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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
8b9699e184b2dee4b86c87a62e9c7e5c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, ... | {"states": [127, 1], "expectation_value": -0.3621280125335311, "params": [[0.0269, -0.009000000000000001, -0.0018000000000000002, 0.0687], [-0.0426, -0.0057, 0.010400000000000001, -0.0371]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.0051179724976138504, 0.00524119375094... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.25 * (Z(7) @ Z(1)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.0844300752616571) q[0];
rz(2.1139387912759435) q[0];
rx(-0.1498790866820462) q[1];
rz(2.0836137185059904) q[1];
rx(0.057079340349078155) q[2];
rz(1.904948933670651) q[2];
rx(0.06516424781021761) q[3];
rz(2.045016475467456) q[3];
rx(0.05617938885140029) q[4];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"IIIZIIZI",
"IIIZZIII",
"IIIIIZZI",
"IIIIZZII",
"IIIZIZII",
"IIZIIIZI",
"IIZIZIII",
"IZZIIIII",
"ZIZIIIII",
"IIZIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIII... | [
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-0.25,
1.5,
-0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
-0.25,
-1,
-2,
-0.25,
0.75,
0.75,
0.5,
-0.5,
0.25,
0.5
] | 0.977946 | [
-0.0844300752616571,
0.5431424644810464,
-0.1498790866820462,
0.5128173917110932,
0.05707934034907815,
0.3341526068757544,
0.06516424781021762,
0.4742201486725591,
0.0561793888514003,
0.30027713590591465,
-0.019864683485527335,
0.4609679127881336,
0.03382695698344525,
0.3864669591794765,
... | {
"n_parameters": 58,
"n_qubits": 8,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 4 |
9b6c90aee56ab84919f7c826e678a024 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [3, 9], "expectation_value": -2.324925440086811, "params": [[-0.0287, 0.0499, 0.0257, 0.0679], [0.0689, -0.0337, -0.015700000000000002, -0.0441]], "bitstrings": ["11100", "10110"], "total_optimization_steps": 10, "probabilities": [0.04423173075192899, 0.04423173075192899], "optimization_time": 6.151701688766... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -2.75 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 11 | 5 | 4 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "10110"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.715232848262334) q[0];
h q[1];
ry(-0.030328296195851544) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.715232848262334) q[3];
cx q[1], q[3];
ry(0.715232848262334) q[3];
cx q[1], q[3];
ry(0.8365951312196482) q[1];
ry(-0.137398110733318) q[3];
h q[4];
cx q[4], q[0];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
1.75,
2,
2,
1.75,
2,
-2.5,
-2.75,
-3,
-2.5,
-2.25
] | 0.971164 | [
-1.5328804564516896,
-1.430465696524668,
1.0834096726626357,
0.8365951312196482,
-0.5509012021507701,
-0.274796221466636,
0.5569995611029345,
-0.19436412134691167,
0.4190248734622253,
-0.1534221934072706,
-0.34688012124946255,
0.35811511996319667,
0.3114564153778113,
-0.27922289113440785,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 4 |
b0dd1050887f092ff1c439d2cb12f6fe | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 5, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [0, 1], "expectation_value": -9.35861251054978, "params": [[[0.0024000000000000002, 0.0091], [0.0023, 0.0023], [0.0024000000000000002, 0.009000000000000001], [0.0023, 0.0032], [0.0024000000000000002, 0.0], [0.0026000000000000003, 0.0043], [0.0024000000000000002, 0.0068000000000000005], [1.607, 0.004800000000... | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(1)) + 2.0 * (Z(7) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(5) + -0.25 * Z(6) + 1.5 * ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 12.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.02787926834651001) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.24392621843085915) q[5];
cx q[0], q[5];
h q[6];
cx q[1], q[6];
rz(0.5363659672322102) q[6];
cx q[1], q[6];
cx q[5], q[6];
rz(0.027879268346510... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIZIIIIZ",
"IZIIIIZI",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIIIIZZI",
"IIZIZIII",
"IIIIZZII",
"IIIZIIZI",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII"
] | [
-1,
-0.75,
-1.25,
-1,
-0.5,
2,
-0.25,
-0.5,
-0.5,
-1,
-1.5,
-0.5,
-0.25,
-1.25,
-0.25,
1.5,
-0.25,
1.5,
-0.5
] | 0.843743 | [
0.02787926834651001,
0.24392621843085915,
0.5363659672322102,
0.060809672220954014,
-0.33653079246115875,
0.7872732637562534,
2.18834440632333,
-0.751538289689594,
1.563181975540617,
0.06826669057277454,
0.3961428165268017,
1.040659004519177,
0.05826405621687344,
-0.564036277934697,
1.09... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -12.25,
"target_ratio": 0.97,
"target_value": -11.8825
} | 500 |
1dc00844db3f5364ba0548845dd55331 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target":... | {"states": [508, 511], "expectation_value": -0.951158423582904, "params": [[0.0702], [-0.0649]], "bitstrings": ["000000011", "000000000"], "total_optimization_steps": 10, "probabilities": [0.0029012207079376568, 0.0029012207079376568], "optimization_time": 1.6253721714019775} | -1.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * ... | 5 | 9 | 1 | {"smallest_eigenvalues": [-14.5, -14.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.5, "smallest_bitstrings": ["000000000", "000000011"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.2539625485804333) q[0];
cx q[1], q[0];
rz(-0.13187173180135625) q[0];
rx(-0.9136245479395309) q[0];
rz(-0.13187173180135625) q[1];
rx(-0.9136245479395309) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.8312615402865341) q[2];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIIZIZIII",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIZIII",
"IIZIIIZII",
"IIZIZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-1,
-2.5,
-2,
-2,
0.5,
-2,
0.5,
-2,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.543408 | [
-1.2539625485804333,
-0.8312615402865341,
-0.7658704417610142,
-0.131871731801356,
-1.3119076260043678,
-0.7778251211493062,
-0.9136245479395309
] | {
"n_parameters": 7,
"n_qubits": 9,
"optimal_eigenvalue": -14.5,
"target_ratio": 0.97,
"target_value": -14.065
} | 215 |
c513b3f9e92fab9360fc637fed72bb83 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 9}, {"capac... | {"states": [0, 1], "expectation_value": -8.34944203916312, "params": [-0.036500000000000005, -0.0223, -0.0316, -0.004200000000000001, 0.0043, 0.11510000000000001, 0.0011, 0.1558, 0.0035, 0.1521, -0.0007, 0.1626, 0.004200000000000001, 0.1061, -0.0012000000000000001, 0.16010000000000002, 0.003, 0.1602, 0.0015, 0.1635, 0.... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + 1.25 * (Z(9) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(9)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ ... | 6 | 10 | 4 | {"smallest_eigenvalues": [-10.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.2006787591129485) q[0];
rz(1.5111373121971567) q[0];
rx(0.008533205045735058) q[1];
rz(1.7868635420623642) q[1];
rx(-0.011585748536171918) q[2];
rz(1.5898520776238634) q[2];
rx(-0.08394752394391941) q[3];
rz(1.8689766124662555) q[3];
rx(0.008533205045735057) 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": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"ZIIIIIIIIZ",
"IIIIIIIZZI",
"ZIIIIIIZII",
"IIIIZIIIZI",
"IIZIZIIIII",
"IIIIZIIZII",
"IIIZIIIIZI",
"IIZZIIIIII",
"IIZIIIZIII",
"IIIIIIZZII",
"IIIIZIZIII",
"IIIZIIZIII",
"IIZIIZIIII",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIIIZZIII",
"IZIIIIIZII"... | [
-0.5,
-0.5,
-0.5,
1.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
0.75,
1,
0,
-0.25,
-0.5,
-0.25,
0,
-0.25
] | 0.978625 | [
-0.20067875911294852,
-0.05965901459774062,
0.008533205045735057,
0.21606721526746786,
-0.01158574853617192,
0.019055750828967807,
-0.08394752394391941,
0.29818028567135796,
0.15390388893321932,
-0.012954804646189033,
0.37586173891171687,
-0.12008364184354088,
0.18731012752276124,
-0.13200... | {
"n_parameters": 124,
"n_qubits": 10,
"optimal_eigenvalue": -10.25,
"target_ratio": 0.97,
"target_value": -9.942499999999999
} | 8 |
-233323863368405135 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4], [0, 3, 4, 6], [3, 4, 5, 6], [0, 1], [1, 6], [2, 6]]} | {"states": [69, 71], "expectation_value": -2.2384689387840075, "params": null, "bitstrings": ["0111010", "0111000"], "total_optimization_steps": 42, "probabilities": [0.12949214765286549, 0.7499823615838198], "optimization_time": 54.611522912979126} | 0.5 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(5... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.416666666666667, "smallest_bitstrings": ["0111000"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-0.16419615313139993) q[1];
h q[2];
ry(-0.7415094804922518) q[2];
h q[3];
ry(-0.3340003661627588) q[3];
h q[4];
ry(1.4198094372229515) q[4];
ry(-2.5205899775093403) q[5];
rz(-pi) q[5];
h q[6];
cx q[6], q[1];
ry(0.16419615313139993) q[1];
cx q[6], q[1]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[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] = measure q[6... | [
"IIZIIZI",
"IIZIIIZ",
"IIIIIZZ",
"IIZZIII",
"IIIZIIZ",
"ZIZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIZIII",
"IZZIIII",
"IZIZIII",
"ZZIIIII",
"ZIIIZII",
"IIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IZIIIII",
"IIIIZII"
] | [
0.5,
0.08333333333333333,
0.5,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.5,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.25,
0,
0.1250000000000001,
0.24999999999999994,
0.25,
0.125,
0
] | 0.972413 | [
-0.32839230626279986,
1.4198094372229515,
-0.2156168678279938,
1.4572927905379314,
-1.4830189609845037,
-0.5927418281713489,
1.1930160759549415,
0.35751323311697514,
-0.5830422597187936,
-0.6680007323255176,
0.07718474028899758,
-0.3931927060575719,
0.2084129059277624,
-0.09065694626596899... | {
"n_parameters": 35,
"n_qubits": 7,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
3a1b6a9bf7270007712b664c84a12e64 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [22, 113], "expectation_value": -0.7613130074906443, "params": [[-0.06470000000000001, -0.08370000000000001], [0.0646, 0.0748]], "bitstrings": ["1101001", "0001110"], "total_optimization_steps": 10, "probabilities": [0.011668996824464753, 0.012178165949110031], "optimization_time": 3.2729620933532715} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -1.5 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) + -1.0 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0001110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-2.98944785392387) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-3.1246675978861393) q[1];
h q[2];
ry(1.5808721722217702) q[2];
cx q[2], q[0];
ry(-0.011699920057431173) q[0];
cx q[2], q[0];
ry(0.01026944797253282) q[2];
h q[3];
ry(-1.5438572033420326) q[3];
ry(-0.03643268760... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"IZIZIII",
"IZIIIIZ",
"IZIIIZI",
"IIIZZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-1,
-1.5,
0,
0,
-1
] | 0.993193 | [
-1.5438572033420326,
-1.5049965043560467,
-1.510499249238443,
1.5808721722217702,
1.4069516070715422,
-0.04772877990331542,
0.023399840114862347,
0.1835915608405338,
0.01369842055356045,
0.02053889594506564,
0.06291702091381643,
0.013292492936495856,
-0.1050329714841247
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
cf9a1540b011355d554ff1ed574e9153 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 15, "source": 0, "target": 5}, {"weight": 13, "source": 1, "target": 5}, {... | {"states": [124, 118], "expectation_value": -18.434095673081632, "params": [[-0.0285, -0.0159], [0.0591, 0.07300000000000001]], "bitstrings": ["10000011", "10001001"], "total_optimization_steps": 10, "probabilities": [0.010134446556749836, 0.01235655747513574], "optimization_time": 3.142512321472168} | 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(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 19.5 * Z(1) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 151.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027904492225509954) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.027904492225509954) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.027904492225509954) q[2];
cx q[1], q[2];
rz(1.342829921786847) q[1];
rx(1.4533457... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIIZI",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
19.5,
5.5,
15.5,
10.5,
6.5,
16,
13,
9
] | 0.970395 | [
0.027904492225509954,
1.3428299217868471,
-1.3973477579863305,
1.1084896251587875,
-1.2207028245392655,
1.4533457571386144,
-0.40356853974988083,
1.2087457512520743,
0.5067522003052877,
0.6097643117392808,
0.41447285258051847
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 47 |
82f2332f741b5ec7aa4bb36843cd0c9a | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [18, 41], "expectation_value": -0.4178306724686929, "params": [[-0.061000000000000006, -0.0376], [0.0709, 0.0548]], "bitstrings": ["101101", "010110"], "total_optimization_steps": 10, "probabilities": [0.019411485142184583, 0.02004984711521917], "optimization_time": 2.685336112976074} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["010110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-2.9403241929083443) q[0];
rz(-pi) q[0];
ry(-0.01720215763442262) q[1];
rz(-pi) q[1];
h q[2];
ry(1.3821290800872883) q[2];
cx q[2], q[1];
ry(0.0694860038996782) q[1];
cx q[2], q[1];
ry(0.05613383548624982) q[2];
ry(0.05850050848206348) q[1];
h q[3];
ry(-1.53601897824... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"IIIZZI",
"IZIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
-0.5,
-0.5
] | 0.996279 | [
-1.536018978243284,
-1.632424008860247,
-1.484108165260796,
1.351841337460216,
1.3821290800872883,
-0.1389720077993564,
-0.025202427947681655,
0.11226767097249964,
0.06281983496563942,
0.009137857048212211,
0.11700101696412696,
0.06302910739104162,
0.030614649874232056,
0.05044832124532061... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
-8386646673186710872 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[10, 2], [9, 4, 6], [0, 10, 5], [1, 3], [9, 6, 7], [0, 4, 6], [8, 1, 9], [1, 2, 4]]} | {"states": [1643, 1611], "expectation_value": -2.8609595785010153, "params": [0.9540000000000001, -0.0021000000000000003, 2.185, 0.0063, 1.5795000000000001, -0.0026000000000000003, 1.5670000000000002, 0.0058000000000000005, 0.0024000000000000002, -2.3135, -0.0024000000000000002, 0.0039000000000000003, 0.0016, 0.3513, 0... | 0.5 * (Z(10) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(9) @ Z(4)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.3333333333333333 * (Z(6) @ Z(9)) + 0.16666666666666666 * (Z(0) @ Z(10)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(... | 7 | 11 | 1 | {"smallest_eigenvalues": [-3.0000000000000004, -3.0000000000000004], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.9999999999999996, "smallest_bitstrings": ["00110110100", "00011001101"], "largest_eigenvalue": 6.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.9673521157612539) q[0];
rz(-0.11054979532008335) q[0];
rx(1.7175448215782108) q[1];
rz(0.06254462704509572) q[1];
cx q[1], q[0];
rz(-0.005104614012744908) q[0];
cx q[1], q[0];
rx(2.0558551333161765) q[0];
rz(-0.1492933905751449) q[0];
rx(1.3947365272734118) q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIIZII",
"IIIIIIZIZII",
"IZIIIIZIIII",
"IIIIZIZIIII",
"IZIIZIIIIII",
"ZIIIIIIIIIZ",
"IIIIIIZIIIZ",
"IIIIZIIIIIZ",
"ZIIIIZIIIII",
"IIIIIZIIIIZ",
"IIIIIIIIZZI",
"IIIIIIZIIZI",
"IZIIIIIIIZI",
"IIIIIIIZIZI",
"IZIZIIIIIII",
"IIIZZIIIIII",
"IZZIIIIIIII",
"IIZIIIIIIZI",
"IIIIIIIIZ... | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.166... | 0.97621 | [
0.9673521157612538,
-0.1156544093328283,
1.7175448215782108,
0.06254462704509572,
-0.002910775818947442,
-2.4135247312517683,
-0.17328891183399134,
0.2562987442409296,
1.7927774256004394,
0.056215884548441356,
0.37201887982031734,
-0.7895692151637999,
0.1466629010088627,
-0.235471137013819... | {
"n_parameters": 50,
"n_qubits": 11,
"optimal_eigenvalue": -3.0000000000000004,
"target_ratio": 0.97,
"target_value": -2.91
} | 4 |
30ba64f2314d12dd7a4bba52fce6e2f0 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 4, "source": 2, "target": 4}, {"capaci... | {"states": [0, 1], "expectation_value": -4.772620424632315, "params": [[[-0.0028, 0.22560000000000002], [0.3106, 0.005], [0.0038, 0.2931], [0.0014, 0.28290000000000004], [0.0028, 0.2801], [0.4091, 0.0033]], [[-0.0064, 0.1693], [0.3129, 0.005], [-0.00030000000000000003, 0.2223], [0.0035, 0.2985], [0.005, 0.2505], [0.405... | -0.75 * (Z(0) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -1.75 * (Z(2) @ Z(4)) + -0.75 * (Z(1) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + 1.25 * (Z(5) @ Z(0)) + 0.25 * Z(3) + -0.25 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + 0.75 * Z(1) + 0.25 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.25, "smallest_bitstrings": ["111110", "101110", "100000"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(0.013998913927963777) q[0];
rz(-0.17149443553368027) q[0];
rx(0.9176296645850912) q[1];
rz(-0.008414519479911217) q[1];
rx(-0.07133329756888002) q[2];
rz(-0.28009948850485156) q[2];
rx(-0.07133329756888002) q[3];
rz(-0.21658522262626537) q[3];
rx(0.050114731907889454... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IZZIII",
"IZIIIZ",
"IZIZII",
"IIIZZI",
"ZIZIII",
"ZIIIIZ",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIIIZI",
"ZIIIII"
] | [
-0.75,
-1,
-0.25,
-1.75,
-0.75,
-1,
1.25,
0.25,
-0.25,
-0.5,
-0.5,
0.75,
0.25
] | 0.974597 | [
0.013998913927963777,
-0.17149443553368027,
0.9176296645850912,
-0.008414519479911217,
-0.07133329756888002,
-0.28009948850485156,
-0.21658522262626537,
0.050114731907889454,
0.09333842897412256,
2.434106439818495,
0.40266511199623956
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 9 |
40a4a98646d10cc827d706334d3325a9 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"sour... | {"states": [400, 401], "expectation_value": -6.941904506700702, "params": [[[0.6001000000000001, -0.0031000000000000003], [0.6066, 0.0028], [0.0032, 0.3373], [0.1646, 0.2288], [0.607, 0.0029000000000000002], [0.1457, -0.24580000000000002], [0.0048000000000000004, -0.3053], [0.001, 0.3019], [0.6001000000000001, 0.003400... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.5, "smallest_bitstrings": ["101100110", "011001110", "001101110"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(1.985664814950244) q[0];
ry(2.8285920697973395) q[0];
rz(-1.0336103590833838) q[0];
rz(1.296728076273034) q[1];
ry(2.825497880234237) q[1];
rz(-1.7845310317377772) q[1];
rz(1.6696104678702106) q[2];
ry(0.10670750027777277) q[2];
rz(-1.7454187028077723) q[2];
rz(3.044... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIIIIZZI",
"IIIZIZIII",
"IIIIIZIZI",
"IIZIIIZII",
"IIZZIIIII",
"IIZIIIIZI",
"IZIIIIZII",
"IZIZIIIII",
"IZIIIIIZI",
"IZZIIIIII",
"IIIIZIZII",
"IIZIZIIII",
"IZIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-0.5,
-2,
-1.5,
-0.5,
-2.5,
-2.5,
-1,
-0.5
] | 0.976001 | [
1.3899978291945658,
0.07558306171823198,
1.1588235747712334,
-0.046748005437162135,
-0.13399984571823437,
0.21600972030350968,
-0.05591690708820551,
0.07630042188666168,
1.0147593131707706,
0.21394636227693983,
-0.037645532948615064,
-0.16718293040802704,
0.006424173519991028,
-0.644698422... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 11 |
344874972216188870 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 9, 2], [5, 7], [0, 3, 6], [0, 2, 3], [0, 1], [2, 4]]} | {"states": [743, 615], "expectation_value": -1.3124342221609244, "params": [[[1.6014000000000002, 0.002, 0.0081, 0.0057], [1.5806, 0.0031000000000000003, 0.7815000000000001, 0.0035], [1.5969, 0.0008, 0.0066, 0.009600000000000001], [0.43260000000000004, -0.0038, 1.4973, 0.00030000000000000003], [1.5856000000000001, 0.00... | 0.16666666666666666 * (Z(8) @ Z(9)) + 0.16666666666666666 * (Z(2) @ Z(9)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.5 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(3... | 12 | 10 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.4999999999999996, "smallest_bitstrings": ["0110001100", "0110011000"], "largest_eigenvalue": 4.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(3.3104084044652202) q[0];
rz(0.6235542651735869) q[0];
ry(0.6694988303555394) q[1];
rz(-0.09486544903702979) q[1];
cz q[1], q[0];
ry(0.5856325472939856) q[1];
ry(3.0475823832841287) q[2];
rz(0.27598371732347415) q[2];
ry(0.2668310900517382) q[3];
rz(2.58597545846312... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"ZZIIIIIIII",
"ZIIIIIIZII",
"IZIIIIIZII",
"IIZIZIIIII",
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIZIIIIIZ",
"IIIZIIZIII",
"IIIIIIIIZZ",
"IIIIIZIZII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIIIIIZII",
"IIZIIIIIII",
"IIIIZIIIII",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIIIIIZI"... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.33333333333333326,
0,
0,
0.33333333333333326,
0.33333333... | 0.974819 | [
3.3104084044652202,
0.6235542651735869,
0.6694988303555394,
-0.09486544903702979,
3.0475823832841287,
0.27598371732347415,
0.2668310900517382,
2.5859754584631207,
-0.3031846295953873,
1.630987416642495,
0.3098775105907372,
0.2765688400623273,
-3.1916867210397992,
0.7842716546090196,
-0.0... | {
"n_parameters": 28,
"n_qubits": 10,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 83 |
902d1b67930e0629acecd09204caf4e9 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [127, 95], "expectation_value": -11.012789664776811, "params": [[[-0.0199, -1.5553000000000001], [0.0025, -0.0244], [1.6018000000000001, -0.0016], [-0.0029000000000000002, 0.0023], [-0.0038, 0.002], [-0.0027, 0.0014], [-1.4851, 1.4366], [0.0183, -1.2264000000000002]], [[-0.0125, -0.0219], [0.0001, 0.19920000... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.5 * (Z(7) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -1.75 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.25 * Z(1) + -0.25 * Z(0) + -2.5 * Z(2... | 15 | 8 | 4 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["10100000"], "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(-0.0002406203259945633) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.0002406203259945633) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[7];
rz(0.002239755713033603) q[7];
cx q[1], q[7];
cx q[0], q[7];
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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIIZZII",
"ZIIIZIII",
"IIZIIIZI",
"IIZIIZII",
"IZIIIIZI",
"IZZIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"ZIIIIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"IIIZIIII"
] | [
-0.25,
-0.25,
-1.5,
0.75,
-1,
-0.5,
-0.75,
-1.5,
-1.75,
-0.5,
-1.75,
-0.5,
0.25,
-0.25,
-2.5,
-1.5,
1.25,
4,
-1.75,
0.5
] | 0.77774 | [
-0.0002406203259945633,
0.002239755713033603,
-1.5620315308743886,
0.00020706909952766735,
0.029331636032040385,
0.0007288211898819608,
0.11520209218064827,
1.5694007098049831,
-1.4370331811755714,
1.56923526210303,
1.5524995235409658,
1.5661269392947803,
-1.7487633370776487
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 357 |
7d8b3d8ceec2d81b644dfcbc98592f50 | 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": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [380, 382], "expectation_value": -2.994292897230993, "params": [-0.0044, -0.0073, 0.4954, 0.4969, 0.0896, 0.0883, 0.4295, 0.43720000000000003, 0.43320000000000003, 0.4218, 0.48750000000000004, 0.4878, 0.4918, 0.4883, 0.45580000000000004, 0.4854, 0.3557, 0.3418, 0.0815, 0.0833, -0.0094, 0.011600000000000001, ... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(4)) + -0.125 * (Z(1) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(1) @ Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z... | 14 | 10 | 3 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.75, "smallest_bitstrings": ["1000100100", "1010000001", "1001000010"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.39269904215198215) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[1];
rz(-0.39269904215198215) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.39269904215198215) q[2];
cx q[3], q[2];
h q[4];
cx q[4], q[1];
rz(-0.39269904215198215) q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIZZZI",
"IIIIIZIZZI",
"IIIIIZZIZI",
"IIIIIZZZII",
"IIIIIZZZZI",
"IIIIIIIIZZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIZIIIZI",
"IIIZIIIIZI",
"IIIZZIIIII",
"IIIIZIIIZZ",
"IIIZIIIIZZ",
"IIIZZIIIIZ"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
... | 0.521773 | [
-0.39269904215198215,
0.39269904771702413,
-0.785398098795778,
0.7853982839147303,
1.9634955101122697,
0.7016820247458506
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 155 |
5d969f3e881e7d52d3f80c9e7cdea154 | 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}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 7}, {"weight": 12, "source": 1, "target": 3}, {"weight": 2, "source... | {"states": [357, 293], "expectation_value": -55.37015041139499, "params": [[[1.2994, 0.0006000000000000001], [-0.0032, -0.7282000000000001], [0.6929000000000001, 0.2944], [1.3, -0.0013000000000000002], [-0.0031000000000000003, 0.7132000000000001], [-0.0026000000000000003, 0.754], [1.3045, 0.0016], [-0.0033, 0.7559], [1... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(7)) + -6.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + 4.0 * Z(3) + -6.0 * Z(4) + -7.0 * Z(5) + -1.0 * Z(6) + -7.... | 1 | 9 | 2 | {"smallest_eigenvalues": [-65.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "smallest_bitstrings": ["011011010"], "largest_eigenvalue": 80.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(2.548661017275805) q[0];
ry(2.8204443804761508) q[0];
rz(-0.3926590773711194) q[0];
rz(-1.7381528345470052) q[1];
ry(0.10806398667038598) q[1];
rz(1.3405713084973314) q[1];
rz(1.6904414073473593) q[2];
ry(0.3583474331948507) q[2];
rz(-1.664290362310287) q[2];
rz(-2.5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIZIZIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
-6.5,
-1,
-1,
4,
-6,
-7,
-1,
-7,
-4.5
] | 0.971017 | [
1.6584670225984464,
0.2744401593360405,
-0.054796073971493,
-0.3342199425355629,
0.1393264030634095,
0.19248667988857138,
1.7266493056081653,
0.07752303053604856,
0.13883984395081614,
0.709969479060952,
-0.10139344389072638,
0.6392820809710525,
1.8977995924211457,
0.09494141396396726,
-0... | {
"n_parameters": 32,
"n_qubits": 9,
"optimal_eigenvalue": -65,
"target_ratio": 0.97,
"target_value": -63.05
} | 13 |
4914270367321221261 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 7], [3, 6], [1, 2, 6], [3, 4, 5], [1, 5, 6], [0, 2, 4, 5]]} | {"states": [62, 47], "expectation_value": -2.1431818675703145, "params": null, "bitstrings": ["11000001", "11010000"], "total_optimization_steps": 48, "probabilities": [0.05062246062130733, 0.9036366880657132], "optimization_time": 57.33436846733093} | 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.166666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.25, -2.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.1666666666666665, "smallest_bitstrings": ["00001011", "11010000"], "largest_eigenvalue": 5.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[3];
rz(0.9953895837448982) q[3];
cx q[7], q[3];
cx q[3], q[6];
rz(0.9953895837448982) q[6];
cx q[3], q[6];
cx q[3], q[4];
rz(0.08070128225960485) q[4];
cx q[3], q[4];
cx q[3], q[5];
rz(0.08070128... | 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(1.4074) 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[... | [
"ZIIIZIII",
"IZIIZIII",
"IZIIIIZI",
"IZIIIZII",
"IIIIIZZI",
"IIIZZIII",
"IIIZIZII",
"IIZIZIII",
"IZZIIIII",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"ZIIIIIII",
"IIIIZIII",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IIIIIII... | [
0.5,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0,
0.166666666666... | 0.58998 | [
0.9953895837448982,
0.39176283978864757,
0.08070128225960485,
0.06491066745415437,
0.06593306821590429,
-0.063941074913406,
1.3960874769298195,
1.4543996195250863,
-1.4185420548745262,
-0.8891862061643476
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 251 |
13ee655a02302744202e557b5a0f770c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [166, 170], "expectation_value": -5.884426985348303, "params": [0.2999, -0.0007, 0.3052, -0.0002, 0.033800000000000004, -0.14550000000000002, 0.0297, -0.1514, 0.3003, -0.0023, 0.308, -0.0094, 0.0012000000000000001, 0.16720000000000002, -0.0022, 0.1713, 0.28900000000000003, 0.1348, 0.2964, 0.1419, 0.2833, 0.1... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) ... | 7 | 8 | 3 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["01011001", "01010101"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.5206052553831247) q[0];
rz(-0.04190226767589067) q[0];
rx(-0.055684863104496336) q[1];
rz(-0.4942889209026029) q[1];
cx q[1], q[0];
rz(-0.06073272823750737) q[0];
cx q[1], q[0];
rz(1.5986003764039118) q[0];
ry(1.11669448219125) q[0];
rz(-1.4053835971326953) q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIZZIII",
"IIIZIIZI",
"IIZIZIII",
"ZIZIIIII",
"IIZIIIZI",
"IIZZIIII",
"IZIIZIII",
"ZZIIIIII",
"IZIIIIZI",
"IIIIZZII",
"ZIIIIZII",
"IIIIZIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIZI... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-3,
-0.5,
-2,
-1.5,
-1,
-1.5,
-1,
-0.5
] | 0.971835 | [
0.5206052553831247,
-0.10263499591339806,
-0.055684863104496336,
-0.4942889209026029,
0.33239415426026514,
0.036646502026770306,
0.22907694426067263,
0.1743703978791064,
0.6184871033666404,
0.13362139004279175,
0.0692764376626557,
-0.05004447874768747,
0.498363338611356,
-0.052375753509145... | {
"n_parameters": 113,
"n_qubits": 8,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 21 |
-5844117089307843228 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 3], [0, 3], [0, 1], [1, 4], [1, 5]]} | {"states": [39, 43], "expectation_value": -2.2479572546498567, "params": null, "bitstrings": ["011000", "010100"], "total_optimization_steps": 35, "probabilities": [0.05726674091693909, 0.82596360296828], "optimization_time": 27.7145893573761} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["101011", "010100"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.8563570570746015) q[2];
cx q[3], q[2];
rz(-5.0793881989363854e-08) q[2];
rx(0.7853981614089435) q[2];
cx q[3], q[0];
rz(-0.8563570570746015) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(-0.8563570570746015) q[1];
cx q[0], q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[5], q[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 ... | [
"IIZZII",
"IIZIIZ",
"IIIIZZ",
"IZIIZI",
"ZIIIZI",
"IIZIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.521919 | [
-0.8563570570746015,
-5.079388215712607e-8,
0.7853981614089436
] | {
"n_parameters": 3,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 94 |
eae6e1843b1a1da722a560d42ddc605e | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 7, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "so... | {"states": [3714, 3650], "expectation_value": -49.13877364323835, "params": [[[0.3496, -0.4984, 0.0054, 0.009000000000000001], [0.0019, -0.6558, 1.0798, 0.0438], [0.5467000000000001, 0.054900000000000004, -0.0627, -0.0373], [-0.4181, 0.066, 1.3084, 0.015300000000000001], [-0.1458, -0.1365, 0.1592, 0.1078], [-0.00420000... | 0.5 * (Z(9) @ Z(13)) + 2.0 * (Z(14) @ Z(13)) + 1.0 * (Z(14) @ Z(9)) + 0.5 * (Z(10) @ Z(13)) + 1.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(14)) + -0.5 * (Z(3) @ Z(13)) + -1.0 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @ Z(14)) + -1.0 * (Z(3) @ Z(10)) + -1.0 * (Z(4) @ Z(13)) + -2.0 * (Z(4) @ Z(9)) + -2.0 * (Z(4) @ Z(14)) + -2.0 * (Z(4) ... | 11 | 15 | 3 | {"smallest_eigenvalues": [-50.299999999998825], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.49999999999735, "smallest_bitstrings": ["111000110111101"], "largest_eigenvalue": 236.70000000000041} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(0.5287683305396388) q[0];
rz(-0.9268161683756726) q[0];
ry(-0.10217808819744198) q[1];
rz(-0.5783418667524092) q[1];
cx q[1], q[0];
ry(-1.3603505767600765) q[0];
rz(-0.36039689834795685) q[0];
ry(1.406360281513575) q[1];
rz(-0.1575741085837699) q[1];
ry(0.3651799173... | 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": []} | [
"IZIIIZIIIIIIIII",
"ZZIIIIIIIIIIIII",
"ZIIIIZIIIIIIIII",
"IZIIZIIIIIIIIII",
"IIIIZZIIIIIIIII",
"ZIIIZIIIIIIIIII",
"IZIIIIIIIIIZIII",
"IIIIIZIIIIIZIII",
"ZIIIIIIIIIIZIII",
"IIIIZIIIIIIZIII",
"IZIIIIIIIIZIIII",
"IIIIIZIIIIZIIII",
"ZIIIIIIIIIZIIII",
"IIIIZIIIIIZIIII",
"IIIIIIIIIIZZIII",
"... | [
0.5,
2,
1,
0.5,
1,
1,
-0.5,
-1,
-1,
-1,
-1,
-2,
-2,
-2,
2,
-2,
-4,
-4,
-4,
4,
8,
-0.5,
-0.5,
-1,
-0.5,
0.5,
1,
2,
-1,
-1,
-2,
-1,
1,
2,
4,
1,
-1,
-1,
-2,
-1,
1,
2,
4,
1,
2,
-0.5,
-0.5,
0.5,
1,
2,
-1,
-1,
1,
2,
... | 0.970009 | [
0.5287683305396388,
-0.9268161683756726,
-0.10217808819744198,
-0.5783418667524092,
0.3651799173691933,
-0.018062084229981658,
-0.11231870523909311,
-0.30089759223859436,
0.07895868410809148,
-0.7051755962413225,
-0.0798961034276176,
0.7214745887194091,
0.4044205759634726,
0.84351668159837... | {
"n_parameters": 157,
"n_qubits": 15,
"optimal_eigenvalue": -50.299999999998825,
"target_ratio": 0.97,
"target_value": -48.79099999999886
} | 149 |
7e799239f8573f120a2c5e15cda2e88f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}]} | {"states": [14, 7], "expectation_value": -2.4964641631109394, "params": null, "bitstrings": ["10001", "11000"], "total_optimization_steps": 19, "probabilities": [0.06634837994070204, 0.9303663571679487], "optimization_time": 10.77306604385376} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -0.5 * Z(1) + 0.0 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["10001", "11000"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.013661432647873829) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.47799463725369296) q[1];
h q[2];
ry(1.609883237122917) q[2];
h q[3];
ry(1.609883237122917) q[3];
h q[4];
cx q[4], q[1];
ry(0.47799463725369296) q[1];
cx q[4], q[1];
ry(-0.6440649203767641) q[1];
ry(0.9857223264... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIZIZ",
"IZIIZ",
"IIIZZ",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
-1,
0,
-0.5,
0
] | 0.994711 | [
-1.5961244559276881,
1.609883237122917,
-0.9559892745073859,
0.7778346010594781,
-0.4321667361998622,
0.4157754507244771,
-0.42379636835380385,
0.245207488748664,
-0.0379388834944252,
0.03472662903914467,
0.0730459640739915,
0.07797912356133081,
-0.0856693429277921
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 1 |
1103320732558873209 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 10, 11, 6], [8, 10], [8, 11, 7], [0, 4, 5], [1, 10, 4, 7], [6, 7], [9, 3], [2, 10, 11], [1, 5, 7], [2, 5], [1, 10, 3], [0, 2, 6], [8, 1], [0, 1, 4, 7], [3, 2, 11], [0, 2, 11], [0, 9], [0, 1, 5, 6], [0, 10, 6], [0, 8, 5], [8, 2, 3, 7], [10, 3, 5, 6]]} | {"states": [3858, 3411], "expectation_value": -1.4303092292924267, "params": [[0.18080000000000002], [-0.1867]], "bitstrings": ["000011101101", "001010101100"], "total_optimization_steps": 20, "probabilities": [0.0007593245456639017, 0.0007697900755387398], "optimization_time": 39.76218938827515} | 0.3333333333333333 * (Z(1) @ Z(10)) + 0.25 * (Z(11) @ Z(10)) + 0.08333333333333333 * (Z(11) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(10)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(11)) + 0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(11)) + 0.08333333333333333... | 1 | 12 | 1 | {"smallest_eigenvalues": [-6.749999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.249999999999998, "smallest_bitstrings": ["001010101100"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[10], q[1];
rz(0.00034623783475699215) q[1];
cx q[10], q[1];
h q[11];
cx q[10], q[11];
rz(0.000541504587032266) q[11];
cx q[10], q[11];
cx q[1], q[11];
cx q[10], q[6];
rz(-0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IZIIIIIIIIZI",
"ZZIIIIIIIIII",
"ZIIIIIIIIIZI",
"IZIIIZIIIIII",
"IIIIIZIIIIZI",
"ZIIIIZIIIIII",
"IZIZIIIIIIII",
"IIIZIIIIIIZI",
"ZIIZIIIIIIII",
"IZIIZIIIIIII",
"IIIIZIIIIIZI",
"ZIIIZIIIIIII",
"IIIIZZIIIIII",
"IIIZZIIIIIII",
"IZIIIIIIIIIZ",
"IIIIIIIIIIZZ",
"ZIIIIIIIIIIZ",
"IIIIIZIII... | [
0.3333333333333333,
0.25,
0.08333333333333333,
0.3333333333333333,
0.16666666666666666,
0.08333333333333333,
0.5,
0.5,
0.16666666666666666,
0.08333333333333333,
0.3333333333333333,
0.16666666666666666,
0.5,
0.25,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.4166... | 0.6553 | [
0.00034623783475699215,
0.000541504587032266,
-0.002441725582298291,
0.0004915928162147529,
0.0019082950854273125,
0.0428467238866899,
1.570795610063196,
1.5707942093612346,
1.2522162234871272,
-0.06521077078452876,
-1.5707892436053186,
1.5707104515681305,
-1.5713898955070047,
-1.570788845... | {
"n_parameters": 16,
"n_qubits": 12,
"optimal_eigenvalue": -6.749999999999998,
"target_ratio": 0.97,
"target_value": -6.547499999999998
} | 433 |
fbeca3287c88ac656e8f44e35837a20d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [121, 109], "expectation_value": -13.931695708190414, "params": [[-0.0262, -0.031900000000000005, 0.009600000000000001], [0.0415, 0.0694, 0.038900000000000004]], "bitstrings": ["10000110", "10010010"], "total_optimization_steps": 10, "probabilities": [0.01251061687147438, 0.014165388137237722], "optimization... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(2) @ Z(5)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 5.5 * Z(1) + 1.5 * Z(0) + 19.0 * Z(4) + 14.5 * Z(5) + 14.5 * Z(2) + 6.0 * Z(3)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-59.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -51.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 117.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.4621200799157078) q[0];
rz(2.5310802994442465) q[0];
rx(1.0371216398864838) q[1];
rz(1.2936490653800785) q[1];
rx(1.5502854236584591) q[2];
rz(1.6255839899431388) q[2];
rx(2.0270665855362484) q[3];
rz(2.37946354203517) q[3];
rx(1.626482565654) q[4];
rz(1.4004363227... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] 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": []} | [
"IIIIIIZZ",
"IIIZIIZI",
"IIZZIIII",
"IIIIIZIZ",
"IIIZIZII",
"IIZIIZII",
"IIIZZIII",
"IIZIZIII",
"IIIIZZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IIIIIZII",
"IIIIZIII",
"ZIIIIIII",
"IZIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
5.5,
1.5,
19,
14.5,
14.5,
6,
7.5,
-1
] | 0.977034 | [
0.4621200799157078,
0.9602839726493494,
1.0371216398864838,
-0.2771472614148176,
1.5502854236584591,
0.05478766314824232,
2.0270665855362484,
0.8086672152402733,
1.626482565654,
-0.17036000403937762,
1.5389205452174688,
0.023243864098932004,
0.6780255439029278,
-0.006324178265194772,
1.9... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -59,
"target_ratio": 0.97,
"target_value": -57.23
} | 18 |
c196f6ccfe3c25253f54e5e06b84f3b8 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.21879097621253038, "params": [[0.2597], [-0.2515]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 30, "probabilities": [3.527858586416782e-05, 3.527858586416782e-05], "optimization_time": 14.977709770202637} | 0.25 * (Z(0) @ Z(1)) + 0.00026041666666666666 * (Z(2) @ Z(0)) + 0.00026041666666666666 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006944444444444446 * (Z(4) @ Z(0)) + -0.0005208333333333333 * (Z(4) @ Z(2)) + -0.0006944444444444446 * (Z(5) @ Z(1)) + -0.0005208333333333333 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0201388888888565], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0201388888888165, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.013888888888872} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(0.6087726243435807) q[0];
ry(0.11082621743002809) q[1];
ry(1.0733287580744895) q[2];
ry(-0.1163723614726779) q[3];
ry(0.7091191673194321) q[4];
ry(0.07396271209666107) q[5];
ry(2.319711973300919) q[6];
ry(1.6497993399460364) q[7];
ry(-0.20726565446981038) q[8];
ry(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[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h ... | {"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,
0.00026041666666666666,
0.00026041666666666666,
0.25,
-0.0006944444444444446,
-0.0005208333333333333,
-0.0006944444444444446,
-0.0005208333333333333,
0.25,
-0.00078125,
-0.0006510416666666666,
-0.0005208333333333333,
-0.00078125,
-0.0006510416666666666,
-0.0005208333333333333,
0.... | 0.973075 | [
0.6087726243435807,
0.11082621743002809,
1.0733287580744895,
-0.1163723614726779,
0.7091191673194321,
0.07396271209666107,
2.319711973300919,
1.6497993399460364,
-0.20726565446981038,
1.6064486428300453,
-0.07367029837453902,
1.8628578875602981,
0.04839711629171106,
0.5713285961982353,
-... | {
"n_parameters": 31,
"n_qubits": 16,
"optimal_eigenvalue": -2.020138888888864,
"target_ratio": 0.97,
"target_value": -1.9595347222221982
} | 42 |
6946fbda84d92871847bf53596399897 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [1, 17], "expectation_value": -11.166162975113258, "params": null, "bitstrings": ["111110", "101110"], "total_optimization_steps": 19, "probabilities": [0.43051361361722545, 0.4999999676316289], "optimization_time": 11.593754529953003} | -1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + 3.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.25 * Z(3) + -0.25 * Z(0) + -1.0 * Z(4) + 0.25 * Z(1) + -0.5 * Z(2) + 2.75 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-12.0, -12.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["111110", "101110"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(1.551286213379778) q[0];
ry(0.14995386152144122) q[0];
rz(-1.157952155487887) q[0];
rz(1.7949694323876582) q[1];
ry(0.8600732688310629) q[1];
rz(-1.5619298147562424) q[1];
rz(-1.494414036029636) q[2];
ry(0.25948250070177714) q[2];
rz(2.109430114529392) q[2];
rz(-1.99... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[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 \"stdgat... | [
"IIZIIZ",
"IZIIIZ",
"IIZIZI",
"IIZZII",
"IZIZII",
"ZIIIIZ",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
-1.25,
-1.5,
-0.25,
-0.25,
-0.5,
3,
-0.25,
-1.25,
-0.25,
-1,
0.25,
-0.5,
2.75
] | 0.983075 | [
0.05760476468977301,
0.19533053854689783,
0.2935220690165271,
0.21247908078017866,
-0.33585903240393633,
0.2959684062839665,
-0.34014046378460583,
0.13274283234330986,
-0.10404306296453697,
0.20649247381463964,
0.9880477207375283,
-0.024097524940315328,
0.1102325674469585,
0.19708286430355... | {
"n_parameters": 43,
"n_qubits": 6,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 8 |
fd56f218638d977dedda8f316e8ac831 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target": 6},... | {"states": [1999, 2047], "expectation_value": -14.124783505110676, "params": null, "bitstrings": ["00000110000", "00000000000"], "total_optimization_steps": 100, "probabilities": [0.1074626999896595, 0.33083276113011073], "optimization_time": 178.50724005699158} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + -2.0 * (Z(10) @ Z(8)) + 1.0 * (Z(10) @ Z(7)) + -2.0 * (Z(10) @ Z(9)) + -1.5 * (Z(3) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + 0... | 5 | 11 | 1 | {"smallest_eigenvalues": [-18.5, -18.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["00000000000", "00110000000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.1712124758212044) q[0];
ry(0.07709699271188594) q[1];
ry(-0.08115682832855912) q[2];
ry(0.21652098539671552) q[3];
ry(-0.07390214079553001) q[4];
ry(-0.08115682832855912) q[5];
ry(0.1356953529998539) q[6];
ry(-0.012514060057308485) q[7];
ry(0.04061111232452781) q[... | null | {"node": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5706) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[... | [
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIZZIIIII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZIZIIIIIIII",
"ZIIZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIZZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIIIII",
"IZIIIIIII... | [
-1.5,
-1.5,
0.5,
-1,
-2,
-2,
-2,
-2,
1,
-2,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.973119 | [
0.1712124758212044,
0.07709699271188594,
-0.08115682832855912,
0.21652098539671552,
-0.07390214079553001,
0.1356953529998539,
-0.012514060057308485,
0.04061111232452781,
-0.03538179981671742,
-0.05964469596241618,
3.279802340973296,
0.05305086017734765,
-0.0888358277130858,
-0.203042006242... | {
"n_parameters": 17,
"n_qubits": 11,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 22 |
081a3ef2a02910794db9cb14b9d27e2c | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [9, 6], "expectation_value": -0.18659082891830409, "params": [[-0.0609, -0.0574], [0.0758, 0.0721]], "bitstrings": ["10110", "11001"], "total_optimization_steps": 10, "probabilities": [0.037003904542616206, 0.03700390454261623], "optimization_time": 1.469766616821289} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["10011", "01101", "11001", "10110", "01110"], "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(-0.3032958163120794) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(-0.3032958163120794) q[0];
cx q[2], q[0];
rz(0.8552742360724439) q[0];
rx(0.459671657095483) q[0];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.3032958163120794) q[3];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[4], q[3];... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZIZ",
"ZZIII",
"IZIZI",
"ZIZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.971835 | [
-0.3032958163120794,
0.8552742360724437,
0.459671657095483,
-0.19969798362318422,
-0.5347021902916858,
0.39881531451821206,
-0.8390846379262727,
0.5552620141921045,
0.31915477986402796,
-0.8857236685748646,
1.4111741889625347,
0.36007566681044045
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 49 |
a2b703670d19247f6071de624d813f7d | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [43, 41], "expectation_value": -0.2340038755515595, "params": [[-0.056], [0.0683]], "bitstrings": ["1010100", "1010110"], "total_optimization_steps": 10, "probabilities": [0.008698804042841674, 0.008731307016623644], "optimization_time": 2.6214253902435303} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -2.0 * Z(2) + -1.5 * Z(6) + -1.0 * Z(4) + -1.0 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["0110101", "1010110", "0110011", "1010101"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.13585782355247195) q[0];
rz(0.29864270240676144) q[0];
ry(0.4563168005262513) q[1];
rz(0.38243811920507753) q[1];
cx q[1], q[0];
ry(0.5176341854895177) q[0];
rz(-0.43373726839029036) q[0];
ry(0.7226319683581064) q[1];
rz(0.3157779697635044) q[1];
ry(0.545519599691... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIIZ",
"ZIIIZII",
"IIZIIZI",
"ZIZIIII",
"IZIIZII",
"ZZIIIII",
"IZZIIII",
"IIIZZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIZIIII",
"IZIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-2,
-1.5,
-1,
-1,
0
] | 0.970229 | [
0.13585782355247195,
0.29864270240676144,
0.4563168005262513,
0.38243811920507753,
0.545519599691342,
0.19833271922099288,
0.047629893253298736,
-0.6494667888063903,
0.8509917401973556,
0.07690407039138134,
0.3022796071558218,
0.36948672697092555,
-0.07852957412380208,
0.27113912634784293,... | {
"n_parameters": 118,
"n_qubits": 11,
"optimal_eigenvalue": -3.6875,
"target_ratio": 0.97,
"target_value": -3.576875
} | 91 |
ec471b6985489d774242f85569adf59b | 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": 3}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 5... | {"states": [64, 63], "expectation_value": -1.4718147094352259, "params": [[0.0669, 0.06910000000000001, 0.0616, 0.056], [-0.061200000000000004, -0.0716, -0.0629, -0.0575]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.020940953712151062, 0.021844557709736413], "optimization_... | -0.5 * (Z(0) @ Z(3)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(5)) + 0.75 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(4)) + 0.5 * Z(3) + -0.25 * Z(0) + 0.0 * Z(2) + -0.75 * Z(1) + -0.5 * Z(5) + 1.0 * Z(4) + 0.0 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.25, -5.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.25, "smallest_bitstrings": ["1100000", "1000000"], "largest_eigenvalue": 7.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.22626317840587773) q[0];
ry(-0.5184008335123981) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
ry(1.1401633959010897) q[3];
cx q[2], q[3];
ry(-1.1401633959010897) q[3];
cx q[2], q[3];
ry(1.0093741371010103) q[2];
cx q[3], q[2];
ry(-1.0093741371010103) q[2];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIIZZII",
"IIIIZZI",
"IZIZIII",
"IZIIZII",
"IIZIIZI",
"IZZIIII",
"ZIIIIIZ",
"ZIZIIII",
"IIIZIII",
"IIIIIIZ",
"IIIIZII",
"IIIIIZI",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
-0.5,
-1,
-0.25,
-0.5,
-0.25,
-0.5,
-1.25,
0.75,
-0.75,
0.5,
-0.25,
0,
-0.75,
-0.5,
1,
0
] | 0.970102 | [
-0.1900303620413008,
2.2803267918021795,
1.1256654437583153,
2.0187482742020206,
1.6434168369096631,
1.8426328371418002,
-0.45252635681175546,
0.08217158641126696,
-0.8455112738086743,
-0.4137684389476487,
0.288434515948629,
-1.303737398731056,
-0.011656880147209253,
0.1711251505104498,
... | {
"n_parameters": 32,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 99 |
5068486278305057179 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 3, 4, 5, 7], [0, 2, 3, 4, 6, 7], [0, 3, 5, 6, 7], [1, 2, 3, 4, 6, 7]]} | {"states": [63, 55], "expectation_value": -0.6541030978700719, "params": null, "bitstrings": ["11000000", "11001000"], "total_optimization_steps": 61, "probabilities": [0.09628969238647013, 0.12731100078887497], "optimization_time": 117.14506125450134} | 0.08333333333333334 * (Z(1) @ Z(3)) + 0.11666666666666667 * (Z(4) @ Z(3)) + 0.08333333333333334 * (Z(4) @ Z(1)) + 0.1 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(4)) + 0.16666666666666669 * (Z(7) @ Z(3)) + 0.08333333333333334 * (Z(7) @ Z(1)) + 0.11666666666666667 * (Z(7) @ Z(4)) + 0.1 * (Z(7) @ Z(5)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.8000000000000003, -0.8000000000000003, -0.8000000000000003, -0.8000000000000003, -0.8000000000000003, -0.8000000000000003, -0.8000000000000003, -0.8000000000000003, -0.8000000000000003, -0.8000000000000003], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -0.8, "smallest_bitst... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.05711837809340594) q[0];
h q[1];
ry(-0.07533605375430129) q[1];
h q[2];
ry(-2.9262385738230714) q[3];
rz(-pi) q[3];
h q[4];
cx q[4], q[1];
ry(0.07533605375430129) q[1];
cx q[4], q[1];
ry(-0.166753424901202) q[4];
cx q[1], q[4];
ry(0.166753424901202) q[4];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.2883) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIZIZI",
"IIIZZIII",
"IIIZIIZI",
"IIZIZIII",
"IIZIIIZI",
"IIZZIIII",
"ZIIIZIII",
"ZIIIIIZI",
"ZIIZIIII",
"ZIZIIIII",
"IIIIZIIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"ZIIIIIIZ",
"IIIIZZII",
"IIIIIZZI",
"IIIZIZII",
"ZIIIIZII",
"IIIIIZIZ",
"IZIIZIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIII... | [
0.08333333333333334,
0.11666666666666667,
0.08333333333333334,
0.1,
0.05,
0.05,
0.16666666666666669,
0.08333333333333334,
0.11666666666666667,
0.1,
0.08333333333333334,
0.03333333333333333,
0.05,
0.08333333333333334,
0.06666666666666667,
0.03333333333333333,
0.06666666666666667,
0.... | 0.972504 | [
1.4809089899372474,
1.0468729802981083,
0.6171385334601329,
0.1021427782947816,
0.34054457308878683,
-0.11423675618681188,
0.29938677614997905,
-0.15067210750860258,
0.5743231772867501,
-0.37985207247467545,
-0.333506849802404,
-0.17316633216016464,
0.027873755397177444,
0.0002366654890464... | {
"n_parameters": 60,
"n_qubits": 8,
"optimal_eigenvalue": -0.8000000000000003,
"target_ratio": 0.97,
"target_value": -0.7760000000000002
} | 19 |
5012989909338209192 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 4], [5, 7], [0, 1, 3], [8, 2], [3, 4, 7], [2, 3, 4], [1, 2], [2, 6, 7], [8, 0, 4], [0, 3, 6], [8, 3, 6], [2, 3, 5], [5, 6], [1, 6], [0, 2, 4], [4, 5], [8, 1, 3], [0, 2, 6]]} | {"states": [374, 118], "expectation_value": -4.68844524557549, "params": [1.1793, 0.007500000000000001, 0.9235000000000001, 0.0078000000000000005, 0.5482, -0.0023, -0.0079, 0.0041, 1.3934, -0.004200000000000001, 1.3912, 0.007500000000000001, 1.3982, -0.0031000000000000003, 1.3921000000000001, 0.005200000000000001, 1.38... | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.3333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @... | 6 | 9 | 1 | {"smallest_eigenvalues": [-5.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.833333333333333, "smallest_bitstrings": ["110001001"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(-0.6531396385558925) q[1];
cx q[4], q[1];
h q[5];
cx q[4], q[5];
rz(-0.6531396385558925) q[5];
cx q[4], q[5];
h q[6];
h q[7];
cx q[4], q[7];
rz(0.03774961976740608) q[7];
cx q[4], q[7];
cx q[4], q[0];
rz(-0.09523... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZI",
"IIIZZIIII",
"IZIIZIIII",
"IZIZIIIII",
"IIIIZIIIZ",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIIIZIZI",
"IIIZIZIII",
"IZIIIZIII",
"IIIIIZIIZ",
"ZIIIZIIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIIIZIZII",
"IIIIIIZZI",
"IIIZIIZII",
"IZIIIIZII",
"IIIIIIZIZ",
"IIIIIZZII",
"... | [
0.5,
0.5,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.... | 0.522396 | [
-0.6531396385558925,
0.03774961976740608,
-0.09523004618077191,
-0.029970159057181162,
-0.9472959028866281,
-1.5103699116597538,
0.8452397831034623
] | {
"n_parameters": 7,
"n_qubits": 9,
"optimal_eigenvalue": -5.166666666666666,
"target_ratio": 0.97,
"target_value": -5.011666666666666
} | 185 |
bd53e0f03f0d19af6cb39bf47cf396d2 | 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": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [61, 53], "expectation_value": -1.1180165591228604, "params": [[-0.0623, -0.0529], [0.06330000000000001, 0.0645]], "bitstrings": ["1000010", "1001010"], "total_optimization_steps": 10, "probabilities": [0.01326470420743156, 0.014068555416823916], "optimization_time": 3.632075309753418} | -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) | 1 | 7 | 2 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["1000010", "1001010"], "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 |
9f43fe75b2280c840369a5d99b502e49 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [50, 14], "expectation_value": -0.09176343665287716, "params": [[-0.0415], [0.0476]], "bitstrings": ["1001101", "1110001"], "total_optimization_steps": 10, "probabilities": [0.008219577964755623, 0.008280733582074876], "optimization_time": 1.5104167461395264} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(5) + -1.0 * Z(4) + -0.5 * Z(1) + -1.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1110001", "1010101", "1001101"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.13798124840612863) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.13798124840612863) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.13798124840612863) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.13798124840612863) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IZIIIIZ",
"IIZIZII",
"IIZIIZI",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"IIZIIII",
"IIIIIZI",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-0.5,
-1,
-0.5,
-1.5
] | 0.833582 | [
0.13798124840612863,
1.1427837653768327,
-1.8894360710812084,
1.440063164765446,
1.845482091247767,
-1.5875174889768033,
3.8510997105473463,
-1.0746530285980647,
2.8299754779374093,
0.45330398543812134
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 298 |
1121099051364864054 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 4, 5], [8, 2], [1, 4, 5], [0, 2, 5, 7], [0, 4, 5, 7], [1, 7], [9, 4], [8, 3], [9, 3], [3, 4, 5], [0, 4, 6], [8, 1], [8, 5, 6, 7], [4, 5, 6, 7], [0, 9, 5, 7], [1, 2, 4], [9, 1, 6], [0, 2, 6, 7]]} | {"states": [1020, 984], "expectation_value": -1.152194946669682, "params": [0.7973, -0.0005, 0.8014, 0.0002, 0.8032, 0.0004, 0.8013, 0.0077, 0.803, 0.0041, 0.7928000000000001, 0.0015, 0.8031, 0.0019, 0.8045, 0.0079, 0.8077000000000001, 0.0031000000000000003, 0.8011, 0.0071, 0.8043, -0.0015, 0.7975, 0.003, 0.80580000000... | 0.3333333333333333 * (Z(2) @ Z(4)) + 0.6666666666666666 * (Z(5) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.5 * (Z(8) @ Z(2)) + 0.08333333333333333 * (Z(8) @ Z(5)) + 0.3333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(8)) + 0.25 * (Z(0) @ Z(4)) + 0.166... | 6 | 10 | 1 | {"smallest_eigenvalues": [-5.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.916666666666668, "smallest_bitstrings": ["0000100111"], "largest_eigenvalue": 15.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(2.5086440193471122) q[0];
rz(1.4942337524463616) q[0];
rx(1.6999380270863407) q[1];
rz(1.5328298140771723) q[1];
rx(2.215364327117826) q[2];
rz(1.5103934881010534) q[2];
rx(3.0395216845812656) q[3];
rz(0.6332564018691467) q[3];
rx(2.037707697400211) q[4];
rz(1.59576... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZII",
"IIIIZZIIII",
"IIIIZIIZII",
"IZIIIIIZII",
"IZIIZIIIII",
"IIIIIZIIZI",
"IIIIIIIZZI",
"IIIIZIIIZI",
"IZIIIIIIZI",
"IIIIIZIIIZ",
"IIIIIIIZIZ",
"IIIIZIIIIZ",
"IIZIIZIIII",
"IIZIIIIZII",
"IIZIZIIIII",
"IZZIIIIIII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"ZIIIIZIIII",
"ZIIIZIIIII"... | [
0.3333333333333333,
0.6666666666666666,
0.25,
0.5,
0.08333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.25,
0.16666666666666666,
0.25,
0.16666666666666666,
0.16666666666666666,
0.41666666666666663,
0.08333333333333333,
0.5,
0.3333333333333333,
... | 0.970637 | [
2.5086440193471122,
-0.0765625743485353,
1.6999380270863407,
-0.03796651271772417,
2.215364327117826,
-0.06040283869384247,
3.0395216845812656,
-0.93753992492575,
2.037707697400211,
0.024968531280772192,
2.4089403811550247,
0.01563231992002997,
2.9520695379091806,
0.06328362486886173,
3.... | {
"n_parameters": 47,
"n_qubits": 10,
"optimal_eigenvalue": -5.166666666666668,
"target_ratio": 0.97,
"target_value": -5.011666666666668
} | 419 |
3179afe1dc957b5c6c41286c03203dc8 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [84, 22], "expectation_value": -3.989065418603672, "params": null, "bitstrings": ["0101011", "1101001"], "total_optimization_steps": 28, "probabilities": [0.06023650841909519, 0.8645372942717928], "optimization_time": 27.06254243850708} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + -1.5 * Z(6) + 0.0 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["1101001", "1011001", "1100110", "0101011", "1100101", "0100111"], "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(-0.13519463971453738) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(-0.13519463971453738) q[5];
cx q[0], q[5];
h q[6];
cx q[1], q[6];
rz(-0.13519463971453738) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], q[2];
r... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IZIIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZZIIIII",
"IIIIZZI",
"IIIZIZI",
"ZIZIIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-0.5,
-1.5,
0,
-0.5,
-0.5
] | 0.886931 | [
-0.13519463971453738,
-1.6691644219825768,
-0.6313546200021425,
0.11027252980613785,
1.1036832609062868,
-1.79926365316697,
1.0758154656507484,
1.9622076409523441,
-2.3901140905378706,
-1.0044660673943189,
-0.4784452543272119
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 352 |
2420526458700608399 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 4], [1, 3], [2, 5], [0, 3], [0, 4], [3, 5]]} | {"states": [49, 57], "expectation_value": -1.882490258821845, "params": null, "bitstrings": ["001110", "000110"], "total_optimization_steps": 40, "probabilities": [0.14530540540750425, 0.6483460791151621], "optimization_time": 33.29862594604492} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(0) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -1.0, "smallest_bitstrings": ["001100", "001110", "101100", "110001", "110011", "000111", "000110", "010011", "111001", "111000"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(-0.7694077936053814) q[1];
cx q[3], q[1];
rz(2.959180367412273e-08) q[1];
rx(0.7853981790170272) q[1];
h q[4];
cx q[4], q[2];
rz(-0.7694077936053814) q[2];
cx q[4], q[2];
cx q[4], q[0];
rz(-0.7694077936053814) q[0];
cx q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IZIZII",
"IIZIZI",
"ZIIZII",
"ZIZIII",
"IZIIIZ",
"IIZIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"IIIIZI",
"ZIIIII",
"IIIIIZ"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.721325 | [
-0.7694077936053814,
2.959180333497196e-8,
0.7853981790170274
] | {
"n_parameters": 3,
"n_qubits": 6,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 88 |
0f435eed505f807fb8dc44643dfd43ce | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 22, "source": 0, "target": 2}, {"weight": 25, "source": 0, "target": 3}, {"weight": 2, "source": 1, "target": 2}, {"weight": 24, "source":... | {"states": [238, 350], "expectation_value": -1.7892634798676452, "params": [[-0.0751, -0.0722, -0.063], [0.0746, 0.07590000000000001, 0.0708]], "bitstrings": ["100010001", "010100001"], "total_optimization_steps": 10, "probabilities": [0.00512957029087219, 0.005129570290872193], "optimization_time": 9.252303123474121} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.366669122515066) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.366669122515066) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.366669122515066) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.366669122515066) q[3];
cx q[0], q[3];
h q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.608376 | [
0.366669122515066,
0.6186240853904678,
-0.8045916182441789
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 106 |
b426b8aff164c6823b185eb6b091738d | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 4, "target": 3}, {"source": ... | {"states": [23, 7], "expectation_value": -1.6690980925199472, "params": [[[0.4718, -0.3291], [0.7006, -0.164], [0.47340000000000004, -0.3292], [0.9908, -0.0021000000000000003], [0.9959, 0.0018000000000000002], [0.9969, 0.0019]], [[0.47690000000000005, 0.0047], [0.7088, 0.006], [0.4743, 0.0004], [0.9917, 0.0012000000000... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 1 | 6 | 2 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(3.146586182667847) q[0];
rz(-0.4960671937553839) q[0];
ry(-0.1292922814490114) q[1];
rz(-0.6985758714498361) q[1];
cz q[1], q[0];
ry(0.043070532367504924) q[1];
ry(-0.04475695876475132) q[2];
rz(0.6631600359423698) q[2];
ry(0.5756435583956447) q[3];
rz(-0.14283149628... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
2,
2,
1.75,
2,
2,
1.75,
2,
1.75,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
-0.5
] | 0.988667 | [
3.146586182667847,
-0.4960671937553839,
-0.1292922814490114,
-0.6985758714498361,
-0.04475695876475132,
0.6631600359423698,
0.5756435583956447,
-0.14283149628386937,
0.09442180069266345,
2.7246196860446945,
0.021535266183752462,
3.2207334379454498,
-1.152313102082496,
-0.5291711248863585,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 27 |
86ce82fb4aa0a4d560b88fd684f33bf2 | 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": 9}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 1, "target": 9}, {"source": 2, "target":... | {"states": [586, 590], "expectation_value": -6.0186414718468155, "params": [[1.5722, -0.0027, 0.0031000000000000003, 2.4097, 0.1562, 0.0023, 1.5681, -0.0027, 1.5726, 0.0027], [1.5638, -0.002, -0.0031000000000000003, 0.7279, 0.1169, -0.0023, 1.5682, 1.6139000000000001, 1.5633000000000001, -0.0027]], "bitstrings": ["0110... | 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + -1.5 * Z(9) + 0.0 * Z(0) + -1.0 * ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["0001011101", "0110110001", "0110100011"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.5266135278062385) q[0];
ry(-0.14147795644534558) q[1];
ry(0.06106888289408437) q[2];
ry(2.3621244400869448) q[3];
ry(0.24870874787480715) q[4];
ry(-0.013292370061055561) q[5];
ry(1.5394400561770945) q[6];
ry(-0.14147795644534558) q[7];
ry(1.5179556816620994) q[8];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIIIZ",
"ZIIIIIIIZI",
"ZIIZIIIIII",
"IIIZIIIIZI",
"IIZIIIIIZI",
"ZIIIIIIZII",
"IIIZIIIZII",
"IIZIIIIZII",
"IIIIIIZZII",
"IIZIIZIIII",
"IIIIIZZIII",
"IIIIZZIIII",
"IZIIZIIIII",
"ZIIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIZIIIIII",
"IIZIIIIIII",
"IIIIIIIZII",
"IIIIIIZIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-1,
-1,
-1.5,
-0.5,
-1,
-0.5,
0
] | 0.970906 | [
1.5266135278062385,
-0.14147795644534558,
0.06106888289408437,
2.3621244400869448,
0.24870874787480715,
-0.013292370061055561,
1.5394400561770945,
1.5179556816620994,
0.10377016762355751,
1.8935386645721142,
0.11260126765924022,
0.06559171075996663,
0.8786599481358969,
0.13407592754266834,... | {
"n_parameters": 18,
"n_qubits": 10,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 12 |
2245143298754336995 | hypermaxcut | qaoa | {"nodes": [0, 1, 2], "hyperedges": [[0, 1], [1, 2]]} | {"states": [2, 5], "expectation_value": -0.013723454297622423, "params": [[0.06720000000000001], [-0.051500000000000004]], "bitstrings": ["101", "010"], "total_optimization_steps": 10, "probabilities": [0.12843682528179212, 0.12843682528179212], "optimization_time": 0.8642611503601074} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) | 1 | 3 | 1 | {"smallest_eigenvalues": [-1.0, -1.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": 0.0, "smallest_bitstrings": ["101", "010"], "largest_eigenvalue": 1.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
ry(-0.5122372217821837) q[1];
h q[2];
cx q[2], q[1];
ry(0.5122372217821837) q[1];
cx q[2], q[1];
ry(-0.2798241359943986) q[1];
cx q[0], q[1];
ry(0.2798241359943986) q[1];
cx q[0], q[1];
ry(-0.5569148600950864) q[1];
ry(0.6458464053003141) q[0];
ry(1.2845... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
rz(x1) q[1];
rz(x1) q[0];
rz(x1) q[2];
h q[0];
rz(x2) q[0];
h q[0];
h q[1];
rz(x2) q[1];
h... | null | {"circuits": [], "gradients": []} | [
"IZZ",
"ZZI",
"IZI",
"IIZ",
"ZII"
] | [
0.5,
0.5,
0,
0,
0
] | 0.976885 | [
-1.0244744435643673,
1.2845550204423435,
-0.5596482719887972,
1.2916928106006282,
0.32478108876813516,
-0.5569148600950864,
0.17033568075660852,
-1.0924944856600827,
-0.4755571302567431
] | {
"n_parameters": 9,
"n_qubits": 3,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 10 |
fbd951d8e0967f93aa199e767c7a8404 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [71, 69], "expectation_value": -0.499584244629727, "params": [[-0.0234, -0.07150000000000001], [0.0097, 0.0627]], "bitstrings": ["0111000", "0111010"], "total_optimization_steps": 10, "probabilities": [0.009419556565443783, 0.009523866173778912], "optimization_time": 3.60785174369812} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * Z(1) + -1.0 * Z(0) + -1.5 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111010", "0111001"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.5300287133987427) q[0];
h q[1];
ry(-1.601201405582836) q[1];
rz(-pi) q[2];
ry(-0.004490021784035978) q[2];
rz(-pi) q[3];
ry(-0.004490021784035978) q[3];
h q[4];
ry(1.5300287133987427) q[4];
h q[5];
ry(-0.6154311923570868) q[5];
h q[6];
cx q[6], q[5];
ry(0.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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 ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIZII",
"IZIIIZI",
"IZIZIII",
"ZIIIIZI",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1,
-1.5,
-1.5,
-0.5,
-1,
-1.5
] | 0.993424 | [
-1.601201405582836,
-1.5801356018621757,
1.5300287133987427,
-1.2308623847141735,
0.7050686646935291,
-0.4688789932560197,
0.2589798163109108,
-0.32311162882807265,
0.24598881445691434,
-0.11293343308546688,
0.24318327711601848,
0.027923472377967398,
0.00969850656648575,
-0.036440781251569... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 1 |
9313084cc492e2aab2fbf1a94b6f25bf | 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": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [89, 93], "expectation_value": -4.97622261961587, "params": null, "bitstrings": ["10100110", "10100010"], "total_optimization_steps": 39, "probabilities": [0.4302002645041209, 0.431547027177787], "optimization_time": 39.66481614112854} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(1) @ Z(6)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["10100000", "10100010", "10110110", "10100110"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.5044872271921961) q[0];
h q[1];
ry(0.7817244421400541) q[1];
h q[2];
ry(-0.6384678543212984) q[2];
h q[3];
ry(0.38704973127573605) q[3];
h q[4];
ry(1.56196623503395) q[4];
cx q[4], q[1];
ry(-0.7817244421400541) q[1];
cx q[4], q[1];
cx q[1], q[2];
ry(0.6384... | 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(1.5706) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIZIZ",
"IIIIZIIZ",
"IZIIIZII",
"IZIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIIIIZI",
"IIZIZIII",
"IZZIIIII",
"IIIZIZII",
"IZIZIIII",
"IIIZIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIZIIIII",
"IIIZIIII"
] | [
-0.25,
-0.5,
-0.25,
-0.5,
1,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-1,
-0.25,
0.25,
-0.75,
0.5,
0,
0,
1.25
] | 0.974103 | [
1.56196623503395,
1.5634488842801082,
-1.0089744543843921,
1.3527550025587325,
-1.2769357086425968,
-0.7483517277935016,
0.40733913296322016,
0.7740994625514721,
-1.14380225088928,
0.24805613609596966,
-0.04051523267791764,
-0.7821264110959021,
0.5107849771464563,
-0.2823156684433042,
-0... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 18 |
5f46e3caaa931f446d5d37e76f941f6b | 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": 4}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6... | {"states": [126, 1], "expectation_value": -1.144662587193774, "params": [[-0.0204, -0.0374, -0.0568], [0.0039000000000000003, 0.034, 0.0589]], "bitstrings": ["0000001", "1111110"], "total_optimization_steps": 10, "probabilities": [0.012690658082232627, 0.01470167058387103], "optimization_time": 5.384442329406738} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(0)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(5)) + -1.0 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(2)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.5 ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-0.05661121897376136) q[0];
h q[1];
ry(-1.604518163982522) q[1];
h q[2];
ry(-1.604518163982522) q[2];
h q[3];
ry(-1.604518163982522) q[3];
h q[4];
ry(-1.604518163982522) q[4];
h q[5];
ry(-1.604518163982522) q[5];
h q[6];
ry(1.5022165539344468) q[6];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIZIIIZ",
"IZIIIZI",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"IIIIZZI",
"IIZIZII",
"IZIIZII",
"IIZZIII",
"ZIIZIII",
"IIIZZII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
-0.75,
-0.25,
-0.75,
-1.25,
2.5,
-0.75,
-0.75,
-1.25,
-1.25,
-1,
-0.25,
-1.25,
-0.75,
-0.25,
-0.5,
0.5,
1.5,
-1,
0.5
] | 0.997589 | [
1.5022165539344468,
-1.604518163982522,
-0.04577876357227252
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 1 |
da6f888553e0928bf84cb7c24eceee80 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 3, "source": 2, ... | {"states": [0, 127], "expectation_value": -1.644370633701279, "params": [[0.0391, 0.0603, 0.06960000000000001, 0.0804], [-0.0056, -0.0302, -0.047400000000000005, -0.06520000000000001]], "bitstrings": ["11111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.009756591709393372, 0.010016201871431738],... | -0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(4)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(3)) + 1.0 * Z(5) + -0.25 * Z(0) + -1.75 * Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["10000000", "11000000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.5177659963294788) q[0];
h q[1];
ry(-1.623404303532015) q[1];
h q[2];
ry(0.8202589649851039) q[2];
h q[3];
ry(0.7033685518814555) q[3];
h q[4];
ry(1.4889805032669121) q[4];
cx q[4], q[2];
ry(-0.8202589649851039) q[2];
cx q[4], q[2];
h q[5];
ry(0.84460063831... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIZIIIIZ",
"IIZIIIZI",
"IIIIIZZI",
"IIIZIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIZIIII",
"ZIIIZIII",
"IZZIIIII",
"IZIIIIZI",
"IZIZIIII",
"IZIIZIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII",
"IZIIIIII"
] | [
-0.25,
-0.75,
-0.5,
-0.75,
0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-0.5,
-1,
-0.75,
1,
-0.25,
-1.75,
1,
1.5,
-1.25,
-0.5,
0.25
] | 0.981536 | [
-1.623404303532015,
1.4889805032669121,
1.6405179299702077,
1.6168070806158488,
1.6892012766269737,
-1.0355319926589577,
1.0456182257691826,
1.406737103762911,
-0.7251973209355899,
0.22124766737700627,
-0.30348133941167,
0.18132166678998246,
-0.02893660445447417,
-0.06715041824588869,
0.... | {
"n_parameters": 21,
"n_qubits": 8,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 1 |
-3377230158569737351 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 1, 2], [0, 2, 3], [1, 2, 3]]} | {"states": [15, 13], "expectation_value": -0.5045278720823608, "params": [[[2.6401000000000003, 0.005200000000000001], [2.6295, 0.007200000000000001], [1.5377, 0.0054], [2.6367000000000003, 0.0011]]], "bitstrings": ["0000", "0010"], "total_optimization_steps": 270, "probabilities": [0.39810915820559306, 0.4253420405593... | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.3333333333333333 * Z(1) + 0.3333333333333333 * Z(0) + 0.5 * Z(2) + 0.3333333333333333 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-0.9999999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.6666666666666667, "smallest_bitstrings": ["0010"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rx(3.1443707940086885) q[0];
rz(0.49360030635063545) q[0];
rx(3.0710132463711464) q[1];
rz(0.24725127970815602) q[1];
rx(0.12064271336725979) q[2];
rz(0.5538159133732122) q[2];
rx(3.2200852544932936) q[3];
rz(-0.21334014452514571) q[3];
| OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[4] c;
qubit[4] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q[2];
rz(x5) q[2];
rx(x6) q[3];
rz(x7) q[... | null | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.5,
0.3333333333333333
] | 0.99452 | [
3.1443707940086885,
0.49360030635063545,
3.0710132463711464,
0.24725127970815602,
0.12064271336725979,
0.5538159133732122,
3.2200852544932936,
-0.21334014452514571
] | {
"n_parameters": 8,
"n_qubits": 4,
"optimal_eigenvalue": -0.9999999999999998,
"target_ratio": 0.97,
"target_value": -0.9699999999999998
} | 8 |
3b37ad6154eb4e67d2d2dbbac7bc63c9 | 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": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capac... | {"states": [0, 1], "expectation_value": -9.30553145573208, "params": [0.0033, 0.0085, 0.0025, 0.0097, 0.0026000000000000003, 0.0001, 0.0025, 0.0027, 0.0027, 0.0023, 0.0026000000000000003, 0.008400000000000001, 0.0024000000000000002, 0.0056, 0.0024000000000000002, 0.0043, 0.0028, 0.8528, 1.6079, 0.0008, 0.0007, -0.00310... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + -0.25 * (Z(9) @ Z(1)) + 2.25 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(2)) + -0.25 * (Z(9) @ ... | 4 | 10 | 1 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 13.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.24651892900338027) q[0];
rz(-0.02611339524679801) q[0];
rx(-0.08720750038353253) q[1];
rz(-0.22837279392176768) q[1];
rx(0.06986892087623345) q[2];
rz(-0.28365813621906444) q[2];
rx(-0.023102080197568476) q[3];
rz(-0.28390828318081596) q[3];
rx(0.00482774705185674... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IZIIIIIIIZ",
"IZIIZIIIII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"ZIIIZIIIII",
"ZZIIIIIIII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIZIIIIZI",
"IZIZIIIIII"... | [
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
2.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.75,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
1.5,
-0.25,
-1.25,
-0.5,
-0.75,
-1,
0.75,
0.25,
0,
1.25
] | 0.98196 | [
0.24651892900338024,
0.04962451481698661,
-0.08720750038353253,
-0.2686381492775718,
0.06986892087623346,
-0.3252021172121549,
-0.023102080197568473,
-0.3340835897969235,
0.004827747051856748,
-0.20402837193314885,
-0.00013363742941381249,
-0.14083589967920682,
0.024151235776961523,
-0.227... | {
"n_parameters": 84,
"n_qubits": 10,
"optimal_eigenvalue": -10.75,
"target_ratio": 0.97,
"target_value": -10.4275
} | 9 |
a6da0588e4f06076b5c2f06ef98c16c3 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [22, 23], "expectation_value": -2.751938188929623, "params": [[[-0.0021000000000000003, 1.0167000000000002, 0.0048000000000000004, 0.0041], [0.002, 0.9294, 1.4997, 0.008400000000000001], [1.5725, -0.0016, -1.5691000000000002, 0.004], [1.5772000000000002, -0.002, 1.5758, 0.0092], [0.3563, 0.001800000000000000... | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(0) @ Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(5) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(3) @ Z(6)) + -0.25 *... | 11 | 8 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.25, "smallest_bitstrings": ["10101001", "10101100", "10110001", "11011000", "11010001", "11101000", "11001010"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.6893829270649235) q[0];
rz(-0.15246847792251517) q[0];
rx(0.8054746318133343) q[1];
rz(-0.1838163856781594) q[1];
rx(0.4051055585965716) q[2];
rz(-0.22350801436726764) q[2];
rx(0.0026468023417618863) q[3];
rz(0.4052824277792104) q[3];
rx(-0.3718109169788402) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIZZIII",
"IIZIIIIZ",
"IZIIIIIZ",
"IZZIIIII",
"IZZIIIIZ",
"IIZIIIZI",
"ZIIIIIZI",
"ZIZIIIII",
"ZIZIIIZI",
"IIIIZZII",
"IZIIIZII",
"IZIIZIII",
"IZIIZZII",
"ZIIZIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.75,
-0.25,
-0.25,
-0.25,
-0.5,
0,
0,
-0.25
] | 0.983472 | [
0.6893829270649237,
-0.15421740938566555,
0.8054746318133343,
-0.21500998908504157,
0.40510555859657166,
-0.1561534392208339,
0.0026468023417618863,
0.26630454616751786,
-0.37181091697884017,
-0.029580537836861695,
-0.013845030580932005,
0.086408608200701,
0.9631530342970905,
0.09314220419... | {
"n_parameters": 69,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 12 |
ac8f6040a5bb03cdcb904dd06b95ed2a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "source": 2, "target": 4}, {"capacity": 2, "source": 4, ... | {"states": [0, 9], "expectation_value": -8.030659308519578, "params": [0.003, 1.1528, 0.0029000000000000002, 0.0007, 0.002, 1.8772, -0.0023, 0.0077, 0.0021000000000000003, 1.8518000000000001, -0.0024000000000000002, 0.0043, 0.0025, 1.6185, -0.0024000000000000002, 0.007500000000000001, 0.9723, 2.8927, -0.7743, 0.0039000... | -0.75 * (Z(0) @ Z(2)) + 1.0 * (Z(7) @ Z(0)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(7) + 3.5 * Z(4) + -1.2... | 6 | 8 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -7.5, "smallest_bitstrings": ["10000000", "11100000", "11010100", "11010000", "11000100", "11000000", "10110000", "10100000", "10010000", "11110000... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7386445555225505) q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(1.699357435260052) q[4];
h q[5];
ry(0.7857912315345207) q[5];
h q[6];
ry(0.7952068497622999) q[6];
cx q[4], q[6];
ry(-0.7952068497622999) q[6];
cx q[4], q[6];
cx q[6], q[5];
ry(-0.7857912315345207)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"ZIIIIIIZ",
"IIIZIZII",
"ZIIZIIII",
"IIIZIIZI",
"IIIZZIII",
"IIZZIIII",
"IIZIIIZI",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"IIIIIZII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.75,
1,
-0.75,
-1,
-0.5,
-1.25,
-0.25,
-0.75,
-1.25,
-1.25,
-0.75,
-1.25,
-0.25,
0,
3.5,
-1.25,
-1.25,
-0.25,
0.75
] | 0.970151 | [
1.699357435260052,
1.5904136995245999,
1.6413495966824776,
-1.477289111045101,
1.5715824630690414,
-0.34092506407667983,
-1.075228145254072,
0.3564144742520738,
0.28922954353875785,
0.4885601712472523,
0.1255007105163221,
0.21953165800446972,
-0.743637569163143,
0.48812527030861697,
-1.0... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 15 |
-1937131280463688888 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 6], [9, 5], [0, 1, 2, 3, 5, 8], [3, 4, 7, 10, 11], [0, 1, 4, 7, 8, 11], [10, 6], [9, 11], [8, 10, 3, 5], [0, 2, 3, 4, 6, 9], [0, 6, 7], [1, 10, 11, 5], [0, 3, 5, 7, 8, 11], [9, 7], [0, 1, 2, 3, 8, 9, 10], [0, 2, 5, 7, 8, 10, 11], [0, 1, 4, 7, 8, 10]]} | {"states": [4081, 2033], "expectation_value": -4.352280779823316, "params": [2.9765, -0.8142, 2.1365000000000003, -0.0024000000000000002, 2.1853000000000002, -0.0026000000000000003, 2.395, -0.0028, 2.5957000000000003, -0.003, 2.7435, 0.0021000000000000003, 2.9936000000000003, -0.003, 3.1444, -0.0035, -0.0028, 0.8102, 0... | 0.5 * (Z(8) @ Z(6)) + 0.03333333333333333 * (Z(9) @ Z(6)) + 0.023809523809523808 * (Z(9) @ Z(8)) + 0.1738095238095238 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(9)) + 0.19999999999999998 * (Z(0) @ Z(6)) + 0.18095238095238095 * (Z(0) @ Z(8)) + 0.05714285714285714 * (Z(0) @ Z(9)) + 0.09047619047619047 * (Z(0) @ Z(5)) + 0.12380952... | 4 | 12 | 1 | {"smallest_eigenvalues": [-4.492857142857142], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.476190476190475, "smallest_bitstrings": ["100000001110"], "largest_eigenvalue": 13.499999999999995} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(2.9855584659880794) q[0];
rz(0.7933571278183562) q[0];
rx(2.1324748843313386) q[1];
rz(1.5929743050319285) q[1];
rx(2.39123760700797) q[2];
rz(1.6706138462360354) q[2];
rx(2.2135754582982083) q[3];
rz(1.6417639713274106) q[3];
rx(2.322298466824093) q[4];
rz(1.412938... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIZIZIIIIII",
"IIZIIZIIIIII",
"IIZZIIIIIIII",
"IIIZIIZIIIII",
"IIZIIIZIIIII",
"IIIIIZIIIIIZ",
"IIIZIIIIIIIZ",
"IIZIIIIIIIIZ",
"IIIIIIZIIIIZ",
"IIIZIIIIIIZI",
"IIZIIIIIIIZI",
"IIIIIIZIIIZI",
"IIIIIIIIIIZZ",
"IIIIIZIIIZII",
"IIIZIIIIIZII",
"IIZIIIIIIZII",
"IIIIIIZIIZII",
"IIIIIIIII... | [
0.5,
0.03333333333333333,
0.023809523809523808,
0.1738095238095238,
0.5,
0.19999999999999998,
0.18095238095238095,
0.05714285714285714,
0.09047619047619047,
0.12380952380952381,
0.023809523809523808,
0.11666666666666667,
0.12380952380952381,
0.03333333333333333,
0.08095238095238094,
0.... | 0.972003 | [
2.9855584659880794,
-0.7774391989765406,
2.1324748843313386,
0.022177978237032478,
2.39123760700797,
0.09981751944113895,
2.2135754582982083,
0.07096764453251346,
2.322298466824093,
-0.15785832562187627,
2.898120550842566,
0.11579212745554812,
2.9872985370327236,
3.1348778349561917,
-0.2... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -4.492857142857142,
"target_ratio": 0.97,
"target_value": -4.358071428571428
} | 2 |
803276a777b6ec2f65b92e64949dd4f0 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": ... | {"states": [143, 135], "expectation_value": -17.803336340078705, "params": null, "bitstrings": ["1101110000", "1101111000"], "total_optimization_steps": 100, "probabilities": [0.18182573394383436, 0.19289553944911295], "optimization_time": 194.83759140968323} | -3.0 * (Z(0) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(0)) + -3.0 * (Z(6) @ Z(3)) + -3.5 * (Z(6) @ Z(0)) + 1.5 * (Z(6) @ Z(4)) + 1.0 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + -3.5 * (Z(1) @ Z(6)) + -3.5 * (Z(5) @ Z(3)) + 1.5 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(4)) + -3.5 * (Z(5) @ Z(6)) + -3.... | 5 | 10 | 1 | {"smallest_eigenvalues": [-37.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.5, "smallest_bitstrings": ["1101111000"], "largest_eigenvalue": 34.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.5355832492014104) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.3128776199268214) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.5355832492014104) q[4];
cx q[0], q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(0.5355832492014104... | null | {"node": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIZIIZIII",
"IIIZIIIIIZ",
"IIIZIZIIII",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIZIIIIZI",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIIZIIIZI",
"IZZIIIIIII",
"IZIIIIIZII",
"IIZIIIIZII",
"ZZIIIIIIII",
"ZIZIIIIIII"... | [
-3,
1,
-3,
-3,
-3.5,
1.5,
1,
1,
-2.5,
-3.5,
-3.5,
1.5,
-3.5,
-3.5,
-3,
-1.5,
-2,
-2,
0.5,
0.5,
-2,
-2,
1.5,
1,
-2.5,
1.5,
-2.5,
0.5,
0.5,
0.5,
0.5
] | 0.568701 | [
0.5355832492014104,
0.3128776199268214,
0.4701458484266868,
0.3463986549924006,
0.7177270089472799,
1.2240145629974246,
0.8160185914655327,
0.10087803803075286,
1.0916096411102334
] | {
"n_parameters": 9,
"n_qubits": 10,
"optimal_eigenvalue": -37.5,
"target_ratio": 0.97,
"target_value": -36.375
} | 226 |
e33d6f1fc62bdc37a895a648cbf909d1 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "ta... | {"states": [0, 112], "expectation_value": -17.00420383773097, "params": [-0.9206000000000001, -0.8678, -0.0024000000000000002, -0.0024000000000000002, -0.0023, -0.0022, -0.0021000000000000003, -0.0025, -0.0073, 0.0024000000000000002, -0.0027, -0.0026000000000000003, -0.0054, -0.00030000000000000003, -1.6598000000000002... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(3)) + -2.5 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z(5) + 1.5 * Z(3) + -2.0 * Z(6) + 1.5 * Z(4) | 14 | 7 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["0001111"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.172440072829037) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.172440072829037) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.031941857226234216) q[1];
rx(-1.103507315488369) q[1];
rz(-1.172440072829037) q[2];
cx q[0], q[2];
rz(0.0319... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IZIZIII",
"ZZIIIII",
"ZIIZIII",
"IZZIIII",
"IIZZIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIIZIII",
"ZIIIIII",
"IIZIIII"
] | [
-1.5,
-1.5,
-1.5,
-2.5,
-2.5,
-2.5,
-2.5,
1,
-2.5,
0.5,
0.5,
0.5,
-2,
1.5,
-2,
1.5
] | 0.684074 | [
-1.172440072829037,
-0.753228570136881,
-0.460136997912491,
0.031941857226234355,
-0.1475340401282707,
0.13187821518191614,
-1.1035073154883688
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 201 |
-1756150488099078676 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 5], [0, 8, 6], [8, 5], [3, 5], [8, 1], [0, 1], [3, 6, 7], [0, 4, 7], [8, 2, 4], [1, 5, 7], [1, 3]]} | {"states": [291, 355], "expectation_value": -0.01515126941103468, "params": [[-0.0322], [0.025500000000000002]], "bitstrings": ["011011100", "010011100"], "total_optimization_steps": 10, "probabilities": [0.0020035050818153063, 0.0020057276807660717], "optimization_time": 7.635042905807495} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(8)) + 0.5 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(1) @ Z(3)) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.000000000000001, "smallest_bitstrings": ["010011100"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(1.514570450550115) q[0];
h q[1];
ry(-0.691463354346018) q[1];
cx q[0], q[1];
ry(0.691463354346018) q[1];
cx q[0], q[1];
ry(0.05968915564596869) q[0];
ry(-0.056031112689488634) q[1];
h q[2];
h q[3];
ry(1.5777707456165944) q[3];
h q[4];
ry(-0.3772929696035751) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[5], q[8];
rz(x0) q[8];
cx q[5], q[8];
cx q[0], q[8];
rz(x1) ... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIIZ",
"ZIIZIIIII",
"ZIIIIIIIZ",
"IIZIIIIIZ",
"ZIZIIIIII",
"IIIZIZIII",
"IIZIIZIII",
"IIIZIIIZI",
"IIIIIIIZZ",
"ZIIIIIIZI",
"IIIIIZIZI",
"IZIZIIIII",
"IZIIIIIIZ",
"IZZIIIIII",
"IZIIIZIII",
"IZIIIIIZI",
"IIIIZIIIZ",
"ZIIIZIIII",
"IZIIZIIII",
"ZIIIIIZII",
"IIIIZIZII",
"... | [
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
... | 0.987609 | [
1.386764996927877,
1.494662017546108,
-1.4547799784846893,
1.514570450550115,
-1.382926708692036,
1.5777707456165944,
-1.1617456311010173,
0.12390850089075546,
-0.1683001305081902,
-0.7545859392071502,
-0.3102212977892336,
-0.4507245682834085,
0.5954525996478397,
-0.5036702079949291,
0.4... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -4.333333333333333,
"target_ratio": 0.97,
"target_value": -4.203333333333333
} | 1 |
-6344998954620906062 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 5], [3, 4], [2, 4], [1, 3], [0, 4], [0, 2]]} | {"states": [26, 37], "expectation_value": -0.04360479609786677, "params": [[-0.054900000000000004], [0.0673]], "bitstrings": ["100101", "011010"], "total_optimization_steps": 10, "probabilities": [0.016552929398939174, 0.016552929398939174], "optimization_time": 0.42788195610046387} | 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["110011", "100101", "010011", "101100", "001100", "011010"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.7668300703268413) q[1];
h q[2];
h q[3];
h q[4];
ry(-0.2731847167223534) q[4];
cx q[3], q[4];
ry(0.2731847167223534) q[4];
cx q[3], q[4];
ry(-0.04452627721237015) q[4];
cx q[0], q[4];
ry(0.04452627721237015) q[4];
cx q[0], q[4];
ry(-0.36181430091057... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[2], q[4];
rz(x0) q[4];
cx q[2], q[4];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[3], q[1];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"ZIIZII",
"IZIZII",
"IZZIII",
"IIZIZI",
"IIIZIZ",
"IZIIIZ",
"ZIIIII",
"IIIZII",
"IZIIII",
"IIZIII",
"IIIIZI",
"IIIIIZ"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.976812 | [
-0.5463694334447068,
1.2757252918586097,
-0.7047075862414116,
-0.0890525544247403,
1.4880648069238833,
-1.5336601406536825,
-0.7236286018211424,
0.23178839298095621,
0.11073450842760946,
-0.36869917826307413,
-0.36822435128494124,
-0.6404027924684368,
0.3683112816576305,
0.0931143961978571... | {
"n_parameters": 32,
"n_qubits": 6,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 18 |
887595949ae6925e33a681a58519a274 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [15642, 15674], "expectation_value": -47.109138475064825, "params": [0.1738, 0.3912, 0.1816, 0.4017, 0.9824, 0.1468, 0.7855000000000001, 0.0059, 0.7843, 0.0017000000000000001, 0.5141, 0.0056, -0.006200000000000001, 0.7524000000000001, 0.7852, 0.0049, 0.0034000000000000002, 0.7399, 0.0015, 0.6852, 0.411900000... | 2.0 * (Z(2) @ Z(3)) + 2.0 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(2)) + -1.0 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(2)) + -0.5 * (Z(8) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + -1.0 * (Z(6) @ Z(8)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(9) @ Z(3)) + -0.5 * (Z(9) @ Z(2)) + -0.5 * (Z(9) @ Z(4)) + 1.0 * (Z(9) @ Z(8)) + -0.5 * (Z(9) @ Z(5)) + -1.... | 16 | 16 | 4 | {"smallest_eigenvalues": [-48.74999999999992], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -48.74999999999929, "smallest_bitstrings": ["1100001011000101"], "largest_eigenvalue": 170.25000000000003} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.13984682369290952) q[0];
rz(1.5938811126123158) q[0];
ry(0.7610427262618326) q[1];
rz(0.07031768406246493) q[1];
cz q[1], q[0];
ry(0.3140276442107706) q[0];
rz(0.7636300721559677) q[0];
ry(-1.0156869910184512) q[1];
ry(0.4264636834722848) q[2];
rz(0.0552000000090... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZZIII",
"IIIIIIIIIIIZIZII",
"IIIIIIIZIIIIZIII",
"IIIIIIIZIIIIIZII",
"IIIIIIIZIIIZIIII",
"IIIIIIIZIIZIIIII",
"IIIIIIIZIZIIIIII",
"IIIIIIIIIZZIIIII",
"IIIIIIZIIIIIZIII",
"IIIIIIZIIIIIIZII",
"IIIIIIZIIIIZIIII",
"IIIIIIZZIIIIIIII",
"IIIIIIZIIIZIIIII",
"IIIIIIZ... | [
2,
2,
1,
-1,
-0.5,
-0.5,
-0.5,
-1,
2,
-1,
-0.5,
-0.5,
1,
-0.5,
-1,
-0.5,
0.5,
1,
-0.5,
1,
0.5,
0.5,
-0.5,
-0.5,
1,
0.5,
0.5,
-0.5,
-0.5,
0.25,
1,
0.5,
0.5,
-0.5,
-0.5,
-1,
-0.5,
0.5,
0.5,
2,
1,
1,
-1,
-1,
-2,
-1,
1,
1,
2... | 0.973359 | [
-0.13984682369290952,
1.5938811126123158,
0.7610427262618326,
0.07031768406246493,
0.4264636834722848,
0.05520000000902982,
0.7598598941311168,
-0.005774750135631135,
0.5747719579600107,
0.05223522100477087,
-0.036998059032669756,
1.8760773287378025,
0.023285197553815994,
0.457270073551858... | {
"n_parameters": 126,
"n_qubits": 16,
"optimal_eigenvalue": -48.74999999999992,
"target_ratio": 0.97,
"target_value": -47.28749999999992
} | 20 |
f2268dbc2cd9e9d8be6517cd34bc9399 | max_flow | qaoa | {"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": [255, 239], "expectation_value": -14.377317109718112, "params": [[-0.0942, 0.022500000000000003], [0.129, 0.1539]], "bitstrings": ["00000000", "00010000"], "total_optimization_steps": 20, "probabilities": [0.01846633690171163, 0.018737078221417396], "optimization_time": 3.637453317642212} | 0.5 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + 1.5 * (Z(7) @ Z(5)) + 1.5 * (Z(7) @ Z(4)) + 3.0 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + 1.0 * (Z(2) @ Z(4)) + 0.8333333333333334 * (Z(2) @ Z(0)) + 1.6666666666666667 * (Z(2) @ Z(1)) + 3.5 * Z(5) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-26.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.000000000000004, "smallest_bitstrings": ["00010000"], "largest_eigenvalue": 54.83333333333333} | 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];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIZZIIII",
"IZZIIIII",
"IZIZIIII",
"ZIZIIIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIZIIIZ",
"IIIZIIZI",
"IIIIIIZZ",
"IIIZIZII",
"IIIIIZIZ",
"IIIIIZZI",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII"
] | [
0.5,
1,
1,
1.5,
1.5,
3,
0.5,
1,
0.8333333333333334,
1,
0.8333333333333334,
1.6666666666666667,
3.5,
6.5,
7,
10.5,
2.5833333333333335,
5.166666666666667,
5.166666666666667,
-0.08333333333333333
] | 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 |
e8fdec38f32f10530d269f6547919d57 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 2}, {"weight": 19, "source": 1, "target": 3}, {"weight": 6... | {"states": [183, 118], "expectation_value": -33.950966076078274, "params": [[-0.0284, -0.013800000000000002, -0.002, 0.0162], [0.05, 0.058100000000000006, 0.0698, 0.0712]], "bitstrings": ["01001000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.01871041215864762, 0.01996264176915709], "optimization_... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(1)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-69.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 157.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.17949889982137707) q[0];
h q[1];
ry(-0.14797600783105308) q[1];
h q[2];
ry(1.6432224921298026) q[2];
h q[3];
cx q[3], q[0];
ry(0.17949889982137707) q[0];
cx q[3], q[0];
ry(0.8547520083356644) q[0];
h q[4];
cx q[4], q[1];
ry(0.14797600783105308) q[1];
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": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
10.5,
8,
13.5,
20,
10,
17,
17,
8.5
] | 0.972171 | [
-0.29595201566210616,
-0.35899779964275413,
1.6432224921298026,
0.9033872731020592,
-0.4118355892285082,
0.7485108173051358,
-0.3753867049038224,
-0.10690644632358749,
0.32912167940678394,
-0.21107854551076083,
0.6268900816335382,
-0.009865066915267423,
0.06148966405270589,
0.2832723267589... | {
"n_parameters": 55,
"n_qubits": 8,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 50 |
cd9ed43dca2281b8ed4505f89be4ca33 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [84, 92], "expectation_value": -3.2900303126485833, "params": [[[0.0026000000000000003, 0.0029000000000000002, 0.004, 0.0097], [1.0472000000000001, 0.0027, 1.0516, 0.006], [0.0021000000000000003, 0.0079, 0.0004, 0.001], [1.0487, -0.0027, 1.0508, 0.008], [1.5982, 0.0056, 0.0063, 0.005200000000000001], [0.3821... | 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(1) @ Z(4)) + 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)... | 12 | 8 | 1 | {"smallest_eigenvalues": [-3.8125, -3.8125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.8125, "smallest_bitstrings": ["10100011", "11000011"], "largest_eigenvalue": 6.1875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.027079035757488726) q[0];
rz(pi/2) q[0];
ry(1.1805527107761589) q[1];
ry(0.7567395625670771) q[2];
ry(0.3541237855918767) q[3];
ry(1.1805527107761589) q[4];
ry(0.6971051288564791) q[5];
ry(0.34001410039206165) q[6];
ry(-0.2767563674384478) q[7];
cx q[7], 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] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"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,
0.5,
0.25,
0.25,
0.25,
-0.25,
... | 0.971836 | [
0.027079035757488726,
1.1805527107761589,
0.7567395625670771,
0.3541237855918767,
0.6971051288564791,
0.34001410039206165,
-0.2767563674384478,
-0.47027993140912017,
-0.528855871322581,
-0.024195757145103747,
0.5170660872484818,
0.2910432841387032,
0.5183739271290928,
0.7124322484806026,
... | {
"n_parameters": 62,
"n_qubits": 8,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 50 |
92e0d9744e7b0376f2c61fec7a621b77 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 4}, {"weight": 1, "... | {"states": [1945, 1689], "expectation_value": -0.13334805320778143, "params": [0.2189, 0.22210000000000002, 0.3047, 0.309, 0.2736, 0.27640000000000003, 0.2531, 0.2549, 0.2901, 0.2932, 0.25980000000000003, 0.2656, 0.18510000000000001, 0.1855, 0.3274, 0.3285, 0.2853, 0.2904, 0.2687, 0.274, 0.20770000000000002, 0.2015, 0.... | 0.25 * (Z(0) @ Z(1)) + -0.001020408163265306 * (Z(2) @ Z(0)) + -0.001020408163265306 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.000510204081632653 * (Z(4) @ Z(0)) + -0.001020408163265306 * (Z(4) @ Z(2)) + 0.000510204081632653 * (Z(5) @ Z(1)) + -0.001020408163265306 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0010204081... | 13 | 12 | 3 | {"smallest_eigenvalues": [-1.514795918367347, -1.514795918367347], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5107142857142857, "smallest_bitstrings": ["011010011001", "100101100110"], "largest_eigenvalue": 1.5158163265306126} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.5133697055041112) q[0];
h q[1];
ry(1.6084249374386541) q[1];
h q[2];
ry(1.6084249374386541) q[2];
ry(-0.053550572212937055) q[3];
rz(-pi) q[3];
ry(-0.053550572212937055) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.5133697055041112) q[0];
cx q[5], q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.001020408163265306,
-0.001020408163265306,
0.25,
0.000510204081632653,
-0.001020408163265306,
0.000510204081632653,
-0.001020408163265306,
0.25,
-0.001020408163265306,
0.0011479591836734695,
0.0007653061224489796,
-0.001020408163265306,
0.0011479591836734695,
0.00076530612244897... | 0.992524 | [
-1.5021443221766975,
1.6084249374386541,
-1.0267394110082224,
0.7506936281381614,
-0.5870557688839062,
0.4771553588124247,
-0.38953925180142007,
0.19253854567295237,
0.02981104842832527,
0.18877927704919473,
0.13517748060633164,
-0.03020286481052407,
-0.11241436734008918
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
b1b59d51af8d5ffde35a550fbcfeb6e8 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [485, 229], "expectation_value": -84.95128257425233, "params": [0.0067, 0.3549, 0.0032, 0.4605, -0.0012000000000000001, -0.3045, 0.3804, 0.1396, 0.6032000000000001, 0.0047, 0.6027, -0.0008, 0.6047, 0.08900000000000001, 0.3841, 0.167, -0.0046, 0.2807, 0.5966, 0.1033, 0.2705, 0.2114, 0.6032000000000001, 0.1853... | 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(3) @ Z(5)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(2) @ Z(6)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(8) @ Z(4)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(10) @ Z(5)) + 8.0 * (Z(10) @ Z(9)) + 8.0 * (Z(0) @ Z(11)) + 15.0 * Z(5) + 17.5 * Z(4) + 4.5 * Z(3) + 6.5 * Z(6) + -5.0 * Z(2) + 5.0 * Z(7) + -3.5 * Z(8) + 10... | 18 | 12 | 4 | {"smallest_eigenvalues": [-130.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -119.5, "smallest_bitstrings": ["111100011010"], "largest_eigenvalue": 147.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.1659420330981873) q[0];
rz(0.6486450762686058) q[0];
rx(-0.046337966909809805) q[1];
rz(0.42024654293883223) q[1];
rx(-0.025212943494527594) q[2];
rz(-0.31101971586989824) q[2];
rx(0.13914282773271364) q[3];
rz(-0.0627366944665561) q[3];
rx(1.0244644687943996) 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] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIIIZZIII",
"IIIIIZIIIZII",
"IIIIZZIIIIII",
"IIIZIIIZIIII",
"IIZIZIIIIIII",
"IZIIIIZIIIII",
"IZZIIIIIIIII",
"ZIIIIIIIIIIZ",
"IIIIIIZIIIII",
"IIIIIIIZIIII",
"IIIIIIIIZIII",
"IIIIIZIIIIII",
"IIIIIIIIIZII",
"IIIIZIIIIIII",
"IIIZIIIIIIII",
"IIZIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
15,
17.5,
4.5,
6.5,
-5,
5,
-3.5,
10,
1.5,
2,
-3.5,
-14.5
] | 0.97688 | [
-0.16594203309818728,
0.4359538261267933,
-0.046337966909809805,
0.42024654293883223,
-0.025212943494527594,
-0.31101971586989824,
0.13914282773271364,
-0.0627366944665561,
1.0244644687943996,
-0.09394331866786548,
0.9771202241146852,
0.34872302739390243,
0.7979808512393782,
0.180990562084... | {
"n_parameters": 134,
"n_qubits": 12,
"optimal_eigenvalue": -130.5,
"target_ratio": 0.97,
"target_value": -126.585
} | 13 |
b4844a241e7c75ea7eb690acd3c4c004 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [4, 1], "expectation_value": -0.03297321074842907, "params": [[0.030000000000000002, 0.0521], [-0.0196, -0.0383]], "bitstrings": ["011", "110"], "total_optimization_steps": 10, "probabilities": [0.1278047459055971, 0.12780474590559712], "optimization_time": 2.059030771255493} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) | 1 | 3 | 2 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "101", "011"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) q[0];
| OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx... | null | {"circuits": [], "gradients": []} | [
"IZZ",
"ZZI",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5
] | 0.999879 | [
-0.13358933430461783,
0.05925579854844312,
0.1941292476304146,
-0.0004540644499549003,
-0.07413458086647713,
0.10747849798655963
] | {
"n_parameters": 6,
"n_qubits": 1,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 1 |
0cd8bae9f3ba09d5e5d6ac36ba1aa2d4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [1, 65], "expectation_value": -0.3891949954454109, "params": [[0.0309, 0.0766], [-0.002, -0.0594]], "bitstrings": ["111111110", "110111110"], "total_optimization_steps": 10, "probabilities": [0.002715217345890755, 0.0027153903567063427], "optimization_time": 4.099185228347778} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(6)) + 1.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(7)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.0, "smallest_bitstrings": ["110101010", "110111110", "111111110", "111101010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.23733041828786886) q[0];
ry(-0.6689264302586558) q[1];
rz(-pi) q[1];
h q[2];
ry(-0.6689264302586558) q[3];
rz(-pi) q[3];
h q[4];
ry(-0.20884722359973915) q[5];
rz(-pi) q[5];
h q[6];
ry(0.6665505976609354) q[6];
ry(-0.17228866328763726) q[7];
rz(-pi) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIIIIIZZI",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"ZIIIIIZII",
"IIIZIZIII",
"IZIIIZIII",
"IIIZZIIII",
"IIZIZIIII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIZIIIII",
"IIZIIIIII",
"IIIIIIZII",
"... | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
1.75,
-0.25,
-0.25,
-0.5,
-1,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
0.25,
0.5,
0,
-1.25,
0.75,
0,
0.25
] | 0.971887 | [
-1.2073675314355201,
-0.4746608365757377,
1.7310739516609295,
-1.252421001575336,
-1.2953051354342926,
-0.005658193317766055,
1.3331011953218708,
1.4170028832734343,
-0.04560731809502762,
0.09290518136985806,
-0.19555665932058916,
-0.0960487809743433,
-1.7440528144016616,
-0.39572269317097... | {
"n_parameters": 29,
"n_qubits": 9,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 29 |
c0497b20d0e680cacc77174a13e8b8b4 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [98, 35], "expectation_value": -3.007115587417791, "params": [[[1.5852000000000002, 0.0028], [1.6114000000000002, -0.0028], [0.1849, -0.0026000000000000003], [0.0017000000000000001, -0.0017000000000000001], [-0.1096, 0.1257], [0.6056, -0.5962000000000001], [1.5878, 1.5827]]], "bitstrings": ["0011101", "10111... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(6) + 0.0 * Z(0) + -1.5 * Z(3) + -0.5 * Z(1) + -1.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 15 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["1011100", "0011101", "0111001", "1001110", "0001111", "0101011"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(-0.0034026311700899) q[1];
cx q[3], q[1];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(-0.0034026311700899) q[0];
cx q[6], q[0];
rz(0.08707718680774468) q[0];
rx(1.6068609355902328) q[0];
cx q[6], q[4];
rz(-0.00340263117008... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZ",
"IIIZIZI",
"ZIZIIII",
"IIZZIII",
"IIZIIZI",
"IIIZZII",
"IZIZIII",
"IZIIZII",
"ZIIIIII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IIIIZII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1.5,
-0.5,
-1,
-0.5,
-0.5
] | 0.970369 | [
-0.0034026311700899,
-0.26301475790782497,
0.08707718680774458,
1.5595170852256997,
1.5988629064548665,
1.6068609355902328,
-1.5706328661308941,
1.6822012540344695,
-0.1845861633258411,
1.1352603352915303,
0.43534770012848195,
-0.05375233225482663,
-0.1953687365154703,
3.189745870967778,
... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 166 |
dddd2c6c503a97ade6b445e6815c4f85 | 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": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3... | {"states": [3, 1], "expectation_value": -1.251837019998385, "params": [[-0.053500000000000006], [0.065]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.010705511350013542, 0.012092586643965567], "optimization_time": 2.1096556186676025} | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(1)) + 4.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -4.5 * Z(2) + -0.2... | 1 | 7 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.3835829982735985) q[0];
h q[1];
ry(-0.23054234387346784) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.6609807137639119) q[3];
h q[4];
ry(-1.6609807137639119) q[4];
h q[5];
h q[6];
ry(1.5858095443127922) q[6];
cx q[6], q[0];
ry(0.3835829982735985) q[0];
cx q[6], q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IIIZIZI",
"IIZIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII"
] | [
-1.5,
-1,
-1,
-0.5,
-1.5,
-1,
-0.5,
-1.25,
-1.5,
-0.5,
-0.75,
4.25,
-0.25,
-4.5,
-0.25,
1,
-0.5,
0,
0.25,
4
] | 0.980551 | [
-1.4098882403195747,
1.5858095443127922,
-0.767165996547197,
-0.5539265111555969,
0.13926851479629185,
-0.11045327377191261,
-0.34994570639390055,
-1.6609807137639119,
-0.0033508676810675153,
-0.2813424644813915,
1.1199313195889984,
1.411419348927798,
-0.0019517279154879635,
0.706605540424... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 23 |
88d08310cecbc7a3e83627c144340291 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [374, 1398], "expectation_value": -1.9232720627203501, "params": [0.27190000000000003, 0.2723, 0.1845, 0.1847, 0.3975, 0.39430000000000004, 0.1267, 0.1278, 0.39480000000000004, 0.39640000000000003, 0.2763, 0.2731, 0.3929, 0.3902, 0.19110000000000002, 0.1915, 0.4038, 0.40490000000000004, 0.3996, 0.3975, 0.005... | 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(... | 14 | 11 | 3 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.8125, "smallest_bitstrings": ["01010100001", "00110001001", "01000110001", "10000011001", "01010000011", "01010001001", "10010001001"], "largest_eigenvalue": 6.1875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-2.9786226600788224) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.5862529058258308) q[1];
ry(-3.0772749082534916) q[2];
rz(-pi) q[2];
ry(-0.09588909131010206) q[3];
rz(-pi) q[3];
h q[4];
ry(1.363189241285378) q[4];
cx q[4], q[3];
ry(0.016943517083634098) q[3];
cx q[4], q[3];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIIIZZIIZ",
"IIIIIZIZIIZ",
"IIIIIZZIIIZ",
"IIIIIZZZIII",
"IIIIIZZZIIZ",
"IIIIZIIZIII",
"IIIIIIZIIZI",
"IIIZIIIIIZI",
"IIZIIIIII... | [
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,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,... | 0.997697 | [
-1.5862529058258308,
-1.4579637184011605,
1.5122669325225266,
1.363189241285378,
-0.033887034167268196,
0.08927418399709541,
0.2053114497415538,
-0.011576702127863644,
-0.023112710619505164,
-0.019905775115862053,
-0.055608789341867165
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 1 |
b2c25a19a038d07471a5450910ba4971 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [6, 12], "expectation_value": -1.9116322463073194, "params": null, "bitstrings": ["11001", "10011"], "total_optimization_steps": 18, "probabilities": [0.06012643125650563, 0.7888196926426534], "optimization_time": 11.11500072479248} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) + -1.0 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["01101", "10011", "11001", "00111", "01110"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.016234704253647998) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-0.010386543699948906) q[1];
h q[2];
h q[3];
ry(1.1585700450953158) q[3];
h q[4];
ry(-0.5085847075913551) q[4];
cx q[2], q[4];
ry(0.5085847075913551) q[4];
cx q[2], q[4];
ry(-0.2519288651435193) q[4];
cx q[3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIZIZ",
"IZIZI",
"ZIZII",
"ZZIII",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-0.5,
-0.5,
-1
] | 0.987557 | [
-1.6083798548905424,
-1.580119373751702,
1.1585700450953158,
-1.0171694151827102,
0.8689899356169645,
-0.5038577302870386,
0.5447428831437316,
0.28835851723029476,
-0.27941569527661547,
-0.0021269934862870876,
0.08523768570425198,
-0.12057589076085368,
0.1076364646985875,
0.109842316070757... | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
497ee7bf44af41c8b30000bed1ee6591 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, ... | {"states": [80, 37], "expectation_value": -1.400061501345252, "params": [[-0.051800000000000006, -0.0538, -0.057300000000000004], [0.0698, 0.0618, 0.0601]], "bitstrings": ["0101111", "1011010"], "total_optimization_steps": 10, "probabilities": [0.012527920276060544, 0.013980277928003208], "optimization_time": 9.8242592... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -2.0 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["1011010"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(-0.050282712528339664) q[0];
rz(0.3819994313632922) q[0];
rx(0.7278983687254371) q[1];
rz(0.26595169645320116) q[1];
rx(1.0710332974474701) q[2];
rz(0.10802912403681283) q[2];
rx(0.7917834020909341) q[3];
rz(0.008618002309822284) q[3];
rx(0.6737907487059026) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIIIZZI",
"IIIZZII",
"IIZIZII",
"IZIZIII",
"IZZIIII",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIZII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-2,
-1.5,
-2,
-1.5,
-0.5
] | 0.972317 | [
-0.050282712528339664,
0.5010991574351781,
0.7278983687254371,
0.26595169645320116,
1.0710332974474701,
0.10802912403681283,
0.7917834020909341,
0.008618002309822284,
0.6737907487059026,
-0.018196290142947116,
0.7405529885929926,
-0.015136811624490466,
0.977292248982019,
0.1120789656178997... | {
"n_parameters": 150,
"n_qubits": 13,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 23 |
784a487c10203231b0c4f931332f9c04 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [111, 109], "expectation_value": -81.8486066024225, "params": [-0.002, -0.0001, 0.1854, 0.1736, 0.4974, 0.4923, 0.4793, 0.48910000000000003, 0.2597, 0.24300000000000002, 0.48900000000000005, 0.48900000000000005, 0.48050000000000004, 0.4731, 0.31980000000000003, 0.2791, 0.30970000000000003, 0.2918, -0.0044, 0... | 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(5) @ Z(1)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(5) @ Z(8)) + 7.0 * (Z(5) @ Z(7)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(6) @ Z(8)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(6) @ Z(5)) + 7.5 * Z(1) +... | 14 | 9 | 3 | {"smallest_eigenvalues": [-111.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -105.5, "smallest_bitstrings": ["110010010"], "largest_eigenvalue": 232.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.003801194929832271) q[0];
rz(pi/2) q[0];
ry(0.05105389636687611) q[1];
ry(0.6385912398749388) q[2];
ry(0.41170700885859485) q[3];
ry(0.45706365212312583) q[4];
ry(0.6695951990292817) q[5];
ry(0.4041791758350144) q[6];
ry(0.19508691181249344) q[7];
ry(0.63165932510... | 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] 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 flo... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIZIZII",
"IIIIZZIII",
"ZZIIIIIII",
"IIIZIIIZI",
"IIIZIZIII",
"ZIIZIIIII",
"IZIZIIIII",
"IIZIIIZII",
"IIZIZIIII",
"ZIZIIIIII",
"IZZIIIIII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIZIIIII",
"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7.5,
14.5,
15.5,
8,
13,
10,
29,
28,
-9
] | 0.978525 | [
-0.003801194929832271,
0.05105389636687611,
0.6385912398749388,
0.41170700885859485,
0.45706365212312583,
0.6695951990292817,
0.4041791758350144,
0.19508691181249344,
0.6316593251008676,
0.10442124213971936,
-0.30315461500380875,
-0.16978048127802084,
-0.168704377107928,
0.5776381685915404... | {
"n_parameters": 102,
"n_qubits": 9,
"optimal_eigenvalue": -111.5,
"target_ratio": 0.97,
"target_value": -108.155
} | 26 |
9b6c90aee56ab84919f7c826e678a024 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 4}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 1, "target": 4}, {"source": 4, "target": 3}]} | {"states": [23263, 23262], "expectation_value": -8.369851896897371, "params": [[[1.0449, 0.001], [0.3085, 0.48090000000000005], [0.9646, -0.0001], [1.0490000000000002, -0.0026000000000000003], [0.3131, -0.46430000000000005], [0.9580000000000001, -0.0031000000000000003], [0.3307, 0.4843], [1.0442, 0.0007], [1.0497, -0.0... | 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 | 15 | 3 | {"smallest_eigenvalues": [-9.49999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.49999999999998, "smallest_bitstrings": ["010010100100001"], "largest_eigenvalue": 28.500000000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.715232848262334) q[0];
h q[1];
ry(-0.030328296195851544) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.715232848262334) q[3];
cx q[1], q[3];
ry(0.715232848262334) q[3];
cx q[1], q[3];
ry(0.8365951312196482) q[1];
ry(-0.137398110733318) q[3];
h q[4];
cx q[4], q[0];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIZI",
"IIIIIIIZZIIIIII",
"IIIIIIZIIIIIZII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIIIIZIIZIII",
"IIIIIIIZIIZIIII",
"IIIIIIIIIIZZIII",
"IIIIIIZIIZIIIII",
"IIIIIIIIIZIZIII",
"IIIIIIIIIZZIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
1,
1,
1,
1.25,
1.25,
1.25,
1,
1,
1,
1.5,
1.5,
... | 0.971164 | [
-1.5328804564516896,
-1.430465696524668,
1.0834096726626357,
0.8365951312196482,
-0.5509012021507701,
-0.274796221466636,
0.5569995611029345,
-0.19436412134691167,
0.4190248734622253,
-0.1534221934072706,
-0.34688012124946255,
0.35811511996319667,
0.3114564153778113,
-0.27922289113440785,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 4 |
4455946038764589490 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 3, 4, 5], [0, 2, 3, 4, 7, 8], [4, 5, 6], [0, 8, 1, 7], [0, 3, 5, 7], [1, 4, 6], [0, 8, 3, 6], [8, 2, 5, 6], [0, 1, 5, 6], [0, 2, 3, 6, 7], [0, 2, 3, 5], [2, 3, 4, 5, 7], [8, 1, 3, 6], [8, 1, 6, 7], [8, 4, 5, 7], [0, 1, 2, 6, 7]]} | {"states": [430, 238], "expectation_value": -3.5058313668688816, "params": null, "bitstrings": ["001010001", "100010001"], "total_optimization_steps": 54, "probabilities": [0.049256160503837416, 0.900205217500926], "optimization_time": 148.3252890110016} | 0.1 * (Z(1) @ Z(2)) + 0.26666666666666666 * (Z(3) @ Z(2)) + 0.13333333333333333 * (Z(3) @ Z(1)) + 0.13333333333333336 * (Z(4) @ Z(2)) + 0.21666666666666667 * (Z(4) @ Z(1)) + 0.13333333333333336 * (Z(4) @ Z(3)) + 0.26666666666666666 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(1)) + 0.26666666666666666 * (Z(5) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.566666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.383333333333333, "smallest_bitstrings": ["100010001"], "largest_eigenvalue": 16.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(8.455742080410655e-05) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(8.071945067773169e-05) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-1.9343192336956614e-05) q[3];
cx q[1], q[3];
h q[4];
cx q[2], q[4];
rz(-1.9343192336956614e-05)... | 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(1.5703) 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... | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IZIIIIZII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIZIIII",
"IZIZIIIII",
"IZIIIIIIZ",
"... | [
0.1,
0.26666666666666666,
0.13333333333333333,
0.13333333333333336,
0.21666666666666667,
0.13333333333333336,
0.26666666666666666,
0.13333333333333333,
0.26666666666666666,
0.35,
0.21666666666666667,
0.21666666666666667,
0.3333333333333333,
0.03333333333333333,
0.25,
0.1833333333333333... | 0.905588 | [
0.00008455742080410655,
0.00008071945067773169,
-0.000019343192336956614,
0.00010455742855534228,
1.531790014969951,
0.0001050973496338952,
-1.5296385114402637,
1.3755510680202458,
1.122958715056207e-7,
-0.000015766509927137738,
0.00018288304154774504,
0.0001181553535070826,
0.00011123085807... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -3.566666666666666,
"target_ratio": 0.97,
"target_value": -3.459666666666666
} | 459 |
9f16651ff069e7e4b10d7e6e3ea493cf | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, ... | {"states": [254, 127], "expectation_value": -3.8754054609693416, "params": [[[-0.0044, 0.5737], [0.0027, 0.0038], [0.003, 0.0027], [0.0028, 0.0023], [1.3309, 0.0099], [-0.0056, 0.015700000000000002], [0.43810000000000004, -0.8280000000000001], [-0.0711, 0.0357]], [[0.0063, -0.0179], [-0.0004, 1.5768], [0.003, -0.0032],... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(7)) + 0.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(6) + -0.75 * Z(7) + 0.5 * ... | 15 | 8 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.10963318844684469) q[0];
ry(-0.10784227629783924) q[1];
ry(0.04903416532490154) q[2];
ry(-0.06456811418837632) q[3];
ry(-0.06278920391668384) q[4];
ry(0.016083486528017166) q[5];
ry(-0.09115505483951711) q[6];
ry(3.0615251106487658) q[7];
cx q[7], q[0];
cx q[6], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IZIIZIII",
"IZIIIIIZ",
"ZIIIIIIZ",
"ZZIIIIII",
"IZIIIIZI",
"IIIIZZII",
"IIIIIZZI",
"ZIIZIIII",
"IZZIIIII",
"ZIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII"
] | [
-0.25,
-0.5,
-0.25,
0.75,
-0.5,
-0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
0,
-0.25,
0,
-0.75,
0.5,
0,
0.5,
0
] | 0.970232 | [
0.10963318844684469,
-0.10784227629783924,
0.04903416532490154,
-0.06456811418837632,
-0.06278920391668384,
0.016083486528017166,
-0.09115505483951711,
3.0615251106487658,
0.6745970847881372,
0.004343756851912965,
-0.11081314270066006,
-0.2897526101286637,
-0.016448119872728477,
-0.2862374... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 44 |
-7725280652135298074 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4], [0, 5], [2, 4], [1, 2, 5], [0, 2, 3], [0, 1], [0, 6], [2, 6, 7], [0, 4]]} | {"states": [95, 225], "expectation_value": -0.09015549617644747, "params": [[-0.0761], [0.0777]], "bitstrings": ["10100000", "00011110"], "total_optimization_steps": 10, "probabilities": [0.004388777236133345, 0.004424072874094103], "optimization_time": 2.5275216102600098} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.6666666666666674, "smallest_bitstrings": ["00011110"], "largest_eigenvalue": 6.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(1.4697451724551949) q[1];
h q[2];
ry(1.557504848911376) q[2];
h q[3];
ry(-0.3313470695012753) q[3];
h q[4];
ry(-0.6482273716411553) q[4];
cx q[2], q[4];
ry(0.6482273716411553) q[4];
cx q[2], q[4];
ry(-0.26253000731437726) q[4];
h q[5];
ry(-0.282053182... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[1], q[0];
rz(x0) q[0];
cx... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZI",
"IIIZIIIZ",
"IIIIIIZZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIIZIZII",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIZII",
"IIIIZIIZ",
"IIIIZZII",
"IZIIIIIZ",
"IZIIIZII",
"ZIIIIZII",
"ZZIIIIII",
"IIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"ZIIIIII... | [
0.5,
0.5,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0,
0.16666666666666696,
0.16666666666666696,
0.16666666666666... | 0.973943 | [
1.557504848911376,
-1.2964547432823106,
1.4697451724551949,
-0.5641063651675676,
1.2087786406726164,
-1.4222554354129564,
-0.7652775706681402,
0.5712080523189794,
-0.34416296659312906,
-0.6626941390025506,
-0.28444542618875185,
0.659392070628122,
-0.2491282154581418,
0.7108090534906127,
... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -3.0000000000000004,
"target_ratio": 0.97,
"target_value": -2.91
} | 15 |
014ae0712579d5c03abdea5dd80c049f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, {"source": 3, "target":... | {"states": [0, 448], "expectation_value": -35.84162405662315, "params": [1.0097, 0.7616, -0.2086, -0.7148, 0.48260000000000003, -0.499, -0.0028, -0.002, 0.0002, -0.0051, -0.006, 0.0012000000000000001, -0.0025, -0.0025, -0.0046, -0.0002, 0.0035, -0.006, 2.3525, -0.0051, -1.7222000000000002, -0.0111, 1.4545000000000001, ... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -3.0 * (Z(3) @ Z(5)) + 1.5 * (Z(6) @ Z(5)) + -3.5 * (Z(6) @ Z(3)) + -3.0 * (Z(7) @ Z(5)) + -3.5 * (Z(7) @ Z(3)) + -3.5 * (Z(7) @ Z(6)) + -3.5 * (Z(8) @ Z(5)) + -3.5 * (Z(8) @ Z(3)) + -3.5 * (Z(8) @ Z(6)) + 2.0 * (Z(8) @ Z(7)) + 1.0 * (Z(4) @ Z(5)) + 1.... | 14 | 9 | 1 | {"smallest_eigenvalues": [-37.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.5, "smallest_bitstrings": ["000111111"], "largest_eigenvalue": 28.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.750902341194809) q[0];
rz(pi/2) q[0];
ry(-0.21666753864792107) q[1];
ry(0.45011749428347575) q[2];
ry(-0.10399401359671533) q[3];
ry(-0.17065210868814185) q[4];
ry(0.09239800279909152) q[5];
ry(-0.06501703948797306) q[6];
ry(-0.09305045205028893) q[7];
ry(0.0329915... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIZIZIII",
"IIZZIIIII",
"IIZIIZIII",
"IZIZIIIII",
"IZIIIZIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZIIIIZIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIZZIIII",
"IIIIZZIII",
"IIZIZIIII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"... | [
-1.5,
-1.5,
0.5,
-3,
1.5,
-3.5,
-3,
-3.5,
-3.5,
-3.5,
-3.5,
-3.5,
2,
1,
1.5,
-3,
-3,
-3.5,
0.5,
0.5,
0.5,
1.5,
-2.5,
-2.5,
1.5,
-2.5,
1.5
] | 0.97204 | [
1.750902341194809,
-0.21666753864792107,
0.45011749428347575,
-0.10399401359671533,
-0.17065210868814185,
0.09239800279909152,
-0.06501703948797306,
-0.09305045205028893,
0.03299155376569625,
2.0855611985533344,
-0.06639794080788022,
2.91971468425376,
0.09424965616462459,
-0.02572577235826... | {
"n_parameters": 32,
"n_qubits": 9,
"optimal_eigenvalue": -37.5,
"target_ratio": 0.97,
"target_value": -36.375
} | 12 |
5575b19e97d5a5b0b45755000e82f544 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 1, "s... | {"states": [119, 115], "expectation_value": -5.667457135484396, "params": [[-0.016900000000000002, 0.14600000000000002, 0.1381], [0.0692, -0.1302, -0.1391]], "bitstrings": ["110001000", "110001100"], "total_optimization_steps": 20, "probabilities": [0.01787387444601491, 0.02104462777315788], "optimization_time": 7.4041... | -0.75 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(7) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(7)) + -0.75 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(7)) + -0.5 * (Z(4) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-14.0, -14.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.0, "smallest_bitstrings": ["110001000", "110001100"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.560634012014881) q[0];
h q[1];
ry(-1.7818099631713982) q[1];
h q[2];
ry(1.587798887121975) q[2];
h q[3];
ry(0.7777315728674038) q[3];
h q[4];
ry(1.5554631457348076) q[4];
cx q[4], q[3];
ry(-0.7777315728674038) q[3];
cx q[4], q[3];
h q[5];
ry(-1.78180996317... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIIZIIIZI",
"IZIIIIIZI",
"IIIZIIZII",
"IZIIIIZII",
"IIZIIZIII",
"IIIZIZIII",
"IZIIIZIII",
"IIIIIZZII",
"IIIIZIIZI",
"IZIIZIIII",
"IIIIZIZII",
"IIIIZZIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIIIIZIII",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"... | [
-0.75,
-0.75,
-0.5,
-1,
-1,
-0.75,
-1,
-0.75,
-1,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
-0.75,
1.5,
-0.5,
-1,
-0.75,
-1.25,
-0.25,
0.5,
-2.75,
0,
1,
1.5,
2,
-0.75
] | 0.971696 | [
-1.7818099631713982,
1.5554631457348076,
-1.121268024029762,
0.9931676756380406,
-0.755965766479885,
1.587798887121975,
1.683067034217062,
0.4404709774126895,
-0.17300126679497613,
0.20768426428671805,
0.6997905193865639,
0.4719656890649042,
-0.055505934170919854,
0.17107727775494777,
-0... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 5 |
2353079fa286d356ce3844ef645b5899 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 1, "source": 2, ... | {"states": [5, 1], "expectation_value": -6.7499854908656385, "params": null, "bitstrings": ["11111010", "11111110"], "total_optimization_steps": 22, "probabilities": [1.2625284362786262e-05, 0.999985546168183], "optimization_time": 24.753338098526} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(2)) + 0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000000", "11111110", "10001000"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.014476605054925226) q[0];
ry(-0.08302690308798039) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5021299714943626) q[2];
ry(-0.20507589807993404) q[3];
rz(-pi) q[3];
ry(-0.0064225517544533916) q[4];
rz(-pi) q[4];
ry(-0.007758952866561823) q[5];
rz(-pi) q[5];
ry(... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIZIIIZ",
"IIIIIZZI",
"ZIIIIIIZ",
"ZIIIIIZI",
"IZIZIIII",
"IZIIIZII",
"IZIIIIZI",
"ZZIIIIII",
"IIIZZIII",
"IIIIZZII",
"IIIIZIZI",
"IZIIZIII",
"IIZZIIII",
"IIZIIZII",
"IZZIIIII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"ZIIIIIII",
"IZIIIIII",
"IIIIZIII",
"IIZIIII... | [
-0.5,
-0.5,
0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
-0.5,
-1,
-0.25,
-1.5,
-0.25,
0.25,
0.5,
1,
1.25
] | 0.996058 | [
-1.5021299714943626,
-1.527893052920365,
-1.541794211553103,
1.640141240938177,
-1.440851768577839,
-1.2949408354430672,
-1.5107160653792404,
-0.09383531025815497,
-0.1415591865437907,
-0.24437121070099205,
-0.08695744059343821,
-0.07296144424015699,
-0.059381324036815154
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 1 |
16e531ebd5c4fa365456c9500ea8e716 | 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": -4.926218041637984, "params": [0.2383, 0.15560000000000002, 0.27540000000000003, 0.1666, 0.2451, 0.1688, 0.24450000000000002, 0.1945, 0.4798, 0.10790000000000001, 0.42850000000000005, 0.1627, 0.4071, 0.1379, 0.23270000000000002, 0.1563, 0.2747, 0.1653, 0.2441, 0.1678, 0.2426, 0.1... | 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 ... | 3 | 7 | 4 | {"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(-0.17931700348995208) q[0];
rz(-0.5295651513983046) q[0];
rx(0.1383091762588557) q[1];
rz(-2.4427159179592346) q[1];
rx(0.19192920998953547) q[2];
rz(0.7692060885471252) q[2];
rx(0.010941951037614334) q[3];
rz(1.0249064769628937) q[3];
rx(3.3823159256033737) 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[... | {"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,
2.5,
2.25,
2.25,
2.5,
2.5,
-3.25,
-3.5,
-3.5,
-3.5,
-3,
-2.75,
-3
] | 0.970005 | [
-0.17931700348995208,
-0.5295651513983046,
0.1383091762588557,
-2.4427159179592346,
0.19192920998953547,
0.7692060885471252,
0.010941951037614334,
1.0249064769628937,
3.3823159256033737,
0.76377487209716,
2.7495714135870237,
0.6576922218401471,
3.0317260152509355,
-2.4912281243830905
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 29 |
-6342859833999755142 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 1, 6, 7], [1, 5, 7], [0, 9, 4], [9, 11, 6, 7], [0, 4, 5, 6], [1, 10, 11, 6], [11, 5, 6], [10, 11, 5, 7], [11, 4, 7], [1, 10, 3, 5], [8, 9, 10, 1], [10, 11, 4, 5], [11, 2, 3], [3, 4, 5, 7], [8, 9, 2, 5], [2, 3, 4, 5], [8, 2, 3], [0, 3, 5, 6], [8, 9, 2,... | {"states": [1782, 1974], "expectation_value": -5.576795980053058, "params": [[[0.0039000000000000003, 0.0029000000000000002], [0.0021000000000000003, 3.1388000000000003], [-0.0016, -0.0029000000000000002], [1.5735000000000001, 1.5735000000000001], [-1.5674000000000001, 1.5681], [1.5727, 1.5689000000000002], [0.0022, 1.... | 0.25 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.41666666666666663 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(8)) + 0.25 * (Z(7) @ Z(6)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.41666666666666663 * (Z(5) @ Z(6)) + 0.4166666... | 15 | 12 | 1 | {"smallest_eigenvalues": [-6.416666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.333333333333333, "smallest_bitstrings": ["100001001001"], "largest_eigenvalue": 28.500000000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.06450493622644371) q[0];
ry(0.1707433869437091) q[1];
ry(-0.018224553748081837) q[2];
ry(1.5758853549259586) q[3];
ry(-1.5182831007290363) q[4];
ry(1.5284183333711006) q[5];
ry(0.04347434451224072) q[6];
ry(3.010053494799234) q[7];
ry(0.12499302654037656) q[8];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIIIIZI",
"IIIIIZIIIIZI",
"IIIZIZIIIIII",
"IIIIZIIIIIZI",
"IIIZZIIIIIII",
"IIIIZZIIIIII",
"IIIIIIZIIIZI",
"IIIZIIZIIIII",
"IIIIIZZIIIII",
"IIIIZIZIIIII",
"IIIIIIIIIIZZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIIZ",
"IIIIIIZIIIIZ",
"IIZIIIIIIIZI",
"IIZZIIIIIIII",
"IIZIIZIIIIII",
"IIZIZIIII... | [
0.25,
0.16666666666666666,
0.08333333333333333,
0.41666666666666663,
0.16666666666666666,
0.25,
0.3333333333333333,
0.08333333333333333,
0.41666666666666663,
0.41666666666666663,
0.08333333333333333,
0.25,
0.5,
0.25,
0.08333333333333333,
0.25,
0.08333333333333333,
0.166666666666666... | 0.970238 | [
0.06450493622644371,
0.1707433869437091,
-0.018224553748081837,
1.5758853549259586,
-1.5182831007290363,
1.5284183333711006,
0.04347434451224072,
3.010053494799234,
0.12499302654037656,
2.884828367371653,
3.2046517957589287,
0.18323954743538853,
0.022000680474248115,
3.1115000544033466,
... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -6.416666666666665,
"target_ratio": 0.97,
"target_value": -6.224166666666665
} | 45 |
a1db39aee242137209fb2b5a9b5ff685 | 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": 1, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -12.429775442457268, "params": [0.033100000000000004, -0.0755, -0.0037, 0.008700000000000001, 0.0011, 0.31420000000000003, 0.002, 0.31620000000000004, 0.399, 0.0019, 0.4076, 0.0015, -0.0051, 0.2833, 0.008400000000000001, 0.31320000000000003, -0.384, -0.0026000000000000003, -0.3... | -0.75 * (Z(0) @ Z(3)) + -0.25 * (Z(6) @ Z(0)) + -1.0 * (Z(9) @ Z(0)) + -1.25 * (Z(1) @ Z(9)) + -0.75 * (Z(5) @ Z(1)) + -1.5 * (Z(8) @ Z(9)) + -0.5 * (Z(8) @ Z(1)) + -0.25 * (Z(8) @ Z(5)) + -0.75 * (Z(10) @ Z(6)) + -0.75 * (Z(10) @ Z(9)) + -0.25 * (Z(10) @ Z(1)) + -0.25 * (Z(7) @ Z(3)) + -1.25 * (Z(7) @ Z(8)) + -1.0 * (... | 6 | 11 | 2 | {"smallest_eigenvalues": [-14.5, -14.5, -14.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -13.5, "smallest_bitstrings": ["11010110011", "11011111111", "11010111111"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.1394408620536077) q[0];
rz(1.3625492066752702) q[0];
rx(-0.04952302034358531) q[1];
rz(1.9518991893020416) q[1];
rx(0.7943948900829952) q[2];
rz(1.4701427214833567) q[2];
rx(0.04357104536382273) q[3];
rz(1.55735310676394) q[3];
rx(-0.4915089974463846) q[4];
rz(1.5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIIZIIIIIZ",
"IZIIIIIIIIZ",
"IZIIIIIIIZI",
"IIIIIZIIIZI",
"IZZIIIIIIII",
"IIZIIIIIIZI",
"IIZIIZIIIII",
"ZIIIZIIIIII",
"ZZIIIIIIIII",
"ZIIIIIIIIZI",
"IIIZIIIZIII",
"IIZZIIIIIII",
"IIIIZIZIIII",
"IIZIIIZIIII",
"IIIIIIIIZIZ",
"IIIZIIIIZII",
"IIIIIIIZIII",
"IIIIIIIII... | [
-0.75,
-0.25,
-1,
-1.25,
-0.75,
-1.5,
-0.5,
-0.25,
-0.75,
-0.75,
-0.25,
-0.25,
-1.25,
-1,
-0.25,
2.25,
-1,
-0.5,
-0.25,
-2,
-0.5,
-0.25,
0,
1.75,
-0.25,
-0.5,
1.25,
1.25
] | 0.973144 | [
0.13944086205360767,
-0.20824712011962568,
-0.049523020343585314,
0.38110286250714465,
0.7943948900829952,
-0.10065360531153975,
0.043571045363822725,
-0.013443220030956438,
-0.4915089974463846,
-0.03985139911219711,
0.35503537745647706,
0.19968746268795942,
0.07175410136196757,
0.30424574... | {
"n_parameters": 94,
"n_qubits": 11,
"optimal_eigenvalue": -14.5,
"target_ratio": 0.97,
"target_value": -14.065
} | 11 |
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": 133.3362054824829} | -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 | 1 | {"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 |
aa66d191bc074c93fdf8690031573aaf | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"sour... | {"states": [18, 146], "expectation_value": -7.221942981982003, "params": [0.38020000000000004, -0.0028, -0.011000000000000001, 0.0086, 0.8055, 0.0023, 0.7984, 0.001, 0.8038000000000001, 0.0007, 0.5915, 0.0026000000000000003, 0.3548, 0.0035, 0.2026, 0.005, 0.8111, -0.004200000000000001, 0.8038000000000001, 0.003, 0.8014... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -7.5, "smallest_bitstrings": ["101100111", "101101101", "101011101", "110101011", "110101101"], "largest_eigenvalue": 25.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.17347404337561506) q[0];
rz(2.343676247502378) q[0];
rx(1.5375028990377195) q[1];
rz(1.6533568571880295) q[1];
rx(0.5398830157397154) q[2];
rz(1.36496065982415) q[2];
rx(0.14248629838757876) q[3];
rz(1.8644861337842196) q[3];
rx(1.7487799397829602) q[4];
rz(1.59388... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIZIIIIZ",
"IIIZIIZII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZZIIIII",
"IZIIIIIIZ",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIZZII",
"IIIZIZIII",
"ZIIIIZIII",
"ZIIIZIIII",
"IIIIZZIII",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2.5,
-2,
-2.5,
-1.5,
-1.5,
-2.5,
-1.5,
-0.5
] | 0.971407 | [
0.17347404337561506,
0.7728799207074813,
1.5375028990377195,
0.08256053039313274,
0.5398830157397153,
-0.20583566697074626,
0.14248629838757876,
0.2936898069893229,
1.7487799397829602,
0.02309310860567859,
0.425691920040852,
0.37543072757401313,
0.1338655976105398,
-0.1656519300288161,
1... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 33 |
d2d287c9d8fe93d17ca3a641ed42fb94 | 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}, {"id": 15}, {"id": 16}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target":... | {"states": [64, 0], "expectation_value": -118.99922145737294, "params": [[[-0.0023, 0.0043], [-0.0021000000000000003, 0.0054], [-0.0007, 0.0], [0.0009000000000000001, 0.0017000000000000001], [-0.0019, 0.008400000000000001], [-0.0031000000000000003, 0.0012000000000000001], [0.0004, 0.0085], [-0.002, 0.0037], [-0.0024000... | -4.0 * (Z(0) @ Z(1)) + 2.0 * (Z(2) @ Z(1)) + -4.0 * (Z(2) @ Z(0)) + -4.0 * (Z(4) @ Z(1)) + -4.0 * (Z(4) @ Z(0)) + -3.5 * (Z(4) @ Z(2)) + -3.5 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 1.5 * (Z(5) @ Z(4)) + -4.5 * (Z(7) @ Z(1)) + -4.5 * (Z(7) @ Z(0)) + -4.0 * (Z(7) @ Z(2)) + 2.5 * (Z(7) @ Z(4)) + 1.... | 1 | 16 | 1 | {"smallest_eigenvalues": [-126.9999999999991], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -119.99999999999987, "smallest_bitstrings": ["1111111111111111"], "largest_eigenvalue": 91.00000000000013} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(-1.5708121549164593e-06) q[0];
rz(0.013919441839496682) q[0];
rx(3.4689405714153103e-06) q[1];
rz(0.22857123850507885) q[1];
rx(-9.770452995299628e-06) q[2];
rz(0.023001628745829644) q[2];
rx(-3.4961380117572972e-06) q[3];
rz(-0.17045056226738445) q[3];
rx(-3.881025... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIZIIZI",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIIIIZ",
"IIIIIIIIIIZIIZII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIIIIZ",
"IIIIIIIIZIIIIZII",
"IIIIIIIIZIIZIIII",
"IIIIIII... | [
-4,
2,
-4,
-4,
-4,
-3.5,
-3.5,
-3.5,
0.5,
1.5,
-4.5,
-4.5,
-4,
2.5,
1.5,
-4.5,
2.5,
-4,
-4,
1,
-4,
1.5,
1,
1,
1,
0.5,
-3.5,
-3.5,
-4,
-3.5,
-4,
-3.5,
-4,
2,
1,
-3.5,
0.5,
0.5,
-3.5,
-3.5,
-3.5,
-3.5,
1,
-4,
-4,
2,
2,
-3,
... | 0.937008 | [
-0.0000015708121549164593,
0.013919441839496682,
0.0000034689405714153103,
0.22857123850507885,
-0.000009770452995299628,
0.023001628745829644,
-0.0000034961380117572972,
-0.17045056226738445,
-0.000003881025837963125,
-0.14770192336233826,
6.275867490134753e-7,
0.1469319739945015,
-0.000002... | {
"n_parameters": 28,
"n_qubits": 16,
"optimal_eigenvalue": -126.9999999999991,
"target_ratio": 0.97,
"target_value": -123.18999999999913
} | 300 |
da6f888553e0928bf84cb7c24eceee80 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 3, "source": 2, ... | {"states": [128, 127], "expectation_value": -0.7219674453665126, "params": [[0.0611, 0.0707], [-0.0545, -0.052000000000000005]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.0060521145106236926, 0.006248509413858561], "optimization_time": 3.0566213130950928} | -0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(4)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(3)) + 1.0 * Z(5) + -0.25 * Z(0) + -1.75 * Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["10000000", "11000000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.5177659963294788) q[0];
h q[1];
ry(-1.623404303532015) q[1];
h q[2];
ry(0.8202589649851039) q[2];
h q[3];
ry(0.7033685518814555) q[3];
h q[4];
ry(1.4889805032669121) q[4];
cx q[4], q[2];
ry(-0.8202589649851039) q[2];
cx q[4], q[2];
h q[5];
ry(0.84460063831... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIZIIIIZ",
"IIZIIIZI",
"IIIIIZZI",
"IIIZIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIZIIII",
"ZIIIZIII",
"IZZIIIII",
"IZIIIIZI",
"IZIZIIII",
"IZIIZIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII",
"IZIIIIII"
] | [
-0.25,
-0.75,
-0.5,
-0.75,
0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-0.5,
-1,
-0.75,
1,
-0.25,
-1.75,
1,
1.5,
-1.25,
-0.5,
0.25
] | 0.981536 | [
-1.623404303532015,
1.4889805032669121,
1.6405179299702077,
1.6168070806158488,
1.6892012766269737,
-1.0355319926589577,
1.0456182257691826,
1.406737103762911,
-0.7251973209355899,
0.22124766737700627,
-0.30348133941167,
0.18132166678998246,
-0.02893660445447417,
-0.06715041824588869,
0.... | {
"n_parameters": 21,
"n_qubits": 8,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 1 |
fadbf4becdcb820e45aa8c382a4bc97a | community_detection | 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": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target... | {"states": [26026, 21930], "expectation_value": -1.7090944240828652, "params": null, "bitstrings": ["1001101001010101", "1010101001010101"], "total_optimization_steps": 100, "probabilities": [0.12406877059982709, 0.2667082470552578], "optimization_time": 943.3059549331665} | 0.25 * (Z(0) @ Z(1)) + -0.00038265306122448983 * (Z(2) @ Z(0)) + -0.00038265306122448983 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.000510204081632653 * (Z(4) @ Z(0)) + -0.000510204081632653 * (Z(4) @ Z(2)) + -0.000510204081632653 * (Z(5) @ Z(1)) + -0.000510204081632653 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0005... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0210459183673266], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0210459183672738, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.007525510203905} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.4961747184936534) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.05002483313547751) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.05002483313547751) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-1.4961747184936534) q[3];
cx q[2], q[3... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncry(-0.5937) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure ... | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.00038265306122448983,
-0.00038265306122448983,
0.25,
-0.000510204081632653,
-0.000510204081632653,
-0.000510204081632653,
-0.000510204081632653,
0.25,
-0.000510204081632653,
-0.000510204081632653,
-0.0006058673469387755,
-0.000510204081632653,
-0.000510204081632653,
-0.000605867... | 0.979993 | [
-1.4961747184936534,
0.05002483313547751,
0.013200765158208429,
0.027453488225888736,
0.7712288404806994
] | {
"n_parameters": 5,
"n_qubits": 16,
"optimal_eigenvalue": -2.02104591836732,
"target_ratio": 0.97,
"target_value": -1.9604145408163003
} | 24 |
74a9039e61abdfc370e0e9ccbda58085 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 5}]} | {"states": [33, 34], "expectation_value": -2.5990800713440496, "params": null, "bitstrings": ["011110", "011101"], "total_optimization_steps": 17, "probabilities": [0.07397724748225105, 0.9005658146173622], "optimization_time": 19.20106029510498} | 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... | 1 | 6 | 1 | {"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],... | 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(-1.5158) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"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 |
7649588842338433581 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 4, 6, 7], [8, 1, 3, 4], [1, 4, 6, 7], [0, 1, 3, 7, 8], [0, 2, 4, 6, 7], [8, 2], [8, 5, 6], [8, 1, 6], [8, 1, 3, 5], [0, 2, 3, 4, 6], [4, 5], [1, 2, 3, 4, 7], [8, 4, 6], [0, 5, 7], [3, 5, 6]]} | {"states": [439, 311], "expectation_value": -1.3985976318744238, "params": [0.8963000000000001, 0.0022, 0.9013, 0.0051, 0.8957, -0.0022, 0.8918, 0.0085, 0.8929, -0.0453, 0.6887, 0.01, 0.9046000000000001, 0.002, 0.9028, 0.004, 0.8934000000000001, 0.006, 0.8935000000000001, 0.009600000000000001, 0.9011, -0.0054, 0.8951, ... | 0.26666666666666666 * (Z(3) @ Z(4)) + 0.43333333333333335 * (Z(6) @ Z(4)) + 0.3 * (Z(6) @ Z(3)) + 0.26666666666666666 * (Z(7) @ Z(4)) + 0.18333333333333335 * (Z(7) @ Z(3)) + 0.21666666666666667 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(4)) + 0.21666666666666667 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.05 * (Z(8) @ Z(7)) + 0.... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.8000000000000016], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.716666666666668, "smallest_bitstrings": ["011001000"], "largest_eigenvalue": 14.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-2.6808648634138037) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.4674404481010005) q[1];
h q[2];
ry(-0.4174947468621872) q[2];
h q[3];
ry(1.5476321452348163) q[3];
h q[4];
h q[5];
ry(-0.5206308351451352) q[5];
cx q[4], q[5];
ry(0.5206308351451352) q[5];
cx q[4], q[5];
ry(-0.26... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIZZIII",
"IIZIZIIII",
"IIZIIZIII",
"IZIIZIIII",
"IZIIIZIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIIIIZIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIZIIZI",
"IIIIIZIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIIIZIIIZ",
"IIIIIZIIZ",
"IIZIIIIIZ",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"IIIIIIIZZ",
"... | [
0.26666666666666666,
0.43333333333333335,
0.3,
0.26666666666666666,
0.18333333333333335,
0.21666666666666667,
0.25,
0.21666666666666667,
0.5,
0.05,
0.21666666666666667,
0.26666666666666666,
0.25,
0.18333333333333335,
0.3833333333333333,
0.1,
0.1,
0.1,
0.26666666666666666,
0.05,... | 0.971676 | [
1.5103508595887516,
1.5476321452348163,
1.2285296100637746,
-1.0412616702902704,
-0.8349894937243744,
1.1074156921028566,
-0.9278775831669082,
0.4462703759274426,
-0.934880896202001,
0.6300671159792638,
-0.5226110149513566,
0.556439330120181,
-0.3320301984814409,
-0.7292442070934777,
-0.... | {
"n_parameters": 39,
"n_qubits": 9,
"optimal_eigenvalue": -3.8000000000000016,
"target_ratio": 0.97,
"target_value": -3.6860000000000013
} | 4 |
1945c14bbcec92b7e4f7655d5da7795f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [1, 127], "expectation_value": -0.703294285515268, "params": [[-0.0838], [0.0787]], "bitstrings": ["11111110", "10000000"], "total_optimization_steps": 10, "probabilities": [0.00562896636567283, 0.005726198138396907], "optimization_time": 2.809002637863159} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(6)) + -0.75 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["10000000", "11111110", "10011010", "10111110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7829208339556055) q[0];
h q[1];
h q[2];
ry(-1.565841667911211) q[2];
h q[3];
ry(-1.565841667911211) q[3];
h q[4];
ry(-1.6049620459691951) q[4];
ry(-0.02737154603416445) q[5];
rz(-pi) q[5];
h q[6];
ry(-1.5671790015514286) q[6];
h q[7];
cx q[7], q[0];
ry(0.7... | 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;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIZII",
"IIZIIIIZ",
"IZIIIIIZ",
"IZIZIIII",
"IZZIIIII",
"IIIIIZZI",
"IIIZIIZI",
"IIIIZZII",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IIIIZIZI",
"ZIIIIZII",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIIIIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
-0.75,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.75,
-0.5,
-0.75,
-0.75,
-0.75,
-0.75,
2,
-0.5,
-0.5,
-0.25,
-0.25,
0,
1.5,
-0.5,
1.25,
-2,
0.25
] | 0.971076 | [
-1.565841667911211,
-1.5671790015514286,
-1.6049620459691951,
0.6420941017453372,
-0.27825456102521207,
0.670535929579305,
-0.3414240103559716,
-1.3886537724625685,
-0.8050574439941292,
-0.281509916078036,
-0.3095420165963274,
-0.05839965564258676
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 4 |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [14, 77], "expectation_value": -2.879885350711258, "params": null, "bitstrings": ["1110001", "0110010"], "total_optimization_steps": 37, "probabilities": [0.06141251598943395, 0.8446750997103469], "optimization_time": 42.68958497047424} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4)... | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.125, -3.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.125, "smallest_bitstrings": ["1010001", "0110010"], "largest_eigenvalue": 5.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.8473521450627363) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.8473521450627363) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.042967194764701365) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(-0.8473521450627363) q[4];
cx ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4449) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIZZII",
"IIZIZII",
"IIIZIIZ",
"IIZIIIZ",
"IZIIIIZ",
"IIZZIII",
"IZIZIII",
"IZZIIII",
"IIZZIIZ",
"IZIZIIZ",
"IZZIIIZ",
"IZZZIII",
"IZZZIIZ",
"ZZIIIII",
"ZIIIIZI",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
-0.125,
-0.5,
-0.5,
-0.125,
-0.125,
-0.125,
-0.5
] | 0.505615 | [
-0.8473521450627363,
-0.042967194764701365,
0.0646286253227127,
0.4276632086634684,
0.7850932252334482
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 131 |
b9131b0dfe5df734952a60af348be52d | 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}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [125, 93], "expectation_value": -54.91691750107006, "params": [0.01, 0.5009, 1.0682, 0.0766, 0.4888, 0.3517, 1.0499, 0.0903, 0.6926, 0.12760000000000002, 1.0673000000000001, -0.0038, -0.0032, 0.7637, 1.0688, 0.0252, -0.0011, 0.46540000000000004, 1.0613000000000001, 0.0536, 0.48140000000000005, 0.3371, 1.0413... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(4)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(2) @ Z(5)) + 5.5 * (Z(7) @ Z(3)) + 5.5 * (Z(6) @ Z(7)) + 7.0 * Z(1) + -2.0 * Z(0) + 11.5 * Z(4) + 19.0 * Z(3) + 15.0 * Z(5) + 15.5 * Z(2) + 7.5 * Z(7) + -3.5... | 18 | 8 | 3 | {"smallest_eigenvalues": [-61.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 125.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.2231710524438513) q[0];
rz(0.5237906088402635) q[0];
rx(0.9673643440479728) q[1];
rz(0.09027096008707325) q[1];
rx(0.09776545749731012) q[2];
rz(0.3571576922177398) q[2];
rx(1.0512272027727523) q[3];
rz(-0.11214062564962263) q[3];
rx(1.0569081691874616) 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], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IIIIIZZI",
"IIIZIZII",
"IIIIZZII",
"IIZIIZII",
"ZIIIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IIIIIZII",
"ZIIIIIII",
"IZIIIIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
7,
-2,
11.5,
19,
15,
15.5,
7.5,
-3.5
] | 0.971156 | [
-0.22317105244385127,
0.5622987450176876,
0.9673643440479728,
0.09027096008707325,
0.09776545749731012,
0.3571576922177398,
1.0512272027727523,
-0.11214062564962263,
1.0569081691874616,
-0.0635403259074141,
0.9370190111402399,
0.043702292191199685,
0.11403157739928424,
0.859290006987384,
... | {
"n_parameters": 69,
"n_qubits": 8,
"optimal_eigenvalue": -61,
"target_ratio": 0.97,
"target_value": -59.17
} | 9 |
9685ec147b3301b0cb81c8e06a7815e0 | matching | 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": [{"weight": 1, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 5}, {"weight": 13, "source": 1, "target": 2}, {"weight": 20, "sourc... | {"states": [237, 236], "expectation_value": -26.708658302235875, "params": [[-0.0252, -0.0012000000000000001], [0.0666, 0.0726]], "bitstrings": ["100010010", "100010011"], "total_optimization_steps": 10, "probabilities": [0.00568487981466891, 0.007283394099778303], "optimization_time": 3.6040947437286377} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-100.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.0, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 207.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.010666033403594538) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.010666033403594538) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.010666033403594538) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.010666033403594538) q[3];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIZIIIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
19.5,
5.5,
11.5,
25,
10,
14,
24.5,
13,
-9
] | 0.973763 | [
0.010666033403594538,
-1.4588214749533908,
1.2600940758411099,
-1.5402807926058628,
-1.7578275229760303,
1.4876650295712397,
-1.864209423414766,
-1.6115984580755054,
0.94962907467637,
1.592433736906186,
1.6138464429714918,
-0.9337061100987925,
0.46423094299737655,
1.7505009988785025,
0.5... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -100,
"target_ratio": 0.97,
"target_value": -97
} | 63 |
17639781641b88f9ffa836608d3b637d | 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": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [70, 78], "expectation_value": -2.0659972998944225, "params": [0.1757, 0.1806, 0.3033, 0.2992, -0.0022, 0.0019, 0.1817, 0.18330000000000002, 0.2943, 0.30110000000000003, 0.2972, 0.2983, 0.2992, 0.3053, -0.0036000000000000003, -0.0013000000000000002, 0.1738, 0.17600000000000002, 0.3058, 0.3058, -0.00690000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(0) @ Z(5)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(5)) + 0.0625 * (Z(6) @ Z(1)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0... | 13 | 8 | 3 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.8125, "smallest_bitstrings": ["10110001", "10101001", "01110001"], "largest_eigenvalue": 6.1875} | 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZZIII",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIZIII",
"IIZIZIIZ",
"IIIIIZZI",
"IIIZIIZI",
"IIZIIIZI",
"IZIIIIZI",
"IIIZIZII",
"IIZIIZII",
"IZIIIZII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"IIIZIZZI",
"IIZIIZZI",
"IZIIIZZI",
"IIZZIIZI",
"IZIZIIZI",
"IZZIIIZI",
"IIZZIZI... | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-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,
... | 0.974159 | [
-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 |
5a12fc3b9ebd59a3b68795f0bd90935e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [13, 50], "expectation_value": -0.2838689837281734, "params": [[0.0779], [-0.0829]], "bitstrings": ["110010", "001101"], "total_optimization_steps": 10, "probabilities": [0.01797221232434612, 0.018915373489251864], "optimization_time": 1.1938118934631348} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -1.0 * Z(1) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["001101"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(1.1435948285215511e-07) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(1.1435948285215511e-07) q[1];
cx q[2], q[1];
rz(-0.5698699266786225) q[2];
rx(0.6578008209073697) q[2];
h q[3];
cx q[0], q[3];
rz(1.1435948285215511e-07) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(x0) q[5]... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"IIZIZI",
"ZIIIZI",
"IZZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-1.5,
-1,
-0.5
] | 0.777778 | [
1.1435948285215511e-7,
-0.5698699266786227,
0.8976760148695336,
0.858764150438184,
0.6578008209073697,
-2.2179312215672304e-7,
-0.7323750322594127,
-0.1837825357866761,
-0.09561625248230032,
0.3664649548078836,
2.7031261787381847e-7,
-0.4507353837506744,
1.1904463292135272,
1.1313235119654... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 397 |
1656823104873287151 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 7], [1, 7], [1, 6], [3, 4], [0, 5], [0, 1], [3, 7], [4, 5], [1, 4], [5, 6], [4, 6], [0, 3], [0, 2], [2, 4]]} | {"states": [245, 116], "expectation_value": -4.26902107719548, "params": null, "bitstrings": ["00001010", "10001011"], "total_optimization_steps": 71, "probabilities": [0.05473838016609363, 0.8236772468065049], "optimization_time": 118.7513473033905} | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.0 * Z(7) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["01110100", "10001011"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.14444059376858526) q[0];
h q[1];
ry(0.8948082460452842) q[1];
h q[2];
ry(0.8346375640933413) q[2];
h q[3];
h q[4];
ry(-0.14444059376858526) q[4];
cx q[3], q[4];
ry(0.14444059376858526) q[4];
cx q[3], q[4];
ry(-0.414453228641865) q[4];
ry(1.5340414132241356... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[3], q[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... | [
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIIIIZZ",
"IZIIIIZI",
"ZIIIZIII",
"IIIIZIIZ",
"IIIZIIZI",
"IZIZIIII",
"IIIZZIII",
"IIZIIIIZ",
"IZZIIIII",
"IIZZIIII",
"IIIIIZIZ",
"IIIZIZII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IIIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.971071 | [
-0.2888811875371705,
1.5340414132241356,
1.6692751281866827,
-0.82890645728373,
1.7158319725160627,
-0.804079888665991,
1.7896164920905684,
-1.2796783109122194,
-1.297893970378822,
0.25995099430809804,
-0.06824232249260923,
-0.5366825726335764,
-0.32937888007652555,
-0.2431246641210497,
... | {
"n_parameters": 51,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 17 |
91fd701868951eab612ba86420778b2e | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [2, 3], "expectation_value": -10.328342789472892, "params": [[[0.35900000000000004, 0.2315], [0.37020000000000003, 0.2285], [0.3709, 0.2278], [0.20020000000000002, -0.2921], [0.7965, 0.0001], [0.792, -0.0005]], [[0.3612, 0.0018000000000000002], [0.3704, 0.0002], [0.3739, 0.0], [0.20120000000000002, 0.0027], ... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.5 ... | 1 | 6 | 2 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.6046606131929824) q[0];
rz(-pi) q[0];
ry(-0.2754248126532229) q[1];
rz(-pi) q[1];
ry(-1.397078670391102) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.7131691907790075) q[3];
cx q[3], q[2];
ry(0.10320605458857647) q[2];
cx q[3], q[2];
ry(-0.09157489833333138) q[3];
ry(-0.4233... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
-5.75,
-5.75,
-5.75,
-6.25,
-5.25,
-5.25
] | 0.970876 | [
-0.7131691907790075,
-0.6029729944224574,
-0.9519977999790217,
-0.0705116018152183,
-0.6867474283253041,
-0.7263254383589139,
-0.20641210917715294,
-0.18314979666666276,
1.246074321202835,
-0.16302890953712407,
0.9836842123631419,
-0.8467113254691783,
-0.29282426768644043,
0.51295746069054... | {
"n_parameters": 35,
"n_qubits": 6,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 32 |
4222214621519125051 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[0, 4, 8, 11, 12], [9, 2, 6], [3, 7, 8, 9, 12], [2, 5, 10, 12, 13], [0, 2, 10, 12], [8, 10, 6], [8, 2, 4, 13], [9, 4], [0, 1, 3, 6, 12, 13], [13, 4, 12], [0, 2, 12, 6], [10, 11], [1, 2, 3, 9, 10], [0, 1, 5, 6, 7, 8], [9, 2, 11], [0, 2, 7, 8, 11, 1... | {"states": [7606, 8102], "expectation_value": -4.562558433970651, "params": null, "bitstrings": ["10001001001001", "10000001011001"], "total_optimization_steps": 100, "probabilities": [0.04697217763089041, 0.8260443365992115], "optimization_time": 3040.265744447708} | 0.13333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(8) @ Z(4)) + 0.11666666666666667 * (Z(8) @ Z(0)) + 0.08333333333333334 * (Z(11) @ Z(4)) + 0.08333333333333334 * (Z(11) @ Z(0)) + 0.11666666666666667 * (Z(11) @ Z(8)) + 0.21666666666666667 * (Z(12) @ Z(4)) + 0.25 * (Z(12) @ Z(0)) + 0.1 * (Z(12) @ Z(8)) + 0.0... | 7 | 14 | 1 | {"smallest_eigenvalues": [-4.716666666666587], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.616666666666609, "smallest_bitstrings": ["10000001011001"], "largest_eigenvalue": 17.00000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
h q[0];
ry(-0.5515935644460361) q[0];
ry(-2.5659753311780027) q[1];
rz(-pi) q[1];
h q[2];
ry(1.554999593524539) q[2];
h q[3];
ry(0.3845891644052965) q[3];
h q[4];
h q[5];
ry(0.13190842777989573) q[5];
h q[6];
ry(0.5572491220931909) q[6];
h q[7];
ry(-0.00147977663866913... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[14] c;\nqubit[14] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nry(1.57) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4... | [
"IIIIIIIIIZIIIZ",
"IIIIIZIIIZIIII",
"IIIIIZIIIIIIIZ",
"IIZIIIIIIZIIII",
"IIZIIIIIIIIIIZ",
"IIZIIZIIIIIIII",
"IZIIIIIIIZIIII",
"IZIIIIIIIIIIIZ",
"IZIIIZIIIIIIII",
"IZZIIIIIIIIIII",
"IIIIZIIIIZIIII",
"IIIIZZIIIIIIII",
"IIZIZIIIIIIIII",
"IZIIZIIIIIIIII",
"IIIIIIIIIZIZII",
"IIIIIIIIIIIZIZ"... | [
0.13333333333333333,
0.16666666666666666,
0.11666666666666667,
0.08333333333333334,
0.08333333333333334,
0.11666666666666667,
0.21666666666666667,
0.25,
0.1,
0.05,
0.5,
0.05,
0.16666666666666666,
0.05,
0.16666666666666666,
0.2833333333333333,
0.11666666666666667,
0.1999999999999999... | 0.974007 | [
1.554999593524539,
1.4376479289495803,
1.4790321984555999,
-0.837261325334134,
0.8483582616215053,
-0.8773243989174642,
0.8577508125521262,
-0.44474725151435235,
0.5984647978963311,
1.1144982441863818,
-0.515397504735438,
-0.29736113929060126,
0.6506195261648964,
-1.1031871288920723,
0.7... | {
"n_parameters": 69,
"n_qubits": 14,
"optimal_eigenvalue": -4.716666666666587,
"target_ratio": 0.97,
"target_value": -4.575166666666589
} | 15 |
f619afa25c1921f996d128a1dfefef72 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [22, 27], "expectation_value": -0.5537549905861726, "params": [[0.06670000000000001, 0.0689, 0.0614, 0.0558], [-0.061200000000000004, -0.07150000000000001, -0.06280000000000001, -0.0574]], "bitstrings": ["101001", "100100"], "total_optimization_steps": 10, "probabilities": [0.02647956779070304, 0.03104919405... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(4) + -0.5 * Z(3) + 0.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100100"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.4936559659629063) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.013500835409830762) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.013500835409830762) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(1.4936559659629063) q[3];
cx q[2], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IIIIZZ",
"IIIZIZ",
"IZIIIZ",
"IIZZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1,
-0.5,
0,
-0.5,
0
] | 0.974012 | [
1.4936559659629063,
0.013500835409830762,
-0.004945064526051042,
0.0475064589351132,
-0.0973573450378921,
-0.024370407967199997,
0.09398041354422079,
-0.7569490972859623
] | {
"n_parameters": 8,
"n_qubits": 12,
"optimal_eigenvalue": -1.52,
"target_ratio": 0.97,
"target_value": -1.4744
} | 27 |
8aba1fe819f1a606a1aaa6ea801e6056 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [133, 165], "expectation_value": -4.93945495801253, "params": [0.9095000000000001, 0.0012000000000000001, 0.9036000000000001, 0.006, 0.0034000000000000002, 0.5352, -0.0, 0.008700000000000001, 0.9034000000000001, 0.19410000000000002, 0.9003, 0.0053, -0.0017000000000000001, 0.5543, -0.0015, 0.0043, -0.00210000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + -1.5 * Z(1) + -1.0 * Z(0) + -2.0 *... | 5 | 8 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["01011010"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.5591060425693835) q[0];
rz(-0.18094994673820652) q[0];
rx(-0.05232374484074145) q[1];
rz(0.07133001553984664) q[1];
cx q[1], q[0];
rz(0.2255313893914448) q[0];
cx q[1], q[0];
rz(1.5127053507583135) q[0];
ry(1.0254212716335263) q[0];
rz(-1.5696617410926006) q[0];
rx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIIIIZZI",
"IIIZIZII",
"IZIIZIII",
"IZIIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"ZIIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-2,
-1.5,
-1,
-1,
-1,
0
] | 0.974387 | [
0.5591060425693835,
0.04458144265323838,
-0.05232374484074145,
0.07133001553984664,
0.5413735914922622,
-0.05332221553066495,
0.035402513556681114,
0.13833583156379747,
-0.15930675930423435,
-0.010000555178066278,
0.5233892289128012,
0.1364931098013084,
-0.05987489700876278,
0.367483410378... | {
"n_parameters": 116,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 12 |
7a09bb615dc1fdde1d903c08e99cd28d | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 6},... | {"states": [240, 2032], "expectation_value": -1.0113872273926636, "params": [[0.057600000000000005], [-0.046700000000000005]], "bitstrings": ["11100001111", "00000001111"], "total_optimization_steps": 10, "probabilities": [0.0007003818143463517, 0.0007207140728155191], "optimization_time": 3.12214994430542} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(5) @ Z(4)) + -2.5 * (Z(7) @ Z(8)) + 1.5 * (Z(10) @ Z(8)) + -2.5 * (Z(10) @ Z(7)) + -2.5 * (Z(9) @ Z(8)) + 1.0 * (Z(9) @ Z(7)) + -2.5 * (Z(9) @ Z(10)) +... | 1 | 11 | 1 | {"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["00000001111"], "largest_eigenvalue": 24.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(0.7377648917341875) q[0];
h q[1];
h q[2];
ry(0.5290691722403622) q[2];
cx q[1], q[2];
ry(-0.5290691722403622) q[2];
cx q[1], q[2];
cx q[2], q[0];
ry(-0.7377648917341875) q[0];
cx q[2], q[0];
ry(0.7930234427460806) q[1];
cx q[0], q[1];
ry(-0.7930234427460806)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
c... | {"node": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIZIIZIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIZZIIIIIII",
"ZIZIIIIIIII",
"ZIIZIIIIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIZIIIIII",
"IIIIIIIZI... | [
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
-2,
0.5,
-1.5,
-2.5,
1.5,
-2.5,
-2.5,
1,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-2,
1.5
] | 0.970849 | [
1.475529783468375,
-1.5628996802404518,
-1.3514987704248436,
0.09167148618091428,
1.5571746419840333,
1.5845855566542077,
-0.8150185511618434,
-0.5153101796557423,
-0.9399417552202401,
-0.9397578554770822,
0.04241676698596278,
-0.17919626492358678,
1.0581383444807244,
1.5860468854921612,
... | {
"n_parameters": 59,
"n_qubits": 11,
"optimal_eigenvalue": -23.5,
"target_ratio": 0.97,
"target_value": -22.794999999999998
} | 141 |
d383895e715d7ed8a1ff50ded0fb8ad9 | 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": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "... | {"states": [0, 4095], "expectation_value": -25.14017184277907, "params": [[[-0.0023, 1.5989], [0.0016, 0.0018000000000000002], [0.0019, 0.002], [0.002, 0.0018000000000000002], [0.0015, 0.0017000000000000001], [0.0029000000000000002, 0.0023], [0.0034000000000000002, -0.0031000000000000003], [0.0031000000000000003, 0.003... | -1.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(2) @ Z(1)) + -2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(5)) + -2.5 * (Z(7) @ Z(8)) + -2.5 * (Z(10) @ Z(8)) + -2.5 * (Z(10) @ Z(7)) + -2.5 * (Z(9) @ Z(8)) + 1.0 * (Z(9) @ Z(7)) + -2.5 * (Z(9) @ Z(10)) +... | 15 | 12 | 1 | {"smallest_eigenvalues": [-30.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.0, "smallest_bitstrings": ["000000000000"], "largest_eigenvalue": 27.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.05646723489258633) q[0];
ry(-0.05012082543401015) q[1];
ry(0.10999905611164965) q[2];
ry(-0.11459926432523128) q[3];
ry(-0.03266064866209889) q[4];
ry(0.02313184681009678) q[5];
ry(-0.23043377797450199) q[6];
ry(-0.007222791558752412) q[7];
ry(-0.0990241430091729... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIZZIIIIIII",
"IZIZIIIIIIII",
"IZIIZIIIIIII",
"IIZZIIIIIIII",
"IIZIZIIIIIII",
"IZZIIIIIIIII",
"ZIIZIIIIIIII",
"ZIIIZIIIIIII",
"ZZIIIIIIIIII",
"ZIZIIIIII... | [
-1.5,
0.5,
-2,
0.5,
-1.5,
-2,
0.5,
-2,
-2.5,
-2.5,
-2.5,
-2.5,
1,
-2.5,
-2.5,
1,
-2.5,
-2,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.976648 | [
-0.05646723489258633,
-0.05012082543401015,
0.10999905611164965,
-0.11459926432523128,
-0.03266064866209889,
0.02313184681009678,
-0.23043377797450199,
-0.007222791558752412,
-0.09902414300917299,
0.16636326921100184,
-0.03580239110131375,
2.9387024293226722,
0.010415156160612574,
0.121189... | {
"n_parameters": 20,
"n_qubits": 12,
"optimal_eigenvalue": -30,
"target_ratio": 0.97,
"target_value": -29.099999999999998
} | 22 |
4ece4570230fb980cfacc75e33d7742e | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "... | {"states": [0, 4095], "expectation_value": -51.660981341593114, "params": [[[0.0032, 1.6033000000000002], [0.0017000000000000001, 0.0015], [-0.0033, 0.0027], [0.0033, 0.003], [0.003, -0.0031000000000000003], [-0.0013000000000000002, 0.0025], [0.0034000000000000002, -0.0026000000000000003], [-0.0031000000000000003, 0.00... | -1.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(6)) + -3.0 * (Z(7) @ Z(9)) + -3.5 * (Z(10) @ Z(9)) + -3.5 * (Z(10) @ Z(7)) + -3.0 * (Z(11) @ Z(9)) + -3.5 * (Z(11) @ Z(7)) + -4.0 * (Z(11) @ Z(10)) + 1.5 * (Z(4) @ Z(9)) + -3.5 * (Z(4) @ Z(7)) + -3.5 * (Z(4) @ Z(1... | 15 | 12 | 1 | {"smallest_eigenvalues": [-56.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.5, "smallest_bitstrings": ["000000000000"], "largest_eigenvalue": 49.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.053088746404109224) q[0];
ry(0.14217621956095186) q[1];
ry(0.0738344310019661) q[2];
ry(0.1128508453394975) q[3];
ry(-0.06567866851668436) q[4];
ry(-0.049228147045639034) q[5];
ry(0.02812552095223597) q[6];
ry(0.008784012605504087) q[7];
ry(-0.025066025348911808)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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]... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIZ",
"IIIIIZZIIIII",
"IIIIIZIIIIIZ",
"IIIIIIIIIIZZ",
"IIIIIZIIIIZI",
"IIZIZIIIIIII",
"IZZIIIIIIIII",
"IZIIZIIIIIII",
"ZIZIIIIIIIII",
"ZIIIZIIIIIII",
"ZZIIIIIIIIII",
"IIZIIIIZIIII",
"IIIIZIIZIIII",
"IZIIIIIZIIII",
"ZIIIIIIZIIII",
"IIZZIIIIIIII",
"IIIZZIIIIIII",
"IZIZIIIII... | [
-1.5,
0.5,
-2.5,
0.5,
-2,
-3,
-3.5,
-3.5,
-3,
-3.5,
-4,
1.5,
-3.5,
-3.5,
1.5,
-3.5,
2,
-4,
-3.5,
-4,
1,
0.5,
1.5,
-3.5,
1,
-3.5,
0.5,
1,
-4,
1,
-3,
1.5,
-3,
0.5,
1,
-1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.971717 | [
-0.053088746404109224,
0.14217621956095186,
0.0738344310019661,
0.1128508453394975,
-0.06567866851668436,
-0.049228147045639034,
0.02812552095223597,
0.008784012605504087,
-0.025066025348911808,
-0.029603590125699436,
-0.11379151126708695,
0.14394415063310734,
2.9220888618354843,
0.1120646... | {
"n_parameters": 17,
"n_qubits": 12,
"optimal_eigenvalue": -56.5,
"target_ratio": 0.97,
"target_value": -54.805
} | 23 |
100b035d500fd4645fd2b0e271b9dd47 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 4}, {"capaci... | {"states": [36, 5], "expectation_value": -5.7496317662910466, "params": null, "bitstrings": ["011011", "111010"], "total_optimization_steps": 20, "probabilities": [3.1555071643406036e-05, 0.999906214239704], "optimization_time": 11.765247583389282} | -0.75 * (Z(0) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(5) + -1.5 * Z(1) + 0.5 * Z(4) + 1.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["111010"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.036361120549268114) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.036361120549268114) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.036361120549268114) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(-0.036361120549268114) q[3... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"ZIIIIZ",
"IIIZZI",
"IZIZII",
"ZZIIII",
"IZIIZI",
"IIZZII",
"ZIZIII",
"IZZIII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IZIIII",
"IIZIII"
] | [
-0.75,
1,
-0.75,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
-0.25,
0,
-0.25,
0.25,
-1.5,
0.5,
1
] | 0.970014 | [
-0.036361120549268114,
0.14405844121527378,
-0.13116864722027602,
-0.09016403948180983,
-0.42208946727799673,
1.032345964282921,
-0.27380445100274553,
-0.67408198946556,
-0.7224973711725445,
-0.10950294361258778,
0.4622101983096701,
-0.0277322755715016,
0.07715182970014163,
0.5101723696398... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 90 |
45a16483fc17cca61ace9bf5c51bc6d6 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "ta... | {"states": [122, 126], "expectation_value": -10.079178430715574, "params": null, "bitstrings": ["0000101", "0000001"], "total_optimization_steps": 86, "probabilities": [0.0699666421479491, 0.34579712439862714], "optimization_time": 161.6782991886139} | -3.0 * (Z(0) @ Z(1)) + 1.5 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(0)) + 1.5 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + 1.5 * (Z(5) @ Z(3)) + -3.0 * (Z(2) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(3)) + -3.0 * (Z(2) @ Z(5)) + -3.0 * (Z(4) @ Z(1)) + 1.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(5)) + -2.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-25.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["0000001"], "largest_eigenvalue": 32.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(0.774531122995546) q[0];
h q[1];
ry(0.8727131859620082) q[1];
h q[2];
ry(0.774531122995546) q[2];
h q[3];
h q[4];
ry(0.7297658012966488) q[4];
cx q[3], q[4];
ry(-0.7297658012966488) q[4];
cx q[3], q[4];
cx q[4], q[2];
ry(-0.774531122995546) q[2];
cx q[4], q[2... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5708) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IZIIIZI",
"IZIIIIZ",
"IZIZIII",
"IIIIZZI",
"IIIIZIZ",
"IIIZZII",
"IZIIZII",
"IIZIIZI",
"IIZIIIZ",
"IIZZIII",
"IZZIIII",
"IIZIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"IIIIZII",
"IIZIIII",
"ZIIIIII"
] | [
-3,
1.5,
-3,
1.5,
-3,
1.5,
-3,
1.5,
-3,
-3,
-3,
1.5,
-3,
-3,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.968968 | [
1.4595316025932976,
1.549062245991092,
1.545834284937958,
1.7454263719240164,
3.192344007359476,
0.10154560705689283,
-1.7325776860086517,
-0.04126613852330897,
-0.2658293662505911,
-0.373213035945228,
-1.4606223318509728,
0.13238158449154463,
0.047989001576600424,
-0.024094463895148032,
... | {
"n_parameters": 48,
"n_qubits": 7,
"optimal_eigenvalue": -25.5,
"target_ratio": 0.97,
"target_value": -24.735
} | 500 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.