333333333333,
0.08333333333333333,
0.... | 0.970102 | [
2.273500893242082,
0.21142363019064359,
2.0833083505315275,
0.030748684725582565,
1.4429867467275819,
-0.015503790511997045,
2.3430924363501306,
0.05718221648951827,
1.1371141079633622,
0.32608300279296376,
0.6978901728398949,
-0.133821724739441,
1.3610475922234022,
-0.013208404519949589,
... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -2.916666666666666,
"target_ratio": 0.97,
"target_value": -2.829166666666666
} | 217 |
1dcb3c744ddd55658248ce3c7196418c | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}]} | {"states": [52859, 56955], "expectation_value": -16.216709007479057, "params": [0.7903, 0.0051, 0.7858, 0.09230000000000001, 0.3811, 0.20170000000000002, 0.4055, 0.19690000000000002, 0.788, 0.0012000000000000001, 0.7238, 0.08270000000000001, 0.6598, 0.2011, 0.38380000000000003, 0.1935, 0.38580000000000003, -0.1648, 0.5... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7... | 18 | 16 | 4 | {"smallest_eigenvalues": [-19.999999999999897], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999854, "smallest_bitstrings": ["0010000110000100"], "largest_eigenvalue": 68.0000000000003} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(1.0652804248318555) q[0];
rz(-0.4790339043757319) q[0];
rx(0.9745577300577288) q[1];
rz(0.29346053770470665) q[1];
rx(0.0157130110860835) q[2];
rz(0.618448567596635) q[2];
rx(1.0308831125161482) q[3];
rz(0.23627299479722735) q[3];
rx(1.1756644845217723) q[4];
rz(0.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIZI",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIIIIIZ",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
... | 0.970132 | [
1.0652804248318557,
-0.3214709232980808,
0.9745577300577288,
0.29346053770470665,
0.0157130110860835,
0.618448567596635,
1.0308831125161482,
0.23627299479722735,
1.1756644845217723,
0.3067858491711559,
1.00009586838585,
-0.016079870551915385,
1.0041750502695932,
-0.3884080547291887,
0.19... | {
"n_parameters": 137,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999897,
"target_ratio": 0.97,
"target_value": -19.3999999999999
} | 19 |
2516a2390c15857d60c9b0fe40f23a00 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 4, "source": 1, "target": 4}, {"capacity": 4, "source": 2, "target": 4}, {"capacity": 3, "so... | {"states": [11, 9], "expectation_value": -5.749999999986026, "params": null, "bitstrings": ["10100", "10110"], "total_optimization_steps": 17, "probabilities": [0.49999999999767164, 0.49999999999767164], "optimization_time": 8.70854139328003} | -1.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + 1.75 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 1.25 * Z(1) + -0.25 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.75, "smallest_bitstrings": ["10100", "10110"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-1.5890800937377858) q[0];
rz(-pi) q[1];
ry(-3.1155327368841115) q[1];
rz(-pi) q[2];
ry(-0.04137361749157337) q[2];
h q[3];
h q[4];
ry(1.642088873374983) q[4];
cx q[4], q[2];
ry(0.05197446119306805) q[2];
cx q[4], q[2];
cx q[4], q[1];
ry(0.06805220409940113) ... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.5706) 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] ... | [
"IIZIZ",
"IZZII",
"IZIZI",
"ZIZII",
"ZIIIZ",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
-1.5,
-0.75,
-0.25,
-1,
1.75,
-1,
-1.25,
-0.25,
0.5,
1.25,
-0.25
] | 0.997568 | [
1.6649084475999796,
-1.560195483093402,
-1.5890800937377858,
1.642088873374983,
-0.1039489223861361,
-0.13610440819880226
] | {
"n_parameters": 6,
"n_qubits": 5,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 1 |
9d0fda9991561362ccfc12e66c38b9f5 | 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": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [35, 52], "expectation_value": -0.49145187477498653, "params": [[0.066, 0.0776], [-0.0476, -0.0694]], "bitstrings": ["011100", "001011"], "total_optimization_steps": 10, "probabilities": [0.02070996108422231, 0.020709961084222316], "optimization_time": 3.247469902038574} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(2) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(5) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "011100", "001011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.05915602651802649) q[0];
rz(-0.15469163530750052) q[0];
rx(3.4191362901712914) q[1];
rz(0.45246714787639103) q[1];
rx(0.17983961904902268) q[2];
rz(-0.05096309531274679) q[2];
rx(3.0050058723652) q[3];
rz(1.0763901855253808) q[3];
rx(3.085973281590634) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIIZZI",
"ZIIZII",
"ZIIIZI",
"IIZZII",
"ZIZIII",
"IZIZII",
"IZZIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-0.5,
-1,
-1,
-0.5
] | 0.971457 | [
-0.05915602651802648,
-0.1292100876511263,
3.4191362901712914,
0.45246714787639103,
0.17983961904902268,
-0.05096309531274679,
3.0050058723652,
1.0763901855253808,
3.085973281590634,
0.20126058805128294,
3.3609533359992207,
0.3973179116121901,
0.08371651178469919,
-0.042244168201899246,
... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 21 |
a5f43532e1723f6087760e0dbad85b40 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 6}, {"weight": 13, "source": 1, "target": 4}, {"weight": 18, "source": 1, "tar... | {"states": [237, 234], "expectation_value": -23.813478730825828, "params": [[-0.0007, 0.0176, 0.0134, -0.0007], [-0.0036000000000000003, -0.042800000000000005, -0.059000000000000004, -0.0393]], "bitstrings": ["100010010", "100010101"], "total_optimization_steps": 10, "probabilities": [0.005548540868477739, 0.0062444612... | 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(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-87.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 193.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.06902538762803077) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.06902538762803077) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.06902538762803077) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.06902538762803077) q[2];
cx q[0], q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIZII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14.5,
6,
22.5,
20,
14.5,
-1.5,
8.5,
23.5,
8.5
] | 0.971024 | [
0.06902538762803077,
-1.3393452961497425,
0.8885669704223492,
-1.684941583646161,
-1.4324485039798671,
0.7894781332301564,
1.2549217022731878,
-1.8131259633031465,
1.439858056165493,
-0.5950565895064822,
-0.8478317544031627,
-0.18499509550347304,
-0.3500606076077326,
-1.0914618775797964,
... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -87,
"target_ratio": 0.97,
"target_value": -84.39
} | 65 |
4654484737765472205 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4], [1, 3, 4, 6], [0, 3, 4, 7], [0, 2, 3, 6, 7], [3, 4, 5, 7], [2, 5], [3, 4, 5, 6]]} | {"states": [143, 207], "expectation_value": -0.6289985077364528, "params": [[0.276], [-0.2743]], "bitstrings": ["01110000", "00110000"], "total_optimization_steps": 30, "probabilities": [0.008262218320613818, 0.008307516719071841], "optimization_time": 3.300828218460083} | 0.5 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(3) @ Z(4)) + 0.05 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.05 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.2], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.116666666666667, "smallest_bitstrings": ["00110000"], "largest_eigenvalue": 6.000000000000002} | 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[2];
rz(0.5417405582926322) q[2];
cx q[4], q[2];
cx q[4], q[1];
rz(0.0030724407483705626) q[1];
cx q[4], q[1];
cx q[4], q[3];
rz(0.07226150246343463) q[3];
cx q[4], q[3];
cx q[2], q[3];
rz(-0.00048461808960245206) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIZIZII",
"IIIZIIZI",
"IIIZZIII",
"IIIIZZII",
"IIIIZIZI",
"IZIZIIII",
"IZIIIZII",
"IZIIIIZI",
"IZIIZIII",
"IIIZIIIZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IZIIIIIZ",
"ZIIZIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZZIIIIII",
"ZIIIIIIZ",
"IIZZIIII",
"IIZIIZII",
"IIZIZIII",
"IZZIIIII",
"ZIZIIII... | [
0.5,
0.08333333333333333,
0.3333333333333333,
0.05,
0.08333333333333333,
0.16666666666666666,
0.05,
0.08333333333333333,
0.21666666666666667,
0.08333333333333333,
0.05,
0.13333333333333333,
0.05,
0.16666666666666666,
0.05,
0.21666666666666667,
0.05,
0.13333333333333333,
0.1666666... | 0.791975 | [
0.5417405582926322,
0.0030724407483705626,
0.07226150246343463,
-0.00048461808960245206,
0.006119484467823937,
0.0012111248650151986,
0.0001255499722953774,
-1.5056960105291894,
1.5701092860052168,
-1.5624823425095062,
1.5701909660666011,
1.5705886299080933,
1.5921390784682226,
-1.47245623... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -2.2,
"target_ratio": 0.97,
"target_value": -2.134
} | 341 |
4826e7b7b380a242f0105a650c886ca5 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [48, 49], "expectation_value": -4.452741783199633, "params": [0.1401, -0.0027, 1.599, -0.0028, 1.5983, -0.0028, 1.6014000000000002, -0.0031000000000000003, 1.3554000000000002, -0.0035, 0.3047, -0.3798, -0.0021000000000000003, 0.2313, 1.6125, 0.0097, 1.5977000000000001, -1.5853000000000002, 1.5729, -1.5814000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + -1.0 * Z(2) + -1.5 * Z(0) + -1.0 *... | 4 | 8 | 1 | {"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": ["00111110", "10101110", "11010110", "11001011", "11001110", "01110110", "11110100"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.10092926181866038) q[0];
rz(1.9837303386122827) q[0];
rx(1.6760425480868124) q[1];
rz(1.432791471645369) q[1];
rx(1.8022299234324597) q[2];
rz(1.432791471645369) q[2];
rx(2.825477791711602) q[3];
rz(1.5360005007002266) q[3];
rx(0.2961860498883355) q[4];
rz(1.557793... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZIIZ",
"IIZIIIIZ",
"IZIIIZII",
"IZIIIIIZ",
"IZIIZIII",
"IIIIIZZI",
"IIZIIIZI",
"IZIIIIZI",
"IIIZZIII",
"IIZZIIII",
"IIIZIIZI",
"ZIZIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIIZI",
"IIIZIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-1,
-1.5,
-1.5,
-1.5,
-1,
0
] | 0.978402 | [
0.10092926181866038,
0.41293401181738576,
1.6760425480868124,
-0.1380048551495277,
1.8022299234324595,
2.825477791711602,
-0.03479582609466993,
0.2961860498883355,
-0.01300272485473053,
-0.19247307343857703,
0.0720726785079378,
0.15719275965915153,
0.8535859840387424,
3.337731089678834,
... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 16 |
4774e3e9bff083e8c596e191efb212f5 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [114, 83], "expectation_value": -3.9991448163528496, "params": null, "bitstrings": ["0001101", "0101100"], "total_optimization_steps": 34, "probabilities": [0.06552908695299581, 0.9338662276321303], "optimization_time": 31.558659315109253} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(6) + 0.0 * Z(1) + -0.5 * Z(2) + -1.0 * Z(3) + -0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0001101", "0101100"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.05144027602921499) q[0];
rz(-0.633646882601123) q[0];
rx(-0.0024804407851094115) q[1];
rz(0.6892744924000755) q[1];
rx(0.08365365082144713) q[2];
rz(1.13457283684229) q[2];
rx(1.4648354273348037) q[3];
rz(0.4461302464749024) q[3];
rx(-0.27298286778384845) q[4];
rz(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIZIIIZ",
"ZIIIIZI",
"IIZIZII",
"ZIIZIII",
"IIIZZII",
"IZZIIII",
"IZIZIII",
"IIZIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-0.5,
0,
-0.5,
-1,
-0.5
] | 0.980371 | [
0.051440276029215,
-0.3025585059328266,
-0.002480440785109412,
1.1848639060780362,
0.08365365082144713,
0.5296914195656056,
1.4648354273348039,
0.3738380779636798,
-0.2729828677838484,
-0.351154508518934,
1.7437105114695473,
-0.0752921498709388,
1.6806354720762,
0.26290747257993824,
0.10... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 32 |
a1d30927e8d1c8c726712f7d85b25667 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 3, "target": 7}, {"capacity": 1, "source": 4, ... | {"states": [127, 95], "expectation_value": -7.602146008888257, "params": null, "bitstrings": ["10000000", "10100000"], "total_optimization_steps": 58, "probabilities": [0.2143241896166521, 0.21435663823199338], "optimization_time": 67.03484797477722} | -1.0 * (Z(0) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -1.0 * (Z(7) @ Z(3)) + 1.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(6)) + -0.25 * (Z(2) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * Z(3) + -0.25 * Z(0) + 1.5 * Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -6.75, "smallest_bitstrings": ["10100000", "10010000", "10000000", "10110000", "10111000"], "largest_eigenvalue": 13.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7388502636479408) q[0];
h q[1];
ry(0.8364853737259059) q[1];
h q[2];
h q[3];
h q[4];
ry(0.787806496993027) q[4];
h q[5];
ry(1.5530979908529392) q[5];
h q[6];
ry(1.5530979908529392) q[6];
cx q[6], q[1];
ry(-0.8364853737259059) q[1];
cx q[6], q[1];
h q[7];
c... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIZIIZ",
"IZIIIIZI",
"ZIIIZIII",
"ZIIIIIIZ",
"ZZIIIIII",
"IIIZZIII",
"IZIZIIII",
"IIIZIZII",
"IIZIZIII",
"IZZIIIII",
"IIZIIIZI",
"ZIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIZIIII",
"IIIIIZII",
"IIZIIIII"
] | [
-1,
-1.75,
-1,
1.25,
-0.75,
-0.25,
-0.75,
-0.25,
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
1.5,
-1.5,
-1,
-0.25,
-0.25,
2.25
] | 0.972173 | [
1.5530979908529392,
1.6729707474518118,
-1.4777005272958816,
1.0428584261011464,
-0.5387470518195514,
1.575612993986054,
0.2895910452877033,
-0.14095535837536688,
0.12654572147272122,
0.0819225196994189,
0.10364277040264942,
0.26808859046062694,
-0.06220001776916481,
-0.12253649147198077,
... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 1 |
d2e3f71e5c020057da0dd1812bdf6517 | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 20, "source": 0, "target": 2}, {"weight": 6, "source": 1, "target": 2}, {"weight": 15, "source": 1, "target... | {"states": [3, 6], "expectation_value": -0.0217781296723481, "params": [0.392, 0.0531, 0.38870000000000005, 0.059500000000000004, 0.39380000000000004, 0.045200000000000004, 0.39380000000000004, 0.0476, 0.39790000000000003, 0.0533, 0.39590000000000003, 0.0604, 0.398, 0.0528, 0.3971, 0.0591, 0.3961, 0.0883, 0.395, 0.0072... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) | 5 | 4 | 2 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": 0.0, "smallest_bitstrings": ["1001", "0110"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.1661276350304126) q[0];
rz(0.1368317091350482) q[0];
ry(0.04120953092979138) q[1];
rz(0.6237278116787298) q[1];
cz q[1], q[0];
ry(0.8639209804903288) q[0];
rz(-0.20514548926058004) q[0];
ry(0.1701074616062198) q[1];
ry(0.11262869094573309) q[2];
rz(0.3181473576708... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[... | {"start_node": 0, "end_node": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZIZ",
"ZIZI",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0
] | 0.975208 | [
1.1661276350304126,
0.1368317091350482,
0.04120953092979138,
0.6237278116787298,
0.11262869094573309,
0.3181473576708103,
0.734978694415438,
-0.2651028550205645,
-0.11298443044296277,
-0.5003240831397697,
0.31670140934387114,
0.2559084340847741,
0.0720191758938528,
0.2177008887266607,
0.... | {
"n_parameters": 181,
"n_qubits": 16,
"optimal_eigenvalue": -13.999999999999932,
"target_ratio": 0.97,
"target_value": -13.579999999999934
} | 75 |
7711696590830028585 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 6], [1, 2, 3, 5], [0, 2, 3, 4, 7, 8], [0, 1, 3], [0, 1, 2, 7, 8], [8, 1, 5, 7], [8, 1, 3, 6], [0, 5], [0, 1, 4], [2, 6], [5, 6]]} | {"states": [250, 249], "expectation_value": -1.4302237987061155, "params": [[0.3612], [-0.3579]], "bitstrings": ["100000101", "100000110"], "total_optimization_steps": 40, "probabilities": [0.01037843166140775, 0.010425501669984271], "optimization_time": 5.7326414585113525} | 0.5 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.03333333333333333 * (Z(2) @ Z(4)) + 0.13333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(6)) + 0.03333333333333333 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.116666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.5666666666666673], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.4833333333333334, "smallest_bitstrings": ["100000110"], "largest_eigenvalue": 8.999999999999998} | 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[4];
rz(0.015614569142959337) q[4];
cx q[6], q[4];
cx q[6], q[1];
rz(-3.5455692366807305e-08) q[1];
cx q[6], q[1];
cx q[4], q[1];
rz(1.4009569384579513e-08) q[1];
cx q[4], q[1];
cx q[6], q[2];
rz(0.015614... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIZIZIIII",
"IIZIIIIZI",
"IIIIZIIZI",
"IIZIIIZII",
"IIIIZIZII",
"IIIIIIZZI",
"IIZIIZIII",
"IIIIZZIII",
"IIIIIZIZI",
"IIIIIZZII",
"IIZZIIIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IIIIZIIIZ",
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIZIIIIZ",
"IZIIZIIII",
"IZIIIIIZI",
"... | [
0.5,
0.08333333333333333,
0.16666666666666666,
0.5,
0.03333333333333333,
0.13333333333333333,
0.08333333333333333,
0.03333333333333333,
0.3333333333333333,
0.11666666666666667,
0.5,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.19999999999999998,
0.3833333333333333,
... | 0.902015 | [
0.015614569142959337,
-3.5455692366807305e-8,
1.4009569384579513e-8,
2.397198119866173e-8,
-3.3845537959087285e-9,
2.0577647344699718e-8,
3.8983469244058653e-8,
6.174530452577343e-9,
9.65376040405988e-9,
2.1089120989954586e-8,
-1.5707962708218024,
1.5707963370418803,
1.570796220051666,
1.5... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -3.5666666666666673,
"target_ratio": 0.97,
"target_value": -3.459666666666667
} | 430 |
478347d0649638bba313bef5d45c4851 | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [72, 36], "expectation_value": -2.484480505219392, "params": [[-0.1116, -0.1565], [0.06720000000000001, 0.155]], "bitstrings": ["0110111", "1011011"], "total_optimization_steps": 20, "probabilities": [0.019761110497437312, 0.02147296606764739], "optimization_time": 3.722242593765259} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.0 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["0111101", "1011011", "1111010", "1111001", "1110110", "0101111", "0110111", "1101110"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.19473427908825972) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.19473427908825972) q[4];
cx q[0], q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(-0.19473427908825972) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIIIZZI",
"IIZIZII",
"IIIZIZI",
"IIZZIII",
"IIIZZII",
"IZIIIZI",
"ZZIIIII",
"IZIIZII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-1,
-1,
-1.5,
-1.5,
-1.5
] | 0.886571 | [
-0.19473427908825972,
1.136917865121911,
0.5310912698869844,
0.8775471306091145,
1.0363284716041778,
-0.9981925067797313,
2.946077734973025,
1.3732921212545732,
2.2890429782392525,
0.417474212986674
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 286 |
055ec1cbd3fcd26df12ce4edca6b4419 | 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": [534, 598], "expectation_value": -80.59888775586293, "params": [[[-0.2659, -0.0029000000000000002], [0.3577, -0.0019], [0.014, 0.0012000000000000001], [0.8430000000000001, 0.001], [0.1855, -0.0037], [1.5453000000000001, 0.3618], [-0.0005, 0.3629], [1.5679, 0.0033], [1.6403, 0.001], [0.9454, 0.436600000000000... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(5) @ Z(1)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(9) @ Z(7)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(8) @ Z(9)) + 2.5 * Z(0) + 9.0 * Z(1) + -3.5 * Z(4) + -1.0 * Z(3) + 12.5 * Z(5) + 1.0 * Z(6) + 23.5 * Z(7) + 3.5 *... | 15 | 10 | 2 | {"smallest_eigenvalues": [-94.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -89.5, "smallest_bitstrings": ["0110101001"], "largest_eigenvalue": 151.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.7353378765262611) q[0];
ry(0.34809624611455264) q[1];
ry(0.23771845957150506) q[2];
ry(1.5559957471145243) q[3];
ry(0.6740441009869864) q[4];
ry(1.4578617282368729) q[5];
ry(-0.2922810979712418) q[6];
ry(1.7313723463219826) q[7];
ry(1.6822094613206626) q[8];
ry(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIIZIIIZI",
"IIIZZIIIII",
"IIZIIIIIZI",
"IIZIZIIIII",
"ZIZIIIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIIIIIZII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
2.5,
9,
-3.5,
-1,
12.5,
1,
23.5,
3.5,
15,
-10
] | 0.972668 | [
-0.7353378765262611,
0.34809624611455264,
0.23771845957150506,
1.5559957471145243,
0.6740441009869864,
1.4578617282368729,
-0.2922810979712418,
1.7313723463219826,
1.6822094613206626,
0.40844808221726553,
-0.004244791524718433,
-0.02222206689470818,
0.06071169324284098,
-0.0502220062183212... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -94.5,
"target_ratio": 0.97,
"target_value": -91.66499999999999
} | 42 |
-5724489248087678332 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 2, 5, 6], [0, 2, 3, 6, 7, 8], [1, 2, 3, 5], [8, 4, 6], [0, 4], [8, 3, 4, 5], [8, 1, 5, 7], [1, 3, 4, 5, 7]]} | {"states": [115, 429], "expectation_value": -0.649577224778227, "params": [[-0.251], [0.26030000000000003]], "bitstrings": ["110001100", "001010010"], "total_optimization_steps": 30, "probabilities": [0.003795522277316961, 0.003815082678970972], "optimization_time": 5.416090726852417} | 0.11666666666666667 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(8)) + 0.11666666666666667 * (Z(6) @ Z(2)) + 0.2833333333333333 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.03333333333333333 * (Z(0) @ Z(2)) + 0.03333333333333333 * (Z(0) @ Z(8)) + 0.03333333333333333 * (Z(0) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.233333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.15, "smallest_bitstrings": ["001010010"], "largest_eigenvalue": 7.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[8];
rz(-0.0479750131574765) q[8];
cx q[2], q[8];
cx q[2], q[5];
rz(-0.24417982723171738) q[5];
cx q[2], q[5];
cx q[2], q[6];
rz(-0.0479750131574765) q[6];
cx q[2], q[6];
cx q[2], q[0];
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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZII",
"IIIZIIZII",
"ZIIZIIIII",
"IIZIIIZII",
"ZIZIIIIII",
"IIZZIIIII",
"IIIIIIZIZ",
"ZIIIIIIIZ",
"IIZIIIIIZ",
"IIIIIZZII",
"ZIIIIZIII",
"IIIZIZIII",
"IIZIIZIII",
"IIIIIZIIZ",
"IZIIIIZII",
"ZZIIIIIII",
"IZIZIIIII",
"IZZIIIIII",
"IZIIIIIIZ",
"IZIIIZIII",
"IIIIIIZZI",
"... | [
0.11666666666666667,
0.16666666666666666,
0.25,
0.11666666666666667,
0.2833333333333333,
0.08333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.11666666666666667,
0.11666666666666667,
0.21666666666666667,
0.03333333333333333,
0.03333333333333333,
0.03333333... | 0.771524 | [
-0.0479750131574765,
-0.24417982723171738,
-0.15282359047878558,
-0.24647394509298706,
-0.0427369932817936,
0.11197880891359245,
-0.4626038341199591,
-0.0625376650758735,
-1.5172211388297303,
-0.055511356286304485,
-1.4384034732037074,
-1.2925165255174285,
1.0552129535577062,
-0.6295912679... | {
"n_parameters": 19,
"n_qubits": 9,
"optimal_eigenvalue": -2.233333333333333,
"target_ratio": 0.97,
"target_value": -2.1663333333333328
} | 456 |
6172ec2f30329f156b64312801e66ef4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 6... | {"states": [39, 47], "expectation_value": -7.209849215427568, "params": null, "bitstrings": ["1011000", "1010000"], "total_optimization_steps": 43, "probabilities": [0.42743550266038083, 0.4274887006346332], "optimization_time": 35.67273306846619} | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -0.25 * Z(0) + 1.75 * Z(1) + -1.5 * Z(3) + -0.25 * Z(6) + 1.25 * Z(4) + 0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["1011010", "1011000", "1010000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.15321410223109672) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.15321410223109672) q[1];
cx q[2], q[1];
h q[3];
cx q[1], q[3];
rz(-0.003386663219578) q[3];
cx q[1], q[3];
h q[4];
h q[5];
cx q[3], q[5];
rz(-0.15321410223109672) q... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIZIZ",
"IIIIZZI",
"IIIZIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIIIZI",
"IIZIIZI",
"IZIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
-1.25,
-1.25,
-0.25,
-1,
1.5,
-0.75,
-0.5,
-1.25,
-0.75,
-1.5,
-0.25,
1.75,
-1.5,
-0.25,
1.25,
0.5
] | 0.80901 | [
-0.15321410223109672,
-0.003386663219578,
1.3792064432981384,
1.6536245255120825,
0.007415038342467658,
-0.00033579823225607776,
-0.04906685260021198,
1.5514059338137396,
1.57108267036554,
1.549966787492532,
-1.43906272514929
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 276 |
3ec8817ba1bcb1804df0115ee0df35b6 | 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": 4, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 2, "s... | {"states": [374, 119], "expectation_value": -11.779514639598354, "params": null, "bitstrings": ["010001001", "110001000"], "total_optimization_steps": 89, "probabilities": [0.12161547400736046, 0.7151847753538948], "optimization_time": 185.0617697238922} | -1.0 * (Z(0) @ Z(5)) + -1.0 * (Z(1) @ Z(5)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(3)) + -0.75 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(3)) + -1.0 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-12.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["110001000"], "largest_eigenvalue": 13.25} | 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(-0.027187091284998476) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(-0.027187091284998476) q[1];
cx q[5], q[1];
cx q[1], q[2];
rz(-0.06341510274909688) q[2];
cx q[1], q[2];
cx q[2], q[3];
rz(-0.0056371135829441... | 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(-1.57) 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] = me... | [
"IIIZIIIIZ",
"IIIZIIIZI",
"IIIIIIZZI",
"IIIIIZZII",
"IZIZIIIII",
"IZIIIIZII",
"IZIIIZIII",
"IIIZZIIII",
"IIIIZIIZI",
"IIIIZIZII",
"IIIIZZIII",
"IIZIIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"ZIIZIIIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"... | [
-1,
-1,
-0.75,
-0.25,
-0.5,
-0.5,
-0.75,
-0.75,
-0.5,
-0.25,
-1,
-1,
-0.25,
-1.75,
-0.75,
1.25,
-1,
-0.5,
-0.25,
-3.25,
1,
0.5,
0.25,
1.75,
1,
-0.5
] | 0.825002 | [
-0.027187091284998476,
-0.06341510274909688,
-0.005637113582944107,
0.03723817608711247,
-0.0006401888434776552,
-1.6422040038365866,
1.5865130748669085,
-1.5739496421420238,
-1.576170216315621,
-1.5745627791929728,
-1.5734189596691968,
1.395978898243742
] | {
"n_parameters": 12,
"n_qubits": 9,
"optimal_eigenvalue": -12.75,
"target_ratio": 0.97,
"target_value": -12.3675
} | 280 |
-8691934383440403723 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 2, 4, 7, 11], [2, 11, 5, 7], [1, 2, 4, 5], [9, 11, 5, 7], [1, 10, 11], [0, 3, 6], [9, 1], [0, 10, 3, 4], [10, 3, 5], [8, 11]]} | {"states": [3409, 3537], "expectation_value": -3.117049715889224, "params": [[[3.1390000000000002, 0.007200000000000001], [3.1444, 0.0017000000000000001], [0.12380000000000001, 0.0067], [3.1388000000000003, 0.0089], [1.6643000000000001, 0.0066], [3.1444, 0.0083], [0.1761, 0.0053], [3.1444, 0.0071], [0.0025, 0.007500000... | 0.05 * (Z(0) @ Z(2)) + 0.13333333333333333 * (Z(4) @ Z(2)) + 0.13333333333333333 * (Z(4) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(4)) + 0.13333333333333333 * (Z(11) @ Z(2)) + 0.05 * (Z(11) @ Z(0)) + 0.05 * (Z(11) @ Z(4)) + 0.21666666666666667 * (Z(11) @ Z(7)) + 0.166666666... | 1 | 12 | 1 | {"smallest_eigenvalues": [-3.1999999999999997, -3.1999999999999997], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.1166666666666676, "smallest_bitstrings": ["001000101110", "010100011000"], "largest_eigenvalue": 9.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(3.1623828098788076) q[0];
rz(0.003388208308749328) q[0];
rx(3.1605599325058056) q[1];
rz(0.08491740131585669) q[1];
rx(0.076606041773734) q[2];
rz(0.017438334480830393) q[2];
rx(2.949812113667149) q[3];
rz(0.036390451115475536) q[3];
rx(1.8134614195603687) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZ",
"IIIIIIIZIZII",
"IIIIIIIZIIIZ",
"IIIIZIIIIZII",
"IIIIZIIIIIIZ",
"IIIIZIIZIIII",
"ZIIIIIIIIZII",
"ZIIIIIIIIIIZ",
"ZIIIIIIZIIII",
"ZIIIZIIIIIII",
"IIIIIIZIIZII",
"IIIIIIZZIIII",
"IIIIZIZIIIII",
"ZIIIIIZIIIII",
"IIIIIIIIIZZI",
"IIIIIIIZIIZI",
"ZIIIIIIIIIZI",
"IIIIIIZII... | [
0.05,
0.13333333333333333,
0.13333333333333333,
0.13333333333333333,
0.05,
0.05,
0.13333333333333333,
0.05,
0.05,
0.21666666666666667,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
... | 0.975709 | [
3.1623828098788076,
0.003388208308749328,
3.1605599325058056,
0.08491740131585669,
0.076606041773734,
0.017438334480830393,
2.949812113667149,
0.036390451115475536,
1.8134614195603687,
0.19616589885404917,
-0.06695315222283163,
0.10385247949731063,
-0.023661412560641533,
-0.028835680827329... | {
"n_parameters": 22,
"n_qubits": 12,
"optimal_eigenvalue": -3.1999999999999997,
"target_ratio": 0.97,
"target_value": -3.1039999999999996
} | 1 |
95b1142ae8d79cc944e68dc71d440182 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [9, 15], "expectation_value": -6.370397575480722, "params": null, "bitstrings": ["110110", "110000"], "total_optimization_steps": 34, "probabilities": [0.07917139809195542, 0.8343795242741813], "optimization_time": 23.251866579055786} | -0.75 * (Z(0) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(1) @ Z(3)) + -2.75 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 0.25 * Z(3) + -0.25 * Z(0) + 0.25 * Z(5) + -0.25 * Z(2) + -1.25 * Z(1) + 1.25 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000", "111110", "110000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.7452102939404112) q[0];
ry(-0.29282599220256483) q[1];
rz(-pi) q[1];
h q[2];
ry(0.7800172314783907) q[2];
h q[3];
h q[4];
ry(0.8044577856235101) q[4];
cx q[3], q[4];
ry(-0.8044577856235101) q[4];
cx q[3], q[4];
ry(1.2080582990283706) q[3];
ry(0.48108184132... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5708) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... | [
"IIZIIZ",
"ZIIIIZ",
"ZIIZII",
"IIZIZI",
"IZZIII",
"IZIZII",
"IZIIZI",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IIIIZI",
"IZIIII"
] | [
-0.75,
1,
-0.75,
-0.75,
-2.75,
-1,
-0.5,
0.25,
-0.25,
0.25,
-0.25,
-1.25,
1.25
] | 0.974145 | [
1.6089155712470202,
1.0304510352944072,
0.4810818413241434,
0.3552145274679267,
1.5600344629567815,
1.6286797946394622,
-1.4904205878808223,
-1.2881797724217239,
-0.016202039678616637,
0.011782440981039097,
0.020418875658783947,
0.006648626917140368,
-0.03701390813287764,
-0.02840884860849... | {
"n_parameters": 22,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 2 |
4048331465077465352 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[6, 7], [0, 8], [9, 5], [9, 1], [9, 10, 3], [1, 4, 6], [0, 3, 5], [3, 4, 7], [8, 5], [2, 3], [2, 4, 5], [2, 7], [8, 6], [8, 1], [8, 3], [8, 4], [1, 10, 4], [8, 10, 2], [8, 9], [2, 11]]} | {"states": [3836, 3832], "expectation_value": -0.8967427295115161, "params": [1.4013, 0.0038, 1.4054, 0.0033, 1.3975, 0.0029000000000000002, 1.4002000000000001, 0.003, 1.3907, 0.2281, 1.3949, 0.0027, 1.4047, 0.0024000000000000002, 1.4086, 0.0029000000000000002, 1.4015, 0.3816, 1.2657, 0.3074, 0.9764, 0.3207000000000000... | 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + 0.5 * (Z(0) @ Z(10)) + 0.5 * (Z(11) @ Z(10)) + 0.5 * (Z(7) @ Z(10)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(11)) + 0.16666666666666666 * (Z(1) @ Z(8)) + 0.5 * (Z(1) @ Z(10)) + 0.5 * (Z(1) @ Z(11)) + 0.16666666666666666 * (Z(2) @ Z(10)) + 0.16666666666666666 *... | 4 | 12 | 1 | {"smallest_eigenvalues": [-5.500000000000002], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.500000000000001, "smallest_bitstrings": ["000100000111"], "largest_eigenvalue": 13.499999999999993} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(2.044832224187194) q[0];
rz(1.786781913334936) q[0];
rx(3.0538668638715527) q[1];
rz(0.9686392630199867) q[1];
rx(2.5519577448667774) q[2];
rz(1.4634487945903318) q[2];
rx(2.3316966260096117) q[3];
rz(1.7201409062811939) q[3];
rx(2.8291620726455653) q[4];
rz(1.97478... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIZZIIIIIIII",
"IZIZIIIIIIII",
"IZIIIIIIIIIZ",
"ZZIIIIIIIIII",
"IZIIZIIIIIII",
"IIIIZIIIIIIZ",
"ZIIIZIIIIIII",
"IIIZIIIIIIZI",
"IZIIIIIIIIZI",
"ZIIIIIIIIIZI",
"IZIIIIIIIZII",
"ZIIIIIIIIZII",
"IIIIIIIIIZZI",
"IIZIIIZIIIII",
"IZIIIIZIIIII",
"IIIIIIZIIIIZ",
"ZIIIIIZIIIII",
"IIIIZIZII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
... | 0.983095 | [
2.044832224187194,
0.21598558654003971,
3.0538668638715527,
-0.6021570637749099,
2.5519577448667774,
-0.107347532204565,
2.3316966260096117,
0.1493445794862975,
2.8291620726455653,
0.4039871776219391,
1.52214844730921,
-0.061940758070005236,
2.2737128743232,
-0.3160181565459314,
1.351761... | {
"n_parameters": 34,
"n_qubits": 12,
"optimal_eigenvalue": -5.500000000000002,
"target_ratio": 0.97,
"target_value": -5.335000000000002
} | 43 |
1dcb3c744ddd55658248ce3c7196418c | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}]} | {"states": [32190, 31710], "expectation_value": -10.100470559564618, "params": [[-0.08070000000000001, -0.0781, -0.081], [0.0775, 0.0727, 0.0728]], "bitstrings": ["1000001001000001", "1000010000100001"], "total_optimization_steps": 10, "probabilities": [0.00020669105634378581, 0.00020669152496125706], "optimization_tim... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7... | 1 | 16 | 3 | {"smallest_eigenvalues": [-19.99999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999932, "smallest_bitstrings": ["1000010000100001"], "largest_eigenvalue": 68.00000000000027} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(1.0652804248318555) q[0];
rz(-0.4790339043757319) q[0];
rx(0.9745577300577288) q[1];
rz(0.29346053770470665) q[1];
rx(0.0157130110860835) q[2];
rz(0.618448567596635) q[2];
rx(1.0308831125161482) q[3];
rz(0.23627299479722735) q[3];
rx(1.1756644845217723) q[4];
rz(0.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIZI",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIIIIIZ",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
... | 0.970132 | [
1.0652804248318557,
-0.3214709232980808,
0.9745577300577288,
0.29346053770470665,
0.0157130110860835,
0.618448567596635,
1.0308831125161482,
0.23627299479722735,
1.1756644845217723,
0.3067858491711559,
1.00009586838585,
-0.016079870551915385,
1.0041750502695932,
-0.3884080547291887,
0.19... | {
"n_parameters": 137,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999897,
"target_ratio": 0.97,
"target_value": -19.3999999999999
} | 19 |
0609beb0244f504071355435b704f83a | 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": 2, "source": 2, "target": 3}, {"weight": 14, "source": 2, "targ... | {"states": [187, 182], "expectation_value": -30.035073712341177, "params": [[-0.0279, 0.0028], [0.06770000000000001, 0.0597]], "bitstrings": ["101000100", "101001001"], "total_optimization_steps": 10, "probabilities": [0.005298887888594798, 0.006298400162915733], "optimization_time": 4.384911298751831} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-109.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -101.0, "smallest_bitstrings": ["101001001"], "largest_eigenvalue": 239.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.05720166376948084) q[0];
cx q[1], q[0];
rz(0.384465093829772) q[0];
rx(0.5257962609517454) q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.05720166376948084) q[3];
cx q[1], q[3];
cx q[3], q[2];
rz(0.05720166376948084) q[2];
cx q[3], q[2];
h... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIIZIZII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
27,
-2.5,
25,
1,
24,
25.5,
5,
27.5,
16.5
] | 0.971929 | [
0.05720166376948084,
-1.9208781452886627,
0.3844650938297717,
-1.5190760479115246,
0.8209157825718216,
-1.7818713127497543,
-1.4122972990232305,
0.9561315396792637,
-1.4130348703589817,
-0.5499250001873687,
0.5257962609517453,
-0.09871875069884134,
0.16770288276034062,
1.0067294391173507,
... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -109,
"target_ratio": 0.97,
"target_value": -105.73
} | 77 |
70b6be38b1b67e5f49037d70330e01f2 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [2031, 2023], "expectation_value": -21.20539031164642, "params": [[[-0.0029000000000000002, 2.7054], [-0.0032, -0.0029000000000000002], [-0.0035, -0.003], [-0.003, -0.0031000000000000003], [-0.0029000000000000002, -0.0029000000000000002], [-0.0025, -0.0028], [1.6543, -0.0026000000000000003], [-1.6305, 0.0034... | -2.0 * (Z(0) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(0)) + -2.0 * (Z(1) @ Z(4)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + -2.0 * (Z(3) @ Z(9)) + -2.0 * (Z(3) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + -2.5 * (Z(10) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + ... | 15 | 11 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["00000011000"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(0.29077422915650647) q[0];
h q[1];
ry(0.29077422915650647) q[1];
h q[2];
ry(0.29077422915650647) q[2];
h q[3];
ry(0.29077422915650647) q[3];
h q[4];
h q[5];
ry(0.08246923798066687) q[5];
cx q[4], q[5];
ry(-0.08246923798066687) q[5];
cx q[4], q[5];
cx q[5], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIIIZIIIIZ",
"IIIIIIZIIZI",
"IIIIIIIIIZZ",
"IIIIIZIIIZI",
"IIIZZIIIIII",
"IZZIIIIIIII",
"IZIIIIIZIII",
"IIZIIIIZIII",
"ZZIIIIIIIII",
"ZIZIIIIIIII",
"ZIIIIIIZIII",
"IIIIIIIZZII",
"ZIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIIIIIII... | [
-2,
-2,
-2,
-2,
1,
-2,
0.5,
-1.5,
-2,
-2,
0.5,
0.5,
-2.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970221 | [
0.5815484583130129,
1.4145592750955194,
-0.46336594336997494,
1.41009336568426,
0.14258149217789381,
0.08531847433328964,
0.3481380186113869,
0.16493847596133374,
2.7494624287191063,
0.03180849311208858,
-0.5006615633647054,
1.4390873794969652,
-0.4474030413446085,
0.04514121645347266,
0... | {
"n_parameters": 67,
"n_qubits": 11,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 227 |
fcaddda40330c69dd642439c2ac13865 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "... | {"states": [0, 4095], "expectation_value": -19.429678247763775, "params": [[[-0.8530000000000001, 1.1099], [-0.0015, 0.9889], [-0.002, 0.0014], [-0.0026000000000000003, -0.0023], [-0.0036000000000000003, -0.0029000000000000002], [-0.0028, -0.0025], [-0.0035, -0.0029000000000000002], [-0.0032, -0.003], [-0.0017000000000... | -2.0 * (Z(0) @ Z(5)) + -2.0 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + -2.0 * (Z(9) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(11)) + 1.0 * (Z(2) @ Z(11)) + -2.5 * (Z(2) @ Z(10)) + -2.0 * (Z(3) @ Z(11)) + -2.0 * (Z(3) @ Z(10)... | 15 | 12 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.0, "smallest_bitstrings": ["000000000000"], "largest_eigenvalue": 26.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.07298115001027175) q[0];
ry(-0.2249734740819651) q[1];
ry(-0.07797721919612444) q[2];
ry(0.08187130736846415) q[3];
ry(-0.273898131468333) q[4];
ry(0.08685403459240214) q[5];
ry(-0.007037515827072238) q[6];
ry(0.04400773123842737) q[7];
ry(0.02584318032991486) 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[... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIZ",
"IIIIIIZIIIZI",
"IIIIIIIIIIZZ",
"IIIIIZZIIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIIZI",
"IIZIZIIIIIII",
"IIIZZIIIIIII",
"IIZZIIIIIIII",
"ZZIIIIIIIIII",
"ZIIIIIIIIZII",
"IZIIIIIIIZII",
"ZIIIIIIIZIII",
"IZIIIIIIZIII",
"IIIIIIIIZZII",
"IZIIIIIZIIII",
"IIIIIIIZIZII",
"IIIIIIIZZ... | [
-2,
-2,
0.5,
-2,
0.5,
0.5,
-2,
-1.5,
-2,
-2,
1,
-2.5,
-2,
-2,
-2.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.980204 | [
-0.07298115001027175,
-0.2249734740819651,
-0.07797721919612444,
0.08187130736846415,
-0.273898131468333,
0.08685403459240214,
-0.007037515827072238,
0.04400773123842737,
0.02584318032991486,
-0.003382725855884186,
-0.07485547182532729,
0.01134009557299785,
2.932110757077052,
0.14205924750... | {
"n_parameters": 20,
"n_qubits": 12,
"optimal_eigenvalue": -26,
"target_ratio": 0.97,
"target_value": -25.22
} | 43 |
bbe36c72142a04c8b1698fed3f77c25c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [16, 19], "expectation_value": -3.999971823125694, "params": null, "bitstrings": ["01111", "01100"], "total_optimization_steps": 22, "probabilities": [1.3834265384826307e-05, 0.9999858819924361], "optimization_time": 11.618140935897827} | 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 | 1 | {"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 ... | 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(-1.5708) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"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 |
9a44f437194a4879d426f5b6a5686299 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [39, 7], "expectation_value": -20.324646396603608, "params": [0.054, 0.2992, 0.0448, 0.1136, 0.3854, 0.11410000000000001, 0.2134, 0.1867, 0.0995, 0.0099, 0.598, 0.0031000000000000003, 0.5871000000000001, -0.0031000000000000003, 0.5900000000000001, -0.0011, 0.047400000000000005, 0.2979, 0.0224, 0.1701, 0.2866... | 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)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 4 | 8 | 4 | {"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;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.08091434685478957) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.08091434685478957) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.08091434685478957) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.08091434685478957) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
-7.25,
-7,
-7,
-7,
-7.25,
-6.25,
-6.5,
-6.25
] | 0.97193 | [
0.08091434685478957,
0.19683262780482505,
-0.5276026023285014,
-0.2585790863730953,
0.6015554638553474,
0.11689174019538448,
-0.45237660767138255,
-0.07816655406896592,
-0.26502704531832566,
-0.8206004991266179,
-0.7539224517840958,
0.3364543138354996,
0.531455957300341,
-0.599578090869826... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 94 |
5773346088093114269 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2], [5, 6], [1, 3], [1, 2], [2, 4], [1, 6]]} | {"states": [101, 102], "expectation_value": -2.6394997011701835, "params": null, "bitstrings": ["0011010", "0011001"], "total_optimization_steps": 56, "probabilities": [0.05517707571662537, 0.7906786716961304], "optimization_time": 59.716689348220825} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["1100110", "0011001"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(0.7249076449305294) q[0];
h q[1];
h q[2];
ry(-0.03140593193972235) q[2];
cx q[1], q[2];
ry(0.03140593193972235) q[2];
cx q[1], q[2];
ry(1.5280724218060178) q[1];
ry(-0.24548350592250257) q[2];
h q[3];
ry(-0.7708696184172751) q[3];
cx q[1], q[3];
ry(0.77086961... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIIIZIZ",
"ZZIIIII",
"IIIIZZI",
"ZIIIIZI",
"IIIZIZI",
"IIZIZII",
"IIIIZII",
"IIIIIIZ",
"ZIIIIII",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.978505 | [
-0.0628118638794447,
1.5280724218060178,
-1.5417392368345502,
-0.49096701184500513,
1.627390094442357,
1.4498152898610588,
-0.6680887158361363,
-0.11659429923310646,
1.1749888418518226,
-1.4119937720505469,
0.17379567660300346,
0.16100592334765002,
-0.11090905873909876,
0.20452423185080462... | {
"n_parameters": 46,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 28 |
ad2c8808e4e24f79d1ce4f9a8d64bbe1 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 1, ... | {"states": [128, 61], "expectation_value": -2.930107770108198, "params": [[-0.1612, -0.1632], [0.17070000000000002, 0.1711]], "bitstrings": ["01111111", "11000010"], "total_optimization_steps": 20, "probabilities": [0.02809897590473408, 0.03524142023847891], "optimization_time": 4.135708332061768} | -0.5 * (Z(0) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["11000010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.014854315310046964) q[0];
ry(-0.03729676010121815) q[1];
rz(-pi) q[1];
h q[2];
ry(0.8055963103906512) q[2];
h q[3];
ry(1.5413867232941334) q[3];
h q[4];
ry(0.8055963103906512) q[4];
cx q[3], q[4];
ry(-0.8055963103906512) q[4];
cx q[3], q[4];
h q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"ZIIIIIIZ",
"IIZIIIZI",
"ZIZIIIII",
"IZIIIIZI",
"IIIIIZZI",
"IIZIIZII",
"IIIIZIZI",
"ZIIIZIII",
"IIZIZIII",
"IZIIZIII",
"IIIIZZII",
"ZIIZIIII",
"IIZZIIII",
"IZIZIIII",
"IIIZIZII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIZI... | [
-0.5,
0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.75,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
-0.25,
0.25,
-0.75,
-0.25,
1.25,
1
] | 0.998931 | [
1.5413867232941334,
1.6111926207813023,
1.5582303119186558,
1.5849264559127798,
-1.5965526985559542,
-1.4420256266999978,
-1.5801916192047236,
-0.18294787998736117,
-0.01192451884967978,
0.04787332815945153,
0.021804112902021354,
0.06662708175304768,
0.08666792215002461
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 1 |
8478079238054624200 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 6], [8, 7], [8, 5], [4, 5], [0, 4], [2, 6], [5, 6], [8, 6], [1, 5], [0, 1], [0, 5], [2, 5], [0, 6], [1, 7], [3, 7], [8, 2], [6, 7], [8, 1], [0, 3]]} | {"states": [244, 267], "expectation_value": -0.15030286507963894, "params": [[-0.0627], [0.0649]], "bitstrings": ["100001011", "011110100"], "total_optimization_steps": 10, "probabilities": [0.002250555425786627, 0.002250555425786627], "optimization_time": 0.8658807277679443} | 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["101001010", "011110100", "100001011", "010110101"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.05914141849523635) q[0];
rz(1.6853226972487825) q[0];
rx(1.693956932384595) q[1];
rz(1.6730014777928535) q[1];
rx(0.11375287015735655) q[2];
rz(1.5254152388922435) q[2];
rx(1.6429511212411778) q[3];
rz(1.5307564865851297) q[3];
rx(1.6236727947193133) q[4];
rz(1.681... | 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[6], q[1];
rz(x0) q[1];
cx q[6], q[1];
cx q[6], q[8];
rz(x0) q[8];
cx q[6], q[8];
cx q[1], q[8];
rz(x0) q[8];
cx q[1], q[8];... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIZI",
"ZIZIIIIII",
"ZIIIIIIZI",
"IZZIIIIII",
"IZIIIIIZI",
"ZZIIIIIII",
"IIZZIIIII",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIIIIIIZZ",
"IIIZIIIIZ",
"IIIIZIIIZ",
"IIZIIIZII",
"ZIIIIIZII",
"IIIZIIZII",
"IZIIIZIII",
"IIIIIZIIZ",
"IIZIIIIII",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.970939 | [
0.05914141849523635,
0.11452637045388601,
1.693956932384595,
0.10220515099795703,
0.11375287015735656,
-0.04538108790265299,
1.6429511212411776,
-0.04003984020976693,
1.6236727947193133,
0.11104180730629548,
0.0808746656713405,
0.3934674025648919,
1.5872287499959328,
-0.04927504611646044,
... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 59 |
b470fb1cd90efe735b000e94c05a7225 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2}, {"capac... | {"states": [0, 1], "expectation_value": -15.624093119716917, "params": [0.0329, -0.12660000000000002, 0.027600000000000003, -0.030600000000000002, -0.005200000000000001, 0.195, -0.0002, 0.24350000000000002, -0.0054, 0.18910000000000002, -0.0079, 0.15410000000000001, -0.0023, 0.2258, -0.0053, 0.22890000000000002, -0.005... | -0.5 * (Z(0) @ Z(4)) + -1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + 2.0 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(3)) + -1.0 * (Z(7) @ Z(4... | 6 | 10 | 3 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.03958956266738694) q[0];
rz(1.5904979479305839) q[0];
rx(-0.075602193453891) q[1];
rz(1.6180317440495298) q[1];
rx(0.010407196490270177) q[2];
rz(1.669054278894194) q[2];
rx(-0.007175254165987705) q[3];
rz(1.6713456071135564) q[3];
rx(0.008011235392805498) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIZ",
"IIIZIIIIIZ",
"IIIZIIIIZI",
"IIIIIZIZII",
"IIIZIIIZII",
"IIIIIIIZZI",
"IIIZIIZIII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIIZIIIZI",
"IIIIZIZIII",
"ZIIIIIIIIZ",
"ZIIIIIZIII",
"IIZIIZIIII",
"IIZIIIIIZI",
"IIZIIIZIII",
"IIZIZIIIII",
"IZIZIIIIII",
"IZIIIIIZII",
"IZIIZIIIII"... | [
-0.5,
-1.25,
-0.5,
-0.75,
-1,
-0.75,
-0.5,
-1,
-0.25,
-1,
-0.5,
2,
-0.5,
-1,
-0.75,
-0.25,
-0.75,
-0.75,
-1.25,
-0.25,
-0.25,
-0.75,
0.75,
-0.25,
0.75,
-0.5,
-2.25,
0.25,
-1.25,
1.25,
0,
1.25
] | 0.974063 | [
0.039589562667386946,
0.019701621135687283,
-0.07560219345389099,
0.047235417254633254,
0.010407196490270176,
0.09825795209929729,
-0.007175254165987705,
0.10054928031866002,
0.008011235392805498,
0.1322253669457828,
-0.11491407286609864,
0.10567331525303639,
-0.02675196941959651,
0.314796... | {
"n_parameters": 155,
"n_qubits": 10,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 18 |
887b4295f8cc98df17e71ab4f87db0b8 | 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": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, {"source": ... | {"states": [0, 1023], "expectation_value": -31.671263229150473, "params": [[[0.0029000000000000002, 1.6138000000000001], [0.0027, 0.0029000000000000002], [0.0034000000000000002, -0.0028], [0.0022, 0.0027], [0.0022, 0.0022], [0.0031000000000000003, 0.0028], [0.0033, -0.003], [0.0021000000000000003, 0.0025], [0.002100000... | -1.5 * (Z(0) @ Z(2)) + -4.0 * (Z(3) @ Z(4)) + -3.0 * (Z(6) @ Z(4)) + -3.0 * (Z(6) @ Z(3)) + 1.5 * (Z(7) @ Z(4)) + -4.0 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + -3.0 * (Z(8) @ Z(4)) + -3.0 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 1.5 * (Z(1) @ Z(4)) + -4.0 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 1.5 ... | 15 | 10 | 1 | {"smallest_eigenvalues": [-35.5, -35.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -34.5, "smallest_bitstrings": ["1010000000", "0000000000"], "largest_eigenvalue": 46.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
ry(0.10219392709245721) q[1];
h q[2];
h q[3];
ry(0.0016207216004930991) q[3];
h q[4];
ry(0.5489234061695667) q[4];
h q[5];
h q[6];
ry(0.7835359247864103) q[6];
h q[7];
cx q[7], q[3];
ry(-0.0016207216004930991) q[3];
cx q[7], q[3];
ry(0.09553748526711205... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZZIII",
"IIIZIZIIII",
"IIIZIIZIII",
"IIZIIZIIII",
"IIZIIIZIII",
"IIZZIIIIII",
"IZIIIZIIII",
"IZIIIIZIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IIIIIZIIZI",
"IIIIIIZIZI",
"IIIZIIIIZI",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IIIIZZIIII",
"IIIIZIZIII",
"IIIZZIIIII",
"IIZIZIIIII"... | [
-1.5,
-4,
-3,
-3,
1.5,
-4,
0.5,
-3,
-3,
1,
0.5,
1.5,
-4,
0.5,
1.5,
0.5,
-4,
1.5,
0.5,
-3,
0.5,
-3,
-4,
1.5,
0.5,
-3,
0.5,
-3,
1.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.959483 | [
1.0978468123391334,
0.0032414432009861983,
1.5670718495728206,
0.9955536816639163,
0.1910749705342241,
1.4242420400955211,
-2.467659279276621,
0.20438785418491442,
0.43100903522010825,
3.1701257291437894,
0.0013328470735777874,
0.01343222121304146,
0.0036439344503582335,
0.0330668522892452... | {
"n_parameters": 82,
"n_qubits": 10,
"optimal_eigenvalue": -35.5,
"target_ratio": 0.97,
"target_value": -34.435
} | 500 |
15323fff8a86688a67a3412302b595a8 | 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": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [3296, 7392], "expectation_value": -6.788831091432363, "params": [0.0023, 0.531, 0.0024000000000000002, -0.595, 0.7993, -0.0019, 0.8066, -0.0034000000000000002, 0.8064, -0.0006000000000000001, 0.0031000000000000003, 0.45830000000000004, 0.0025, 0.36010000000000003, 0.8099000000000001, 0.0036000000000000003, ... | -0.5 * (Z(10) @ Z(4)) + -0.5 * (Z(11) @ Z(4)) + 1.0 * (Z(11) @ Z(10)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(10)) + -0.5 * (Z(5) @ Z(11)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(10)) + -0.5 * (Z(6) @ Z(11)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(7) @ Z(8)) + 2.0 * (Z(9) @ Z(8)) + 1.0 * (Z(9) @ Z(7)) + -0.5 * (Z(0) @ Z(10)... | 18 | 15 | 2 | {"smallest_eigenvalues": [-17.799999999999823], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.999999999999844, "smallest_bitstrings": ["110001100011111"], "largest_eigenvalue": 37.40000000000005} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(-0.018028883949639758) q[0];
rz(0.9021455909522267) q[0];
rx(-0.010461068957280077) q[1];
rz(-0.6251513123138588) q[1];
rx(1.2410705536056943) q[2];
rz(0.24837249735736772) q[2];
rx(1.482653069731669) q[3];
rz(0.15733957473157698) q[3];
rx(1.3550375103965857) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZIIII",
"IIIZIIIIIIZIIII",
"IIIZZIIIIIIIIII",
"IIIIIIIIIZZIIII",
"IIIIZIIIIZIIIII",
"IIIZIIIIIZIIIII",
"IIIIIIIIZIZIIII",
"IIIIZIIIZIIIIII",
"IIIZIIIIZIIIIII",
"IIIIIIIIZZIIIII",
"IIIIIIZZIIIIIII",
"IIIIIZZIIIIIIII",
"IIIIIZIZIIIIIII",
"IIIIZIIIIIIIIIZ",
"IIIZIIIIIIIIIIZ",
"... | [
-0.5,
-0.5,
1,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
1,
1,
2,
1,
-0.5,
-0.5,
-1,
-1,
0.8,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
0.5,
0.5,
0.4,
-0.5,
-0.5,
-0.5,
-1,
-1,
-1,
1,
2,
-0.5,
-0.5,
0.5,
0.5,
5,
2.5,
5,
-0.29999999999999993,
-0.60000... | 0.972144 | [
-0.018028883949639758,
0.8606293015385114,
-0.010461068957280077,
-0.6251513123138588,
1.2410705536056943,
0.24837249735736772,
1.482653069731669,
0.15733957473157698,
1.3550375103965857,
0.08163044844034495,
-0.032341474889986954,
0.4495258465063271,
0.12331348944211716,
0.257408835838154... | {
"n_parameters": 75,
"n_qubits": 15,
"optimal_eigenvalue": -17.799999999999823,
"target_ratio": 0.97,
"target_value": -17.265999999999828
} | 19 |
1c79f0f3ab411f52384b2206b6163064 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": ... | {"states": [988, 1020], "expectation_value": -18.010208207957575, "params": null, "bitstrings": ["0000100011", "0000000011"], "total_optimization_steps": 100, "probabilities": [0.0509888880383265, 0.19741785298388798], "optimization_time": 286.5665099620819} | -4.0 * (Z(0) @ Z(1)) + 1.5 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + -3.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(3)) + -4.0 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(3)) + -3.5 * (Z(5) @ Z(4)) + -4.0 * (Z(7) @ Z(1)) + -3.5 * (Z(7) @ Z(0)) + -3.5 * (Z(7) @ Z(3)) + -3.5 * (Z(7) @ Z(4)) + ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-61.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.5, "smallest_bitstrings": ["0000000011"], "largest_eigenvalue": 30.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.021022227861581685) q[0];
h q[1];
h q[2];
ry(0.0667864641421551) q[2];
h q[3];
ry(-0.024666122305707312) q[3];
h q[4];
ry(-0.08171315108077311) q[4];
h q[5];
ry(-0.05801491712267685) q[5];
h q[6];
h q[7];
ry(0.283375467141875) q[7];
cx q[1], q[7];
ry(-0.2... | null | {"node": 10} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[1], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIZIII",
"IIIIZZIIII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZIIIZIII",
"IIZIIZIIII",
"IIZIZIIIII",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIZIIZII"... | [
-4,
1.5,
-3,
2,
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-3,
-4,
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-3.5,
-3.5,
-4,
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-3.5,
-3.5,
-3.5,
-3.5,
2,
1.5,
-3.5,
-3.5,
-3.5,
-3,
0.5,
0.5,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.97028 | [
0.56675093428375,
-0.1160298342453537,
-0.04204445572316337,
0.5461482273989519,
-0.5450651156091257,
0.1335729282843102,
-0.2037178637197401,
0.0672720566989615,
0.054858113917488335,
0.13247460476310713,
-0.16342630216154622,
-0.049332244611414625,
0.3139510493102232,
0.12059984160146506... | {
"n_parameters": 92,
"n_qubits": 10,
"optimal_eigenvalue": -61.5,
"target_ratio": 0.97,
"target_value": -59.655
} | 186 |
8371d10567e2a79675b7c54d9bc2bc4c | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}, {"source": ... | {"states": [255, 1023], "expectation_value": -9.536384774248589, "params": null, "bitstrings": ["1100000000", "0000000000"], "total_optimization_steps": 100, "probabilities": [0.12502352132732486, 0.37525261604936205], "optimization_time": 142.59082508087158} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -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(4) + 0.5 * Z(3) + 0.5 * Z(5) + 1.0 * Z(7) + -1.0 * Z(6) + 0.5 * Z(9) + 0.5 * Z(8) + 0.5 * Z(2) | 5 | 10 | 1 | {"smallest_eigenvalues": [-11.5, -11.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.5, "smallest_bitstrings": ["0000000000", "0000001100"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.3517812042951984) q[0];
cx q[1], q[0];
rz(-0.3462869944370093) q[0];
rx(-0.8875049246396636) q[0];
rz(-0.3462869944370093) q[1];
rx(-0.8875049246396636) q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-1.144059905202581) q[3];
cx q[... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5706) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... | [
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"ZIIIIIIZII",
"IZIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIIIIIZII"
] | [
-1,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5
] | 0.518688 | [
-1.3517812042951984,
-1.144059905202581,
-0.3462869944370094,
-0.6968876121860424,
-0.8875049246396635
] | {
"n_parameters": 5,
"n_qubits": 10,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 157 |
caf35114cd2a6c8ee1f15868fb61caaf | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [113, 97], "expectation_value": -3.245080263435143, "params": [0.6114, 0.001, 0.6079, -0.0031000000000000003, 0.5182, 0.031400000000000004, -0.0183, 0.3276, -0.0205, 0.3675, -0.0193, 0.37720000000000004, 0.5342, 0.1648, 0.61, 0.0012000000000000001, 0.6034, -0.0032, 0.5245000000000001, 0.0322, -0.0166, 0.3336... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z(6) | 3 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["1000111", "0001111", "0101011", "0111100", "0011110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.3749281718942854) q[0];
h q[1];
ry(1.436274641141968) q[1];
h q[2];
rz(-pi) q[3];
ry(-0.0027262288444135988) q[3];
ry(-0.01206206755472066) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.546424165316911) q[5];
h q[6];
ry(-0.6161330637769687) q[6];
cx q[2], q[6];
ry(0.61... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZZIII",
"IIZIIZI",
"IZIZIII",
"IZZIIII",
"IZIIIZI",
"IZIIZII",
"ZIIZIII",
"ZIZIIII",
"ZIIIZII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1.5,
-0.5,
-1.5,
-0.5,
-1
] | 0.994718 | [
-1.546424165316911,
-1.5348459439607316,
-1.450976241884169,
1.436274641141968,
1.3749281718942854,
-1.2322661275539375,
0.6835045182460581,
-0.14628811761727423,
0.5727281584325545,
-0.2863042567543411,
0.15136107694265455,
-0.19566383028535825,
-0.2450926275102824,
0.21137010648256874,
... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
35ceaf2acc1635ca8c652a3a1fed479f | 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": 3, "target": 4}, {"source": 3, "target": 5},... | {"states": [2047, 511], "expectation_value": -0.9298626162632683, "params": [[-0.0497], [0.063]], "bitstrings": ["00000000000", "11000000000"], "total_optimization_steps": 10, "probabilities": [0.0007389772855434024, 0.0007389772855434025], "optimization_time": 3.2518162727355957} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(9)) + 0.5 * (Z(7) @ Z(9)) + -2.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(7)) + 0.5 * (Z(10) @ Z(9)) + -1.5 * (Z(10) @ Z(7)) + -... | 1 | 11 | 1 | {"smallest_eigenvalues": [-20.5, -20.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -19.5, "smallest_bitstrings": ["00000000000", "11000000000"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.2239432202849596) q[0];
cx q[1], q[0];
rz(-0.7774086680583405) q[0];
rx(1.0074293696913486) q[0];
rz(-1.0210688536597514) q[1];
rx(1.0074293696913486) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.9121711073704493) q[2];
cx q[3], q[2];
h... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIIZIZII",
"IIIIIZIZIII",
"IIIIIZIIZII",
"IIIIIZZIIII",
"IZIIZIIIIII",
"IZIZIIIIIII",
"IZZIIIIIIII",
"IIZIZIIIIII",
"IIZZIIIIIII",
"ZZIIIIIIIII",
"ZIIZIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIIIZ... | [
-1.5,
-2,
0.5,
-2,
-1.5,
-2,
0.5,
-1.5,
0.5,
-2.5,
0.5,
-2,
0.5,
-1.5,
-2,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.602955 | [
1.2239432202849596,
0.9121711073704493,
0.04875506721853579,
0.1909182822802535,
-1.0210688536597519,
-0.7774086680583404,
1.0074293696913483
] | {
"n_parameters": 7,
"n_qubits": 11,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 208 |
-3614464490941379586 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 6], [0, 5], [1, 2, 4, 5], [2, 3, 5, 6, 7], [4, 6, 7], [0, 7], [1, 3]]} | {"states": [111, 103], "expectation_value": -1.546358386324088, "params": [0.778, 0.029500000000000002, 0.3784, 0.0058000000000000005, 1.0073, -0.050800000000000005, 0.9969, 0.0017000000000000001, 1.0079, -0.0834, 0.9962000000000001, 0.0, 0.9912000000000001, -0.0161, 0.38070000000000004, 0.0029000000000000002, 0.9959, ... | 0.5 * (Z(0) @ Z(6)) + 0.05 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(5)) + 0.05 * (Z(2) @ Z(6)) + 0.13333333333333333 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.... | 6 | 8 | 1 | {"smallest_eigenvalues": [-2.783333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.7, "smallest_bitstrings": ["10011000"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(-1.9463941534633028e-08) q[0];
cx q[6], q[0];
cx q[6], q[5];
rz(-3.4264149896898987e-09) q[5];
cx q[6], q[5];
cx q[0], q[5];
rz(-1.9463941534633028e-08) q[5];
cx q[0], q[5];
cx q[5], q[1];
rz(-2.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIZ",
"IZZIIIII",
"IIZIIIIZ",
"IIZIIIZI",
"IZIIIZII",
"IIZIIZII",
"IIIIIZZI",
"IZIZIIII",
"IIZZIIII",
"IIIZIIZI",
"IIIZIZII",
"IZIIZIII",
"IIZIZIII",
"IIIIZIZI",
"IIIIZZII",
"ZZIIIIII",
"ZIIIIIIZ",
"ZIZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIIIZIII",
"IZIIIIII",
"IIIIIII... | [
0.5,
0.05,
0.5,
0.08333333333333333,
0.05,
0.13333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.05,
0.05,
0.5,
0.05,
0.21666666666666667,
0.5,
0.05,
0.05,
0.16666666666666666,
0.05,
0.266666666666666... | 0.898204 | [
-1.9463941534633028e-8,
-3.4264149896898987e-9,
-2.0284211344950293e-8,
1.656526928858723e-7,
2.3096290363144514e-7,
-2.2756784918524633e-8,
1.5707963826025133,
-1.5707963251033068,
1.5707963169074814,
-1.5707964651479405,
4.712389086416099,
1.5707962858175286,
-1.5707963085601848
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -2.783333333333333,
"target_ratio": 0.97,
"target_value": -2.6998333333333333
} | 360 |
d250d8f4fdc760c6792fe044aba3c8f3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 4}, {"weight": 19, "source": 0, "target": 5}, {"weight": 20, "source": 1, "target": 2}, {... | {"states": [124, 122], "expectation_value": -26.44902767020601, "params": [[0.030500000000000003, 0.0056, -0.0006000000000000001, -0.0166], [-0.07300000000000001, -0.058, -0.055400000000000005, -0.038700000000000005]], "bitstrings": ["10000011", "10000101"], "total_optimization_steps": 10, "probabilities": [0.016493146... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 14.0 * Z(1) + 8.5 * Z(0) + 17.5 * ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-76.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["10000101"], "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(0.0069419094292595285) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0069419094292595285) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0069419094292595285) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.0069419094292595285) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
14,
8.5,
17.5,
18,
14,
0.5,
6.5,
4.5
] | 0.980464 | [
0.0069419094292595285,
1.5961578357065018,
-1.39146175983926,
1.679134868928517,
1.731621971991924,
-1.762928847811424,
1.2889467312321607,
-1.5369584353342585,
-1.685715989040691
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -76.5,
"target_ratio": 0.97,
"target_value": -74.205
} | 29 |
e4c65d82be0d39aa5a43dd21b25413c9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 11, "source": 1, "target": 5}, {"weight": 1... | {"states": [243, 122], "expectation_value": -19.110224645657627, "params": [[0.0346, 0.017400000000000002], [-0.0684, -0.0738]], "bitstrings": ["00001100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.011241968378841422, 0.01311371406538658], "optimization_time": 4.119958877563477} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) @ Z(4)) + 3.5 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 147.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3247553284692968) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.3247553284692968) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.3247553284692968) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.3247553284692968) q[3];
cx q[2], q[3];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
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,
9,
11.5,
15.5,
20,
12.5,
5,
13,
8
] | 0.974813 | [
0.3247553284692968,
-1.3219445212436283,
-0.42592128972119486,
-1.3026339243679061,
-0.9080909678550849,
-1.1188009159857968,
0.06199065936474893,
-1.7911626886341159,
0.15201918715687204,
0.008349512126035533,
-0.1740273346787747,
-0.13593270342756683,
0.4345867108068353,
-0.2043119716458... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 68 |
cc934fd375b609eaec4d51e90aa88a3f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [0, 24], "expectation_value": -6.499862834153168, "params": null, "bitstrings": ["1111111", "1100111"], "total_optimization_steps": 18, "probabilities": [1.9001726493476048e-05, 0.9999164736099005], "optimization_time": 16.489654302597046} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) ... | 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": ["0011111", "1101011", "1011110", "1110101", "1100111"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5029306725851626) q[0];
ry(-0.06742888412429267) q[1];
rz(-pi) q[1];
ry(-3.068504055485717) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4878093634635756) q[3];
h q[4];
ry(-1.7191899047378776) q[4];
h q[5];
ry(-1.5029306725851626) q[5];
ry(-0.06742888412429267) q[6];
... | 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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIIZ",
"IZZIIII",
"ZIIIZII",
"ZIIIIIZ",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIZZI",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-2,
-1.5,
-2,
-2,
-2,
-1.5
] | 0.997202 | [
-1.5029306725851626,
-1.7191899047378776,
-1.5034499883735557,
1.4878093634635756,
0.0001650914059034836,
0.019796730454489764,
0.05425779881800895
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 1 |
1530504591674695708 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 5], [2, 7], [3, 6], [2, 4]]} | {"states": [166, 180], "expectation_value": -0.018417246661607024, "params": [[0.0557], [-0.0475]], "bitstrings": ["01011001", "01001011"], "total_optimization_steps": 10, "probabilities": [0.004051847059158454, 0.004051847059158454], "optimization_time": 1.2357287406921387} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(0) + 0.16666666666666666 * Z(5) + 0.0 * Z(7) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(3) + 0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333], "number_of_smallest_eigenvalues": 12, "fi... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.5053227279551956) 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(0.5053227279551956) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.5053227279551957) q[1];
rx(-0.7762319297276226) q[1];
rz(0.5053227279551956) q[5];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(x0) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(x0) q[5];
cx... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIZIIIZI",
"IIZIIIIZ",
"ZIIIIZII",
"IZIIZIII",
"IIIZIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0,
0,
0,
0,
0
] | 0.724251 | [
0.5053227279551956,
1.1960619307371656,
7.666833720123073e-8,
-0.7762319297276226
] | {
"n_parameters": 4,
"n_qubits": 8,
"optimal_eigenvalue": -1.8333333333333333,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 118 |
ceada473950316c985fdaa58a8618609 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [84, 92], "expectation_value": -3.314285199058947, "params": [[[0.0023, 1.1307, 0.0081, 0.0022], [0.5227, -0.004, 0.527, 0.0021000000000000003], [-0.0026000000000000003, 0.020900000000000002, 0.0009000000000000001, 0.0179], [0.3052, 0.0088, 0.3084, 0.0061], [0.25320000000000004, 0.0049, 0.009000000000000001,... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(4) @ Z(1) @ Z(2)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 12 | 8 | 2 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["10100011"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.018928191739904274) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.018928191739904274) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.018928191739904274) q[2];
cx q[0], q[2];
rz(0.14657733939079343) q[0];
rx(0.3533677365058779) q[0];
h q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZIZI",
"IIIZIIZI",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIIIZZZI",
"IIIZIZZI",
"IIIZZIZI",
"IIIZZZII",
"IIIZZZZI",
"IIIIIIZZ",
"IIZIIIIZ",
"IZIIIIIZ",
"IIZIIIZI",
"IZIIIIZI",
"IZZIIIII",
"IIZIIIZZ",
"IZIIIIZZ",
"IZZIIIIZ",
"IZZIIIZI",
"IZZIIIZZ",
"IIZIIZI... | [
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,
0.5,
0.5,
0.5,
-0.625,
0.25,
-0.125,
-0.125,
-0.125,
-0.125,
-0.625,
-0.5
] | 0.971601 | [
0.018928191739904274,
-1.2296849783401864,
0.14657733939079362,
-1.2247777007286582,
-0.06013279515597353,
-2.0386095780878914,
-1.6431671013193643,
0.6421356284179992,
-1.8359197421625808,
0.3533677365058779,
-0.05358507740007074,
-0.44427693109859534,
1.4350546521930594,
-0.6327842321609... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -71,
"target_ratio": 0.97,
"target_value": -68.87
} | 68 |
8825faac04a1dea74e1f50fbc9cc77c3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 14, "source": 1, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {"... | {"states": [109, 107], "expectation_value": -26.75873824538578, "params": [[-0.042300000000000004, -0.0031000000000000003, 0.0158, 0.0045000000000000005], [0.0809, 0.0683, 0.0592, 0.057100000000000005]], "bitstrings": ["10010010", "10010100"], "total_optimization_steps": 10, "probabilities": [0.021014581985374543, 0.02... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ 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(5)) + 4.0 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 2.5 * Z(0) + 16.5 * Z(2) + 4.5 * Z(3) + 15... | 1 | 8 | 4 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["10010100"], "largest_eigenvalue": 125.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.15291605558017266) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.15291605558017266) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.15291605558017266) q[2];
cx q[0], q[2];
rz(-1.0431096114034215) q[0];
rx(-0.20100793962471603) q[0];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11,
2.5,
16.5,
4.5,
15,
8,
9.5,
10
] | 0.970819 | [
-0.15291605558017266,
1.5305142180454085,
-1.0431096114034206,
1.9279818478897792,
-0.9131555900472494,
1.2565631961675092,
0.036028566457382144,
1.105705289047865,
0.8217863488603611,
-0.20100793962471591,
0.21791004023137842,
0.12036532556028569,
-0.8985480040462571,
-0.3024677114818559,... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 44 |
4c2eecb4ef38c9274f53d19369153e09 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [849, 851], "expectation_value": -2.2978065162644006, "params": [1.1951, 1.3007, 1.3027, 1.3062, 0.44, 0.4723, 1.3, 1.2856, -0.0011, -0.003, 1.3051000000000001, 1.2977, 0.3003, 0.40040000000000003, 0.2745, 0.26680000000000004, 0.7205, 0.8952, 1.2874, 1.29, 1.0677, 1.2718, 0.08030000000000001, 0.8697, 0.0199,... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4... | 14 | 10 | 1 | {"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], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.5, "smallest_bitstrings": ["0010100101", "1000110001", "0010101001", "0100100110", "0001100110", "1000100110", "1000100011", "100110... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.533022976488815) q[0];
ry(-0.08925083506567773) q[1];
rz(-pi) q[1];
h q[2];
ry(-0.07530478978329831) q[3];
rz(-pi) q[3];
h q[4];
ry(1.3881690221492953) q[4];
h q[5];
ry(1.3881690221492953) q[5];
cx q[5], q[1];
ry(-0.00936572749460804) q[1];
cx q[5], 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": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIZZIIII",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IIZZIIIIIZ",
"IIIZIIIIZI",
"IZIIIIIIZI",
"ZIIIIIIIZI",
"IZIZIIIIII"... | [
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,
0.125,
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,
0.12... | 0.996343 | [
-1.533022976488815,
-1.4710783065612079,
-1.4909112192238267,
1.3881690221492953,
-1.1234777496644068,
0.8316785114091577,
0.01873145498921608,
-0.5192846465561148,
0.42585455404254946,
-0.410278847992595,
0.4239166218143763,
-0.20527906706299706,
0.2521116831060586,
0.1237539200381207,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
c24dd733315066f7c7da3d578f954d8c | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 2}]} | {"states": [2, 0], "expectation_value": -2.5624778255787932, "params": [-0.0026000000000000003, 0.08020000000000001, 0.0002, -0.046400000000000004, 0.0005, -0.07050000000000001, -0.0029000000000000002, -0.0713, -0.0032, -0.0741, -0.0011, 0.0024000000000000002, -0.0039000000000000003, 0.0011, -0.0028, 0.0014, -0.003, 0.... | 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0) @ Z(2) @ Z(4)) + -0.0... | 18 | 5 | 2 | {"smallest_eigenvalues": [-2.5625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5625, "smallest_bitstrings": ["11111"], "largest_eigenvalue": 4.4375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-pi) q[0];
ry(-3.109822845335567) q[0];
h q[1];
ry(-1.5582063124952958) q[1];
rz(-pi) q[2];
ry(-3.109822845335567) q[2];
rz(-pi) q[3];
ry(-3.109822845335567) q[3];
h q[4];
ry(1.469755261649514) q[4];
rz(-pi) q[5];
ry(-3.135276556501939) q[5];
cx q[4], q[5];
ry(-0.107... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIZIZ",
"IZIIZ",
"ZIIIZ",
"IIIZZ",
"IZZII",
"ZIZII",
"IIZZI",
"ZZIII",
"IZIZI",
"ZIIZI",
"IZZIZ",
"ZIZIZ",
"IIZZZ",
"ZZIIZ",
"IZIZZ",
"ZIIZZ",
"ZZZII",
"IZZZI",
"ZIZZI",
"ZZIZI",
"ZZZIZ",
"IZZZZ",
"ZIZZZ",
"ZZIZZ",
"ZZZZI",
"ZZZZZ",
"IIIIZ",
"IIZII",
"IZIII",... | [
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,
-0.5625,
-0.5625,
-0.5625,
-0.5625,
-... | 0.994345 | [
-1.5582063124952958,
1.469755261649514,
0.21471432446647404,
0.2656217467992172,
0.18133959097226313
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
cc7438f9c3f135fc425e5dafbb725117 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, ... | {"states": [168, 170], "expectation_value": -1.686921376943786, "params": [[0.609, 0.0021000000000000003, 0.6083000000000001, 0.38720000000000004, 0.6042000000000001, 0.1262, 0.6029, 0.35650000000000004], [0.6034, 0.0018000000000000002, 0.6069, 0.3648, 0.5974, 0.11750000000000001, 0.6056, 0.3889], [0.6024, 0.0021000000... | 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... | 10 | 8 | 2 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5625, "smallest_bitstrings": ["01000111", "01010101", "01001110"], "largest_eigenvalue": 6.4375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.28363337578134423) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.28363337578134423) q[2];
cx q[0], q[2];
rz(1.0081308575849182) q[2];
rx(-1.6880372877106562) q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.28363337578134423) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIZIIZI",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIZIIZZ",
"IIIIZZIZ",
"IIIZIZIZ",
"IIIZZIIZ",
"IIIIZZZI",
"IIIZIZZI",
"IIIZZIZI",
"IIIZZZII",
"IIIIZZZZ",
"IIIZIZZZ",
"IIIZZIZ... | [
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,
0.5,
0.5,
0.5,
0.5,
-0.0625,
... | 0.736672 | [
-0.28363337578134423,
-0.0956092508422771,
-1.97237725602297,
1.0081308575849182,
-1.6880372877106562,
0.4749848957366021,
-0.31836225207537955,
-4.3213344847686335,
-0.6870630827277984
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 340 |
bbe36c72142a04c8b1698fed3f77c25c | kclique | 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": [19, 18], "expectation_value": -4.464210787748039, "params": [[[0.48190000000000005, 0.0005], [0.0889, -0.19840000000000002], [0.09000000000000001, -0.1986], [0.4712, 0.0023], [0.3521, 0.0786]], [[0.48040000000000005, 0.0005], [0.09230000000000001, -0.19790000000000002], [0.0946, -0.19870000000000002], [0.46... | 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) | 1 | 5 | 4 | {"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 ... | OPENQASM 3.0;
include "stdgates.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": []} | [
"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 |
92e0d9744e7b0376f2c61fec7a621b77 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [120, 105], "expectation_value": -2.844103864995406, "params": null, "bitstrings": ["0000111", "0010110"], "total_optimization_steps": 45, "probabilities": [0.07574251269908065, 0.7565050367377619], "optimization_time": 47.14201641082764} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0) @ Z(3)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(1) @ Z(4)) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["0010110"], "largest_eigenvalue": 5.75} | 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[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5486) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIZZIII",
"IIIZIIZ",
"IZIIIIZ",
"IZIZIII",
"IZIZIIZ",
"IIZIIZI",
"ZIIIIZI",
"ZIZIIII",
"ZIZIIZI",
"ZIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
0,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25
] | 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 |
9b6c90aee56ab84919f7c826e678a024 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [25, 28], "expectation_value": -3.499937482943581, "params": null, "bitstrings": ["00110", "00011"], "total_optimization_steps": 22, "probabilities": [1.6356545604728112e-05, 0.9999687420766158], "optimization_time": 13.426153898239136} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + 0.0 * Z(1) + -0.5 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["00011"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.715232848262334) q[0];
h q[1];
ry(-0.030328296195851544) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.715232848262334) q[3];
cx q[1], q[3];
ry(0.715232848262334) q[3];
cx q[1], q[3];
ry(0.8365951312196482) q[1];
ry(-0.137398110733318) q[3];
h q[4];
cx q[4], q[0];
ry(... | 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(-1.5708) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IZIIZ",
"ZZIII",
"ZIIIZ",
"IZIZI",
"IZZII",
"ZIZII",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1,
0,
-0.5
] | 0.971164 | [
-1.5328804564516896,
-1.430465696524668,
1.0834096726626357,
0.8365951312196482,
-0.5509012021507701,
-0.274796221466636,
0.5569995611029345,
-0.19436412134691167,
0.4190248734622253,
-0.1534221934072706,
-0.34688012124946255,
0.35811511996319667,
0.3114564153778113,
-0.27922289113440785,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 4 |
2eca61fff51d1465adac5cd3931704d2 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 3, "source": 1, "target": 6}, {"capac... | {"states": [512, 511], "expectation_value": -19.99776188216363, "params": [[[-0.0066, 0.0022], [0.0005, -0.0015], [0.001, 0.003], [0.0078000000000000005, -0.0029000000000000002], [0.014, -0.0026000000000000003], [0.0034000000000000002, -0.0028], [-0.0027, -0.0031000000000000003], [0.0108, 0.0029000000000000002], [-1.55... | -0.75 * (Z(0) @ Z(5)) + -1.0 * (Z(7) @ Z(0)) + -1.0 * (Z(1) @ Z(5)) + -1.25 * (Z(1) @ Z(7)) + -0.75 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(7)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(8) @ Z(1)) + -0.25 * (Z(8) @ Z(6)) + 2.0 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(7)) + -0.75 * (Z(9) @ Z(1)) + -1.25 * (Z(9) @ Z(8)) + -0.5 * (Z(2) @... | 15 | 10 | 3 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 21.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.09316930689408885) q[0];
ry(0.21333692274022265) q[1];
ry(0.1629944162923454) q[2];
ry(0.023389060924799157) q[3];
ry(0.0007562693018981076) q[4];
ry(-0.005530941405325361) q[5];
ry(-0.015517362225890924) q[6];
ry(0.024072710998206914) q[7];
ry(0.5750766340380983)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIZ",
"IIZIIIIIIZ",
"IIIIZIIIZI",
"IIZIIIIIZI",
"IIIZZIIIII",
"IIZZIIIIII",
"IIIZIIIIZI",
"IZIIIIIIZI",
"IZIZIIIIII",
"ZIIIIIIIIZ",
"ZIZIIIIIII",
"ZIIIIIIIZI",
"ZZIIIIIIII",
"IIIIZIIZII",
"IIZIIIIZII",
"IIIIIIIZZI",
"IIIZIIIZII",
"IZIIIIIZII",
"ZIIIIIIZII",
"IIIIZIZIII"... | [
-0.75,
-1,
-1,
-1.25,
-0.75,
-1,
-0.75,
-0.75,
-0.25,
2,
-0.5,
-0.75,
-1.25,
-0.5,
-1.25,
-1,
-0.25,
-1,
-0.75,
-0.75,
-1.25,
-0.5,
-0.25,
-1,
-0.5,
-0.5,
-0.25,
-1.75,
-1.75,
-0.25,
-2,
-2.75,
0.5,
0,
-1.5,
5.5,
1.25,
1
] | 0.970686 | [
0.09316930689408885,
0.21333692274022265,
0.1629944162923454,
0.023389060924799157,
0.0007562693018981076,
-0.005530941405325361,
-0.015517362225890924,
0.024072710998206914,
0.5750766340380983,
0.16252240808292578,
-0.48692566296975803,
-0.1192120830275165,
0.023305846483659954,
0.0229257... | {
"n_parameters": 62,
"n_qubits": 10,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 48 |
ca80a1081391714ec98f68c48872633f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 4... | {"states": [1, 21], "expectation_value": -4.855098008600605, "params": null, "bitstrings": ["1111110", "1101010"], "total_optimization_steps": 32, "probabilities": [0.20447398014986273, 0.6556482078186285], "optimization_time": 28.522488117218018} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * (Z(4) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(2) + 0.25 * Z(5) + 0.25 * Z(4) + 0.25 * Z(6) + -... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000000", "1111110", "1101010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.1687906414607295) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.03011574609962077) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(0.07378267174157299) q[5];
cx q[1], q[5];
rz(1.0752020301122274) q[1];
rx(-1.5815568... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5626) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... | [
"IIIIIZZ",
"IIIIZIZ",
"IZIIIZI",
"IZIIZII",
"IIZIZII",
"ZIIIIIZ",
"ZIIIZII",
"IZIZIII",
"IIZZIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"ZIIIIII",
"IIIZIII"
] | [
-0.25,
-0.5,
-0.75,
-0.25,
-1.5,
1,
-0.5,
-0.75,
-0.25,
-0.25,
0,
-0.25,
0.25,
0.25,
0.25,
0.25,
-0.75
] | 0.969704 | [
-0.1687906414607295,
0.03011574609962077,
0.07378267174157299,
-0.07442929425137337,
0.14029338596054416,
1.0752020301122276,
1.2905015656937975,
-1.581556863044307,
-0.6601184714021492,
0.18906633086427665,
0.010349996280108478,
0.283721497150828,
1.0085271543039225,
1.5874609337062044,
... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 500 |
73d533dc900ade1f39f82d1daf03a1c8 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 4... | {"states": [9, 27], "expectation_value": -3.567215370964001, "params": [[-0.1373, -0.047900000000000005, 0.08650000000000001], [0.1491, 0.10540000000000001, 0.0323]], "bitstrings": ["1110110", "1100100"], "total_optimization_steps": 20, "probabilities": [0.03490705017269935, 0.03681290791103371], "optimization_time": 3... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(3)) + -2.75 * Z(1) + -0.25 * Z(0) + -1.0 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["1100100"], "largest_eigenvalue": 11.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6453148803699713) q[0];
h q[1];
ry(-1.2906297607399426) q[1];
h q[2];
ry(0.20763618927947922) q[2];
h q[3];
ry(1.5707963228051525) q[3];
h q[4];
ry(-1.2906297607399426) q[4];
h q[5];
cx q[5], q[2];
ry(-0.20763618927947922) q[2];
cx q[5], q[2];
ry(-0.212059... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"IIIIZZI",
"IIZIZII",
"IZZIIII",
"IZIIZII",
"IIIZIZI",
"ZIIIIIZ",
"ZIZIIII",
"ZZIIIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IZIIIII",
"IIIZIII",
"ZIIIIII"
] | [
-0.75,
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-0.75,
-1,
1.75,
-0.25,
-0.25,
-0.75,
-2.75,
-0.25,
-1,
1.25,
0.5,
1.75,
0.5
] | 0.93217 | [
-1.2906297607399426,
0.9633644251176647,
-0.8643128177065958,
1.5707963228051525,
0.6074318337665492,
-0.061168553258004583,
0.41527237855895843,
-0.42411995153383697,
-9.531955346250186e-9,
-1.2449153971741117e-7,
0.8307106868012877,
0.9070901524241489,
1.6098834234627052e-7,
0.0210102808... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -10.75,
"target_ratio": 0.97,
"target_value": -10.4275
} | 432 |
90ed954541db23a75eecb07977c28089 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": ... | {"states": [3006, 3037], "expectation_value": -3.2473631450828906, "params": null, "bitstrings": ["010001000001", "010000100010"], "total_optimization_steps": 100, "probabilities": [0.28865765420498446, 0.3804124365171238], "optimization_time": 686.0936949253082} | 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 | 12 | 1 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.8125, "smallest_bitstrings": ["010001000001", "000011010000", "100000000110", "001000101000", "100000001001", "000100110000", "001001000100", "010000100010"]... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3009393722060807) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.3009393722060807) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.3009393722060807) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.3009393722060807) q[0];
cx q[3], q[0];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.1871) 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];\... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIZIIZI",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIZIIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIZIZIZ",
"IIIIIIIZZIIZ",
"IIIIIIIIZZZI",
"IIIIIIIZI... | [
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,
0.125,
0.1... | 0.807446 | [
0.3009393722060807,
1.2484013044131173,
-0.3798378390662217,
0.4270385845264586,
-0.18410433411884003,
0.15621560101591658,
0.7528483255570873,
0.46142641491757197,
0.9481662270374182,
-0.565569105340614,
-0.3443169043342043,
-0.45828684618528925,
0.6868535447971575,
-0.27349808895761746,
... | {
"n_parameters": 27,
"n_qubits": 12,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 500 |
cea40deaccddfc7c282a06b59a6c5087 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, ... | {"states": [53, 49], "expectation_value": -0.38096864867319646, "params": [[-0.0824], [0.075]], "bitstrings": ["1001010", "1001110"], "total_optimization_steps": 10, "probabilities": [0.009227033390071497, 0.009321080439010386], "optimization_time": 1.5531699657440186} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + -1.0 * Z(4) + 0.0 * Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1110100", "1001110", "1011010", "1111000"], "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(-0.049360359825409726) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.049360359825409726) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.049360359825409726) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.049360359825409726) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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[2];
rz(x0)... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"ZIIIIIZ",
"IZIIIZI",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2,
-1.5,
-1.5,
-1,
0,
-0.5
] | 0.976198 | [
-0.049360359825409726,
-1.6547730307802455,
1.532754734655337,
1.373934988578451,
-1.6128588254329537,
1.2887889665194403,
1.6575845151008592
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 41 |
98ff52dd3a46eb29e6baf499c47cc739 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [22, 41], "expectation_value": -0.06191504484934218, "params": [[-0.0286, -0.0531], [0.0325, 0.0533]], "bitstrings": ["101001", "010110"], "total_optimization_steps": 10, "probabilities": [0.016962420728099586, 0.016962420728099586], "optimization_time": 3.909620761871338} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4)... | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.125, "smallest_bitstrings": ["010110", "011010", "011001", "101001", "111000", "011100"], "largest_eigenvalue": 4.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1168462545542617) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.1168462545542617) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.026972130850506856) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(0.1168462545542617) 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;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZZII",
"IZIZII",
"IIZIIZ",
"IZIIIZ",
"ZIIIIZ",
"IZZIII",
"ZIZIII",
"ZZIIII",
"IZZIIZ",
"ZIZIIZ",
"ZZIIIZ",
"ZZZIII",
"ZZZIIZ",
"ZIIIZI",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
-0.125,
-0.5,
-0.5,
-0.125,
-0.125,
-0.125
] | 0.970018 | [
0.1168462545542617,
-0.026972130850506856,
-0.20600931729682775,
1.0218307194447722,
1.01684782657755,
-0.487001181761455,
-0.18723924510216475,
-0.19363825099940243,
0.5083138681492403,
0.8592380923212168,
-1.1972997634823022,
-0.3747232322032641,
0.4021503991921809,
0.9788967940340897,
... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 114 |
3752518525185186155 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 1, 2, 7, 8, 9, 12], [0, 2, 5, 7, 9, 12], [1, 3, 4, 5, 7, 11], [1, 2, 6, 7, 8, 9, 10, 11, 12], [2, 3, 7, 9, 10, 11, 12], [0, 2, 3, 4, 5, 6, 8, 9], [0, 2, 3, 4, 8, 9, 10, 11, 12], [0, 4, 5, 6, 7, 8, 9, 10, 11], [1, 3, 4, 5, 6, 7, 12], [1, 2, 3, 5, 6... | {"states": [2037, 7627], "expectation_value": -3.5731197902598786, "params": [[0.2787], [-0.28290000000000004]], "bitstrings": ["1100000001010", "0001000110100"], "total_optimization_steps": 40, "probabilities": [0.0005107434646873387, 0.0005138449493510789], "optimization_time": 266.67565298080444} | 0.17460317460317457 * (Z(0) @ Z(1)) + 0.1845238095238095 * (Z(2) @ Z(1)) + 0.2821428571428571 * (Z(2) @ Z(0)) + 0.19047619047619047 * (Z(7) @ Z(1)) + 0.22261904761904758 * (Z(7) @ Z(0)) + 0.22698412698412698 * (Z(7) @ Z(2)) + 0.1607142857142857 * (Z(8) @ Z(1)) + 0.20912698412698405 * (Z(8) @ Z(0)) + 0.17341269841269838... | 1 | 13 | 1 | {"smallest_eigenvalues": [-4.749206349206346], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.737698412698409, "smallest_bitstrings": ["0001000110100"], "largest_eigenvalue": 27.999999999999986} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.08010166540700245) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.03491086124882915) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.015854911719935236) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[7];
rz(0.1... | 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": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZIZ",
"IIIIIZIIIIIZI",
"IIIIIZIIIIIIZ",
"IIIIIZIIIIZII",
"IIIIZIIIIIIZI",
"IIIIZIIIIIIIZ",
"IIIIZIIIIIZII",
"IIIIZZIIIIIII",
"IIIZIIIIIIIZI",
"IIIZIIIIIIIIZ",
"IIIZIIIIIIZII",
"IIIZIZIIIIIII",
"IIIZZIIIIIIII",
"ZIIIIIIIIIIZI",
"ZIIIIIIIIII... | [
0.17460317460317457,
0.1845238095238095,
0.2821428571428571,
0.19047619047619047,
0.22261904761904758,
0.22698412698412698,
0.1607142857142857,
0.20912698412698405,
0.17341269841269838,
0.09166666666666666,
0.13888888888888887,
0.18293650793650787,
0.20277777777777772,
0.1626984126984127,
... | 0.971087 | [
-0.08010166540700245,
-0.03491086124882915,
-0.015854911719935236,
0.14768678030194554,
0.09085706367728326,
0.22835858268669088,
0.05907401879494278,
0.13613218420162976,
0.020578218080810343,
0.05463897207175855,
-0.00951813261082634,
0.03639350465763768,
0.06944856585655558,
0.011061174... | {
"n_parameters": 79,
"n_qubits": 13,
"optimal_eigenvalue": -4.749206349206346,
"target_ratio": 0.97,
"target_value": -4.606730158730155
} | 249 |
7bc4dde9a09d0b94c5097b219891d81a | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [1774, 3499], "expectation_value": -0.8938534248406429, "params": [[-0.0507, -0.0731], [0.0596, 0.07400000000000001]], "bitstrings": ["100100010001", "001001010100"], "total_optimization_steps": 10, "probabilities": [0.0003872387672468483, 0.00038723876724684834], "optimization_time": 6.892200231552124} | 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(3)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * ... | 1 | 12 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -6.0, "smallest_bitstrings": ["010010100001", "010001010100", "010010001100", "001100001010", "010100010001", "001001100010", "001010001100", "100001100010", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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[12] c;
qubit[12] q;
h q[0];
h q[1];
... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIZIIIIIZIII",
"IIZIIZIIIIII",
"IIZIIIIIIIIZ",
"IZIIIIIZIIII",
"IZIIZIIIIIII",
"IZIIIIIII... | [
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,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
0.75,
0.75,
0.75,
1.25,
1.25,
1.25
] | 0.987235 | [
0.11953274834359354,
0.2854334628168601,
-0.11213716823678,
0.2175735915324961,
0.058537607426864216,
-0.2041489905535785,
1.195421164250731,
-0.0853700569336958,
0.21361350790414543,
0.08320735516977537,
-0.038044942888873196,
-0.02371278444846299,
-0.1628380576660834,
0.9476996835334291,... | {
"n_parameters": 22,
"n_qubits": 4,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 5 |
9f7aa6450d4dab0ee479c31fe60e5a62 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [917, 661], "expectation_value": -99.07347433720027, "params": [0.4893, 0.4954, 0.26230000000000003, 0.2544, 0.4949, 0.48900000000000005, 0.08710000000000001, 0.0833, -0.013000000000000001, -0.0302, 0.4909, 0.4969, 0.1726, 0.155, 0.49200000000000005, 0.4974, 0.083, 0.08320000000000001, 0.49520000000000003, 0... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(5) @ Z(1)) + 7.0 * (Z(5) @ Z(2)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(6) @ Z(0)) + 7.0 * (Z(9) @ Z(3)) + 7.0 * (Z(7) @ Z(0)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(7) @ Z(9)) + 7.0 * (Z(8) @ Z(9)) + 7.0 * (Z(8) @ Z(7)) + 13.5 * Z(0) + 10.0 * Z(1) + 12.5 *... | 14 | 10 | 3 | {"smallest_eigenvalues": [-117.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -95.5, "smallest_bitstrings": ["0101101010"], "largest_eigenvalue": 181.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.46369085353717654) q[0];
rz(pi/2) q[0];
ry(-0.20715865302412398) q[1];
ry(0.5186319984167244) q[2];
ry(0.08438305938323316) q[3];
ry(0.3335105744465523) q[4];
ry(0.49244898077640786) q[5];
ry(-0.13251493240200707) q[6];
ry(0.5009774395550909) q[7];
ry(-0.135208030... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIZZII",
"IIIIZIIIZI",
"IIIIZIIZII",
"IIIIZZIIII",
"IIIZIIIIIZ",
"ZIIIIIZIII",
"IIZIIIIIIZ",
"IIZZIIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IZZIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
13.5,
10,
12.5,
2,
12.5,
-4,
2,
17,
24,
1
] | 0.973421 | [
0.46369085353717654,
-0.20715865302412398,
0.5186319984167244,
0.08438305938323316,
0.3335105744465523,
0.49244898077640786,
-0.13251493240200707,
0.5009774395550909,
-0.13520803074922674,
0.5557990775657301,
0.328457960553834,
0.30076424192377,
-0.37849607020708276,
0.652908931547367,
-... | {
"n_parameters": 115,
"n_qubits": 10,
"optimal_eigenvalue": -117.5,
"target_ratio": 0.97,
"target_value": -113.975
} | 13 |
6672318994061899840 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 5, 6], [2, 4, 6], [0, 1, 2, 3, 4, 7, 8], [1, 2, 3, 5, 7, 8], [0, 1, 3, 4, 5, 6, 7], [1, 2, 4, 5, 7, 8], [0, 1, 2, 4, 5], [0, 2, 3, 4, 5, 7, 8]]} | {"states": [189, 445], "expectation_value": -1.0341840016937518, "params": [[-0.3776], [0.37010000000000004]], "bitstrings": ["101000010", "001000010"], "total_optimization_steps": 40, "probabilities": [0.005119535577641311, 0.005257212546883223], "optimization_time": 2.4859166145324707} | 0.30714285714285716 * (Z(2) @ Z(5)) + 0.19047619047619047 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(2)) + 0.13095238095238096 * (Z(4) @ Z(5)) + 0.29761904761904756 * (Z(4) @ Z(2)) + 0.19047619047619047 * (Z(4) @ Z(6)) + 0.09761904761904762 * (Z(0) @ Z(5)) + 0.09761904761904762 * (Z(0) @ Z(2)) + 0.023809523809523... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.79047619047619], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7904761904761897, "smallest_bitstrings": ["001000010"], "largest_eigenvalue": 7.999999999999997} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(-0.025340118507869134) q[2];
cx q[5], q[2];
h q[6];
cx q[5], q[6];
rz(-0.02592467220392676) q[6];
cx q[5], q[6];
cx q[2], q[6];
cx q[5], q[4];
rz(0.0287100136680822) q[4];
cx q[5], q[4];
cx q[5], q[0];
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": []} | [
"IIIZIIZII",
"IIZZIIIII",
"IIZIIIZII",
"IIIZZIIII",
"IIIIZIZII",
"IIZIZIIII",
"IIIZIIIIZ",
"IIIIIIZIZ",
"IIZIIIIIZ",
"IIIIZIIIZ",
"IIIZIIIZI",
"IIIIIIZZI",
"IIZIIIIZI",
"IIIIZIIZI",
"IIIIIIIZZ",
"IIIZIZIII",
"IIIIIZZII",
"IIZIIZIII",
"IIIIZZIII",
"IIIIIZIIZ",
"IIIIIZIZI",
"... | [
0.30714285714285716,
0.19047619047619047,
0.3333333333333333,
0.13095238095238096,
0.29761904761904756,
0.19047619047619047,
0.09761904761904762,
0.09761904761904762,
0.023809523809523808,
0.12142857142857143,
0.14047619047619048,
0.14047619047619048,
0.023809523809523808,
0.13095238095238... | 0.970908 | [
-0.025340118507869134,
-0.02592467220392676,
-0.010500799554706178,
0.0287100136680822,
-0.01804604747388777,
0.0140446446273828,
-0.039264696639937785,
-0.18293506248849883,
-0.020752010157388794,
-0.005299493773666888,
-0.027132648491012438,
0.0005052891268230095,
-0.041640106193205115,
... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -1.79047619047619,
"target_ratio": 0.97,
"target_value": -1.7367619047619043
} | 210 |
fc080107649a6d17dcb56ee14364c80b | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 3}, {"weight": 17, "source": 1, "target": 2}, {"weight": 15, "source": 1, "target": 3}, {"weight": 4... | {"states": [119, 118], "expectation_value": -28.90207788001588, "params": [[0.0267, 0.014, -0.0082, 0.0016], [-0.0664, -0.0704, -0.0455, -0.0324]], "bitstrings": ["10001000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.015108312121284075, 0.01814165514895455], "optimization_time": 6.414990425109863... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 152.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.03719020080834875) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.03719020080834875) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.03719020080834875) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.03719020080834875) q[3];
cx q[0], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIZII",
"IIIZZIII",
"IIZIIZII",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
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,
11.5,
7.5,
19,
14.5,
12.5,
13,
17,
4.5
] | 0.97288 | [
0.03719020080834875,
-1.8699221453934163,
1.5492561782986691,
-1.5931886264214523,
-1.6517452253590352,
1.8627470768994112,
-1.1395722413714153,
-1.5382517386917764,
1.6492088456784,
1.2904626098927485,
0.06032190008345585,
0.7509437090138501,
-1.2690087663305125,
-0.04464628747226069,
0... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 82 |
17debd478fb0eb69318abace866be76c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 2, "target": 1}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 3, "s... | {"states": [0, 1], "expectation_value": -8.987718171035597, "params": [0.0045000000000000005, 0.2989, 0.0031000000000000003, 0.437, 0.0027, 0.4431, 0.0016, 0.45630000000000004, 0.0016, 0.42210000000000003, 0.0025, 0.4329, 0.001, 0.4489, -0.015700000000000002, 0.10210000000000001, 0.6031000000000001, -0.0042000000000000... | -0.5 * (Z(0) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -1.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(5)) + -2.75 * Z(6) + ... | 4 | 9 | 3 | {"smallest_eigenvalues": [-9.75, -9.75, -9.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -8.75, "smallest_bitstrings": ["111111110", "111111100", "111110100"], "largest_eigenvalue": 15.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.06915174361495136) q[0];
rz(0.23890521070623041) q[0];
rx(-0.08634786474147427) q[1];
rz(0.07731532272459808) q[1];
rx(0.009023755687664295) q[2];
rz(0.05893806675868352) q[2];
rx(-0.08634786474147427) q[3];
rz(-0.054645169334423) q[3];
rx(0.042897660410441574) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIZIIIIIZ",
"IIZIIIZII",
"IIIIIIZZI",
"IIZIIZIII",
"IIIIIZZII",
"IIZIZIIII",
"IIIIZIZII",
"IIIIZIIZI",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIZZIIIII",
"IZZIIIIII",
"IZIZIIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"ZIIIIIIII",
"IIIZIIIII",
"... | [
-0.5,
-0.25,
-1.25,
-0.25,
-1,
-1,
-1.5,
-0.25,
0.75,
-0.25,
-0.75,
-1,
-0.5,
-2.75,
-0.25,
2,
-1.5,
-1,
1.25,
0.5,
0.25,
1.5
] | 0.973604 | [
0.06915174361495136,
0.23890521070623041,
-0.08634786474147427,
0.07731532272459808,
0.009023755687664295,
0.05893806675868352,
-0.054645169334423,
0.042897660410441574,
-0.222373591901531,
-0.2549340189782636,
-0.02083774950216004,
-0.0763540063860347,
-0.05283682700703876,
1.086622724043... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 6 |
dd83253949a28072d063600df3623a69 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "ta... | {"states": [71, 7], "expectation_value": -3.6989514690740894, "params": [[-0.1854], [0.18130000000000002]], "bitstrings": ["0111000", "1111000"], "total_optimization_steps": 20, "probabilities": [0.026113983162574284, 0.030544560913317094], "optimization_time": 0.7067885398864746} | 0.5 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 1.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * Z(1) + -2.0 * Z(0) + -2.0 * Z(3) + -2.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.08072540117544312) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.8096753025837545) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.15115786593320973) q[2];
cx q[1], q[2];
rz(0.8096753025837549) q[1];
rx(0.968320307... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x1) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZZII",
"IZZIIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
0.5,
-2,
0.5,
1,
0.5,
-2,
-1.5,
0.5,
-1.5,
-2,
-2,
-2,
-2,
0.5,
0.5,
0.5
] | 0.51303 | [
-0.08072540117544312,
0.8096753025837545,
0.15115786593320973,
0.8989385953616086,
0.9683203072915283
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 141 |
a887d91f9606dc8ffadccd46fa1ed57b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 2}, {"capaci... | {"states": [23, 17], "expectation_value": -1.5132428860759337, "params": [[-0.056600000000000004, -0.0636], [0.07300000000000001, 0.06520000000000001]], "bitstrings": ["101000", "101110"], "total_optimization_steps": 10, "probabilities": [0.026282697423493255, 0.027793860795290917], "optimization_time": 1.9247696399688... | -1.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + 3.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(3)) + -2.0 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 1.5 * Z(5) + 1.0 * Z(1) + -0.75 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["101110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-2.7026747242885296) q[0];
ry(0.04369070613606717) q[0];
rz(-2.3989077382019692) q[0];
rz(1.2390313594475595) q[1];
ry(2.7029776244779247) q[1];
rz(-1.8931095271762974) q[1];
rz(1.2296356242845414) q[2];
ry(0.07252810464454057) q[2];
rz(-0.8196100966248716) 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[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"ZIIIZI",
"IZZIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
-1.5,
-1.25,
3,
-1,
-0.5,
-0.5,
-0.75,
-2,
-0.25,
0.5,
1.5,
1,
-0.75
] | 0.983616 | [
-0.10851937358898682,
0.4487744318096143,
1.03540924260132,
-0.08402551519855138,
0.11521988296733376,
0.42557088328310494,
-0.050850343758797184,
0.2581494561174059,
-0.14082975527251856,
0.5348791684932794,
0.6541134772230921,
-0.015841090960918423,
0.10336452295257065,
0.568926069772383... | {
"n_parameters": 34,
"n_qubits": 6,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 11 |
44024677ca28b32241620a387d32f127 | 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": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [254, 1], "expectation_value": -2.8358693436430187, "params": [[-0.019, 0.081, 0.042800000000000005], [0.094, -0.0687, -0.0528]], "bitstrings": ["00000001", "11111110"], "total_optimization_steps": 10, "probabilities": [0.009324769662782395, 0.010014422024829035], "optimization_time": 23.758108854293823} | -1.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.0 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + -0.75 * (Z(6) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(7)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(4) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-15.5, -15.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.5, "smallest_bitstrings": ["11111110", "11110110"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.19218907498559545) q[0];
rz(0.09291448036761274) q[0];
rx(-0.04967512536563515) q[1];
rz(-0.16789485095899792) q[1];
rx(-0.02711705055853979) q[2];
rz(0.05319382007744444) q[2];
rx(-0.12111715079099174) q[3];
rz(0.1279624991313213) q[3];
rx(0.23015179240913114) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"ZIIIIIIZ",
"IIIIZIZI",
"IZIIIZII",
"IZIIZIII",
"ZZIIIIII",
"IZIIIIZI",
"IIZIIZII",
"IIZIZIII",
"ZIZIIIII",
"IZZIIIII",
"IIIZZIII",
"IIIZIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIIIIZI",
"IZIIIIII",
"IIZIIIII",
"IIIZIII... | [
-1.25,
-0.75,
-1.25,
2.75,
-1,
-1,
-1.25,
-0.5,
-0.75,
-1,
-0.75,
-1.25,
-1.25,
-1,
-1.25,
-2.5,
-0.25,
-2,
1,
-1,
2.25,
0.25,
2.25
] | 0.979512 | [
-0.19218907498559545,
0.24226762152849585,
-0.04967512536563515,
0.03839223908092401,
-0.027117050558539788,
0.1805599682181002,
-0.12111715079099175,
0.15017832014264118,
0.23015179240913117,
-0.2140719017473917,
-0.10195516285177114,
0.3252229958863298,
0.08491686831584225,
0.41598657944... | {
"n_parameters": 83,
"n_qubits": 8,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 6 |
b76f4835adbc5893d8d9f863102f37c3 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 17, "source": 1, "target": 7}, {"weight": 14, "source": 1, "target": 9}, {"weight":... | {"states": [980, 468], "expectation_value": -61.08221693938046, "params": [0.38870000000000005, 0.10940000000000001, 0.38580000000000003, 0.1091, 0.6018, -0.0499, 0.6015, -0.0261, 0.5947, -0.0613, 0.5945, -0.0328, 0.6028, -0.0512, 0.6038, -0.0342, -0.0057, 0.3234, -0.0013000000000000002, 0.322, 0.6041000000000001, -0.0... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(9) @ Z(3)) + 19.5 * Z(1) + 6.0 * Z(0) + 18.5 * ... | 5 | 10 | 2 | {"smallest_eigenvalues": [-103.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -87.0, "smallest_bitstrings": ["1000101011"], "largest_eigenvalue": 152.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.17637211928191682) q[0];
rz(0.1797434980395689) q[0];
rx(0.9957810338883953) q[1];
rz(-0.3379523995666682) q[1];
rx(0.6927482718040835) q[2];
rz(-0.4984752155273706) q[2];
rx(0.6862591277436583) q[3];
rz(0.44258128642993055) q[3];
rx(-0.06091739298567074) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IZIIIIIIZI",
"IZZIIIIIII",
"ZIIIIIIZII",
"ZIIIIIZIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
19.5,
6,
18.5,
18,
6.5,
-4,
1,
10,
3,
2
] | 0.972057 | [
0.1763721192819168,
0.1738142036328758,
0.9957810338883952,
-0.3156254314764816,
0.6927482718040836,
-0.37263162557107804,
0.6862591277436583,
0.38093631380213544,
-0.06091739298567074,
0.06384264843983106,
0.5363998889502023,
-0.29332885515631324,
0.1536915792629554,
0.582261939762077,
... | {
"n_parameters": 96,
"n_qubits": 10,
"optimal_eigenvalue": -103,
"target_ratio": 0.97,
"target_value": -99.91
} | 67 |
339c7fe0000b9f3d24083d98998c20d8 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 1, "target": 4}, {"capaci... | {"states": [1, 17], "expectation_value": -4.460783090478378, "params": [[-0.0737, -0.0568, -0.0632], [0.079, 0.0658, 0.0675]], "bitstrings": ["111110", "101110"], "total_optimization_steps": 10, "probabilities": [0.0457513601141193, 0.060683903003115686], "optimization_time": 2.9960668087005615} | -1.5 * (Z(0) @ Z(3)) + -2.25 * (Z(4) @ Z(3)) + -1.75 * (Z(4) @ Z(0)) + 3.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -1.25 * Z(3) + -0.25 * Z(0) + -2.75 * Z(4) + 3.0 * Z(5) + 1.75 * Z(1) + -0.5 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "smallest_bitstrings": ["101110"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.2133399821377441) q[0];
rz(-pi) q[0];
h q[1];
ry(0.7495760698632566) q[1];
h q[2];
ry(-0.08887877219422799) q[3];
rz(-pi) q[3];
ry(-0.19278541536231975) q[4];
rz(-pi) q[4];
h q[5];
ry(1.391295280431935) q[5];
cx q[5], q[4];
ry(-0.3176700012489248) q[4];
cx q[5], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IZZIII",
"IZIIIZ",
"ZIIIIZ",
"IZIIZI",
"ZIIIZI",
"IIZZII",
"IZIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIIZII"
] | [
-1.5,
-2.25,
-1.75,
3.5,
-1.25,
-0.5,
-0.5,
-1,
-1.25,
-0.25,
-2.75,
3,
1.75,
-0.5
] | 0.975641 | [
1.391295280431935,
-2.0329462789083035,
-1.6956809126815016,
-1.1529907529787395,
0.6353400024978496,
-0.45032158544803697,
-0.6578536032438583,
1.4991521397265133,
-0.28415573829494634,
-1.8771011169893437,
0.14516579000424013,
1.3509798685023018,
-0.8662456018688108,
-1.517406511507313,
... | {
"n_parameters": 23,
"n_qubits": 6,
"optimal_eigenvalue": -19.25,
"target_ratio": 0.97,
"target_value": -18.6725
} | 21 |
ec5002a22d136ca187061a1154c4a0cc | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [118, 630], "expectation_value": -3.9212734845830104, "params": [[[1.5899, 0.0085], [0.4212, 0.0026000000000000003], [-0.0031000000000000003, 0.0029000000000000002], [3.1448, 0.0001], [3.1476, 0.0079], [3.1456, 0.0064], [0.0028, 0.0079], [3.1473, 0.0061], [3.1458, 0.0058000000000000005], [-0.0027, 0.0004]]],... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(2) @ Z(7)) + 0.125 * (Z(4) @ Z(7)) + -0.125 * (Z(4) @ Z(0) @ Z(2)) + ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0110001001"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(2.9627193611879443) q[0];
rz(0.2741364183103836) q[0];
rx(0.044006008009001736) q[1];
rz(0.005040437044063054) q[1];
rx(0.003224807104731553) q[2];
rz(0.404105243322457) q[2];
rx(3.266644701019941) q[3];
rz(0.06888221201614256) q[3];
rx(3.174392352435002) q[4];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIZZZIIII",
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIZIIIIIIZ",
"IIIIIZIZII",
"IIZIIIIZII",
"IIZIIZIIII",
"IIIIIZIZIZ",
"IIZIIIIZIZ",
"IIZIIZIIIZ",
"IIZIIZIZII",
"IIZIIZIZIZ",
"IIIIZIIIZI",
"IIZIIIIIZI",
"IZIIIIIIZI"... | [
0.5,
0.5,
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,
0.5,
0.5,
-0.125,
-0.125,
-0.125,
-0.5,
0.125,
0.... | 0.991346 | [
2.9627193611879443,
0.2741364183103836,
0.044006008009001736,
0.005040437044063054,
0.003224807104731553,
0.404105243322457,
3.266644701019941,
0.06888221201614256,
3.174392352435002,
0.01358448762075265,
3.3303592901718835,
0.09004344133522135,
-0.03275874611005744,
3.1716297519824734,
... | {
"n_parameters": 19,
"n_qubits": 10,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 9 |
-3956308976671729837 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[10, 4], [2, 4, 5], [0, 4, 6], [5, 6], [0, 5], [9, 5], [1, 2, 6, 7, 8], [10, 11, 6], [0, 2], [9, 10, 3, 6], [2, 3], [1, 9], [1, 3, 6, 7, 8, 11], [0, 6, 7], [8, 9, 4], [2, 6, 7, 8, 9], [8, 4, 7], [11, 3, 5], [1, 2, 5, 8, 10, 11]]} | {"states": [3501, 2477], "expectation_value": -4.845630762833609, "params": [[[-0.0057, 3.1297], [-1.5690000000000002, 1.5691000000000002], [0.0076, 1.5690000000000002], [-0.0029000000000000002, 3.1617], [0.1258, -0.0041], [3.1651000000000002, -0.0182], [0.2134, 0.07010000000000001], [3.1596, 0.0058000000000000005], [-... | 0.5 * (Z(10) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.03333333333333333 * (Z(2) @ Z(10)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.03333333333333333 * (Z(5) @ Z(10)) + 0.19999999999999998 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(5)) + 0.16666666666666666 * (... | 15 | 12 | 1 | {"smallest_eigenvalues": [-5.349999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.033333333333336, "smallest_bitstrings": ["011001010010"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.04225321591553755) q[0];
ry(-0.807601297893617) q[1];
ry(0.07398430408565697) q[2];
ry(0.044075948071728495) q[3];
ry(0.06307086517533565) q[4];
ry(3.049859651473113) q[5];
ry(-6.545434513306574e-05) q[6];
ry(3.113584649752378) q[7];
ry(-0.017846383899970727) 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": []} | [
"IZIIIIIZIIII",
"IIIIIIIZIZII",
"IZIIIIIIIZII",
"IIIIIIZZIIII",
"IZIIIIZIIIII",
"IIIIIIZIIZII",
"IIIIIIIZIIIZ",
"IIIIIIIIIZIZ",
"IIIIIIZIIIIZ",
"IIIIIZIZIIII",
"IZIIIZIIIIII",
"IIIIIZIIIZII",
"IIIIIZZIIIII",
"IIIIIZIIIIIZ",
"IIZIIIIZIIII",
"IZZIIIIIIIII",
"IIZIIIIIIZII",
"IIZIIIZII... | [
0.5,
0.16666666666666666,
0.03333333333333333,
0.16666666666666666,
0.03333333333333333,
0.19999999999999998,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.25,
0.1,
0.5,
0.3333333333333333,
0.16666666666666666,
0.08333333333333333,
0.05,
0.5,
0.13333333333333333,
0.0333... | 0.973677 | [
-0.04225321591553755,
-0.807601297893617,
0.07398430408565697,
0.044075948071728495,
0.06307086517533565,
3.049859651473113,
-0.00006545434513306574,
3.113584649752378,
-0.017846383899970727,
-0.06046030978756249,
-0.23182927918342755,
0.00850303607611233,
3.095821328278362,
3.046742448432... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -5.349999999999997,
"target_ratio": 0.97,
"target_value": -5.189499999999997
} | 175 |
35d0ab225a79c03c12161d58b5a9d59b | 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": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 7}, {"source": 2, "target":... | {"states": [786, 787], "expectation_value": -4.531879899257182, "params": [[0.4051, 1.1424, -0.0023, -0.0118, 0.0013000000000000002, 1.5841, 0.003, -0.0026000000000000003, 1.5255, 0.0325], [1.6071, 1.6034000000000002, -0.0023, 0.015300000000000001, -0.0198, 1.5864, -0.0041, -0.0028, 1.5926, 1.5886]], "bitstrings": ["00... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + -1.0 * Z(2) + 0.0 * Z(0) + -0.5 * Z(4) + -0.5 * Z(1) + -1.0 * Z(3) + -1.0 * Z(... | 10 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.5, "smallest_bitstrings": ["0110011001", "0011101100", "0111001100", "0011100110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.3451693457588805) q[0];
ry(0.7535468801951017) q[1];
ry(0.025959493069532873) q[2];
ry(0.06042807641269535) q[3];
ry(0.17481348273178088) q[4];
ry(1.6487273720743605) q[5];
ry(-0.04098512439994347) q[6];
ry(0.08944797001957641) q[7];
ry(1.4102448592206738) q[8];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZIIZI",
"IIIIIIZIZI",
"IIZIIIIZII",
"ZIIIIIIZII",
"ZIIIIIZIII",
"ZIZIIIIIII",
"IIIIZIZIII",
"IIZIZIIIII",
"IIIZIZIIII",
"IZIZIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IIIIZIIIII",
"IIIZIIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-0.5,
-0.5,
-1,
-1,
-1,
-0.5,
-0.5,
0
] | 0.984792 | [
0.3451693457588805,
0.7535468801951017,
0.025959493069532873,
0.06042807641269535,
0.17481348273178088,
1.6487273720743605,
-0.04098512439994347,
0.08944797001957641,
1.4102448592206738,
0.1013191822221777,
2.702978441942891,
2.3414791206170475,
-0.07292483488778043,
0.1420974317510384,
... | {
"n_parameters": 19,
"n_qubits": 10,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 24 |
31bcee1b066a63f64c6901bb1e1b69cb | 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": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [28, 35], "expectation_value": -0.25515089306438943, "params": [[0.061900000000000004, 0.0813], [-0.0413, -0.0767]], "bitstrings": ["100011", "011100"], "total_optimization_steps": 10, "probabilities": [0.020716898793270398, 0.020892579573191468], "optimization_time": 2.177950859069824} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(2) + 0.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["100011", "101010", "011100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.8134308690563022) q[0];
rz(-0.004340210929724364) q[0];
rx(-0.04386525431228497) q[1];
rz(1.1021752077143088) q[1];
rx(-0.013238833040450147) q[2];
rz(-1.192074686665066) q[2];
rx(1.521660208972273) q[3];
rz(-0.5183062345743958) q[3];
rx(-0.07804897496144539) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIIZ",
"IZIIZI",
"IZZIII",
"IZIZII",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
0
] | 0.981324 | [
-0.8134308690563021,
0.02233676954795123,
-0.04386525431228497,
0.6629278156883924,
-0.013238833040450145,
-0.8015821085417717,
1.521660208972273,
-0.03357304081524819,
-0.0780489749614454,
1.036539672959953,
1.1636048445698097,
0.011763346432697531,
0.06040645557731586,
-0.969466387518295... | {
"n_parameters": 47,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 6 |
3be62d904e3c491ed9eeb750b53bffe0 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [117, 109], "expectation_value": -33.31100559704856, "params": null, "bitstrings": ["10001010", "10010010"], "total_optimization_steps": 100, "probabilities": [0.12248358700896955, 0.148783055868588], "optimization_time": 157.86446380615234} | 4.5 * (Z(0) @ Z(1)) + 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(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 6.0 * Z(0) + 18.0 * ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 149.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.21168570971743653) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.21168570971743653) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.21168570971743653) q[4];
cx q[1], q[4];
cx q[4], q[2];
rz(-0.21168570971743653) q[2];
c... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(0.1246) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIZIIZI",
"IIIIIZIZ",
"IIIZIZII",
"IIIZZIII",
"IIIIZZII",
"IIZIIIIZ",
"IIZIIZII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
11,
6,
18,
19,
3,
14.5,
3,
16
] | 0.973688 | [
-0.21168570971743653,
1.9308856659451843,
-0.7604456361294802,
2.2336652977818137,
0.9512505163062746,
-1.0949576031587098,
1.4022228748807728,
0.4690458748432811,
-0.3776214951120504,
0.21283364112687017,
-0.12348753682552199,
-0.5123941432253454,
-0.4469842718237369,
0.846666572969099,
... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -71,
"target_ratio": 0.97,
"target_value": -68.87
} | 46 |
c12dc8bfc0d8e8bc2e65cda825a741ab | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 2}]} | {"states": [4, 1], "expectation_value": -1.686402215115311, "params": null, "bitstrings": ["011", "110"], "total_optimization_steps": 8, "probabilities": [0.13254251138207834, 0.8435861677590577], "optimization_time": 2.0137336254119873} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + 0.75 * (Z(2) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) | 1 | 3 | 3 | {"smallest_eigenvalues": [-2.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0, "smallest_bitstrings": ["110"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.98693634562561) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.5702754027205156) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.5702754027205152) q[1];
rx(0.1809670407241956) q[1];
rz(-0.0605909341297176) q[2];
cx q[0], q[2];
rz(0.5702754... | null | {"source": 0, "sink": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\ncry(-1.4449) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\ncry(-1.4449) q[2], q[0]... | [
"IZZ",
"ZZI",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
-0.5,
-0.25,
0.75,
-0.25,
-0.25,
0.5
] | 0.970753 | [
0.98693634562561,
0.5702754027205156,
-0.0605909341297176,
0.01052034470793032,
0.1809670407241956,
-0.4210489548362983,
0.17941461010927579,
-0.5310091518833534,
-0.24571524346239182,
1.169259756964969,
0.8653272313101511,
0.8751350731179494,
-0.4970495411829845,
-1.6475907910109493,
1.... | {
"n_parameters": 15,
"n_qubits": 3,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 68 |
7009286556121294071 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[3, 4, 6, 7, 9, 10], [8, 1, 3, 5], [10, 4, 5, 7], [8, 9, 6], [0, 1, 2, 3, 4, 7, 8, 9, 10], [8, 2, 10, 6], [0, 9, 3, 6], [1, 2, 3, 5, 7, 9, 10], [1, 2, 6, 7], [8, 0, 6], [0, 1, 4, 5, 6, 7, 9], [0, 2, 3, 4, 5], [2, 10, 6, 7], [0, 1, 3, 4, 5, 7, 9], [2, 3, 4, 6,... | {"states": [1431, 1495], "expectation_value": -3.513098557214809, "params": [1.5705, 1.5776000000000001, 0.22340000000000002, 0.2566, 1.4536, 1.4504000000000001, 1.5876000000000001, 1.5619, 0.8618, 0.8409000000000001, 0.1769, 0.1729, 1.6126, 1.5350000000000001, 0.14120000000000002, 0.1422, 1.6633, 1.4837, 1.57, 1.57540... | 0.15436507936507937 * (Z(4) @ Z(5)) + 0.09047619047619047 * (Z(7) @ Z(5)) + 0.2 * (Z(7) @ Z(4)) + 0.2615079365079365 * (Z(8) @ Z(5)) + 0.17817460317460315 * (Z(8) @ Z(4)) + 0.3071428571428571 * (Z(8) @ Z(7)) + 0.12817460317460316 * (Z(10) @ Z(5)) + 0.21150793650793648 * (Z(10) @ Z(4)) + 0.3404761904761905 * (Z(10) @ Z(... | 13 | 11 | 1 | {"smallest_eigenvalues": [-3.7261904761904754], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.682539682539682, "smallest_bitstrings": ["01000101000"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.359129768420839) q[0];
rz(0.08207622791627475) q[0];
ry(0.33513207276376444) q[1];
ry(1.64530308483881) q[2];
ry(1.6687521014305773) q[3];
ry(1.225185851590533) q[4];
ry(0.07813324726185521) q[5];
ry(1.4597876434592059) q[6];
ry(0.17825733049067707) q[7];
ry(1.645... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIZZIIII",
"IIIZIZIIIII",
"IIIZIIZIIII",
"IIZIIZIIIII",
"IIZIIIZIIII",
"IIZZIIIIIII",
"ZIIIIZIIIII",
"ZIIIIIZIIII",
"ZIIZIIIIIII",
"ZIZIIIIIIII",
"IIIIIZIIZII",
"IIIIIIZIZII",
"IIIZIIIIZII",
"IIZIIIIIZII",
"ZIIIIIIIZII",
"IZIIIZIIIII",
"IZIIIIZIIII",
"IZIZIIIIIII",
"IZZIIIIII... | [
0.15436507936507937,
0.09047619047619047,
0.2,
0.2615079365079365,
0.17817460317460315,
0.3071428571428571,
0.12817460317460316,
0.21150793650793648,
0.3404761904761905,
0.15198412698412697,
0.13055555555555556,
0.07103174603174603,
0.2,
0.2376984126984127,
0.07103174603174603,
0.06388... | 0.971636 | [
1.359129768420839,
0.33513207276376444,
1.64530308483881,
1.6687521014305773,
1.225185851590533,
0.07813324726185521,
1.4597876434592059,
0.17825733049067707,
1.6450155534637385,
1.4830203339768502,
1.743835426097565,
0.1641524558325495,
0.03430489955573861,
-0.05126789183372278,
1.11505... | {
"n_parameters": 43,
"n_qubits": 11,
"optimal_eigenvalue": -3.7261904761904754,
"target_ratio": 0.97,
"target_value": -3.614404761904761
} | 5 |
b00cdfdeb413fbc0bb8e0b47a1947bf9 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"s... | {"states": [4094, 8191], "expectation_value": -14.689528664017933, "params": [[[-1.2471, 1.4077000000000002], [0.0033, 1.4053], [0.0024000000000000002, -0.0031000000000000003], [0.0016, 0.0027], [0.0017000000000000001, 0.002], [-0.0016, 0.0021000000000000003], [0.0031000000000000003, -0.0025], [0.0022, 0.0025], [0.0026... | -1.5 * (Z(0) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(7)) + -2.0 * (Z(8) @ Z(9)) + -1.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + -1.5 * (Z(11) @ Z(12)) + 0.5 * (Z(2) @ Z(12)) + -2.0 * (Z(2) @ Z(11)) + 0.5 * (Z(3) @ Z(11)) + -1.5 * (Z(3) @ Z(2)... | 15 | 13 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["0000000000000"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.12929166994704966) q[0];
ry(0.31316980516647797) q[1];
ry(-0.07263563909847454) q[2];
ry(-0.039062504558221946) q[3];
ry(-0.11102914256286366) q[4];
ry(-0.022748746414673563) q[5];
ry(0.17490830245594743) q[6];
ry(-0.01607506267290093) q[7];
ry(-0.0156503225289710... | OPENQASM 3.0;
include "stdgates.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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIIZ",
"IIIIIZZIIIIII",
"IIIIIZIIIIIIZ",
"IIIIIIZIIIIZI",
"IIIIIIIIIIIZZ",
"IIIIIZIIIIIZI",
"IIIZZIIIIIIII",
"IIZZIIIIIIIII",
"IIZIZIIIIIIII",
"ZZIIIIIIIIIII",
"ZIIIIIIIIIZII",
"IZIIIIIIIIZII",
"IZIIIIIIIZIII",
"IIIIIIIIIZZII",
"IIIIIIIZZIIII",
"IIIIIIZIIIIII",
"IIIIIIIIIII... | [
-1.5,
-2,
-2,
0.5,
0.5,
-2,
-2,
-1.5,
0.5,
-1.5,
0.5,
-2,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.971787 | [
0.12929166994704966,
0.31316980516647797,
-0.07263563909847454,
-0.039062504558221946,
-0.11102914256286366,
-0.022748746414673563,
0.17490830245594743,
-0.01607506267290093,
-0.015650322528971083,
0.14335037096670364,
0.135651883264428,
3.2594286351891544,
-0.04403430957528573,
0.01955423... | {
"n_parameters": 20,
"n_qubits": 13,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 54 |
ffad3b964ead217a06cbfc18be3f05e0 | 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": 6, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 3}, {"weight": 19, "source": 0, "target": 6}, {"weight": 11, "source": 1, "tar... | {"states": [397, 236], "expectation_value": -14.453047039791322, "params": [[-0.0443, -0.029], [0.07150000000000001, 0.0724]], "bitstrings": ["001110010", "100010011"], "total_optimization_steps": 10, "probabilities": [0.007473200494546315, 0.009756304963830044], "optimization_time": 3.3578593730926514} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(3)) + 10.0 * Z(1) + 7.5 * Z(0) + 14.0 * Z(2) + 5.5 * Z(3) + 5.... | 1 | 9 | 2 | {"smallest_eigenvalues": [-70.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 121.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.0557124833227797e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.0557124833227797e-08) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-1.0557124833227797e-08) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-1.0557124833227797e-08) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
7.5,
14,
5.5,
5.5,
11,
10,
3,
0.5
] | 0.771429 | [
-1.0557124833227797e-8,
-1.5707963643738432,
1.5707963617189826,
-1.570796307281642,
-1.5707963861865957,
-1.570796298809207,
1.570796328010783,
1.5707964018973435,
1.570796323776294
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -70,
"target_ratio": 0.97,
"target_value": -67.89999999999999
} | 263 |
-3107819100836678436 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4, 6], [2, 5], [0, 3, 7], [0, 1, 5, 7], [0, 1, 6], [2, 4, 7], [2, 6, 7], [0, 4, 7], [1, 2, 4, 6], [2, 3], [4, 5]]} | {"states": [95, 233], "expectation_value": -1.6310800775692325, "params": [[0.3709], [-0.37270000000000003]], "bitstrings": ["10100000", "00010110"], "total_optimization_steps": 40, "probabilities": [0.01822656157694424, 0.01877227787991935], "optimization_time": 3.6491570472717285} | 0.3333333333333333 * (Z(0) @ Z(4)) + 0.25 * (Z(6) @ Z(4)) + 0.3333333333333333 * (Z(6) @ Z(0)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(4)) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.250000000000001, "smallest_bitstrings": ["00010110"], "largest_eigenvalue": 9.5} | 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[0];
rz(0.007486484813023691) q[0];
cx q[4], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(0.013896765180980626) q[6];
cx q[4], q[6];
cx q[0], q[6];
cx q[4], q[2];
rz(0.013896765180980626) q[2];
cx q[4], q[2];
cx q[4], q[5];
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[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IZIZIIII",
"IZIIIIIZ",
"IIIZIZII",
"IZIIIZII",
"IIZZIIII",
"IIZIIIIZ",
"IIZIIZII",
"IIIIZIIZ",
"IIIIZZII",
"ZIIZIIII",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZIIIZIII",
"IIIZIIZI",
"IIIIIIZZ",
"IZIIIIZI",
"IIIIIZZI",
"IIZIIIZI",
"ZIIIIIZI",
"IIIZIII... | [
0.3333333333333333,
0.25,
0.3333333333333333,
0.25,
0.25,
0.5,
0.08333333333333333,
0.5,
0.16666666666666666,
0.5,
0.3333333333333333,
0.41666666666666663,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.25,
0.25,
0.0833... | 0.657399 | [
0.007486484813023691,
0.013896765180980626,
0.09598063417271661,
0.001338782434699213,
-0.41598625801977374,
1.6729470866341007,
1.3402171100091533,
-0.016292969600204356,
1.5252628429939825,
-1.5444292048762382,
-1.3155280890563001
] | {
"n_parameters": 11,
"n_qubits": 8,
"optimal_eigenvalue": -3.333333333333334,
"target_ratio": 0.97,
"target_value": -3.233333333333334
} | 259 |
887b4295f8cc98df17e71ab4f87db0b8 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, {"source": ... | {"states": [383, 1023], "expectation_value": -2.9325473761045653, "params": [[0.0635], [-0.0483]], "bitstrings": ["1010000000", "0000000000"], "total_optimization_steps": 10, "probabilities": [0.0016686243129953784, 0.0016686243129953788], "optimization_time": 3.535001754760742} | -1.5 * (Z(0) @ Z(2)) + -4.0 * (Z(3) @ Z(4)) + -3.0 * (Z(6) @ Z(4)) + -3.0 * (Z(6) @ Z(3)) + 1.5 * (Z(7) @ Z(4)) + -4.0 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + -3.0 * (Z(8) @ Z(4)) + -3.0 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 1.5 * (Z(1) @ Z(4)) + -4.0 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 1.5 ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-35.5, -35.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -34.5, "smallest_bitstrings": ["0000000000", "1010000000"], "largest_eigenvalue": 46.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
ry(0.10219392709245721) q[1];
h q[2];
h q[3];
ry(0.0016207216004930991) q[3];
h q[4];
ry(0.5489234061695667) q[4];
h q[5];
h q[6];
ry(0.7835359247864103) q[6];
h q[7];
cx q[7], q[3];
ry(-0.0016207216004930991) q[3];
cx q[7], q[3];
ry(0.09553748526711205... | 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[2], q[0];
rz(... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZZIII",
"IIIZIZIIII",
"IIIZIIZIII",
"IIZIIZIIII",
"IIZIIIZIII",
"IIZZIIIIII",
"IZIIIZIIII",
"IZIIIIZIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IIIIIZIIZI",
"IIIIIIZIZI",
"IIIZIIIIZI",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IIIIZZIIII",
"IIIIZIZIII",
"IIIZZIIIII",
"IIZIZIIIII"... | [
-1.5,
-4,
-3,
-3,
1.5,
-4,
0.5,
-3,
-3,
1,
0.5,
1.5,
-4,
0.5,
1.5,
0.5,
-4,
1.5,
0.5,
-3,
0.5,
-3,
-4,
1.5,
0.5,
-3,
0.5,
-3,
1.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.959483 | [
1.0978468123391334,
0.0032414432009861983,
1.5670718495728206,
0.9955536816639163,
0.1910749705342241,
1.4242420400955211,
-2.467659279276621,
0.20438785418491442,
0.43100903522010825,
3.1701257291437894,
0.0013328470735777874,
0.01343222121304146,
0.0036439344503582335,
0.0330668522892452... | {
"n_parameters": 82,
"n_qubits": 10,
"optimal_eigenvalue": -35.5,
"target_ratio": 0.97,
"target_value": -34.435
} | 500 |
519c34a92d635f5d0d1d5056f186a00b | 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": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "s... | {"states": [89, 125], "expectation_value": -6.212792521175443, "params": null, "bitstrings": ["110100110", "110000010"], "total_optimization_steps": 89, "probabilities": [0.19577680136292785, 0.41999232780177537], "optimization_time": 216.62742614746094} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(2)) + 1.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(2)) + -0.5 * (Z(8) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.25 * (Z(3) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000000", "100000010", "110000000", "110000010", "110100110", "110101110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.0505005019312091) q[0];
ry(0.028410891701922993) q[1];
ry(0.028410891701922993) q[2];
ry(-0.2921272247047445) q[3];
ry(0.10444384253869617) q[4];
ry(0.028410891701922993) q[5];
ry(-0.0505005019312091) q[6];
ry(0.07638954939930696) q[7];
ry(2.7679972102205896) q[8]... | 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(1.5486) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IZZIIIIII",
"IZIIIIZII",
"IIZIZIIII",
"IIIIZIZII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"IIZIIZIII",
"ZIIIIZIII",
"IIZZIIIII",
"IZIZIIIII",
"IIIZZIIII",
"IIIZIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIZIIIIII",
"... | [
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.75,
1.25,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
0.75,
0.5,
-0.25,
-0.5,
0.75
] | 0.974255 | [
-0.0505005019312091,
0.028410891701922993,
-0.2921272247047445,
0.10444384253869617,
0.07638954939930696,
2.7679972102205896,
-3.0978092855595905,
0.11907677866538086,
-0.059719361523734395,
0.04894987958156796,
0.09175757565966891,
0.06123634315340683,
0.08862005027616075,
0.4386087598522... | {
"n_parameters": 15,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 11 |
0f1d9308b8b1d06d30bfa4de6cbc9040 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [34, 56], "expectation_value": -1.8522790361152395, "params": [[-0.0737, -0.069, -0.0591, -0.0626], [0.0736, 0.07150000000000001, 0.0651, 0.0641]], "bitstrings": ["011101", "000111"], "total_optimization_steps": 10, "probabilities": [0.03305039731290355, 0.038228396421776896], "optimization_time": 4.76658582... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.5 * Z(4) + -1.0 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["000111"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.6230010565610689) q[0];
rz(0.06856754591903558) q[0];
rx(0.05228651755820995) q[1];
rz(0.2247192988641979) q[1];
rx(0.623001056561069) q[2];
rz(0.422733719531101) q[2];
rx(-0.04142085028007082) q[3];
rz(0.5561544826034971) q[3];
rx(0.03278011693440643) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"ZIZIII",
"ZIIIIZ",
"IIZIZI",
"IZZIII",
"ZZIIII",
"IZIIZI",
"IIZZII",
"ZIIZII",
"IZIZII",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IZIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
-0.5,
-1.5,
-1
] | 0.972312 | [
0.623001056561069,
0.312284130557242,
0.05228651755820995,
0.2247192988641979,
0.422733719531101,
-0.04142085028007082,
0.5561544826034971,
0.03278011693440643,
0.14994131830223134,
0.8695450938462626,
1.3203077449435106,
-0.04661008090570343,
0.2783265346359588,
0.09648654899272954,
1.0... | {
"n_parameters": 113,
"n_qubits": 10,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 27 |
ed46de376d1660326c9e503ea9950a07 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [1, 3], "expectation_value": -23.552382747296637, "params": [[[0.46190000000000003, 0.0013000000000000002], [1.3604, 0.0029000000000000002], [0.1862, 0.0059], [0.3835, 0.0083], [0.38280000000000003, 0.0068000000000000005], [1.599, 0.0074], [1.6092000000000002, 0.0025]]], "bitstrings": ["1111110", "1111100"],... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 1 | 7 | 1 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.06885345192683487) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.06885345192683487) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.06885345192683487) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.06885345192683487) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
-10,
-10,
-10.5,
-10,
-10,
-9.25,
-9.25
] | 0.975493 | [
0.06885345192683487,
0.22761518371396905,
1.6693107203407738,
1.8112030378322537,
-0.6694555841207032,
0.46345917959819155,
-0.0049250157682909634,
-0.1730709160346522,
0.046383083187558294,
-0.13700343575253615,
-0.6684023739074303,
1.0372311699561239,
0.5016828164711846,
0.47691842854795... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -31,
"target_ratio": 0.97,
"target_value": -30.07
} | 39 |
3bcfe4648282d1b3b76d6f42e87e5c5d | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [42, 44], "expectation_value": -2.4855536181869775, "params": [[[0.151, 0.0402], [0.4978, 0.0985], [0.4958, -0.31010000000000004], [0.5113, -0.24710000000000001], [0.5051, 0.4791], [-0.040600000000000004, 0.0668]], [[-0.22080000000000002, 0.24860000000000002], [0.49400000000000005, -0.0339], [0.5015000000000... | 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) | 15 | 6 | 3 | {"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... | OPENQASM 3.0;
include "stdgates.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",
"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 |
1482f4f5abcf5f1c29a93218e5aedf4b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, ... | {"states": [39, 3], "expectation_value": -1.7316765500274416, "params": [[0.06910000000000001, 0.0734, 0.0826], [-0.0636, -0.0618, -0.0766]], "bitstrings": ["11011000", "11111100"], "total_optimization_steps": 10, "probabilities": [0.011442294473456512, 0.01227171022752833], "optimization_time": 3.917154550552368} | -0.5 * (Z(0) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(7) + -1.25 * Z(3) + 0.25 * Z(4) + -0.5 * Z(2) + 1.0 * Z(5) + 1.5 * Z(6) | 1 | 8 | 3 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.75, "smallest_bitstrings": ["11011000", "11111100", "11111000"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.012185233531157788) q[0];
rz(-0.14371858576511087) q[0];
rx(0.007031030376359929) q[1];
rz(0.2897352875796022) q[1];
rx(0.03703295545914785) q[2];
rz(0.21538689773784236) q[2];
rx(0.018548456488674744) q[3];
rz(0.2631140417298812) q[3];
rx(-0.04106692929657757) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIIZZII",
"IIIZIZII",
"IIZIIZII",
"ZZIIIIII",
"IZIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIZIII",
"IIIZIIII",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.5,
0.75,
-0.5,
-1.5,
-0.25,
-0.25,
-1,
-1,
-0.5,
-0.5,
-0.25,
-0.25,
-1.25,
0.25,
-0.5,
1,
1.5
] | 0.985377 | [
-0.012185233531157788,
0.16024899196305356,
0.00703103037635993,
0.5162994626624118,
0.03703295545914786,
0.49809845414396875,
0.018548456488674744,
0.6519750213744733,
-0.04106692929657757,
0.5374198011724128,
0.14044029173835149,
0.12062919065026473,
0.705253149582738,
-0.118476525432784... | {
"n_parameters": 89,
"n_qubits": 8,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 3 |
bd450980ecb62a263062b6b855a443ea | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [31, 11], "expectation_value": -0.3773207703802018, "params": [[-0.0454, -0.0378], [0.055600000000000004, 0.047]], "bitstrings": ["1100000", "1110100"], "total_optimization_steps": 10, "probabilities": [0.010129116799986319, 0.010134298340411647], "optimization_time": 2.4022316932678223} | -1.0 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + -0.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(5) + -0.25 * Z(3) + -0.5 * Z(4) + 0.5 * Z(2) + 0.25 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["1110100", "1100100", "1100000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.8940808328512944) q[0];
h q[1];
ry(0.041756198791205276) q[1];
h q[2];
ry(-0.03032114105568228) q[2];
h q[3];
ry(0.4442013340719362) q[3];
h q[4];
h q[5];
ry(0.8884026681438724) q[5];
cx q[5], q[1];
ry(-0.041756198791205276) q[1];
cx q[5], q[1];
ry(-0.8557... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IZIIIIZ",
"IIIZIZI",
"IZIZIII",
"IIZIIZI",
"IZZIIII",
"IIZIZII",
"ZIIIIIZ",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIZIIII",
"IIIIZII",
"ZIIIIII"
] | [
-1,
-0.25,
-0.5,
-1,
-0.25,
-0.25,
-0.5,
1.5,
-1.25,
-0.75,
-0.25,
1,
-0.25,
-0.5,
0.5,
0.25
] | 0.971173 | [
0.8884026681438724,
1.622467847555487,
-1.7881616657025887,
0.08351239758241055,
-0.1298063569670014,
0.48401841381661614,
-0.06064228211136456,
0.4944845920735319,
-0.5239031451717074,
-0.8974703140323975,
-1.005223191000236,
0.8108085797164076,
1.648602767536483,
0.2412183790864333,
0.... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 83 |
d5044ef1657f01537b2cb9ba6c817668 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [203, 139], "expectation_value": -5.821240876578531, "params": [0.6059, -0.0028, 0.5136000000000001, -0.0089, 0.0046, 0.34740000000000004, 0.14250000000000002, 0.4338, 0.6095, 0.2061, -0.0015, 0.3292, 0.6077, 0.1039, 0.5424, -0.0392, 0.6068, -0.0026000000000000003, 0.5152, -0.0164, 0.0027, 0.3806, 0.1426, 0.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) ... | 3 | 8 | 3 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["00110101", "01110100"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.0755873773309208) q[0];
rz(0.137408130591973) q[0];
rx(0.08090562651420945) q[1];
rz(-0.15199323716814428) q[1];
rx(0.05260129396074322) q[2];
rz(0.4475970359870236) q[2];
rx(0.15938259290745058) q[3];
rz(0.38299500723889235) q[3];
rx(1.038539805577758) q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIZIIIIZ",
"IIIIIZZI",
"IIZIIIZI",
"ZIIIIZII",
"ZIZIIIII",
"ZIIIIIZI",
"IIIIZZII",
"IIZIZIII",
"IIIZIZII",
"IIZZIIII",
"IIIZZIII",
"IZIIIZII",
"IZZIIIII",
"IZIIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIIZIII",
"IIIZIIII",
"IZIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-0.5,
-2.5,
-1,
-1,
-1.5,
-1,
-1
] | 0.971822 | [
1.0755873773309206,
0.042975507473688404,
0.08090562651420943,
-0.013601676550730834,
0.05260129396074323,
0.584423819568658,
0.15938259290745055,
0.34496743820147713,
1.038539805577758,
-0.04082766441571967,
-0.13058963546917784,
0.3194943111954885,
0.9162300807864281,
0.02091610576019278... | {
"n_parameters": 67,
"n_qubits": 8,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 20 |
75e38f85452ebc08ee898a0ac8b18be5 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target"... | {"states": [252, 126], "expectation_value": -1.952027494355063, "params": null, "bitstrings": ["100000011", "110000001"], "total_optimization_steps": 78, "probabilities": [0.11524148036605318, 0.4593589650678186], "optimization_time": 216.49564051628113} | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 1 | 9 | 4 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 21, "first_excited_energy": -1.375, "smallest_bitstrings": ["000100110", "100000110", "0001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-1.5895904143898432) q[0];
ry(-0.061831462572773416) q[1];
rz(-pi) q[1];
ry(-3.1211665634162276) q[2];
rz(-pi) q[2];
ry(-0.05067198498523348) q[3];
rz(-pi) q[3];
h q[4];
ry(1.4339466124722804) q[4];
cx q[4], q[3];
ry(0.12544642904227837) q[3];
cx q[4], q[3];
... | 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(1.0342) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIZZIIIZ",
"IIZIZIIIZ",
"IIZZIIIIZ",
"IIZZZIIII",
"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.... | 0.997795 | [
-1.5895904143898432,
-1.4880487849715875,
-1.3946779127673847,
1.4339466124722804,
-0.25089285808455675,
0.23284724829810097,
0.08137959326879629,
-0.04183215850107143
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
b6acc179a4a15da3d535b4a626064489 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 4... | {"states": [0, 61], "expectation_value": -7.962241272551515, "params": [[[-0.0061, -0.0509], [-0.1444, -0.0067], [-0.0041, 0.0092], [-0.0027, -0.0029000000000000002], [-0.0004, -0.0025], [-0.0004, -0.1829], [0.007500000000000001, -0.0041]], [[-0.0053, 0.7072], [-0.1598, 0.0488], [-0.0, -0.012700000000000001], [-0.001, ... | -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + 0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + -0.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(6)) + -0.75 * Z(5) + -0.25 * Z(0) + 1.25 * Z(1) + 1.0 * Z(2) + -0.25... | 15 | 7 | 4 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["1000010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(0.3034667748162365) q[0];
ry(-0.07442258432305349) q[1];
ry(0.0687231461191891) q[2];
ry(-0.05385852511325843) q[3];
ry(0.147646440418712) q[4];
ry(0.147646440418712) q[5];
ry(-0.01142159409353806) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], 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": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"IZIIIZI",
"IIIIZZI",
"IZZIIII",
"IIZIZII",
"ZIIIIIZ",
"ZIIIZII",
"ZIZIIII",
"IIIZIZI",
"IIZZIII",
"ZIIZIII",
"IZIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII"
] | [
-0.5,
-0.5,
-1,
-0.25,
-0.75,
0.75,
-1.25,
-0.5,
-0.25,
-1.25,
-1.5,
-0.75,
-0.25,
1.25,
1,
-0.25,
-2.5,
1.5
] | 0.974572 | [
0.3034667748162365,
-0.07442258432305349,
0.0687231461191891,
-0.05385852511325843,
0.147646440418712,
-0.01142159409353806,
0.07066125296599378,
0.042559931842685965,
-0.013597990498522415,
-0.042688937240018016,
-0.02389108747559633,
-0.016411155865240244,
-0.14788340467558186,
-0.188696... | {
"n_parameters": 49,
"n_qubits": 7,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 39 |
-202939672514890062 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 3, 5, 6], [0, 1, 5, 6], [1, 2, 3, 4, 5, 6], [0, 2, 3]]} | {"states": [83, 87], "expectation_value": -0.9936197674869983, "params": null, "bitstrings": ["0101100", "0101000"], "total_optimization_steps": 37, "probabilities": [0.06539031045350968, 0.8477828299695791], "optimization_time": 44.31141400337219} | 0.25 * (Z(0) @ Z(3)) + 0.11666666666666667 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.11666666666666667 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.19999999999999998 * (Z(6) @ Z(5)) + 0.03333333333333333 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.11666666666666667 * (Z(1) @ Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.0333333333333332, -1.0333333333333332], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.033333333333333, "smallest_bitstrings": ["0010001", "0101000"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.469365930601189) q[0];
h q[1];
ry(-0.1297456655707251) q[1];
h q[2];
h q[3];
ry(-0.22280296185012644) q[3];
cx q[2], q[3];
ry(0.22280296185012644) q[3];
cx q[2], q[3];
ry(-0.19100132150028837) q[3];
ry(0.7814623598164631) q[2];
ry(-1.903010992477764) q[4];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.3603) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIZIIZ",
"IZIZIII",
"IZIIIIZ",
"ZIIZIII",
"ZIIIIIZ",
"ZZIIIII",
"IIIZIZI",
"IIIIIZZ",
"IZIIIZI",
"ZIIIIZI",
"IIIZZII",
"IIIIZIZ",
"IZIIZII",
"ZIIIZII",
"IIIIZZI",
"IIZZIII",
"IZZIIII",
"ZIZIIII",
"IIZIIZI",
"IIZIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"III... | [
0.25,
0.11666666666666667,
0.16666666666666666,
0.11666666666666667,
0.16666666666666666,
0.19999999999999998,
0.03333333333333333,
0.08333333333333333,
0.11666666666666667,
0.11666666666666667,
0.19999999999999998,
0.16666666666666666,
0.03333333333333333,
0.03333333333333333,
0.0333333... | 0.97108 | [
1.469365930601189,
0.7902880687335146,
0.3813718156711487,
-0.44560592370025287,
0.6020075398406564,
-0.38200264300057674,
0.35890963995161346,
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0.5260024219919203,
-0.3320337627343183,
0.31453351241349264,
0.2747077340485239,
-0.2594913311414502,
0.12574857782539786,
... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -1.0333333333333332,
"target_ratio": 0.97,
"target_value": -1.0023333333333333
} | 2 |
b1983a1e4f06f774f7ec1ed4bb689b87 | 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": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [3542, 1495], "expectation_value": -1.5922548280444366, "params": [[[0.4938, 0.2576], [0.5007, 0.2782], [0.36610000000000004, 0.2099], [0.5007, 0.12490000000000001], [0.29500000000000004, 0.3926], [0.5028, 0.36050000000000004], [-0.0262, 0.1678], [0.5023, 0.40240000000000004], [0.2871, 0.4822], [0.3252, 0.47... | 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(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 15 | 12 | 4 | {"smallest_eigenvalues": [-3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.9375, "smallest_bitstrings": ["010001101000", "001100100010", "001100100001", "010100100001",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-3.110890127013184) q[0];
rz(1.9029253204861867) q[0];
rx(-0.26867952655149685) q[1];
rz(0.8417665446110831) q[1];
rx(2.0510367682738306) q[2];
rz(1.955572682224596) q[2];
rx(2.921280890939064) q[3];
rz(2.025452591676391) q[3];
rx(0.03390849757045124) q[4];
rz(1.5179... | OPENQASM 3.0;
include "stdgates.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",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIIIZZIIZ",
"IIIIIIZIZIIZ",
"IIIIIIZZIIIZ",
"IIIIIIZZZIII",
"IIIIIIZZZIIZ",
"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,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,... | 0.982397 | [
3.1722951801664028,
0.33212899369129,
-0.2686795265514968,
-0.729029782183813,
2.0510367682738306,
0.38477635542969957,
2.921280890939064,
0.4546562648814948,
0.03390849757045123,
-0.05284710603833778,
-0.020333522141549626,
-0.024680036878463735,
0.16098021335982882,
-0.17881572502715487,... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 19 |
7137161140487166026 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 4, 9], [2, 4], [3, 6], [4, 5], [8, 7]]} | {"states": [979, 981], "expectation_value": -1.5577844924427158, "params": [[-0.9547], [0.39880000000000004]], "bitstrings": ["0000101100", "0000101010"], "total_optimization_steps": 100, "probabilities": [0.012128771171363231, 0.012128771171363231], "optimization_time": 2.5364601612091064} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(9) @ Z(1)) + 0.08333333333333333 * (Z(9) @ Z(0)) + 0.08333333333333333 * (Z(9) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + 0.12... | 1 | 10 | 1 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["0000101100", "0000101010", "0111010100", "0111010010", "1010011010", "0110... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.28058479795388985) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.28058479795388985) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.28058479795388985) q[4];
cx q[0], q[4];
h q[5];
h q[6];
cx q[6], q[3];
rz(-1.339546224... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(x0) q[4];
cx q[1]... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"IIIIIZIZII",
"IIIZIIZIII",
"IIIIZZIIII",
"IZZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIZIIII",
"ZIIIIIIIII",
"IIIIIIIZII",
"IIIZIIIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IZIIIIIIII"... | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0,
0,
0,
0,
0,
0
] | 0.759789 | [
-0.28058479795388985,
-1.339546224721946,
-0.6022843365060098,
0.02358012960000636,
0.7914359414096767
] | {
"n_parameters": 5,
"n_qubits": 10,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 134 |
7b9c246532208479e16ead07d0fd9661 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]} | {"states": [60859, 60855], "expectation_value": -16.196225420278296, "params": [1.0697, -0.0043, 1.0657, 0.0187, 0.6012000000000001, 0.28950000000000004, 0.49010000000000004, 0.2972, 1.0649, 0.0155, 1.061, 0.11180000000000001, 0.5256000000000001, 0.2952, 0.6007, 0.2541, 0.5819, 0.2942, 0.5486, 0.29450000000000004, 1.06... | 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(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(... | 18 | 16 | 3 | {"smallest_eigenvalues": [-20.00000000000009], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999876, "smallest_bitstrings": ["0001001001001000"], "largest_eigenvalue": 68.00000000000028} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(1.0361059844083795) q[0];
rz(0.2538864396112084) q[0];
rx(0.6189462132348078) q[1];
rz(-0.21762453154559475) q[1];
rx(0.6524000169646366) q[2];
rz(0.24446300716621922) q[2];
rx(-0.12421013628383518) q[3];
rz(0.2697688833504035) q[3];
rx(0.7337250473435663) 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... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 3}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIIIIZI",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIIZ",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
... | 0.971641 | [
1.0361059844083795,
0.04207048271458553,
0.6189462132348078,
-0.21762453154559475,
0.6524000169646366,
0.24446300716621922,
-0.12421013628383518,
0.2697688833504035,
0.7337250473435663,
0.10891100270157394,
0.9285896273892676,
0.30968646813099326,
0.08969789985041493,
0.30290502113283285,
... | {
"n_parameters": 183,
"n_qubits": 16,
"optimal_eigenvalue": -20.00000000000009,
"target_ratio": 0.97,
"target_value": -19.400000000000084
} | 24 |
4002e7c825d905d476562dd2a4250026 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [40, 85], "expectation_value": -0.2673161947442811, "params": [[-0.0349, -0.0375], [0.044500000000000005, 0.0483]], "bitstrings": ["1010111", "0101010"], "total_optimization_steps": 10, "probabilities": [0.008865503656651473, 0.009183393650952231], "optimization_time": 3.116802215576172} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -1.0 * Z(1) + -0.5 * Z(4) + -1.0 * Z(6) + 0.0 * Z(2) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0101010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-3.118507042708292) q[0];
ry(-0.025378205163912124) q[1];
rz(-pi) q[1];
h q[2];
ry(1.5301870592080595) q[2];
h q[3];
ry(-1.5175118545593271) q[3];
ry(-3.136360018442798) q[4];
rz(-pi) q[4];
cx q[2], q[4];
ry(0.01375238636405611) q[4];
cx q[2], q[4];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IZIZIII",
"IZIIIIZ",
"IZIIIZI",
"IIZZIII",
"IIZIIZI",
"ZIIZIII",
"ZZIIIII",
"ZIIIIZI",
"IIIZZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
-1,
-0.5,
-1,
0
] | 0.995154 | [
-1.5175118545593271,
-1.5974341158562466,
-1.4759827115175996,
1.5301870592080595,
1.5793160780119577,
-0.13887082022676997,
-0.02750477272811222,
0.24593010025788947,
0.12738975693667637,
0.06238370915205528,
-0.03190890137464023,
0.0074460703489463344
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
159369b6d44dd5ed6d0054f99b69fa7d | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 5}, {"source": ... | {"states": [127, 1023], "expectation_value": -1.345073671393132, "params": [[0.0711], [-0.0772]], "bitstrings": ["1110000000", "0000000000"], "total_optimization_steps": 10, "probabilities": [0.001764152591453798, 0.0018247629925405658], "optimization_time": 0.7406322956085205} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * Z(1) + 1.0 * Z(0) + 1.0 * Z(2) + 0.5 * Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.767103539741209) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.767103539741209) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-1.1395059324131687) q[1];
rx(-1.0351265956772986) q[1];
rz(-0.059546987447400786) 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[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[2];
rz(x0) q[2];
cx q[1]... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIZZIIIIII",
"IZZIIIIIII",
"IZIZIIIIII",
"ZIZIIIIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIZIIIIII"... | [
-2,
-2,
0.5,
-1.5,
-1.5,
-1.5,
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-1.5,
1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.601189 | [
-0.767103539741209,
-0.059546987447400786,
-1.1395059324131687,
-0.4999719799509475,
-1.0351265956772986
] | {
"n_parameters": 5,
"n_qubits": 10,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 160 |
-4352091911868120370 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 10], [0, 1, 10, 7], [3, 9, 11, 7], [8, 7], [10, 3], [8, 1, 3, 4], [9, 11, 5], [0, 8, 3], [1, 11, 6], [1, 10, 6], [0, 2], [0, 3, 6], [0, 10, 11, 5], [8, 6], [1, 2, 11, 4], [0, 8, 4], [0, 4, 5, 6], [8, 11, 2, 10], [5, 6, 7], [4, 7], [1, 5], [2, 5], [1, ... | {"states": [4013, 1965], "expectation_value": -5.3636475966607495, "params": [2.4025000000000003, 2.3991000000000002, 1.5721, 1.5746, 1.5732000000000002, 1.5704, 1.5670000000000002, 1.5708, 1.5710000000000002, 1.566, -0.0028, -0.0028, 1.5710000000000002, 1.5744, -0.003, -0.003, 1.5928, 1.5873000000000002, 1.5765, 1.569... | 0.5 * (Z(9) @ Z(10)) + 0.16666666666666666 * (Z(0) @ Z(10)) + 0.3333333333333333 * (Z(1) @ Z(10)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(10)) + 0.08333333333333333 * (Z(7) @ Z(9)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.5 * (Z(3) @ Z(10)) + 0.0833... | 13 | 12 | 1 | {"smallest_eigenvalues": [-5.833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.583333333333333, "smallest_bitstrings": ["100001010010"], "largest_eigenvalue": 20.500000000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(2.9592161153905816) q[0];
rz(0.32376430513802057) q[0];
ry(1.4547350873422125) q[1];
ry(1.6043680160212657) q[2];
ry(1.672237214611279) q[3];
ry(1.7404661328905218) q[4];
ry(-0.0613459739042754) q[5];
ry(1.7404661328905218) q[6];
ry(-0.05366759624859149) q[7];
ry(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZZIIIIIIIII",
"IZIIIIIIIIIZ",
"IZIIIIIIIIZI",
"IIIIIIIIIIZZ",
"IZIIZIIIIIII",
"IIZIZIIIIIII",
"IIIIZIIIIIIZ",
"IIIIZIIIIIZI",
"IZIIIIIIZIII",
"IIZIIIIIZIII",
"IIIIIIIIZIIZ",
"IIIIIIIIZIZI",
"IIIIZIIIZIII",
"ZZIIIIIIIIII",
"ZIZIIIIIIIII",
"ZIIIIIIIIIIZ",
"ZIIIIIIIIIZI",
"ZIIIZIIII... | [
0.5,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.5,
0.08333333333333333,
0.3333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.25,
0.08333333333333333,... | 0.972245 | [
2.9592161153905816,
1.4547350873422125,
1.6043680160212657,
1.672237214611279,
1.7404661328905218,
-0.0613459739042754,
-0.05366759624859149,
1.6962004477583097,
1.9028308950920894,
0.04988053929471398,
2.096773226679734,
0.6475286102760411,
-1.5994600722037315,
0.012750550052342746,
-1.... | {
"n_parameters": 42,
"n_qubits": 12,
"optimal_eigenvalue": -5.833333333333333,
"target_ratio": 0.97,
"target_value": -5.658333333333333
} | 7 |
148c98be54f48380a1d59caea5fb9c95 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 0, ... | {"states": [0, 1], "expectation_value": -18.27038187196615, "params": [0.0049, 0.1671, 0.0009000000000000001, 0.31120000000000003, 0.0033, -0.2987, 0.0022, 0.30710000000000004, 0.0019, 0.3121, 0.001, -0.2984, -0.0009000000000000001, 0.27290000000000003, 0.4032, 0.0064, 0.0011, 0.2506, 0.0067, 0.2766, 0.004, -0.3023, 0.... | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(0)) + -2.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3)... | 3 | 8 | 4 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.03939289528804486) q[0];
rz(0.6104138206589251) q[0];
rx(-0.00681563279887627) q[1];
rz(-0.9006858468689849) q[1];
rx(-0.021959365881757037) q[2];
rz(0.3356439632631911) q[2];
rx(0.03471226526304572) q[3];
rz(0.8790273908335049) q[3];
rx(-0.006815632798876268) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIZIIII",
"IZZIIIII",
"IIIIIZZI",
"IIIZIZII",
"IIZIIZII",
"IIIIZIZI",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IIIIZZII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIII... | [
-0.25,
-1.5,
-2.25,
-0.25,
-0.25,
-1,
-1.25,
-1.5,
-1.25,
-0.25,
-0.25,
-0.75,
-0.5,
-1.5,
-0.25,
-1,
-1,
3.5,
-0.5,
0.75,
-0.25,
0.5,
0,
-0.5,
0.25,
-3.75,
3
] | 0.976469 | [
-0.03939289528804486,
0.3056415618650099,
-0.006815632798876269,
-0.5864878321915629,
-0.021959365881757044,
0.5716771692755518,
0.03471226526304572,
0.731257367887284,
-0.33277460038548357,
-0.06527320802077959,
-0.4876274159857306,
-0.0662292616450873,
1.4837848577123118,
0.1080116767710... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 8 |
a45d6ae6e69be7b9100e050e2c1c25ce | 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": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 5, "target": 6}]} | {"states": [63, 62], "expectation_value": -11.524350668844423, "params": [[[-0.0024000000000000002, 3.1589], [0.0025, -0.0025], [0.0018000000000000002, 0.0022], [0.0024000000000000002, 0.002], [-1.6206, 0.0026000000000000003], [-0.0027, 0.0016]]], "bitstrings": ["000000", "000001"], "total_optimization_steps": 320, "pr... | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (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": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["000001"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.022263518565600816) q[0];
ry(0.07155617983145435) q[1];
ry(-0.16330528820847792) q[2];
ry(-0.10948378443023492) q[3];
ry(-2.1935690517759636) q[4];
ry(0.08996540150778848) 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] 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... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IIIZZI",
"IIIZIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZZIII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IIIZII",
"IZIIII",
"ZIIIII"
] | [
-2.5,
-2.5,
-1.5,
-2.5,
0.5,
0.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.972699 | [
-0.022263518565600816,
0.07155617983145435,
-0.16330528820847792,
-0.10948378443023492,
-2.1935690517759636,
0.08996540150778848,
3.0337309880292636,
0.007833842741819877,
-0.04041463688513079,
-0.00938795108275202,
-0.07091216889380043,
0.0467434770062696
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 10 |
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