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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1735102314025486566 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 4], [0, 1], [0, 2], [1, 3]]} | {"states": [13, 18], "expectation_value": -0.043580390647696726, "params": [[-0.07780000000000001], [0.0713]], "bitstrings": ["10010", "01101"], "total_optimization_steps": 10, "probabilities": [0.034016810573382815, 0.034016810573382815], "optimization_time": 0.8223912715911865} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["10010", "01101"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.8840200948261884) q[0];
cx q[4], q[0];
cx q[0], q[1];
rz(-0.8840200948261884) q[1];
cx q[0], q[1];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.8840200948261884) q[2];
cx q[0], q[2];
rz(-2.457715897463686e-08) q[0];
rx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(x0) q[3];
cx ... | null | {"circuits": [], "gradients": []} | [
"ZIIIZ",
"IIIZZ",
"IIZIZ",
"IZIZI",
"ZIIII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.52914 | [
-0.8840200948261884,
-2.4577159159931603e-8,
0.7853980956785886
] | {
"n_parameters": 3,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 89 |
e5362bdf5e727045ae0e3b514af6e6e2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [44, 29], "expectation_value": -9.606446295553516, "params": null, "bitstrings": ["010011", "100010"], "total_optimization_steps": 43, "probabilities": [0.10828730374394173, 0.8327087190411567], "optimization_time": 28.73716115951538} | -0.25 * (Z(0) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(5)) + 1.25 * Z(2) + -0.25 * Z(0) + -2.5 * Z(4) + 0.0 * Z(1) + -0.5 * Z(5) + 2.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["100010"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6613510471018691) q[0];
h q[1];
ry(0.6363557243035431) q[1];
h q[2];
ry(0.8762410042703717) q[2];
h q[3];
ry(1.5797614988899453) q[3];
h q[4];
ry(-1.3227020942037382) q[4];
h q[5];
cx q[5], q[0];
ry(0.6613510471018691) q[0];
cx q[5], q[0];
ry(-0.1472698311... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IZIIZI",
"ZIIIIZ",
"ZIIIZI",
"IIZZII",
"IIZIZI",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"ZIIIII",
"IIZIII"
] | [
-0.25,
-1,
-1.25,
-0.75,
1.75,
-1,
-0.5,
-1.25,
-1.25,
1.25,
-0.25,
-2.5,
0,
-0.5,
2
] | 0.973802 | [
-1.3227020942037382,
1.5797614988899453,
1.7411868845926435,
-0.2945396623583815,
1.2727114486070863,
0.4993285531882329,
1.7524820085407433,
-0.23870673944423812,
-0.4358087178782579,
0.06835119046574256,
-0.27794874849023343,
-0.29686600510111416,
0.5459314081296203,
-0.5128761408398687,... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 64 |
04943d12be9331cc9245456617bb8845 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "source": 3, "target": 2}, {"capaci... | {"states": [220, 958], "expectation_value": -25.25465899163168, "params": null, "bitstrings": ["1111100100011", "1110001000001"], "total_optimization_steps": 100, "probabilities": [0.07078627321040105, 0.4572531585542735], "optimization_time": 345.2128827571869} | -1.0 * (Z(10) @ Z(3)) + -2.0 * (Z(11) @ Z(3)) + 2.0 * (Z(11) @ Z(10)) + 2.0 * (Z(4) @ Z(5)) + -1.0 * (Z(0) @ Z(5)) + -0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(10)) + -1.0 * (Z(6) @ Z(11)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 1.0 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(10))... | 1 | 13 | 3 | {"smallest_eigenvalues": [-30.5, -30.5, -30.5, -30.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -30.25, "smallest_bitstrings": ["1111000010100", "1110001000001", "1110000010000", "1111001000101"], "largest_eigenvalue": 79.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(2.756448642387936) q[4];
rz(-pi) q[5];
ry(-1.4071951647766399) q[5];
h q[6];
ry(1.5747373492012693) q[6];
cx q[6], q[5];
ry(0.47977392536284186) q[5];
cx q[6], q[5];
ry(-0.018776860890256552) q[5];
cx q[0], q[5];
ry(0.01877686... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] 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];\nh q[12];\nry(-2.4156) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = mea... | [
"IIZIIIIIIZIII",
"IZIIIIIIIZIII",
"IZZIIIIIIIIII",
"IIIIIIIZZIIII",
"IIIIIIIZIIIIZ",
"IIIIIIIIZIIIZ",
"IIIIIIZIIZIII",
"IIZIIIZIIIIII",
"IZIIIIZIIIIII",
"IIIIIIZZIIIII",
"IIIIIIZIZIIII",
"IIIIIIZIIIIIZ",
"IIIIIZIIIZIII",
"IIZIIZIIIIIII",
"IZIIIZIIIIIII",
"IIIIIZIZIIIII",
"IIIIIZIIZII... | [
-1,
-2,
2,
2,
-1,
-0.5,
0.5,
-0.5,
-1,
1,
0.5,
-0.5,
1,
-1,
-2,
2,
1,
-1,
2,
1,
0.5,
-0.5,
0.5,
1,
2,
1,
-1,
1,
2,
1,
-0.5,
0.5,
1,
-0.5,
-1,
-0.25,
-1,
1,
2,
11,
5.5,
-4.125,
4,
8,
4,
8,
0,
-0.75,
-0.375
] | 0.971122 | [
-2.4982175662086945,
-1.2959791973212518,
10.693477959740283,
2.756448642387936,
1.5747373492012693,
-0.9595478507256837,
-0.037553721780513104,
-0.09233073908691143,
0.3924196282534974,
0.01592015931431091,
0.17530178727681012,
-0.09689234899048765,
0.07372477176280937,
0.0220347731740424... | {
"n_parameters": 84,
"n_qubits": 13,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 96 |
eea3b85f6c338196bfcd99350b0e2d9a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [69, 73], "expectation_value": -5.496515641776567, "params": null, "bitstrings": ["0111010", "0110110"], "total_optimization_steps": 28, "probabilities": [0.06700895329615963, 0.9297461640982619], "optimization_time": 20.92291808128357} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -2.0 * Z(2) + -2.0 * Z(5) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["0110110", "1010110", "0111010"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(3.164147526782816e-09) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(3.164147526782816e-09) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(3.164147526782816e-09) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(3.164147526782816e-09) 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(-1.5708) 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[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IZIIIIZ",
"IZIIZII",
"IIZIIZI",
"IZZIIII",
"IIIZZII",
"IZIZIII",
"IIZZIII",
"ZIIIZII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"IIIZIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-2,
-2,
-1,
-1,
-0.5
] | 0.757576 | [
3.164147526782816e-9,
0.3398368793410832,
1.5707963369699605,
-1.5707963464211774,
1.57079635772165
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 162 |
533fcd480a5175680493f52fe07173d6 | 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": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [1, 37], "expectation_value": -4.213400902765517, "params": [[-0.07640000000000001, -0.0785, -0.0839], [0.0688, 0.0702, 0.0753]], "bitstrings": ["11111110", "11011010"], "total_optimization_steps": 10, "probabilities": [0.01746796515730951, 0.018041109582336554], "optimization_time": 8.402590990066528} | -1.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(2)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["11011010"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.24633714219781486) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.21817790403825055) q[4];
cx q[0], q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(0.21817790403825055) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], q[3];
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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IZIZIIII",
"IIIIZIZI",
"IIIIIZZI",
"IIIZIZII",
"IZIIIZII",
"IIZIZIII",
"IIZIIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIZIII",
"IIIIIZII",
"IIZIIIII",
"ZIIIIIII"
] | [
-1.25,
-0.25,
-0.25,
-0.5,
-1.5,
-0.25,
-1.5,
-0.75,
-0.75,
-0.75,
-1.25,
2.25,
-0.25,
-1,
-2.25,
-0.25,
0.5,
-1.5,
-1,
3,
0.5,
1
] | 0.970078 | [
0.24633714219781486,
0.21817790403825055,
0.199992130079758,
0.1953546771601644,
-0.14097260777717124,
-0.07642561716032488,
0.30474345781691703,
0.6989900081918277,
0.16619846372059824,
-0.778933966788156,
-0.9833885279660904,
1.522204508836878,
0.4784825986818201,
0.33645844578145834,
... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 312 |
f633ba6dc718e85c60c8fced247d835c | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "... | {"states": [127, 511], "expectation_value": -16.60763120914837, "params": null, "bitstrings": ["111110000000", "111000000000"], "total_optimization_steps": 100, "probabilities": [0.12577789810380816, 0.4612693577254091], "optimization_time": 217.37716245651245} | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(9)) + 0.5 * (Z(10) @ Z(9)) + -2.0 * (Z(10) @ Z(8)) + 0.5 * (Z(11) @ Z(9)) + -2.0 * (Z(11) @ Z(8)) + 0.5 * (Z(11) @ Z(10)) + -1.5 * Z(1) + -1.5 *... | 1 | 12 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["111000000000"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rz(-pi) q[0];
ry(-0.07675510109022719) q[0];
h q[1];
ry(-1.6040782714380388) q[1];
h q[2];
ry(-1.6040782714380388) q[2];
h q[3];
h q[4];
ry(0.857128409389992) q[4];
cx q[3], q[4];
ry(-0.857128409389992) q[4];
cx q[3], q[4];
ry(0.5677764547137902) q[3];
cx q[4], q[3];
r... | null | {"node": 0} | {"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(-1.5708) 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];... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZZIII",
"IIIIIZZIIIII",
"IIIIZZIIIIII",
"IIIIZIZIIIII",
"IIZZIIIIIIII",
"IZZIIIIIIIII",
"IZIZIIIIIIII",
"ZIZIIIIIIIII",
"ZIIZIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIZIIII",
"IIIIIIIIZ... | [
-2,
1,
-2,
-1,
-1.5,
-1.5,
0.5,
-2,
0.5,
-2,
0.5,
-2,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970648 | [
-1.6040782714380388,
-1.6909962722501932,
0.008970991932876447,
0.9586281082110778,
0.3198831356019224,
1.6924710636700977,
1.1787966309162115,
0.05623212244519026,
0.8978821806139383,
-0.029813623038007248,
1.5204705232072888,
1.714256818779984,
1.1355529094275805,
-0.18985043178734073,
... | {
"n_parameters": 59,
"n_qubits": 12,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 227 |
f20b14ccaf46fd91ed39b9c05edbe906 | kclique | qaoa | {"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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target"... | {"states": [6, 9], "expectation_value": -3.310807402856821, "params": [[-0.0786, -0.0659], [0.07970000000000001, 0.07]], "bitstrings": ["11001", "10110"], "total_optimization_steps": 10, "probabilities": [0.05669332415076523, 0.05669332415076525], "optimization_time": 2.3336429595947266} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (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) + -3.0 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 16 | 5 | 2 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "11001", "10110"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h ... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
1.75,
1.75,
1.75,
2,
2,
-2.75,
-3,
-2.75,
-2.5,
-2.5
] | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
0203f7c837f2f7b281916c25ef227a97 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 4, "... | {"states": [2047, 1023], "expectation_value": -1.0915040681708703, "params": [[0.0796], [-0.08700000000000001]], "bitstrings": ["100000000000", "110000000000"], "total_optimization_steps": 10, "probabilities": [0.00044095081072776125, 0.00044210243695793467], "optimization_time": 2.1654131412506104} | 0.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(8) @ Z(11)) + 0.5 * (Z(9) @ Z(11)) + -2.0 * (Z(10) @ Z(11)) + 0.5 * (Z(10) @ Z(8)) + -1.5 * (Z(10) @ Z(9)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(4) + 0.... | 1 | 12 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["110000000000"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.486838275840335) q[0];
cx q[1], q[0];
rz(-1.828857024366937) q[0];
rx(-2.137850815569654) q[0];
rz(-1.828857024366937) q[1];
rx(-2.137850815569654) q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(0.89857661693128) q[2];
cx q[4], q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[4], q[2];
rz... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIIIZZII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIIIZZIIIII",
"ZIIZIIIIIIII",
"ZIZIIIIIIIII",
"ZZIIIIIIIIII",
"IZIZIIIIIIII",
"IZZIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIZIIII",
"IIIIIIIIIZII",
"IIIIIIIIZIII",
"IIIIZIIII... | [
0.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
-1.5,
0.5,
-2,
0.5,
-1.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.580164 | [
0.486838275840335,
0.89857661693128,
0.8107688258660057,
-1.8288570243669373,
-2.137850815569654
] | {
"n_parameters": 5,
"n_qubits": 12,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 153 |
e91a01b38119efcb59e125ef6c2859d5 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [837, 901], "expectation_value": -134.6214776088297, "params": [[0.08310000000000001, -0.0323, 0.29660000000000003, 0.7426, 0.7045, 0.3103, 0.0028, 0.0011, -0.0882, 0.8739, -0.0066, 0.7995], [-0.1178, -0.0565, 1.4265, 1.5779, 0.7692, 0.0128, 0.0028, 0.0025, -0.06470000000000001, 0.8160000000000001, 0.0002, 0... | 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(5) @ Z(2)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(3) @ Z(5)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(8) @ Z(3)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(0) @ Z(9)) + 8.0 * (Z(11) @ Z(9)) + 8.0 * (Z(11) @ Z(0)) + 8.0 * (Z(10) @ Z(11)) + 7.5 * Z(2) + -4.5 * Z(1) + 12.5 * Z(5) + 8.0 * Z(4) + 14.5 * Z(3) + 4.0 * ... | 10 | 12 | 3 | {"smallest_eigenvalues": [-138.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -131.0, "smallest_bitstrings": ["110001111010"], "largest_eigenvalue": 192.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.17252140151324613) q[0];
ry(0.019502523970652677) q[1];
ry(0.2359610127728513) q[2];
ry(0.9041871145473721) q[3];
ry(0.9237366107099126) q[4];
ry(0.14900641171131115) q[5];
ry(-0.04946751529486239) q[6];
ry(-0.052856690396939604) q[7];
ry(-0.1767750424715388) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIZIIZII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIIIZZIII",
"IIIZIIIIZIII",
"IIZZIIIIIIII",
"IIZIIIIIIIIZ",
"ZIZIIIIIIIII",
"ZIIIIIIIIIIZ",
"ZZIIIIIIIIII",
"IIIIIIIIIZII",
"IIIIIIIIIIZI",
"IIIIIIZIIIII",
"IIIIIIIZIIII",
"IIIIIIIIZIII",
"IIIZIIIIIIII",
"IIZIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
7.5,
-4.5,
12.5,
8,
14.5,
4,
16,
3.5,
17,
-4.5,
-15,
-15
] | 0.974735 | [
0.17252140151324613,
0.019502523970652677,
0.2359610127728513,
0.9041871145473721,
0.9237366107099126,
0.14900641171131115,
-0.04946751529486239,
-0.052856690396939604,
-0.1767750424715388,
0.8289811365680652,
0.06809176481023259,
0.834957892048523,
-0.11351348242026016,
-0.111528223297482... | {
"n_parameters": 45,
"n_qubits": 12,
"optimal_eigenvalue": -138,
"target_ratio": 0.97,
"target_value": -133.85999999999999
} | 4 |
0f435eed505f807fb8dc44643dfd43ce | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 22, "source": 0, "target": 2}, {"weight": 25, "source": 0, "target": 3}, {"weight": 2, "source": 1, "target": 2}, {"weight": 24, "source":... | {"states": [171, 427], "expectation_value": -4.085960184140463, "params": [[[1.6191, 0.006200000000000001, 0.0038, 0.003], [0.3602, -0.0035, 1.5151000000000001, 0.0081], [-0.0018000000000000002, 0.0039000000000000003, 0.008400000000000001, 0.0034000000000000002], [0.6907, 0.0025, 1.2218, 0.0014], [0.0021000000000000003... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 12 | 9 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.366669122515066) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.366669122515066) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.366669122515066) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.366669122515066) q[3];
cx q[0], q[3];
h q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.608376 | [
0.366669122515066,
0.6186240853904678,
-0.8045916182441789
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 106 |
1048579445710433945 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 5], [1, 2, 4], [0, 1, 3, 4], [0, 2, 4], [1, 2, 5], [0, 2, 3], [2, 3, 4, 5], [1, 2, 3]]} | {"states": [23, 15], "expectation_value": -0.9748152556510343, "params": [[0.2732], [-0.2684]], "bitstrings": ["101000", "110000"], "total_optimization_steps": 30, "probabilities": [0.0328811841992356, 0.03386130550233577], "optimization_time": 1.1086909770965576} | 0.5 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.25 * (Z(2) @ Z(5)) + 0.3333333333333333 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(4) @ Z(1)) + 0.41666666666666663 * (Z(4) @ Z(2)) + 0.0833333333333333... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.3333333333333326], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.083333333333334, "smallest_bitstrings": ["110000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(2.094395216495891) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(3.36463400651527e-08) q[1];
cx q[5], q[1];
cx q[0], q[1];
rz(2.21198461242424e-08) q[1];
cx q[0], q[1];
cx q[5], q[2];
rz(-3.36157144641702e-08) 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;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"ZIIIIZ",
"ZIIIZI",
"IIIIZZ",
"ZIIZII",
"IIIZIZ",
"IIIZZI",
"ZZIIII",
"IZIIIZ",
"IZIIZI",
"IZIZII",
"ZIZIII",
"IIZIIZ",
"IIZIZI",
"IIZZII",
"IZZIII",
"ZIIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IZIIII",
"IIZIII"
] | [
0.5,
0.16666666666666666,
0.08333333333333333,
0.25,
0.3333333333333333,
0.5,
0.08333333333333333,
0.25,
0.25,
0.41666666666666663,
0.08333333333333333,
0.25,
0.25,
0.41666666666666663,
0.16666666666666666,
0.29166666666666663,
0.4583333333333335,
0.6250000000000001,
0.9583333333... | 0.875 | [
2.094395216495891,
3.36463400651527e-8,
2.21198461242424e-8,
-3.36157144641702e-8,
-1.1001190322254626e-9,
5.89482149558883e-8,
-1.5707963589446836,
1.5707962342009363,
-1.5707963016823383,
1.570796359367738,
1.5707964064370672,
-1.5707962928782853
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -2.3333333333333326,
"target_ratio": 0.97,
"target_value": -2.2633333333333328
} | 318 |
dc8ac5f82febba9dcace181eb5c76eb3 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": ... | {"states": [22, 21], "expectation_value": -0.12491977677717131, "params": [[-0.0659], [0.0649]], "bitstrings": ["101001", "101010"], "total_optimization_steps": 10, "probabilities": [0.01698699350484751, 0.0172407718156503], "optimization_time": 1.0830411911010742} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["101001", "101010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.009159858931667007) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.009159858931667007) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.009159858931667007) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.009159858931667007) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"ZIIZII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-0.5,
-0.5,
0
] | 0.813356 | [
0.009159858931667007,
0.12494940013551502,
-0.9996743752342083,
-1.0785898614158156,
0.2672658208067165,
1.0891742212764537,
-1.2802161128055969,
0.024697662159371404,
0.6853541264808383,
-0.33614577142982505,
-0.6001841465958335,
0.46393008337570263,
0.1161236905431224,
-0.536284086667138... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 415 |
0cfc31894cbb21dc81348893cd71afd2 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": ... | {"states": [0, 1023], "expectation_value": -38.12716063756375, "params": [[[0.0026000000000000003, 1.6028], [0.0021000000000000003, 0.0028], [0.0038, 0.0024000000000000002], [-0.0019, -0.0025], [0.003, 0.0023], [0.0033, -0.003], [0.0021000000000000003, 0.0024000000000000002], [0.0024000000000000002, 0.002], [0.002, 0.0... | -1.5 * (Z(0) @ Z(2)) + -2.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -3.5 * (Z(6) @ Z(3)) + -3.0 * (Z(7) @ Z(5)) + -3.0 * (Z(7) @ Z(3)) + 1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(7)) + 1.0 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(3)) + -3.5 * (Z(8) @ Z(6)) + -4.0 ... | 15 | 10 | 1 | {"smallest_eigenvalues": [-42.0, -42.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -41.0, "smallest_bitstrings": ["0000000000", "1010000000"], "largest_eigenvalue": 34.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.08513743038990779) q[0];
ry(-0.053578177845580416) q[1];
ry(0.3120033643452013) q[2];
ry(0.14622341637480057) q[3];
ry(-0.16039183569624163) q[4];
ry(-0.2111402885996337) q[5];
ry(-0.053578177845580416) q[6];
ry(-0.0051925129142067275) q[7];
ry(-0.080206811765537... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIZIZIII",
"IIIZZIIIII",
"IIIZIIZIII",
"IIZIZIIIII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIIIZZIIII",
"IIIIIZZIII",
"IIIZIZIIII",
"IIZIIZIIII",
"IZIIZIIIII",
"IZIIIIZIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IZIIIZIIII",
"ZIIIZIIIII",
"ZIIIIIZIII",
"ZIIZIIIIII",
"ZIZIIIIIII"... | [
-1.5,
-2.5,
0.5,
-3.5,
-3,
-3,
1.5,
0.5,
0.5,
-3,
1,
1,
1,
-3.5,
-4,
-3,
-3,
0.5,
1,
1,
-3,
-3.5,
0.5,
1,
-3,
-3.5,
-3,
-3,
1,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.973285 | [
-0.08513743038990779,
-0.053578177845580416,
0.3120033643452013,
0.14622341637480057,
-0.16039183569624163,
-0.2111402885996337,
-0.0051925129142067275,
-0.08020681176553726,
-0.08425302473866397,
3.23705889083263,
-0.04280075016301067,
-0.12084888609405003,
0.03161345905161249,
-0.0815692... | {
"n_parameters": 15,
"n_qubits": 10,
"optimal_eigenvalue": -42,
"target_ratio": 0.97,
"target_value": -40.74
} | 25 |
-5827114139241996103 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 7], [8, 0, 6, 7], [0, 2], [2, 3, 4], [8, 1, 4, 7], [3, 4, 5, 7], [1, 6, 7], [0, 1, 4, 6], [8, 3, 4, 6], [2, 3, 6], [1, 3, 4, 7], [2, 5], [8, 5], [0, 1, 3, 6], [8, 2, 6]]} | {"states": [213, 318], "expectation_value": -1.5162270438524141, "params": [[0.2441], [-0.23670000000000002]], "bitstrings": ["100101010", "011000001"], "total_optimization_steps": 30, "probabilities": [0.00564812820635099, 0.005801198534929487], "optimization_time": 4.4451682567596436} | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.49999999999999994 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.08333333333333333 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.916666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.8333333333333326, "smallest_bitstrings": ["011000001"], "largest_eigenvalue": 13.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-1.699434390795261e-08) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(-8.16349686190158e-09) q[6];
cx q[2], q[6];
cx q[2], q[3];
rz(-8.16349686190158e-09) q[3];
cx q[2], q[3];
cx q[2], q[5];
rz(-1.699434... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIZZI",
"IZIIIIZII",
"IZIIIIIZI",
"ZIIIIIZII",
"ZIIIIIIZI",
"ZZIIIIIII",
"IIIIIIZIZ",
"IIIIIIIZZ",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"IIZIIIZII",
"IIZIIIIZI",
"IZZIIIIII",
"ZIZIIIIII",
"IIZIIIIIZ",
"IIIIIZZII",
"IIIIIZIZI",
"IZIIIZIII",
"ZIIIIZIII",
"IIIIIZIIZ",
"IIZIIZIII",
"... | [
0.16666666666666666,
0.16666666666666666,
0.49999999999999994,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.3333333333333333,
0.3333333333333333,
0.25,
0.3333333333333333,
0.25,
0.3333333333333333,
... | 0.957447 | [
6.597404640945247e-10,
-1.699434390795261e-8,
-4.2644625118297634e-9,
-8.16349686190158e-9,
-5.935045754071953e-8,
-6.313317193100479e-8,
1.5707963066624326,
1.5707962764079324,
1.570796304400706,
-1.570796214768405,
-1.5707963595505186,
-1.570796216747592,
-1.570796337994968,
-1.570796316... | {
"n_parameters": 14,
"n_qubits": 9,
"optimal_eigenvalue": -3.916666666666667,
"target_ratio": 0.97,
"target_value": -3.799166666666667
} | 409 |
-9187079030571137768 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[5, 7], [0, 1], [8, 1], [12, 4], [0, 11], [6, 7], [1, 11], [10, 6], [11, 4], [1, 12], [12, 7], [12, 5], [8, 7], [10, 12], [0, 10], [3, 12], [11, 12], [10, 7], [10, 3], [9, 7], [2, 6], [8, 11], [8, 6], [9, 2], [5, 6], [3, 11], [8, 4], [9, 10], [2, 11],... | {"states": [4159, 4155], "expectation_value": -1.3499548211617463, "params": [0.8622000000000001, 0.9031, 0.5331, 0.5542, 0.5655, 0.5741, 0.4824, 0.49210000000000004, 0.4776, 0.5175000000000001, 0.5653, 0.5957, 0.5481, 0.5593, 0.8555, 0.894, 0.9796, 0.9803000000000001, 0.8280000000000001, 0.9797, 0.7214, 0.6725, 0.9954... | 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(12) @ Z(7)) + 0.5 * (Z(12) @ Z(5)) + 0.5 * (Z(12) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(12)) + 0.5 * (Z(11) @ Z(1)) + 0.5 * (Z(11) @ Z(0)) + 0.5 * (Z(11) @ Z(8)) + 0.5 *... | 14 | 13 | 1 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -7.0, "smallest_bitstrings": ["0111101000100", "0111101100100", "0110101100100", "1001001011001", "0110110100110", "1001011011001", "0110100100110"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.4112604638219033) q[0];
rz(pi/2) q[0];
ry(0.02143925793660313) q[1];
ry(0.18863728024072687) q[2];
ry(0.025382407118622476) q[3];
ry(1.0619122459442623) q[4];
ry(0.33050775902927) q[5];
ry(-0.047997868826632754) q[6];
ry(1.2731850789169823) q[7];
ry(1.573496334822... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIZIZIIIII",
"IIIIIIIIIIIZZ",
"IIIIZZIIIIIII",
"IIIIZIIZIIIII",
"IIIIZIIIIIIZI",
"ZIIIIZIIIIIII",
"ZIIIIIIZIIIII",
"ZIIIIIIIIIIZI",
"IIIIIIIZZIIII",
"IIIIZIIIZIIII",
"ZIIIIIIIZIIII",
"IZIIIIIIIIIZI",
"IZIIIIIIIIIIZ",
"IZIIZIIIIIIII",
"ZZIIIIIIIIIII",
"IZIIIIIIZIIII",
"IIIIIZZIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,... | 0.970268 | [
1.4112604638219033,
0.02143925793660313,
0.18863728024072687,
0.025382407118622476,
1.0619122459442623,
0.33050775902927,
-0.047997868826632754,
1.2731850789169823,
1.5734963348228548,
1.6968375930294712,
0.5455634617325462,
1.2802646827559554,
1.0754413359417112,
0.8534326099493782,
0.2... | {
"n_parameters": 51,
"n_qubits": 13,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 66 |
f69f02979a3dd856d2f0528e75cb43d5 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 13, "source": 0, "target": 4}, {"weight": 11, "source": 1, "tar... | {"states": [398, 236], "expectation_value": -9.83188491564899, "params": [[-0.0211, -0.0362], [0.032100000000000004, 0.058300000000000005]], "bitstrings": ["001110001", "100010011"], "total_optimization_steps": 10, "probabilities": [0.004542292615440587, 0.005222645375680116], "optimization_time": 6.5881524085998535} | 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(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 17.5 * Z(1) + 5.0 * Z(0) + 15.5 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 139.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.08508383351244203) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.08508383351244203) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.08508383351244203) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.08508383351244203) q[3];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"IZIIIIZII",
"IZIIIZIII",
"IZZIIIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
17.5,
5,
15.5,
5.5,
8.5,
7.5,
16,
7,
-1.5
] | 0.970868 | [
-0.08508383351244203,
1.6352305149813327,
-1.5608456141352538,
1.4841041323195372,
1.729954073718733,
-1.2806005076562406,
1.449339560603237,
1.3519850224932846,
-1.3624678173902445,
-1.6502802957065026,
-1.6249373051283424
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -74.5,
"target_ratio": 0.97,
"target_value": -72.265
} | 36 |
9b6c90aee56ab84919f7c826e678a024 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [3, 9], "expectation_value": -7.123170061706766, "params": null, "bitstrings": ["11100", "10110"], "total_optimization_steps": 29, "probabilities": [0.1405844083484402, 0.6434159405450673], "optimization_time": 23.505764722824097} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -2.75 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 18 | 5 | 1 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "10110"], "largest_eigenvalue": 31.5} | 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 | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5709) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
1.75,
2,
2,
1.75,
2,
-2.5,
-2.75,
-3,
-2.5,
-2.25
] | 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 |
f9cb41d5496b3ed030d08192c7626a1d | 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": [303, 55], "expectation_value": -17.048090692663635, "params": [[0.005, 0.0033, -0.0044, 0.0034000000000000002, 0.0049, -0.2364, 1.1420000000000001, 0.7297, 0.0014, 1.0909], [-0.0031000000000000003, 0.0022, 0.0034000000000000002, 0.0004, 0.0053, 0.008700000000000001, -0.0079, 0.0013000000000000002, 0.7362000... | 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(0) @ Z(7)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(9) @ Z(7)) + 7.0 * (Z(9) @ Z(0)) + 7.0 * (Z(9) @ Z(8)) + 4.5 * Z(3) + 8.5 * Z(4) + 8.0 * Z(5) + 2.5 * Z(6) + 13.0 * Z(7) + 11.0 * Z(0) + 17.0 * Z(8) + 12.5 *... | 9 | 10 | 4 | {"smallest_eigenvalues": [-90.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -87.5, "smallest_bitstrings": ["1111001000"], "largest_eigenvalue": 168.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(0.17689676348295683) q[0];
h q[0];
rx(-1.4607229867... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZIII",
"IIIIZIZIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIZIIIIIIZ",
"IZZIIIIIII",
"IZIIIIIIIZ",
"ZIZIIIIIII",
"ZIIIIIIIIZ",
"ZZIIIIIIII",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IIIIIIIIIZ",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIZII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
4.5,
8.5,
8,
2.5,
13,
11,
17,
12.5,
-9.5,
-12
] | 0.232044 | [
0.17689676348295683,
-1.4607229867073202e-7,
0.09078299340420398,
-2.3174891530202286e-7,
-0.27877628821417544,
-4.743988959568662e-7,
1.570796407914766,
0.936733132351216,
-0.000001039692320622943,
1.2672240611660714,
0.0000021525304946552194,
-0.09078328626420283,
-0.2062517335982132,
0.... | {
"n_parameters": 35,
"n_qubits": 10,
"optimal_eigenvalue": -90.5,
"target_ratio": 0.97,
"target_value": -87.785
} | 500 |
b2f3c7c6f0d569b26aa5b37b6f864ae9 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3},... | {"states": [2047, 1983], "expectation_value": -0.21177804436050848, "params": [[0.0262], [-0.032100000000000004]], "bitstrings": ["00000000000", "00001000000"], "total_optimization_steps": 10, "probabilities": [0.0005428268844748473, 0.0005446499410713395], "optimization_time": 3.0401084423065186} | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + -2.0 * (Z(10) @ Z(8)) + -2.0 * (Z(10) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0... | 1 | 11 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["00001000000"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.7971580737352716) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.06922539707563155) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.7971580737352716) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-1.1443970926578568) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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];
cx q[1], q[0];
cx q[1... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIIZZIIIII",
"IIZZIIIIIII",
"ZIZIIIIIIII",
"ZIIZIIIIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIZIIIIII",
"IIIIIZIII... | [
-2,
0.5,
-2,
-1.5,
-2,
0.5,
-1,
-1.5,
-2,
-2,
0.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.553414 | [
-0.7971580737352716,
-0.06922539707563155,
-1.1443970926578568,
-1.630778302118842,
-1.5707963064248545,
-0.9554007555750966
] | {
"n_parameters": 6,
"n_qubits": 11,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 163 |
4286d838a0864c608421aefd7c0a8694 | 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": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, ... | {"states": [129, 3], "expectation_value": -15.8282184789504, "params": null, "bitstrings": ["01111110", "11111100"], "total_optimization_steps": 45, "probabilities": [0.21414457341852555, 0.4733969601642436], "optimization_time": 50.35151791572571} | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + 4.25 * (Z(7) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -2.25 * Z(1) + -0... | 1 | 8 | 4 | {"smallest_eigenvalues": [-22.25, -22.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -21.25, "smallest_bitstrings": ["11111110", "11111100"], "largest_eigenvalue": 19.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.9045870181296413) q[0];
ry(-0.2170474160110289) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5470769059317142) q[2];
rz(-pi) q[3];
ry(-0.2843983056732562) q[3];
rz(-pi) q[4];
ry(-0.2265876657411871) q[4];
h q[5];
h q[6];
h q[7];
ry(1.5286010451067176) q[7];
cx q[7], ... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(0.9755) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZZIII",
"ZIIIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-1,
-1.25,
-1,
-0.75,
-1,
-0.5,
-1,
-0.5,
4.25,
-0.25,
-1,
-0.75,
-0.5,
-2.25,
-0.25,
-0.5,
-2.25,
-1,
4.25,
0.75,
1.25
] | 0.974008 | [
1.5286010451067176,
-1.8091740362592825,
-1.9895281018553466,
-1.4053738037883465,
0.39796311717390886,
-0.00019440015801999722,
-0.21779767655905893,
-1.5470769059317142,
-0.42085430085678377,
0.1517805527427289,
0.10324978600895736,
-0.3105191432550561,
0.18150412591190185,
-1.0315729899... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -22.25,
"target_ratio": 0.97,
"target_value": -21.5825
} | 26 |
0dfcdb47416adb6a36dbeb085dec3a08 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"sour... | {"states": [53, 181], "expectation_value": -5.513486862264383, "params": [0.0015, 0.00030000000000000003, 1.6056000000000001, 0.0018000000000000002, 0.5424, 0.0098, 1.6066, 0.0059, 1.6068, 0.0006000000000000001, 0.0015, 0.0078000000000000005, 1.6105, 0.0015, 0.0025, 0.004, 1.606, 0.0007, 0.0079, 0.0, 0.0016, 0.007, 0.0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["101001010"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.015174921575760695) q[0];
rz(-0.9882643325319869) q[0];
rx(2.8467434796822504) q[1];
rz(-0.1720560114303269) q[1];
rx(-0.0908466333365755) q[2];
rz(-0.18637535725830112) q[2];
rx(2.5222911552975003) q[3];
rz(1.1628738768178106) q[3];
rx(2.9269051502306214) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIIZ",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIIIZ",
"IIIZIIIZI",
"IIIZZIIII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIIZIZII",
"IIZIIIZII",
"IZIIIZIII",
"IIIZIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2,
-1.5,
-1,
-2,
-0.5,
-2,
-0.5,
-0.5
] | 0.972909 | [
-0.015174921575760694,
-0.6767276528378394,
2.8467434796822504,
-0.1047698972383412,
-0.09084663333657551,
-0.06933765104127707,
2.5222911552975003,
1.3423971031818867,
2.9269051502306214,
-0.1433707593648455,
0.09153466011606677,
2.8879488536374915,
-0.15662945080738308,
0.351894429621847... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 22 |
80ea40a1cd4d9bb780bbb97236d9a0bc | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "so... | {"states": [222, 206], "expectation_value": -8.138371518839257, "params": [-0.0004, 0.5355, 0.8949, -0.0029000000000000002, 0.8949, -0.0004, -0.0034000000000000002, -0.626, 0.5248, 0.3251, 0.6452, 0.2715, 0.8998, 0.0041, 0.8992, -0.0006000000000000001, 0.00030000000000000003, 0.6227, -0.001, -0.4272, 0.9005000000000001... | -0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-9.375, -9.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.125, "smallest_bitstrings": ["100110001", "100101001"], "largest_eigenvalue": 26.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.08799439082692172) q[0];
rz(-0.04053423072081053) q[0];
rx(1.2006522271996443) q[1];
rz(-0.029852817323747956) q[1];
rx(1.2006522271996443) q[2];
rz(-0.08799439082692172) q[2];
rx(0.18833581716882544) q[3];
rz(-0.4849824546849156) q[3];
rx(-0.18261437563468638) 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": 4} | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IIIZZIIII",
"IIIZIIIIZ",
"IIZIZIIII",
"IIZIIIIIZ",
"IIZZIIIII",
"IZIIZIIII",
"IZIIIIIIZ",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIIZIIIII",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZIIIZII",
"IZIIIIZII",
"IIIIIIZZI",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIZIIIIII",
"... | [
-0.5,
1,
-0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
0.5,
1,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.375,
2,
-1.625,
2,
3.5,
3.5,
-0.5,
1.75,
1.75,
-0.125
] | 0.978674 | [
-0.08799439082692172,
0.32284741774146336,
1.2006522271996443,
-0.029852817323747956,
0.18833581716882544,
-0.4849824546849156,
-0.18261437563468638,
0.4457386079991235,
1.0214807372461534,
0.12397842284346364,
1.0316252057604736,
-0.01557903318317504,
0.97996823976922,
0.23266544356229904... | {
"n_parameters": 74,
"n_qubits": 9,
"optimal_eigenvalue": -9.375,
"target_ratio": 0.97,
"target_value": -9.09375
} | 10 |
-8811157705136180184 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[9, 11], [1, 3, 5, 8, 9], [9, 4, 6], [1, 2, 3, 6, 12], [0, 1, 3], [1, 3, 7], [0, 9, 6], [2, 5, 6, 7, 12], [0, 10, 5], [8, 4, 12, 6], [2, 7, 10, 11, 12], [1, 5, 6, 9, 12], [8, 10, 4], [1, 3, 6, 9], [1, 12, 7], [0, 1, 12, 8], [0, 10, 2, 4], [8, 7], [0, ... | {"states": [3997, 1949], "expectation_value": -8.038063117190205, "params": [-0.0027, 1.8596000000000001, 0.0027, 0.0041, 1.9280000000000002, -0.5296000000000001, 1.7941, -0.5228, 1.5719, 0.0034000000000000002, 1.5738, 0.0081, 1.4456, -0.0131, 1.0242, 0.0155, 1.5645, -0.0034000000000000002, 1.5705, 0.0074, 1.5725, -0.0... | 0.5 * (Z(9) @ Z(11)) + 0.26666666666666666 * (Z(1) @ Z(9)) + 0.08333333333333333 * (Z(3) @ Z(11)) + 0.21666666666666667 * (Z(3) @ Z(9)) + 0.5166666666666667 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(11)) + 0.2 * (Z(5) @ Z(9)) + 0.26666666666666666 * (Z(5) @ Z(1)) + 0.3 * (Z(5) @ Z(3)) + 0.5 * (Z(8) @ Z(11)) + 0... | 8 | 13 | 1 | {"smallest_eigenvalues": [-8.083333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.966666666666664, "smallest_bitstrings": ["1100001100010"], "largest_eigenvalue": 35.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.09963402243338378) q[0];
rz(-2.8760917363325706) q[0];
rx(1.9889652713761186) q[1];
rz(-0.5089207274942298) q[1];
cx q[1], q[0];
ry(-0.0241520812895863) q[0];
cx q[1], q[0];
ry(0.0888007150966134) q[0];
rz(-1.6016031992011133) q[0];
rx(1.974503022796106) q[1];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIZIIIIIIIII",
"IIIZIIIIIIIZI",
"IZIIIIIIIZIII",
"IIIZIIIIIZIII",
"IIIIIIIIIZIZI",
"IZIIIIIZIIIII",
"IIIZIIIZIIIII",
"IIIIIIIZIIIZI",
"IIIIIIIZIZIII",
"IZIIZIIIIIIII",
"IIIZZIIIIIIII",
"IIIIZIIIIIIZI",
"IIIIZIIIIZIII",
"IIIIZIIZIIIII",
"IZIIIIIIZIIII",
"IIIZIIIIZIIII",
"IIIIIIIIZII... | [
0.5,
0.26666666666666666,
0.08333333333333333,
0.21666666666666667,
0.5166666666666667,
0.08333333333333333,
0.2,
0.26666666666666666,
0.3,
0.5,
0.18333333333333335,
0.4666666666666667,
0.21666666666666667,
0.05,
0.16666666666666666,
0.3,
0.08333333333333333,
0.1,
0.3333333333333... | 0.985396 | [
0.09963402243338378,
1.8362972440521188,
1.9889652713761186,
-0.5089207274942298,
1.615363400754038,
-0.059761061939433854,
1.3591802312745347,
-0.1071892903529294,
1.4159146134805902,
0.06904155875364643,
1.5874841355181466,
0.08263079682719388,
0.1135657446402046,
2.0436566690911073,
0... | {
"n_parameters": 59,
"n_qubits": 13,
"optimal_eigenvalue": -8.083333333333332,
"target_ratio": 0.97,
"target_value": -7.8408333333333315
} | 1 |
5012989909338209192 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 4], [5, 7], [0, 1, 3], [8, 2], [3, 4, 7], [2, 3, 4], [1, 2], [2, 6, 7], [8, 0, 4], [0, 3, 6], [8, 3, 6], [2, 3, 5], [5, 6], [1, 6], [0, 2, 4], [4, 5], [8, 1, 3], [0, 2, 6]]} | {"states": [116, 118], "expectation_value": -0.2240404375937239, "params": [[-0.07540000000000001], [0.0721]], "bitstrings": ["110001011", "110001001"], "total_optimization_steps": 10, "probabilities": [0.002330082929996309, 0.0023323648498383355], "optimization_time": 4.410358190536499} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.3333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.833333333333333, "smallest_bitstrings": ["110001001"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(-0.6531396385558925) q[1];
cx q[4], q[1];
h q[5];
cx q[4], q[5];
rz(-0.6531396385558925) q[5];
cx q[4], q[5];
h q[6];
h q[7];
cx q[4], q[7];
rz(0.03774961976740608) q[7];
cx q[4], q[7];
cx q[4], q[0];
rz(-0.09523... | 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[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[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZI",
"IIIZZIIII",
"IZIIZIIII",
"IZIZIIIII",
"IIIIZIIIZ",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIIIZIZI",
"IIIZIZIII",
"IZIIIZIII",
"IIIIIZIIZ",
"ZIIIZIIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIIIZIZII",
"IIIIIIZZI",
"IIIZIIZII",
"IZIIIIZII",
"IIIIIIZIZ",
"IIIIIZZII",
"... | [
0.5,
0.5,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.... | 0.522396 | [
-0.6531396385558925,
0.03774961976740608,
-0.09523004618077191,
-0.029970159057181162,
-0.9472959028866281,
-1.5103699116597538,
0.8452397831034623
] | {
"n_parameters": 7,
"n_qubits": 9,
"optimal_eigenvalue": -5.166666666666666,
"target_ratio": 0.97,
"target_value": -5.011666666666666
} | 185 |
917f40919ed5cce8c36c9746617c7a98 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 2, "source": 2, "target": 3}, {"weight": 19, "source": 2, "target": 6}, {"weight": 19, "source": 2, "targ... | {"states": [252, 124], "expectation_value": -78.6010180976092, "params": [-0.0024000000000000002, 0.0047, 1.4779, 0.009000000000000001, 3.0846, 0.0051, 3.0865, 0.0078000000000000005, 3.0965000000000003, 0.0041, 3.0856000000000003, 0.00030000000000000003, 3.0992, 0.0037, 1.0899, 0.0005, 1.2590000000000001, 0.0002, 0.002... | 4.5 * (Z(2) @ Z(5)) + 4.5 * (Z(1) @ Z(5)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(8) ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-92.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -83.5, "smallest_bitstrings": ["110000011"], "largest_eigenvalue": 208.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.00044453658841897564) q[0];
rz(-0.5788197044321004) q[0];
rx(0.4068324238987415) q[1];
rz(-0.11490205461069954) q[1];
rx(3.211647336478497) q[2];
rz(-0.018285896484799113) q[2];
rx(3.068768369175414) q[3];
rz(0.3240571938421825) q[3];
rx(3.2961556426951257) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIZIIZII",
"IIIZIIIZI",
"IIIIIIZZI",
"IIIZZIIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIZIZIII",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZZIII",
"IIZIIIIZI",
"IIZIZIIII",
"IZIIIIZII",
"IZIIIZIII",
"ZIIZIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIZIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIZIIII",
"... | [
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,
19.5,
23,
14.5,
27.5,
20,
10,
4.5,
7.5,
-5.5
] | 0.970785 | [
0.0004445365884189756,
-0.6284213388249793,
0.4068324238987415,
-0.11490205461069954,
3.211647336478497,
-0.018285896484799113,
3.068768369175414,
0.3240571938421825,
3.2961556426951257,
0.19379084717326944,
3.00879211742487,
-0.28753631262510954,
3.14958888918463,
-0.12561512912265832,
... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -92.5,
"target_ratio": 0.97,
"target_value": -89.725
} | 12 |
47c90a1844bb68a81c49cc01fe4989e8 | max_flow | 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": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [239, 255], "expectation_value": -24.498823062286682, "params": [0.0041, -0.36710000000000004, 0.002, -0.3942, 0.0014, -0.1346, 0.0013000000000000002, -0.1535, 0.39, 0.0207, 0.37720000000000004, 0.0109, 0.38930000000000003, 0.0224, 0.3885, 0.0078000000000000005, 0.368, 0.025400000000000002, 0.3786, 0.0119, 0... | 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(3) @ Z(4)) + 2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 2.0 * (Z(7) @ Z(3)) + 2.0 * (Z(7) @ Z(6)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z... | 5 | 10 | 4 | {"smallest_eigenvalues": [-24.833333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.833333333333332, "smallest_bitstrings": ["1100000000"], "largest_eigenvalue": 55.166666666666664} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.1813424485071628) q[0];
cx q[1], q[0];
rz(-0.12463552154992241) q[0];
rx(-1.2421529423468263) q[0];
rz(-0.2544248103281359) q[1];
rx(-1.2421529423468265) q[1];
cx q[1], q[0];
rz(-3.2205034676259676) q[0];
cx q[1], q[0];
rz(1.4810378... | 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": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIZZII",
"IIIZIIIZII",
"IIIZIIZIII",
"IIZIIIIZII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"ZIIZIIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZZ",
"IIIIIZIIII",
"IIIIIIIZII"... | [
0.5,
1,
2,
0.5,
1,
1,
2,
2,
-0.5,
-1,
-0.5,
-1,
0.5,
1,
0.5,
1,
0.5,
-0.3333333333333333,
2,
4.5,
9,
5,
10,
-2,
2.5,
2.5,
-1,
-0.5
] | 0.950569 | [
0.06583836217984403,
0.02424617956702617,
0.02628092965861942,
-0.12463552154992238,
-0.25442481032813585,
-0.1813424485071628,
1.6448560843536073,
1.9812957884316302,
1.6043223553640227,
2.003992131822368,
1.9286176302370583,
1.298515420062773,
-1.2421529423468265,
-0.6759533731163639,
... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -24.833333333333336,
"target_ratio": 0.97,
"target_value": -24.088333333333335
} | 500 |
0cfc31894cbb21dc81348893cd71afd2 | 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": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": ... | {"states": [383, 1023], "expectation_value": -21.14303668770455, "params": null, "bitstrings": ["1010000000", "0000000000"], "total_optimization_steps": 100, "probabilities": [0.05351091651439189, 0.3304367933110504], "optimization_time": 217.06391644477844} | -1.5 * (Z(0) @ Z(2)) + -2.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -3.5 * (Z(6) @ Z(3)) + -3.0 * (Z(7) @ Z(5)) + -3.0 * (Z(7) @ Z(3)) + 1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(7)) + 1.0 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(3)) + -3.5 * (Z(8) @ Z(6)) + -4.0 ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-42.0, -42.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -41.0, "smallest_bitstrings": ["0000000000", "1010000000"], "largest_eigenvalue": 34.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.08513743038990779) q[0];
ry(-0.053578177845580416) q[1];
ry(0.3120033643452013) q[2];
ry(0.14622341637480057) q[3];
ry(-0.16039183569624163) q[4];
ry(-0.2111402885996337) q[5];
ry(-0.053578177845580416) q[6];
ry(-0.0051925129142067275) q[7];
ry(-0.080206811765537... | null | {"node": 1} | {"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[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... | [
"IIIIIIIZIZ",
"IIIIZIZIII",
"IIIZZIIIII",
"IIIZIIZIII",
"IIZIZIIIII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIIIZZIIII",
"IIIIIZZIII",
"IIIZIZIIII",
"IIZIIZIIII",
"IZIIZIIIII",
"IZIIIIZIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IZIIIZIIII",
"ZIIIZIIIII",
"ZIIIIIZIII",
"ZIIZIIIIII",
"ZIZIIIIIII"... | [
-1.5,
-2.5,
0.5,
-3.5,
-3,
-3,
1.5,
0.5,
0.5,
-3,
1,
1,
1,
-3.5,
-4,
-3,
-3,
0.5,
1,
1,
-3,
-3.5,
0.5,
1,
-3,
-3.5,
-3,
-3,
1,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.973285 | [
-0.08513743038990779,
-0.053578177845580416,
0.3120033643452013,
0.14622341637480057,
-0.16039183569624163,
-0.2111402885996337,
-0.0051925129142067275,
-0.08020681176553726,
-0.08425302473866397,
3.23705889083263,
-0.04280075016301067,
-0.12084888609405003,
0.03161345905161249,
-0.0815692... | {
"n_parameters": 15,
"n_qubits": 10,
"optimal_eigenvalue": -42,
"target_ratio": 0.97,
"target_value": -40.74
} | 25 |
473775bc8d8b4cca680d00f7b64c1aa1 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [36, 3], "expectation_value": -6.474634729053957, "params": [[-0.0514, -0.0555], [0.0656, 0.0792]], "bitstrings": ["011011", "111100"], "total_optimization_steps": 10, "probabilities": [0.03182288605198022, 0.032497198175845635], "optimization_time": 3.626911163330078} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.... | 18 | 6 | 2 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 70.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022388232708840404) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022388232708840404) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022388232708840404) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.022388232708840404) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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 ... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.25,
2.5,
2.25,
2.5,
2.5,
-6.25,
-5.75,
-6.25,
-5.75,
-5.5,
-5.5
] | 0.970792 | [
0.022388232708840404,
-0.16546972504389865,
1.387189998889542,
1.1317721305414625,
-1.0291416278486831,
1.3553919116902904,
-0.24772195907827305,
-0.6852193775874179,
1.0091668921719015,
0.9126657422045303,
0.15550491965267638,
0.23151516878776346
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 42 |
4831ab012b2dd3a86550af07c5dc6e17 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 2, "source": 1, "target": 6... | {"states": [7999, 8127], "expectation_value": -2.9950621669376485, "params": [0.0016, 0.3103, 0.0056, 0.2998, 0.0041, 0.2873, 0.0016, 0.3156, 0.4057, 0.0025, 0.4051, 0.0033, 0.40890000000000004, 0.0033, 0.4072, 0.0017000000000000001, 0.40340000000000004, 0.0022, 0.4076, 0.0051, 0.40650000000000003, -0.0005, 0.405400000... | -1.0 * (Z(7) @ Z(1)) + -1.0 * (Z(8) @ Z(1)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 ... | 7 | 15 | 2 | {"smallest_eigenvalues": [-23.49999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.499999999999883, "smallest_bitstrings": ["110000001000000"], "largest_eigenvalue": 52.50000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(-0.20796838160434256) q[0];
rz(0.7828799437569725) q[0];
rx(0.134548632594205) q[1];
rz(0.2739814615874633) q[1];
cx q[1], q[0];
rz(-0.01614072487980384) q[0];
cx q[1], q[0];
rz(1.0651551623204405) q[0];
ry(0.033660691285731875) q[0];
rz(-0.3172007856064387) q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIIIZI",
"IIIIIIZIIIIIIZI",
"IIIIIIZZIIIIIII",
"IIIIIIIIIIIIZZI",
"IIIIIIIZIIIIZII",
"IIIIIIZIIIIIZII",
"IIIIIIIIIIIZIZI",
"IIIIIIIZIIIZIII",
"IIIIIIZIIIIZIII",
"IIIIIIIIIIIZZII",
"IIIIIIIIIIZIIZI",
"IIIIIIIZIIZIIII",
"IIIIIIZIIIZIIII",
"IIIIIIIIIIZIZII",
"IIIIIIIIIIZZIII",
"... | [
-1,
-1,
1,
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,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-0.5,
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... | 0.972693 | [
-0.2079683816043426,
0.7667392188771684,
0.134548632594205,
0.2739814615874633,
0.5570540689180454,
-0.24201210412359003,
0.8558334827245723,
0.08754612967842154,
0.3448817416275478,
-0.15518388594361215,
0.8423806309219513,
0.08852232364254385,
0.9300608171577839,
0.9211924307353271,
0.... | {
"n_parameters": 115,
"n_qubits": 15,
"optimal_eigenvalue": -23.49999999999999,
"target_ratio": 0.97,
"target_value": -22.794999999999987
} | 27 |
c1f475c56d8c42c95f0dfb9299141d32 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"sour... | {"states": [66, 82], "expectation_value": -6.891518594024078, "params": [0.0027, 0.0037, 0.0066, 0.0033, 0.2162, 0.2149, 0.0029000000000000002, 0.0017000000000000001, 0.2019, 0.2011, 0.033600000000000005, 0.031900000000000005, 0.0505, 0.0454, 0.2983, 0.2999, -0.0023, 0.0023, 0.0053, 0.004, 0.0023, 0.0067, 0.21960000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) ... | 13 | 9 | 4 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -7.0, "smallest_bitstrings": ["110101101", "101101110", "011110011", "011010111", "111010101", "111110001", "100101111"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.10064818164459706) q[0];
rz(0.22352137974737388) q[0];
ry(0.07658070883850246) q[1];
ry(0.4280163345378232) q[2];
ry(-0.037634594141842635) q[3];
ry(0.28167168470523746) q[4];
ry(0.1389758338640525) q[5];
ry(-0.03249601729289395) q[6];
ry(0.4016655052745916) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIIZ",
"IZIIIIIZI",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIIIZIZI",
"IIIIZZIII",
"ZIIIIZIII",
"IIIZIIIZI",
"IIIZZIIII",
"ZIIZIIIII",
"ZIIIIIZII",
"IIIIIZZII",
"IIIZIIZII",
"IIZIZIIII",
"ZIZIIIIII",
"IIZIIZIII",
"IIZIIIZII",
"IIIIIIIZI",
"IIIIIIIIZ",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
-1,
-2.5,
-2,
-1.5,
-1.5,
-1.5
] | 0.970212 | [
0.10064818164459706,
0.07658070883850246,
0.4280163345378232,
-0.037634594141842635,
0.28167168470523746,
0.1389758338640525,
-0.03249601729289395,
0.4016655052745916,
0.23235613409956402,
0.44704275949474775,
-0.026101401373836347,
0.13446716030825767,
0.11376018246667766,
-0.177411866313... | {
"n_parameters": 136,
"n_qubits": 9,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 6 |
38980211450f7282c15e0ab435ff2cd6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [62, 1], "expectation_value": -0.6412742442492981, "params": [[-0.0611, -0.0391, -0.0378], [0.07150000000000001, 0.0536, 0.058]], "bitstrings": ["000001", "111110"], "total_optimization_steps": 10, "probabilities": [0.02344671962635335, 0.029364479067283657], "optimization_time": 2.6663448810577393} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(3) + 1.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.18057532849171046) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.18057532849171046) q[3];
cx q[2], q[3];
h q[4];
cx q[0], q[4];
rz(0.15240128173497133) q[4];
cx q[0], q[4];
cx q[4], q[1];
rz(0.4649246212783777) q[1];
cx q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IZIIIZ",
"IZIIZI",
"IIZZII",
"IZZIII",
"IIZIZI",
"ZIIZII",
"ZIIIIZ",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIZIII",
"ZIIIII"
] | [
-0.75,
-0.25,
-0.5,
-0.75,
-0.25,
-1,
-0.25,
1.25,
0.25,
-0.25,
0,
-0.5,
-0.5,
1
] | 0.970699 | [
0.18057532849171046,
0.15240128173497133,
0.4649246212783777,
-0.16816126659960623,
-0.38958804491802196,
0.6933538979276795,
0.5762777327646811,
-0.6736008592295458,
1.3898734088318323,
0.35834720452177266,
0.2611471404449328,
0.6354636015951395,
-0.12256652965784247,
-0.6716227081292513,... | {
"n_parameters": 25,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 144 |
5453c2513a3015ff34fdf7af0c17d479 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [56, 7], "expectation_value": -4.527779831213316, "params": [[-0.0273, 0.0262, 0.0531, 0.01], [0.053200000000000004, 0.0015, -0.0397, -0.028800000000000003]], "bitstrings": ["1000111", "1111000"], "total_optimization_steps": 10, "probabilities": [0.011589703898963155, 0.012094659267535331], "optimization_tim... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 14 | 7 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.006822705804027614) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.006822705804027614) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.006822705804027614) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.006822705804027614) 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[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
-3.25,
-3.75,
-3.25,
-3.25,
-3,
-3,
-3
] | 0.979266 | [
-0.006822705804027614,
-0.0569835674757276,
1.6413660952290756,
1.6445943010417547,
-1.210190329393257,
1.272917394365843,
0.13825878583450213,
0.06605299930301477,
-0.18109136526066744,
-0.3332332317372449,
-1.3079642609617461,
0.48354866790017953,
-0.3444589912231889,
0.9797977022594652,... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 96 |
8fa85228f1ab3b361f2e7e3b3150e795 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target":... | {"states": [480, 487], "expectation_value": -0.584324996748504, "params": [[-0.060200000000000004], [0.07060000000000001]], "bitstrings": ["000011111", "000011000"], "total_optimization_steps": 10, "probabilities": [0.002617131722828978, 0.0027429287509820044], "optimization_time": 1.4536430835723877} | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(8)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(3) + -1.0 * Z(5) + -1.0 * Z(4) + 0.5 * Z(8) + 0.5 * Z(6) + 0.5 * Z(7) | 5 | 9 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["000011000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.9952456547999777) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.32439118944162554) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(0.8631878032498951) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.32439118944162537) q[2];
rx(0.9475125628... | 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[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x1) q[1];
cx q[2], q[1];
cx... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIZZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"ZIIIIIIII",
"IIZIIIIII",
"IZIIIIIII"
] | [
-1.5,
0.5,
-2,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5
] | 0.497648 | [
0.9952456547999777,
0.32439118944162554,
0.8631878032498951,
1.1537434448074644,
0.9475125628779709
] | {
"n_parameters": 5,
"n_qubits": 9,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 174 |
745981759894492285 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4, 5], [1, 3, 6], [3, 7], [2, 5, 7], [5, 6, 7], [0, 6]]} | {"states": [180, 54], "expectation_value": -2.1809512024508577, "params": null, "bitstrings": ["01001011", "11001001"], "total_optimization_steps": 51, "probabilities": [0.052405149301104015, 0.8333448612296463], "optimization_time": 62.06397342681885} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.3333333333333333 * (Z(7) @ Z(5... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.3333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0000000000000004, "smallest_bitstrings": ["11001001"], "largest_eigenvalue": 4.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.3222359836355366) q[0];
h q[1];
ry(-0.284201187267387) q[1];
h q[2];
ry(0.42996351895026247) q[2];
h q[3];
h q[4];
ry(-0.27453853609006407) q[4];
h q[5];
ry(1.4606709019999626) q[5];
h q[6];
cx q[6], q[0];
ry(0.3222359836355366) q[0];
cx q[6], q[0];
ry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) 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[... | [
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IIIIZIZI",
"IZIIZIII",
"IZZIIIII",
"IZIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIZIIZII",
"ZIIIIZII",
"IZIIIIIZ",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IIIIIIZI",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIIIIIZ"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.33333333333333326,
0.49... | 0.970245 | [
1.4606709019999626,
-0.6444719672710733,
1.0065908333631925,
-0.7558122636606135,
0.8874717448023651,
-0.7760473182871104,
-0.5240146531075692,
0.3030881152835526,
0.49308633089354087,
-0.5037366922371739,
-0.326011233700507,
0.8599270379005249,
-0.5490770721801281,
-0.568402374534774,
0... | {
"n_parameters": 44,
"n_qubits": 8,
"optimal_eigenvalue": -2.3333333333333335,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 17 |
8873748971240293372 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 9], [3, 6], [1, 9], [2, 5], [9, 5], [8, 9], [1, 7], [8, 6], [1, 5], [6, 7], [9, 10], [8, 4], [8, 3], [3, 5], [10, 7], [4, 6], [2, 11], [5, 7], [8, 2]]} | {"states": [916, 3179], "expectation_value": -0.20771673527490242, "params": [[0.0727], [-0.07730000000000001]], "bitstrings": ["110001101011", "001110010100"], "total_optimization_steps": 10, "probabilities": [0.0003347079604252183, 0.0003347079604252183], "optimization_time": 24.374707460403442} | 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(10)... | 1 | 12 | 1 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["110001101011", "001110010100"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] 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[3];
rz(0.5432739694315833) q[3];
cx q[6], q[3];
h q[7];
h q[8];
h q[9];
cx q[9], q[0];
rz(0.5432739694315833) q[0];
cx q[9], q[0];
rz(-1.2394205661792057e-08) q[0];
rx(-0.7184848200071381) q[0];
cx q[9]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[9], q[0];
rz(x0) q[0];
cx q[9], q[0];
cx q[6], q[3];
rz(x0) q[3];
cx q[6], q[3];
cx q[9], q[1];... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIIZ",
"IIIIIZIIZIII",
"IIZIIIIIIIZI",
"IIZIIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZIIIZI",
"IIIIIIZIIZII",
"IIZZIIIIIIII",
"IIIZIZIIIIII",
"IIIZIIIIZIII",
"IIIZIIIIIZII",
"IIIIZZIIIIII",
"IIIIZIIIIIZI",
"IIIIZIZIIIII",
"IZZIIIIIIIII",
"IZIIZIIIIIII",
"IIIIIZIZIIII",
"IIIZIIIZI... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.378052 | [
0.5432739694315833,
-1.2394205787887225e-8,
-0.7184848200071381
] | {
"n_parameters": 3,
"n_qubits": 12,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 95 |
9a44f437194a4879d426f5b6a5686299 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [70, 7], "expectation_value": -4.873573898421588, "params": [[-0.0022, 0.018000000000000002, 0.0373, -0.030000000000000002], [0.0097, -0.0158, -0.034300000000000004, -0.009300000000000001]], "bitstrings": ["10111001", "11111000"], "total_optimization_steps": 10, "probabilities": [0.0050959204870546825, 0.005... | 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 |
9e8a866d2c0011b6946d4c64e758f31c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [246, 182], "expectation_value": -1.5559619208524471, "params": [0.6979000000000001, -0.0346, 0.4768, -0.053200000000000004, 0.7007, 0.045200000000000004, 0.7068, 0.099, 0.2146, 0.2553, 0.7063, 0.065, 0.6934, -0.10540000000000001, -0.0027, 0.5179, 0.6930000000000001, -0.0512, 0.48400000000000004, 0.080200000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 16 | 8 | 3 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["01001001", "10000011"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.0097347073373075) q[0];
rz(-0.14101462084387117) q[0];
rx(-0.38750982357956676) q[1];
rz(-0.3057211553890907) q[1];
cx q[1], q[0];
rz(0.13275230381341913) q[0];
cx q[1], q[0];
rx(1.3782189303544248) q[0];
rz(-0.29267031617775396) q[0];
rz(-0.09789635874452761) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIIZZIZ",
"IIIIZZZI",
"IIIIZZZZ",
"IIIZIIIZ",
"IIZIIIZI",
"IZIIIIZI",
"IZZIIIII",
"IZZIIIZI",
"IIZIIZII",
"ZIIIIZII",
"ZIZIIIII",
"ZIZIIZII",
"IIIZZIII",
"IZIIZIII",
"IZIZIII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.125,
0.125,
0.125,
0.125,
-0.25,
0,
0,
-0.75
] | 0.971229 | [
1.0097347073373075,
-0.008262317030451896,
-0.38750982357956676,
-0.3057211553890907,
1.2302795857067115,
-0.013592108438004277,
1.1428987618315947,
0.21610326377545203,
-0.0945257361764085,
0.05751696828617267,
1.1584777199858318,
-0.024575436526478617,
1.269911032440262,
0.08978829929159... | {
"n_parameters": 69,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 20 |
8e4b273e62e3bdbcb042f56fe9c0bd31 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [5, 42], "expectation_value": -0.05997533334372766, "params": [[-0.0068000000000000005, -0.062200000000000005], [-0.038, 0.058800000000000005]], "bitstrings": ["111010", "010101"], "total_optimization_steps": 10, "probabilities": [0.016578738878091484, 0.0170635769068496], "optimization_time": 2.143076658248... | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(5) @ Z(2)) + -0.25 * Z(0) + -0.25 * Z(2) + -0.75 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["010101"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.003570858544960076) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(0.003570858544960076) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz(0.003570858544960076) q[1];
cx q[1], q[0];
rz(-0.11726358043627519) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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 ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIIIZZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZZIII",
"ZZIIII",
"ZIIZII",
"IIIIIZ",
"IIIZII",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.5,
-0.25,
-0.25,
-0.75,
-0.5,
-0.5,
-0.5
] | 0.762533 | [
0.003570858544960076,
-0.11726358043627519,
-0.6462594328548128,
1.611929135236777,
0.6371699566376291,
0.9513101502862553,
0.03572501092869963,
0.07116209703665359,
-1.4784117063539257,
-0.06107024763807288,
0.8005656144892781,
0.538238114406948
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 320 |
69144809aea48cb46eae9c3950f24a15 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [60285, 55230], "expectation_value": -10.561735082342148, "params": [[0.0745, 0.075, 0.0727], [-0.081, -0.0796, -0.0734]], "bitstrings": ["0001010010000010", "0010100001000001"], "total_optimization_steps": 10, "probabilities": [0.00017875548275701202, 0.00018959275094290897], "optimization_time": 39.2471749... | 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(... | 1 | 16 | 3 | {"smallest_eigenvalues": [-20.499999999999844], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.499999999999787, "smallest_bitstrings": ["0010100001000001"], "largest_eigenvalue": 69.50000000000036} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.12397642308111168) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.12397642308111168) q[0];
cx q[1], q[0];
rz(-1.0412824378997723) q[0];
rx(-0.6835570607299903) q[0];
rz(0.6551677416149957) q[1];
rx(-0.6835570607299903) q[1];
rz(-1.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 3}, {"id": 1}, {"id": 0}, {"id": 2}], "edges": [{"source": 3, "target": 0}, {"source": 1, "target": 0}, {"source": 1, "target": 2}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIZIII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIIIZIIZI",
"IIIIIIIIIIIZZIII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIZIIZIIII",
"IIIIIIIIIIZZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,... | 0.983631 | [
0.12397642308111168,
-1.0412824378997723,
0.6551677416149958,
-0.6835570607299902,
0.023146836072959226,
-0.5048269617904716,
0.6814886991250588,
-0.7325852103426811,
0.006386053532258323,
-0.47655542685563346,
0.11597712833781966,
-0.2813397718212035
] | {
"n_parameters": 12,
"n_qubits": 3,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
b2edf981a9c05ff141b468ab5531d2c7 | 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": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [71, 85], "expectation_value": -2.590685641349327, "params": null, "bitstrings": ["0111000", "0101010"], "total_optimization_steps": 45, "probabilities": [0.06991996953746794, 0.7415731129598419], "optimization_time": 39.13173747062683} | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 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)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.... | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["0101010", "0110001"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.5248550386083428) q[0];
ry(-0.10221270413882634) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
ry(-0.09127413307150792) q[3];
h q[4];
ry(1.5248550386083428) q[4];
h q[5];
ry(-0.09127413307150792) q[5];
cx q[2], q[5];
ry(0.09127413307150792) q[5];
cx q[2], q[5];
ry(-0... | 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(-1.4449) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIIZZII",
"IIIZZIZ",
"IIZIIZI",
"IZZIIII",
"ZIZIIII",
"ZZIIIII",
"ZZZIIII",
"IZIIZII",
"ZIIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25
] | 0.971484 | [
-1.505134990804261,
-0.18254826614301584,
1.5248550386083428,
-0.03839767417260796,
1.417504350103393,
0.9854096523880066,
-0.5343385890345632,
-0.5625052963746807,
0.13394661936504978,
0.07310273629638185,
0.1078849727528113,
-0.5444759194660239,
-0.4696532586096871,
-0.1666927772157234,
... | {
"n_parameters": 30,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 35 |
567ed6645e82294a2ae938dda85f4008 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 4, "target": 6},... | {"states": [240, 2032], "expectation_value": -20.018783673181236, "params": null, "bitstrings": ["11100001111", "00000001111"], "total_optimization_steps": 100, "probabilities": [0.07755076395691836, 0.44395793276932566], "optimization_time": 243.91433453559875} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(6)) + -2.0 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -2.5 * (Z(7) @ Z(8)) + -2.5 * (Z(10) @ Z(8)) + -2.0 * (Z(10) @ Z(7)) + -2.5 * (Z(9) @ Z(8)) + 1.0 * (Z(9) @ Z(7)) + 1... | 1 | 11 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["00000001111"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
rz(-pi) q[7];
ry(-0.0012838165023440983) q[7];
rz(-pi) q[8];
ry(-0.004015253387322362) q[8];
cx q[6], q[8];
ry(-0.00017209292034845873) q[8];
cx q[6], q[8];
cx q[6], q[7];
ry(-0.0016188398492755368) q[8];
cx q[5],... | null | {"node": 11} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nry(-1.5708) q[9];\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] = m... | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIZIIZIII",
"IIIIZIZIIII",
"IIIIIIZZIII",
"IIIIZZIIIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIZZIIIIIII",
"ZIZIIIIIIII",
"ZIIZIIIIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIZIIII... | [
-1.5,
-1.5,
0.5,
-2,
-2,
0.5,
-2,
0.5,
0.5,
-2.5,
-2.5,
-2,
-2.5,
1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
-2,
-2
] | 0.930463 | [
-1.5682065209726452,
-1.5749836731025675,
-1.5721591247883338,
0.00034418584069691746,
-0.0032376796985510736,
0.0018314473791294632,
0.0007463575471003563,
0.0001579629821864668,
0.0031197360327663757,
0.002377472734985015,
-0.00043987157151058266,
1.5603964739963683,
1.2269928840017803,
... | {
"n_parameters": 63,
"n_qubits": 11,
"optimal_eigenvalue": -26,
"target_ratio": 0.97,
"target_value": -25.22
} | 500 |
80414d2e2eb4a15dac1e8a7f58be727c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [30, 97], "expectation_value": -0.2743892599189406, "params": [[-0.06380000000000001], [0.07300000000000001]], "bitstrings": ["1100001", "0011110"], "total_optimization_steps": 10, "probabilities": [0.00901689885935347, 0.009234421584668676], "optimization_time": 1.5100884437561035} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -0.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100011", "0011110", "1101001", "1001011"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.06094240650319222) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.06094240650319222) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(0.06094240650319222) q[4];
cx q[0], q[4];
h q[5];
cx q[0], q[5];
rz(0.06094240650319222) q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IZIIIIZ",
"IZIZIII",
"IIIZIZI",
"IZIIIZI",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1.5,
-0.5,
-1.5,
-0.5,
-1.5
] | 0.985922 | [
0.06094240650319222,
-1.401133667911887,
1.6260910595462086,
1.631365084044293
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 22 |
2925094683699147145 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 3, 4, 5, 6], [0, 1, 6, 7], [0, 1, 2, 3, 7], [1, 4, 5, 7], [4, 6, 7], [0, 3, 4, 7], [1, 2, 5, 6], [0, 1, 2, 5, 7]]} | {"states": [250, 183], "expectation_value": -1.1344173891834428, "params": [[0.38320000000000004], [-0.38980000000000004]], "bitstrings": ["00000101", "01001000"], "total_optimization_steps": 40, "probabilities": [0.010994115329685385, 0.011028181013168279], "optimization_time": 12.714818000793457} | 0.21666666666666667 * (Z(0) @ Z(1)) + 0.08333333333333334 * (Z(3) @ Z(1)) + 0.16666666666666669 * (Z(3) @ Z(0)) + 0.11666666666666667 * (Z(4) @ Z(1)) + 0.11666666666666667 * (Z(4) @ Z(0)) + 0.11666666666666667 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(1)) + 0.08333333333333334 * (Z(5) @ Z(0)) + 0.03333333333333333 * (Z(5) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.8500000000000003], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8499999999999999, "smallest_bitstrings": ["01001000"], "largest_eigenvalue": 7.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.777041972835771e-08) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-2.3184735047854394e-08) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-7.43364399782272e-08) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(2.989682855613354e-08) 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": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIZZI",
"IIIIIZI... | [
0.21666666666666667,
0.08333333333333334,
0.16666666666666669,
0.11666666666666667,
0.11666666666666667,
0.11666666666666667,
0.25,
0.08333333333333334,
0.03333333333333333,
0.11666666666666667,
0.2,
0.11666666666666667,
0.03333333333333333,
0.19999999999999998,
0.11666666666666667,
0.... | 0.867868 | [
1.777041972835771e-8,
-2.3184735047854394e-8,
-7.43364399782272e-8,
2.989682855613354e-8,
7.3478373982715384e-9,
6.086846927154902e-8,
-3.408866118777227e-8,
-7.536620233458494e-9,
-2.3947472874561102e-8,
4.37732561362075e-8,
3.193765538346511e-8,
2.4473698260280428e-9,
-1.8857899568757944e-... | {
"n_parameters": 21,
"n_qubits": 8,
"optimal_eigenvalue": -1.8500000000000003,
"target_ratio": 0.97,
"target_value": -1.7945000000000002
} | 419 |
9c66622699bfa14442b166f8586f4ac4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": 0, "target": 9}, {"capac... | {"states": [473, 477], "expectation_value": -4.71643550613241, "params": [[-0.31770000000000004], [0.3635]], "bitstrings": ["1000100110", "1000100010"], "total_optimization_steps": 40, "probabilities": [0.011184297351463816, 0.012076222739671898], "optimization_time": 2.750624418258667} | -0.25 * (Z(0) @ Z(4)) + -1.0 * (Z(7) @ Z(0)) + 1.5 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(7)) + -0.75 * (Z(3) @ Z(9)) + -1.0 * (Z(1) @ Z(3)) + -0.75 * (Z(2) @ Z(4)) + -0.75 * (Z(8) @ Z(4)) + -0.25 * (Z(5) @ Z(9)) + -0.25 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(8)) + -1.0 * (Z(6) @ Z(3)) + -1.25 * Z(4) + -0.25 * Z(0) + 0.0 * Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-8.25, -8.25, -8.25, -8.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.25, "smallest_bitstrings": ["1010100110", "1000100010", "1010100010", "1000100110"], "largest_eigenvalue": 12.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-3.085832912171865e-09) q[0];
cx q[4], q[0];
cx q[4], q[2];
rz(-3.575971455322439e-08) q[2];
cx q[4], q[2];
h q[5];
h q[6];
h q[7];
cx q[0], q[7];
rz(7.597615609702633e-08) q[7];
cx q[0], q[7];
h q[8];
cx q[4], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIZ",
"IIZIIIIIIZ",
"ZIIIIIIIIZ",
"ZIZIIIIIII",
"ZIIIIIZIII",
"IIIIIIZIZI",
"IIIIIZIZII",
"IZIIIZIIII",
"ZIIIZIIIII",
"IIIIZIIZII",
"IZIIZIIIII",
"IIIZIIZIII",
"IIIIIZIIII",
"IIIIIIIIIZ",
"IIZIIIIIII",
"ZIIIIIIIII",
"IIIIIIZIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IZIIIIIIII"... | [
-0.25,
-1,
1.5,
-1,
-0.75,
-1,
-0.75,
-0.75,
-0.25,
-0.25,
-0.75,
-1,
-1.25,
-0.25,
0,
-0.5,
-1.25,
1,
0.5,
-0.5,
1.25,
1
] | 0.757576 | [
-3.085832912171865e-9,
7.597615609702633e-8,
4.096938232312157e-8,
-3.575971455322439e-8,
1.5707963150928823,
1.570796399489748,
1.5707963898803807,
-1.5214293905533793,
-0.4138944604117366,
-1.5707963905635258,
1.5707963369706717
] | {
"n_parameters": 11,
"n_qubits": 10,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 245 |
b80d831cd9b07b1f2aaf1d64249cf046 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [78, 83], "expectation_value": -0.5395479349642163, "params": [[0.06770000000000001, 0.06430000000000001, -0.0512], [-0.0666, -0.0711, -0.0177]], "bitstrings": ["0110001", "0101100"], "total_optimization_steps": 10, "probabilities": [0.011114223955008603, 0.011422126511586948], "optimization_time": 3.5898928... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + 0.0 * Z(5) + -0.5 * Z(6) + -0.5 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["0110100", "0101100", "0110001"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.057187703765313375) q[0];
rz(0.7690216135978227) q[0];
rx(1.209906049124608) q[1];
rz(-0.07290860364248924) q[1];
cx q[1], q[0];
rz(-0.028593851882656687) q[0];
cx q[1], q[0];
rx(0.05718770376531337) q[0];
rz(-0.6005090386584673) q[0];
rz(0.11078862637344898) q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"IZIIIZI",
"ZIIIIZI",
"IIZIZII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-1,
-0.5,
0,
-0.5,
-0.5
] | 0.97207 | [
0.057187703765313375,
0.7404277617151661,
1.209906049124608,
-0.07290860364248924,
1.2903415687138335,
-0.07675919091913075,
0.10497633905354888,
-0.06733609960099873,
1.3402996070483726,
-0.03416843960718164,
0.03206647432155457,
0.5921790357738657,
1.793709390858471,
0.1755954028706419,
... | {
"n_parameters": 42,
"n_qubits": 8,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 21 |
35a826e5a7a58df96900c43579ad72b8 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [1310, 1486], "expectation_value": -1.6522870014053144, "params": [[[0.07930000000000001, 0.3788, 0.0038, 0.0086], [0.1638, -0.2891, 0.3628, 0.4471], [-0.049600000000000005, -0.4646, 0.0495, -0.5074000000000001], [0.3436, -0.48750000000000004, 0.1789, -0.4605], [0.0879, 0.0526, -0.0164, -0.1029], [0.0105, -0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 11 | 11 | 4 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 19, "first_excited_energy": -2.4375, "smallest_bitstrings": ["11000000110", "01001000110... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.1496367758624985) q[0];
rz(-0.45536035747829384) q[0];
ry(0.18475283773428164) q[1];
rz(-0.3684316163759148) q[1];
cx q[1], q[0];
ry(0.5913973030375745) q[0];
rz(0.11722616609500247) q[0];
ry(0.3599909637968729) q[1];
rz(1.0533580221934051) q[1];
ry(-0.19360345235... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIIIZZIIZ",
"IIIIIZIZIIZ",
"IIIIIZZIIIZ",
"IIIIIZZZIII",
"IIIIIZZZIIZ",
"IIIIIIIZIZI",
"IIIIZIIIIZI",
"IIIIZIIZIII",
"IIIIZIIZI... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.... | 0.971075 | [
0.1496367758624985,
-0.45536035747829384,
0.18475283773428164,
-0.3684316163759148,
-0.19360345235809318,
-0.36498680608954304,
-0.02402021262306687,
-0.839653501305765,
0.05345801004894575,
0.7897347337261236,
0.03575966835865875,
-0.7046537032732973,
1.5558963714302452,
0.521357374977957... | {
"n_parameters": 157,
"n_qubits": 11,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 212 |
406f205c8f68e15d44cfdbce281f4c7d | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 4, "target": 3}]} | {"states": [41, 7], "expectation_value": -3.8060098205825605, "params": [[0.0751, 0.0599, 0.0444], [-0.0787, -0.0591, -0.0478]], "bitstrings": ["010110", "111000"], "total_optimization_steps": 10, "probabilities": [0.035731996799243916, 0.03700553367428606], "optimization_time": 5.750075340270996} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * ... | 11 | 6 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.00817263797266711) q[0];
rz(0.5966647633891988) q[0];
rx(-0.00817263797266711) q[1];
rz(0.13566274477300744) q[1];
rx(3.0563566369992974) q[2];
rz(1.526362272167271) q[2];
rx(2.7143491625185714) q[3];
rz(0.6625473815348293) q[3];
rx(-0.235591289998422) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
2,
2,
2,
2,
1.75,
2,
1.75,
2,
2,
2,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
-0.25
] | 0.974338 | [
-0.00817263797266711,
0.5966647633891988,
0.13566274477300744,
3.0563566369992974,
1.526362272167271,
2.7143491625185714,
0.6625473815348293,
-0.235591289998422,
0.5263775625222091,
3.0339991639572848,
0.17723105258234045
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 12 |
df726e1a3d299de3e2f19b75040db139 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [554, 555], "expectation_value": -72.30355380008558, "params": [[[0.7894, 0.10930000000000001], [-0.0505, 0.1301], [-0.032600000000000004, 0.0028], [-0.0531, -0.0], [0.8011, 0.3531], [0.3774, 0.40290000000000004], [0.7742, 0.44530000000000003], [0.17950000000000002, 0.5866], [0.5915, 0.47190000000000004], [0... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(2) @ Z(0)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(6) @ Z(0)) + 7.5 * (Z(6) @ Z(2)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(8) @ Z(1)) + 7.5 * (Z(9) @ Z(5)) + 16.0 * Z(0) + 3.0 * Z(1) + 1.5 * Z(2) + 8.0 * Z(4) + -3.0 * Z(3) + 4.0 * Z(5) + 13.5 * Z(6) + -5.5 * Z(7) + 2.0 * Z(8) + 0... | 15 | 10 | 3 | {"smallest_eigenvalues": [-92.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.5, "smallest_bitstrings": ["0111010100"], "largest_eigenvalue": 107.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.804198276660287) q[0];
ry(0.16570294198541052) q[1];
ry(0.08155793207096146) q[2];
ry(-0.038259010421208946) q[3];
ry(1.2328018704264072) q[4];
ry(0.02704848043118993) q[5];
ry(0.6803897823336128) q[6];
ry(0.35779156288860503) q[7];
ry(0.7058231923371624) q[8];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIZIIIIIZ",
"IIIZIIIZII",
"IIZZIIIIII",
"IZIIIIIIZI",
"ZIIIZIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII"
] | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
16,
3,
1.5,
8,
-3,
4,
13.5,
-5.5,
2,
0.5
] | 0.970443 | [
0.804198276660287,
0.16570294198541052,
0.08155793207096146,
-0.038259010421208946,
1.2328018704264072,
0.02704848043118993,
0.6803897823336128,
0.35779156288860503,
0.7058231923371624,
0.585968447964059,
0.047410331784324244,
-0.01719968365950074,
-0.055066652386168424,
0.0445751202003676... | {
"n_parameters": 60,
"n_qubits": 10,
"optimal_eigenvalue": -92.5,
"target_ratio": 0.97,
"target_value": -89.725
} | 66 |
d65950f441381bc87796af7b1ba14020 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "targ... | {"states": [16383, 16319], "expectation_value": -0.9373420664152813, "params": [[0.07930000000000001], [-0.0864]], "bitstrings": ["00000000000000", "00000001000000"], "total_optimization_steps": 10, "probabilities": [0.00011326993117839668, 0.00011639716850885222], "optimization_time": 15.067601442337036} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(8) @ Z(10)) + -1.5 * (Z(9) @ Z(10)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(11) @ Z(12)) + -1.5 * (Z(13) @ Z(12)) + 0.5 * (Z(13) @ Z(11)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4)... | 10 | 14 | 1 | {"smallest_eigenvalues": [-16.499999999999964], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.49999999999992, "smallest_bitstrings": ["00000001000000"], "largest_eigenvalue": 14.500000000000028} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
rx(0.07833200733441541) q[0];
rz(1.4890772580790603) q[0];
rx(2.74114002951368) q[1];
rz(1.78670250739893) q[1];
rx(0.046235595030898836) q[2];
rz(2.2517071069930736) q[2];
rx(-1.5826329063664206) q[3];
rz(1.6986364478023663) q[3];
rx(-1.3729992906077069) q[4];
rz(1.48... | 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[14] c;
qubit[14] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZZ",
"IIIIIIIIIIZZII",
"IIIIIIIIIZZIII",
"IIIIIIIIIZIZII",
"IIIIIIIZZIIIII",
"IIIZIZIIIIIIII",
"IIIZZIIIIIIIII",
"IIIIZZIIIIIIII",
"IZZIIIIIIIIIII",
"ZZIIIIIIIIIIII",
"ZIZIIIIIIIIIII",
"IIIIIIIIIIIIZI",
"IIIIIIIIIIIIIZ",
"IIIIIIIIIIZIII",
"IIIIIIIIIIIZII",
"IIIIIIIIIZIIII"... | [
-1,
-1.5,
0.5,
-1.5,
-1,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.97103 | [
0.07833200733441538,
-0.08171906871583642,
2.74114002951368,
0.21590618060403333,
0.04623559503089883,
0.6809107801981773,
-1.5826329063664206,
0.1278401210074699,
-1.3729992906077069,
-0.08101192944268401,
-0.08339565661208866,
0.1773122384121386,
3.076162199260044,
0.5275724214787763,
... | {
"n_parameters": 41,
"n_qubits": 14,
"optimal_eigenvalue": -16.499999999999904,
"target_ratio": 0.97,
"target_value": -16.004999999999907
} | 12 |
e776e7ca61722eeb2742e447edcfe87e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 4, "source": 1, ... | {"states": [51, 115], "expectation_value": -11.725458731613575, "params": null, "bitstrings": ["11001100", "10001100"], "total_optimization_steps": 47, "probabilities": [0.002725986084030044, 0.997272149847847], "optimization_time": 44.130316972732544} | -0.25 * (Z(0) @ Z(5)) + -1.25 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(5)) + -1.25 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -1.25 * (Z(4) @ Z(6)) + -1.25 * (Z(4) @ Z(1)) + 1.0 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -2.25 * Z(5) + -0.25 * Z(0) + 3.0 * Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["10001100", "11111100"], "largest_eigenvalue": 20.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.034122336178231724) q[0];
h q[1];
ry(0.8302250352322847) q[1];
h q[2];
ry(0.8302250352322847) q[2];
h q[3];
ry(0.8302250352322847) q[3];
ry(-0.018743600585612252) q[4];
rz(-pi) q[4];
ry(-0.010377398900047474) q[5];
rz(-pi) q[5];
h q[6];
ry(1.66339586... | 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(1.5709) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIZIIIIZ",
"IZZIIIII",
"IZIIIIIZ",
"IIZIIZII",
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIZZIIII",
"IZIZIIII",
"IIIZIIZI",
"ZIIIIIIZ",
"ZZIIIIII",
"IIZIIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII"
] | [
-0.25,
-1.25,
-0.5,
-1.25,
-1.25,
-0.5,
-1.75,
-0.5,
-1.25,
-1.25,
1,
-1,
-2.25,
-0.25,
3,
0.5,
2.75,
-0.75,
-3,
0
] | 0.996088 | [
1.6633958676674003,
1.6604500704645695,
1.5726364930700092,
-1.5381559222144467,
-1.4640852504813424,
-1.5109462333724724,
-0.17593495145588436,
-0.09894538904475342,
-0.13352548151736307,
0.04487367811379654,
-0.07630612422321119,
0.00679707587567183,
0.025077255090628234,
-0.146377886311... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 1 |
7c13ad0365481b8f4c94fe0692e944b8 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [216, 90], "expectation_value": -0.2926666153962219, "params": [[0.9949, 0.0035, 0.0043, 0.0443, 0.9964000000000001, 0.16590000000000002, -0.30310000000000004, 0.9932000000000001], [0.0001, 0.0007, -0.9595, 0.002, 0.0053, 0.0053, -0.0002, 0.1663], [0.0073, 0.9952000000000001, 0.9707, 0.0012000000000000001, 0... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(2) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (... | 9 | 8 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.25, "smallest_bitstrings": ["01010110", "10010101", "10100101", "10001101", "11010100", "10011100"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(1.5707962879127242) q[0];
h q[0];
rx(1.1096276484305554e-07) q[1];
h q[1];
rx(0.2818339182180038) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIIZZZII",
"IIZIIZII",
"IZIIIZII",
"IZZIIIII",
"IZZIIZII",
"ZIIIZIII",
"IZIIIIIZ",
"IIIZIIZI",
"ZIIIIIZI",
"ZIIZIIII",
"ZIIZIIZI",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.5,
-0.25,
0,
-0.25,
0,
-0.75,
-0.25,
-0.25
] | 0.153846 | [
1.5707962879127242,
1.1096276484305554e-7,
0.2818339182180038,
0.29522327631042783,
1.57079626082328,
-0.35558512854723284,
-0.3488988066315334,
1.570796359971608,
-0.01470265159093928,
-0.2818338345430893,
-1.5707961662067849,
-0.2698570203604268,
0.6860075752835871,
0.4982873472655991,
... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 394 |
2c6eb766ab3528fa7b498e04b0afce9c | 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": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [160, 224], "expectation_value": -5.422221221814361, "params": [0.8005, 0.0032, 0.8038000000000001, 0.0046, 0.8073, -0.0044, 0.7964, 0.0064, 0.8038000000000001, 0.0008, 0.7998000000000001, 0.0068000000000000005, 0.274, 0.0027, 0.098, 0.007200000000000001, 0.4247, 0.0022, 0.3886, 0.0097, 0.3199, -0.0014, 0.56... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) ... | 6 | 8 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["11110001", "00011111"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.6793179022441156) q[0];
rz(1.8380294488421605) q[0];
rx(1.5085738080389355) q[1];
rz(1.766260066961613) q[1];
rx(1.9171795802234828) q[2];
rz(1.6978823486870223) q[2];
rx(0.2173833451285105) q[3];
rz(1.4099701569664642) q[3];
rx(0.1845511291003335) q[4];
rz(1.79154... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIZIIZ",
"IIZIZIII",
"IIZIIIIZ",
"IZIIZIII",
"IZIIIIIZ",
"IIIIZIZI",
"IZIIIIZI",
"IIIZZIII",
"IIIZIIZI",
"ZIIIZIII",
"ZZIIIIII",
"ZIIIIIZI",
"ZIIZIIII",
"IIZIIZII",
"IIIZIZII",
"ZIIIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"IIIIIIZI",
"IIIZIIII",
"ZIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1,
-1,
-1.5,
-1.5,
-1.5,
-2,
-1
] | 0.970323 | [
1.6793179022441154,
0.26723312204726385,
1.5085738080389353,
0.19546374016671658,
1.9171795802234826,
0.12708602189212537,
0.21738334512851054,
-0.1608261698284328,
0.18455112910033347,
0.22074390083081447,
-0.11969720956573368,
0.1205245123293751,
0.11140611929164794,
0.037057902315456435... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 30 |
0ffdbeefe93b743cc0dd9d6d0c8f9c6b | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 4, "target": 5},... | {"states": [2023, 2047], "expectation_value": -11.206348092279667, "params": null, "bitstrings": ["00000011000", "00000000000"], "total_optimization_steps": 100, "probabilities": [0.11553708844706484, 0.3455179317022991], "optimization_time": 173.54302310943604} | -1.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(1) @ Z(5)) + -1.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + -1.0 * (Z(2) @ Z(3)) + 0.5 * Z(4) + 0.5 * Z(0) + 0.5 * Z(5) + 0.5 * Z(1) + 0.5 * Z(7) + 0.5 * Z(6) + 1.0 * Z(9) + ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
ry(1.3887618978015084) q[1];
h q[2];
h q[3];
ry(0.7829896217543004) q[3];
cx q[2], q[3];
ry(-0.7829896217543004) q[3];
cx q[2], q[3];
ry(0.6162176150404253) q[2];
cx q[3], q[2];
ry(-0.6162176150404253) q[2];
cx q[3], q[2];
ry(0.003068392136908836) q[3];... | null | {"node": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[10], q[9];\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... | [
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIIIZIIIIZ",
"IIIIIIIIIZZ",
"IIIIIZIIIZI",
"IIIZZIIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIZZII",
"IIIIIIZIIII",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIIIIIIIZI",
"IIIZIIIIIII",
"IIIIZIIIIII",
"IZIIIIIIIII",
"IIZIIIIIIII",
"ZIIIIIIII... | [
-1.5,
0.5,
-2,
0.5,
-1.5,
-1,
-1.5,
-2,
0.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
0.5,
-1,
0.5,
0.5
] | 0.925904 | [
0.3843946964371491,
0.0008023060256349922,
1.5444439544656654,
1.8407863795660195,
2.7775237956030168,
3.2064885160681826,
1.5659792435086008,
1.2324352300808505,
0.1619724843882306,
1.3101872853066405,
-0.38358881693311925,
-0.6424085548133869,
1.7251723800296492,
2.072429241122817,
-1.... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 500 |
e2d42d54466cad0e47a576fec07e2be9 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [140, 156], "expectation_value": -2.329080436761976, "params": [[[0.7031000000000001, 0.0351, 0.0056, 0.0047], [-0.37670000000000003, 0.2094, 0.5955, -0.1071], [-0.4106, -0.226, 0.5972000000000001, 0.0155], [-0.076, 0.0126, 0.6994, -0.0296], [0.0555, 0.0158, 0.0762, -0.24910000000000002], [0.6959000000000001... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(1) @ Z(3) @ Z(4)) + -0.125 * (Z(1) @ Z(3) ... | 11 | 8 | 3 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.375, "smallest_bitstrings": ["10101001", "10100110", "01100110", "01101001", "01100011"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.9780527284148871) q[0];
rz(-0.32148690663209895) q[0];
ry(-0.7892727298300091) q[1];
rz(0.1975676236284789) q[1];
cx q[1], q[0];
ry(0.8962891467746957) q[0];
rz(0.052798159012349036) q[0];
ry(0.5058660408624864) q[1];
rz(-0.3978263625905253) q[1];
ry(-0.31629941256... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIZZII",
"IIIIZZIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIZIIIZI",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIIZZIZI",
"IIZIZIZI",
"IIZZIIZI",
"IIZZZIII",
"IIZZZIZI",
"IZIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZII... | [
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,
0.5,
0.5,
0.5,
-0.25,
-0.125,
-0.75,
0.125,
-0.125,
-0.125,
-0.5,
-0.5
] | 0.970089 | [
0.9780527284148871,
-0.32148690663209895,
-0.7892727298300091,
0.1975676236284789,
-0.3162994125644556,
-0.3927838541721411,
0.07591008131711265,
0.010362765644280701,
-0.004177353980553352,
-0.014282973755614476,
-0.006464029793591477,
-0.7218823444991684,
-0.3051057789958777,
-0.12106482... | {
"n_parameters": 83,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 69 |
72ec18873d3dc55875c8efef46485470 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4}, {"capaci... | {"states": [32, 31], "expectation_value": -1.7840316611518099, "params": [[0.0334, 0.0247, 0.0482, 0.048400000000000006], [-0.0318, -0.0179, -0.0333, -0.0333]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.028987289733832893, 0.029327416441828937], "optimization_time": 4.55730... | -1.25 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -2.5 * (Z(2) @ Z(3)) + -2.25 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + 2.25 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + 1.0 * Z(3) + -0.25 * Z(0) + -1.25 * Z(4) + -0.25 * Z(1) + 0.75 * Z(2) + 0.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(0.6718764267967782) q[1];
h q[2];
h q[3];
ry(0.6718764267967782) q[3];
cx q[2], q[3];
ry(-0.6718764267967782) q[3];
cx q[2], q[3];
ry(1.5535753734037667) q[2];
cx q[2], q[1];
ry(-0.6718764267967782) q[1];
cx q[2], q[1];
ry(0.8533483681362799) q[3];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IZIIIZ",
"IIZIZI",
"IZIIZI",
"IIZZII",
"IZIZII",
"IIIZZI",
"ZIZIII",
"ZIIIIZ",
"ZZIIII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
-1.25,
-0.75,
-1,
-1.25,
-2.5,
-2.25,
-1,
-1.25,
2.25,
-1,
1,
-0.25,
-1.25,
-0.25,
0.75,
0
] | 0.97048 | [
1.3437528535935563,
1.5535753734037667,
0.8533483681362799,
-0.9362082007339845,
0.4623959360555589,
0.35436786059694586,
0.04302867212514143,
0.0500982270858599,
-1.6453394811112914,
-0.9180761020979388,
-1.558383651126498,
1.0819988838696692,
1.0170011116603797,
-0.25552214888759683,
-... | {
"n_parameters": 32,
"n_qubits": 6,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 108 |
cfcf196786d6d074ade797fa6078553a | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capaci... | {"states": [389, 399], "expectation_value": -3.2689002306252672, "params": [[-0.07880000000000001, -0.0763, -0.0813, -0.08080000000000001], [0.07640000000000001, 0.0711, 0.0738, 0.07400000000000001]], "bitstrings": ["1001111010", "1001110000"], "total_optimization_steps": 10, "probabilities": [0.004105436110263668, 0.0... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(3)) + -0.5 * (Z(9) @ Z(5)) + 0.5 ... | 1 | 10 | 4 | {"smallest_eigenvalues": [-6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -5.833333333333334, "smallest_bitstrings": ["1000101010", "1001111010", "1001111001", "10011... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.38396551843230375) q[1];
cx q[2], q[1];
rz(-0.4140865431265359) q[1];
rx(1.4388351855267667) q[1];
rz(-0.4140865431265359) q[2];
rx(1.4388351855267667) q[2];
cx q[2], q[1];
rz(0.30052165692203675) q[1];
cx q[2], q[1];
rz(-0.8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIZ",
"IIZIZIIIII",
"IIZIIIIIIZ",
"IIIIZIZIII",
"IIIIIIZIIZ",
"IIZIIIZIII",
"IIIIZZIIII",
"IIIIIZIIIZ",
"IIZIIZIIII",
"IIIIIZZIII",
"IZIIZIIIII",
"IZZIIIIIII",
"IZIIIIZIII",
"ZIIIZIIIII",
"ZIZIIIIIII",
"ZIIIIIZIII",
"ZZIIIIIIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIIZIIZIII"... | [
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
0.5,
0.5,
1,
0.5,
-0.5,
-0.5,
-1,
-1,
0.33333333333333337,
0,
0.33333333333333337,
1.5,
0,
-0.5,
1.5,
1.5,
-1.5,
0.6666666666666667,
0.6666666666666667
] | 0.970291 | [
0.034539384198122705,
0.1583793320365209,
0.13174966890782872,
0.023971881933780113,
0.38396551843230375,
0.9058271732652498,
-0.8544721743832904,
-0.8296736871253323,
-0.4140865431265362,
1.4388351855267667,
0.07083576534550291,
0.6657468360247684,
0.4231701738103223,
-0.5671362906981388,... | {
"n_parameters": 37,
"n_qubits": 10,
"optimal_eigenvalue": -6.166666666666667,
"target_ratio": 0.97,
"target_value": -5.9816666666666665
} | 261 |
a12167d92b99eced507bf6abc58f9b3b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [4, 20], "expectation_value": -4.025152751423026, "params": [0.034800000000000005, 0.0017000000000000001, 0.039, -0.0085, 0.054700000000000006, 0.1081, 0.051800000000000006, 0.1097, 0.20170000000000002, -0.023100000000000002, 0.19770000000000001, -0.0008, 0.0767, 0.1032, 0.07690000000000001, 0.10650000000000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * Z(3) + -1.5 * Z(0) + -0.5 *... | 5 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["1110110", "1101110", "1110011", "1011011", "0011111", "1111001", "1101011", "0101111"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.7711795064500494) q[0];
rz(-0.026404203268140164) q[0];
ry(-0.10074902148764961) q[1];
rz(-0.25894003279860156) q[1];
cz q[1], q[0];
ry(1.2493231974560228) q[0];
rz(0.0013212152176097502) q[0];
ry(0.10613416276879395) q[1];
ry(0.9442505162235159) q[2];
rz(0.099299... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZIIIZ",
"IZIZIII",
"IZIIIIZ",
"ZIIIIIZ",
"ZIZIIII",
"ZZIIIII",
"IIIZIZI",
"IZIIIZI",
"ZIIIIZI",
"IIIZZII",
"IZIIZII",
"IIIIZZI",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-0.5,
-2,
-1.5,
-1.5,
-1
] | 0.970262 | [
0.7711795064500494,
-0.026404203268140164,
-0.10074902148764961,
-0.25894003279860156,
0.9442505162235159,
0.09929995747044852,
0.3493413706629419,
-0.2676184730638463,
0.21843456743659198,
-0.27261330959162605,
0.7376427729034467,
0.11569324165414256,
-0.9368843856581821,
0.13026629646627... | {
"n_parameters": 107,
"n_qubits": 13,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 63 |
-3451801507024661273 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 5, 6, 7], [3, 7], [4, 5, 7], [1, 3], [2, 7]]} | {"states": [69, 71], "expectation_value": -1.7865328804824754, "params": null, "bitstrings": ["10111010", "10111000"], "total_optimization_steps": 65, "probabilities": [0.2564293305807721, 0.2847773273615416], "optimization_time": 106.12470269203186} | 0.08333333333333333 * (Z(0) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(7)) + 0.5 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.0833333333333335, -2.0833333333333335, -2.0833333333333335], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.083333333333333, "smallest_bitstrings": ["00111010", "10111000", "00110100"], "largest_eigenvalue": 3.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.420969594240428) q[0];
h q[1];
h q[2];
ry(-0.7403764722602743) q[2];
h q[3];
ry(-0.21444646978763152) q[3];
h q[4];
ry(-0.3560251157421952) q[4];
h q[5];
ry(1.2429616151882183) q[5];
h q[6];
cx q[6], q[0];
ry(0.420969594240428) q[0];
cx q[6], q[0];
ry(-0.3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.1408) 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[... | [
"IIZIIIIZ",
"IZZIIIII",
"IZIIIIIZ",
"ZIZIIIII",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIIIZIII",
"IIZZIIII",
"ZIIZIIII",
"IIIIZIZI",
"ZIIIIZII",
"IIZIIIII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIZIII",
"IIIZIIII",
"IIIIIIZI",
"IIIIIZII"
] | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.29166666666666663,
0.125,
0.125,
0.29166666666666674,
0,
0.16666666666666666,
0,
0
] | 0.971461 | [
1.2429616151882183,
-0.42889293957526303,
1.4548945586298259,
-1.4807529445205485,
-0.19937164346869346,
1.4983844228470942,
0.05622629230140663,
-0.7631789215748819,
-0.7120502314843904,
0.383325886167982,
-0.16880610516601208,
-0.08483264090676701,
-0.4092701563220072,
-0.433781016516982... | {
"n_parameters": 59,
"n_qubits": 8,
"optimal_eigenvalue": -2.0833333333333335,
"target_ratio": 0.97,
"target_value": -2.0208333333333335
} | 34 |
406f205c8f68e15d44cfdbce281f4c7d | 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": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [56, 37], "expectation_value": -0.19956977575316212, "params": [[0.0678, 0.0402], [-0.0763, -0.040400000000000005]], "bitstrings": ["000111", "011010"], "total_optimization_steps": 10, "probabilities": [0.018671637727004576, 0.018677354760975737], "optimization_time": 2.133909225463867} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(3) + 0.0 * Z(1) + -1.0 * Z(2) + -0.5 * 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": ["001110", "011010", "000111"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.00817263797266711) q[0];
rz(0.5966647633891988) q[0];
rx(-0.00817263797266711) q[1];
rz(0.13566274477300744) q[1];
rx(3.0563566369992974) q[2];
rz(1.526362272167271) q[2];
rx(2.7143491625185714) q[3];
rz(0.6625473815348293) q[3];
rx(-0.235591289998422) q[4];
rz(0.... | 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[4], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IIZIZI",
"IZIZII",
"IIZZII",
"ZZIIII",
"ZIIZII",
"IZIIII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-0.5,
0,
-1,
-0.5
] | 0.974338 | [
-0.00817263797266711,
0.5966647633891988,
0.13566274477300744,
3.0563566369992974,
1.526362272167271,
2.7143491625185714,
0.6625473815348293,
-0.235591289998422,
0.5263775625222091,
3.0339991639572848,
0.17723105258234045
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 12 |
c12dc8bfc0d8e8bc2e65cda825a741ab | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 2}]} | {"states": [3, 1], "expectation_value": -0.039383669989943054, "params": [[0.0516, 0.020300000000000002], [-0.054200000000000005, -0.0269]], "bitstrings": ["100", "110"], "total_optimization_steps": 10, "probabilities": [0.12843312894888595, 0.13202899667200577], "optimization_time": 1.0666210651397705} | -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 | 2 | {"smallest_eigenvalues": [-2.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0, "smallest_bitstrings": ["110"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.98693634562561) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.5702754027205156) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.5702754027205152) q[1];
rx(0.1809670407241956) q[1];
rz(-0.0605909341297176) q[2];
cx q[0], q[2];
rz(0.5702754... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(x0) q[0];
cx q[1],... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} | [
"IZZ",
"ZZI",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
-0.5,
-0.25,
0.75,
-0.25,
-0.25,
0.5
] | 0.970753 | [
0.98693634562561,
0.5702754027205156,
-0.0605909341297176,
0.01052034470793032,
0.1809670407241956,
-0.4210489548362983,
0.17941461010927579,
-0.5310091518833534,
-0.24571524346239182,
1.169259756964969,
0.8653272313101511,
0.8751350731179494,
-0.4970495411829845,
-1.6475907910109493,
1.... | {
"n_parameters": 15,
"n_qubits": 3,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 68 |
206b6c7126e1a43a7c0a57973e02662d | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 6... | {"states": [123, 119], "expectation_value": -6.396069375875401, "params": null, "bitstrings": ["110000100", "110001000"], "total_optimization_steps": 72, "probabilities": [0.08999310077217346, 0.8309706613940097], "optimization_time": 102.49080085754395} | -0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + 0.5 ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000100", "101001000", "110001000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7716469204925558) q[0];
h q[1];
ry(-0.419743548754394) q[1];
h q[2];
cx q[2], q[1];
ry(0.419743548754394) q[1];
cx q[2], q[1];
ry(-0.3394805577791961) q[1];
ry(1.0930006028280734) q[2];
h q[3];
ry(1.59285799405076) q[3];
rz(-pi) q[4];
ry(-3.136526372442517... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIZIIIZI",
"IIIIIIZZI",
"IIIZIIZII",
"IIIIZZIII",
"IIIZIIIIZ",
"IZIZIIIII",
"IZIIIIIIZ",
"ZIIZIIIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIZZIIIII",
"IIZIIIIIZ",
"IZZIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IZIIIIIII",
"... | [
-0.5,
0.5,
-0.5,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
0.5,
1,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
-1,
0.5,
1,
1.5,
0,
1.5,
1.5,
-0.5
] | 0.979066 | [
1.59285799405076,
1.5261005232355722,
-1.5432938409851116,
-1.35113857066744,
0.770395955888187,
-0.4800519968211978,
0.6181638241406239,
-0.17087313757605851,
-0.839487097508788,
0.8636913290500219,
-0.6789611155583922,
0.4586185475561028,
-0.41596033641871777,
-0.0189624931872691,
0.18... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 1 |
6322410991403791746 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 7], [6, 7], [5, 6], [2, 5], [0, 5], [1, 4], [3, 5]]} | {"states": [185, 187], "expectation_value": -2.149213722920459, "params": null, "bitstrings": ["01000110", "01000100"], "total_optimization_steps": 67, "probabilities": [0.05347361732767786, 0.6777795626212129], "optimization_time": 99.39159059524536} | 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.0 * Z(7) + 0.0 * Z(5) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -1.5, "smallest_bitstrings": ["10111001", "10111010", "01000101", "11110001", "11110010", "11110011", "10111011", "00001101", "00001100", "00001110", "01000110... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.5591436597965866) q[0];
h q[1];
ry(-0.27790248197932377) q[1];
h q[2];
ry(0.7158851184098305) q[2];
h q[3];
ry(0.7158851184098305) q[3];
h q[4];
cx q[4], q[1];
ry(0.27790248197932377) q[1];
cx q[4], q[1];
ry(-0.5001041322399669) q[1];
ry(1.4782220999434723)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[7], 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] = me... | [
"ZIZIIIII",
"ZZIIIIII",
"IZZIIIII",
"IIZIIZII",
"IIZIIIIZ",
"IIIZIIZI",
"IIZIZIII",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.97044 | [
-0.5558049639586475,
1.4462592575734443,
-0.25565491313307975,
1.431770236819661,
-0.4088298547956041,
1.1182873195931733,
-0.4979799073268414,
0.06392568474005596,
-0.004248449826250986,
0.4578196062438291,
0.24757604559391858,
-0.0020084538740482785,
-0.25230150809162216,
0.2213572509146... | {
"n_parameters": 52,
"n_qubits": 8,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 27 |
-6844950262735946050 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 5], [0, 3], [0, 1], [2, 5], [4, 7], [1, 6]]} | {"states": [163, 135], "expectation_value": -2.1586009437405402, "params": null, "bitstrings": ["01011100", "01111000"], "total_optimization_steps": 68, "probabilities": [0.13828906645200006, 0.3624363889224857], "optimization_time": 66.13715672492981} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(7) + 0.0 * Z(4) + 0.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["01111000", "10001110", "01110001", "10000111"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(-0.05175555850347241) q[1];
h q[2];
ry(0.07668059516527045) q[2];
h q[3];
h q[4];
ry(-0.05175555850347241) q[4];
h q[5];
ry(-0.05175555850347241) q[5];
cx q[3], q[5];
ry(0.05175555850347241) q[5];
cx q[3], q[5];
cx q[3], q[2];
ry(-0.07668059516527045)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[3], q[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] = me... | [
"IIZIZIII",
"IIIIZIIZ",
"IIIIIIZZ",
"IIZIIZII",
"ZIIZIIII",
"IZIIIIZI",
"IIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"ZIIIIIII",
"IIIZIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.976129 | [
-0.10351111700694482,
1.6073404022663307,
-0.2853672027064709,
1.6883468526756187,
0.1533611903305409,
0.16550809385907267,
1.1617456510038802,
-0.8284299223546876,
0.513460523566881,
0.022088197435836482,
-1.0620566861557634,
-0.5995317247169328,
-1.3034410650710218,
0.7752381334240975,
... | {
"n_parameters": 56,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 34 |
f873cf0048fc44701f70d0f09e6d1420 | 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": 4}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [85, 87], "expectation_value": -8.199952806121923, "params": [[0.1163, 0.0978, 0.2063], [-0.34640000000000004, -0.2735, -0.2442]], "bitstrings": ["10101010", "10101000"], "total_optimization_steps": 40, "probabilities": [0.06587829455850175, 0.06842650881984338], "optimization_time": 5.356693267822266} | -0.5 * (Z(0) @ Z(4)) + -1.0 * (Z(3) @ Z(4)) + -1.25 * (Z(1) @ Z(3)) + -1.0 * (Z(6) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -2.0 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(6)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * Z(4) + -0.... | 1 | 8 | 3 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["10101000", "10101010"], "largest_eigenvalue": 11.25} | 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(-0.019342749178970584) q[0];
cx q[4], q[0];
cx q[4], q[3];
rz(0.014010937666325912) q[3];
cx q[4], q[3];
cx q[3], q[1];
rz(-0.40172858844056397) q[1];
cx q[3], q[1];
cx q[4], q[2];
rz(0.045586839198308124) 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIIZZIII",
"IIIIZIZI",
"IZIIIIZI",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIZIZII",
"IIIIZZII",
"IZIIIZII",
"IIZIZIII",
"IIZIIIZI",
"ZIZIIIII",
"IIZIIZII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIZIIIII"
] | [
-0.5,
-1,
-1.25,
-1,
0.75,
-0.5,
-2,
-0.5,
-0.75,
-1,
-0.75,
-1,
-0.25,
-1.5,
-0.25,
0.25,
1,
-0.25,
-0.75,
-1,
2.5
] | 0.97358 | [
-0.019342749178970584,
0.014010937666325912,
-0.40172858844056397,
1.3215843607999782,
0.045586839198308124,
0.047875307479368884,
-1.382927662054454,
-0.32507020581930796,
0.3627544489084335,
0.2937061290503934,
1.2911586018850818,
-1.5963506187461252,
-0.09288222632734316,
0.057826197005... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 264 |
5bfd79024282ae69c62758a244a2de56 | 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": 2}, {"source": 1, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [13, 5], "expectation_value": -2.0470940011266583, "params": [0.0031000000000000003, 0.5816, 0.0036000000000000003, -0.5835, 0.7825000000000001, 0.2499, 0.7923, 0.4219, -0.008700000000000001, 0.557, 0.7989, 0.2664, 0.0022, 0.6067, 0.0015, -0.5812, 0.5813, 0.271, 0.5908, 0.5305, -0.0222, 0.5985, 0.7939, 0.274... | 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(3) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -0.75 * Z(0) + -0.75 * Z(1) + 0.0 * Z(2) + -0.25 * Z(3) + -0.5 * Z(4) + -0.2... | 3 | 6 | 3 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["111010", "110110", "110101", "110011"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(3.040705587759774) q[0];
ry(3.0322761206209288) q[0];
rz(0.23746657912877067) q[0];
rz(-0.5485384081350269) q[1];
ry(0.03463465039766057) q[1];
rz(1.8086014627808424) q[1];
rz(2.1740019225107847) q[2];
ry(2.742027400286282) q[2];
rz(-0.45482682963069987) q[2];
rz(0.8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIIZZI",
"IIIZZZ",
"IZZIII",
"IIZZII",
"ZIIZII",
"ZIZIII",
"ZIZZII",
"ZZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.75,
-0.75,
0,
-0.25,
-0.5,
-0.25
] | 0.974004 | [
1.0529037450256176,
0.06477150500217821,
0.0632023087334098,
0.46017332254292537,
1.2192432119969236,
0.14088225722938502,
1.1314918741657554,
-0.05745195682464036,
-0.04240668812804869,
-0.5477397576739919,
-0.046155027306700576,
-0.6332603826055265,
1.1415462481792484,
-0.100403553526293... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 15 |
a603da1a0fa48a0c889ceccbdae517d6 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, ... | {"states": [20, 52], "expectation_value": -2.077110580858046, "params": [[[-0.0009000000000000001, 0.050800000000000005, 0.003, 0.0007], [-0.2776, -0.0765, 0.2963, -0.2265], [-0.29760000000000003, -0.0745, 0.3549, -0.2232], [-0.159, -0.12190000000000001, 0.4395, 0.0439], [0.22890000000000002, 0.013800000000000002, 0.23... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(0) + -0.25 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -0.25 * Z(4) + -0.5 * Z(5) + -0.25 * Z(6) | 11 | 7 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.25, "smallest_bitstrings": ["1110010", "1011100", "1001011", "1001101", "1010011", "1010110"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.12013546374620043) q[0];
rz(-2.7657142779613313) q[0];
rx(2.422375160516799) q[1];
rz(1.7107104948808987) q[1];
rx(2.971844809689707) q[2];
rz(1.9173206430283765) q[2];
rx(-0.06343407625664142) q[3];
rz(1.7368643240472572) q[3];
rx(1.8818951710672067) q[4];
rz(1.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZZII",
"IZZIIII",
"IIZIIZI",
"ZIIIIZI",
"ZIZIIII",
"ZIZIIZI",
"ZIIIZII",
"IZIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
-1,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25
] | 0.97452 | [
-0.12013546374620043,
1.946674702423359,
2.422375160516799,
0.1399141680860021,
2.971844809689707,
0.3465243162334797,
-0.0634340762566414,
0.16606799725235954,
1.8818951710672067,
0.02925917178505204,
2.866478378027777,
0.8664717337629608,
0.26591522697777975,
1.2093847600605423,
-1.709... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 15 |
82b7510e3c4f18f03c81315097910da2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capaci... | {"states": [1, 31], "expectation_value": -6.266123250957764, "params": null, "bitstrings": ["111110", "100000"], "total_optimization_steps": 45, "probabilities": [0.06491054619726463, 0.7440517742297588], "optimization_time": 40.555935859680176} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(5) + -0.25 * Z(2) + 0.25 * Z(3) + 0.25 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-6.581916184979591e-07) q[0];
h q[1];
ry(0.6434977519720617) q[1];
h q[2];
ry(0.6434977519720617) q[2];
h q[3];
h q[4];
ry(0.785398270325911) q[4];
cx q[3], q[4];
ry(-0.785398270325911) q[4];
cx q[3], q[4];
ry(0.6154797530425266) q[3];
cx q[4], q[3];
ry(-0.61... | 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(1.5626) 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 \... | [
"IIIIZZ",
"ZIIIZI",
"ZIIIIZ",
"IIIZZI",
"IIZIZI",
"IIZZII",
"IZIIZI",
"IZIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IIZIII",
"IZIIII"
] | [
-0.25,
-0.75,
0.5,
-0.25,
-1,
-0.75,
-1,
-1.25,
-1.5,
0.25,
-0.25,
-0.25,
-0.25,
0.25,
0.25
] | 0.965517 | [
1.570796540651822,
1.2309595060850531,
1.2869955039441234,
-1.5707961133230497,
1.8545964968194282,
-0.39631419127463324,
0.6801154830436662,
1.570796550632477,
-0.0000013163832369959182,
3.5289707979888594e-7,
-1.510291118014996,
1.510290485989974,
1.0482933015393622e-7,
0.205718760898137... | {
"n_parameters": 24,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 500 |
7bc4dde9a09d0b94c5097b219891d81a | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [86, 90], "expectation_value": -1.0036805009645906, "params": [0.0016, 0.0008, 0.4002, 0.4056, -0.004200000000000001, 0.023, 0.38530000000000003, 0.39390000000000003, 0.6348, 0.5820000000000001, 0.383, 0.3774, 0.4147, 0.4062, 0.013300000000000001, 0.0114, 0.0067, -0.0012000000000000001, 0.3982, 0.392, 0.007,... | 0.25 * (Z(0) @ Z(1)) + -0.001953125 * (Z(2) @ Z(0)) + -0.001953125 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00078125 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + 0.00078125 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00078125 * (Z(6) @ Z(0)) + -0.00078125 * (Z(6) @ Z(2)) + -0.0015625 *... | 13 | 8 | 4 | {"smallest_eigenvalues": [-1.0070312500000003, -1.0070312500000003], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0070312499999998, "smallest_bitstrings": ["10101010", "10100101"], "largest_eigenvalue": 1.0132812499999997} | 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] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIIIZ",
"IZIIIZII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
0.25,
-0.001953125,
-0.001953125,
0.25,
0.00078125,
-0.00078125,
0.00078125,
-0.00078125,
0.25,
0.00078125,
-0.00078125,
-0.0015625,
0.00078125,
-0.00078125,
-0.0015625,
0.25,
-0.0003906249999999778,
-0.0003906249999999778,
-0.003515625000000022,
-0.003515625000000022,
-0.001... | 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 |
605742faa50c2e92c07356e058fd303f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [6, 33], "expectation_value": -0.9204405270983911, "params": [[-0.06570000000000001, -0.0534, -0.049800000000000004], [0.0777, 0.0646, 0.0655]], "bitstrings": ["111001", "011110"], "total_optimization_steps": 10, "probabilities": [0.023779819278087127, 0.023796645705882066], "optimization_time": 5.0364608764... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(4) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["101011", "100111", "101110", "011011", "111001", "011110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.2519734558329277) q[0];
rz(0.3651187390109438) q[0];
rx(0.549123536582348) q[1];
rz(0.1729633947430669) q[1];
rx(0.43121785023168274) q[2];
rz(-0.3977475527083846) q[2];
rx(0.7480155259603805) q[3];
rz(0.11334574533755185) q[3];
rx(0.9524074886463487) q[4];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZZII",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-1.5,
-0.5,
-1
] | 0.973344 | [
-0.25197345583292763,
0.2954298013317361,
0.549123536582348,
0.1729633947430669,
0.43121785023168274,
-0.3977475527083846,
0.7480155259603805,
0.11334574533755185,
0.9524074886463487,
0.09007031560592105,
-0.034370920448749724,
0.1359556355151768,
0.6730941809643614,
0.021375644081781026,
... | {
"n_parameters": 106,
"n_qubits": 9,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 14 |
91cbb504182391d65e6d72559b8b05e8 | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": ... | {"states": [1023, 1007], "expectation_value": -20.030039727960098, "params": [[[0.0028, 3.1608], [-0.0031000000000000003, 0.0028], [0.0035, 0.0031000000000000003], [-0.0018000000000000002, -0.0024000000000000002], [0.0026000000000000003, 0.0021000000000000003], [-1.6333, -0.0019], [0.0022, -0.0021000000000000003], [0.0... | -2.5 * (Z(0) @ Z(4)) + -2.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -2.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -2.0 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + -2.0 * (Z(9) @ Z(7)) + 0.5 ... | 15 | 10 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["0000010000"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.011205342065046909) q[0];
ry(0.027008862106285073) q[1];
ry(-0.0035925589175988676) q[2];
ry(0.02221623271393044) q[3];
ry(0.025560892645748432) q[4];
ry(-1.745823655979655) q[5];
ry(-0.0030663738345368687) q[6];
ry(0.028834858500427475) q[7];
ry(-0.0705267077618... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIZ",
"IIIIIZIIZI",
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIIZIZII",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIZZII",
"IIZZIIIIII",
"IZZIIIIIII",
"IZIZIIIIII",
"ZIZIIIIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIZIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII"... | [
-2.5,
-2.5,
0.5,
-2.5,
0.5,
-1.5,
-2.5,
0.5,
0.5,
0.5,
-2,
-2,
0.5,
-2,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.97188 | [
-0.011205342065046909,
0.027008862106285073,
-0.0035925589175988676,
0.02221623271393044,
0.025560892645748432,
-1.745823655979655,
-0.0030663738345368687,
0.028834858500427475,
-0.07052670776187223,
-0.02745116877072728,
3.147407160501258,
-0.07185389047963682,
0.016287237895613017,
-0.09... | {
"n_parameters": 18,
"n_qubits": 10,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 6 |
1404362d6866ad860b740d4fd44375f6 | 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": [474, 410], "expectation_value": -65.77196185038693, "params": [[[0.6015, 0.44], [0.5666, 0.5073], [0.6033000000000001, 0.5598000000000001], [0.17700000000000002, 0.42810000000000004], [-0.0303, 0.16010000000000002], [0.1014, 0.5916], [0.48150000000000004, 0.5881000000000001], [0.10400000000000001, 0.5975], ... | 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(4) @ Z(6)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(5) @ Z(7)) + 7.0 * (Z(8) @ Z(1)) + 7.0 * (Z(9) @ Z(8)) + 16.5 * Z(1) + 7.5 * Z(3) + 17.0 * Z(2) + -5.5 * Z(0) + 14.0 * Z(6) + -4.0 * Z(... | 15 | 10 | 4 | {"smallest_eigenvalues": [-106.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -96.0, "smallest_bitstrings": ["1001100101"], "largest_eigenvalue": 141.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.7640022566230577) q[0];
ry(0.9093298700207451) q[1];
ry(0.7370138432267472) q[2];
ry(-0.10347111561390127) q[3];
ry(-0.17963315372119093) q[4];
ry(0.6174371241107103) q[5];
ry(0.027551808731164945) q[6];
ry(0.034639819537366674) q[7];
ry(0.3315737460015288) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZI",
"IIIIIIIZZI",
"IIIIIIZZII",
"IIIIIIIZIZ",
"IIIZIZIIII",
"IIZZIIIIII",
"IIIIZIZIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IZIIIIIIZI",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIZIIIIII",
"IIIIIZIIII",
"IIZIIIIIII",
"IIIIZIIIII",
"IZIIIIIIII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
16.5,
7.5,
17,
-5.5,
14,
-4,
4,
13.5,
6.5,
-5.5
] | 0.971744 | [
0.7640022566230577,
0.9093298700207451,
0.7370138432267472,
-0.10347111561390127,
-0.17963315372119093,
0.6174371241107103,
0.027551808731164945,
0.034639819537366674,
0.3315737460015288,
0.28166523660603454,
-0.0843579688307251,
0.044879334493203554,
0.09414489120190359,
0.119351365965312... | {
"n_parameters": 79,
"n_qubits": 10,
"optimal_eigenvalue": -106,
"target_ratio": 0.97,
"target_value": -102.82
} | 80 |
09f6e2bd7b534b363bffb5f935faaf38 | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [317, 829], "expectation_value": -3.4774535625873315, "params": [[[0.0005, 0.7108], [0.6033000000000001, 0.007200000000000001], [0.9814, 0.0017000000000000001], [0.196, -0.38980000000000004], [0.1915, -0.3909], [0.9932000000000001, 0.0016], [0.9909, -0.0016], [0.9974000000000001, -0.0013000000000000002], [0.... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(1) @ Z(5)) + -0.125 * (Z(4) @ Z(1) @ Z(6)) + -0.125 * (Z(... | 1 | 11 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["10101000001", "11000000110", "10011000010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(1.73654203512136) q[0];
ry(0.09560257450616373) q[0];
rz(-1.0557159673344705) q[0];
rz(1.3669851322351985) q[1];
ry(2.8805057605780076) q[1];
rz(-1.8968178330504413) q[1];
rz(3.0152149015050185) q[2];
ry(2.928955291135759) q[2];
rz(-0.09927194859036881) q[2];
rz(-2.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIIZZZI",
"IIIIIIZIIZI",
"IIIIIZIIIZI",
"IIIIZIIIIZI",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIZZIIZI",
"IIIIZIZIIZI",
"IIIIZZIIIZI",
"IIIIZZZIIII",
"IIIIZZZIIZI",
"IIIZIIZIIII",
"IIZIIIZIIII",
"IIZZIIIIIII",
"IIZZIIZII... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,... | 0.971271 | [
0.19627717757766205,
0.009010318802533696,
0.9587874179317718,
-0.028540415347301812,
1.15423585204512,
0.1270112015739363,
0.13787963572413336,
-0.6394382256037663,
0.0019323232210286603,
-0.37277980600276384,
1.0824821208522852,
0.07073925541866083,
1.020792283100007,
0.11216796311505153... | {
"n_parameters": 51,
"n_qubits": 11,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 11 |
9ab53f7aa1b34f991ec1ef091b962aaf | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 9}, {"source": 4, "target":... | {"states": [511, 127], "expectation_value": -2.1500105595070673, "params": [[0.07970000000000001], [-0.0869]], "bitstrings": ["000000000", "110000000"], "total_optimization_steps": 10, "probabilities": [0.004103085563507696, 0.0041030855635076965], "optimization_time": 2.070957899093628} | -1.5 * (Z(1) @ Z(0)) + -2.0 * (Z(2) @ Z(4)) + 0.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(2)) + -2.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + -2.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + -2.5 * (Z(7) @ Z(8)) + 0.5 *... | 5 | 9 | 1 | {"smallest_eigenvalues": [-18.5, -18.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["000000000", "110000000"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(-1.5707963110076806) q[1];
cx q[0], q[1];
rz(0.6832137086642707) q[0];
rx(-0.9111440687134774) q[0];
rz(0.6832138826884693) q[1];
rx(-0.9111440687134775) q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(-0.8732269411565464) q[2];
cx q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[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[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIZII",
"ZIIIZIIII",
"ZIIIIIZII",
"IIIIZZIII",
"IIIIIZZII",
"IIZIZIIII",
"ZIZIIIIII",
"IIZIIZIII",
"ZIIZIIIII",
"IIIZIZIII",
"IIZZIIIII",
"IZIIIIZII",
"ZZIIIIIII",
"IZIIIZIII",
"IZZIIIIII",
"IZIZIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIIZII",
"... | [
-1.5,
-2,
0.5,
-2,
-2,
0.5,
0.5,
0.5,
-2.5,
0.5,
0.5,
-2,
0.5,
-2.5,
0.5,
-2.5,
-2,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.563858 | [
-1.5707963110076806,
-0.8732269411565464,
-0.17109252809281125,
-0.616256738806983,
0.6832137086642708,
0.683213882688469,
-0.9111440687134776
] | {
"n_parameters": 7,
"n_qubits": 9,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 216 |
b4844a241e7c75ea7eb690acd3c4c004 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [427, 371], "expectation_value": -1.0531059638842124, "params": [[-0.0375, -0.0413, -0.0456, -0.0436], [0.0505, 0.044500000000000005, 0.051800000000000006, 0.051800000000000006]], "bitstrings": ["001010100", "010001100"], "total_optimization_steps": 10, "probabilities": [0.003426851694767033, 0.0034268516947... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.25, "smallest_bitstrings": ["001010100", "001100010", "100001010", "010001100", "010100001", "100010001"], "largest_eigenvalue": 15.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) q[0];
| OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.999879 | [
-0.13358933430461783,
0.05925579854844312,
0.1941292476304146,
-0.0004540644499549003,
-0.07413458086647713,
0.10747849798655963
] | {
"n_parameters": 6,
"n_qubits": 1,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 1 |
7e10b313c0e966d78a431e218b1e1e89 | 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": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, {"source": 3, "ta... | {"states": [161, 163], "expectation_value": -4.067214719763382, "params": [0.7888000000000001, 0.17750000000000002, 0.7929, 0.022600000000000002, 0.0027, 0.3128, -0.0094, 0.2614, 0.7899, 0.16340000000000002, 0.7853, 0.029, 0.003, -0.4067, -0.0061, -0.43670000000000003, 0.0031000000000000003, -0.4701, -0.001200000000000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + -1.0 * Z(3) + 0.0 * Z(0) + -0.5 * Z(2) + -1.0 * Z(1) + -1.0 * Z(5) + -1.0 * Z(6) + -0.5 * Z(4) + 0.0 * Z(7) | 5 | 8 | 2 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["01011100", "01111000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.9628339992251395) q[0];
rz(0.24643778475032496) q[0];
rx(0.031934521230925945) q[1];
rz(0.6957418773789037) q[1];
rx(0.746952282078199) q[2];
rz(0.19202549982061745) q[2];
rx(-0.03353672724594935) q[3];
rz(-0.30813565141290766) q[3];
rx(0.11895133461832372) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIIIZZI",
"IIZIZIII",
"IIZIIZII",
"IIZIIIZI",
"IZIIZIII",
"IZIIIIZI",
"IZIZIIII",
"ZIIZIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII",
"IIIZIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-0.5,
-1,
-1,
-1,
-0.5,
0
] | 0.971124 | [
0.9628339992251392,
0.321276928460635,
0.031934521230925945,
0.48039896751430633,
0.746952282078199,
0.0959376568954999,
-0.03353672724594936,
-0.35070992475926976,
0.11895133461832372,
-0.4306747619097894,
0.07759593497180284,
0.34292022266484173,
0.8259879532623664,
0.2553982184908408,
... | {
"n_parameters": 80,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 6 |
c24dd733315066f7c7da3d578f954d8c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 2}]} | {"states": [46, 47], "expectation_value": -4.499906801932809, "params": null, "bitstrings": ["010001", "010000"], "total_optimization_steps": 23, "probabilities": [1.4544661481581006e-05, 0.9999210579975322], "optimization_time": 16.89467716217041} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["010000"], "largest_eigenvalue": 4.5} | 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... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIZI",
"IZIIZI",
"ZIIIZI",
"IIIZZI",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
0,
0,
0,
0
] | 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 |
6895805260362288845 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 4], [3, 4], [0, 1, 5], [0, 8, 2], [5, 6, 7]]} | {"states": [362, 364], "expectation_value": -0.026514090272595953, "params": [[-0.0526], [0.06860000000000001]], "bitstrings": ["010010101", "010010011"], "total_optimization_steps": 10, "probabilities": [0.0020522336865039475, 0.0020522336865039475], "optimization_time": 0.6944961547851562} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.0000000000000004, -2.0000000000000004, -2.0000000000000004, -2.0000000000000004, -2.0000000000000004, -2.0000000000000004], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["010010011", "100010010", "100010100", "001101000", "000011001", "010010101"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(-0.9948746425947542) q[2];
cx q[4], q[2];
cx q[2], q[0];
rz(-0.3722638967582763) q[0];
cx q[2], q[0];
cx q[0], q[1];
rz(-0.3722638967582763) q[1];
cx q[0], q[1];
cx q[4], q[3];
rz(-0.9948746425947542) 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;
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[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZII",
"IIIIZZIII",
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIZIIIIZ",
"IIIZIIIZI",
"ZIIIIIZII",
"ZIIIIIIIZ",
"IIZZIIIII",
"IZIZIIIII",
"IZZIIIIII",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIZIIIII",
"ZIIIIIIII",
"IIZIIIIII",
"IZIIIIIII"
] | [
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0,
0.16666666666666663,
0,
0.3333333333333333,
0.16666666666666666,
0.333333333333333... | 0.610877 | [
-0.9948746425947542,
-0.3722638967582763,
0.06142473292680199,
-0.8326215055865013,
0.7983016272019697
] | {
"n_parameters": 5,
"n_qubits": 9,
"optimal_eigenvalue": -2.0000000000000004,
"target_ratio": 0.97,
"target_value": -1.9400000000000004
} | 142 |
047a6db213ec2347412434e39dcab446 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "so... | {"states": [446, 511], "expectation_value": -4.552211067239858, "params": [[0.0745, 0.0748, 0.0724], [-0.08120000000000001, -0.07980000000000001, -0.07350000000000001]], "bitstrings": ["11001000001", "11000000000"], "total_optimization_steps": 10, "probabilities": [0.0017880339518451514, 0.0017880339518451531], "optimi... | -0.5 * (Z(9) @ Z(2)) + -0.5 * (Z(10) @ Z(2)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @ Z(10)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(9)) + -1.0 * (Z(4) @ Z(10)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(10)) + 0.5 * (Z(5) @ Z(3)) +... | 1 | 11 | 3 | {"smallest_eigenvalues": [-9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332], "number_of_sm... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(-0.7895976344915955) q[0];
h q[1];
ry(-0.7810861968429474) q[1];
h q[2];
h q[3];
ry(1.6087583371568581) q[3];
h q[4];
ry(1.6087583371568581) q[4];
cx q[4], q[1];
ry(0.7810861968429474) q[1];
cx q[4], q[1];
cx q[4], q[0];
ry(0.7895976344915955) q[0];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IZIIIIIIZII",
"ZIIIIIIIZII",
"ZZIIIIIIIII",
"IIIIIIIZZII",
"IZIIIIIZIII",
"ZIIIIIIZIII",
"IIIIIIZIZII",
"IZIIIIZIIII",
"ZIIIIIZIIII",
"IIIIIIZZIII",
"IIIIIZIIZII",
"IZIIIZIIIII",
"ZIIIIZIIIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIZIIIZII",
"IZIIZIIIIII",
"ZIIIZIIIIII",
"IIIIZIIZI... | [
-0.5,
-0.5,
1,
0.5,
-1,
-1,
0.5,
-1,
-1,
1,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
1,
-0.3333333333333333,
1,
-2.5,
-2.5,
2.5,
2.5,
1.5,
1.5,
1.5,
1.5,
-1,
... | 0.97411 | [
1.6087583371568581,
-1.5621723936858949,
-1.579195268983191,
-1.7000663403512135,
1.0380739879293168,
0.7350162679663793,
1.5754527001879863,
-0.7775594481828644,
-1.3800772367519494,
0.28813208000335316,
-0.7211051201233013,
1.3146153603862532,
-0.355182142317478,
-0.2241765857557586,
0... | {
"n_parameters": 54,
"n_qubits": 11,
"optimal_eigenvalue": -9.333333333333332,
"target_ratio": 0.97,
"target_value": -9.053333333333333
} | 5 |
2448092973174194494 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 5, 6], [1, 4, 5, 6, 7], [8, 1, 3], [1, 3, 5], [0, 2, 3, 5, 8], [0, 1, 5, 7], [0, 1, 4, 7], [8, 1, 6], [8, 4, 7], [2, 7], [1, 3, 6, 7]]} | {"states": [431, 303], "expectation_value": -1.661682290331321, "params": [1.0053, -0.0609, 0.9956, 0.0081, 0.9830000000000001, 0.0936, 0.9686, 0.0005, 0.7473000000000001, 0.1358, 0.5224, 0.0081, 1.0005, -0.0673, 0.9945, 0.008700000000000001, 0.9919, 0.138, 0.92, 0.0005, 1.0027000000000001, -0.0753, 1.0013, 0.0028, 0.9... | 0.13333333333333333 * (Z(0) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(2)) + 0.21666666666666667 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.13333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.3 * (Z(1) @ Z(5)) + 0.3 * (Z(1) @ Z(6)) + 0.08333333... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.1500000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.9000000000000004, "smallest_bitstrings": ["011010000"], "largest_eigenvalue": 10.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.3745202866252717) q[0];
rz(1.5980117353807817) q[0];
rx(0.23364839971616042) q[1];
rz(1.5518000342241542) q[1];
rx(0.4416972108715981) q[2];
rz(1.3863509142563482) q[2];
rx(1.8641354012493396) q[3];
rz(1.652479473273111) q[3];
rx(0.6310120026956889) q[4];
rz(1.7483... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"IIZZIIIII",
"IIIIIIIZZ",
"IIIZIIIZI",
"IIZIIIIZI",
"IIIIZIIIZ",
"IIIZZIIII",
"IIZIZIIII",
"IIIIZIIZI",
"IZIIIIZII",
"IZIIIIIIZ",
"IZIZIIIII",
"IZZIIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"... | [
0.13333333333333333,
0.13333333333333333,
0.21666666666666667,
0.08333333333333333,
0.08333333333333333,
0.13333333333333333,
0.16666666666666666,
0.3,
0.3,
0.08333333333333333,
0.05,
0.05,
0.13333333333333333,
0.5,
0.16666666666666666,
0.13333333333333333,
0.13333333333333333,
0.3... | 0.973973 | [
1.3745202866252717,
0.027215408585885434,
0.23364839971616042,
-0.018996292570742784,
0.4416972108715981,
-0.18444541253854818,
1.8641354012493396,
0.08168314647821387,
0.6310120026956889,
0.17758303620265242,
2.0121726402104043,
0.08927279700255827,
1.6241462014416461,
0.19060425400034856... | {
"n_parameters": 41,
"n_qubits": 9,
"optimal_eigenvalue": -3.1500000000000004,
"target_ratio": 0.97,
"target_value": -3.0555000000000003
} | 84 |
-9048945323274614222 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 3, 6, 7, 8, 9], [1, 2, 4, 9], [0, 2, 5, 7], [0, 1, 2, 3, 8, 9], [2, 3, 4, 5, 6], [3, 5, 6, 8, 9], [0, 3, 4, 7], [0, 2, 4, 6], [9, 4, 5, 6], [9, 3, 4, 6], [1, 2, 6, 7, 9], [0, 3, 5, 6, 8], [0, 8, 2, 4]]} | {"states": [215, 247], "expectation_value": -2.2286423982064223, "params": [0.5585, 0.5682, 0.556, 0.0079, 0.5555, 0.6038, 0.553, 0.0038, 1.5561, 0.0051, 1.5558, 0.0021000000000000003, 1.5299, -0.0018000000000000002, 1.5310000000000001, 0.0077, 0.905, 0.38420000000000004, 0.8815000000000001, 0.0061, 1.4714, 0.371200000... | 0.05714285714285714 * (Z(0) @ Z(1)) + 0.05714285714285714 * (Z(3) @ Z(1)) + 0.19047619047619047 * (Z(3) @ Z(0)) + 0.07380952380952381 * (Z(6) @ Z(1)) + 0.15714285714285714 * (Z(6) @ Z(0)) + 0.2571428571428571 * (Z(6) @ Z(3)) + 0.07380952380952381 * (Z(7) @ Z(1)) + 0.19047619047619047 * (Z(7) @ Z(0)) + 0.107142857142857... | 7 | 10 | 1 | {"smallest_eigenvalues": [-2.8095238095238093], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.773809523809524, "smallest_bitstrings": ["1100001000"], "largest_eigenvalue": 12.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.007164088753699247) q[0];
rz(0.8678501515266097) q[0];
rx(-0.07999706165371107) q[1];
rz(0.7359991787576838) q[1];
cx q[1], q[0];
rz(-0.26041310355963543) q[0];
cx q[1], q[0];
rx(-0.050787466198390835) q[0];
rz(0.17318303947454552) q[0];
rx(0.3899738600958478) 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",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIIZIII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZIIIZIII",
"IIZZIIIIII",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IZIIIIZIII",
"IZIZIIIIII",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIIZIII",
"ZIIZIIIIII",
"ZIZIIIIIII"... | [
0.05714285714285714,
0.05714285714285714,
0.19047619047619047,
0.07380952380952381,
0.15714285714285714,
0.2571428571428571,
0.07380952380952381,
0.19047619047619047,
0.10714285714285714,
0.07380952380952381,
0.05714285714285714,
0.19047619047619047,
0.15714285714285714,
0.1238095238095238... | 0.978801 | [
0.007164088753699246,
0.6074370479669741,
-0.07999706165371107,
0.7359991787576838,
1.94466919400207,
-0.07552031219311092,
1.5210672118919921,
-0.17448504120182176,
1.201853517205398,
0.007905023233120482,
1.7794290317838017,
0.31086690760038227,
-0.16528974130140098,
-0.4039927035576051,... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -2.8095238095238093,
"target_ratio": 0.97,
"target_value": -2.725238095238095
} | 17 |
51da79901477df671eec43cf9e4a37b8 | 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": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [828, 831], "expectation_value": -13.813043859622896, "params": null, "bitstrings": ["0011000011", "0011000000"], "total_optimization_steps": 100, "probabilities": [0.15798642037567837, 0.47401997249223465], "optimization_time": 204.9129102230072} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(6)) + -1.0 * (Z(8) @ Z(9)) + 0.5 * Z(1) + 1.0 * Z(0) + -1.5 * Z(2) + -1.0 * Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.0, -16.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -15.0, "smallest_bitstrings": ["1111000000", "0011000000"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.19923884851453072) q[0];
h q[1];
ry(0.19923884851453072) q[1];
h q[2];
cx q[2], q[0];
ry(-0.19923884851453072) q[0];
cx q[2], q[0];
cx q[0], q[1];
ry(-0.19923884851453072) q[1];
cx q[0], q[1];
ry(-0.20487673262913325) q[2];
cx q[0], q[2];
ry(0.204876732629... | null | {"node": 3} | {"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[2], 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] = measu... | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"IIZIZIIIII",
"IIZIIZIIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIZIIIIIII"... | [
-1.5,
0.5,
-2.5,
0.5,
-2,
-2,
1,
-2,
-2,
1,
-2,
-1,
0.5,
1,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.973865 | [
0.39847769702906144,
-0.013190898449560052,
1.755424000063327,
1.4722957035454618,
1.2916073540946518,
1.16949290368225,
-1.3916443848109796,
-0.4097534652582665,
-0.3176655948647291,
-0.08930551473379758,
2.117915821219868,
2.4286565540874308,
0.4740725858175199,
0.2678858149602923,
1.1... | {
"n_parameters": 33,
"n_qubits": 10,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 73 |
05a2057eb1abf699c2e603e40944153f | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "... | {"states": [1008, 1023], "expectation_value": -1.4128427357439992, "params": [[-0.0721], [0.06860000000000001]], "bitstrings": ["110000001111", "110000000000"], "total_optimization_steps": 10, "probabilities": [0.00047854959309700834, 0.0005010464529406632], "optimization_time": 2.1860249042510986} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + -2.0 * (Z(10) @ Z(8)) + -2.0 * (Z(11) @ Z(9)) + -2.0 * (Z(11) @ Z(8)) + -2.0 * (Z(11) @ Z(10)) + -1.0 * Z(1) + -1.... | 1 | 12 | 1 | {"smallest_eigenvalues": [-25.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["110000000000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.0930080098220504) q[0];
cx q[1], q[0];
rz(1.5713830925079062) q[0];
rx(1.560285253500013) q[0];
rz(1.5713830925079062) q[1];
rx(1.560285253500013) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.0930080098220504) q[2];
cx q[3], q[2];
h q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIIZZIII",
"IIIIIIIZIZII",
"IIIIIZZIIIII",
"IIIIZZIIIIII",
"IIIIZIZIIIII",
"IIZZIIIIIIII",
"IZZIIIIIIIII",
"IZIZIIIIIIII",
"ZIZIIIIIIIII",
"ZIIZIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIZIII",
"IIIIIIIIIZII",
"IIIIIIIZI... | [
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
0.5,
-1.5,
-2,
-2,
-2,
-2,
-2,
-2,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.730632 | [
-0.0930080098220504,
-1.299299577481566,
0.00144321472074733,
1.5713830925079058,
1.5602852535000131
] | {
"n_parameters": 5,
"n_qubits": 12,
"optimal_eigenvalue": -25.5,
"target_ratio": 0.97,
"target_value": -24.735
} | 187 |
edc3bac605c0e8fb4f027513dd92e8fb | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [20, 6], "expectation_value": -3.473756712958944, "params": null, "bitstrings": ["01011", "11001"], "total_optimization_steps": 15, "probabilities": [0.07348052951562349, 0.9007122774688736], "optimization_time": 9.817384958267212} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + -0.5 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["01011", "11001"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.16175234084033957) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.16175234084033957) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.16175234084033957) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.16175234084033957) q[4];
c... | 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",
"IZIZI",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"ZZIII",
"IIZZI",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1.5,
-0.5
] | 0.972373 | [
-0.16175234084033957,
-1.87532801107341,
-0.05801357308838576,
0.10605362145925226,
-1.1416650171566816,
0.4399114001229122,
1.0360662674525876,
-1.009520344317765,
0.7718866700779633,
-0.5658460915133537,
0.2880179831430165,
-2.7932233839467817,
-0.24448320489468112,
-0.7290022026259505,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 239 |
b2ad92d1453e889b732cbfcfd082cd41 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [490, 234], "expectation_value": -78.02818797198164, "params": [0.48650000000000004, 0.32830000000000004, 1.0675000000000001, -0.0035, 1.0689, -0.0034000000000000002, 1.0695000000000001, 0.2609, 0.0471, 0.5912000000000001, 1.0734000000000001, 0.057800000000000004, 0.2968, 0.3796, 1.0734000000000001, 0.1673, ... | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-85.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 174.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(0.07331643645102212) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.07331643645102212) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.07331643645102212) q[1];
cx q[2], q[1];
h q[3];
cx q[0], q[3];
rz(0.07331643645102212) 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_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIZIIZII",
"IIIIIZIIZ",
"IIIZIZIII",
"IIIZZIIII",
"IIIIZZIII",
"IIZIIIIZI",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIIZIII",
"IIIIZIIII",
"... | [
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,
9.5,
22.5,
11.5,
20.5,
11.5,
0.5,
4.5,
19,
7.5
] | 0.956272 | [
0.07331643645102212,
1.3672231817191602,
-1.5677865044421424,
-1.6506634873926307,
-1.5934745094891105,
1.5118818624675805,
-1.7812763995064638,
1.3284599912179063,
1.1535493641022598,
-0.3699990203531776,
-0.6428687851956907,
-0.1084779865352908,
0.6312678235710382,
-0.49023685973430714,
... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -85.5,
"target_ratio": 0.97,
"target_value": -82.935
} | 500 |
-5952293947900166140 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 2, 3, 4, 5, 6, 7, 8, 9, 11], [0, 2, 3, 5, 7, 8, 9, 10, 11], [1, 2, 4, 5, 6, 8, 9], [0, 1, 2, 3, 4, 6, 7, 8, 9, 10], [0, 3, 5, 6, 7, 8, 9, 10, 11], [8, 1, 11], [0, 1, 2, 3, 4, 5, 7, 9, 10, 11]]} | {"states": [3934, 3932], "expectation_value": -1.2882033378115738, "params": [1.0069000000000001, 0.4514, 2.7542, -0.0029000000000000002, 3.024, 0.0022, 3.1388000000000003, 0.0126, 3.3862, -0.9500000000000001, 3.1384000000000003, -0.021500000000000002, 0.7512000000000001, 0.7761, 2.7572, -0.0029000000000000002, 3.0049,... | 0.04722222222222223 * (Z(0) @ Z(2)) + 0.04722222222222223 * (Z(3) @ Z(2)) + 0.061111111111111116 * (Z(3) @ Z(0)) + 0.05714285714285715 * (Z(4) @ Z(2)) + 0.03333333333333333 * (Z(4) @ Z(0)) + 0.03333333333333333 * (Z(4) @ Z(3)) + 0.05992063492063492 * (Z(5) @ Z(2)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(3)) + 0.04603... | 4 | 12 | 1 | {"smallest_eigenvalues": [-1.3571428571428572], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.3571428571428568, "smallest_bitstrings": ["000010100011"], "largest_eigenvalue": 6.999999999999997} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.4693248670773453) q[0];
rz(1.928374625542375) q[0];
rx(2.688599753996905) q[1];
rz(1.4706685625620892) q[1];
rx(2.982383524786363) q[2];
rz(1.4953790356520464) q[2];
rx(-3.064014240061195) q[3];
rz(1.8465383577681873) q[3];
rx(-2.9467475565227876) q[4];
rz(0.57111... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIIIIIZZII",
"IIIIIIIIZIIZ",
"IIIIIIIZIZII",
"IIIIIIIZIIIZ",
"IIIIIIIZZIII",
"IIIIIIZIIZII",
"IIIIIIZIIIIZ",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIZII",
"IIIIIZIIIIIZ",
"IIIIIZIIZIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIZIIIIZII",
"IIIIZIIIIIIZ",
"IIIIZIIIZ... | [
0.04722222222222223,
0.04722222222222223,
0.061111111111111116,
0.05714285714285715,
0.03333333333333333,
0.03333333333333333,
0.05992063492063492,
0.05,
0.05,
0.046031746031746035,
0.046031746031746035,
0.03611111111111111,
0.03611111111111111,
0.046031746031746035,
0.04880952380952381,... | 0.971015 | [
1.4693248670773453,
0.3575782987474781,
2.688599753996905,
-0.10012776423280717,
2.982383524786363,
-0.07541729114284962,
3.2191710671183915,
0.27574203097329136,
3.336437750656799,
-0.9996775375147633,
3.0150968765808575,
-0.035417015383885,
0.6856682519632025,
0.6161469647183094,
2.713... | {
"n_parameters": 34,
"n_qubits": 12,
"optimal_eigenvalue": -1.3571428571428572,
"target_ratio": 0.97,
"target_value": -1.3164285714285715
} | 11 |
77cdfb5942032ce48bbd0ef681be7b96 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"sour... | {"states": [388, 420], "expectation_value": -8.048482741604237, "params": [[[0.8052, -0.0035], [0.8008000000000001, -0.0041], [-0.0033, 0.37620000000000003], [0.7959, -0.0033], [0.1477, -0.3279], [-0.011600000000000001, 0.3794], [0.8088000000000001, -0.0006000000000000001], [0.0036000000000000003, 0.43110000000000004],... | 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(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(4) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["001011011"], "largest_eigenvalue": 27.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(2.105312366158402) q[0];
ry(2.8565879090170103) q[0];
rz(-0.680889917467256) q[0];
rz(-3.137390730611118) q[1];
ry(2.9492488339396585) q[1];
rz(0.1810933610254919) q[1];
rz(1.432284995143882) q[2];
ry(0.22894080945381626) q[2];
rz(-1.194440542915047) q[2];
rz(2.54017... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIIIZ",
"IIIIIIZZI",
"IIIZIIIZI",
"IZIIIIZII",
"IZIIIIIZI",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIIIIIIZI",
"ZZIIIIIII",
"IIIIIZZII",
"IIIZIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"IIIZZIIII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIIZZIII",
"IZZIIIIII",
"ZIZIIIIII",
"IIZIZIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-2,
-1.5,
-2.5,
-3,
-2,
-2,
-1
] | 0.97148 | [
1.3541896420308193,
0.14379052135876472,
1.3920489148626267,
0.1954064508376257,
0.3072968883710201,
0.3718410060103433,
1.4003534453072013,
0.049693129263516586,
0.09346275509973623,
-0.21400993519360695,
0.08735438099013024,
1.8306808799149064,
0.18063233463714534,
0.28148893482369963,
... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 16 |
d64cdfb0330688360d8e7e9aacc7d340 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 12, "source": 0, "target": 5}, {"weight": 11, "source": 1, "ta... | {"states": [430, 236], "expectation_value": -8.628271198226217, "params": [[0.054], [-0.0685]], "bitstrings": ["001010001", "100010011"], "total_optimization_steps": 10, "probabilities": [0.004115816120709028, 0.004447460458948689], "optimization_time": 1.8480730056762695} | 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(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 12.0 * Z(1) + 9.5 * Z(0) + 15.0 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-69.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.0, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 144.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.10233588057642375) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.10233588057642375) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.10233588057642375) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.10233588057642375) q[3];
cx q[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[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIZIIZII",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"ZIIIIZIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
12,
9.5,
15,
5.5,
6,
16,
13,
5,
3.5
] | 0.970148 | [
-0.10233588057642375,
-1.972954297576704,
-2.3850419836234593,
-1.297796695472286,
-0.8416997263869539,
1.0253532726422685,
-0.7924832909763568,
-0.384709670388384,
0.4953370609194741,
0.9148457820585352,
0.0481164808355527,
0.10362743334425072,
0.42933531128712676,
-1.5105622714494802,
... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -69,
"target_ratio": 0.97,
"target_value": -66.92999999999999
} | 81 |
78fa1de4f4a21ed4fe88b300377e8f4a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [49, 57], "expectation_value": -3.455284185089466, "params": [-0.0018000000000000002, 0.1615, -0.005200000000000001, 0.1574, 0.30910000000000004, -0.0912, 0.3039, -0.0125, 0.3074, -0.0966, 0.30510000000000004, -0.0222, 0.3, -0.0961, 0.2987, 0.0038, -0.0047, 0.165, -0.0006000000000000001, 0.157, 0.04860000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 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(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(6) | 5 | 7 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000110"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.1304718053592922) q[0];
rz(0.08317965897522939) q[0];
rx(0.2900504482646137) q[1];
rz(-0.18829532181346575) q[1];
rx(0.5890408046485281) q[2];
rz(-0.04048806474972233) q[2];
rx(0.48578622321668796) q[3];
rz(-0.1889192019892203) q[3];
rx(-0.06916883436876675) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZZIIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1.5,
-0.5,
-0.5,
-1.5,
-1,
-0.5
] | 0.973257 | [
-0.1304718053592922,
0.05152563206170092,
0.2900504482646138,
-0.195018097202669,
0.5890408046485284,
-0.0005057222015976623,
0.48578622321668796,
-0.06278194468713005,
-0.06916883436876677,
0.15393805400353994,
0.13914744505617316,
0.03389002351417578,
0.6013866359115193,
-0.1438901959192... | {
"n_parameters": 96,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 12 |
b575860502e0560613ed09a59a899ee7 | 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": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [209, 211], "expectation_value": -12.865623478649773, "params": null, "bitstrings": ["100101110", "100101100"], "total_optimization_steps": 55, "probabilities": [0.3203118000470969, 0.4267221546284856], "optimization_time": 72.69040250778198} | -0.75 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(8) @ Z(2)) + 2.25 * (Z(8) @ Z(0)) + -1.25 * (Z(8) @ Z(1)) + -1.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(6)) + -0.25 * (Z(4) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-13.75, -13.75, -13.75, -13.75, -13.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -12.75, "smallest_bitstrings": ["100111110", "100100000", "100101110", "100101100", "100101000"], "largest_eigenvalue": 14.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.6747571563390294) q[0];
h q[1];
ry(1.5707963238176894) q[1];
h q[2];
ry(0.7853981619088447) q[2];
cx q[1], q[2];
ry(-0.7853981619088447) q[2];
cx q[1], q[2];
h q[3];
ry(-1.3495143126780589) q[3];
h q[4];
ry(0.5128520253092295) q[4];
ry(-0.1436995236604681)... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[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] = m... | [
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIZIZIII",
"IIIZIIIZI",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"IZIIIZIII",
"IZZIIIIII",
"IZIIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIIZIIIII",
"ZIIIIIIII",
"IIZIIIIII",
"... | [
-0.75,
-1.25,
-1,
-0.5,
-0.25,
-1,
2.25,
-1.25,
-1.5,
-0.25,
-0.75,
-0.5,
-0.75,
-0.25,
0.75,
-0.25,
-2.5,
2.5,
-0.5,
0,
-1.25,
1,
0.25
] | 0.944693 | [
1.5707963238176894,
-1.3495143126780589,
1.1712080563313636,
-0.1669381602266709,
0.37137860651958127,
-1.2833972152299074,
-1.646619630057409,
-0.47114339462441057,
0.028209621441536343,
1.025704050618459,
3.195662669943168e-8,
-0.25795750505028736,
0.5157535956890039,
8.828875549406355e-... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 407 |
-3628125027372003335 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 2, 7, 8, 9], [0, 2, 4, 5], [0, 4, 7], [3, 5], [1, 6]]} | {"states": [439, 437], "expectation_value": -1.766299787088055, "params": [0.08900000000000001, -1.3557000000000001, 0.08460000000000001, 0.005200000000000001, 1.7155, 0.0548, 1.4321000000000002, 0.0039000000000000003, 2.2325, 0.1063, 0.9089, 0.001, 0.0023, -0.7405, -0.0022, 0.0006000000000000001, 2.1922, 0.1078, 0.946... | 0.03333333333333333 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.11666666666666667 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(7) @ Z(1)) + 0.19999999999999998 * (Z(7) @ Z(0)) + 0.03333333333333333 * (Z(7) @ Z(2)) + 0.03333333333333333 * (Z(8) @ Z(1)) + 0.03333333333333333 * (Z(8) @ Z(0)) + 0.03333333333333... | 5 | 10 | 1 | {"smallest_eigenvalues": [-1.7833333333333332, -1.7833333333333332, -1.7833333333333332, -1.7833333333333332, -1.7833333333333332, -1.7833333333333332, -1.7833333333333332, -1.7833333333333332, -1.7833333333333332], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -1.7833333333333328, "smallest_bitstrings":... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.00786530871284103) q[0];
rz(-1.228827207214036) q[0];
rx(1.8586378079088421) q[1];
rz(0.014596626834921356) q[1];
rx(2.1981041065127083) q[2];
rz(0.17393885114021934) q[2];
rx(-0.06447636668547219) q[3];
rz(-0.908714157843967) q[3];
rx(2.3129479069350913) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZIIIIZII",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IZIIIIIZII",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIZIIZIIII",
"IIIIZIIIIZ",
"IIIIZIIZII"... | [
0.03333333333333333,
0.03333333333333333,
0.11666666666666667,
0.03333333333333333,
0.19999999999999998,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.033333333333333... | 0.971321 | [
0.00786530871284103,
-1.1874367540990594,
1.8586378079088424,
-0.010902718495850092,
2.198104106512708,
0.13782703301104748,
-0.06447636668547219,
-0.7773915120752639,
2.3129479069350913,
0.29716750771617895,
2.049639744439297,
-0.02543775663629419,
0.0027106334238488627,
-0.18184101587252... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -1.7833333333333332,
"target_ratio": 0.97,
"target_value": -1.7298333333333331
} | 6 |
21753b302eb1bd3f74578977ac4a6f99 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [139, 171], "expectation_value": -40.89413928654819, "params": [[[0.8061, 0.7876000000000001], [-0.3108, 0.8013], [0.8094, 0.8015], [0.39540000000000003, 0.7886000000000001], [0.8008000000000001, 0.7893], [-0.2879, 0.8043], [0.7967000000000001, 0.795], [0.36810000000000004, 0.7932], [-0.3462, 0.3514], [-0.10... | 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(6) @ Z(2)) + 7.5 * (Z(6) @ Z(4)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(7) @ Z(4)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(8) @ Z(3)) + 7.5 * (Z(9) @ Z(1)) + 3.5 * Z(1) + 24.5 * Z(2) + 25.0 * Z(4) + 2.5 * Z(3) + 23.0 * Z(6) + -6.5 * Z(5... | 15 | 10 | 2 | {"smallest_eigenvalues": [-112.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -105.0, "smallest_bitstrings": ["1101010100"], "largest_eigenvalue": 175.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.5500007827329187) q[0];
ry(-0.07161687512565854) q[1];
ry(1.4738847302719698) q[2];
ry(-0.044921559064993795) q[3];
ry(0.8932442259425007) q[4];
ry(0.40912096125707736) q[5];
ry(0.19815620537965767) q[6];
ry(0.04124255146632004) q[7];
ry(0.13907990173551102) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIZIIIZII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIZIIIIZII",
"IIZIIZIIII",
"IIZZIIIIII",
"IZIIIIZIII",
"ZIIIIIIIZI",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII"... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
3.5,
24.5,
25,
2.5,
23,
-6.5,
9.5,
1.5,
-0.5,
-10
] | 0.9765 | [
1.5500007827329187,
-0.07161687512565854,
1.4738847302719698,
-0.044921559064993795,
0.8932442259425007,
0.40912096125707736,
0.19815620537965767,
0.04124255146632004,
0.13907990173551102,
-0.010092277571080279,
0.9957342535875939,
0.9776763109777127,
0.7295766901213108,
0.7249762156394995... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -112,
"target_ratio": 0.97,
"target_value": -108.64
} | 61 |
0ae9b6f2b61290137ab22e2dafb0c164 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [45, 86], "expectation_value": -0.24677834217944022, "params": [[-0.057600000000000005, -0.0599, -0.058600000000000006], [0.0653, 0.07060000000000001, 0.0703]], "bitstrings": ["1010010", "0101001"], "total_optimization_steps": 10, "probabilities": [0.01121043608010762, 0.01121043608010762], "optimization_tim... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -1.0, "smallest_bitstrings": ["1000011", "0111000", "1010010", "0101100", "0101001", "0010110", "1100001", "0100110", "0100101", "1000110", "0011010"], "largest_eige... | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-2.877107649955667) q[0];
rz(-pi) q[0];
ry(-0.05357145502017478) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2987883161683555) q[2];
ry(-0.03652883594563631) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.008100928029173525) q[3];
cx q[2], q[3];
ry(-0.03652883594563631) q[4];
rz(-pi) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIZZIIZ",
"IZIZIII",
"ZIIZIII",
"ZZIIIII",
"ZZIZIII",
"IZIIIZI",
"IIZIZII",
"ZIIIZII",
"ZIZIIII",
"ZIZIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0,
-0.25,
0,
0,
0,
-0.25,
0
] | 0.99193 | [
-1.547794302812402,
-1.5261665628200867,
1.2987883161683555,
-0.01620185605834705,
0.015046013984830048,
0.20950853127499908,
0.061138862075359936
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
6ce86fd90cfcfc8619e1d79aa454f77b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [0, 1], "expectation_value": -8.448149605752391, "params": [-0.0029000000000000002, -0.0847, -0.0018000000000000002, -0.0927, 0.0054, -0.1165, 0.0036000000000000003, -0.1419, 0.0026000000000000003, -0.14850000000000002, 0.0047, -0.1443, -0.0007, -0.1426, 0.006200000000000001, -0.14830000000000002, -0.0017000... | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @... | 5 | 9 | 4 | {"smallest_eigenvalues": [-11.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 7.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.042183601213293724) q[0];
rz(-0.2379157173013633) q[0];
rx(0.041866752753559604) q[1];
rz(-0.16714895785697248) q[1];
rx(-0.2918772183227563) q[2];
rz(0.015045320069528856) q[2];
rx(-0.023938965135507136) q[3];
rz(-0.1333700161811624) q[3];
rx(0.11242703318236696) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIZIIIIIZ",
"IIZIIIZII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZZIIIIII",
"IIIIZIIZI",
"IIIIZIZII",
"IIZIZIIII",
"IZIIZIIII",
"IIIIIZZII",
"IZIIIZIII",
"IIIIZZIII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIIZIIIZI",
"IZIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"... | [
-0.5,
-1,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
1.75,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
0.5,
0.25,
-0.25,
-1,
-0.25,
1.5,
-0.25
] | 0.970831 | [
0.04218360121329372,
-0.28452661302214677,
0.04186675275355961,
-0.15223136005094104,
-0.29187721832275637,
0.048940938675368625,
-0.023938965135507133,
-0.19014708149658313,
0.11242703318236696,
-0.1095468946398436,
-0.07412001935728986,
-0.062316060849386276,
-0.010396061229373844,
-0.01... | {
"n_parameters": 150,
"n_qubits": 9,
"optimal_eigenvalue": -11.25,
"target_ratio": 0.97,
"target_value": -10.9125
} | 6 |
3d599008e6d247101eb02503201a8a05 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 4, "so... | {"states": [30, 15], "expectation_value": -0.1659315257805805, "params": [[-0.2695, 0.30210000000000004, 0.0006000000000000001, 0.3037, -0.26830000000000004], [0.2625, 0.30260000000000004, 0.0014, 0.306, -0.2702]], "bitstrings": ["00001", "10000"], "total_optimization_steps": 30, "probabilities": [0.07416708878956615, ... | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(1) + -0.25 * Z(3) | 9 | 5 | 2 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["10000"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08055982018340721) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.08055982018340721) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(0.5225355503098899) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0805598201834072... | 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cz q[4], q[3];
cz q[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIZIZ",
"ZIZII",
"ZIIIZ",
"IIZZI",
"IZZII",
"ZZIII",
"IZIZI",
"IIZII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IZIII"
] | [
-0.25,
-0.25,
0.5,
-1.5,
-0.25,
-0.5,
-1,
0.75,
-0.25,
-0.25,
0,
-0.25
] | 0.869132 | [
0.08055982018340721,
-0.35470681563137524,
0.5225355503098899,
1.1234973761473965,
1.3097500534732263,
0.06301837355841679,
0.0172289539833638,
1.175101985651543,
-0.050600734974519,
-0.913335335482333,
1.0536620339595795,
1.7102271339985182,
2.127471121365935,
-0.06929635052414747,
1.03... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 500 |
-7830354320555069037 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 3], [1, 2, 3], [5, 6], [9, 3], [9, 1], [11, 6, 7], [0, 2, 3], [9, 11, 5], [1, 10], [0, 11, 5], [8, 2, 4], [0, 1], [4, 7], [1, 5, 7], [9, 6], [10, 2, 4], [8, 9, 7], [3, 4, 5], [8, 1, 11], [3, 7], [0, 3, 5], [10, 11], [3, 6], [1, 2, 7], [0, 9], [8, 6], ... | {"states": [1985, 1989], "expectation_value": -6.191214871455251, "params": [0.010400000000000001, -0.5885, 0.023100000000000002, 0.0068000000000000005, 1.5617, 0.0234, 1.1017000000000001, -0.0385, 1.5718, 0.0025, 1.5703, 0.0091, 1.4247, -0.0041, 1.1162, -0.0012000000000000001, 1.5692000000000002, -0.003100000000000000... | 0.5 * (Z(8) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(8)) + 0.3333333333333333 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.16666... | 8 | 12 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.499999999999998, "smallest_bitstrings": ["100000111010"], "largest_eigenvalue": 24.500000000000014} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.0551244078591517) q[0];
rz(1.1193409365468003) q[0];
rx(1.4029343837676163) q[1];
rz(0.043199302687487943) q[1];
cx q[1], q[0];
ry(-0.017799609325949366) q[0];
cx q[1], q[0];
ry(-0.03264966294043674) q[0];
rz(-1.6199340604221) q[0];
rx(1.3711352644032553) q[1];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIIZIII",
"IIIIIIIIZIZI",
"IIIZIIIIIIZI",
"IIIIIIIIZZII",
"IIIZIIIIIZII",
"IIIIIIIIIZZI",
"IIIIIIZIZIII",
"IIIIIIZIIIZI",
"IIIIIZIIZIII",
"IIIZIZIIIIII",
"IIIIIZIIIIZI",
"IIIIIZZIIIII",
"IIZIIIIIZIII",
"IIZZIIIIIIII",
"IIZIIIIIIIZI",
"IIZIIIZIIIII",
"IIZIIZIIIIII",
"ZIIIIIIIZ... | [
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.1... | 0.975292 | [
0.05512440785915171,
-0.4514553902480961,
1.4029343837676163,
0.043199302687487943,
1.421038438168312,
-0.0015733993208942925,
1.2485030943603703,
0.011696520051652474,
1.8074557688196957,
-0.046047298767730484,
1.5031611915788898,
-0.15591152066969907,
0.034007097779488446,
0.752623155073... | {
"n_parameters": 57,
"n_qubits": 12,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 10 |
ba516fd0ce7824e6228356c5f232cfab | 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": -26.553674385597844, "params": [0.07490000000000001, 0.2602, 0.0789, 0.2852, 0.0115, 0.2803, 0.0125, 0.2807, 0.0748, 0.2904, 0.48090000000000005, 0.1638, 0.48450000000000004, 0.18230000000000002, 0.0649, 0.2615, 0.0709, 0.2862, 0.003, 0.27640000000000003, 0.0077, 0.2836, 0.0651, ... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + ... | 3 | 7 | 4 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.16804737694979255) q[0];
rz(0.2082288294493435) q[0];
rx(0.15075704403065596) q[1];
rz(0.3081286351501191) q[1];
rx(-0.015577567956415184) q[2];
rz(0.2761028885907031) q[2];
rx(0.051898684280336976) q[3];
rz(0.6464979825533907) q[3];
rx(-0.06236402491160774) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
2.75,
3,
3,
3,
2.75,
2.75,
3,
3,
-10,
-10,
-10.5,
-10.5,
-10,
-9.5,
-9.5
] | 0.970246 | [
0.16804737694979255,
0.12269839746206923,
0.15075704403065598,
0.3741847015101376,
-0.015577567956415184,
0.3742638042105089,
0.051898684280336976,
0.5257644350645199,
-0.06236402491160774,
0.18361076482660355,
0.4922950906627197,
0.16963751239899966,
0.68348045398206,
0.11277220593759216,... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 6 |
5034f358b60bb2416ead39a148c379a9 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "so... | {"states": [16, 20], "expectation_value": -3.5561806306209007, "params": [0.8229000000000001, 0.0089, 0.0022, 0.0038, -0.0022, 0.0053, -0.0018000000000000002, 0.009300000000000001, -0.0018000000000000002, 0.0009000000000000001, 1.6983000000000001, 0.0083, -0.0024000000000000002, 0.008700000000000001, 1.6357000000000002... | 0.5 * (Z(6) @ Z(9)) + -0.5 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @ Z(6)) + -0.5 * (Z(4) @ Z(9)) + -1.0 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + -1.0 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + -0.5... | 18 | 10 | 1 | {"smallest_eigenvalues": [-4.999999999999999, -4.999999999999999, -4.999999999999999, -4.999999999999999, -4.999999999999999, -4.999999999999999], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.666666666666666, "smallest_bitstrings": ["1111000011", "1110100101", "1110100011", "1111101011", "1111101101"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.14975641425785782) q[0];
rz(-0.24066575353239905) q[0];
rx(-0.029767164686135283) q[1];
rz(0.3653588270419897) q[1];
rx(0.3317262262044513) q[2];
rz(0.5082732848714967) q[2];
rx(-0.15126513794220642) q[3];
rz(-0.4534054877104098) q[3];
rx(-0.15126513794220642) 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": 4} | {"circuits": [], "gradients": []} | [
"ZIIZIIIIII",
"ZIIIIIZIII",
"IIIZIIZIII",
"ZIIIIZIIII",
"IIIZIZIIII",
"IIIIIZZIII",
"ZIIIZIIIII",
"IIIZZIIIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIZZIIIIII",
"IIZIIIZIII",
"IIZIIZIIII",
"IZIZIIIIII",
"IZIIIIZIII",
"IZIIIZIIII",
"IZZIIIIIII",
"ZIIIIIIIIZ",
"IIIIZIIIIZ",
"IIIIIIIZZI"... | [
0.5,
-0.5,
-1,
-0.5,
-1,
1,
-1,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
0.5,
-0.16666666666666666,
-1,
0,
0,
0,
1,
0.5,
0.5,
0.33333333333333337,
-0.3333333333333333,
-0.3333333333333333
] | 0.971455 | [
-0.14975641425785782,
-0.11209317022898643,
-0.029767164686135283,
0.3653588270419897,
0.3317262262044513,
0.5082732848714967,
-0.15126513794220642,
-0.4534054877104098,
-0.5290115692496197,
3.337196961070229,
0.5105458374502797,
-0.0002835019568109137,
0.29026291769365165,
2.8482360447786... | {
"n_parameters": 29,
"n_qubits": 10,
"optimal_eigenvalue": -4.999999999999999,
"target_ratio": 0.97,
"target_value": -4.849999999999999
} | 30 |
5f46e3caaa931f446d5d37e76f941f6b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6... | {"states": [65, 1], "expectation_value": -12.999993510485895, "params": null, "bitstrings": ["0111110", "1111110"], "total_optimization_steps": 19, "probabilities": [6.489458717164528e-07, 0.9999993510435916], "optimization_time": 15.466413974761963} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(0)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(5)) + -1.0 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(2)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.5 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-0.05661121897376136) q[0];
h q[1];
ry(-1.604518163982522) q[1];
h q[2];
ry(-1.604518163982522) q[2];
h q[3];
ry(-1.604518163982522) q[3];
h q[4];
ry(-1.604518163982522) q[4];
h q[5];
ry(-1.604518163982522) q[5];
h q[6];
ry(1.5022165539344468) q[6];
cx ... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIZIIIZ",
"IZIIIZI",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"IIIIZZI",
"IIZIZII",
"IZIIZII",
"IIZZIII",
"ZIIZIII",
"IIIZZII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
-0.75,
-0.25,
-0.75,
-1.25,
2.5,
-0.75,
-0.75,
-1.25,
-1.25,
-1,
-0.25,
-1.25,
-0.75,
-0.25,
-0.5,
0.5,
1.5,
-1,
0.5
] | 0.997589 | [
1.5022165539344468,
-1.604518163982522,
-0.04577876357227252
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 1 |
8fa85228f1ab3b361f2e7e3b3150e795 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target":... | {"states": [0, 487], "expectation_value": -10.637355200059233, "params": [-0.5003000000000001, 0.8972, 0.3383, 0.8901, 0.5092, 0.9048, -0.4263, 0.9632000000000001, -0.49060000000000004, 0.9045000000000001, 0.3371, 0.9979, -0.5241, 0.9749000000000001, 0.4283, 1.0352000000000001, -0.2361, 0.6686000000000001, -0.066, 0.75... | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(8)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(3) + -1.0 * Z(5) + -1.0 * Z(4) + 0.5 * Z(8) + 0.5 * Z(6) + 0.5 * Z(7) | 6 | 9 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["000011000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.9952456547999777) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.32439118944162554) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(0.8631878032498951) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.32439118944162537) q[2];
rx(0.9475125628... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIZZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"ZIIIIIIII",
"IIZIIIIII",
"IZIIIIIII"
] | [
-1.5,
0.5,
-2,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5
] | 0.497648 | [
0.9952456547999777,
0.32439118944162554,
0.8631878032498951,
1.1537434448074644,
0.9475125628779709
] | {
"n_parameters": 5,
"n_qubits": 9,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 174 |
28550855a20366800e3fd917bf6489e0 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [1, 127], "expectation_value": -0.5450485892246199, "params": [[-0.0454, -0.0322, -0.034300000000000004, -0.0222], [0.0671, 0.051300000000000005, 0.0441, 0.031400000000000004]], "bitstrings": ["11111110", "10000000"], "total_optimization_steps": 10, "probabilities": [0.006628665733674056, 0.00670654963148654... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["11101110", "11111110", "11100110", "10000000"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.15216926898181918) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.15216926898181918) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.05788856062893183) q[5];
cx q[0], q[5];
cx q[2], q[5];
rz(0.15216926898181918) q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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",
"IIIIIZIZ",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IZIIIZII",
"IZZIIIII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZZIIIIII",
"ZIIIZIII",
"IIIZIIZI",
"IIZZIIII",
"IZIZIIII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZIII",
"IIIZIII... | [
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.75,
1.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
0,
-0.25,
0.25,
0,
-0.75,
0.25,
0,
0.5
] | 0.970246 | [
0.15216926898181918,
0.05788856062893183,
-0.39706471093018897,
-0.4983538334088068,
-0.6196842796802551,
-0.8562234492096112,
-0.7118375263136241,
1.5192229975930538,
0.31351551366482816,
0.21708871535439847,
-0.41629988721034344,
-1.1950335447601863,
-0.3996149728763092,
-0.3579384860504... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 333 |
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