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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
c5d57071b024d109c38c43678d62eaf1 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}]} | {"states": [60, 56], "expectation_value": -9.29999589787212, "params": null, "bitstrings": ["000011", "000111"], "total_optimization_steps": 20, "probabilities": [2.81305992022024e-07, 0.9999988346985311], "optimization_time": 9.832120180130005} | 0.9 * (Z(0) @ Z(1)) + 1.8 * (Z(2) @ Z(1)) + 0.9 * (Z(2) @ Z(0)) + -0.1 * (Z(3) @ Z(4)) + -0.2 * (Z(5) @ Z(4)) + -0.1 * (Z(5) @ Z(3)) + 4.5 * Z(1) + 2.25 * Z(0) + 4.5 * Z(2) + -0.5 * Z(4) + -0.25 * Z(3) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-9.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.4, "smallest_bitstrings": ["000111"], "largest_eigenvalue": 15.700000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.770690699219718) q[0];
h q[1];
ry(1.4871712470846223) q[1];
ry(-2.708001184483433) q[2];
rz(-pi) q[2];
cx q[1], q[2];
ry(-0.4298731353811252) q[2];
cx q[1], q[2];
cx q[1], q[0];
ry(-0.770690699219718) q[0];
cx q[1], q[0];
ry(0.1454074864826947) q[0];
ry(-0.... | null | {"source": 0, "sink": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(0.7408) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZZIII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.9,
1.8,
0.9,
-0.1,
-0.2,
-0.1,
4.5,
2.25,
4.5,
-0.5,
-0.25,
-0.5
] | 0.998049 | [
0.707331722307411,
1.4871712470846223,
0.8597462707622504,
-1.3799562985781975,
-1.4711756176015598,
1.541381398439436,
-1.3965271552689695,
-0.16148817852256322,
-0.2575056935640775,
0.2663957319896916,
-0.1803796305048725,
0.0016697777359003935,
-0.24197649101399368
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -9.3,
"target_ratio": 0.97,
"target_value": -9.021
} | 1 |
681317cce116b7c317d2d1166a0937e1 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [263, 391], "expectation_value": -1.2979118262958727, "params": [0.37770000000000004, 0.3748, 0.3981, 0.39080000000000004, 0.2939, 0.302, -0.0061, -0.0009000000000000001, 0.2833, 0.2866, 0.3184, 0.3114, 0.4912, 0.4889, 0.5008, 0.5052, 0.4934, 0.4903, 0.38470000000000004, 0.38930000000000003, 0.39330000000000... | 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(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(0) @ Z(7)) + 0.25 * (Z(5) @ Z(1))... | 14 | 9 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.25, "smallest_bitstrings": ["100100101", "010100110", "001110001", "011110000", "001101010", "110100100", "010110100", "010110001", "1001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.2653211005769242) q[0];
cx q[3], q[0];
h q[4];
cx q[0], q[4];
rz(-0.2653211005769242) q[4];
cx q[0], q[4];
h q[5];
cx q[0], q[5];
rz(-0.2653211005769242) q[5];
cx q[0], q[5];
rz(0.8526905993575316) q[0];
rx(0.88180115... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIZZZIIII",
"IIIIZIIIZ",
"IZIIIIIIZ",
"IZIIZIIII",
"IZIIZIIIZ",
"IIIZIIIZI",
"ZIIIIIIZI",
"ZIIZIIIII",
"ZIIZIIIZI",
"IIZIIIZII",
"ZIIIIIZII",
"ZIZIIIIII",
"ZIZIIIZII",
"IZIIIZIII",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
0,
0,
-1,
0,
0,
0,
-0.25,
0
] | 0.764122 | [
-0.2653211005769242,
0.8526905993575312,
1.319009349126271,
-2.5209900163082057,
0.8818011504971432,
1.18332886007987,
-2.851170190766367,
-2.4976708840306894,
-0.4815721680834389
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 330 |
304fd695de2f001ef7b80a4aece01fa6 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": ... | {"states": [0, 256], "expectation_value": -13.767752537336735, "params": [0.0026000000000000003, -0.0015, -0.006200000000000001, -0.0033, -0.0031000000000000003, -0.0015, 0.3083, 0.29960000000000003, -0.0031000000000000003, -0.0009000000000000001, -0.0022, -0.0014, -0.0045000000000000005, -0.0029000000000000002, -0.007... | -0.25 * (Z(0) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(10) @ Z(4)) + -0.25 * (Z(10) @ Z(0)) + -0.75 * (Z(10) @ Z(6)) + -0.25 * (Z(1) @ Z(8)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(10)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(11) @ Z(4)) + -0.25 *... | 14 | 12 | 3 | {"smallest_eigenvalues": [-15.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["111011111111"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.17255827456028194) q[0];
rz(1.2958052433029899) q[0];
rx(-0.06287395972702736) q[1];
rz(1.6367015155217395) q[1];
rx(-0.12408329289114658) q[2];
rz(1.8736239383251316) q[2];
rx(0.5288971328297197) q[3];
rz(1.5336964457189648) q[3];
rx(-0.018832812815103517) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZ",
"IIIIIZIIIIIZ",
"IIIZIIIIIIIZ",
"IIIZIZIIIIII",
"IZIIIIIZIIII",
"IZIIIIIIIIIZ",
"IZIIIZIIIIII",
"IIIZIIIIIIZI",
"IIIIIIZZIIII",
"IIIZIIZIIIII",
"IZIIIIZIIIII",
"IIIIIIZIIIZI",
"ZIIIIIIZIIII",
"ZIIIIZIIIIII",
"ZIIIIIIIIIZI",
"IIIIIIIZIZII",
"IIIIIZIIIZII",
"IIIZIIIII... | [
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
-0.25,
-1,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
1.75,
-0.5,
-0.25,
-0.5,
-0.25,
-1,
-0.75,
-0.25,
-0.5,
-0.25,
-0.25,
0,
-0.75,
-0.5,
0,
0.75,
0,
0,
1,
0.5,... | 0.978309 | [
-0.17255827456028194,
-0.27499108349190593,
-0.06287395972702736,
0.06590518872684402,
-0.12408329289114656,
0.3028276115302348,
0.5288971328297198,
-0.037099881075932054,
-0.018832812815103517,
0.4406436615715909,
-0.1095951872808459,
0.4729470612307988,
0.07108731400001728,
0.14274137397... | {
"n_parameters": 97,
"n_qubits": 12,
"optimal_eigenvalue": -15.25,
"target_ratio": 0.97,
"target_value": -14.7925
} | 10 |
19bf2792303f03225b401563534cb3e3 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [90, 27], "expectation_value": -1.5975690818749881, "params": [[0.0714, 0.0726, 0.0711, 0.062200000000000005], [-0.0651, -0.0635, -0.0625, -0.0603]], "bitstrings": ["0100101", "1100100"], "total_optimization_steps": 10, "probabilities": [0.016652835823343835, 0.016652835823343842], "optimization_time": 7.152... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + -2.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(4) + -1.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100100", "0100101", "1100001"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.5123921700884125) q[0];
h q[1];
ry(-1.5478607893892393) q[1];
h q[2];
ry(1.4932408525726673) q[2];
h q[3];
ry(1.4932408525726673) q[3];
h q[4];
cx q[4], q[0];
ry(0.5123921700884125) q[0];
cx q[4], q[0];
ry(-0.5529709167691285) q[0];
ry(0.69836918907653) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZZI",
"IIIZIZI",
"IZIIIZI",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1,
-1,
-1,
0,
0,
0
] | 0.996226 | [
-1.5478607893892393,
-1.2763218074855838,
1.4932408525726673,
-1.024784340176825,
0.453724466409899,
-0.34607674993476084,
0.48928944533326213,
-0.4137883336687353,
0.3703911734717731,
-0.21034828475149078,
-0.18108714827030487,
0.14412734431833038,
0.2361998788122091,
0.14614298833229686,... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
-5270866512951824941 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2], [8, 2], [0, 4, 5, 6], [0, 4, 7], [2, 3]]} | {"states": [433, 437], "expectation_value": -1.6973799317323865, "params": null, "bitstrings": ["001001110", "001001010"], "total_optimization_steps": 67, "probabilities": [0.2273756189341972, 0.4174553577862002], "optimization_time": 132.13760924339294} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.0833333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.9166666666666667, -1.9166666666666667, -1.9166666666666667, -1.9166666666666667, -1.9166666666666667, -1.9166666666666667, -1.9166666666666667], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.8333333333333337, "smallest_bitstrings": ["001010000", "100100001", "010110001", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.31734116608755053) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.31734116608755053) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3173411660875507) q[1];
rx(-0.8341158060040911) q[1];
rz(0.31734116608755053) q[2];
cx q[0], q[2];
h q[3];... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4074) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"ZIIIIIZII",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIIZ",
"IZIIZIIII",
"IIIIIZZII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"ZIIIIIIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.45833333333333337,
0.1666666666666667... | 0.615368 | [
0.31734116608755053,
1.018736356438018,
0.5628239026501083,
0.13931292949686358,
1.0862714192626126,
-0.18898686695677971,
-0.20734830893217437,
1.1965611072934221,
-0.8341158060040911
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -1.9166666666666667,
"target_ratio": 0.97,
"target_value": -1.8591666666666666
} | 228 |
2588d6bc234a2ebe9da283ea0a74ab37 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [210, 127], "expectation_value": -6.027559410627919, "params": null, "bitstrings": ["00101101", "10000000"], "total_optimization_steps": 83, "probabilities": [0.05036366897357575, 0.7862576008289568], "optimization_time": 126.64881610870361} | -0.5 * (Z(0) @ Z(6)) + -0.75 * (Z(1) @ Z(6)) + -0.25 * (Z(3) @ Z(6)) + -0.75 * (Z(3) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(0.14839836116753768) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(0.5527585164935408) q[1];
cx q[6], q[1];
cx q[6], q[3];
rz(0.32881606869814567) q[3];
cx q[6], q[3];
cx q[1], q[3];
rz(0.552758516493540... | 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];\ncry(1.5626) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... | [
"IZIIIIIZ",
"IZIIIIZI",
"IZIIZIII",
"IIIIZIZI",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIIIZZI",
"ZIIIIZII",
"IIIZIZII",
"IZZIIIII",
"IIZIIIZI",
"ZIZIIIII",
"IIZIIZII",
"IIZZIIII",
"IZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII"
] | [
-0.5,
-0.75,
-0.25,
-0.75,
0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-1,
0,
-0.25,
0.5,
-0.5,
-0.75,
0.75,
-0.5,
0.75
] | 0.86115 | [
0.14839836116753768,
0.5527585164935408,
0.32881606869814567,
-0.765912548820112,
0.2311734859611556,
0.05741605135624837,
-1.2951574166671995,
0.5782381291255552,
-0.3685606030596106,
-0.7438219039249117,
-0.9069556769159839,
0.951041222959043,
-0.5805358994066825,
1.6189642146834144,
-... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 500 |
1acf7607c7ee29e36b87a4b01083b206 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "source": 3, "target": 5}, {"capaci... | {"states": [32, 31], "expectation_value": -0.9946404404805882, "params": [[-0.0632, -0.047], [0.07730000000000001, 0.07]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.022284755782958212, 0.023328474284803016], "optimization_time": 1.931023120880127} | -1.5 * (Z(0) @ Z(4)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + -1.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.06827815816356449) q[0];
h q[1];
ry(0.28864931235364366) q[1];
h q[2];
h q[3];
cx q[3], q[1];
ry(-0.28864931235364366) q[1];
cx q[3], q[1];
ry(0.2691310622985146) q[3];
ry(0.7286787559448862) q[1];
h q[4];
ry(1.1406820502596924) q[4];
cx q[2], q[4];
ry(-1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IZIIZI",
"IIZIZI",
"IZIZII",
"ZZIIII",
"ZIIIIZ",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"IIIZII",
"ZIIIII"
] | [
-1.5,
-0.25,
-1.25,
-1,
-1.5,
1.75,
-0.25,
0.25,
-0.25,
1,
-1,
0,
0
] | 0.970202 | [
0.5772986247072873,
-0.13655631632712897,
1.4784928192670517,
2.2813641005193848,
2.1336059398620155,
0.08833575044167,
-0.9910259827145842,
0.04008808361503387,
0.5382621245970292,
1.4573575118897724,
1.1779871136653997,
-0.41195736481598083,
0.047345997501894194,
0.04288036191304298,
-... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 97 |
cf6781246fc66f87fa6a567e8619e23b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [17, 1], "expectation_value": -0.08530047552726332, "params": [[0.0489], [-0.0375]], "bitstrings": ["1101110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.00847726432043984, 0.008504859833429506], "optimization_time": 2.0129945278167725} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(5)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(4)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + 0.25 * Z(1) + -0.25 * Z(0) + -1.25 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.75, -6.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.75, "smallest_bitstrings": ["1111110", "1101110"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.33675991249539916) q[0];
h q[1];
ry(-0.8515395949228223) q[1];
h q[2];
h q[3];
ry(-1.5428256682959467) q[3];
rz(-pi) q[4];
ry(-0.10231168646078781) q[4];
ry(-0.054796923753035846) q[5];
rz(-pi) q[5];
h q[6];
cx q[6], q[0];
ry(0.33675991249539916) q[0];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IZIIIZI",
"IZIIIIZ",
"IIZIIZI",
"IZZIIII",
"IZIIZII",
"IIZIZII",
"ZIIIIIZ",
"ZIZIIII",
"ZIIIZII",
"IZIZIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIZIIII",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
-0.75,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
1.25,
-0.25,
-0.25,
-1,
-0.25,
0.25,
-0.25,
-1.25,
0.5,
0.25,
0.75,
-0.25
] | 0.978102 | [
-1.5428256682959467,
-0.6735198249907983,
1.5130573834326533,
-0.9935783652960206,
-1.7030791898456445,
-1.6641177806211036,
0.02746594902502659,
-0.2747638951084399,
0.6952452953339312,
-0.36325278036379793,
-0.35971473705457196,
0.17518969526177117,
-0.197380008249672,
-0.085975751722793... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 13 |
7457472811842010813 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 7], [9, 10], [2, 3, 4], [1, 2, 6], [0, 4], [9, 4, 5], [8, 3], [10, 2], [9, 3], [1, 3, 5], [0, 10, 7], [9, 6, 7], [0, 1, 6], [1, 4], [0, 2, 3], [8, 9, 7], [1, 10, 6], [9, 2, 4], [9, 4, 7], [10, 5]]} | {"states": [1854, 1838], "expectation_value": -5.471349010695267, "params": [1.5788, 1.5779, 1.5757, 1.5778, 1.5821, 1.5851000000000002, 0.3169, 0.316, 0.3297, 0.32480000000000003, 1.5836000000000001, 1.5812000000000002, 0.6976, 0.6895, 1.5802, 1.5764, 0.9477000000000001, 0.9353, 1.5823, 1.5828, 0.1749, 0.1745000000000... | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(10) @ Z(2)) + 0.16666666666666666 * (Z(10) @ Z(0)) + 0.16666666666666666 * (Z(10) @ Z(7)) + 0.5 * (Z(10) @ Z(9)) + 0.3333333333333333 * (Z(... | 13 | 11 | 1 | {"smallest_eigenvalues": [-6.499999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.166666666666665, "smallest_bitstrings": ["00011010001"], "largest_eigenvalue": 16.499999999999993} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.6164106837166403) q[0];
rz(0.3228122541881474) q[0];
ry(1.3875415908117592) q[1];
ry(1.717147070541227) q[2];
ry(-0.0075481662268433655) q[3];
ry(-0.014016708876447011) q[4];
ry(1.5083262814411789) q[5];
ry(0.11384534731850125) q[6];
ry(1.3738830705390603) q[7];
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": []} | [
"IIIIIIIIZIZ",
"IIIZIIIIZII",
"IIIZIIIIIIZ",
"IZIIIIIIZII",
"IZIZIIIIIII",
"ZIIIIIIIZII",
"ZIIIIIIIIIZ",
"ZIIZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIZZII",
"IIIIIIIZIIZ",
"IZIIIIIZIII",
"IIIIIIZIZII",
"IIIIIIZIIIZ",
"IIIZIIZIIII",
"IZIIIIZIIII",
"IIIIIIZZIII",
"IIIIIIIIZZI",
"IIIIIIIII... | [
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.5,
0.3333333333333333,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.... | 0.973761 | [
1.6164106837166403,
1.3875415908117592,
1.717147070541227,
-0.0075481662268433655,
-0.014016708876447011,
1.5083262814411789,
0.11384534731850125,
1.3738830705390603,
1.3329138595410805,
1.6703096512251225,
-0.20800506997585022,
0.6456245083762948,
-0.017430440472606144,
-0.070467787487746... | {
"n_parameters": 42,
"n_qubits": 11,
"optimal_eigenvalue": -6.499999999999999,
"target_ratio": 0.97,
"target_value": -6.304999999999999
} | 12 |
fd959b015d7c5b50b2cd05831ed95a60 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 2}, {"weight": 17, "source": 0, "target": 4}, {"weight": 19, "source": 1, "target": 2}, {"weight": 1... | {"states": [250, 122], "expectation_value": -29.655793338334014, "params": [[-0.0279, -0.006500000000000001, -0.0034000000000000002, 0.0088], [0.057100000000000005, 0.0555, 0.0528, 0.051300000000000005]], "bitstrings": ["00000101", "10000101"], "total_optimization_steps": 10, "probabilities": [0.014939454666209485, 0.0... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-73.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 155.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.2814273479283241) q[0];
cx q[5], q[0];
rz(0.988627421386453) q[0];
rx(-1.6100914394477277) q[0];
cx q[5], q[1];
rz(-0.2814273479283241) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.2814273479283241) q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
17,
11,
12,
20,
12.5,
4,
17.5,
5
] | 0.793132 | [
-0.2814273479283241,
-2.083999084261337,
0.9886274213864532,
-0.2943566891904666,
-0.17545221926890683,
-1.6100914394477277,
0.44025124807503524,
1.5189639182857877,
-0.6158615151039641,
-0.2722032415841509,
-0.7056736669533165
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 249 |
4cd28f9bc761b26f6d6f15aeccbaedea | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 4}, {"weight": 18, "source": 0, "target": 5}, {"weight": 20, "source": 0, "target": 3}, {... | {"states": [249, 121], "expectation_value": -58.59241062217143, "params": [0.49820000000000003, -0.3388, 1.0533000000000001, 0.0092, 1.0524, -0.0076, 1.0532000000000001, 0.0016, 1.0542, -0.1497, 0.0009000000000000001, -0.5851000000000001, 0.3831, 0.4223, 1.1800000000000002, -0.16110000000000002, 0.504, -0.3379000000000... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 18.0 * Z(1) + 12.5 * Z(0) + 17.5 *... | 18 | 8 | 3 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10000110"], "largest_eigenvalue": 145.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.00016732716707271525) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.00016732716707271525) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.00016732716707271525) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.00016732716707271525) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIZIIIZI",
"IZIIIZII",
"IZIIZIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
18,
12.5,
17.5,
17,
8.5,
0,
8.5,
11
] | 0.920635 | [
0.00016732716707271525,
-0.5924455788903747,
1.1202157596152196,
-2.1299919140966863,
-0.921283751470345,
-0.9259638537657344,
0.656788748097326,
0.05566707846777746,
-0.2350099582362983,
-0.00025338828965832576,
-0.7056870444167618,
0.6002165622279372,
0.40321396654204583,
-0.860670749125... | {
"n_parameters": 33,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 500 |
f143dac0e88a27841fea76d818fec3d0 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "targ... | {"states": [2015, 16351], "expectation_value": -17.82320577383265, "params": [0.7498, 0.0009000000000000001, 0.0035, -0.3714, 0.9016000000000001, 0.0041, 0.0024000000000000002, -0.5259, 0.0029000000000000002, -0.5992000000000001, -1.5938, 0.0017000000000000001, 0.0252, -0.0026000000000000003, 3.1298000000000004, -0.000... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + -1.0 * (Z(9) @ Z(10)) + -1.5 * (Z(11) @ Z(12)) + -1.5 * (Z(13) @ Z(12)) + -1.5 * (Z(13) @ Z(11)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3... | 4 | 14 | 1 | {"smallest_eigenvalues": [-20.499999999999893], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.499999999999876, "smallest_bitstrings": ["00000000100000"], "largest_eigenvalue": 10.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(1.1133124074262024) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(1.1133124074262024) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.08309374786815941) q[1];
cx q[0], q[1];
rz(0.08309374786815926) q[0];
rx(1.0130841780785524) q[0];
rz(0.083... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZIZ",
"IIIIIIIIIIIZZI",
"IIIIIIIIIIIIZZ",
"IIIIIIIIIZZIII",
"IIIIIIIIZZIIII",
"IIIIIIIIZIZIII",
"IIIIIIZZIIIIII",
"IIIZZIIIIIIIII",
"IZZIIIIIIIIIII",
"ZZIIIIIIIIIIII",
"ZIZIIIIIIIIIII",
"IIIIIIIIIIIZII",
"IIIIIIIIIIIIIZ",
"IIIIIIIIIIIIZI",
"IIIIIIIIIZIIII",
"IIIIIIIIIIZIII"... | [
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
-1,
-1,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.591431 | [
1.1133124074262024,
0.08309374786815941,
1.6493177555847793,
1.5707961437880515,
1.0130841780785524
] | {
"n_parameters": 5,
"n_qubits": 14,
"optimal_eigenvalue": -20.499999999999957,
"target_ratio": 0.97,
"target_value": -19.88499999999996
} | 158 |
fc2a0aab6aa71710f421b73642e2514f | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [222, 399], "expectation_value": -0.056842893216928425, "params": [[0.0439, 0.032100000000000004], [-0.041100000000000005, -0.038]], "bitstrings": ["100100001", "001110000"], "total_optimization_steps": 10, "probabilities": [0.002230766830409209, 0.0022307668304092127], "optimization_time": 10.24813818931579... | 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(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(0) @ Z(5) @ Z(4)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(3) @ Z(7)) + ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["001110000", "100100001"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.11242251953068062) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.11242251953068062) q[3];
cx q[0], q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.11242251953068062) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[4];
rz(0.1124225... | OPENQASM 3.0;
include "stdgates.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[9] c;
qubit[9] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIZZIIIZ",
"IIIIIZIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZIIZIII",
"IZIIIZIII",
"IZZIIIIII",
"IIZIIZIZI",
"IZIIIZIZI",
"IZZIIIIZI",
"IZZIIZIII",
"IZZIIZIZI",
"IIZIZIIII",
"ZIIIZIIII",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0,
0.125,... | 0.886139 | [
0.11242251953068062,
0.7188618997790892,
-1.218608868119396,
0.06219707367807151,
-1.3014966604495342,
0.814754047515083,
-0.7136669890576299,
0.4534445368680647,
-0.6952065532198899,
0.5275019770757594,
0.01888035805324072,
-1.6254864120474146,
-0.7479707343602362,
0.5318744980053659,
0... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 500 |
94dd9c8568f88dcb3e4d7e2fe1b8d82a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6... | {"states": [5, 63], "expectation_value": -6.434790535420706, "params": null, "bitstrings": ["1111010", "1000000"], "total_optimization_steps": 63, "probabilities": [0.07175495237596136, 0.7330665385176253], "optimization_time": 74.93409442901611} | -0.5 * (Z(0) @ Z(3)) + 0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(6) + -0.5 * Z(1) + -0.25 * Z(2) + -1.75 * Z(5) + 2.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["1000000", "1111110"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.01696964563984058) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.6257158851690002) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.8826680353858664) q[2];
cx q[3], q[2];
h q[4];
h q[5];
cx q[3], q[5];
rz(0.44149109525872793) q[5];... | 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[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIZIIZ",
"ZIIIIIZ",
"IIIZIZI",
"ZIIIIZI",
"IIIZZII",
"IIIIZZI",
"IZIZIII",
"IIZIZII",
"IZZIIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"IIZIIII"
] | [
-0.5,
0.75,
-1.25,
-0.5,
-1,
-0.25,
-0.75,
-1,
-1.5,
0.5,
-0.25,
0.25,
-0.5,
-0.25,
-1.75,
2
] | 0.872663 | [
0.01696964563984058,
0.12295109747947061,
0.6257158851690002,
0.8826680353858664,
0.5860523152796467,
0.44149109525872793,
0.33128169600839774,
0.2852731024582777,
-1.0288623657695086,
0.5339911888699572,
-0.13975071708561476,
1.1869116100653803,
0.04328033325172488,
-0.8178563442900494,
... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 500 |
ec86dd03f1bc9f7a5980c14449900d15 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, ... | {"states": [3, 11], "expectation_value": -6.009503054026333, "params": null, "bitstrings": ["11111100", "11110100"], "total_optimization_steps": 28, "probabilities": [0.42570392794798445, 0.426398699446226], "optimization_time": 26.508769512176514} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(2)) + -0.75 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(4) @ ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.75, "smallest_bitstrings": ["11110110", "11111110", "11111100", "11110100"], "largest_eigenvalue": 8.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.16999686101045597) q[0];
ry(-0.7461488452616151) q[1];
rz(-pi) q[1];
ry(-0.08098995602078439) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.8918758604400108) q[3];
h q[4];
h q[5];
ry(-0.6909274773558883) q[5];
h q[6];
ry(1.6029270172358627) q[6];
h q[7];
cx q[7], q[0]... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.5681) q[7], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIIZ",
"IIIIIZZI",
"IIIIZZII",
"IIZIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZZIIIIII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IIIIIZII",
"ZIIIIIII",
"IZIIIIII",
"IIIZIIII"
] | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
1.75,
-0.25,
-0.25,
-0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
0.25,
0.75,
0.75,
0.25
] | 0.970267 | [
-0.33999372202091194,
1.3129654467744951,
1.6029270172358627,
-0.6590546223712845,
0.18968510787131154,
-0.5503415377524958,
-1.7837517208800215,
-1.3818549547117767,
-1.0868611186790245,
-0.44875350089838817,
-0.10942090189840499,
0.17912767502386534,
-0.8058905041901756,
-0.0868358831952... | {
"n_parameters": 19,
"n_qubits": 8,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 24 |
d7a525ce4c2e3aa682dbfbc5ee640032 | kclique | vqe | {"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": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [5, 7], "expectation_value": -3.422632654764279, "params": [[[1.0856000000000001, 0.0059], [1.0858, 0.0022], [1.1709, 0.0045000000000000005], [1.169, 0.007], [1.5937000000000001, 0.0081], [1.5893000000000002, 0.0088], [1.5981, 0.0088]]], "bitstrings": ["1111010", "1111000"], "total_optimization_steps": 160, ... | 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 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027051847789835787) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.027051847789835787) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.027051847789835787) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.027051847789835787) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | {"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,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
-3.5,
-3.5,
-3.25,
-3.25,
-3,
-2.75,
-2.75
] | 0.976706 | [
0.027051847789835787,
-0.03206344691167204,
1.6851099918626093,
1.7238436867176876,
-1.4190839315479138,
-1.6226342532152522,
1.4767707881526164
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 75 |
c8cc4a98ae2322198d431f79e7c08f2a | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [50, 112], "expectation_value": -4.996398041567976, "params": null, "bitstrings": ["1001101", "0001111"], "total_optimization_steps": 31, "probabilities": [0.0663519663422765, 0.9303270202929237], "optimization_time": 29.58100700378418} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(5) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(1) + -1.0 * Z(3) + -1.5 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001111", "1001101"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.24612231245573826) q[0];
cx q[5], q[0];
h q[6];
cx q[5], q[6];
rz(0.24612231245573826) q[6];
cx q[5], q[6];
cx q[0], q[6];
cx q[5], q[4];
rz(0.24612231245573826) q[4];
cx q[5], q[4];
rz(-0.1913778146072... | 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[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", ... | [
"IZIIIIZ",
"ZZIIIII",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZIZI",
"IZZIIII",
"IIZIIZI",
"IIZZIII",
"ZIIIZII",
"IIIZZII",
"IIZIZII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"IIIIZII"
] | [
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,
-1.5,
-1,
-1,
-1.5,
-1
] | 0.761448 | [
0.24612231245573826,
-0.19137781460726216,
-0.09094711496822111,
-1.8489186511947862,
-1.174023312528797,
2.5565392467270445,
-5.333069231018104,
-2.672371264963156,
-5.166443738452216,
-0.5496848238765973
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 425 |
6512948709232933166 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[0, 10, 7], [9, 5, 7], [1, 12, 5, 7], [8, 2, 13, 6], [0, 2, 11], [8, 7], [0, 3, 6], [9, 11, 4, 5], [3, 4], [2, 12], [1, 10, 12], [5, 13], [2, 6, 7], [9, 2, 10, 13], [11, 12], [3, 13], [0, 10, 6], [9, 2, 11], [9, 3, 6, 7]]} | {"states": [15059, 13011], "expectation_value": -5.6764901151803935, "params": [[1.1586, 0.029500000000000002, 0.40690000000000004, 0.0019, 2.7472000000000003, 0.0103, 0.24050000000000002, 0.37270000000000003, -0.003, 2.7507, 0.023700000000000002, -0.0008, 2.766, -0.083], [1.9757, 2.7963, 1.0886, -0.002, 0.394400000000... | 0.3333333333333333 * (Z(0) @ Z(10)) + 0.16666666666666666 * (Z(7) @ Z(10)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(9) @ Z(10)) + 0.25 * (Z(9) @ Z(7)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(5) @ Z(9)) + 0.16666666666666666 * (Z(1) @ Z(10)) + 0.08333333333333333 * (Z(1) @ Z(7)) + 0.08333333333333333 ... | 10 | 14 | 1 | {"smallest_eigenvalues": [-6.333333333333292], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.1666666666666226, "smallest_bitstrings": ["00110100101100"], "largest_eigenvalue": 15.99999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
ry(1.3733184686159532) q[0];
ry(-0.00016421574383029597) q[1];
ry(-0.25507929088519904) q[2];
ry(0.0003292810032127681) q[3];
ry(2.3801333284273904) q[4];
ry(-0.00012686643380394188) q[5];
ry(0.0015582768929196336) q[6];
ry(0.12753031785161745) q[7];
ry(0.0103310722994... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIZIIIIIIIIIZ",
"IIIZIIZIIIIIII",
"IIIIIIZIIIIIIZ",
"IIIZZIIIIIIIII",
"IIIIZIZIIIIIII",
"IIIIIIZIZIIIII",
"IIIIZIIIZIIIII",
"IIIZIIIIIIIIZI",
"IIIIIIZIIIIIZI",
"IIIIIIIIZIIIZI",
"IZIZIIIIIIIIII",
"IZIIIIZIIIIIII",
"IZIIIIIIZIIIII",
"IZIIIIIIIIIIZI",
"IIIIIZZIIIIIII",
"IIIZIIIIIIIZII"... | [
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.25,
0.25,
0.25,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.25,
0.5,
0.08333333333333333,
0.16666666666666666,
0.... | 0.947368 | [
1.3733184686159532,
-0.00016421574383029597,
-0.25507929088519904,
0.0003292810032127681,
2.3801333284273904,
-0.00012686643380394188,
0.0015582768929196336,
0.12753031785161745,
0.010331072299459749,
3.0922062497408453,
-0.03722175672763495,
-0.017476318351680488,
2.9927468197657445,
0.00... | {
"n_parameters": 28,
"n_qubits": 14,
"optimal_eigenvalue": -6.333333333333292,
"target_ratio": 0.97,
"target_value": -6.143333333333294
} | 300 |
2be9598749a54d45ae6c968f3644c50e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "... | {"states": [1, 7], "expectation_value": -0.4168785978995329, "params": [[0.0641, 0.0442, 0.054200000000000005, 0.0741], [-0.06770000000000001, -0.039, -0.0368, -0.0533]], "bitstrings": ["1110", "1000"], "total_optimization_steps": 10, "probabilities": [0.08446639868227016, 0.08447602711627902], "optimization_time": 3.6... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + 0.25 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.0, "smallest_bitstrings": ["1110", "1100", "1000"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.4735206763607496) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.01182672083452973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.01182672083452973) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.4735206763607496) 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[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
-0.25,
-0.5,
-0.5,
-0.25,
1,
-0.5,
-0.5,
-0.25,
0.5,
0.25
] | 0.731547 | [
0.4735206763607496,
-0.01182672083452973,
-0.00498214199769815,
-1.582999198203383,
-1.7345000367827936,
1.438980752288773
] | {
"n_parameters": 6,
"n_qubits": 4,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 193 |
7c7664cb9cb13a35da50c3201e32fb16 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [112, 113], "expectation_value": -1.5923820931501558, "params": [0.2106, -0.1386, 0.5038, -0.0233, 0.508, 0.0099, 0.5029, 0.1401, 0.07680000000000001, 0.273, 0.2157, 0.17650000000000002, 0.0789, 0.3098, 0.4344, -0.0026000000000000003, 0.2119, -0.136, 0.49660000000000004, -0.0563, 0.49820000000000003, 0.0172,... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -0.25 * Z(... | 18 | 8 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.0, "smallest_bitstrings": ["10011010", "00110101", "10010011", "00101110", "10001110", "01001110", "10110001", "00101101", "11001010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.03443378752785541) q[0];
rz(-0.13110126421031687) q[0];
rx(0.1780229093399017) q[1];
rz(-0.1841110151175016) q[1];
rx(0.3258424952178776) q[2];
rz(0.019690802414419117) q[2];
rx(-0.1573527638739795) q[3];
rz(-0.15564052018377517) q[3];
rx(0.41048682556123217) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZZIII",
"IIZIIIIZ",
"IIIIZIZI",
"IIZIIIZI",
"IIZIZIII",
"IIZIZIZI",
"IZIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
-0.25,
0,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5
] | 0.983075 | [
-0.03443378752785541,
-0.07317377189750467,
0.1780229093399017,
-0.1000308368391451,
0.3258424952178776,
-0.025638991230291522,
-0.1573527638739795,
-0.2109726450679203,
0.4104868255612321,
-0.02896349377971935,
-0.10942550014263858,
0.023168782610153135,
0.146783244140875,
0.2167996115517... | {
"n_parameters": 135,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 11 |
16a3f0e7912c5ed5cfa032c0d85156ec | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 2, "source": 2, ... | {"states": [127, 63], "expectation_value": -7.573690073039133, "params": null, "bitstrings": ["10000000", "11000000"], "total_optimization_steps": 69, "probabilities": [0.4164851832997924, 0.4167981182531923], "optimization_time": 87.88588547706604} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(1) @ Z(5)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + 1.5 * Z(5) + -0.5 * Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-8.25, -8.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000", "11000000"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.17232329941521132) q[0];
h q[1];
h q[2];
ry(0.7464664516639088) q[2];
h q[3];
ry(0.7464664516639088) q[3];
h q[4];
ry(1.2364204621977426) q[4];
h q[5];
ry(1.4929329033278176) q[5];
cx q[5], q[2];
ry(-0.7464664516639088) q[2];
cx q[5], q[2];
h q[6];
cx q[6],... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIZIZ",
"IIIIZZII",
"IIZIIZII",
"IIZIZIII",
"IZIIIZII",
"IZIIZIII",
"ZIIIIIIZ",
"ZIIIZIII",
"IIZZIIII",
"IZIZIIII",
"IIZIIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIZI"
] | [
-0.25,
-0.75,
-1.5,
-0.5,
-0.5,
-1.75,
0.5,
-0.75,
-0.5,
-0.25,
-1,
0.5,
-0.25,
0.25,
1.5,
-0.5,
-0.25,
-0.25,
-1
] | 0.94919 | [
1.4929329033278176,
1.5802204635152286,
0.8287660673136036,
-0.006786361011339807,
2.472840924395485,
0.34464659883042265,
0.3769747640636233,
-0.4893920067270682,
-0.9833230744965525,
-0.7528240000374548,
-0.06405092881923163,
-2.2431260988694803,
0.6810684091091916,
-0.41384633522050285,... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 500 |
ceba285572e61720bd2865b4542d41ef | 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": 0, "target": 3}, {"source": 1, "... | {"states": [248, 4088], "expectation_value": -2.273281139882876, "params": [[0.0727], [-0.0646]], "bitstrings": ["111100000111", "000000000111"], "total_optimization_steps": 10, "probabilities": [0.0005347855263335338, 0.000563544192860345], "optimization_time": 6.134729623794556} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 1.0 * (Z(8) @ Z(5)) + -2.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(7)) + -2.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + 0.... | 1 | 12 | 1 | {"smallest_eigenvalues": [-31.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.5, "smallest_bitstrings": ["000000000111"], "largest_eigenvalue": 25.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.07377870626237668) q[0];
ry(0.10467154295354653) q[1];
ry(0.11169375851369125) q[2];
ry(0.05732697470414899) q[3];
ry(0.006558896643000342) q[4];
ry(0.052077945717567166) q[5];
ry(-0.09424981968180796) q[6];
ry(0.0024977978432773537) q[7];
ry(0.26118611367439803)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"node": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIZZIIII",
"IIIIZIZIIIII",
"IIIIZIIZIIII",
"IIIZIIZIIIII",
"IIIZIIIZIIII",
"IIIZZIIIIIII",
"IIIIIZZIIIII",
"IIIIIZIZIIII",
"IIIIZZIIIIII",
"IIIZIZIIIIII",
"ZIZIIIIIIIII",
"ZZIIIIIII... | [
-2,
-2,
-2,
-2,
-2,
1,
-2.5,
0.5,
-2,
1,
-2.5,
-2,
-2,
1,
0.5,
-2.5,
-2,
-2,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5
] | 0.97102 | [
-0.07377870626237668,
0.10467154295354653,
0.11169375851369125,
0.05732697470414899,
0.006558896643000342,
0.052077945717567166,
-0.09424981968180796,
0.0024977978432773537,
0.26118611367439803,
2.874080554118763,
0.05703981953806369,
-0.03952165194741101,
-3.2108247040228015,
-0.020803480... | {
"n_parameters": 18,
"n_qubits": 12,
"optimal_eigenvalue": -31.5,
"target_ratio": 0.97,
"target_value": -30.555
} | 21 |
b06e27961007262f3a2ecbf8aba20c59 | 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": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [1003, 1002], "expectation_value": -1.8521641330298038, "params": [[[0.6485000000000001, 0.1353], [0.8943000000000001, -0.0022], [0.9069, -0.0013000000000000002], [0.9015000000000001, -0.0013000000000000002], [0.9023, -0.0015], [0.9031, -0.0015], [-0.0026000000000000003, 0.5888], [0.9054000000000001, 0.00130... | 0.5 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(4) @ Z(3)) + 0.0625 * (Z(5) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0)... | 1 | 11 | 2 | {"smallest_eigenvalues": [-4.9375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9375, "smallest_bitstrings": ["10000010101"], "largest_eigenvalue": 7.0625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(2.8165661135111266) q[0];
rz(1.6822873879029663) q[0];
rx(-0.1761158400586234) q[1];
rz(1.1072219666517356) q[1];
rx(2.9821919954623435) q[2];
rz(1.5640894193406867) q[2];
rx(-0.22897729736989372) q[3];
rz(1.6223776513277102) q[3];
rx(2.0145625558052633) 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": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIZIIZII",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIIIIZZIZ",
"IIIIIIZIZIZ",
"IIIIIZIIZIZ",
"IIIIIIZZIIZ",
"IIIIIZIZIIZ",
"IIIIIZZIIIZ",
"IIIIIIZZZII",
"IIIIIZIZZ... | [
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.125,
0.125,
0.125,
0.125,
0.... | 0.975753 | [
2.8165661135111266,
0.1114910611080694,
-0.17611584005862338,
-0.4635743601431611,
2.9821919954623435,
-0.006706907454209848,
-0.22897729736989372,
0.05158132453281461,
2.0145625558052633,
0.08563247619159585,
1.439433386232278,
0.09948764002142826,
3.003695837809674,
0.390496713810319,
... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 14 |
edc3bac605c0e8fb4f027513dd92e8fb | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [206, 143], "expectation_value": -1.9921650704592762, "params": null, "bitstrings": ["00110001", "01110000"], "total_optimization_steps": 62, "probabilities": [0.09659391380377318, 0.7394272563540675], "optimization_time": 133.67087721824646} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -1.25, "smallest_bitstrings": ["01010100", "11000010", "00110001", "00111000", "10010001", "10000011", "01000110", "01001010", "01110000", "... | 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[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(-1.1871) q[6], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIIZZIIZ",
"IIZIZIIZ",
"IIZZIIIZ",
"IIZZZIII",
"IIZZZIIZ",
"IZIIZIII",
"IIIZIIZI",
"ZIIIIIZI",
"ZIIZIIII",
"ZIIZIIZI",
"IIZIIZII",
"IZIIIZII",
"ZIIIIZI... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0,
0.125,
-0.125,
0.12... | 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 |
ee68f24dce039a4cba3f3c3df952f527 | 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": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 4, "target": 3}, {"capaci... | {"states": [8, 27], "expectation_value": -2.291495606100743, "params": null, "bitstrings": ["110111", "100100"], "total_optimization_steps": 26, "probabilities": [0.07744130134523922, 0.6711829431980799], "optimization_time": 18.415565252304077} | 0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(4) @ Z(5)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * Z(5) + -0.25 * Z(0) + 0.25 * Z(4) + 0.5 * Z(1) + 0.25 * Z(2) + -0.25 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["100000", "100100"], "largest_eigenvalue": 3.25} | 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(1.7187054369255659) q[0];
cx q[5], q[0];
rz(0.09446777047799948) q[0];
rx(-1.466700987803215) q[0];
cx q[5], q[4];
rz(0.01333934725850041) q[4];
cx q[5], q[4];
cx q[4], q[1];
rz(0.01333934725850041) q[1];... | 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(1.5158) q[4], 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 \... | [
"ZIIIIZ",
"ZZIIII",
"IZIIZI",
"IIIZZI",
"IZZIII",
"ZIIIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
0.25,
-0.75,
-0.75,
-0.25,
-0.25,
-0.5,
-0.25,
0.25,
0.5,
0.25,
-0.25
] | 0.744299 | [
1.7187054369255659,
0.01333934725850041,
0.09446777047799972,
-1.1516700085688871,
1.5731593475807684,
-1.4667009878032147
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 189 |
646c4ffdec7c3b688313fcfec6df6ea9 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [17, 14], "expectation_value": -0.42496627719522545, "params": [[0.081, 0.0784], [-0.0877, -0.0838]], "bitstrings": ["01110", "10001"], "total_optimization_steps": 10, "probabilities": [0.0454460532709225, 0.04725385386816662], "optimization_time": 1.9276373386383057} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["10001"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(1.9669260845713552) q[0];
ry(0.1024795632901214) q[0];
rz(-1.7618896224722536) q[0];
rz(1.3195676915300085) q[1];
ry(2.675781808525202) q[1];
rz(-2.101131985716676) q[1];
rz(0.659445598074063) q[2];
ry(2.9276292745841843) q[2];
rz(-2.5769113250260087) q[2];
rz(-1.592... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZIZ",
"IZIIZ",
"ZIIZI",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-0.5,
-1
] | 0.973844 | [
-0.03861409541289346,
0.30559213356773784,
0.7326018024600061,
-0.06435106480608022,
0.9547122432617727,
-0.15670419204282596,
1.266054401368888,
0.002295537787968205,
-0.1307986670653961,
0.03183210554700622,
0.016147551089138828,
-0.018645541425944934,
1.0077607251862293,
1.0367697074034... | {
"n_parameters": 27,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 9 |
f2268dbc2cd9e9d8be6517cd34bc9399 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 3}]} | {"states": [4, 5], "expectation_value": -7.4999999999720615, "params": null, "bitstrings": ["1011", "1010"], "total_optimization_steps": 13, "probabilities": [4.65539676913598e-12, 0.9999999999953437], "optimization_time": 4.917701005935669} | -1.25 * (Z(0) @ Z(2)) + 1.5 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.5 * (Z(1) @ Z(3)) + -1.5 * Z(2) + -0.25 * Z(0) + 0.0 * Z(3) + 1.75 * Z(1) | 1 | 4 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["1010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08466080018590566) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.4712491131715458) q[1];
cx q[2], q[1];
rz(0.6656506840572414) q[2];
rx(1.5126955950453878) q[2];
h q[3];
cx q[0], q[3];
rz(-0.04495793256312783) q[3];
cx q[0], q[3];
... | null | {"source": 0, "sink": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\n... | [
"IZIZ",
"ZIIZ",
"IZZI",
"ZIZI",
"IZII",
"IIIZ",
"ZIII",
"IIZI"
] | [
-1.25,
1.5,
-0.25,
-1.5,
-1.5,
-0.25,
0,
1.75
] | 0.564109 | [
0.08466080018590566,
-0.04495793256312783,
0.4712491131715458,
0.6656506840572409,
-1.5403474266364232,
-1.5490134012367487,
1.5126955950453878
] | {
"n_parameters": 7,
"n_qubits": 4,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 191 |
9915ff93784d747e82bcd9a73a2399e5 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [0, 9], "expectation_value": -2.624903340271929, "params": null, "bitstrings": ["11111", "10110"], "total_optimization_steps": 14, "probabilities": [1.7181867225419193e-05, 0.9999371031796124], "optimization_time": 12.693478107452393} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(4)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + -0.125 * (Z(1) @ Z(4) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(3) @ Z(4) @ Z(2)) + 0.12... | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.625, "smallest_bitstrings": ["10110"], "largest_eigenvalue": 4.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-0.0251969072812812) q[0];
h q[1];
ry(-0.5380823333224228) q[1];
h q[2];
ry(-0.5380823333224228) q[2];
h q[3];
cx q[3], q[1];
ry(0.5380823333224228) q[1];
cx q[3], q[1];
ry(-0.8810269947366784) q[1];
ry(1.3888852652990713) q[3];
h q[4];
cx q[4], q[2];
r... | 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(-1.5158) 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",
"ZIIIZ",
"IIZZI",
"IZIZI",
"ZIIZI",
"IZZII",
"ZIZII",
"ZZIII",
"IZZZI",
"ZIZZI",
"ZZIZI",
"ZZZII",
"ZZZZI",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.5,
-0.125,
-0.625,
-0.625,
-0.125
] | 0.972771 | [
-1.7357936832727832,
-1.0761646666448457,
0.8318258295933451,
1.3888852652990713,
-0.5583266175622739,
-0.9112528734271876,
0.7301946700289301,
-0.2369592768426538,
0.13507114255148295,
0.06045175738101835,
0.5736330844182135,
0.4348793797484596,
-0.5033799150929571,
-0.6485481651535171,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 14 |
76c3b3f0a9246ef0a310fcffcbb31bf8 | 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": [303, 302], "expectation_value": -80.86431755740658, "params": [-0.0027, 0.805, 1.2024000000000001, 0.20090000000000002, 0.5417000000000001, 0.4186, 0.0023, 0.8946000000000001, 1.1992, 0.2121, 0.48210000000000003, 0.4169, 1.1945000000000001, -0.10020000000000001, 1.1978, -0.1835, 1.2022000000000002, -0.0614,... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(4) @ Z(1)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(9) @ Z(6)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(7) @ Z(9)) + 7.0 * (Z(8) @ Z(5)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(8) @ Z(9)) + 7.0 * (Z(8) @ Z(7)) + 14.5 * Z(1) + -5.5 * Z(0) + 1.5 * Z(2) + 17.0 * Z(4) + 1... | 18 | 10 | 2 | {"smallest_eigenvalues": [-119.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -109.5, "smallest_bitstrings": ["1011010001"], "largest_eigenvalue": 184.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.04572518596918657) q[0];
rz(0.8302094851046533) q[0];
rx(1.5116596349870546) q[1];
rz(0.2545225908968052) q[1];
rx(0.23997229201627343) q[2];
rz(0.6915076622844547) q[2];
rx(-0.0007728053400166636) q[3];
rz(0.7344191292095829) q[3];
rx(1.698101930736987) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIZIIZI",
"IIIIIZIZII",
"IIIIZZIIII",
"ZIIZIIIIII",
"IIZZIIIIII",
"ZIZIIIIIII",
"IZIIZIIIII",
"IZIZIIIIII",
"ZZIIIIIIII",
"IZZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IIZIIIIIII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
14.5,
-5.5,
1.5,
17,
1,
15.5,
7.5,
12.5,
23.5,
-13
] | 0.970134 | [
0.045725185969186566,
0.8442190869409518,
1.5116596349870546,
0.2545225908968052,
0.23997229201627343,
0.6915076622844547,
-0.0007728053400166636,
0.7344191292095829,
1.698101930736987,
-0.03423213466263991,
0.16008882085062434,
0.12723342966760998,
1.6244830385095987,
0.055721444214631904... | {
"n_parameters": 56,
"n_qubits": 10,
"optimal_eigenvalue": -119.5,
"target_ratio": 0.97,
"target_value": -115.91499999999999
} | 13 |
8c44c442a25e00dfae4e1647b2faf79f | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}]} | {"states": [26, 14], "expectation_value": -1.9855888858598751, "params": null, "bitstrings": ["100101", "110001"], "total_optimization_steps": 27, "probabilities": [0.10406139442534974, 0.8717759131270884], "optimization_time": 22.993109941482544} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3... | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.0, "smallest_bitstrings": ["010011", "100101", "001101", "010101", "001110", "011010", "110001"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022216824968526526) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022216824968526526) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022216824968526526) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.6284369302106981) q[3];
cx q[1], q[... | 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(-1.4449) 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];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"IZZIIZ",
"IIZIZI",
"ZZIIII",
"ZIIZII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5
] | 0.720045 | [
0.022216824968526526,
0.6284369302106981,
-1.317266113042237,
0.027624710446691313,
-0.865652482486156
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 144 |
294512af72c0fecd4cefe8fd6a356b5c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 1, "source": 0, "t... | {"states": [130, 162], "expectation_value": -18.946592932978845, "params": [1.6062, 0.0086, 0.9711000000000001, 0.0024000000000000002, 1.6002, 0.0098, 0.0024000000000000002, 0.0039000000000000003, 0.0027, 0.0079, 0.7902, 0.0032, 1.6119, 0.0089, 1.3894, 0.0044, 0.0021000000000000003, 0.0066, 0.007500000000000001, 0.006,... | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.0 * Z(0) + -2.5 * Z(2) + -4.0 * Z(1) + -6.0 * Z(3) + -11.0 * Z(4) + -5.0 * Z(5) + -0.5 * Z(6) + -3... | 3 | 8 | 1 | {"smallest_eigenvalues": [-48.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -46.5, "smallest_bitstrings": ["01011101"], "largest_eigenvalue": 73.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(0.07402068680094753) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.07402068680094753) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.07402068680094753) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[3], q[4];
rz(0.07402068680094753) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIZZIII",
"IIZIIIIZ",
"IZIIIIZI",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4,
-2.5,
-4,
-6,
-11,
-5,
-0.5,
-3.5
] | 0.970283 | [
0.07402068680094753,
1.5073614578039751,
-1.2666992684437206,
-1.7659760581336494,
1.1918964393531186,
-0.7174241288636667,
-1.2945818069295907,
0.640345842373991,
-2.0164039672798895,
0.906754320820238,
1.1291606588504102,
-0.0963225932464942,
-0.514025711468184,
-0.3896493296815006,
-0... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -59.5,
"target_ratio": 0.97,
"target_value": -57.714999999999996
} | 81 |
b8aaab24da0004c3e40ded7e0da30763 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [5, 1], "expectation_value": -1.2755998646796511, "params": [[0.0689, 0.0654, 0.0281], [-0.056400000000000006, -0.0575, -0.0413]], "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 10, "probabilities": [0.015182239956663388, 0.017048570725555504], "optimization_time": 3.1803348064422607} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(3)) + 2.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.5 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5) + 2.0 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-0.04755975372679777) q[0];
rz(-pi) q[1];
ry(-0.16357168903548214) q[1];
rz(-pi) q[2];
ry(-0.16357168903548214) q[2];
h q[3];
ry(-1.6848675864644589) q[3];
ry(-0.05392656744408793) q[4];
rz(-pi) q[4];
ry(-0.08761228669430021) q[5];
rz(-pi) q[5];
h q[6];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIIIZ",
"IZIZIII",
"ZIIIIIZ",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.75,
2.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
2
] | 0.995678 | [
1.5124481082497874,
-1.6848675864644589,
-1.7984235144880873,
-1.5128877401597436,
-1.43889529306715,
-0.15594893256731784,
0.05940740011829414,
0.13302301188552904,
0.12811099731541742
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 1 |
6412888517233117992 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[5, 6], [8, 9, 11, 6], [0, 1, 4, 5, 7], [1, 2, 11, 5], [3, 6], [0, 2, 4, 5, 9], [0, 3, 4, 5, 8], [1, 2, 4, 6], [0, 9, 5, 7], [8, 2], [0, 10], [8, 7], [10, 2, 7], [2, 10, 5], [9, 11, 4], [0, 1, 2], [0, 3, 11], [1, 6, 7, 9, 11], [0, 3, 5, 8, 9], [0, 8, 11],... | {"states": [2549, 2517], "expectation_value": -4.982895170171896, "params": [[[2.8880000000000003, 0.0019], [1.4802, 0.009000000000000001], [0.6684, 0.003], [2.8887, 0.006], [2.8921, 0.0001], [2.8902, 0.0036000000000000003], [1.4842, 0.0085], [2.8966000000000003, 0.0041], [0.6831, 0.002], [2.8996, 0.0044], [0.8615, 0.0... | 0.5 * (Z(7) @ Z(8)) + 0.08333333333333333 * (Z(10) @ Z(8)) + 0.15000000000000002 * (Z(10) @ Z(7)) + 0.13333333333333333 * (Z(11) @ Z(8)) + 0.39999999999999997 * (Z(11) @ Z(7)) + 0.18333333333333335 * (Z(11) @ Z(10)) + 0.13333333333333333 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(7)) + 0.25 * (Z(3) @ Z(10)) + 0.... | 1 | 12 | 1 | {"smallest_eigenvalues": [-6.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.266666666666665, "smallest_bitstrings": ["011000101010"], "largest_eigenvalue": 21.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(2.8720725907456313) q[0];
rz(-0.49845037754871946) q[0];
rx(0.6880655348687421) q[1];
rz(-0.025483150097764442) q[1];
rx(-0.11404589805796303) q[2];
rz(0.2339348196766929) q[2];
rx(3.355125108231951) q[3];
rz(0.050253554907993776) q[3];
rx(3.170850293723613) 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": []} | [
"IIIZZIIIIIII",
"IZIZIIIIIIII",
"IZIIZIIIIIII",
"ZIIZIIIIIIII",
"ZIIIZIIIIIII",
"ZZIIIIIIIIII",
"IIIZIIIIZIII",
"IIIIZIIIZIII",
"IZIIIIIIZIII",
"ZIIIIIIIZIII",
"IIIIZIIIIIIZ",
"IZIIIIIIIIIZ",
"ZIIIIIIIIIIZ",
"IIIIIIIIZIIZ",
"IIIZIIIIIIZI",
"IIIIZIIIIIZI",
"IZIIIIIIIIZI",
"ZIIIIIIII... | [
0.5,
0.08333333333333333,
0.15000000000000002,
0.13333333333333333,
0.39999999999999997,
0.18333333333333335,
0.13333333333333333,
0.08333333333333333,
0.25,
0.3,
0.2833333333333333,
0.26666666666666666,
0.18333333333333335,
0.3333333333333333,
0.13333333333333333,
0.26666666666666666,... | 0.971205 | [
2.8720725907456313,
-0.49845037754871946,
0.6880655348687421,
-0.025483150097764442,
-0.11404589805796303,
0.2339348196766929,
3.355125108231951,
0.050253554907993776,
3.170850293723613,
0.6783300589357186,
3.1493988830800075,
-0.09459925982415289,
1.006204749687485,
-0.05514489757611418,
... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -6.333333333333333,
"target_ratio": 0.97,
"target_value": -6.143333333333333
} | 12 |
5decfcbe56a68574ecc0d9697d428cd1 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3},... | {"states": [2047, 255], "expectation_value": -20.510311168742188, "params": [[[0.0028, 0.0081], [0.0024000000000000002, 0.0083], [1.5783, 0.0089], [0.0022, 0.0033], [0.0025, 0.0054], [0.0023, 0.0038], [-0.01, 0.0012000000000000001], [0.0022, 0.0029000000000000002], [0.0023, 0.0012000000000000001], [0.002, 0.0032], [3.1... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (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)) + -1.5 * (Z(5) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + -2.0 * (Z(10) @ Z(8)) + -1.5 * (Z(10) @ Z(7)) + -2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + ... | 2 | 11 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["11100000000"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.043961344849943476) q[0];
rz(0.2556392262451467) q[0];
rx(0.0541004421788748) q[1];
rz(-0.09528297672742492) q[1];
rx(2.3965066765730896) q[2];
rz(0.18434915935444815) q[2];
rx(0.05113971237145336) q[3];
rz(-0.2591659741730478) q[3];
rx(0.05449226180665646) 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] x2;
input float[64] x3;
input float[6... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIZIIZIII",
"IIIIZIZIIII",
"IIIIIIZZIII",
"IIIIZZIIIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIZZIIIIIII",
"ZIZIIIIIIII",
"ZIIZIIIIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIZIIII... | [
-2,
-2,
0.5,
-2,
-2,
0.5,
-2,
0.5,
-1.5,
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-1.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.977225 | [
-0.043961344849943476,
0.2556392262451467,
0.0541004421788748,
-0.09528297672742492,
2.3965066765730896,
0.18434915935444815,
0.05113971237145336,
-0.2591659741730478,
0.05449226180665646,
0.1570048785572661,
0.00839812317774766,
-0.2815197110682442,
-0.2123630376648317,
-0.047049850948499... | {
"n_parameters": 19,
"n_qubits": 11,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 10 |
4b84faaad3bf7a7580aeb2d06aa05d30 | 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": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [90, 218], "expectation_value": -2.486064785265037, "params": [[[0.0021000000000000003, 0.0049], [1.6006, 0.004], [1.61, 0.0028], [1.2468000000000001, 0.0091], [1.6101, 0.006200000000000001], [1.6119, 0.008400000000000001], [0.0024000000000000002, 0.0088], [1.6093000000000002, 0.0027], [0.0021000000000000003... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(4) @ Z(1) @ Z(2)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.6443048231322337) q[0];
rz(0.006560768441313605) q[0];
ry(-0.027382260011189343) q[1];
rz(-0.7560049664427597) q[1];
cz q[1], q[0];
ry(0.9810391421707605) q[0];
rz(0.06776315940811514) q[0];
ry(-0.027308400411524384) q[1];
ry(0.0265417769160132) q[2];
rz(-0.1634300... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIIIZZZI",
"IIIIZIZZI",
"IIIIZZIZI",
"IIIIZZZII",
"IIIIZZZZI",
"IIIIIIIZZ",
"IIIZIIIIZ",
"IIIZIIIZI",
"IIIZIIIZZ",
"IIZIIIZII",
"IZIIIZIII",
"IIIZZIIII",
"IZIIZIIII",
"ZIIIZIIII",
"IZIZIIIII",
"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.75,
0.125,
-0.125,
-0.125,
0.25,
0.125,
-1,
-0... | 0.97263 | [
0.6443048231322337,
0.006560768441313605,
-0.027382260011189343,
-0.7560049664427597,
0.0265417769160132,
-0.16343002633692252,
0.7535600767425178,
-0.009680950261477334,
-0.5862013133244105,
0.334164896560638,
0.40367329899142573,
-0.20895155023113984,
-0.11005399046168386,
-0.29806456352... | {
"n_parameters": 81,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 12 |
74a9039e61abdfc370e0e9ccbda58085 | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 5}]} | {"states": [2, 34], "expectation_value": -1.6519465683691066, "params": [0.8004, 0.039900000000000005, 0.30860000000000004, 0.4929, 0.0027, 0.596, 0.0023, -0.4786, 0.8064, 0.035300000000000005, 0.32280000000000003, 0.5168, 0.8097000000000001, 0.0045000000000000005, 0.31220000000000003, 0.007, 0.0027, 0.0081, 0.0023, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 3 | 6 | 2 | {"smallest_eigenvalues": [-2.625, -2.625, -2.625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.625, "smallest_bitstrings": ["011110", "101101", "011101"], "largest_eigenvalue": 5.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.477440440231795) q[0];
ry(-0.06728346725284151) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.022464637706429983) q[2];
ry(-0.14026191198045032) q[3];
rz(-pi) q[3];
h q[4];
h q[5];
ry(-0.5587307208019142) q[5];
cx q[4], q[5];
ry(0.5587307208019142) q[5];
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[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIIZ",
"IZIIIZ",
"IIIZIZ",
"IZZIII",
"IIZZII",
"IZIZII",
"IZZIIZ",
"IIZZIZ",
"IZIZIZ",
"IZZZII",
"IZZZIZ",
"ZIIIZI",
"ZZIIII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
-0.125,
-0.5,
-0.625,
-0.125,
-0.625,
-0.5
] | 0.985036 | [
-1.51259205572021,
-1.455297284188031,
-1.5790493769346474,
1.477440440231795,
-1.1174614416038284,
0.8138164984265778,
-0.3239264793788754,
0.4355121917407859,
-0.29038767173572155,
-0.09643115070804845,
-0.028423175133358375,
0.06490628447523733,
0.1641152818115272,
-0.1905830969119133,
... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -2.625,
"target_ratio": 0.97,
"target_value": -2.54625
} | 1 |
60adc8c0ec7ab7eb551a043d909b727d | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 6}, {"weight": 1, "source": 2, "target... | {"states": [38314, 21930], "expectation_value": -2.018389880565222, "params": [[[3.1442, 0.0017000000000000001], [1.6273, 0.008700000000000001], [3.1438, 0.0061], [-3.1097, 0.0078000000000000005], [3.1442, 0.0005], [-3.1060000000000003, 0.0099], [3.1442, 0.0068000000000000005], [-0.0025, 0.007500000000000001], [3.1438,... | 0.25 * (Z(0) @ Z(1)) + 0.00015432098765432098 * (Z(2) @ Z(0)) + 0.00015432098765432098 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00015432098765432098 * (Z(4) @ Z(0)) + -0.0010802469135802468 * (Z(4) @ Z(2)) + 0.00015432098765432098 * (Z(5) @ Z(1)) + -0.0010802469135802468 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 2 | 16 | 1 | {"smallest_eigenvalues": [-2.021759259259196], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.021759259259153, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.018364197530848} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(3.157629728712919) q[0];
rz(-0.05065862254335604) q[0];
rx(1.6416647304574323) q[1];
rz(0.05964170266436333) q[1];
rx(3.1651119635401623) q[2];
rz(0.05191482781149611) q[2];
rx(-3.1162030666750065) q[3];
rz(0.0469185574307937) q[3];
rx(3.157629728712919) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
0.00015432098765432098,
0.00015432098765432098,
0.25,
0.00015432098765432098,
-0.0010802469135802468,
0.00015432098765432098,
-0.0010802469135802468,
0.25,
-0.0012345679012345679,
0.00030864197530864197,
-0.0010802469135802468,
-0.0012345679012345679,
0.00030864197530864197,
-0.001... | 0.998031 | [
3.157629728712919,
-0.05065862254335604,
1.6416647304574323,
0.05964170266436333,
3.1651119635401623,
0.05191482781149611,
-3.1162030666750065,
0.0469185574307937,
0.03975562226755169,
-3.137240287190392,
0.03163523954366356,
0.02673832735016573,
0.1325461038340803,
0.10498493591854174,
... | {
"n_parameters": 27,
"n_qubits": 16,
"optimal_eigenvalue": -2.021759259259196,
"target_ratio": 0.97,
"target_value": -1.9611064814814203
} | 1 |
8a8a4905c9b0f8fd7847dc408134a288 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}], "edges": [{"capacity": 5, "source": 0, "target": 1}]} | {"states": [4, 0], "expectation_value": -3.2999744317987227, "params": null, "bitstrings": ["011", "111"], "total_optimization_steps": 4, "probabilities": [1.0971972809140004e-05, 0.9999872097052316], "optimization_time": 0.9992578029632568} | -0.2 * (Z(0) @ Z(1)) + -0.4 * (Z(2) @ Z(1)) + -0.2 * (Z(2) @ Z(0)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) | 1 | 3 | 3 | {"smallest_eigenvalues": [-3.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["111"], "largest_eigenvalue": 1.7000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.06424924399158577) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.04813350541764115) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(1.5498376269972) q[1];
rx(1.7036418680237873) q[1];
rz(-0.06424924399158577) q[2];
cx q[0], q[2];
rz(1.2431... | null | {"source": 0, "sink": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5681) q[1];\nry(-1.5708)... | [
"IZZ",
"ZZI",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
-0.2,
-0.4,
-0.2,
-1,
-0.5,
-1
] | 0.971481 | [
-0.06424924399158577,
0.04813350541764115,
1.5498376269971996,
1.2431540253041897,
1.7036418680237873
] | {
"n_parameters": 5,
"n_qubits": 3,
"optimal_eigenvalue": -3.3,
"target_ratio": 0.97,
"target_value": -3.2009999999999996
} | 20 |
36d9a5cf3521b49d4476ce715d8c0ad7 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capaci... | {"states": [23, 5], "expectation_value": -3.138876429860777, "params": [[0.0709, 0.0575, 0.0437], [-0.0702, -0.0512, -0.044500000000000005]], "bitstrings": ["101000", "111010"], "total_optimization_steps": 10, "probabilities": [0.04330597046561543, 0.044876990483637816], "optimization_time": 3.003744602203369} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(5)) + 0.25 * Z(1) + -0.25 * Z(0) + -2.0 * Z(2) + -0.5 * Z(4) + 1.0 * Z(5) + 1.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["111010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.6292887025535705) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.04618041281989933) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.007673726159640182) q[2];
cx q[0], q[2];
rz(-0.6083754899099731) q[2];
rx(-1.404979792842081) q[2];
h q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"IIZIZI",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
-0.25,
-0.75,
-1.25,
-2.5,
-1.25,
-0.5,
3,
-0.75,
-0.75,
-1.5,
0.25,
-0.25,
-2,
-0.5,
1,
1.5
] | 0.970099 | [
-0.6292887025535705,
0.04618041281989933,
-0.007673726159640182,
0.0014916916360776782,
-0.46060734627126926,
0.3239788305077106,
0.01849303280472035,
-0.5146328598809707,
-0.6083754899099729,
0.8594047236079715,
0.5729854675707052,
-1.404979792842081,
-0.3213977582439117,
0.02464735125219... | {
"n_parameters": 36,
"n_qubits": 6,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 216 |
a5c40d068011c4e4e7f2c8be1bf9e74e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 4, "so... | {"states": [15, 1], "expectation_value": -0.6804721280939788, "params": [[-0.0426, -0.0436], [0.0557, 0.0519]], "bitstrings": ["10000", "11110"], "total_optimization_steps": 10, "probabilities": [0.03894705084601373, 0.041630028125670675], "optimization_time": 1.5811519622802734} | -1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.75 * Z(4) + 0.25 * Z(2) + -2.25 * Z(3) | 1 | 5 | 2 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.403513744402808) q[0];
rz(-pi) q[1];
ry(-0.26244175595439895) q[1];
rz(-pi) q[2];
ry(-0.029488094427819626) q[2];
h q[3];
ry(-1.4713482188317892) q[3];
h q[4];
cx q[4], q[0];
ry(0.403513744402808) q[0];
cx q[4], q[0];
ry(-1.102703959745292) q[0];
ry(1.6020... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIZZ",
"ZIIZI",
"ZIIIZ",
"IIZZI",
"IZIZI",
"IZZII",
"IIIZI",
"IIIIZ",
"ZIIII",
"IIZII",
"IZIII"
] | [
-1.5,
-1,
1.75,
-0.75,
-1.25,
-1,
1.5,
-0.25,
0.75,
0.25,
-2.25
] | 0.971362 | [
-1.4713482188317892,
-0.807027488805616,
1.4911052735712893,
-1.102703959745292,
-1.7020375436318982,
-1.833778612837321,
0.221883680341239,
0.20350624481836382,
0.0010810601760510158,
0.1165906038876539
] | {
"n_parameters": 10,
"n_qubits": 5,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 14 |
3a96def0087bb3e839e31265faaf073e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target":... | {"states": [2, 1023], "expectation_value": -7.538300948965003, "params": [[[-0.8536, 0.0027], [0.0067, 0.001], [-0.0006000000000000001, -0.0025], [0.0009000000000000001, -0.0025], [0.008, 0.0001], [0.0001, 0.0023], [-0.0014, -0.0025], [-0.0004, 0.0026000000000000003], [-0.0057, 0.0029000000000000002], [0.00130000000000... | -0.25 * (Z(0) @ Z(8)) + -0.5 * (Z(1) @ Z(5)) + -0.25 * (Z(6) @ Z(8)) + -0.5 * (Z(6) @ Z(1)) + -0.75 * (Z(10) @ Z(8)) + -0.5 * (Z(10) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(10)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(10)) + -0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 15 | 11 | 4 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.2914143379545892) q[0];
ry(0.019018688334968274) q[1];
ry(0.0009112809639463294) q[2];
ry(0.025636931019475312) q[3];
ry(0.009265349886640422) q[4];
ry(-0.01945340878504003) q[5];
ry(0.06704389347333063) q[6];
ry(0.006567284239184323) q[7];
ry(-0.01945340878504003... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIZ",
"IIIIIZIIIZI",
"IIZIZIIIIII",
"IIIIZIIIIZI",
"ZIZIIIIIIII",
"ZIIIIIIIIZI",
"IIIIIIIIZIZ",
"IIIIIZIIZII",
"IIIIIIIIZZI",
"ZIIIIIIIZII",
"IIIIZIIZIII",
"ZIIIIIIZIII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"ZIIIIIZIIII",
"IIZZIIIIIII",
"IIIZIIIIIZI",
"IZIIIIIIIZI",
"IZIIIIIIZ... | [
-0.25,
-0.5,
-0.25,
-0.5,
-0.75,
-0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
1.5,
-0.5,
0,
-1.5,
0,
0.75,
0,
0.75
] | 0.972253 | [
0.2914143379545892,
0.019018688334968274,
0.0009112809639463294,
0.025636931019475312,
0.009265349886640422,
-0.01945340878504003,
0.06704389347333063,
0.006567284239184323,
-2.275920299250488,
-0.376979350318399,
-2.362254319516095,
0.30445746659906897,
0.0002758444082375418,
0.0138823902... | {
"n_parameters": 37,
"n_qubits": 11,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 165 |
2d427a1b11a2ac0cd77be7e19f4886a5 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [32, 31], "expectation_value": -0.7581055854025023, "params": [[-0.0621, -0.0731], [0.06910000000000001, 0.0717]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.025028138949651738, 0.025645661735740996], "optimization_time": 2.037107467651367} | 0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * Z(5) + -0.25 * Z(0) + 0.25 * Z(1) + -0.75 * Z(4) + -0.25 * Z(2) + 1.25 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-pi) q[0];
ry(-0.36832466187853724) q[0];
h q[1];
ry(0.6996506090294817) q[1];
h q[2];
ry(1.4341160390699692) q[2];
h q[3];
ry(0.4350596706101028) q[3];
h q[4];
cx q[4], q[3];
ry(-0.4350596706101028) q[3];
cx q[4], q[3];
cx q[3], q[2];
ry(-1.4341160390699692) q[2];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"ZIIIIZ",
"ZIIIZI",
"IZIIZI",
"IIIZZI",
"IIZIZI",
"IZZIII",
"IIZZII",
"ZIIIII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"IIIZII",
"IIZIII"
] | [
0.25,
-0.5,
-0.75,
-0.75,
-0.25,
-2,
-1,
-0.25,
-0.25,
0.25,
-0.75,
-0.25,
1.25
] | 0.972729 | [
0.8701193412202056,
1.4380100031703458,
1.3993012180589635,
2.8682320781399384,
1.8506303529500285,
-0.13033527471164086,
-0.8865785813861408,
-2.183550689572806,
1.5402963289907818,
0.48885940179874426,
-1.2256497487012028,
-0.16742620949253897,
2.0704686115455657,
-0.4358628055452006,
... | {
"n_parameters": 29,
"n_qubits": 6,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 108 |
6392584644503107042 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 3, 5], [0, 3, 4], [2, 4]]} | {"states": [60, 45], "expectation_value": -0.34029528183929575, "params": [[-0.3388], [0.3458]], "bitstrings": ["000011", "010010"], "total_optimization_steps": 40, "probabilities": [0.027243038780800942, 0.02724303878080095], "optimization_time": 1.6821603775024414} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.125 * Z... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.0833333333333335, -1.0833333333333335, -1.0833333333333335, -1.0833333333333335], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0, "smallest_bitstrings": ["101000", "000011", "001100", "010010"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.1687271060965715e-07) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-1.1687271060965715e-07) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-1.5707960609961396) q[3];
cx q[0], q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(-1.1687271060965... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[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], ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"IZIIIZ",
"IZZIII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IZIIII",
"IIIZII"
] | [
0.08333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.125,
0.29166666666666663,
0.29166666666666663,
0.125,
0.16666666666666663,
0
] | 0.818294 | [
-1.1687271060965715e-7,
-1.5707960609961396,
-1.452711863649659e-7,
-1.5707961825372765,
-1.5707966175191466,
-1.3853028513804687e-7,
-4.630171633064887e-8,
0.8148503024883176
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -1.0833333333333335,
"target_ratio": 0.97,
"target_value": -1.0508333333333335
} | 171 |
3536030517596435129 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 5, 6, 7], [0, 1, 5, 6, 7], [1, 2, 3, 6, 7], [0, 1, 2, 6], [0, 1, 2, 3, 5], [0, 1, 3, 6], [2, 3, 4, 5, 6], [0, 4, 6], [4, 5, 7], [1, 2, 3, 5, 6], [0, 4, 5], [1, 4, 7], [2, 3, 5, 7]]} | {"states": [230, 110], "expectation_value": -3.058768189384847, "params": null, "bitstrings": ["00011001", "10010001"], "total_optimization_steps": 44, "probabilities": [0.048819181796459915, 0.8836878384655279], "optimization_time": 77.63473391532898} | 0.31666666666666665 * (Z(2) @ Z(5)) + 0.23333333333333334 * (Z(6) @ Z(5)) + 0.31666666666666665 * (Z(6) @ Z(2)) + 0.3833333333333333 * (Z(7) @ Z(5)) + 0.21666666666666667 * (Z(7) @ Z(2)) + 0.18333333333333335 * (Z(7) @ Z(6)) + 0.26666666666666666 * (Z(0) @ Z(5)) + 0.13333333333333333 * (Z(0) @ Z(2)) + 0.383333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.1666666666666674], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0833333333333326, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 12.999999999999998} | 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];
cx q[5], q[2];
rz(0.029820648576172143) q[2];
cx q[5], q[2];
h q[6];
cx q[5], q[6];
rz(0.01704248374380765) q[6];
cx q[5], q[6];
cx q[2], q[6];
rz(0.029820648576172143) q[6];
cx q[2], q[6];
h q[7];
cx q[5], q[7];
rz(0.0321... | 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(1.5676) 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[... | [
"IIZIIZII",
"IZZIIIII",
"IZIIIZII",
"ZIZIIIII",
"ZIIIIZII",
"ZZIIIIII",
"IIZIIIIZ",
"IIIIIZIZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIZIIIZI",
"IIIIIZZI",
"IZIIIIZI",
"ZIIIIIZI",
"IIIIIIZZ",
"IIZIZIII",
"IIIIZZII",
"IZIIZIII",
"ZIIIZIII",
"IIIIZIIZ",
"IIIIZIZI",
"IIZZIIII",
"IIIZIZI... | [
0.31666666666666665,
0.23333333333333334,
0.31666666666666665,
0.3833333333333333,
0.21666666666666667,
0.18333333333333335,
0.26666666666666666,
0.13333333333333333,
0.3833333333333333,
0.05,
0.15000000000000002,
0.23333333333333334,
0.31666666666666665,
0.26666666666666666,
0.266666666... | 0.839619 | [
0.029820648576172143,
0.01704248374380765,
0.032104572618955135,
0.0930539376890486,
0.00973369619411554,
0.045303933120457995,
0.21067969521840327,
-0.4560622975814352,
0.000468648156604575,
0.3899154374530673,
1.0813878143844282,
-0.014542257935884388,
1.5790078233740983,
-1.096807195677... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -3.1666666666666674,
"target_ratio": 0.97,
"target_value": -3.071666666666667
} | 427 |
69144809aea48cb46eae9c3950f24a15 | edge_cover | 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": [0, 2], "expectation_value": -0.535924494693161, "params": [[-0.07100000000000001, -0.07490000000000001, -0.06910000000000001, -0.0424], [0.0714, 0.0757, 0.0746, 0.0632]], "bitstrings": ["111", "101"], "total_optimization_steps": 10, "probabilities": [0.1426418083350869, 0.20581203088909888], "optimization_t... | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + -1.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2) | 1 | 3 | 4 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["101"], "largest_eigenvalue": 3.5} | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"ZZI",
"IZZ",
"IIZ",
"IZI",
"ZII"
] | [
0.5,
0.5,
-1,
-0.5,
-1
] | 0.983631 | [
0.12397642308111168,
-1.0412824378997723,
0.6551677416149958,
-0.6835570607299902,
0.023146836072959226,
-0.5048269617904716,
0.6814886991250588,
-0.7325852103426811,
0.006386053532258323,
-0.47655542685563346,
0.11597712833781966,
-0.2813397718212035
] | {
"n_parameters": 12,
"n_qubits": 3,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
4315165191409007155 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 2, 7], [0, 1, 2, 4, 5, 8], [9, 5, 6, 7], [2, 3, 4, 5], [8, 4, 7], [1, 6, 7], [2, 3, 6, 7, 8], [1, 3], [0, 2, 5, 6, 8, 9], [2, 4, 5, 6, 8, 9], [8, 1, 4, 6], [0, 3, 6, 7, 8], [1, 4, 7]]} | {"states": [748, 764], "expectation_value": -2.8139008787599655, "params": [1.3591, 1.7815, 0.1574, 0.1312, 1.77, 1.3956000000000002, 1.0645, 1.0221, 1.5450000000000002, 1.5725, 1.6837, 0.642, 1.7431, 1.3918000000000001, 1.2509000000000001, 1.78, 1.5678, 1.5008000000000001, 1.7861, 1.4038000000000002, 0.341, 1.61940000... | 0.2333333333333333 * (Z(9) @ Z(2)) + 0.21666666666666667 * (Z(7) @ Z(2)) + 0.25 * (Z(7) @ Z(9)) + 0.06666666666666667 * (Z(0) @ Z(2)) + 0.03333333333333333 * (Z(0) @ Z(9)) + 0.05 * (Z(0) @ Z(7)) + 0.03333333333333333 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(1) @ Z(7)) + 0.03333333333333333 * (Z(1) @ Z(0)) + 0.15 * (Z(... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.200000000000001, "smallest_bitstrings": ["0100000011"], "largest_eigenvalue": 12.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.4354163417286687) q[0];
rz(pi/2) q[0];
ry(-0.1244057936679016) q[1];
ry(2.3144584451118893) q[2];
ry(1.488996064129533) q[3];
ry(1.5627005154213316) q[4];
ry(1.9027994069590457) q[5];
ry(1.73266761654934) q[6];
ry(1.4646902441162166) q[7];
ry(1.4839826949061246) 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": []} | [
"ZIIIIIIZII",
"IIZIIIIZII",
"ZIZIIIIIII",
"IIIIIIIZIZ",
"ZIIIIIIIIZ",
"IIZIIIIIIZ",
"IIIIIIIZZI",
"IIZIIIIIZI",
"IIIIIIIIZZ",
"IIIIIZIZII",
"ZIIIIZIIII",
"IIZIIZIIII",
"IIIIIZIIIZ",
"IIIIIZIIZI",
"IIIIZIIZII",
"ZIIIZIIIII",
"IIZIZIIIII",
"IIIIZIIIIZ",
"IIIIZIIIZI",
"IIIIZZIIII"... | [
0.2333333333333333,
0.21666666666666667,
0.25,
0.06666666666666667,
0.03333333333333333,
0.05,
0.03333333333333333,
0.3333333333333333,
0.03333333333333333,
0.15,
0.03333333333333333,
0.3333333333333333,
0.03333333333333333,
0.2833333333333333,
0.18333333333333332,
0.15,
0.0833333333... | 0.970504 | [
1.4354163417286687,
-0.1244057936679016,
2.3144584451118893,
1.488996064129533,
1.5627005154213316,
1.9027994069590457,
1.73266761654934,
1.4646902441162166,
1.4839826949061246,
2.1198701509028317,
0.23652608225130367,
0.38615961920662184,
1.0058064845924954,
0.2296572966391447,
0.305560... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 32 |
8400dfc59c687750e53928e5f0a8ca8d | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 6}, {"capac... | {"states": [512, 511], "expectation_value": -25.525263746943576, "params": [[[-0.0036000000000000003, -0.0058000000000000005], [-0.0068000000000000005, -0.0026000000000000003], [-0.0013000000000000002, 0.0023], [0.0029000000000000002, -0.0028], [0.0051, -0.0029000000000000002], [0.014400000000000001, -0.003], [-0.0016,... | -1.25 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + -2.0 * (Z(6) @ Z(2)) + -0.75 * (Z(9) @ Z(1)) + 1.5 * (Z(9) @ Z(0)) + -0.75 * (Z(9) @ Z(2)) + -1.5 * (Z(9) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(6)) + -0.75 * (Z(3) @ Z(9)) + -0.5 * (Z(8) @ Z(1)) + -1.5 * (Z(8) @ Z(2)) + -1.75 * (Z(8) @ ... | 15 | 10 | 2 | {"smallest_eigenvalues": [-26.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.25, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 26.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.08957962352499253) q[0];
ry(0.2037516946214518) q[1];
ry(-0.09877152810391529) q[2];
ry(0.030775074362227636) q[3];
ry(-0.004978525185395981) q[4];
ry(-0.09652404336030149) q[5];
ry(0.07886397654307031) q[6];
ry(-0.09877152810391529) q[7];
ry(0.05318018898971929)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIZIIIIZI",
"IIIZIIIZII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"ZIIZIIIIII",
"IIIIIIZZII",
"IIIZIIZIII",
"ZIIIIIZIII",
"IZIIIIIIZI",
"IZIIIIIZII",
"IZIZIIIIII",
"ZZIIIIIIII",
"IZIIIIZIII",
"IIIZIZIIII",
"IZIIIZIIII",
"IIIIZIIIZI",
"IIIZZIIIII"... | [
-1.25,
-2.5,
-0.75,
-2,
-0.75,
1.5,
-0.75,
-1.5,
-1.5,
-1.25,
-0.75,
-0.5,
-1.5,
-1.75,
-1.25,
-1.5,
-1.5,
-1,
-1,
-1.75,
-0.25,
-1,
-0.75,
-0.75,
-0.25,
-2.75,
0.25,
-3.5,
4,
3,
-1.5,
1,
0.5
] | 0.971063 | [
-0.08957962352499253,
0.2037516946214518,
-0.09877152810391529,
0.030775074362227636,
-0.004978525185395981,
-0.09652404336030149,
0.07886397654307031,
0.05318018898971929,
2.1593256825826113,
0.011575758826274728,
-0.01573785635466554,
0.035353900188569015,
0.005392259967599903,
0.0055252... | {
"n_parameters": 38,
"n_qubits": 10,
"optimal_eigenvalue": -26.25,
"target_ratio": 0.97,
"target_value": -25.4625
} | 25 |
96ccbb83c354723a5662bdaecab6064e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target":... | {"states": [0, 256], "expectation_value": -7.362496240717767, "params": [-0.004200000000000001, 0.0603, 0.0011, 0.1203, -0.0044, 0.23600000000000002, -0.0015, 0.23090000000000002, 0.2972, 0.00030000000000000003, 0.2997, 0.0002, -0.00030000000000000003, 0.1723, -0.0059, 0.2371, 0.0011, 0.2348, -0.0038, 0.2214, -0.001700... | -0.25 * (Z(0) @ Z(6)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -0.25 * (Z(7) @ Z(5)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(7)) + -1.0 * (Z(8) @ Z(3)) + -0.25 * (Z(9) @ Z(5)) + -0.25 * (Z(9) @ Z(7)) + -0.25 * (Z(9) @ Z(3)) + -0.5 * (Z(9) @ Z(8)) + -0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 6 | 11 | 3 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -6.75, "smallest_bitstrings": ["11000111011", "11011111111", "10000010010", "10000010000", "10000000000", "11001111011", "10000000010"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.27985219664412264) q[0];
rz(1.6291265835799713) q[0];
rx(-0.09400613384857336) q[1];
rz(1.8110365940614255) q[1];
rx(0.6662907258084031) q[2];
rz(1.4820366190851733) q[2];
rx(0.049214215643218345) q[3];
rz(1.7188151892419539) q[3];
rx(-0.00825875212422629) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZ",
"IIIIZZIIIII",
"IIIIIZIIIZI",
"IIIZIZIIIII",
"IIIZIIIZIII",
"IIZIZIIIIII",
"IIZZIIIIIII",
"IIZIIIIZIII",
"IZIIIZIIIII",
"IZIZIIIIIII",
"IZIIIIIZIII",
"IZZIIIIIIII",
"IIIIIZZIIII",
"IIZIIIZIIII",
"ZIIIIZIIIII",
"ZIIIIIIIIZI",
"ZIIZIIIIIII",
"IIIIZIIIZII",
"IIIIIIIIZ... | [
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-1,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
0.5,
-1,
-0.25,
0.75,
0,
-0.25,
0.75,
1.5,
-1.25,
0,
-0.5,
0.25
] | 0.970666 | [
-0.27985219664412264,
0.05833025678507432,
-0.09400613384857336,
0.24024026726652897,
0.6662907258084031,
-0.08875970770972264,
0.049214215643218345,
0.1480188624470576,
-0.00825875212422629,
0.48268693537467744,
0.02204389868270948,
0.21747544766577043,
0.03723307556537641,
0.226134580308... | {
"n_parameters": 87,
"n_qubits": 11,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 9 |
9d0fda9991561362ccfc12e66c38b9f5 | 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": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [61, 93], "expectation_value": -3.1570796975267292, "params": null, "bitstrings": ["11000010", "10100010"], "total_optimization_steps": 55, "probabilities": [0.07330224985660826, 0.7568195485491375], "optimization_time": 129.8884072303772} | 0.5 * (Z(1) @ Z(2)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(3) @ Z(0)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(3) @ Z(1)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(5)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(4) @ Z(5)) + -0.0625 * (Z(3) @ Z(0) @ Z(1)) + -0.0625 * (Z(0)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-3.5625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5625, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 5.4375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.05915602651802649) q[0];
rz(-0.15469163530750052) q[0];
rx(3.4191362901712914) q[1];
rz(0.45246714787639103) q[1];
rx(0.17983961904902268) q[2];
rz(-0.05096309531274679) q[2];
rx(3.0050058723652) q[3];
rz(1.0763901855253808) q[3];
rx(3.085973281590634) q[4];
rz(0.... | 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(-1.4868) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIZIIIZI",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIIIZIZZ",
"IIIZIIZZ",
"IIZIIIZZ",
"IIIZZIIZ",
"IIZIZIIZ",
"IIZZIIIZ",
"IIIZZIZI",
"IIZIZIZI",
"IIZZIIZI",
"IIZZZIII",
"IIIZZIZZ",
"IIZIZIZ... | [
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.25,
0.25,
0.25,
-0.25,
0.5,
... | 0.971457 | [
-0.05915602651802648,
-0.1292100876511263,
3.4191362901712914,
0.45246714787639103,
0.17983961904902268,
-0.05096309531274679,
3.0050058723652,
1.0763901855253808,
3.085973281590634,
0.20126058805128294,
3.3609533359992207,
0.3973179116121901,
0.08371651178469919,
-0.042244168201899246,
... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 21 |
8ed7cc91faf8f25841f02066a68a347e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 4... | {"states": [0, 63], "expectation_value": -0.20258502802146136, "params": [[0.006900000000000001, 0.021500000000000002, -0.003, 0.042100000000000005], [-0.0006000000000000001, -0.0207, 0.0172, -0.0143]], "bitstrings": ["1111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.008428546956521862, 0.00846... | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -0.75 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(4)) + -0.75 * (Z(5) @ Z(6)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.0 * Z(2) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(1.2166224269295487e-08) q[0];
h q[0];
rx(-4.703941950630459e-08) q[1];
h q[1];
rx(1.0471278675330475) q[2];
h q[2];
rx(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIZIIZI",
"IIZIZII",
"ZIZIIII",
"IIIZZII",
"ZIIZIII",
"IIZZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIZIIII",
"IIIZIII",
"IZIIIII"
] | [
-1,
-0.75,
-1.5,
-1,
2.75,
-1,
-1.5,
-1,
-0.75,
-1,
-1.5,
-0.75,
-1.25,
-0.25,
0,
-1,
1.5,
0.25,
0.75
] | 0.65 | [
1.2166224269295487e-8,
-4.703941950630459e-8,
1.0471278675330475,
1.2694902564808772,
-0.4424797841444536,
1.333973771782864,
1.4117920327011293,
0.8124159459374324,
2.2415472708782914e-8,
-1.494340033644694,
1.5729220330218228e-7,
0.44247981073379616,
4.2241866926873623e-8,
0.381873338045... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 446 |
e9e1c3bad7671d416f508c960af260f6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [33, 1], "expectation_value": -0.49255386916280963, "params": [[-0.062400000000000004, -0.0352], [0.0781, 0.0631]], "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.012136701430474, 0.012320915721680911], "optimization_time": 2.4088211059570312} | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.0 * Z(5) + -1.0 * Z(2) + 0.25 * Z(1) + -0.5 * Z(3) + 1.25 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.25, "smallest_bitstrings": ["1111110", "1011110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5744169391312657) q[0];
h q[1];
ry(-0.05753664395928477) q[2];
rz(-pi) q[2];
rz(-pi) q[3];
ry(-0.024728804110098233) q[3];
ry(-0.05753664395928477) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.5744169391312657) q[5];
h q[6];
ry(1.5912199140774594) q[6];
cx q[6], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZIIIIZ",
"IIZIZII",
"IZIIZII",
"IIIIZZI",
"IZIZIII",
"IIIZZII",
"ZIZIIII",
"ZIIIIIZ",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII"
] | [
-0.75,
-0.5,
-0.75,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
1.5,
0.25,
-0.25,
0,
-1,
0.25,
-0.5,
1.25
] | 0.999378 | [
1.5912199140774594,
-1.5744169391312657,
-1.485651063635235,
-1.5624441216083338,
-0.06616201859332208,
-0.05521723840075406
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 1 |
fb6267fe9e00f958431b621d7db08da1 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [63, 1], "expectation_value": -0.19476854799464743, "params": [[-0.0507, -0.0539], [0.0611, 0.061500000000000006]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.010142309789454924, 0.010653269835917517], "optimization_time": 2.7657241821289062} | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + 0.5 * Z(6) + -1.0 * Z(1) + 0.0 * Z(2) + 0.25 * Z(3) + 0.... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.8256979864230616) q[0];
ry(-0.06047270206602687) q[1];
rz(-pi) q[1];
ry(-0.014969240940445772) q[2];
rz(-pi) q[2];
h q[3];
rz(-pi) q[4];
ry(-0.03264831394078908) q[4];
h q[5];
ry(0.38986338903582735) q[5];
cx q[3], q[5];
ry(-0.38986338903582735) q[5];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IIIIZZI",
"IZIZIII",
"IIIZIZI",
"IIIZZII",
"IZZIIII",
"IIZIIZI",
"IIZZIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
0.5,
-0.25,
-0.25,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
0.25,
-0.25,
0.5,
-1,
0,
0.25,
0.25
] | 0.9716 | [
-1.4905875067940901,
1.6866535584938058,
-1.6513959728461232,
0.7797267780716547,
-0.9916435268869962,
-1.0342852189492289,
-1.045626493862757,
-1.5904426894702208,
-0.4859469214319778,
-1.4056839420523877,
-0.3002862876041261,
0.19491589361314454,
-0.12374949131886509,
-0.0260039025309298... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 4 |
-1093134671775269203 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 3], [0, 5], [2, 5], [2, 4], [3, 5], [2, 3], [0, 1], [3, 4], [0, 2], [1, 4]]} | {"states": [36, 38], "expectation_value": -0.04575385405543646, "params": [[[1.705, 0.002], [1.4469, 0.0079], [1.4533, 0.0035], [1.7273, 0.007], [1.5711000000000002, 0.0016], [1.4445000000000001, 0.0058000000000000005]]], "bitstrings": ["011011", "011001"], "total_optimization_steps": 180, "probabilities": [0.028932708... | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["100110", "011001"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.222753958967844) q[0];
h q[1];
ry(0.7835813655029321) q[1];
h q[2];
h q[3];
ry(-0.222753958967844) q[3];
cx q[2], q[3];
ry(0.222753958967844) q[3];
cx q[2], q[3];
ry(-0.4223923935412427) q[3];
ry(1.504834767978917) q[2];
h q[4];
ry(-0.6686094231554726) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} | [
"IIZIZI",
"IIIIZZ",
"ZIZIII",
"ZIIIIZ",
"IIZZII",
"IIIZIZ",
"ZIIZII",
"IZZIII",
"IZIIZI",
"IZIZII",
"IIZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IZIIII"
] | [
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
] | 0.971246 | [
-0.445507917935688,
1.5112216571217283,
1.5671627310058642,
-1.2341556436360819,
-0.8447847870824854,
1.4554089905806686,
-1.3372188463109451,
0.0988515547964965,
-0.4993922951978633,
-0.06646535457215381,
0.2727399042435233,
-0.24599352074013636,
0.1654043772324636,
-0.04168105901908488,
... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 16 |
f156f991f453bf2551660b1dc00bf1f6 | 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": 4, "source": 0, "target": 3}, {"capacity": 3, "s... | {"states": [0, 1], "expectation_value": -14.941358532836762, "params": [-0.0025, -0.0942, 0.003, -0.1308, 0.0053, -0.07150000000000001, -0.00030000000000000003, -0.1375, 0.0081, -0.1406, 0.001, -0.1442, 0.0053, -0.1342, -0.0017000000000000001, -0.1507, 0.0024000000000000002, -0.1298, 0.0074, -0.14300000000000002, 0.002... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -1.0 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(7... | 5 | 9 | 4 | {"smallest_eigenvalues": [-18.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 20.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.12570712515330748) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.12570712515330748) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.22704783355376354) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.22704783355376354) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IZIIIIZII",
"IZIIIZIII",
"IZIIZIIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIIZIII",
"IZZIIIIII",
"IIZZIIIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
-0.5,
-0.5,
-1,
-1,
-0.75,
-1,
-0.75,
-1,
-0.25,
-1,
-1.5,
-1,
-1,
-1,
-0.75,
3,
-1,
-0.25,
-3.5,
-0.25,
-0.75,
1.5,
1.5,
-2,
-0.25,
2,
1.75
] | 0.569152 | [
-0.12570712515330748,
-0.22704783355376354,
-0.5549918258138725,
-0.37992434425719607,
-1.068212924335073,
0.9192695580131233,
-1.396744275441003,
0.02980346737333757,
-1.107224868469489,
0.40004090429014577,
0.8474854472406951,
-1.0331853808194436
] | {
"n_parameters": 12,
"n_qubits": 9,
"optimal_eigenvalue": -18.25,
"target_ratio": 0.97,
"target_value": -17.7025
} | 285 |
9915ff93784d747e82bcd9a73a2399e5 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 3}, {"id": 4}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 3, "target": 4}, {"source": 4, "target": 1}, {"source": 4, "target": 2}]} | {"states": [28063, 28061], "expectation_value": -6.973181372692766, "params": [3.1432, 0.0011, 2.5546, 0.0008, 1.1671, 0.0002, 2.2702, 0.0026000000000000003, 3.1433, 0.0018000000000000002, 1.0187, 0.0033, 2.4202, 0.0094, 3.1384000000000003, 0.0005, 0.9829, 0.0089, 1.1516, 0.0021000000000000003, 3.1449000000000003, 0.00... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.25 * (Z(12) @ Z(0)) + 0.25 * (Z(12) @ Z(9)) + 0.25 * (Z(13) @ Z(1)) + 0.25 * (Z(13) @ Z(10)) + 0.5 * (Z(13) @ Z... | 16 | 15 | 1 | {"smallest_eigenvalues": [-8.749999999999986], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.749999999999977, "smallest_bitstrings": ["001001001100010"], "largest_eigenvalue": 26.250000000000114} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-0.0251969072812812) q[0];
h q[1];
ry(-0.5380823333224228) q[1];
h q[2];
ry(-0.5380823333224228) q[2];
h q[3];
cx q[3], q[1];
ry(0.5380823333224228) q[1];
cx q[3], q[1];
ry(-0.8810269947366784) q[1];
ry(1.3888852652990713) q[3];
h q[4];
cx q[4], q[2];
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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"IIZIIIIIIIIIIIZ",
"IIZIIZIIIIIIIII",
"IZIIIIIIIIIIIZI",
"IZIIZIIIIIIIIII",
"IZZIIIIIIIIIIII",
"ZIIIIIIIIIIIZII",
"... | [
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,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1.5,
1.5,
1.5,
0.75,
0.75,
0.75,
0.75,
0.75,
... | 0.972771 | [
-1.7357936832727832,
-1.0761646666448457,
0.8318258295933451,
1.3888852652990713,
-0.5583266175622739,
-0.9112528734271876,
0.7301946700289301,
-0.2369592768426538,
0.13507114255148295,
0.06045175738101835,
0.5736330844182135,
0.4348793797484596,
-0.5033799150929571,
-0.6485481651535171,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 14 |
6998245398537875737 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3, 7], [0, 3, 4, 5], [1, 5, 7], [1, 2, 5, 6], [0, 1, 2, 4, 6, 7], [1, 2, 3, 4, 5]]} | {"states": [189, 175], "expectation_value": -0.1388164729111507, "params": [0.8007000000000001, -0.0034000000000000002, 0.8022, 0.0008, 0.7962, 0.0039000000000000003, 0.8026000000000001, 0.006900000000000001, 0.8041, 0.0029000000000000002, 0.7994, 0.0055000000000000005, 0.8033, -0.0034000000000000002, 0.806800000000000... | 0.21666666666666667 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.19999999999999998 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.03333333333333333 * (Z(0) @ Z(2)) + 0.03333333333333333 * (Z(0) @ Z(7)) + 0.13333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333334 * (Z(4) @ Z(2)) + 0.03333333333333... | 6 | 8 | 1 | {"smallest_eigenvalues": [-1.533333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.4833333333333332, "smallest_bitstrings": ["01010000"], "largest_eigenvalue": 5.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-5.135582602057772e-08) q[2];
cx q[3], q[2];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[7];
rz(2.561862492604449e-08) q[7];
cx q[3], q[7];
cx q[2], q[7];
cx q[3], q[0];
rz(1.2204412241250852e-08) q[0];
cx q[3], q[0];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZII",
"ZIIIZIII",
"ZIIIIZII",
"IIIIZIIZ",
"IIIIIZIZ",
"ZIIIIIIZ",
"IIIZZIII",
"IIIZIZII",
"ZIIZIIII",
"IIIZIIIZ",
"IIZIZIII",
"IIZIIZII",
"ZIZIIIII",
"IIZIIIIZ",
"IIZZIIII",
"IIIIZIZI",
"IIIIIZZI",
"ZIIIIIZI",
"IIIIIIZZ",
"IIIZIIZI",
"IIZIIIZI",
"IZIIIZII",
"ZZIIIII... | [
0.21666666666666667,
0.16666666666666666,
0.19999999999999998,
0.08333333333333333,
0.03333333333333333,
0.03333333333333333,
0.13333333333333333,
0.08333333333333334,
0.03333333333333333,
0.11666666666666667,
0.13333333333333333,
0.13333333333333333,
0.16666666666666666,
0.083333333333333... | 0.858696 | [
-5.135582602057772e-8,
2.561862492604449e-8,
-6.835839047987414e-8,
1.2204412241250852e-8,
9.966606881568994e-10,
3.858197456100111e-9,
1.158419106995561e-7,
1.2794364248122165e-7,
1.2116717248400008e-7,
-1.5707962849490553,
-1.5707961191926691,
1.5707963730149037,
-1.57079559192981,
1.570... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -1.533333333333333,
"target_ratio": 0.97,
"target_value": -1.487333333333333
} | 378 |
17639781641b88f9ffa836608d3b637d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 5}, {"weight": 13, "source": 1, "target": 2}, {... | {"states": [248, 124], "expectation_value": -24.551370632785012, "params": [[0.0236, -0.0019], [-0.0777, -0.0784]], "bitstrings": ["00000111", "10000011"], "total_optimization_steps": 10, "probabilities": [0.009600265094738162, 0.011019205855657991], "optimization_time": 4.496105194091797} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(0)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(3) @ Z(5)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.0, "smallest_bitstrings": ["10000011"], "largest_eigenvalue": 174.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.00853918573311922) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.00853918573311922) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.00853918573311922) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.00853918573311922) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIIZ",
"IIZIIZII",
"IIZZIIII",
"IIIIZIIZ",
"IIIIZZII",
"IIIZZIII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IZIIZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IIIIZIII",
"IZIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11.5,
15,
22.5,
20.5,
14.5,
22,
5.5,
-1.5
] | 0.974159 | [
-0.00853918573311922,
-1.46907002646597,
0.9850051801492483,
-1.7030247221684855,
-1.4177978208095698,
-1.4428484379449076,
-1.7150907024388522,
1.9780572392671765,
1.482166439868953,
1.6093899059678605
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 39 |
f65df388240a6bafb6d8e4e3b37bcf6e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [56, 44], "expectation_value": -0.6041479282879054, "params": [[0.0781, 0.0757], [-0.0763, -0.0687]], "bitstrings": ["1000111", "1010011"], "total_optimization_steps": 10, "probabilities": [0.010938639946841328, 0.010938639946841333], "optimization_time": 2.886234998703003} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(4) + -0.5 * Z(2) + -1.5 * Z(6) + -0.5 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1000111", "1010011", "0100111", "0110011"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(2.7532081731376037) q[0];
rz(0.5021335439547281) q[0];
rx(0.3126188629060858) q[1];
rz(-0.12394458583901447) q[1];
rx(0.08258886198853632) q[2];
rz(-0.2893009783452398) q[2];
rx(2.8985650222769554) q[3];
rz(0.47722660210837153) q[3];
rx(-2.8865335383741417) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
c... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IZIIIZI",
"IZIIIIZ",
"IIZIZII",
"ZZIIIII",
"ZIZIIII",
"ZIIIZII",
"IZIZIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIZIIII",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1.5,
-0.5,
-0.5,
-1.5,
-0.5
] | 0.974902 | [
2.7532081731376037,
0.4768043004801116,
0.31261886290608576,
-0.13830675618383226,
0.08258886198853632,
-0.4806829037066563,
2.8985650222769554,
0.5468943038080125,
3.3966517688054445,
0.42667847019125166,
0.07043632060439067,
-0.7888121402538777,
0.07867698366803132,
0.8529985987454796,
... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 16 |
59c7bf586b1b6ff0483e10c6bee5d678 | 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": [14, 7], "expectation_value": -3.503123019008292, "params": [[-0.028800000000000003, -0.059300000000000005], [0.0102, 0.0625]], "bitstrings": ["1110001", "1111000"], "total_optimization_steps": 10, "probabilities": [0.011994750007897752, 0.012270961049620556], "optimization_time": 4.0714194774627686} | 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 ... | 16 | 7 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.09852088117442483) q[0];
rz(0.2464321943833836) q[0];
rx(0.013740361534353596) q[1];
rz(0.12256695080273028) q[1];
rx(0.05080481933461604) q[2];
rz(0.549588069015392) q[2];
rx(0.06690848796093422) q[3];
rz(0.38811176682309867) q[3];
rx(0.877826886335347) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"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,
2.25,
2.5,
2.5,
2.5,
-3.25,
-3.75,
-3.5,
-3.25,
-3,
-2.75,
-3
] | 0.972546 | [
0.09852088117442481,
0.29714743619100425,
0.013740361534353596,
0.1099884739568158,
0.050804819334616044,
0.589456889889742,
0.06690848796093424,
0.10021892232913784,
0.8778268863353469,
0.10725033732893174,
0.6196906577153632,
0.08294956462237285,
0.6366887474608689,
0.13202917432697883,
... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 12 |
4700601e722e5f0a0c40acc2968ffc97 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [9, 3], "expectation_value": -6.98539458460684, "params": null, "bitstrings": ["10110", "11100"], "total_optimization_steps": 29, "probabilities": [0.12796174980966527, 0.6649528209913563], "optimization_time": 22.05233883857727} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.75 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 10 | 5 | 4 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "01110"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6706529503752435) q[0];
h q[1];
ry(1.4146339409758935) q[1];
h q[2];
ry(-0.5581047246583587) q[2];
h q[3];
cx q[3], q[0];
ry(0.6706529503752435) q[0];
cx q[3], q[0];
ry(-0.44205081723318096) q[0];
ry(0.9054299760275487) q[3];
rz(-pi) q[4];
ry(-0.0725877717... | 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(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
1.75,
2,
1.75,
2,
2,
-2.75,
-2.75,
-2.75,
-2.5,
-2.25
] | 0.991225 | [
-1.6704548362417395,
-1.341305900750487,
1.4146339409758935,
0.973194262912994,
-1.1162094493167174,
0.6844911620078096,
-0.48532124205514987,
0.5740763702252564,
0.27498873776268346,
-0.23622283509959657,
0.44187762803947833,
-0.4116559642671688,
0.5069271119789323,
-0.18155338475627356,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
c0298473ff578e743a7bebe70d7bc35e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [89, 25], "expectation_value": -2.501350094467755, "params": [0.7374, 0.050300000000000004, 0.7325, 0.0066, -0.0031000000000000003, 0.666, -0.0031000000000000003, 0.0012000000000000001, 0.9099, 0.0035, 0.9106000000000001, 0.0013000000000000002, 0.8512000000000001, 0.0001, 0.8423, 0.0028, 0.0019, 0.6731, 0.00... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(5) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(3) @ Z(4) @ Z(6)) ... | 7 | 7 | 1 | {"smallest_eigenvalues": [-3.75, -3.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.75, "smallest_bitstrings": ["1100110", "0101110"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.381653596326513) q[0];
rz(-1.1527566986494673) q[0];
rx(0.09236593635847296) q[1];
rz(1.013468115485601) q[1];
cx q[1], q[0];
rz(0.33730173307404715) q[0];
cx q[1], q[0];
rx(0.38144026620223603) q[0];
rz(0.06407533935437126) q[0];
rx(0.09236593635847296) 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": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"ZZIIZII",
"IIZZIII",
"ZIIZIII",
"ZIZIIII",
"ZIZZIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.25,
-0.75,
0,
-0.25,
-0.75,
-0.75,
0
] | 0.972467 | [
-0.381653596326513,
-0.8154549655754202,
0.09236593635847296,
1.013468115485601,
0.22169867108911415,
0.4340847686313679,
2.045458072876067,
0.280817696519691,
-0.06357938326517396,
1.2001498857117454,
0.022901920759747618,
1.6472374422907472,
2.094650133142965,
-0.25889317790714383,
-0.... | {
"n_parameters": 29,
"n_qubits": 7,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 32 |
-6852603646515495560 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[10, 6], [8, 5], [1, 2], [11, 6], [2, 4], [11, 5], [3, 7], [1, 9], [8, 11], [8, 7], [4, 5], [0, 10]]} | {"states": [599, 3496], "expectation_value": -0.019759898411312746, "params": [[0.0258], [-0.032]], "bitstrings": ["110110101000", "001001010111"], "total_optimization_steps": 10, "probabilities": [0.00025228661424394705, 0.00025228661424394705], "optimization_time": 23.10458254814148} | 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(11) @ Z(6)) + 0.5 * (Z(11) @ Z(5)) + 0.5 * (Z(11) @ Z(8)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(0) @ Z(10)) + 0.0 * Z(6) + 0.0 * Z(10) + 0.0 * Z(5) + 0.0 * Z(8) ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001001010111", "010110001011", "101001110100", "110110101000", "101101101100", "010010010011"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.7566992898623676) q[1];
cx q[2], q[1];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[8];
rz(0.7566992898623676) q[8];
cx q[5], q[8];
h q[9];
cx q[1], q[9];
rz(0.7566992898623676) q[9];
cx q[1], q[9];
rz(-1.743929... | 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[6], q[10];
rz(x0) q[10];
cx q[6], q[10];
cx q[5], q[8];
rz(x0) q[8];
cx q[5], q[8];
cx q[2], q[... | null | {"circuits": [], "gradients": []} | [
"IZIIIZIIIIII",
"IIIZIIZIIIII",
"IIIIIIIIIZZI",
"ZIIIIZIIIIII",
"ZIIIIIZIIIII",
"ZIIZIIIIIIII",
"IIIIIIZZIIII",
"IIIIIIIZIZII",
"IIIZZIIIIIII",
"IIIIZIIIZIII",
"IIZIIIIIIIZI",
"IZIIIIIIIIIZ",
"IIIIIZIIIIII",
"IZIIIIIIIIII",
"IIIIIIZIIIII",
"IIIZIIIIIIII",
"IIIIIIIIIZII",
"IIIIIIIII... | [
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
] | 0.529671 | [
0.7566992898623676,
-1.7439290819871494e-8,
-0.7524170400059115
] | {
"n_parameters": 3,
"n_qubits": 12,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 102 |
42fc1cab65130010b16c5206f9faaa99 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [5, 7], "expectation_value": -11.805170332703213, "params": [[[0.49450000000000005, -0.1698], [0.4204, 0.1841], [0.3899, -0.1968], [0.4929, 0.16970000000000002], [0.49200000000000005, 0.1706], [0.8024, 0.0018000000000000002], [0.7871, 0.0022], [0.7945, 0.0023]], [[0.49860000000000004, 0.0028], [0.4197, 0.003... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 1 | 8 | 2 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.020585712478965273) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.020585712478965273) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.020585712478965273) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.020585712478965273) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] 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,
2.75,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
2.75,
-7.25,
-7,
-7.5,
-7,
-7,
-6.25,
-6.5,
-6.5
] | 0.972491 | [
0.020585712478965273,
-0.10740732213659304,
0.9806179744216011,
1.2066222500302057,
0.807373465491872,
-0.7383480177614887,
-0.583309434460934,
1.229770317245662,
0.029731332749984192,
-0.4028832613860345,
-0.11890009039048421,
0.19530480659012922,
0.3300174811368061,
-0.05473954150926055,... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 85 |
6d259388045d20d69ae4242ad2e143d7 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [1, 9], "expectation_value": -0.7144612209010861, "params": [[0.0648, 0.062, 0.0707], [-0.07010000000000001, -0.058300000000000005, -0.062]], "bitstrings": ["11110", "10110"], "total_optimization_steps": 10, "probabilities": [0.04970437204935627, 0.055848808557121585], "optimization_time": 2.522399425506592} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 0.25 * Z(1) + 0.5 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["10110"], "largest_eigenvalue": 4.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.2266707306631195) q[0];
h q[1];
ry(1.0272541345090267) q[1];
ry(-0.5861463410328833) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.6625309996307737) q[3];
h q[4];
cx q[4], q[0];
ry(0.2266707306631195) q[0];
cx q[4], q[0];
ry(-1.161710436049223) q[0];
ry(1.320414490855... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIZIZ",
"IZZII",
"IZIIZ",
"IIZZI",
"IZIZI",
"ZIIIZ",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
1.25,
-0.75,
-1,
-0.25,
0.5,
0.25,
0.5
] | 0.974474 | [
-0.453341461326239,
1.3204144908550612,
-1.0707147283862435,
2.0545082690180534,
0.03783762275645283,
-1.3250619992615473,
-0.18199141532595858,
-1.1961211419101938,
-0.3696846406039731,
-0.5697898662685712,
0.6076384529352682,
-0.454147025534971,
-0.17281825067926812,
-1.0626170488715485
... | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 17 |
75ab085e7b274158b53b8f08402b62c6 | 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": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "ta... | {"states": [242, 226], "expectation_value": -4.161675802452345, "params": [[[0.5005000000000001, 0.001], [0.4989, 0.0024000000000000002], [0.49970000000000003, 0.002], [0.343, 0.0217], [0.00030000000000000003, 0.23720000000000002], [0.0005, -0.268], [0.44480000000000003, -0.006], [0.0002, -0.26580000000000004]], [[0.50... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.5 * Z(7) + -1.0 * Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["00011101", "00001111"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(2.0837694990071824) q[0];
ry(2.8061856532979497) q[0];
rz(-1.0159828865908027) q[0];
rz(0.7899785451573393) q[1];
ry(3.107141316094266) q[1];
rz(-2.5221533982235935) q[1];
rz(-2.037512478806324) q[2];
ry(2.86597590247903) q[2];
rz(1.17414768555681) q[2];
rz(1.9394973... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIZIIIZI",
"ZIIZIIII",
"ZIZIIIII",
"ZIIIIIZI",
"IIIZIZII",
"IIZIIZII",
"ZIIIIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1.5,
-0.5,
-1.5,
-1,
-1,
0
] | 0.977624 | [
0.6048197617984212,
0.07219829101387773,
1.0321820916687574,
0.038607075334667104,
0.4188968315390892,
0.06693862518811297,
0.05037983042546392,
0.23595442645139314,
-0.03162603514300882,
0.007164279549533054,
0.06522036325959468,
0.1906992480117555,
0.5379780086190539,
0.08463453538134953... | {
"n_parameters": 54,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 14 |
9aafe0580999b1b0b4b8e8eda0d2bc18 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": ... | {"states": [184, 185], "expectation_value": -2.69200022595309, "params": [1.4684000000000001, 0.444, 0.049100000000000005, 0.8878, 1.3993, -0.0, 1.584, -0.003, 1.5987, -0.41600000000000004, 0.4179, -0.6923, 0.0034000000000000002, -0.20950000000000002, 0.8280000000000001, 0.015000000000000001, 1.395, 0.00520000000000000... | 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(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + -0.125 * (Z(0) @ Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(... | 18 | 8 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.375, "smallest_bitstrings": ["10000011", "00101010", "01000110"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.008488357935385014) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.008488357935385014) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.008488357935385014) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.008488357935385014) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIIZIIZ",
"IIZZIIII",
"IIIZZIII",
"IIZIZIII",
"IIZZIIIZ",
"IIIZZIIZ",
"IIZIZIIZ",
"IIZZZIII",
"IIZZZIIZ",
"IZIIZIII",
"IIIZIIZI",
"ZIIIIIZI",
"ZIIZIIII",
"ZIIZIIZI",
"IIZIIZII",
"ZIIIIZII",
"ZIZIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0,
0,
0.125,
0.125,
-0.125,
-1,
0
] | 0.975971 | [
-0.008488357935385014,
1.2282148178064172,
-0.8433163024275433,
1.9725853102242956,
0.7728853189660121,
1.8680963585552939,
1.0323223109501083,
-1.0872816684056126,
-1.4919523916296222,
-1.1032332760214447,
0.051606515557825625,
0.9174931232599342,
-0.7487650083959976,
-0.9471809696574603,... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -69.5,
"target_ratio": 0.97,
"target_value": -67.41499999999999
} | 87 |
bd53e0f03f0d19af6cb39bf47cf396d2 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [8, 61], "expectation_value": -6.899122358165835, "params": [0.0043, -1.4025, -0.2607, 0.00030000000000000003, -0.17900000000000002, 2.7118, 0.0358, 0.0046, 0.6219, 3.0925000000000002, 0.7713, 0.0012000000000000001, 0.8417, -0.08700000000000001, 1.7485000000000002, 0.004, -0.2511, 0.6388, 0.0557, 0.0049, -0.... | -0.75 * (Z(0) @ Z(5)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(3) @ Z(5)) + -2.5 * Z(5) + -0.25 * Z(0) + -0.75 * Z(6) + 1.5 * Z(1) + -0.25 * Z(4) + 1.25 * Z(2) + 1.0 * Z(3) | 6 | 7 | 1 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["1001010", "1000010"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.7043656534273358) q[0];
h q[1];
ry(1.535989113406412) q[1];
h q[2];
ry(0.7877722373943765) q[2];
h q[3];
h q[4];
ry(0.7877722373943765) q[4];
cx q[1], q[4];
ry(-0.7877722373943765) q[4];
cx q[1], q[4];
cx q[1], q[0];
cx q[4], q[2];
ry(0.7043656534273358) 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": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IIZIIZI",
"IZIIZII",
"ZIIIZII",
"IIZIZII",
"IZIZIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIZIIII",
"IIIIZII",
"IIIZIII"
] | [
-0.75,
1,
-0.5,
-1.5,
-0.75,
-1.25,
-0.75,
-1,
-2.5,
-0.25,
-0.75,
1.5,
-0.25,
1.25,
1
] | 0.998945 | [
-1.629771341725018,
1.535989113406412,
1.575544474788753,
-1.4087313068546716,
-0.1237302936379537,
-0.020395894215535604
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 1 |
9c3f86affe867d86b1a933450f0ead98 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [32, 1], "expectation_value": -18.796457195105354, "params": [[0.0269, -0.0264, -0.033800000000000004, -0.0143], [-0.054, 0.020800000000000003, 0.0621, 0.0673]], "bitstrings": ["011111", "111110"], "total_optimization_steps": 10, "probabilities": [0.029737282921290766, 0.032543880821060786], "optimization_ti... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 14 | 6 | 4 | {"smallest_eigenvalues": [-40.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.25, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 119.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.08159444532943627) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.08159444532943627) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.08159444532943627) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.08159444532943627) 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": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
3,
-13,
-13,
-13.25,
-13,
-13,
-12.25
] | 0.972546 | [
0.08159444532943627,
0.316411072313747,
1.4274685730664627,
1.5697177918156073,
0.6556767612910719,
0.5389446975291273,
-0.02784567768025009,
-0.5301187784688065,
0.4226894690015448,
0.20765044488818968,
-0.5369605142119381,
0.8276321080557579,
-0.20067121769985835,
0.021804244236934816,
... | {
"n_parameters": 18,
"n_qubits": 6,
"optimal_eigenvalue": -40.25,
"target_ratio": 0.97,
"target_value": -39.0425
} | 59 |
e0dccd63ccb6f94570f2b46361c692e0 | max_flow | 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": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "s... | {"states": [3957, 6005], "expectation_value": -14.268782650454447, "params": [0.0071, -0.0018000000000000002, 0.0038, 0.0015, 0.7929, 0.7912, 0.9441, 0.8799, 1.3933, 1.3959000000000001, 1.3932, 1.3928, 1.3905, 1.3877000000000002, 0.007, -0.0027, 1.3975, 1.3933, 1.3924, 1.3909, 1.4011, 1.3923, 0.7792, 0.8512000000000001... | -0.5 * (Z(13) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(13)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(13)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(13)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(0) @ Z(6)) + -0.5 * (Z(1) @ Z(6)) + 0.... | 14 | 15 | 1 | {"smallest_eigenvalues": [-15.749999999999924], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.749999999999842, "smallest_bitstrings": ["110100010001010"], "largest_eigenvalue": 37.25000000000015} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(0.05839614278337155) q[0];
rz(pi/2) q[0];
ry(0.007699594208596339) q[1];
ry(0.6368929387613436) q[2];
ry(-0.305948830476148) q[3];
ry(0.8279255936715874) q[4];
ry(0.6687371386581469) q[5];
ry(0.6083275044008217) q[6];
ry(-0.030249047403171775) q[7];
ry(0.73392389059... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IZIIIIIIIIIIZII",
"IIIIIIIIIIIZZII",
"IZIIIIIIIIIZIII",
"IIIIIIIIIIZIZII",
"IZIIIIIIIIZIIII",
"IIIIIIIIIIZZIII",
"IIIIIIIIIZIIZII",
"IZIIIIIIIZIIIII",
"IIIIIIIIIZIZIII",
"IIIIIIIIIZZIIII",
"IIIIIIIIZIZIIII",
"IIIIIIIIZZIIIII",
"IIIIIIIIZIIIIIZ",
"IIIIIIIIZIIIIZI",
"IIIIIIIIIIIIIZZ",
"... | [
-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,
0.25,
-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,
... | 0.970135 | [
0.05839614278337155,
0.007699594208596339,
0.6368929387613436,
-0.305948830476148,
0.8279255936715874,
0.6687371386581469,
0.6083275044008217,
-0.030249047403171775,
0.7339238905999639,
0.40545979371793645,
0.47414350168779645,
1.0184967181303088,
-0.11619730788514432,
0.1838879214229425,
... | {
"n_parameters": 168,
"n_qubits": 15,
"optimal_eigenvalue": -15.749999999999945,
"target_ratio": 0.97,
"target_value": -15.277499999999947
} | 37 |
58fa04385078dcdc0b5f9361c481400a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [4, 5], "expectation_value": -2.451899411808751, "params": [0.1874, -0.29760000000000003, 0.1819, 0.0077, 0.1888, 0.467, 0.17930000000000001, 0.006200000000000001, 0.7889, 0.10540000000000001, 0.7899, 0.0068000000000000005, -0.010400000000000001, 0.466, -0.0074, 0.0006000000000000001, 0.7908000000000001, 0.0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(1) | 5 | 5 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["11010", "00111"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.47101618974758475) q[0];
rz(-0.16827364835461855) q[0];
rx(0.48551343822356186) q[1];
rz(0.17804732572877252) q[1];
rx(0.32539434813691376) q[2];
rz(0.5457656730524693) q[2];
rx(-0.21683998807139754) q[3];
rz(0.30031640895019224) q[3];
rx(1.2220557292476708) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIZ",
"IZZII",
"IZIIZ",
"ZIIIZ",
"ZZIII",
"IIZZI",
"IZIZI",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"ZIIII",
"IIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1,
-1
] | 0.971822 | [
0.4710161897475848,
-0.09099105680982872,
0.48551343822356186,
0.17804732572877252,
0.32539434813691376,
0.5457656730524693,
-0.21683998807139754,
0.30031640895019224,
1.2220557292476708,
0.00816620436411572,
0.6463337616946943,
0.03026562494828463,
0.5393888844458095,
-0.2593316846640103,... | {
"n_parameters": 71,
"n_qubits": 8,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 45 |
532d7b9840f324faf47e567c6a0fdd6f | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [0, 7], "expectation_value": -1.9254354767081663, "params": [[0.06770000000000001], [-0.0716]], "bitstrings": ["11111111", "11111000"], "total_optimization_steps": 10, "probabilities": [0.006355757021091113, 0.006701011043042514], "optimization_time": 1.7335247993469238} | -2.5 * (Z(0) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(0)) + -3.0 * (Z(1) @ Z(3)) + 1.5 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(4)) + -2.5 * (Z(2) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + -1.5 * Z(3) + -2.0 * Z(0) ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-1.5707977335680394) q[0];
ry(-0.013502097976412934) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5707977335680394) q[2];
rz(-pi) q[3];
ry(-4.219105240513308e-06) q[3];
ry(-1.4827129329316227e-05) q[4];
rz(-pi) q[4];
h q[5];
ry(0.7853975177179691) q[5];
h q[6];
h q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(x0) q[0];
cx q[3],... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IIIIZIZI",
"IIIIIIZZ",
"IIIZIIZI",
"IIIIZZII",
"IIIIIZIZ",
"IIIZIZII",
"IIIIIZZI",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-2.5,
1,
-3,
-3,
1.5,
-3,
0.5,
0.5,
-2,
-2.5,
-1.5,
0.5,
-1.5,
-1.5,
-2,
1.5,
-2.5,
1,
0.5,
0.5,
0.5
] | 0.9625 | [
-1.5707977335680394,
-1.5707941200048936,
-1.5707799134645657,
-0.00001285179048671854,
0.0000018395551598433803,
1.5707950354359381,
2.4725657086000994,
1.2309349690645535,
-0.0000031724020034693597,
0.38504468633579836,
-0.3850548391687979,
0.000003773593329815815,
-0.5169980183123583,
-... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 500 |
69144809aea48cb46eae9c3950f24a15 | graph_isomorphism | vqe | {"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": [24187, 56955], "expectation_value": -17.201701359820454, "params": [0.5961000000000001, 0.1884, 1.0642, 0.1422, 0.48090000000000005, 0.29760000000000003, 1.071, 0.0092, 1.0651000000000002, -0.0067, 0.9895, 0.0077, 1.0794000000000001, -0.13340000000000002, 0.47940000000000005, -0.31070000000000003, 0.4795000... | 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(... | 18 | 16 | 3 | {"smallest_eigenvalues": [-20.49999999999982], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.49999999999978, "smallest_bitstrings": ["0010000110000100"], "largest_eigenvalue": 69.50000000000009} | 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] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 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 |
5144181ac27497fdfa9bdb5b8b799630 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}]} | {"states": [371, 427], "expectation_value": -0.7310900054397016, "params": [[0.0811, 0.0731], [-0.08660000000000001, -0.0673]], "bitstrings": ["010001100", "001010100"], "total_optimization_steps": 10, "probabilities": [0.0029767506639259344, 0.0029767506639259344], "optimization_time": 6.474992513656616} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -3.5, "smallest_bitstrings": ["001010100", "001100010", "001001010", "001001100", "010001100", "010010100", "010010001", "010100001", "100100001", "100001010",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[2] q;
h q[0];
ry(-1.5486225528998339) q[0];
h q[1];
ry(-1.5451929801415893) q[1];
| 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[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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIZIIIIIZ",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIZIIZIII",
"IZIIZIIII",
"IIIIZZIII",
"ZIIZIIIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.75,
0.75,
0.75,
1,
1,
1,
0.75,
0.75,
0.75
] | 0.999809 | [
-1.5486225528998339,
-1.5451929801415893
] | {
"n_parameters": 2,
"n_qubits": 2,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 1 |
766c35a5ddcb7d0c8cbb8c2fcffb16b1 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [881, 849], "expectation_value": -55.21543880070028, "params": [0.6562, 0.17700000000000002, 1.0024, 0.044500000000000005, 1.0014, 0.011600000000000001, 0.7747, 0.1258, 1.0038, 0.0337, 0.7875000000000001, 0.1928, 1.0077, 0.018000000000000002, 0.0013000000000000002, 0.6646000000000001, -0.0028, -0.48900000000... | 8.0 * (Z(0) @ Z(2)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(1) @ Z(3)) + 8.0 * (Z(4) @ Z(2)) + 8.0 * (Z(4) @ Z(0)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(8) @ Z(6)) + 8.0 * (Z(10) @ Z(5)) + 8.0 * (Z(9) @ Z(10)) + 22.5 * Z(2) + 1.0 * Z(0) + 2.5 * Z(3) + 10.0 * Z(1) + 16.0 * Z(4) + 3.5 * Z(... | 16 | 11 | 2 | {"smallest_eigenvalues": [-133.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -118.0, "smallest_bitstrings": ["10010101110"], "largest_eigenvalue": 146.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.12159574163038057) q[0];
rz(0.2618591853861183) q[0];
rx(1.349805866990207) q[1];
rz(0.04329187342028554) q[1];
cx q[1], q[0];
rz(-0.06325359106633659) q[0];
cx q[1], q[0];
rx(0.1509219348747902) q[0];
rz(-0.17671499561136317) q[0];
rz(0.02558692976933681) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIZIZII",
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIZZIIIIII",
"IIZIZIIIIII",
"ZIIIIZIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIIIIZI",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIIZIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
22.5,
1,
2.5,
10,
16,
3.5,
9.5,
-6,
-5.5,
7.5,
-7
] | 0.972356 | [
-0.12159574163038057,
0.19860559431978073,
1.349805866990207,
0.04329187342028554,
1.604143708416419,
-0.2484373955262606,
0.27083334240223617,
0.32322079637597534,
1.058043807994639,
0.03568034483062198,
0.4174376867467814,
-0.16025886438681536,
1.3269610615308163,
-0.1652592891113317,
... | {
"n_parameters": 60,
"n_qubits": 11,
"optimal_eigenvalue": -133,
"target_ratio": 0.97,
"target_value": -129.01
} | 33 |
944d1e10c1efdd3cf89f3eb5fd93918c | connected_components | 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": 2, "target": 3}, {"source": 4, "target": 5}]} | {"states": [0, 3], "expectation_value": -3.535171769735267, "params": [[[0.0021000000000000003, 0.0016], [0.0024000000000000002, 0.0023], [0.002, 0.0018000000000000002], [0.0024000000000000002, 0.0024000000000000002], [0.002, 1.606]]], "bitstrings": ["11111", "11100"], "total_optimization_steps": 160, "probabilities": ... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * Z(1) + 1.0 * Z(0) + -1.0 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) | 15 | 5 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["11100", "00100"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(-0.02677676912273383) q[0];
rz(1.7791030721526582) q[0];
rx(0.14185500204046736) q[1];
rz(2.5051147100231335) q[1];
rx(0.20184054179175628) q[2];
rz(2.4106890750013985) q[2];
rx(-0.9808682906550414) q[3];
rz(1.5743759524828) q[3];
rx(-0.35098050451486523) 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;
bit[5] c;
qubit[5] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x1) q[3];
ry(x2) q[4];
cx q[4], q[0];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
-1.5,
0.5,
-1,
-1.5,
1,
-1,
0.5,
0.5
] | 0.97098 | [
-0.02677676912273383,
0.20830674535776214,
0.1418550020404674,
0.9343183832282367,
0.20184054179175626,
0.8398927482065018,
-0.9808682906550414,
0.0035796256879041567,
-0.35098050451486523,
0.21567347580531265,
1.2543159242063746,
-0.07935135923841413,
0.2010068271577604,
0.293429892568229... | {
"n_parameters": 75,
"n_qubits": 5,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 10 |
3d599008e6d247101eb02503201a8a05 | 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": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [44, 76], "expectation_value": -8.195912360417871, "params": [-0.0005, 0.5277000000000001, -0.0011, 0.5232, -0.004, 0.4877, -0.0044, 0.4737, -0.0028, 0.4309, 0.6726000000000001, 0.3649, 0.6824, 0.4212, 0.0123, 0.5769000000000001, 0.6859000000000001, 0.0388, 0.7017, 0.1885, -0.0044, 0.453, 0.1744, 0.341, -0.0... | 0.5 * (Z(5) @ Z(9)) + 2.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(5)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(10)) + -0.5 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(10)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -2.0 * (Z(3) @ Z(10)) + -0.5 * (Z(3) @ Z(6)) +... | 18 | 12 | 4 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 37, "first_excited_energy": -8.5, "sm... | 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] 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": 4} | {"circuits": [], "gradients": []} | [
"IIZIIIZIIIII",
"IZZIIIIIIIII",
"IZIIIIZIIIII",
"IIZIIZIIIIII",
"IIIIIZZIIIII",
"IZIIIZIIIIII",
"IIZIIIIIIZII",
"IIIIIIZIIZII",
"IZIIIIIIIZII",
"IIIIIZIIIZII",
"IIZIIIIIZIII",
"IIIIIIZIZIII",
"IZIIIIIIZIII",
"IIIIIZIIZIII",
"IIIIIIIIZZII",
"IIZIIIIZIIII",
"IIIIIIZZIIII",
"IZIIIIIZI... | [
0.5,
2,
1,
0.5,
1,
1,
-0.5,
-1,
-1,
-1,
-1,
-0.5,
-2,
-0.5,
0.5,
-1,
-0.5,
-2,
-0.5,
0.5,
1,
-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,
1,
-0.5,
-0.5,
-0.5,
1.5,
2,
3,
2,
-2,
... | 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 |
f6cdf6caae833c575489bb2b7a623058 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 4}, {"weight": 15, "source": 0, "target": 3}, {"weight": 18, "source": 1, "target": 2}, {... | {"states": [186, 118], "expectation_value": -9.357619660228162, "params": [[0.0427, 0.0057], [-0.041600000000000005, -0.0246]], "bitstrings": ["01000101", "10001001"], "total_optimization_steps": 10, "probabilities": [0.006855895333943625, 0.007579834957366403], "optimization_time": 3.0713255405426025} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(6)) + 15.5 * Z(1) + 8.5 * Z(0) + 16.0 * ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 140.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.124759052725892) q[0];
rz(-pi) q[0];
ry(-3.0854626450991742) q[1];
rz(-pi) q[1];
ry(-0.03369902748015139) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4369841717910352) q[3];
ry(-0.03369902748015139) q[4];
rz(-pi) q[4];
h q[5];
ry(1.504625431852586) q[5];
cx q[5], q[0];
ry(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIZII",
"IZIZIIII",
"ZIIIIZII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
15.5,
8.5,
16,
13,
11.5,
6,
15.5,
2.5
] | 0.995276 | [
-1.5205674065543304,
-1.4762215588150907,
1.504625431852586,
1.4369841717910352,
-0.10005583704498788,
0.23395710827992075,
0.2788948906500424,
0.02008177290338363,
0.0009735704753418978,
-0.03305978552082959,
-0.11837486768070965
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
645c877d51dbe410a2500a8efdc21844 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 4}, {"weight": 12, "source": 1, "target": 7}, {"weight":... | {"states": [504, 472], "expectation_value": -75.45235998055672, "params": [0.2112, 0.28900000000000003, 0.6898000000000001, 0.039400000000000004, 0.6414000000000001, -0.0045000000000000005, 0.6981, -0.003, 0.4151, 0.248, 0.6891, 0.049600000000000005, 0.6996, -0.0281, 0.2792, -0.29450000000000004, 0.09680000000000001, 0... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(9) @ Z(3)) + 12.5 * Z(1) + 8.5 * Z(0) + 11.5 * Z(2) + 12.0 * Z(3) + 1... | 4 | 10 | 4 | {"smallest_eigenvalues": [-88.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.0, "smallest_bitstrings": ["1000100111"], "largest_eigenvalue": 141.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.20900895344121662) q[0];
rz(1.6591433503012762) q[0];
rx(0.7538779247326431) q[1];
rz(1.5396203505667074) q[1];
rx(0.413919355239131) q[2];
rz(1.9987591927860757) q[2];
rx(0.6126571953192625) q[3];
rz(1.5253248086506286) q[3];
rx(0.17161341309099423) q[4];
rz(1.89... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIZIIIZI",
"IIIIZZIIII",
"IIIZIZIIII",
"IIZIIIIIZI",
"IIZIZIIIII",
"IZIIIIIZII",
"IZIZIIIIII",
"ZIIIIIZIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIZIIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
12.5,
8.5,
11.5,
12,
14.5,
5,
9,
3.5,
2,
-3.5
] | 0.970201 | [
0.20900895344121662,
0.08834702350637987,
0.7538779247326433,
-0.031175976228189205,
0.4139193552391309,
0.4279628659911789,
0.6126571953192624,
-0.04547151814426744,
0.17161341309099426,
0.32776669653513696,
0.877775362601984,
0.1365955535893612,
0.547257952006161,
0.03440930277325681,
... | {
"n_parameters": 114,
"n_qubits": 10,
"optimal_eigenvalue": -88,
"target_ratio": 0.97,
"target_value": -85.36
} | 13 |
43f6f12625919298bc93daa468843deb | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "... | {"states": [0, 1919], "expectation_value": -13.12839887942707, "params": [-0.0337, 1.0756000000000001, -0.6679, 0.002, -0.605, 0.6376000000000001, 0.6715, 0.0039000000000000003, -0.8739, 0.6952, 0.7676000000000001, 0.002, -0.9209, 1.2176, -0.49050000000000005, 0.0049, 0.0019, -1.244, -0.0017000000000000001, 0.008, 0.95... | -1.5 * (Z(0) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(10)) + -2.0 * (Z(11) @ Z(10)) + -1.5 * (Z(11) @ Z(8)) + -2.0 * (Z(9) @ Z(10)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(11)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(1)) + -1.0 * Z(4) + 1.0 ... | 6 | 12 | 1 | {"smallest_eigenvalues": [-20.0, -20.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -19.0, "smallest_bitstrings": ["100010000000", "000000000000"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.2095230304570078) q[0];
rz(2.396995580975293) q[0];
rx(-2.311053315143983) q[1];
rz(1.5571613931385144) q[1];
rx(-2.6316736256326108) q[2];
rz(1.6384860588842933) q[2];
rx(-0.915310896141876) q[3];
rz(-1.651894697918439) q[3];
rx(-0.007582957260327583) q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZ",
"IIIIIZZIIIII",
"IIIIZZIIIIII",
"IIIIZIZIIIII",
"IZIZIIIIIIII",
"ZZIIIIIIIIII",
"ZIIZIIIIIIII",
"IZZIIIIIIIII",
"IIZZIIIIIIII",
"ZIZIIIIIIIII",
"IIIIIIIIIZZI",
"IIIIIIIIZZII",
"IIIIIIIIZIZI",
"IIIIIIIZIIII",
"IIIIIIIIIIIZ",
"IIIIIZIIIIII",
"IIIIIIZIIIII",
"IIIIZIIII... | [
-1.5,
-1.5,
-1.5,
-1.5,
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-1.5,
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
] | 0.973738 | [
0.2095230304570078,
0.8261992541803967,
-2.311053315143983,
-0.013634933656383083,
-2.6316736256326108,
0.06768973208939782,
-0.9153108961418762,
3.0604942824662507,
-0.007582957260327583,
-2.1309890864591625,
3.203142469918356,
1.5086519221061563,
-0.040035176274935365,
1.9777872952629079... | {
"n_parameters": 58,
"n_qubits": 12,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 469 |
91fd701868951eab612ba86420778b2e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [42, 11], "expectation_value": -0.8977510688979298, "params": [[0.0694, 0.0736, 0.0711], [-0.064, -0.0637, -0.055400000000000005]], "bitstrings": ["010101", "110100"], "total_optimization_steps": 10, "probabilities": [0.024010811188465517, 0.024010811188465545], "optimization_time": 4.501471757888794} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["010101", "110100", "110001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.6046606131929824) q[0];
rz(-pi) q[0];
ry(-0.2754248126532229) q[1];
rz(-pi) q[1];
ry(-1.397078670391102) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.7131691907790075) q[3];
cx q[3], q[2];
ry(0.10320605458857647) q[2];
cx q[3], q[2];
ry(-0.09157489833333138) q[3];
ry(-0.4233... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"IZIIZI",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-1,
-1,
0,
0
] | 0.970876 | [
-0.7131691907790075,
-0.6029729944224574,
-0.9519977999790217,
-0.0705116018152183,
-0.6867474283253041,
-0.7263254383589139,
-0.20641210917715294,
-0.18314979666666276,
1.246074321202835,
-0.16302890953712407,
0.9836842123631419,
-0.8467113254691783,
-0.29282426768644043,
0.51295746069054... | {
"n_parameters": 35,
"n_qubits": 6,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 32 |
112160283520561585 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4], [1, 3], [0, 1], [2, 5], [1, 4], [4, 7], [1, 5], [3, 4], [1, 6]]} | {"states": [158, 142], "expectation_value": -3.1555730941399727, "params": null, "bitstrings": ["01100001", "01110001"], "total_optimization_steps": 67, "probabilities": [0.30849662657025556, 0.5186412448374778], "optimization_time": 100.93244791030884} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(7) + 0.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["01110001", "10011110", "10001110", "01100001"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.6061527860087662) q[0];
h q[1];
ry(-0.16419195240706697) q[1];
h q[2];
ry(-0.16419195240706697) q[2];
h q[3];
ry(-0.17963116902297144) q[3];
h q[4];
ry(0.7157650679017911) q[4];
h q[5];
cx q[5], q[2];
ry(0.16419195240706697) q[2];
cx q[5], q[2];
ry(-0.51683... | 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[6], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIZIZII",
"IIIZIIZI",
"IIIZZIII",
"IIIIZIZI",
"IIIIIIZZ",
"IIZIIZII",
"IIZIIIZI",
"ZIIZIIII",
"IZIIIIZI",
"IIIZIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
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
] | 0.97327 | [
-0.32838390481413393,
1.5731283198220567,
1.4315301358035821,
-1.033672635131536,
-0.7789049593380695,
-1.2555791131114389,
1.3599795707339823,
1.2123055720175324,
-0.3565616655302983,
0.3663026034306666,
0.45512112481213596,
0.29978191366113793,
-0.14816070092773204,
-0.3592623380459429,
... | {
"n_parameters": 53,
"n_qubits": 8,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 16 |
-4597414873171686273 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 11, 4], [1, 11, 7], [8, 9, 11], [9, 2], [8, 0, 2], [1, 11, 9], [5, 7], [0, 1, 6], [8, 1, 6], [0, 5, 6], [8, 0, 6], [9, 5], [0, 10], [0, 4], [11, 3, 6], [4, 6], [0, 11], [6, 7], [10, 5], [8, 1, 0], [0, 3, 7], [8, 3], [2, 11, 7], [8, 11, 7], [0, 1, 2], ... | {"states": [3578, 1530], "expectation_value": -4.221853497137907, "params": [[[1.6031, 0.0054, 0.0095, 0.0046], [0.41600000000000004, 0.0038, 1.4914, 0.0013000000000000002], [-0.0022, 0.0027, 0.0073, 0.0056], [0.652, 0.0026000000000000003, 1.2453, 0.0013000000000000002], [1.6031, 0.0002, 0.0051, 0.0001], [0.37670000000... | 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.3333333333333333 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(4)) + 0.5 * (Z(9) @ Z(3)) + 0.16666666666666666 * (Z(9) @ Z(4)) + 0.16666666666666666 * (Z(9) @ Z(1)) + 0.3333333333333333 * (Z(10) @ Z(3)) + 0.1666666666... | 12 | 12 | 1 | {"smallest_eigenvalues": [-8.000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["101000000101"], "largest_eigenvalue": 30.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(3.3142866214585927) q[0];
rz(1.374966298778012) q[0];
ry(0.981275282411898) q[1];
rz(0.3515397443926463) q[1];
cz q[1], q[0];
ry(-2.415111386616931) q[1];
ry(-0.05105624188758631) q[2];
rz(0.09924347380888604) q[2];
ry(0.09008023056484576) q[3];
rz(0.398467097808020... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZIII",
"IIIIIZIIZIII",
"IIIIIZIZIIII",
"IIIIIIIIZIZI",
"IIIIIIIZIIZI",
"IIZIIIIIZIII",
"IIZIIIIZIIII",
"IIZIIIIIIIZI",
"IZIIIIIIZIII",
"IZIIIIIZIIII",
"IZIIIIIIIIZI",
"IZZIIIIIIIII",
"ZIIIIIIIZIII",
"ZIIIIIIZIIII",
"ZIIIIZIIIIII",
"ZIIIIIIIIIZI",
"ZZIIIIIIIIII",
"IIIIIIIIZ... | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.5,
0.5,
0.3333333333333333,
0.3333333333333333,
0.5,
0.33... | 0.972509 | [
3.3142866214585927,
1.374966298778012,
0.981275282411898,
0.3515397443926463,
-0.05105624188758631,
0.09924347380888604,
0.09008023056484576,
0.39846709780802075,
-0.3960944484439028,
0.11849561914853188,
0.9700546758208785,
0.2314798288216532,
-0.33668682580574616,
0.2527442162418015,
-... | {
"n_parameters": 33,
"n_qubits": 12,
"optimal_eigenvalue": -8.000000000000004,
"target_ratio": 0.97,
"target_value": -7.760000000000003
} | 59 |
edc3bac605c0e8fb4f027513dd92e8fb | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target"... | {"states": [0, 1], "expectation_value": -20.07180914503205, "params": [[[-0.004200000000000001, -0.38870000000000005], [0.0001, -0.3428], [-0.0037, -0.45420000000000005], [-0.0036000000000000003, 0.40190000000000003], [0.8102, -0.002]], [[-0.0026000000000000003, 0.0037], [0.0027, 0.0014], [-0.0032, 0.0047], [-0.0023, 0... | 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)) + -8.5 * Z(1) + -8.25 * Z(0) + -8.5 * Z(2) + -8.25 * Z(3) + -8.0 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 64.5} | 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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
-8.5,
-8.25,
-8.5,
-8.25,
-8
] | 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 |
f38c42dfc6453bed5781ab1b40aa6ac4 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target":... | {"states": [256, 320], "expectation_value": -11.527484673090592, "params": [-0.0018000000000000002, -0.36210000000000003, -0.0008, -0.36560000000000004, -0.0031000000000000003, -0.3662, -0.0001, -0.35800000000000004, 0.5015000000000001, 0.061000000000000006, 0.4974, 0.0028, -0.0013000000000000002, -0.32830000000000004,... | -0.75 * (Z(0) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(5)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(9)) + -0.5 * (Z(6) @ Z(1)) + -1.25 * (Z(7) @ Z(5)) + -0.75 * (Z(7) @ Z(1)) + -0.5 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ Z(1)) + -0.75 * (Z(8)... | 5 | 11 | 2 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["11010111111", "11010111110"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.10189947250184399) q[0];
rz(-0.4573033259603472) q[0];
rx(-0.04284707509515287) q[1];
rz(-0.34891053977276165) q[1];
rx(0.753205954422958) q[2];
rz(-0.05440141647995711) q[2];
rx(0.02381767542566081) q[3];
rz(-0.210027236411082) q[3];
rx(0.6559379095554718) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input floa... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIIIZIIIIZ",
"IZIIIIIIIIZ",
"IZIIIZIIIII",
"IIIIIIIZIZI",
"IIIIZZIIIII",
"IZIIZIIIIII",
"IIIIZIIIIZI",
"IIIZIZIIIII",
"IIIZIIIIIZI",
"IIZIIIIZIII",
"IZZIIIIIIII",
"IIZIIIIIIZI",
"IIZIZIIIIII",
"IIIIIIIZZII",
"IIIIIIIIZIZ",
"IZIIIIZIIII",
"IIIIIIZIZII",
"ZIIIIZIII... | [
-0.75,
-0.5,
-0.75,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-1.25,
-0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.75,
2.25,
-0.75,
-0.25,
-0.25,
0.25,
-0.25,
-0.5,
-0.75,
1.25,
-2,
-0.5,
0,
1.25,
1,
0.25
] | 0.973954 | [
0.10189947250184397,
-0.43326605637549775,
-0.04284707509515288,
-0.42486261874783005,
0.7532059544229581,
0.018318752757188493,
0.02381767542566081,
-0.25229870307894514,
0.6559379095554718,
-0.1918781976598487,
-0.13838716697895026,
-0.23990009206868296,
-0.12270558177446064,
-0.52071074... | {
"n_parameters": 101,
"n_qubits": 11,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 8 |
70b6be38b1b67e5f49037d70330e01f2 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [0, 2023], "expectation_value": -17.01127597517454, "params": [0.010100000000000001, 1.3397000000000001, -0.043000000000000003, 0.7121000000000001, -0.0478, 1.8005, 0.0453, 0.9862000000000001, 0.5541, 1.6176000000000001, -0.2768, 2.2014, -0.7308, 0.9315, 0.0979, 0.2847, -0.6970000000000001, 0.8625, -0.019700... | -2.0 * (Z(0) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(0)) + -2.0 * (Z(1) @ Z(4)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + -2.0 * (Z(3) @ Z(9)) + -2.0 * (Z(3) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + -2.5 * (Z(10) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + ... | 6 | 11 | 2 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["00000011000"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(0.29077422915650647) q[0];
h q[1];
ry(0.29077422915650647) q[1];
h q[2];
ry(0.29077422915650647) q[2];
h q[3];
ry(0.29077422915650647) q[3];
h q[4];
h q[5];
ry(0.08246923798066687) q[5];
cx q[4], q[5];
ry(-0.08246923798066687) q[5];
cx q[4], q[5];
cx q[5], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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] x11;
input float[64] x12;
input float[64] x13;
inpu... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIIIZIIIIZ",
"IIIIIIZIIZI",
"IIIIIIIIIZZ",
"IIIIIZIIIZI",
"IIIZZIIIIII",
"IZZIIIIIIII",
"IZIIIIIZIII",
"IIZIIIIZIII",
"ZZIIIIIIIII",
"ZIZIIIIIIII",
"ZIIIIIIZIII",
"IIIIIIIZZII",
"ZIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIIIIIII... | [
-2,
-2,
-2,
-2,
1,
-2,
0.5,
-1.5,
-2,
-2,
0.5,
0.5,
-2.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970221 | [
0.5815484583130129,
1.4145592750955194,
-0.46336594336997494,
1.41009336568426,
0.14258149217789381,
0.08531847433328964,
0.3481380186113869,
0.16493847596133374,
2.7494624287191063,
0.03180849311208858,
-0.5006615633647054,
1.4390873794969652,
-0.4474030413446085,
0.04514121645347266,
0... | {
"n_parameters": 67,
"n_qubits": 11,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 227 |
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": -1.3053283939022473, "params": [[-0.0154, 0.027800000000000002, -0.0307], [0.027, -0.029400000000000003, 0.0088]], "bitstrings": ["011011", "111100"], "total_optimization_steps": 10, "probabilities": [0.01671090454563794, 0.01677266579050065], "optimization_time": 4.516858100891... | 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.... | 14 | 6 | 3 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 70.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022388232708840404) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022388232708840404) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022388232708840404) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.022388232708840404) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"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 |
-4840633091927207144 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 5], [0, 1, 2, 3, 4], [0, 2, 5]]} | {"states": [62, 60], "expectation_value": -0.719563380450774, "params": [1.1951, 0.0008, 1.1918, 0.0027, 1.1775, -0.001, 1.1633, -0.0008, 1.2033, 0.0073, 1.2015, 0.0037, 1.2059, 0.3156, 1.202, 0.33890000000000003, 0.7666000000000001, -0.36560000000000004, 0.7636000000000001, 0.007200000000000001, 0.385, 0.3964000000000... | 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.05 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.05 * (Z(2) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(0)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(3) @ Z(0)) + 0.05 * (Z(3) @ Z(2)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(4) @ Z(0)) + 0.05 * (Z(4) @ Z(2)) + ... | 8 | 6 | 1 | {"smallest_eigenvalues": [-1.0333333333333334, -1.0333333333333334, -1.0333333333333334], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.0333333333333332, "smallest_bitstrings": ["000011", "000111", "000101"], "largest_eigenvalue": 2.5000000000000004} | 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[1];
rz(-1.5866323392300794) q[1];
cx q[5], q[1];
cx q[5], q[0];
rz(0.21195365320726003) q[0];
cx q[5], q[0];
cx q[1], q[0];
rz(-0.16247826745008306) q[0];
cx q[1], q[0];
cx q[5], q[2];
rz(0.21195365320726003) 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": []} | [
"ZIIIZI",
"ZIIIIZ",
"IIIIZZ",
"ZIIZII",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.16666666666666666,
0.05,
0.16666666666666666,
0.05,
0.21666666666666667,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.16666666666666663,
0.1000000000000002,
0.26666666666666666,
0.26666666666666666,
0.1,
0.1
] | 0.776854 | [
-1.5866323392300794,
0.21195365320726003,
-0.16247826745008306,
0.2320167627740103,
-0.3174183907191711,
-2.006787925209502,
0.8724488135409196
] | {
"n_parameters": 7,
"n_qubits": 6,
"optimal_eigenvalue": -1.0333333333333334,
"target_ratio": 0.97,
"target_value": -1.0023333333333333
} | 158 |
eb1b2cac0566087578078445a8bfe431 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 3, "target": 7}, {"sour... | {"states": [0, 224], "expectation_value": -0.9929134842190855, "params": [[0.0558], [-0.045700000000000005]], "bitstrings": ["11111111", "00011111"], "total_optimization_steps": 10, "probabilities": [0.005184384958869235, 0.005336258618553377], "optimization_time": 2.4881598949432373} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(3)) + 1.0 * (Z(7) @ Z(5)) + -3.0 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * (Z(4) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["00011111"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.9043400608482596) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.028613396666844728) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.028613396666844704) q[1];
rx(-1.0936888940235951) q[1];
rz(-0.9043400608482596) q[2];
cx q[0], q[2];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2]... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIZIII",
"IZZIIIII",
"IZIIZIII",
"ZIZIIIII",
"ZIIIZIII",
"ZZIIIIII",
"IIZZIIII",
"IIIZZIII",
"IZIZIIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII",
"IIIZIIII"
] | [
-1.5,
0.5,
-1.5,
-2.5,
-2,
-2.5,
1,
-3,
1,
0.5,
1,
0.5,
-2,
0.5,
0.5,
0.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2.5
] | 0.51508 | [
-0.9043400608482596,
0.028613396666844728,
-0.8263703176089077,
-0.43812578806749125,
0.02412213198516952,
-0.11002994277446851,
-1.0936888940235951
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 187 |
708957b51219d907e14d956182c46216 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [265, 329], "expectation_value": -3.5222842379996315, "params": [0.4047, 0.4033, 0.0097, 0.0024000000000000002, 0.402, 0.3985, 0.12890000000000001, 0.12050000000000001, 0.1082, 0.1033, 0.4011, 0.4067, -0.00030000000000000003, -0.006200000000000001, 0.1328, 0.1343, 0.39780000000000004, 0.4006, 0.4041, 0.406, ... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(3)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.5 * Z(6) + -1.5 * Z(1) + ... | 13 | 9 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.5, "smallest_bitstrings": ["000111110", "010010111", "001111100", "110000111", "010110110", "110001011", "011110100"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.6023271691098157) q[0];
rz(0.02034261643410076) q[0];
ry(0.20138858000997326) q[1];
ry(0.7444867135932017) q[2];
ry(0.13383879293934303) q[3];
ry(0.04622000016083789) q[4];
ry(0.7337404923640827) q[5];
ry(0.025302841821889105) q[6];
ry(0.04470241396288557) q[7];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IIZIIIIIZ",
"IIIIZIIZI",
"IIZIIIIZI",
"IIIIIZIZI",
"IIZZIIIII",
"IIIZIIIZI",
"IZZIIIIII",
"IZIIIZIII",
"IZIIIIZII",
"ZIIIZIIII",
"ZIIIIZIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"IZIIIIIII",
"IIIIIIZII",
"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,
-1,
-0.5,
-1.5,
-1.5,
-1,
-0.5,
-1,
0,
-0.5
] | 0.971506 | [
0.6023271691098157,
0.20138858000997326,
0.7444867135932017,
0.13383879293934303,
0.04622000016083789,
0.7337404923640827,
0.025302841821889105,
0.04470241396288557,
0.5661164163655308,
0.04068523286820152,
0.4241198948334541,
-0.5111394202302114,
-0.09526828082429686,
-0.25142926492192363... | {
"n_parameters": 69,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 12 |
f7e92575e65685640cf7c9d8993714e1 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5},... | {"states": [0, 1791], "expectation_value": -10.731177696425927, "params": [0.0123, 1.0409000000000002, 0.12290000000000001, 0.0039000000000000003, 0.4278, 2.3253, 0.6531, 0.0048000000000000004, 0.6932, 2.33, 0.5116, 0.0009000000000000001, -0.7333000000000001, 1.2624, 0.0884, 0.0039000000000000003, 0.7572, 1.0447, -0.44... | -2.0 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(5)) + -2.0 * (Z(8) @ Z(7)) + -1.0 * (Z(9) @ Z(10)) + 0.5 * Z(3) + 0.5 * Z(0) +... | 6 | 11 | 1 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["00100000000"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.007934667769530692) q[0];
rz(-2.5238903375141284) q[0];
rx(2.0652423615426003) q[1];
rz(-1.5647019006754466) q[1];
rx(0.03281533720851773) q[2];
rz(-2.8158342598096855) q[2];
rx(-1.5300178062648735) q[3];
rz(1.6083778126766202) q[3];
rx(3.082269975569686) 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[... | {"node": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIIIIIZIZI",
"IIIIIIIIIZZ",
"IIIIIIZZIII",
"IIIIIIZIIIZ",
"IIIIIIZIIZI",
"IIIIZZIIIII",
"IIIZZIIIIII",
"IIIZIZIIIII",
"IIZIZIIIIII",
"IIZIIZIIIII",
"IIZZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIZIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIIIIZIII... | [
-2,
-2,
0.5,
-2,
0.5,
0.5,
-2,
1,
-2,
-2,
1,
-2,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.971802 | [
0.007934667769530692,
2.188498642870561,
2.0652423615426003,
3.1476870797092436,
0.03281533720851773,
1.8965547205750044,
-1.5300178062648735,
0.03758148588172375,
3.082269975569686,
0.013252377984024954,
-0.3005819164928372,
-0.05936927617080483,
-0.23475716898892646,
0.06204305710924974,... | {
"n_parameters": 54,
"n_qubits": 11,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 450 |
1b919a907d6265aa38892f39fb234570 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 9}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target":... | {"states": [946, 818], "expectation_value": -3.9512824071935255, "params": [0.9097000000000001, -0.0034000000000000002, 0.9086000000000001, 0.0059, 0.9075000000000001, 0.0033, 0.9059, 0.0081, 0.7129000000000001, -0.060200000000000004, 0.7074, 0.0051, -0.0041, -0.4637, -0.0038, 0.0023, 0.8647, 0.0033, 0.8591000000000001... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * Z(3) + -0.5 * Z(0) + -1.0 * Z(9) + -0.5 * Z(1) + ... | 7 | 10 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -5.0, "smallest_bitstrings": ["0101100011", "0001101101", "0001101011", "1011001100", "0011001011", "1001101100", "0011001101"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.3907782609121766) q[0];
rz(0.30882530231564287) q[0];
rx(1.3332013916503132) q[1];
rz(-0.07836607146618813) q[1];
cx q[1], q[0];
rz(-0.10294176743854769) q[0];
cx q[1], q[0];
rx(1.966723833910202) q[0];
rz(0.2987777410790139) q[0];
rx(2.0606474807686235) 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": []} | [
"IIIIIIZIIZ",
"ZIIIIIIIIZ",
"IIIIIIZIZI",
"ZIIZIIIIII",
"IIIZIIIIZI",
"IIIZIZIIII",
"IIIIIZIZII",
"IIIIZIZIII",
"IIZIIIZIII",
"ZIZIIIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"ZIIIIIIIII",
"IIIIIIIIZI",
"IIIZIIIIII",
"IIIIIZIIII",
"IIIIIIIZII",
"IIIIZIIIII"... | [
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,
-0.5,
-1,
-0.5,
-1.5,
-0.5,
0,
0,
-1,
-0.5
] | 0.977656 | [
1.3907782609121766,
0.20588353487709538,
1.3332013916503132,
-0.07836607146618813,
0.08227543243904135,
-0.23816097296184088,
-0.3740804320448874,
0.040199634891852964,
1.726506588455788,
1.6739715366966328,
-0.17719585406943716,
-0.021346585851176502,
0.7763522288434974,
0.011909012345864... | {
"n_parameters": 46,
"n_qubits": 10,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 22 |
-5793055535118245962 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4], [0, 3], [0, 2], [0, 4], [2, 5], [4, 5], [3, 7], [3, 6]]} | {"states": [227, 199], "expectation_value": -3.3659103606948664, "params": null, "bitstrings": ["00011100", "00111000"], "total_optimization_steps": 56, "probabilities": [0.1024972354995457, 0.7220683765600936], "optimization_time": 69.39877724647522} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(7) + 0.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["11000111", "00111000"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(-0.745769197587187) q[1];
cx q[4], q[1];
rz(3.5393099118152804e-08) q[1];
rx(0.7853981204877225) q[1];
cx q[4], q[0];
rz(-0.745769197587187) q[0];
cx q[4], q[0];
cx q[0], q[3];
rz(-0.745769197587187) q[3];
cx q[0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[5], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIZIIZI",
"IIIZIIIZ",
"IIIIZIIZ",
"IIIIIZIZ",
"IIZZIIII",
"IIZIIZII",
"ZIIIZIII",
"IZIIZIII",
"IIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.457781 | [
-0.745769197587187,
3.539309937560311e-8,
0.7853981204877223
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 101 |
9994d9c0864e8ab88d6d9169e088b46e | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 5}, {"weight": 11, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 6}, {... | {"states": [126, 122], "expectation_value": -30.729592483723504, "params": [[-0.0483, 0.005, 0.0018000000000000002, 0.009600000000000001], [0.0766, 0.0616, 0.0644, 0.057100000000000005]], "bitstrings": ["10000001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.019111813608584206, 0.02278372466490799]... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(5) @ Z(6)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 11.5 * Z(0) + 14.0 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 143.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.11596378006153223) q[0];
rz(0.284417285133328) q[0];
rx(0.9079841915554171) q[1];
rz(0.024714267906631924) q[1];
rx(0.7975047609449103) q[2];
rz(0.10494849557346886) q[2];
rx(0.9341338115562028) q[3];
rz(-0.00661968580596823) q[3];
rx(0.9079841915554171) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZZIII",
"IZIIIZII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
11.5,
14,
10,
17.5,
13.5,
1,
10.5
] | 0.984616 | [
-0.11596378006153223,
0.3017390316030879,
0.9079841915554171,
0.024714267906631924,
0.7975047609449103,
0.10494849557346886,
0.9341338115562028,
-0.00661968580596823,
0.06657420471963857,
-0.0771816746141428,
0.4297982157077295,
0.6553221677779906,
0.11368518825262512,
-0.01430271979699142... | {
"n_parameters": 91,
"n_qubits": 8,
"optimal_eigenvalue": -65.5,
"target_ratio": 0.97,
"target_value": -63.535
} | 12 |
7227055949868351043 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[4, 5, 6], [0, 1, 2, 4], [1, 3]]} | {"states": [93, 94], "expectation_value": -0.43247217744191213, "params": [[0.4675], [-0.4393]], "bitstrings": ["0100010", "0100001"], "total_optimization_steps": 50, "probabilities": [0.017463059557013823, 0.01746305955701383], "optimization_time": 2.0098087787628174} | 0.16666666666666666 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.0833333333333335, -1.0833333333333335, -1.0833333333333335, -1.0833333333333335, -1.0833333333333335, -1.0833333333333335], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0833333333333333, "smallest_bitstrings": ["1001001", "1001010", "0100010", "0100001", "0011001", "00011... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[4];
rz(0.40568572316097656) q[4];
cx q[5], q[4];
h q[6];
cx q[5], q[6];
rz(0.40568572316097656) q[6];
cx q[5], q[6];
cx q[4], q[6];
rz(0.4056857231609765) q[5];
rx(-0.8871371794063584) q[5];
rz(0.405685723160976... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[5], q[6];
rz(x0)... | null | {"circuits": [], "gradients": []} | [
"IZZIIII",
"ZZIIIII",
"ZIZIIII",
"IIZIIIZ",
"IIZIIZI",
"IIIIIZZ",
"IIZIZII",
"IIIIZIZ",
"IIIIZZI",
"IIIZIZI",
"IZIIIII",
"IIZIIII",
"ZIIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.16666666666666666,
0.29166666666666663,
0.16666666666666666,
0.125,
0.125,
0.125,
0
] | 0.798099 | [
0.40568572316097656,
0.13947135741043304,
1.5517912942330574,
1.0136987880377217,
0.7217336232867775,
-0.6671797520250718,
-0.8871371794063584
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -1.0833333333333335,
"target_ratio": 0.97,
"target_value": -1.0508333333333335
} | 178 |
6ad9b1b7eb38d4959ef149d40ea74653 | 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": 7}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [378, 376], "expectation_value": -4.171167710734685, "params": [[[0.0884, 0.3674, 0.0043, 0.0076], [0.0098, -0.393, 0.25680000000000003, 0.2], [1.0015, -0.0022, 1.0002, 0.025900000000000003], [0.0584, 0.1361, 0.5914, -0.0002], [-0.8878, -0.0835, 0.9152, -0.44260000000000005], [-0.497, 0.1464, 0.9955, -0.0253... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(5) @ Z(8)) + 0.0 * Z(7) + -0.5 * Z(0) + -1.0 * Z(6) + -2.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(3) + -0.5 * Z(4) + -0.5 * Z(8) + 0.0 * Z(5) | 11 | 9 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["010001110", "010000111", "110001100", "110000101", "110010001", "110011000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.03594834541008313) q[0];
rz(0.4616816258240413) q[0];
ry(-0.15861303964718454) q[1];
rz(-0.29553907713421557) q[1];
cx q[1], q[0];
ry(0.07567223107676338) q[0];
rz(0.0532129670611412) q[0];
ry(0.3450125140582465) q[1];
rz(0.10723090189612076) q[1];
ry(1.46091350891... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IZIIIIIIZ",
"IIZIIIIIZ",
"IIZIIIIZI",
"IIIIIIZZI",
"IIIIIZIZI",
"IIZIZIIII",
"IIIIZIIZI",
"ZIIIIIIZI",
"ZIIZIIIII",
"IZIIIIIII",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"ZIIIIIIII",
"IIIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-0.5,
-1,
-2,
0,
0,
-0.5,
-0.5,
0
] | 0.971171 | [
0.03594834541008313,
0.4616816258240413,
-0.15861303964718454,
-0.29553907713421557,
1.4609135089147174,
-0.05248834076087379,
-0.22491618577340777,
-0.025746997528910215,
-1.3006748384373576,
-0.1892290864595372,
-0.5468290638757681,
0.3460752602436722,
0.03834320904512558,
0.526224900004... | {
"n_parameters": 63,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 19 |
0e6752514ca7a4196fda67a6021f7098 | 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": [490, 426], "expectation_value": -74.04036099672271, "params": [0.012, 0.0137, 0.49870000000000003, 0.49520000000000003, 0.4415, 0.33190000000000003, 0.20020000000000002, 0.2001, 0.4988, 0.4968, 0.068, 0.0494, 0.49350000000000005, 0.49960000000000004, 0.198, 0.17070000000000002, 0.4975, 0.5, 0.0064, 0.0027, ... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(2) @ Z(4)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(5) @ Z(1)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(6) @ Z(3)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(9) @ Z(8)) + -3.0 * Z(0) + 7.5 * Z(1) + 14.5 * Z(4) + 7.5 * Z(3) + 6.0 * Z(2) + -2.0 * Z(5) + 4.0 * Z(7) + 8.5 * Z(6) + 1.5 * Z(8) + -6... | 14 | 10 | 3 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.5, "smallest_bitstrings": ["1001010101"], "largest_eigenvalue": 110.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.12085955847460382) q[0];
rz(pi/2) q[0];
ry(0.5874703294091961) q[1];
ry(0.6310428078019884) q[2];
ry(0.02592678511241603) q[3];
ry(0.5913462552299869) q[4];
ry(0.14069961683499566) q[5];
ry(0.5238658195381928) q[6];
ry(0.13178031567926515) q[7];
ry(0.6372225600270... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIIIIZZII",
"IIIIZIIIZI",
"IIZIIZIIII",
"IIIZIIZIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
-3,
7.5,
14.5,
7.5,
6,
-2,
4,
8.5,
1.5,
-6
] | 0.975239 | [
0.12085955847460382,
0.5874703294091961,
0.6310428078019884,
0.02592678511241603,
0.5913462552299869,
0.14069961683499566,
0.5238658195381928,
0.13178031567926515,
0.6372225600270599,
-0.15250151442246765,
-0.06950647264695227,
-0.03765302153111181,
0.21095763805433873,
0.01529757248275932... | {
"n_parameters": 119,
"n_qubits": 10,
"optimal_eigenvalue": -86.5,
"target_ratio": 0.97,
"target_value": -83.905
} | 8 |
11e3db404ceab325d959c6faf4c54e2e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [11, 7], "expectation_value": -1.6499218710346475, "params": [[-0.07640000000000001, -0.0762, -0.0771, -0.0857], [0.0757, 0.07490000000000001, 0.0729, 0.07780000000000001]], "bitstrings": ["1110100", "1111000"], "total_optimization_steps": 10, "probabilities": [0.020604922415866776, 0.021058286113286397], "o... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(3) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1011010", "1010110", "1111000", "1001110", "1110100"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.007049071499525501) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.007049071499525501) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(-0.007049071499525501) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(-0.007049071499525501) q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIIZ",
"IZIIIZI",
"IZIIIIZ",
"ZIIIIIZ",
"IIZIZII",
"IZIIZII",
"IIZZIII",
"IIIZZII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1,
-1,
0,
-1,
-0.5
] | 0.970471 | [
-0.007049071499525501,
-0.9242864463836944,
1.4859283289212186,
1.648141262809948,
-1.3020927796447306,
1.3981695767054998,
-0.4690203450985888,
0.0064032613649141965,
0.6023180138289096,
0.14348718682098022,
0.27088386843300305
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 42 |
df6b0a55435c2e6f48611bfeaa2a8959 | 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": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "so... | {"states": [63, 55], "expectation_value": -5.372715217948668, "params": [0.00030000000000000003, 0.621, -0.002, 0.5795, 0.5876, 0.0129, 0.4318, 0.091, 0.38520000000000004, 0.1521, 0.7964, 0.014400000000000001, 0.7842, 0.0419, 0.7822, 0.0055000000000000005, 0.0035, 0.7442000000000001, -0.0032, 0.6352, 0.595, 0.0132, 0.4... | 0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.5 ... | 18 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["10100000", "11010000", "11001000"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.023782534509358612) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(-0.2362354194851212) q[1];
cx q[5], q[1];
cx q[0], q[1];
rz(-0.2362354194851212) q[1];
cx q[0], q[1];
cx q[5], q[2];
rz(-0.2362354194851212) 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": []} | [
"IIZIIIIZ",
"IIZIIIZI",
"IIIIIIZZ",
"IIZIIZII",
"IIIIIZIZ",
"IIIIIZZI",
"IZZIIIII",
"IZIIIIZI",
"ZIZIIIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIIZIZI",
"IZIIZIII",
"ZIIIZIII",
"IIIZIIZI",
"IZIZIIII",
"ZIIZIIII",
"IIIZZIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IZIIIII... | [
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,
1.5,
-0.5,
0.5,
0,
2,
2,
-0.5,
-0.5
] | 0.690016 | [
0.023782534509358612,
-0.2362354194851212,
0.0030841673081000017,
-1.5267108229648716,
-1.5111620816372704,
-1.5332934594005045,
1.9304385541401896
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 207 |
d255f243d36c9a74978598fd3f1ae2aa | 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": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 3, "s... | {"states": [0, 1], "expectation_value": -16.46999002453996, "params": [0.0037, 0.4907, 0.0027, 0.608, 0.0024000000000000002, 0.5825, 0.0022, 0.48050000000000004, 0.0034000000000000002, 0.3569, -0.0028, 0.6127, 0.0028, 0.5792, 0.0028, 0.5891000000000001, 0.8089000000000001, 0.0038, 0.0038, -0.3105, 0.0027, -0.2869, 0.00... | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(6)) + -0.25 * (Z(1) @ Z(2)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(8) @ Z(2)) + 3.0 * (Z(8) @ ... | 4 | 9 | 2 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 23.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.0015797083872811958) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(0.0015797083872811958) q[6];
cx q[2], q[6];
cx q[0], q[6];
cx q[2], q[1];
rz(0.9191343808234266) q[1];
cx q[2], q[1];
cx q[2], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IZZIIIIII",
"IIIIIIZZI",
"IIIIZIZII",
"IIZIZIIII",
"IIIIZIIZI",
"IIIIIZZII",
"IIZIIZIII",
"IIIIZZIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"IZIZIIIII",
"IIIZIIIZI",
"IIIZZIIII",
"IIIZIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIZIIIIII",
"... | [
-1.25,
-1.25,
-1,
-0.5,
-1.25,
-0.25,
-1.25,
-0.5,
-0.75,
-0.5,
-0.25,
-1,
-0.5,
3,
-1,
-0.75,
-1,
-1.25,
2.5,
-0.25,
-2.75,
1.75,
-0.25,
-4.5,
1.5,
2.5,
-0.5
] | 0.966391 | [
0.0015797083872811958,
0.07444851338433524,
0.03178757882166383,
0.9191343808234266,
0.046583013805105114,
-0.6239256600860845,
-0.18609342583049215,
0.006772467483078026,
0.9753874413480804,
0.8080312418198444,
0.7786613312674362,
1.4362060176962061,
0.06557371914701193,
0.307507060029793... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -21.25,
"target_ratio": 0.97,
"target_value": -20.6125
} | 500 |
7213bcdac492d012065ef417f31c81b5 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 7}, {"weight": 11, "source": 0, "target": 3}, {"weight": 8, "source": 2, "targ... | {"states": [250, 220], "expectation_value": -46.06596461517641, "params": null, "bitstrings": ["100000101", "100100011"], "total_optimization_steps": 100, "probabilities": [0.09568347035152093, 0.25239527285272545], "optimization_time": 177.5529408454895} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 165.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.20340396474871564) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.20340396474871564) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.20340396474871564) q[1];
cx q[0], q[1];
rz(0.5775232461541333) q[0];
rx(0.06917124980124593) q[0];
h q[3];... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(3.0513) 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] = m... | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10.5,
2.5,
19,
13,
12,
15,
21.5,
-2,
6
] | 0.97222 | [
0.20340396474871564,
-0.3067038430799865,
0.5775232461541325,
-1.6381325054182243,
-0.4463172640294553,
-1.5867492627759474,
-1.750354489443055,
-1.983169579287282,
0.5800697346675281,
0.09245405732541026,
0.06917124980124599,
0.22803559221962097,
-0.40505351954549285,
0.10795793888031349,... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -81,
"target_ratio": 0.97,
"target_value": -78.57
} | 70 |
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