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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
5696282716392168254 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[3, 11], [0, 9], [8, 1], [2, 11], [4, 5], [0, 6], [4, 7], [8, 10], [11, 12]]} | {"states": [4882, 4370], "expectation_value": -0.0125665153458146, "params": [[[1.6333, 0.006200000000000001], [1.5258, 0.0068000000000000005], [1.5390000000000001, 0.0044], [1.5441, 0.0006000000000000001], [1.6262, 0.0067], [1.4972, 0.0013000000000000002], [1.4921, 0.0036000000000000003], [1.5031, 0.0044], [1.6106, 0.... | 0.5 * (Z(3) @ Z(11)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(11)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(10) @ Z(8)) + 0.5 * (Z(12) @ Z(11)) + 0.0 * Z(11) + 0.0 * Z(3) + 0.0 * Z(9) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(8) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(4) +... | 1 | 13 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -3.5, "smallest_bitstrings": ["1011100010001", "1011010110001", "0011011111001", "1100010100110", "1100100000110", "0111011101101", "00... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(3.054573321801116) q[0];
rz(-0.07882445786197256) q[0];
rx(0.12452963506067097) q[1];
rz(-1.6914682128673746) q[1];
rx(0.17840027799342406) q[2];
rz(-1.5987444733134786) q[2];
rx(-0.14909156910422533) q[3];
rz(0.9450550044755798) q[3];
rx(3.126534700233918) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIIIZIII",
"IIIZIIIIIIIIZ",
"IIIIZIIIIIIZI",
"IZIIIIIIIIZII",
"IIIIIIIZZIIII",
"IIIIIIZIIIIIZ",
"IIIIIZIIZIIII",
"IIZIZIIIIIIII",
"ZZIIIIIIIIIII",
"IZIIIIIIIIIII",
"IIIIIIIIIZIII",
"IIIZIIIIIIIII",
"IIIIIIIIIIIIZ",
"IIIIIIIIIIIZI",
"IIIIZIIIIIIII",
"IIIIIIIIIIZII",
"IIIIIIIZIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.972842 | [
3.054573321801116,
-0.07882445786197256,
0.12452963506067097,
-1.6914682128673746,
0.17840027799342406,
-1.5987444733134786,
-0.14909156910422533,
0.9450550044755798,
3.126534700233918,
-1.5990423852713158,
-0.01905054642686574,
1.7646283013362067,
-0.06932225938574953,
2.435269910866247,
... | {
"n_parameters": 25,
"n_qubits": 13,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 59 |
3bb079244230ecfe3b12b98f791fe70b | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [383, 511], "expectation_value": -14.711034898831908, "params": null, "bitstrings": ["010000000", "000000000"], "total_optimization_steps": 100, "probabilities": [0.10452238644732167, 0.3314128628024651], "optimization_time": 230.51262998580933} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + -2.5 * (Z(2) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(3)) + -2.5 * (Z(2) @ Z(4)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + -... | 1 | 9 | 1 | {"smallest_eigenvalues": [-32.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.0, "smallest_bitstrings": ["000000000"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.6548320554903005) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.6548320554903005) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.6548320554903005) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(0.6548320554903005) q[4];
cx q[1], ... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIZZIIIII",
"IZZIIIIII",
"IZIZIIIII",
"ZIZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IIIIIIZII",
"... | [
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2.5,
1.5,
-2.5,
-2.5,
-2,
0.5,
-2.5,
0.5,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
1
] | 0.581612 | [
0.6548320554903005,
0.4254911336337202,
0.853145151007256,
0.06253831148041922,
-0.10407450244675698,
0.2308114584225779,
1.0462130045528344
] | {
"n_parameters": 7,
"n_qubits": 9,
"optimal_eigenvalue": -32,
"target_ratio": 0.97,
"target_value": -31.04
} | 177 |
abfc65dd279c9be0771666a7af1df613 | 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": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 8}, {"capac... | {"states": [0, 1], "expectation_value": -17.424738217941776, "params": [-0.0033, 0.0011, 0.0026000000000000003, 0.005, 0.0025, 0.004200000000000001, 0.0025, 0.0027, 0.0023, 0.0078000000000000005, 0.0024000000000000002, 0.0063, 0.0023, 0.010100000000000001, 0.0027, 0.008700000000000001, 0.0022, -0.9771000000000001, 1.61... | -1.0 * (Z(0) @ Z(3)) + -1.0 * (Z(4) @ Z(0)) + -0.25 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(8)) + -2.0 * (Z(6) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(8)) + -0.75 * (Z(2) @ Z(6)) + -1.0 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(8)) + -1.25 * (Z(7)... | 4 | 10 | 1 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.25, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 21.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.1260106905375708) q[0];
rz(1.2269505887297782) q[0];
rx(-0.032781407794859226) q[1];
rz(1.4555254797270045) q[1];
rx(0.09002791400272736) q[2];
rz(1.7416567657170106) q[2];
rx(0.09002791400272736) q[3];
rz(1.562394217848576) q[3];
rx(-0.05076418060284001) 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[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IZIIIIIIIZ",
"IIIIIZIIZI",
"IIIZIIZIII",
"IZIZIIIIII",
"IIIZIIIIZI",
"IIIIIIZZII",
"IIIIIZIZII",
"IZIIIIIZII",
"IIIZIIIZII",
"IIZIIIZIII",
"IZZIIIIIII",
"IIZZIIIIII",
"IIZIIIIZII",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"IIIIZIZIII",
"IIIIZZIIII",
"IZIIZIIIII"... | [
-1,
-1,
-0.25,
-0.75,
-0.75,
-0.75,
-2,
-0.75,
-0.5,
-0.25,
-0.75,
-1,
-0.75,
-1.25,
-1.25,
2.5,
-0.5,
-0.25,
-0.5,
-0.5,
-1,
-2.25,
-0.25,
-0.25,
-1.5,
-2.25,
0,
1.5,
1.75,
2,
1.25
] | 0.97766 | [
0.12601069053757077,
-0.343845738065118,
-0.032781407794859226,
-0.11527084706789281,
0.09002791400272736,
0.17086043892211386,
-0.00840210894632093,
-0.05076418060284002,
-0.050512163613706695,
-0.10793377348105372,
-0.45013316931256986,
-0.1058275480754595,
-0.1358604643187617,
0.0609342... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -21.25,
"target_ratio": 0.97,
"target_value": -20.6125
} | 7 |
98ff52dd3a46eb29e6baf499c47cc739 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [41, 22], "expectation_value": -0.06745520440146888, "params": [[0.0766], [-0.0751]], "bitstrings": ["010110", "101001"], "total_optimization_steps": 10, "probabilities": [0.017086030106846686, 0.01708603010684669], "optimization_time": 3.3253612518310547} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4)... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.125, "smallest_bitstrings": ["010110", "011010", "011001", "101001", "111000", "011100"], "largest_eigenvalue": 4.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1168462545542617) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.1168462545542617) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.026972130850506856) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(0.1168462545542617) q[4];
cx q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[2], q[4];
rz(x0) q[4]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZZII",
"IZIZII",
"IIZIIZ",
"IZIIIZ",
"ZIIIIZ",
"IZZIII",
"ZIZIII",
"ZZIIII",
"IZZIIZ",
"ZIZIIZ",
"ZZIIIZ",
"ZZZIII",
"ZZZIIZ",
"ZIIIZI",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
-0.125,
-0.5,
-0.5,
-0.125,
-0.125,
-0.125
] | 0.970018 | [
0.1168462545542617,
-0.026972130850506856,
-0.20600931729682775,
1.0218307194447722,
1.01684782657755,
-0.487001181761455,
-0.18723924510216475,
-0.19363825099940243,
0.5083138681492403,
0.8592380923212168,
-1.1972997634823022,
-0.3747232322032641,
0.4021503991921809,
0.9788967940340897,
... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 114 |
-2995203001082432168 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 7], [1, 6], [8, 7], [1, 4], [4, 6], [3, 6], [1, 3], [1, 7], [2, 4], [1, 2], [3, 7], [4, 5], [2, 3], [5, 6], [8, 1], [3, 4], [0, 4], [1, 5], [0, 1], [2, 5], [8, 2], [0, 6], [0, 7], [6, 7]]} | {"states": [86, 425], "expectation_value": -0.2761121384575885, "params": [[-0.07730000000000001], [0.07830000000000001]], "bitstrings": ["110101001", "001010110"], "total_optimization_steps": 10, "probabilities": [0.0023518480755437858, 0.0023518480755437858], "optimization_time": 2.9544031620025635} | 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 20, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000100", "011000110", "000111011", "011010110", "011010010", "011010100", "01... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[2];
rz(-0.38703278943149944) q[2];
cx q[7], q[2];
cx q[7], q[1];
rz(-0.38703278943149944) q[1];
cx q[7], q[1];
cx q[2], q[1];
rz(-0.38703278943149944) q[1];
cx q[2], q[1];
cx q[7], q[6];
rz(-0.38... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[7], q[2];
rz(x0) q[2];
cx q[7], q[2];
cx q[7], q[1];
rz(x0) q[1];
cx q[7], q[1];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];... | null | {"circuits": [], "gradients": []} | [
"IZIIIIZII",
"IZIIIIIZI",
"IIIIIIZZI",
"IZZIIIIII",
"IIZIIIIZI",
"ZZIIIIIII",
"ZIIIIIZII",
"ZIIIIIIZI",
"IIIIZIZII",
"IIIIZIIZI",
"IIZIZIIII",
"IZIIIZIII",
"IIIIIZZII",
"IIIIIZIZI",
"IIZIIZIII",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIIIZI",
"IIZZIIIII",
"IIIZZIIII",
"IZIIIIIIZ",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.502407 | [
-0.38703278943149944,
-7.79434906086332e-9,
0.5647018111218762
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 101 |
b2ad92d1453e889b732cbfcfd082cd41 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [366, 234], "expectation_value": -19.089214946297666, "params": [[0.0369, 0.0011], [-0.076, -0.0412]], "bitstrings": ["010010001", "100010101"], "total_optimization_steps": 10, "probabilities": [0.005519744948082551, 0.006641384704826466], "optimization_time": 3.859896421432495} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-85.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 174.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(0.07331643645102212) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.07331643645102212) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.07331643645102212) q[1];
cx q[2], q[1];
h q[3];
cx q[0], q[3];
rz(0.07331643645102212) q[3];
cx q[0], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIZIIZII",
"IIIIIZIIZ",
"IIIZIZIII",
"IIIZZIIII",
"IIIIZZIII",
"IIZIIIIZI",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIIZIII",
"IIIIZIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
9.5,
22.5,
11.5,
20.5,
11.5,
0.5,
4.5,
19,
7.5
] | 0.956272 | [
0.07331643645102212,
1.3672231817191602,
-1.5677865044421424,
-1.6506634873926307,
-1.5934745094891105,
1.5118818624675805,
-1.7812763995064638,
1.3284599912179063,
1.1535493641022598,
-0.3699990203531776,
-0.6428687851956907,
-0.1084779865352908,
0.6312678235710382,
-0.49023685973430714,
... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -85.5,
"target_ratio": 0.97,
"target_value": -82.935
} | 500 |
c95ed1d577a091daf1cfa1a90361dc85 | 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": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "... | {"states": [126, 127], "expectation_value": -32.197640905323276, "params": [[[0.0022, -0.0027], [-0.0019, -0.0019], [-0.0037, 0.0024000000000000002], [-0.0019, 0.0027], [-0.0023, -0.0021000000000000003], [-0.0028, 3.0411], [-0.003, -0.0031000000000000003], [-0.0025, -0.0029000000000000002], [-0.0025, -0.0027], [0.0019,... | -3.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(4)) + -3.0 * (Z(5) @ Z(7)) + 1.0 * (Z(10) @ Z(7)) + -2.0 * (Z(10) @ Z(5)) + -2.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5... | 15 | 12 | 1 | {"smallest_eigenvalues": [-35.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.5, "smallest_bitstrings": ["111110000000"], "largest_eigenvalue": 38.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.07947454871081056) q[0];
ry(-0.05364837950580302) q[1];
ry(-0.24270543241349601) q[2];
ry(-0.05364837950580302) q[3];
ry(0.08844027656831496) q[4];
ry(0.05660799206365672) q[5];
ry(-0.07925118335274539) q[6];
ry(-0.04366032069448178) q[7];
ry(-0.04366032069448178)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIZZIII",
"IIIIZIZIIIII",
"IZIIZIIIIIII",
"IZIIIIZIIIII",
"IIIIZZIIIIII",
"IIIIIZZIIIII",
"IZIIIZIIIIII",
"IIIZZIIIIIII",
"IIIZIIZIIIII",
"IZIZIIIII... | [
-3,
0.5,
-2.5,
0.5,
-2.5,
0.5,
-2,
1,
0.5,
-3,
1,
-2,
-2.5,
0.5,
0.5,
-3.5,
1,
-3.5,
-3,
-3,
0.5,
0.5,
1,
-3,
1,
0.5,
0.5,
-3,
-2,
1.5,
-2.5,
1,
-1.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.97138 | [
0.07947454871081056,
-0.05364837950580302,
-0.24270543241349601,
0.08844027656831496,
0.05660799206365672,
-0.07925118335274539,
-0.04366032069448178,
0.03690577793837037,
2.5986456552648307,
-0.09979941908632953,
0.05615400140010667,
0.014917904981707877,
0.028203957941834126,
3.043107941... | {
"n_parameters": 19,
"n_qubits": 12,
"optimal_eigenvalue": -35.5,
"target_ratio": 0.97,
"target_value": -34.435
} | 15 |
1186103e935f6770b36dcaf31ab8cdf7 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [98, 97], "expectation_value": -4.819621799300961, "params": [0.6013000000000001, 0.0007, 0.6011000000000001, -0.0016, -0.0027, 0.32070000000000004, 0.0536, 0.4112, 0.0022, 0.35900000000000004, 0.5993, 0.38120000000000004, 0.599, 0.38320000000000004, 0.6007, 0.0008, 0.6061000000000001, -0.001, 0.002, 0.36560... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(2) + -1.0 * Z(0) + -1.5 *... | 3 | 7 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["0011101", "0011110", "1010101"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.0085803528727126) q[0];
rz(-0.24026560563952204) q[0];
rx(1.0374082032569305) q[1];
rz(-0.23035514857546602) q[1];
rx(-0.08570401922231015) q[2];
rz(0.296306019900598) q[2];
rx(0.06592108549781109) q[3];
rz(0.611842747993478) q[3];
rx(0.10561376669133431) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IIIIZZI",
"IIZIIZI",
"IZIIZII",
"IZZIIII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"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,
-1,
-1.5,
-2.5,
-0.5,
-1,
-1
] | 0.971519 | [
1.0085803528727126,
-0.15242536983545654,
1.0374082032569305,
-0.09769714554756243,
-0.08570401922231013,
0.2869825256750739,
0.06592108549781107,
0.7350957423627515,
0.10561376669133432,
0.2569124181689957,
1.0976565644493625,
0.27993659704287666,
0.4217338145392744,
0.7290723505448091,
... | {
"n_parameters": 57,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 18 |
5faf92f81d9af9e15121150910117684 | 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}], "edges": [{"... | {"states": [126, 118], "expectation_value": -60.511897015566674, "params": [0.8446, 0.0047, 3.0996, 0.009000000000000001, 3.0852, 0.0051, 3.0872, 0.0078000000000000005, 1.5201, 0.0041, 3.0847, 0.00030000000000000003, 3.0973, 0.0037, -0.0021000000000000003, 0.0005, 0.0037, 0.0002, 0.0023, 0.0076, 0.0094, 0.0075000000000... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(5) @ Z(6)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(6)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(4) @ Z(6)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(7) @ Z(1)) + 15.0 * Z(1) + 5.5 * Z(0) + 7.0 * Z(2) + 15.0 * Z(6) + 14.0 * Z(5) + 15.5 * Z(3... | 18 | 8 | 1 | {"smallest_eigenvalues": [-68.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 134.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.17127326973723245) q[0];
rz(-0.27169049857826844) q[0];
rx(3.0936762906248108) q[1];
rz(-0.04699152058171559) q[1];
rx(3.286841076107852) q[2];
rz(0.1019338595720527) q[2];
rx(3.2763909276853282) q[3];
rz(-0.08471720901956722) q[3];
rx(0.7644944767071588) 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]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IZZIIIII",
"IIIIZIIZ",
"IZIIZIII",
"IIZIZIII",
"IZIZIIII",
"IIZZIIII",
"IIIZZIII",
"ZIIIIIZI",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
15,
5.5,
7,
15,
14,
15.5,
10,
-2.5
] | 0.97252 | [
0.17127326973723245,
-0.34018496913843155,
3.0936762906248108,
-0.04699152058171559,
3.286841076107852,
0.1019338595720527,
3.2763909276853282,
-0.08471720901956722,
0.7644944767071588,
0.07014174100404161,
3.0096369548077133,
-0.31971342740529207,
3.0560457123361022,
0.1369889411203261,
... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -68.5,
"target_ratio": 0.97,
"target_value": -66.445
} | 9 |
c207a7b4cd3f0efb0fa44764eec6604a | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 6, "source": 2, "target": 1}, {"capacity": 5, "source": 2, "target": 4}, {"capacity": 5, "so... | {"states": [6647, 6615], "expectation_value": -44.796170897059476, "params": [0.7747, -0.0196, 0.7809, -0.0004, 0.0058000000000000005, 0.6155, 0.0033, 0.7563000000000001, 0.7756000000000001, -0.0034000000000000002, 0.7865000000000001, 0.007500000000000001, 0.79, 0.0005, 0.5912000000000001, 0.5057, 0.8467, 0.2948, -0.00... | 0.5 * (Z(0) @ Z(4)) + 2.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(0)) + 3.0 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + 6.0 * (Z(6) @ Z(5)) + 1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + 2.0 * (Z(1) @ Z(5)) + 3.0 * (Z(1) @ Z(6)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(5)) + -1.5 * (Z(2) @ Z(6)) + -0.5 * (Z(10) @ ... | 18 | 13 | 4 | {"smallest_eigenvalues": [-45.33333333333333, -45.33333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -44.5, "smallest_bitstrings": ["0011000110000", "0011000101000"], "largest_eigenvalue": 156.66666666666669} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.03919900404802914) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.26038955357752364) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(0.12295043049294087) q[5];
cx q[0], q[5];
h q[6];
cx q[4], q[6];
rz(0.0080972549082... | 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": []} | [
"IIIIIIIIZIIIZ",
"IIIIIIIZZIIII",
"IIIIIIIZIIIIZ",
"IIIIIIZIZIIII",
"IIIIIIZIIIIIZ",
"IIIIIIZZIIIII",
"IIIIIIIIZIIZI",
"IIIIIIIIIIIZZ",
"IIIIIIIZIIIZI",
"IIIIIIZIIIIZI",
"IIIIIIIIZIZII",
"IIIIIIIZIIZII",
"IIIIIIZIIIZII",
"IIZIIIIIZIIII",
"IIZIIIIZIIIII",
"IIZIIIZIIIIII",
"IIZIIIIIIIZ... | [
0.5,
2,
1,
3,
1.5,
6,
1,
0.8333333333333334,
2,
3,
-0.5,
-1,
-1.5,
-0.5,
-1,
-1.5,
0.5,
-1,
-2,
-3,
1,
2,
-1,
-2,
-3,
1,
2,
4,
-1,
-2,
-3,
0.8333333333333334,
1,
2,
2,
0.5,
1,
1.5,
-0.5,
-0.5,
-1,
-1,
-1,
1,
2,
3,
-1,
-1,
... | 0.905976 | [
0.03919900404802914,
0.26038955357752364,
0.12295043049294087,
0.008097254908228992,
0.027479073566993174,
0.09066750514128945,
0.05034812036080168,
0.05893931162781403,
0.000643074169123192,
-0.0879529644722815,
-0.03821017457563514,
-0.1332070244658603,
0.19942511798644225,
1.05719982605... | {
"n_parameters": 60,
"n_qubits": 13,
"optimal_eigenvalue": -45.33333333333333,
"target_ratio": 0.97,
"target_value": -43.97333333333333
} | 500 |
-4740364187824343306 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 3], [1, 4, 5], [2, 3, 4], [0, 1, 4]]} | {"states": [39, 26], "expectation_value": -0.030788192311531633, "params": [[0.0709], [-0.0697]], "bitstrings": ["011000", "100101"], "total_optimization_steps": 10, "probabilities": [0.01639770427311088, 0.016399213792859964], "optimization_time": 1.5384299755096436} | 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(4... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.4999999999999998, -1.4999999999999998], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.1666666666666667, "smallest_bitstrings": ["100101", "011000"], "largest_eigenvalue": 3.4999999999999987} | 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(1.4800180437236334) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(0.24353117739512029) q[4];
cx q[3], q[4];
cx q[1], q[4];
cx q[3], q[2];
rz(0.24353117739512029) q[2];
cx q[3], q[2];
rz(0.24353117739511987) q[3];
rx(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(x1) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(x2) q[4];
cx q[1], q[4];
cx ... | null | {"circuits": [], "gradients": []} | [
"IIZIZI",
"IZZIII",
"IZIIZI",
"ZIIIZI",
"ZZIIII",
"IIZZII",
"IZIZII",
"IIIIZZ",
"IZIIIZ",
"IIZIII",
"IIIIZI",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIIIIZ"
] | [
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666663,
0.33333333333333326,
0.4999999999999999,
0.16666666666666666,
0.16666666666666666,
0.1666666666... | 0.632494 | [
1.4800180437236334,
0.24353117739512029,
-0.16262981076719757,
-0.9029910224293158
] | {
"n_parameters": 4,
"n_qubits": 6,
"optimal_eigenvalue": -1.4999999999999998,
"target_ratio": 0.97,
"target_value": -1.4549999999999998
} | 108 |
-4717766636876772498 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[11, 5], [0, 2, 3, 5, 6, 7, 9, 10], [0, 1, 2, 3, 4, 8, 9, 10, 11], [0, 3, 4, 7, 8, 9, 10, 11], [5, 7, 8, 9, 10], [0, 1, 2, 6, 7, 10, 11], [9, 7, 1, 6], [1, 2, 4, 7, 10, 11], [0, 1, 2, 3, 4, 5, 6, 7], [0, 1, 2, 5, 8, 9, 10]]} | {"states": [3997, 3869], "expectation_value": -1.8175356361321038, "params": [1.4933, 1.4891, 1.4575, 1.472, 1.4886000000000001, 1.4892, 1.4878, 1.4846000000000001, 0.4897, 0.6299, 0.26080000000000003, 0.23900000000000002, 0.6674, 0.8582000000000001, 1.4878, 1.4854, 1.487, 1.4847000000000001, 1.3259, 1.4862, 1.49050000... | 0.5 * (Z(11) @ Z(5)) + 0.05952380952380952 * (Z(0) @ Z(5)) + 0.05555555555555555 * (Z(0) @ Z(11)) + 0.05952380952380952 * (Z(2) @ Z(5)) + 0.07103174603174603 * (Z(2) @ Z(11)) + 0.09722222222222221 * (Z(2) @ Z(0)) + 0.03571428571428571 * (Z(3) @ Z(5)) + 0.031746031746031744 * (Z(3) @ Z(11)) + 0.06746031746031746 * (Z(3)... | 14 | 12 | 1 | {"smallest_eigenvalues": [-2.1976190476190474], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1857142857142855, "smallest_bitstrings": ["000011100010"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.3509767317001897) q[0];
rz(pi/2) q[0];
ry(1.6843476357218514) q[1];
ry(1.8580960357493024) q[2];
ry(1.7405486626516422) q[3];
ry(0.05445042079575768) q[4];
ry(-0.12125490545133485) q[5];
ry(0.17109792030489454) q[6];
ry(1.7405486626516422) q[7];
ry(1.7322291031968... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"ZIIIIIZIIIII",
"IIIIIIZIIIIZ",
"ZIIIIIIIIIIZ",
"IIIIIIZIIZII",
"ZIIIIIIIIZII",
"IIIIIIIIIZIZ",
"IIIIIIZIZIII",
"ZIIIIIIIZIII",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIZZIIIII",
"ZIIIIZIIIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIIZIII",
"IIIIZIZIIIII",
"ZIIIZIIIIIII",
"IIIIZIIII... | [
0.5,
0.05952380952380952,
0.05555555555555555,
0.05952380952380952,
0.07103174603174603,
0.09722222222222221,
0.03571428571428571,
0.031746031746031744,
0.06746031746031746,
0.0496031746031746,
0.03571428571428571,
0.023809523809523808,
0.05952380952380952,
0.05952380952380952,
0.0357142... | 0.97531 | [
1.3509767317001897,
1.6843476357218514,
1.8580960357493024,
1.7405486626516422,
0.05445042079575768,
-0.12125490545133485,
0.17109792030489454,
1.732229103196811,
1.8932456717643966,
1.157296162226615,
1.4226422264859728,
0.23794046604909655,
0.7796879955818399,
0.3333442629085175,
0.521... | {
"n_parameters": 47,
"n_qubits": 12,
"optimal_eigenvalue": -2.1976190476190474,
"target_ratio": 0.97,
"target_value": -2.131690476190476
} | 45 |
-6097584728090683732 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 4, 7], [0, 5, 6, 7], [2, 3, 6], [0, 3, 6, 7], [0, 4, 6], [1, 3, 4], [0, 3, 5], [2, 4, 5, 6, 7], [0, 1, 2, 5, 7], [1, 3, 6, 7], [0, 1, 2, 4]]} | {"states": [186, 185], "expectation_value": -2.532071775789277, "params": null, "bitstrings": ["01000101", "01000110"], "total_optimization_steps": 40, "probabilities": [0.0300059665119387, 0.9275462294900509], "optimization_time": 60.30657339096069} | 0.3333333333333333 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.25 * (Z(7) @ Z(3)) + 0.3 * (Z(7) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.3 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(4)) + 0.18333333333333335 * (Z(5) @ Z(7)) + 0.3333333333333333 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5666666666666673], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.366666666666667, "smallest_bitstrings": ["01000110"], "largest_eigenvalue": 11.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.5360970985991251) q[0];
h q[1];
ry(-0.23015424612035934) q[1];
h q[2];
ry(1.0119228435275902) q[2];
h q[3];
ry(1.4759258145277014) q[3];
h q[4];
cx q[4], q[1];
ry(0.23015424612035934) q[1];
cx q[4], q[1];
ry(-0.3411774072741822) q[1];
ry(0.8602107182036102)... | 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(1.5658) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIZIZIII",
"IIZIIIIZ",
"IIZZIIII",
"ZIZIIIII",
"IZIIZIII",
"IZIIIIIZ",
"IZIZIIII",
"ZZIIIIII",
"IZZIIIII",
"IIIIZZII",
"IIIIIZIZ",
"IIIZIZII",
"ZIIIIZII",
"IIZIIZII",
"IZIIIZII",
"IIIIZIZI",
"IIIIIIZ... | [
0.3333333333333333,
0.25,
0.3333333333333333,
0.25,
0.3,
0.13333333333333333,
0.16666666666666666,
0.3,
0.05,
0.18333333333333335,
0.3333333333333333,
0.3333333333333333,
0.21666666666666667,
0.3,
0.13333333333333333,
0.16666666666666666,
0.13333333333333333,
0.13333333333333333,
... | 0.981802 | [
1.5360970985991251,
1.4759258145277014,
1.0119228435275902,
-0.7492728666386724,
0.6946123510120716,
-0.4616472643830476,
0.5421794829399638,
0.5275910719447583,
-0.42726106543483744,
-0.4603084922407187,
0.5713897504066152,
-0.6823548145483644,
0.5776419355939898,
-0.5434048621196681,
-... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -2.5666666666666673,
"target_ratio": 0.97,
"target_value": -2.4896666666666674
} | 1 |
98ff52dd3a46eb29e6baf499c47cc739 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1,... | {"states": [357, 421], "expectation_value": -1.257131460783023, "params": [0.0135, 0.013000000000000001, 0.8256, 0.773, 1.1021, 0.6725, 0.7371000000000001, 0.6902, 0.7934, 0.7923, 0.0016, -0.0097, -0.002, 0.0006000000000000001, 0.7901, 0.7863, 0.0022, 0.0082, 0.7993, 0.7775000000000001, -0.0112, 0.004200000000000001, 0... | 0.25 * (Z(0) @ Z(1)) + -0.0006944444444444446 * (Z(2) @ Z(0)) + -0.0006944444444444446 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006944444444444446 * (Z(4) @ Z(0)) + -0.0013888888888888892 * (Z(4) @ Z(2)) + -0.0006944444444444446 * (Z(5) @ Z(1)) + -0.0013888888888888892 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 13 | 10 | 2 | {"smallest_eigenvalues": [-1.261111111111112], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.2611111111111115, "smallest_bitstrings": ["1001011010"], "largest_eigenvalue": 1.261111111111111} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1168462545542617) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.1168462545542617) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.026972130850506856) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(0.1168462545542617) q[4];
cx q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIIIZIIIZI",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIZIIIIIZ",
"IIIZIIIZII",
"IIIZIZIIII",
"IIZIIIIIZI",
"IIZIIIZIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IZIIIIIIIZ",
"IZIIIIIZII",
"IZIIIZIIII",
"IZIZIIIIII"... | [
0.25,
-0.0006944444444444446,
-0.0006944444444444446,
0.25,
-0.0006944444444444446,
-0.0013888888888888892,
-0.0006944444444444446,
-0.0013888888888888892,
0.25,
-0.0006944444444444446,
0.0006944444444444445,
0.0006944444444444445,
-0.0006944444444444446,
0.0006944444444444445,
0.0006944... | 0.970018 | [
0.1168462545542617,
-0.026972130850506856,
-0.20600931729682775,
1.0218307194447722,
1.01684782657755,
-0.487001181761455,
-0.18723924510216475,
-0.19363825099940243,
0.5083138681492403,
0.8592380923212168,
-1.1972997634823022,
-0.3747232322032641,
0.4021503991921809,
0.9788967940340897,
... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 114 |
af1426b93324259832bd09f6b200fbec | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 7}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 3}, {"capac... | {"states": [512, 511], "expectation_value": -11.014159715262224, "params": [[[0.0034000000000000002, -0.1316], [0.0047, 0.0021000000000000003], [0.0019, 0.0021000000000000003], [0.0041, 0.002], [0.0076, 0.0021000000000000003], [0.0051, 0.0022], [0.0058000000000000005, 0.0025], [0.0041, 0.0025], [0.0044, 0.0274], [1.589... | -0.75 * (Z(0) @ Z(7)) + -0.25 * (Z(8) @ Z(0)) + -0.5 * (Z(1) @ Z(7)) + -0.5 * (Z(1) @ Z(8)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(6) @ Z(7)) + -0.75 * (Z(6) @ Z(1)) + 1.25 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(8)) + -0.25 * (Z(9) @ Z(1)) + -0.5 * (Z(9) @ Z(4)) + -0.75 * (Z(2) @ Z(7)) + -0.25 * (Z(2)... | 15 | 10 | 2 | {"smallest_eigenvalues": [-11.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.75, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 14.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.43911436483686694) q[0];
ry(-0.20545358219657) q[1];
ry(-0.0271890858039193) q[2];
ry(0.04674427763555417) q[3];
ry(-0.05447203295459801) q[4];
ry(-0.05514422313844254) q[5];
ry(-0.2383450167822496) q[6];
ry(0.04674427763555417) q[7];
ry(-0.10250813188129523) q[8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIZ",
"IZIIIIIIIZ",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIZZIIIIII",
"IIIZIIIIZI",
"ZIIIIIIIIZ",
"ZZIIIIIIII",
"ZIIIIIIIZI",
"ZIIIIZIIII",
"IIZIIIIZII",
"IZIIIIIZII",
"IIIIIIZZII",
"IIIIIZIZII",
"ZIIIIIIZII",
"IIZIZIIIII",
"IIIIZIIIZI",
"IIIIZIZIII"... | [
-0.75,
-0.25,
-0.5,
-0.5,
-0.75,
-0.25,
-0.75,
-0.75,
1.25,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-1,
-0.75,
-0.25,
-0.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
1,
-0.25,
0.5,
1.5,
-1,
1.5,
-1.25,
-0.75,
-1.5,
0.25
] | 0.971425 | [
-0.43911436483686694,
-0.20545358219657,
-0.0271890858039193,
0.04674427763555417,
-0.05447203295459801,
-0.05514422313844254,
-0.2383450167822496,
-0.10250813188129523,
2.442855153977941,
-0.036655751480943057,
0.051962963254931493,
-0.026929773433202103,
-0.10425998713315338,
-0.01035847... | {
"n_parameters": 31,
"n_qubits": 10,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 34 |
13897d244e0881b4447dd2a9a298bf14 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [90, 27], "expectation_value": -4.499883759182657, "params": null, "bitstrings": ["0100101", "1100100"], "total_optimization_steps": 31, "probabilities": [1.6413751077527094e-05, 0.9999151790903411], "optimization_time": 28.186935663223267} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(6) + -1.0 * Z(1) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100100"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.030727019186459183) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.030727019186459183) q[1];
cx q[2], q[1];
rz(-1.5882059243987203) q[2];
rx(1.5243136193984859) q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.030727019186459183) 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(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIZIIIZ",
"ZIIIIIZ",
"IIIIZZI",
"IIZZIII",
"IIIZIZI",
"IZZIIII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1,
0,
-1,
-0.5,
-0.5
] | 0.98132 | [
0.030727019186459183,
-1.5882059243987205,
1.700638967703943,
-1.2603176422809077,
1.524313619398486
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 27 |
11576eab70c2ec583415b5e8bd58f9e2 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [7, 13], "expectation_value": -0.743171925089454, "params": [[0.0495], [-0.038400000000000004]], "bitstrings": ["111000", "110010"], "total_optimization_steps": 10, "probabilities": [0.017286873117343136, 0.017347545208300775], "optimization_time": 1.709160327911377} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 18 | 6 | 1 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3716796306065885) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.3716796306065885) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.3716796306065885) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.3716796306065885) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
1.75,
1.75,
1.75,
1.75,
1.75,
2,
2,
2,
1.75,
2,
2,
2,
2,
2,
1.75,
-0.75,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25
] | 0.698312 | [
-0.3716796306065885,
0.8727381071204077,
0.7179543098390148,
-0.19857375753212136,
0.8889599314407369,
-1.5807265779890087,
2.4860629174438844,
1.2068334987105587,
0.4724410059780224
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 259 |
ed17940d27aebadda70c31c5b11d2e16 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "ta... | {"states": [208, 209], "expectation_value": -2.4305244826882086, "params": [0.4939, 0.0031000000000000003, 0.5027, 0.0021000000000000003, 0.4979, -0.0018000000000000002, 0.5084000000000001, -0.0123, 0.2898, -0.1005, 0.22490000000000002, -0.1183, 0.2787, 0.005200000000000001, 0.5031, -0.0012000000000000001, 0.4870000000... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + -1.0 * Z(5) + -0.5 * Z(0) + -0.5 * Z(6) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(7) | 4 | 8 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["00101110"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.15866672171331941) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.15866672171331941) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.15866672171331941) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(-0.15866672171331941) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIZ",
"IZIIIIIZ",
"IIZIIIZI",
"IIIIIZZI",
"IIIIZZII",
"IIZZIIII",
"IIIZZIII",
"ZZIIIIII",
"ZIIZIIII",
"IIZIIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5
] | 0.971003 | [
-0.15866672171331941,
-1.0809071203107758,
-0.30064965839619345,
-0.5102877140178146,
-0.8733998782451885,
1.0885724300439001,
-1.0913168284595332,
0.13810257412133115,
0.9133195435550004,
1.5142771870202085,
-0.5131275809009203,
-1.1831791592560787,
-0.05769660481193879,
-1.33952116695893... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -70.5,
"target_ratio": 0.97,
"target_value": -68.385
} | 275 |
d641b238a610d42d2a4d2049e26c4a8c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 1, ... | {"states": [1, 97], "expectation_value": -5.540108055507038, "params": [[-0.0473, -0.047900000000000005, -0.0618, -0.026600000000000002], [0.0636, 0.057600000000000005, 0.0711, 0.0521]], "bitstrings": ["11111110", "10011110"], "total_optimization_steps": 10, "probabilities": [0.019219606345725317, 0.022342437746205354]... | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -2.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(6)) + -1.25 * (Z(7) @ Z(1)) + 2.5 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @... | 1 | 8 | 4 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["10011110"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7946463062368568) q[0];
h q[1];
h q[2];
ry(0.6186852872545041) q[2];
cx q[1], q[2];
ry(-0.6186852872545041) q[2];
cx q[1], q[2];
ry(1.5435180341782773) q[1];
ry(0.18224120531489832) q[2];
ry(-0.17608387131973435) q[3];
rz(-pi) q[3];
cx q[1], q[3];
ry(0.247... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IIIIIZZI",
"IZIIIZII",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIIZZIII",
"IZIIZIII",
"IIIIZZII",
"IIZIIIZI",
"IIZZIIII",
"IZZIIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIZII",
"ZIIIIIII",
"IIIIZIII",
"IIZIIIII"
] | [
-0.5,
-1.25,
-0.5,
-2.5,
-0.75,
-1.25,
2.5,
-1,
-1.25,
-1,
-0.25,
-0.75,
-0.75,
-1.25,
0.5,
-0.25,
0.5,
-0.75,
1.75,
1.25,
-4.5,
1.5
] | 0.970629 | [
-1.147417811859112,
1.2373705745090082,
1.5435180341782773,
-0.49458928723210044,
-1.5892926124737137,
-2.309415929446479,
0.36448241062979664,
-0.4538661237832402,
-0.06284718478532479,
0.1828448554015769,
-0.33230521476711383,
0.37352140419820384,
-0.07913749338643893,
0.3498126979268162... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 77 |
50803b752054f0512687e537ee7368f9 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}]} | {"states": [52, 21], "expectation_value": -2.4964491610978103, "params": null, "bitstrings": ["001011", "101010"], "total_optimization_steps": 22, "probabilities": [0.06701277438190029, 0.9297056987717313], "optimization_time": 12.295014381408691} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(5) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(2) + 0.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["001011", "101010", "111000", "110100"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-3.118963683468091) q[0];
ry(-0.017918109517936636) q[1];
rz(-pi) q[1];
h q[2];
ry(1.5232555292397325) q[2];
ry(-0.11982451051349112) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.0455035030484382) q[3];
cx q[2], q[3];
cx q[2], q[0];
ry(-0.07016976767686646) ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.4449) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"ZIIIIZ",
"IZIIIZ",
"IZIIZI",
"IIIZZI",
"IIZZII",
"ZIIIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-0.5,
-0.5,
-0.5,
-0.5,
0
] | 0.997671 | [
-1.5523952299069044,
-1.4054683132329673,
1.5232555292397325,
-0.0910070060968764,
0.14033953535373292,
-0.02773759371322497,
-0.0009659747401112133
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
683817228430363921 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 2, 3, 7], [3, 4, 5], [2, 4, 5, 7, 9], [1, 2, 4, 7, 8, 9], [0, 4, 5, 7, 8], [8, 9, 4, 5], [8, 1, 4, 6], [1, 2, 4, 5, 7, 8], [9, 2, 5, 6], [4, 5, 6, 7, 9], [0, 3, 5], [1, 2, 3, 5, 7, 9], [1, 4, 5, 6, 9], [1, 2, 3, 6, 8, 9], [0, 1, 3, 4, 7], [3, 4, 6, 7, 8, 9], ... | {"states": [995, 747], "expectation_value": -2.932256264068741, "params": [[0.2727], [-0.2614]], "bitstrings": ["0000011100", "0100010100"], "total_optimization_steps": 30, "probabilities": [0.0034033016275016674, 0.0035140129904904197], "optimization_time": 11.882264137268066} | 0.3 * (Z(0) @ Z(2)) + 0.23333333333333334 * (Z(3) @ Z(2)) + 0.41666666666666663 * (Z(3) @ Z(0)) + 0.2333333333333333 * (Z(7) @ Z(2)) + 0.3 * (Z(7) @ Z(0)) + 0.31666666666666665 * (Z(7) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(2)) + 0.3 * (Z(4) @ Z(0)) + 0.2833333333333333 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-4.466666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.449999999999998, "smallest_bitstrings": ["0100010100"], "largest_eigenvalue": 22.000000000000014} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[3];
rz(1.4399808860823373e-08) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-8.395276353679556e-08) q[3];
cx q[0], q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[7];
rz(1.4399808860823373e-08) q[7];
cx q[2], q[7];
cx q[2], 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": []} | [
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIZIIIIZII",
"IIZIIIIIIZ",
"IIZIIIZIII",
"IIIIIZIZII",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIZIIZIIII",
"IIIIZIIZII",
"IIIIZIIIIZ",
"IIIIZIZIII",
"IIZIZIIIII",
"IIIIZZIIII",
"ZIIIIIIZII",
"ZIIIIIIIIZ",
"ZIIIIIZIII",
"ZIZIIIIIII",
"ZIIIIZIIII"... | [
0.3,
0.23333333333333334,
0.41666666666666663,
0.2333333333333333,
0.3,
0.31666666666666665,
0.3333333333333333,
0.3,
0.2833333333333333,
0.3333333333333333,
0.3833333333333333,
0.26666666666666666,
0.44999999999999996,
0.21666666666666667,
0.5333333333333333,
0.23333333333333334,
0.... | 0.922917 | [
-3.1701235206058823e-10,
1.4399808860823373e-8,
-8.395276353679556e-8,
7.092015037152184e-8,
5.185105157431298e-9,
-5.769312142611513e-8,
-1.1701847467785141e-7,
1.0732023952260075e-7,
1.5707964854594143,
9.868953527571801e-8,
1.903465721594769e-8,
2.620791148753547e-7,
-1.5707959280703525,
... | {
"n_parameters": 29,
"n_qubits": 10,
"optimal_eigenvalue": -4.466666666666667,
"target_ratio": 0.97,
"target_value": -4.332666666666666
} | 500 |
30e28b56cad01a233ddf0894e9b7eaa8 | community_detection | adaptive_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": 2}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "... | {"states": [1385, 1386], "expectation_value": -1.2852984892678718, "params": null, "bitstrings": ["101010010110", "101010010101"], "total_optimization_steps": 100, "probabilities": [0.037568149246219706, 0.4904646177515497], "optimization_time": 288.88791012763977} | 0.25 * (Z(0) @ Z(1)) + -0.0006835937500000001 * (Z(2) @ Z(0)) + -0.0006835937500000001 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0009765625 * (Z(4) @ Z(0)) + -0.0009765625 * (Z(4) @ Z(2)) + -0.0009765625 * (Z(5) @ Z(1)) + -0.0009765625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00087890625 * (Z(6) @ Z(0)) + -0.000683... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.5167968749999998, -1.5167968749999998], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5070312500000003, "smallest_bitstrings": ["101010010101", "010101101010"], "largest_eigenvalue": 1.5113281250000008} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0007807485922482725) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0007807485922482725) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.0007807485922482725) q[3];
cx q[0], q[3];
rz(1.5622291020438395) q[0];
rx(1.4230915336570904) ... | null | {"communities_size": 3, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(-0.5945) 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] = measur... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.0006835937500000001,
-0.0006835937500000001,
0.25,
-0.0009765625,
-0.0009765625,
-0.0009765625,
-0.0009765625,
0.25,
0.00087890625,
-0.0006835937500000001,
0.0005859375000000001,
0.00087890625,
-0.0006835937500000001,
0.0005859375000000001,
0.25,
-0.0006835937500000001,
0.... | 0.972429 | [
0.0007807485922482725,
-1.3071662634992012,
1.5622291020438395,
-1.2862359945840747,
-1.0589387496736589,
0.9999795518288292,
-1.3272444682674918,
-1.4806765325928763,
1.2864952173532251,
1.4230915336570904,
0.5883822012299551,
1.5647805208249972,
0.48419941054809135,
1.7953393898312842,
... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 47 |
9c729b5be0000eb0159eb9ac078568bd | 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": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [510, 508], "expectation_value": -3.644864252698518, "params": [[-0.0829], [0.0796]], "bitstrings": ["000000001", "000000011"], "total_optimization_steps": 10, "probabilities": [0.004202226899071598, 0.004212004293398229], "optimization_time": 3.679438591003418} | -3.5 * (Z(0) @ Z(1)) + 1.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + 1.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(0)) + -2.0 * (Z(5) @ Z(4)) + -3.5 * (Z(2) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -3.5 * (Z(2) @ Z(4)) + -3.5 * (Z(2) @ Z(5)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -3.0... | 1 | 9 | 1 | {"smallest_eigenvalues": [-29.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["000000011"], "largest_eigenvalue": 27.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.48268363845088064) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.2996394225874646) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.7556898899184189) q[4];
cx q[0], q[4];
h q[5];
cx q[1], q[5];
rz(0.2996394225874646) q[5];
... | 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],... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIZIIZII",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIZIZIII",
"IIIIIZZII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIZIIII",
"IIZZIIIII",
"IIZIIIZII",
"IIZIIZIII",
"... | [
-3.5,
1,
-2.5,
1,
-2.5,
-2,
-3.5,
1.5,
-3.5,
-3.5,
-2.5,
0.5,
0.5,
0.5,
-3,
-2.5,
0.5,
0.5,
0.5,
-3,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.554221 | [
0.48268363845088064,
0.2996394225874646,
0.7556898899184189,
0.9147702193994192,
0.26828773045128257,
0.08984723281945137,
0.5779290956267576,
1.6118484430352855,
1.0220301804311394
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -29.5,
"target_ratio": 0.97,
"target_value": -28.615
} | 223 |
93f5686fd39e6a6c4d9331c2d208db96 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [1023, 63], "expectation_value": -32.04733165175465, "params": [[[0.0024000000000000002, 0.0053], [0.0024000000000000002, 0.0094], [0.0022, 0.0071], [-1.6189, 0.0025], [0.0024000000000000002, 0.0012000000000000001], [0.0025, 0.002], [0.0023, 0.0053], [0.0026000000000000003, 0.008], [0.0024000000000000002, 0.... | -2.5 * (Z(1) @ Z(2)) + -2.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(6)) + -3.0 * (Z(8) @ Z(6)) + -3.0 * (Z(8) @ Z(4)) + -3.0 * (Z(5) @ Z(6)) + 1.0 * (Z(5) @ Z(4)) + -3.0 * (Z(5) @ Z(8)) + 1.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(4)) + -3.0... | 2 | 10 | 1 | {"smallest_eigenvalues": [-33.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.0, "smallest_bitstrings": ["1111000000"], "largest_eigenvalue": 33.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.23209097533014042) q[1];
rz(-pi) q[1];
ry(-0.03816663693819833) q[2];
rz(-pi) q[2];
h q[3];
h q[4];
h q[5];
ry(0.9287275026498809) q[5];
h q[6];
ry(0.7386495579550908) q[6];
h q[7];
ry(1.4146489285453028) q[7];
h q[8];
ry(0.7287280426103545) q[8];
h q[9];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIZIZIIII",
"IZIZIIIIII",
"IZIIIZIIII",
"IIIZZIIIII",
"IIIIZZIIII",
"IZIIZIIIII",
"ZIIZIIIIII",
"ZIIIIZIIII",
"ZZIIIIIIII",
"ZIIIZIIIII",
"IIZZIIIIII",
"IIZIIZIIII",
"IZZIIIIIII",
"IIZIZIIIII"... | [
-2.5,
-2.5,
0.5,
-2.5,
0.5,
0.5,
-2.5,
-3,
-3,
-3,
1,
-3,
1.5,
0.5,
-3,
-2.5,
-3,
1,
-3,
1.5,
-2.5,
-2,
-1,
1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970495 | [
-1.6079746887124235,
-1.4353902677154227,
1.457456085220709,
1.8574550052997618,
1.4772991159101816,
0.02667737496466882,
2.8292978570906056,
-1.643531697371524,
3.0606269399484844,
-0.21274495758156375,
-0.09777519535141244,
-1.4754886714570175,
-0.0314151563493171,
-0.027019332995796435,... | {
"n_parameters": 66,
"n_qubits": 10,
"optimal_eigenvalue": -33,
"target_ratio": 0.97,
"target_value": -32.01
} | 335 |
747de4cdf6f4d8e013f44791f51c504b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [650, 651], "expectation_value": -81.56376448812274, "params": [[[0.6857000000000001, 0.0623], [0.7031000000000001, 0.0981], [0.10300000000000001, 0.14700000000000002], [0.6952, 0.1675], [0.0572, 0.1874], [0.49360000000000004, -0.0122], [0.09720000000000001, 0.0135], [0.6934, 0.2182], [0.1595, 0.2792], [0.03... | 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(6) @ Z(1)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(9) @ Z(2)) + 7.0 * (Z(8) @ Z(9)) + 7.0 * (Z(10) @ Z(3)) + 7.0 * (Z(10) @ Z(5)) + 3.5 * Z(2) + 8.5 * Z(1) + 17.0 * Z(3) + 4.0 * Z(4) + 1.5 * Z(5) + 7.5 * Z(7) + 1.0 * Z(6) + 10.0 *... | 15 | 11 | 4 | {"smallest_eigenvalues": [-112.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -100.5, "smallest_bitstrings": ["10101110100"], "largest_eigenvalue": 134.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.39535939766797756) q[0];
ry(0.4644658050227746) q[1];
ry(0.11718705652988126) q[2];
ry(0.8218374887811817) q[3];
ry(-0.0170198104097474) q[4];
ry(-0.13198341428182137) q[5];
ry(0.21388948458931742) q[6];
ry(0.5664897569283869) q[7];
ry(0.0029524894477538366) q[8];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIZIIZIIII",
"IIIIZIIIIZI",
"IIIZZIIIIII",
"IZIIIIIIZII",
"IZZIIIIIIII",
"ZIIIIIIZIII",
"ZIIIIZIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIIIZIIIIII",
"IZIIIIIIIII",
"IIZIIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
3.5,
8.5,
17,
4,
1.5,
7.5,
1,
10,
-6,
7.5,
-10
] | 0.97072 | [
0.39535939766797756,
0.4644658050227746,
0.11718705652988126,
0.8218374887811817,
-0.0170198104097474,
-0.13198341428182137,
0.21388948458931742,
0.5664897569283869,
0.0029524894477538366,
0.3375587501128605,
0.9600574472566636,
-0.000458432916021506,
-0.0162907667961763,
-0.07256545102351... | {
"n_parameters": 87,
"n_qubits": 11,
"optimal_eigenvalue": -112.5,
"target_ratio": 0.97,
"target_value": -109.125
} | 74 |
-4376730360070844524 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2], [0, 1], [1, 3, 5], [3, 4], [0, 6]]} | {"states": [53, 57], "expectation_value": -2.121625080673516, "params": null, "bitstrings": ["1001010", "1000110"], "total_optimization_steps": 44, "probabilities": [0.04956132471336984, 0.8200761357681932], "optimization_time": 35.32110285758972} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.16666666666666663 * Z(1) + 0.16666666666666663 * Z(3) + 0.16666666666666666 * Z(5) + 0.0 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.3333333333333335, -2.3333333333333335, -2.3333333333333335], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0000000000000004, "smallest_bitstrings": ["0110101", "1000110", "1001000"], "largest_eigenvalue": 2.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.15061000428111818) q[0];
h q[1];
ry(1.444008718383097) q[1];
h q[2];
h q[3];
h q[4];
ry(-0.15061000428111818) q[4];
cx q[3], q[4];
ry(0.15061000428111818) q[4];
cx q[3], q[4];
ry(0.973208015239006) q[3];
cx q[1], q[3];
ry(-0.21734434613309012) q[3];
cx 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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIIIZIZ",
"IIIIIZZ",
"IIIZIZI",
"IZIIIZI",
"IZIZIII",
"IIZZIII",
"ZIIIIIZ",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0,
0,
0.16666666666666663,
0.16666666666666663,
0.16666666666666666,
0,
0
] | 0.976815 | [
-0.30122000856223635,
1.444008718383097,
-0.37729077710146425,
1.4570085845463192,
1.1510173379726942,
-0.9450223133333601,
0.7558636691059158,
-0.5999739377217299,
0.43468869226618023,
-0.6298424519610241,
0.07533181386399582,
-0.9169987001816537,
0.4236947265923818,
0.21390852502775792,
... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -2.3333333333333335,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 16 |
7e23eef08dcdb4e5133f79c5680febb8 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [3839, 3327], "expectation_value": -25.513522340747542, "params": [0.31720000000000004, -0.0027, 0.30610000000000004, -0.0085, -0.14250000000000002, 0.0224, -0.2556, 0.011600000000000001, 0.452, 0.0022, 0.4777, 0.0001, 0.49160000000000004, -0.0103, 0.49810000000000004, -0.017400000000000002, 0.48660000000000... | -0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 1.0 * (Z(6) @ Z(5)) + -1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(5)) + -1.0 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(9)) + 1.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(7)) + 0.5 * (Z(11... | 6 | 14 | 2 | {"smallest_eigenvalues": [-27.833333333333044], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.83333333333266, "smallest_bitstrings": ["11001100000000"], "largest_eigenvalue": 73.1666666666668} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
ry(0.9697042079768213) q[0];
ry(0.02137141410040138) q[1];
ry(-0.6584530523431026) q[2];
ry(0.8085638439349074) q[3];
ry(-0.09039089717759916) q[4];
ry(-0.8567762635500705) q[5];
ry(0.22205659028297364) q[6];
ry(1.220541338251762) q[7];
ry(0.959214360246603) q[8];
ry(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIIIIIIIZIIIZ",
"IIIIIIIIZZIIII",
"IIIIIIIIZIIIIZ",
"IIIIIIIZIZIIII",
"IIIIIIIZIIIIIZ",
"IIIIIIIZZIIIII",
"IIIIIIIIIZIIZI",
"IIIIIIIIIIIIZZ",
"IIIIIIIIZIIIZI",
"IIIIIIIZIIIIZI",
"IIIIZIZIIIIIII",
"IIIZZIIIIIIIII",
"IIIZIIZIIIIIII",
"IIZIZIIIIIIIII",
"IIZIIIZIIIIIII",
"IIZZIIIIIIIIII"... | [
-0.5,
1,
-1,
0.5,
-0.5,
1,
-1,
0.8333333333333334,
-2,
-1,
0.5,
1,
1,
0.5,
0.5,
1,
1,
2,
2,
1,
0.5,
1,
1,
2,
0.8333333333333334,
-0.5,
-1,
-0.5,
-1,
-1,
-2,
-1,
-2,
2,
0.5,
-0.7499999999999998,
1,
0.5,
-1.4999999999999998,
3.5,
5,
7,
... | 0.97152 | [
0.9697042079768213,
0.02137141410040138,
-0.6584530523431026,
0.8085638439349074,
-0.09039089717759916,
-0.8567762635500705,
0.22205659028297364,
1.220541338251762,
0.959214360246603,
0.20299378187023998,
1.1998495248517866,
-0.08788875140151774,
1.3343632175648381,
0.12120878242922446,
... | {
"n_parameters": 106,
"n_qubits": 14,
"optimal_eigenvalue": -27.833333333333176,
"target_ratio": 0.97,
"target_value": -26.99833333333318
} | 74 |
95b1142ae8d79cc944e68dc71d440182 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [32, 1], "expectation_value": -1.6853478295844782, "params": [[0.07390000000000001, 0.06570000000000001, -0.037700000000000004], [-0.0811, -0.075, -0.0251]], "bitstrings": ["011111", "111110"], "total_optimization_steps": 10, "probabilities": [0.03038020810406649, 0.03121352531776262], "optimization_time": 3... | -0.75 * (Z(0) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(1) @ Z(3)) + -2.75 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 0.25 * Z(3) + -0.25 * Z(0) + 0.25 * Z(5) + -0.25 * Z(2) + -1.25 * Z(1) + 1.25 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000", "111110", "110000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.7452102939404112) q[0];
ry(-0.29282599220256483) q[1];
rz(-pi) q[1];
h q[2];
ry(0.7800172314783907) q[2];
h q[3];
h q[4];
ry(0.8044577856235101) q[4];
cx q[3], q[4];
ry(-0.8044577856235101) q[4];
cx q[3], q[4];
ry(1.2080582990283706) q[3];
ry(0.48108184132... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"ZIIIIZ",
"ZIIZII",
"IIZIZI",
"IZZIII",
"IZIZII",
"IZIIZI",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IIIIZI",
"IZIIII"
] | [
-0.75,
1,
-0.75,
-0.75,
-2.75,
-1,
-0.5,
0.25,
-0.25,
0.25,
-0.25,
-1.25,
1.25
] | 0.974145 | [
1.6089155712470202,
1.0304510352944072,
0.4810818413241434,
0.3552145274679267,
1.5600344629567815,
1.6286797946394622,
-1.4904205878808223,
-1.2881797724217239,
-0.016202039678616637,
0.011782440981039097,
0.020418875658783947,
0.006648626917140368,
-0.03701390813287764,
-0.02840884860849... | {
"n_parameters": 22,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 2 |
62ca4fdc3f835f51dee1780376d2bf19 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [50, 38], "expectation_value": -0.19630506462353067, "params": [[0.0707], [-0.0756]], "bitstrings": ["001101", "011001"], "total_optimization_steps": 10, "probabilities": [0.017663197883111426, 0.017663197883111433], "optimization_time": 1.1124210357666016} | 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(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "011001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.03311259666018414) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-0.03311259666018414) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0.03311259666018414) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(-0.033... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(x0) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"ZIIZII",
"ZIIIIZ",
"IIIZZI",
"ZIZIII",
"IIZIZI",
"IZIZII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-0.5,
-0.5,
-0.5
] | 0.970979 | [
-0.03311259666018414,
-0.926740016131006,
1.1332781721574576,
-0.6828999435483087,
0.048848077717694956,
-0.6892557923561745,
-0.9341746867604942,
-1.0526159075651214,
1.562787464657171,
-0.6479653873188044,
-0.7809022078920977,
-0.48800858196832586,
-0.05786698635618916,
-3.23403462105192... | {
"n_parameters": 16,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 139 |
2df93713dba52fbc8f2926f6b2fd57be | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 3, ... | {"states": [29, 31], "expectation_value": -5.8546769839357795, "params": null, "bitstrings": ["11100010", "11100000"], "total_optimization_steps": 40, "probabilities": [0.41767691116306144, 0.419333279531861], "optimization_time": 32.411768674850464} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(4) @ Z(7)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(2) + 0.0 * Z(7) + 1.0 * Z(3) + 0.75 * Z(4) + 0.25 * Z(5) + 0.0 * Z(6) | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["11100110", "11100000", "11100010"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.2949175491820306) q[0];
ry(-0.5718315361379981) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.014198824758824193) q[2];
h q[3];
ry(0.8153655793536955) q[3];
h q[4];
ry(1.7358025262701822) q[4];
ry(-3.1020867817151703) q[5];
rz(-pi) q[5];
h q[6];
cx q[6], q[5];
r... | 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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZIZ",
"ZIIIIIIZ",
"IIIIZZII",
"ZIIIZIII",
"ZIIZIIII",
"IIZZIIII",
"IZIIIZII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"ZIIIIIII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.5,
-0.25,
1,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-1.25,
0,
1,
0.75,
0.25,
0
] | 0.978876 | [
-1.6615171206744725,
1.7358025262701822,
-0.5898350983640612,
1.4494700949935044,
1.630731158707391,
-0.961733679987851,
1.4386247151708065,
0.06190878182737325,
-0.37241896942618374,
0.1853314794989342,
0.12371533057551468,
-0.07230134059792101,
-0.818259384585675,
0.003388180207093014,
... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 12 |
16e531ebd5c4fa365456c9500ea8e716 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [11, 49], "expectation_value": -0.5831675745598954, "params": [[-0.0327, -0.0455, -0.0521], [0.0373, 0.0499, 0.054]], "bitstrings": ["1110100", "1001110"], "total_optimization_steps": 10, "probabilities": [0.010488332036498519, 0.01049580606698639], "optimization_time": 9.021804571151733} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(2) + 0.0 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1001110", "1010110", "1110100"], "largest_eigenvalue": 11.5} | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"IZIIIZI",
"IZIIIIZ",
"IZZIIII",
"ZIIIIIZ",
"ZIZIIII",
"IZIIZII",
"IIIZZII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-1.5,
-1.5,
-0.5,
-0.5,
0
] | 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 |
70084b84ab6bcd1923895c004533d5a8 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, ... | {"states": [930, 938], "expectation_value": -1.9918007175718841, "params": [1.1046, -0.0037, 1.099, 0.0026000000000000003, 1.1108, 0.0016, -0.0066, -0.0198, 1.1051, 0.005, 0.4984, -0.3114, 0.8586, -0.3103, 0.2549, 0.4474, 1.0989, 0.2899, 0.5226000000000001, 0.3766, 1.1011, 0.0007, 1.0983, 0.0082, 1.1108, 0.003600000000... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 16 | 10 | 2 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5625, "smallest_bitstrings": ["0001101100", "0101010010", "1001000101", "0001010110", "0001010101", "0001001101", "0001011100"], "largest_eigenvalue": 6.4375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.4960585747588648) q[0];
h q[1];
ry(-0.5052428947976614) q[1];
h q[2];
ry(-0.5772024041563384) q[2];
h q[3];
cx q[3], q[2];
ry(0.5772024041563384) q[2];
cx q[3], q[2];
ry(-0.6843464657039956) q[2];
ry(0.973719037814723) q[3];
h q[4];
ry(1.7203592481318517) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIZIIZZ",
"IIIIIIZZIZ",
"IIIIIZIZIZ",
"IIIIIZZIIZ",
"IIIIIIZZZI",
"IIIIIZIZZI",
"IIIIIZZIZI",
"IIIIIZZZII"... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,... | 0.991463 | [
-1.4960585747588648,
-1.5174008634150173,
1.7203592481318517,
-1.0104857895953228,
-1.1544048083126768,
0.7914555896480011,
-0.5119869416647143,
0.36452689633344415,
-0.34471904807856296,
0.48328583578776585,
0.26529526617155025,
-0.053145709070203745,
-0.01628721250378412,
0.0760722069734... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
ff4d8612be902cee01cbb69055101657 | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [49, 19], "expectation_value": -2.610994139215178, "params": null, "bitstrings": ["1001110", "1101100"], "total_optimization_steps": 26, "probabilities": [0.10413244479778992, 0.8723021466845519], "optimization_time": 35.8737256526947} | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(6) @ Z(0)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(6) @ Z(4)) + -0.125 * (Z(4) @ Z(0) @ Z(2)) + -0.125 * (Z(6) @ Z(0) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.625, -2.625, -2.625, -2.625, -2.625], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.625, "smallest_bitstrings": ["1001110", "1010110", "1100110", "1100101", "1101100"], "largest_eigenvalue": 5.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.004484549636475071) q[0];
cx q[4], q[0];
rz(0.7328109886623113) q[0];
rx(-0.8007113399707768) q[0];
cx q[4], q[1];
rz(-0.004484549636475071) q[1];
cx q[4], q[1];
cx q[1], q[3];
rz(-0.004484549636475071) q[3];
... | 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(-1.5158) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"IIIZZZI",
"IZIIIZI",
"IIIIZIZ",
"IIZIIIZ",
"ZIIIIIZ",
"IIZIZII",
"ZIIIZII",
"ZIZIIII",
"IIZIZIZ",
"ZIIIZIZ",
"ZIZIIIZ",
"ZIZIZII",
"ZIZIZIZ",
"IZIZIII",
"ZIIZIII",
"ZZIIIII",
"ZZIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZ... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
-0.625,
-0.25,
0.125,
0,
-0.625,
-0.25,
0.125
] | 0.988988 | [
-0.004484549636475071,
-1.0690450112060856,
0.7328109886623114,
-1.0758900725224467,
0.8535075540902197,
-0.8007113399707768,
0.07221895186456898,
-0.520197576338447,
-0.671789822082748,
0.6519376481542358,
-0.8638708047021346,
0.2718423097134407,
-0.8220673049085121,
-0.492579786025785,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 32 |
8c44c442a25e00dfae4e1647b2faf79f | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [6, 3], "expectation_value": -4.107138272373518, "params": [[-0.07200000000000001, -0.055400000000000005, -0.050800000000000005], [0.07980000000000001, 0.0742, 0.0732]], "bitstrings": ["11001", "11100"], "total_optimization_steps": 10, "probabilities": [0.06945953221582965, 0.07446195085970435], "optimizatio... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 1.75 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 6 | 5 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022216824968526526) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022216824968526526) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022216824968526526) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.6284369302106981) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
2,
1.75,
1.75,
2,
2,
1.75,
-2.75,
-2.5,
-2.75,
-2.5,
-2.5
] | 0.720045 | [
0.022216824968526526,
0.6284369302106981,
-1.317266113042237,
0.027624710446691313,
-0.865652482486156
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 144 |
5d474162f07dfb1b3248afb7c4b90a85 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, ... | {"states": [17, 3], "expectation_value": -15.444975537207485, "params": [[-0.0362, 0.051800000000000006, 0.0298, 0.0165], [0.07350000000000001, -0.038, -0.038700000000000005, -0.0434]], "bitstrings": ["1101110", "1111100"], "total_optimization_steps": 10, "probabilities": [0.015863483264873135, 0.016992194524993304], "... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 2.75 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 2... | 13 | 7 | 4 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.75, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.33842977011630987) q[0];
rz(-0.1108368416663894) q[0];
rx(0.3147269537321503) q[1];
rz(0.4403416265327494) q[1];
rx(-0.051370858575326604) q[2];
rz(-0.22672638531976275) q[2];
rx(0.03931970306589702) q[3];
rz(0.9073276713830547) q[3];
rx(0.0661833452113321) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
2.75,
3,
3,
2.75,
3,
2.75,
3,
3,
3,
3,
-10,
-10.5,
-10,
-10,
-10.25,
-9.5,
-9.25
] | 0.976782 | [
-0.33842977011630987,
-0.1108368416663894,
0.3147269537321503,
0.4403416265327494,
-0.051370858575326604,
-0.22672638531976275,
0.03931970306589702,
0.9073276713830547,
0.0661833452113321,
-0.5231724704730886,
2.88377300871935,
-1.119200286847717,
2.8464014046151784,
-0.7664925011163902
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -30.75,
"target_ratio": 0.97,
"target_value": -29.8275
} | 16 |
5485656486770846592 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[2, 3, 4, 5, 6, 8], [10, 11, 5], [0, 2, 7, 10, 11], [0, 2, 3, 6], [2, 13, 5], [0, 1, 2, 3, 4, 5, 8, 9, 10, 12], [0, 1, 7, 9, 12, 13], [1, 3, 6, 7, 11, 12, 13], [3, 4, 6, 7, 8, 9, 10, 12]]} | {"states": [7674, 7642], "expectation_value": -1.990303289652039, "params": [0.0025, 1.4906000000000001, 2.7994000000000003, -0.0026000000000000003, 3.0938000000000003, 0.0025, 3.144, 0.2984, -0.0029000000000000002, 0.8468, 2.2362, -0.0023, 2.5206, 0.0028, 3.1471, -0.0004, 3.732, -0.0026000000000000003, 3.0097, 0.0025,... | 0.12777777777777777 * (Z(2) @ Z(3)) + 0.0623015873015873 * (Z(4) @ Z(3)) + 0.044444444444444446 * (Z(4) @ Z(2)) + 0.044444444444444446 * (Z(5) @ Z(3)) + 0.21111111111111108 * (Z(5) @ Z(2)) + 0.044444444444444446 * (Z(5) @ Z(4)) + 0.15833333333333333 * (Z(6) @ Z(3)) + 0.11666666666666667 * (Z(6) @ Z(2)) + 0.051190476190... | 4 | 14 | 1 | {"smallest_eigenvalues": [-2.0523809523808816], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0345238095236606, "smallest_bitstrings": ["10001000100101"], "largest_eigenvalue": 9.000000000000044} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
rx(0.05131542890573843) q[0];
rz(2.923729548205025) q[0];
rx(2.726082259936491) q[1];
rz(1.5536383604529123) q[1];
rx(3.077023449888338) q[2];
rz(1.6221117557006348) q[2];
rx(-3.12682622421203) q[3];
rz(1.8936239336508969) q[3];
rx(0.06285998627851785) q[4];
rz(2.47698... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIIIIIZZII",
"IIIIIIIIIZZIII",
"IIIIIIIIIZIZII",
"IIIIIIIIZIZIII",
"IIIIIIIIZIIZII",
"IIIIIIIIZZIIII",
"IIIIIIIZIIZIII",
"IIIIIIIZIIIZII",
"IIIIIIIZIZIIII",
"IIIIIIIZZIIIII",
"IIIIIZIIIIZIII",
"IIIIIZIIIIIZII",
"IIIIIZIIIZIIII",
"IIIIIZIIZIIIII",
"IIIIIZIZIIIIII",
"IIIZIIIIIIZIII"... | [
0.12777777777777777,
0.0623015873015873,
0.044444444444444446,
0.044444444444444446,
0.21111111111111108,
0.044444444444444446,
0.15833333333333333,
0.11666666666666667,
0.05119047619047619,
0.03333333333333333,
0.0623015873015873,
0.044444444444444446,
0.0623015873015873,
0.04444444444444... | 0.970024 | [
0.051315428905738425,
1.3529332214101288,
2.726082259936491,
-0.017157966341984188,
3.077023449888338,
3.1563590829675565,
0.32282760685600076,
0.06285998627851785,
0.9061925331749872,
2.3199995202344565,
0.08670456447142114,
2.685427520772815,
0.14188964445680133,
3.3622088163548987,
0.... | {
"n_parameters": 34,
"n_qubits": 14,
"optimal_eigenvalue": -2.0523809523808816,
"target_ratio": 0.97,
"target_value": -1.990809523809455
} | 1 |
-3112968704458518572 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[9, 5, 6], [8, 9, 4, 1], [0, 2, 3, 6, 7, 10], [2, 3, 4], [9, 10, 3, 7], [10, 5], [1, 2], [0, 1, 3, 4, 8, 10], [0, 3, 4, 7, 8, 9], [0, 9, 4, 5], [2, 4, 6, 7, 9, 10], [9, 3, 5], [0, 8, 6], [0, 9, 6], [2, 4, 5, 7, 8], [0, 3, 5], [0, 9, 10], [8, 10, 7], [1, 5], [... | {"states": [1326, 1390], "expectation_value": -4.0691274515840545, "params": [[1.5792000000000002, -0.019200000000000002, 1.6005, 0.4153, 0.09480000000000001, 1.574, 0.1153, 1.5797, 0.1537, 1.5848, 0.09820000000000001], [1.5853000000000002, 0.5755, 1.4197, 0.9890000000000001, 1.5944, 1.578, 0.9736, 1.5829, 1.6014000000... | 0.41666666666666663 * (Z(9) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.36666666666666664 * (Z(6) @ Z(9)) + 0.05 * (Z(8) @ Z(5)) + 0.11666666666666667 * (Z(8) @ Z(9)) + 0.16666666666666666 * (Z(8) @ Z(6)) + 0.13333333333333333 * (Z(4) @ Z(5)) + 0.23333333333333334 * (Z(4) @ Z(9)) + 0.03333333333333333 * (Z(4) @ Z... | 10 | 11 | 1 | {"smallest_eigenvalues": [-5.3999999999999995], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.133333333333334, "smallest_bitstrings": ["01010010001"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.2998339932652934) q[0];
ry(-0.10612292309848946) q[1];
ry(1.754376544592279) q[2];
ry(-0.2837739389914165) q[3];
ry(-0.03331734591785765) q[4];
ry(1.1625560973264593) q[5];
ry(-0.10068681071546083) q[6];
ry(2.378312508571727) q[7];
ry(0.017650678787002376) q[8];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIIZIIIII",
"IIIIZZIIIII",
"IZIIZIIIIII",
"IIZIIZIIIII",
"IZZIIIIIIII",
"IIZIZIIIIII",
"IIIIIZZIIII",
"IZIIIIZIIII",
"IIIIZIZIIII",
"IIZIIIZIIII",
"IIIIIZIIIZI",
"IZIIIIIIIZI",
"IIZIIIIIIZI",
"IIIIIIZIIZI",
"IIIIIZIIIIZ",
"IZIIIIIIIIZ",
"IIIIZIIIIIZ",
"IIZIIIIIIIZ",
"IIIIIIZII... | [
0.41666666666666663,
0.16666666666666666,
0.36666666666666664,
0.05,
0.11666666666666667,
0.16666666666666666,
0.13333333333333333,
0.23333333333333334,
0.03333333333333333,
0.2,
0.5,
0.08333333333333333,
0.11666666666666667,
0.11666666666666667,
0.25,
0.44999999999999996,
0.36666666... | 0.978286 | [
1.2998339932652934,
-0.10612292309848946,
1.754376544592279,
-0.2837739389914165,
-0.03331734591785765,
1.1625560973264593,
-0.10068681071546083,
2.378312508571727,
0.017650678787002376,
1.876610912832821,
-0.018919780386830107,
1.8445889344397335,
0.04985825311830917,
1.21292933028369,
... | {
"n_parameters": 22,
"n_qubits": 11,
"optimal_eigenvalue": -5.3999999999999995,
"target_ratio": 0.97,
"target_value": -5.2379999999999995
} | 39 |
857e65bd5af79cea0e3b06ea35e9b80e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 5... | {"states": [126, 63], "expectation_value": -2.4930213319045365, "params": [[-0.0548, -0.0601, -0.0432, -0.033], [0.0623, 0.0737, 0.0673, 0.0558]], "bitstrings": ["0000001", "1000000"], "total_optimization_steps": 10, "probabilities": [0.02090218924587317, 0.024504320015251543], "optimization_time": 9.588099718093872} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + 1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * Z(2... | 1 | 7 | 4 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["1100000", "1000000"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.2769341436219489) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.057074071219356405) q[3];
cx q[2], q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.057074071219356405) q[1];
cx q[2], q[1];
rz(0.057074071219356405) q[3];
cx q[0], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIIIZZI",
"IZIIZII",
"IZIIIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIZIII",
"ZZIIIII",
"IIZIZII",
"IIZZIII",
"IIZIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII",
"IIZIIII"
] | [
-0.25,
-0.75,
-0.75,
-0.75,
-0.5,
-0.75,
-0.25,
1.25,
-0.75,
-0.75,
-0.75,
-0.5,
-0.75,
-0.25,
-0.25,
0.25,
-2.25,
1,
-0.5,
2
] | 0.733794 | [
-0.2769341436219489,
0.057074071219356405,
0.18472090887069437,
-1.6078992780258565,
-1.5695343960588928,
1.488828008408487,
-1.4186602505274495,
-1.5303598749129772,
1.167335064925295
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 215 |
20a60ed013bc1976376f734be7d8d92c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [0, 12], "expectation_value": -1.9998648604775686, "params": null, "bitstrings": ["1111", "0011"], "total_optimization_steps": 13, "probabilities": [1.9001409473807688e-05, 0.9999183586751094], "optimization_time": 4.187524318695068} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1100", "0011"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.354728125038139) q[0];
ry(-0.4482118389810244) q[1];
ry(1.1755110513092433) q[2];
ry(0.5002955961412344) q[3];
ry(0.16063370756801337) q[4];
ry(1.5622279807339) q[5];
ry(1.1768090945097947) q[6];
ry(1.5622279807339) q[7];
ry(1.5666955069360808) q[8];
ry(1.5127972... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IZIZ",
"ZIIZ",
"IZZI",
"ZIZI",
"IZII",
"IIIZ",
"ZIII",
"IIZI"
] | [
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.972165 | [
-0.354728125038139,
-0.4482118389810244,
1.1755110513092433,
0.5002955961412344,
0.16063370756801337,
1.5622279807339,
1.1768090945097947,
1.5666955069360808,
1.5127972230668947,
-0.024986189269166677,
0.48443925419363265,
0.015176939504703403,
-0.07719483818697466,
0.3729730085267119,
0... | {
"n_parameters": 60,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999957,
"target_ratio": 0.97,
"target_value": -19.39999999999996
} | 52 |
7d8c120b950f82240c2b01ae7c753ace | 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": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 5, "s... | {"states": [414, 255], "expectation_value": -1.0442121630711365, "params": [[0.0661, 0.0263], [-0.0635, -0.035500000000000004]], "bitstrings": ["001100001", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0030138393632378356, 0.003143122124464422], "optimization_time": 4.032064437866211} | -0.25 * (Z(0) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.75 * (Z(4) @ Z(1)) + -1.25 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + -1.75 * (Z(7) @ Z(4)) + -0.25 * (Z(7) @ Z(5)) + -1.25 * (Z(2) @ Z(8)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(3)... | 1 | 9 | 2 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.5, "smallest_bitstrings": ["100001000", "100000000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(-0.0006716325042154664) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(-0.0006716325042154664) q[1];
cx q[6], q[1];
cx q[1], q[4];
rz(-1.3581049552887894) q[4];
cx q[1], q[4];
cx q[6], q[5];
rz(-1.2020433... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIZIIIIZI",
"IIIIZIIZI",
"IIZZIIIII",
"IIIZIIIZI",
"IIIZZIIII",
"IZZIIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZIZIIIII",
"ZIIIIIZII",
"IZIIIZIII",
"IIIIIZZII",
"IIZIIIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"... | [
-0.25,
0.5,
-0.25,
-0.75,
-1.25,
-1.25,
-0.25,
-0.5,
-0.25,
-1.75,
-0.25,
-1.25,
-0.5,
-0.5,
1.25,
-0.25,
-0.75,
2.5,
0.25,
-3,
-0.75,
0.75,
0
] | 0.801205 | [
-0.0006716325042154664,
0.000010565424425903949,
-1.3581049552887894,
-0.000001202043307248502,
-0.0000013554866091444424,
-0.000005342637836494328,
-1.5707962505940247,
-1.5707533605711173,
-1.570555464609826,
-1.570796263828308,
-1.5707964040538356,
-1.5707962652461258,
-1.5707621300938583... | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 308 |
24ec85ceb3f94374e977a871ddcf35bc | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [35, 44], "expectation_value": -1.1963986217972138, "params": [[0.076, 0.07050000000000001, 0.07970000000000001, 0.0777], [-0.0823, -0.0645, -0.0748, -0.0751]], "bitstrings": ["011100", "010011"], "total_optimization_steps": 10, "probabilities": [0.03543960969567025, 0.03659987263765273], "optimization_time"... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["011010", "011100", "010011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.04176737542190623) q[0];
rz(-pi) q[0];
ry(-2.945037601850049) q[1];
rz(-pi) q[1];
h q[2];
ry(1.4906421176738867) q[2];
h q[3];
h q[4];
ry(0.6746829349540775) q[4];
h q[5];
ry(-0.2974549213254869) q[5];
cx q[3], q[5];
ry(0.2974549213254869) q[5];
cx q[3], q[5];
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": []} | [
"IIIIZZ",
"IIIZZI",
"IIZIZI",
"ZIIIZI",
"ZIIZII",
"IZIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-0.5,
-0.5,
-0.5
] | 0.971567 | [
-1.5669187022824613,
-1.5230986125139825,
1.4906421176738867,
-0.5949098426509738,
1.0949934439908702,
1.1307724253187426,
-0.9752655168159003,
1.349365869908155,
0.5257905149682746,
0.08690217507268594,
-0.18517364442419398,
0.5584956621285644,
0.3260867579106622,
0.07577950181894219,
0... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 12 |
c82c0abff7ad6b1ef89e7179084bee60 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [169, 41], "expectation_value": -5.034185282286541, "params": [[[0.3907, 0.0049], [-0.0017000000000000001, 0.19310000000000002], [0.3987, 0.0057], [-0.0173, -0.21530000000000002], [0.4051, 0.0004], [-0.0073, -0.19260000000000002], [0.0013000000000000002, -0.19440000000000002], [0.39830000000000004, 0.0011]],... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ 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(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["11010110", "00111101", "01110110", "01110101"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(0.06017047618151314) q[0];
rz(0.1867891313992973) q[0];
rx(3.215380989001466) q[1];
rz(-0.28393810695150506) q[1];
rx(3.348267508002961) q[2];
rz(0.08890311365693612) q[2];
rx(0.020809375873643773) q[3];
rz(-0.05495188029584405) q[3];
rx(3.2457728072436858) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IIIIZIZI",
"IIIZZIII",
"IIIZIIZI",
"IIZIZIII",
"IIZIIIZI",
"IIZZIIII",
"ZIIIIIZI",
"ZIZIIIII",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-2.5,
-1.5,
-1,
-2,
-1,
-1.5
] | 0.978409 | [
0.06017047618151314,
0.1867891313992973,
3.215380989001466,
-0.28393810695150506,
3.348267508002961,
0.08890311365693612,
0.020809375873643773,
-0.05495188029584405,
3.2457728072436858,
-0.06730146272668949,
3.199346929215565,
-0.42483688350147586,
3.5255102245864256,
0.38290514326715075,
... | {
"n_parameters": 25,
"n_qubits": 15,
"optimal_eigenvalue": -5.093749999999985,
"target_ratio": 0.97,
"target_value": -4.940937499999985
} | 12 |
0c36283121e8c25f75256b89b8ad4f89 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target":... | {"states": [0, 384], "expectation_value": -19.105953434847855, "params": [0.6215, 0.058100000000000006, 0.657, -0.085, -0.5534, 0.2858, -0.3179, 0.0448, 0.0029000000000000002, 1.1911, 0.0032, 1.1792, 0.0019, 0.9385, 0.0025, 1.0490000000000002, -0.0023, 0.7047, 0.0016, 0.7539, -0.1275, 0.6889000000000001, 0.0819, 0.8912... | -1.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(3)) + 1.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(2)) + -2.5 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + -2.5 * (Z(7) @ Z(4)) + -3.5 * (Z(8) @ Z(3)) + 1.5 * (Z(8) @ Z(2)) + -3.5 * (Z(8) @ Z(4)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.5 *... | 6 | 9 | 2 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["001111111"], "largest_eigenvalue": 43.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.638822702751636) q[0];
cx q[1], q[0];
rz(-0.07776755994511442) q[0];
rx(-0.962012343407071) q[0];
rz(-0.07776755994511442) q[1];
rx(-0.962012343407071) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.5680636881758625) q[2];
cx q[3], q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IZIIIZIII",
"IZIIIIZII",
"IZIIZIIII",
"ZIIIIZIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIZIIZII",
"ZIIZIIIII",
"IIZIIZIII",
"IIZIZIIII",
"ZIZIIIIII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"... | [
-1,
-3,
1.5,
-3,
-2.5,
1,
-2.5,
-3.5,
1.5,
-3.5,
1,
0.5,
1,
0.5,
0.5,
-3,
-2,
0.5,
0.5,
1.5,
-2.5,
1.5,
0.5,
-3,
-2,
1.5
] | 0.614806 | [
-1.638822702751636,
-0.5680636881758625,
-0.311753831837824,
-0.7293136013734619,
-0.33699145614501813,
-0.5403635621375146,
-0.07776755994511428,
-0.9097872087731514,
-0.962012343407071
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 244 |
f9af8808d19e982b1988ff6e936d9ed3 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 18, "source": 1, "target": 8}, {"weight": 20, "source": 1, "target": 3}, {"weight":... | {"states": [500, 436], "expectation_value": -92.9279290559793, "params": [0.09860000000000001, 0.1971, 0.09580000000000001, 0.197, 0.49260000000000004, 0.0374, 0.4904, 0.0224, 0.4937, -0.0032, 0.4995, -0.0029000000000000002, 0.2666, 0.11420000000000001, 0.26780000000000004, 0.11230000000000001, 0.49410000000000004, 0.0... | 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(6) @ Z(7)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) ... | 7 | 10 | 3 | {"smallest_eigenvalues": [-110.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -98.5, "smallest_bitstrings": ["1001001011"], "largest_eigenvalue": 193.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.014037061408241808) q[0];
rz(0.19482038180590022) q[0];
rx(0.8783042274799419) q[1];
rz(0.10292126227451628) q[1];
cx q[1], q[0];
rz(-0.11661834311237987) q[0];
cx q[1], q[0];
rz(1.6130243232724464) q[0];
ry(0.3215556981217755) q[0];
rz(-1.0764987455756834) 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... | {"matching": "maximum", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIIZIIIZI",
"IIIIZIZIII",
"IIIIZZIIII",
"IIZIIZIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IZZIIIIIII",
"ZIIIIIIZII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIZIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
14.5,
2,
26.5,
8.5,
23.5,
17.5,
15,
9,
-5,
-0.5
] | 0.973762 | [
0.014037061408241808,
0.07820203869352045,
0.8783042274799419,
0.10292126227451628,
0.6387528959209909,
0.11203432265663264,
0.21436286139472843,
0.011271584153701261,
0.7012866460926328,
-0.06054501449493817,
0.8329692625893316,
0.14044015362791445,
-0.07979964259122525,
-0.10070042633681... | {
"n_parameters": 137,
"n_qubits": 10,
"optimal_eigenvalue": -110.5,
"target_ratio": 0.97,
"target_value": -107.185
} | 10 |
7dda09a38f354789ad2a3b94681dca6c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target":... | {"states": [0, 480], "expectation_value": -22.804838226503335, "params": [-0.3985, 1.0625, -0.32320000000000004, 0.8596, -0.2449, 0.9597, -0.4167, 0.7719, -0.4078, 0.30710000000000004, -0.3972, 0.6617000000000001, -0.5044000000000001, -0.16440000000000002, -0.4898, 0.14650000000000002, -0.0019, 0.775, 0.002400000000000... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(5)) + -3.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -3.0 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(6)) + 1.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -2.5... | 6 | 9 | 3 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["000011111"], "largest_eigenvalue": 26.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.9170231262339931) q[0];
rz(1.6663066684833927) q[0];
rx(-0.0050215654850718295) q[1];
rz(-2.3265054073058105) q[1];
rx(-0.8955155374897494) q[2];
rz(1.5481495289294038) q[2];
rx(-3.0551372542267763) q[3];
rz(1.45515896271446) q[3];
rx(0.06164310570994425) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZZIIII",
"IIZZIIIII",
"IIZIZIIII",
"ZIIZIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IZIZIIIII",
"IZIIZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
-1.5,
-2,
-2,
0.5,
0.5,
-2,
-2.5,
-3,
0.5,
-3,
0.5,
-2,
1.5,
0.5,
-2.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1.5,
1.5,
1.5,
-2.5
] | 0.972987 | [
0.9170231262339931,
0.09551034168849609,
-0.005021565485071829,
2.3858835730788797,
-0.8955155374897495,
-0.02264679786549267,
-3.0551372542267763,
-0.11563736408043661,
0.061643105709944246,
-2.657294261119828,
-0.010240035117141883,
1.147392939419517,
0.014733353398927345,
1.538141859158... | {
"n_parameters": 39,
"n_qubits": 9,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 102 |
b8aaab24da0004c3e40ded7e0da30763 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [5, 1], "expectation_value": -0.3533879422867684, "params": [[0.0732], [-0.0596]], "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 10, "probabilities": [0.009613062965160766, 0.009876480024053934], "optimization_time": 3.178711414337158} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(3)) + 2.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.5 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5) + 2.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-0.04755975372679777) q[0];
rz(-pi) q[1];
ry(-0.16357168903548214) q[1];
rz(-pi) q[2];
ry(-0.16357168903548214) q[2];
h q[3];
ry(-1.6848675864644589) q[3];
ry(-0.05392656744408793) q[4];
rz(-pi) q[4];
ry(-0.08761228669430021) q[5];
rz(-pi) q[5];
h q[6];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2]... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIIIZ",
"IZIZIII",
"ZIIIIIZ",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.75,
2.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
2
] | 0.995678 | [
1.5124481082497874,
-1.6848675864644589,
-1.7984235144880873,
-1.5128877401597436,
-1.43889529306715,
-0.15594893256731784,
0.05940740011829414,
0.13302301188552904,
0.12811099731541742
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 1 |
e98b53e0167756e0364419ca81191dd8 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [96, 120], "expectation_value": -4.999934068931291, "params": null, "bitstrings": ["0011111", "0000111"], "total_optimization_steps": 33, "probabilities": [1.383465500065299e-05, 0.9999481801794438], "optimization_time": 26.56576371192932} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(1) + -1.0 * Z(6) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0000111"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.24909120364595053) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.24909120364595053) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.24909120364595053) q[2];
cx q[4], q[2];
rz(1.193373369563484) q[4];
rx(0.88264671234436... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIZIIIZ",
"IZIIIIZ",
"IIZIIZI",
"IZIIIZI",
"ZIIIIZI",
"IIZIZII",
"ZIIIZII",
"IZIZIII",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-1,
-0.5,
-0.5
] | 0.9471 | [
-0.24909120364595053,
1.193373369563484,
-2.0987034762529904,
0.8826467123443694,
0.7130854719426324,
-1.607622645586924,
2.3151552480734114,
-1.156367733753227,
0.5197043517845391,
-1.2593119444119423,
1.382078940991915,
-0.6706278912224314
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 359 |
-7113729499938187556 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2], [0, 5], [2, 5], [4, 5], [1, 4], [1, 5], [2, 4], [2, 3]]} | {"states": [56, 24], "expectation_value": -1.7730627913513342, "params": null, "bitstrings": ["000111", "100111"], "total_optimization_steps": 35, "probabilities": [0.19538578465410006, 0.4991458119822468], "optimization_time": 26.758620023727417} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.0, "smallest_bitstrings": ["111000", "110110", "100111", "100110", "001001", "000111", "011000", "011001"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(0.3373355245423706) q[0];
rz(-0.5285683696579171) q[0];
rx(0.07509299079118542) q[1];
rz(-0.17001125806972994) q[1];
rx(-0.07414486966462075) q[2];
rz(-0.057023565512853924) q[2];
rx(3.0650757606881003) q[3];
rz(-0.08158261309252435) q[3];
rx(3.1934099799705176) 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];\ncry(-1.0342) 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];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIZIZ",
"ZIIZII",
"ZIIIIZ",
"IZIZII",
"ZZIIII",
"ZIIIZI",
"IZIIZI",
"IIZZII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IZIIII",
"IIIIZI",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.993217 | [
0.3373355245423706,
-0.5285683696579171,
0.07509299079118542,
-0.17001125806972994,
-0.07414486966462075,
-0.057023565512853924,
3.0650757606881003,
-0.08158261309252435,
3.1934099799705176,
0.27817927676674503,
3.2509828679537085,
1.0583745028522444
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 19 |
abfbe99ad8a7b3ce3391f1e624bdf663 | 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": 7, "source": 0, "target": 5}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 9}, {"capac... | {"states": [1022, 511], "expectation_value": -17.469164515763662, "params": [[[0.0152, 0.8331000000000001], [-0.0033, -0.018600000000000002], [-0.0014, -0.0024000000000000002], [-0.0027, -0.002], [0.0007, -0.003], [-0.0024000000000000002, -0.0032], [-0.0026000000000000003, -0.0031000000000000003], [0.0047, -0.006200000... | -1.75 * (Z(0) @ Z(5)) + -1.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(5)) + -2.5 * (Z(2) @ Z(1)) + 2.0 * (Z(9) @ Z(0)) + -1.5 * (Z(9) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(9)) + -1.5 * (Z(6) @ Z(3)) + -1.5 * (Z(8) @ Z(5)) + -0.75 * (Z(8) @ Z(3)) + -1.0 * (Z(8) @ Z(6)) + -1.25 * (Z(4) @ ... | 15 | 10 | 4 | {"smallest_eigenvalues": [-18.0, -18.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.0, "smallest_bitstrings": ["1000000000", "1000100000"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.07168029089302068) q[0];
ry(-0.0887868752379074) q[1];
ry(-0.0886917366562172) q[2];
ry(-0.0887868752379074) q[3];
ry(0.02254361888648892) q[4];
ry(0.02492283631619445) q[5];
ry(-0.05273438026645277) q[6];
ry(-0.07324288365701848) q[7];
ry(1.6574056681480789) q[8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIZ",
"IIIIZIIIZI",
"IIIIZIIZII",
"IIIIIIIZZI",
"ZIIIIIIIIZ",
"ZIIIIIIIZI",
"IIIIIIZZII",
"IIIZIIIIZI",
"ZIIZIIIIII",
"IIIZIIZIII",
"IZIIZIIIII",
"IZIIIIZIII",
"IZIZIIIIII",
"IIIZIZIIII",
"ZIZIIIIIII",
"IIZZIIIIII",
"IZZIIIIIII",
"IIIIZIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI"... | [
-1.75,
-1.25,
-0.25,
-2.5,
2,
-1.5,
-0.75,
-0.75,
-1,
-1.5,
-1.5,
-0.75,
-1,
-1.25,
-0.5,
-1.25,
-1.5,
1.25,
-0.25,
0,
0,
-1,
0,
3.75,
-0.25,
-1.25,
-2.25
] | 0.971574 | [
-0.07168029089302068,
-0.0887868752379074,
-0.0886917366562172,
0.02254361888648892,
0.02492283631619445,
-0.05273438026645277,
-0.07324288365701848,
1.6574056681480789,
-0.2588485362215787,
0.024785727987104607,
0.10375231761510936,
0.031603757146654296,
-0.0538614952085408,
-0.0043520881... | {
"n_parameters": 46,
"n_qubits": 10,
"optimal_eigenvalue": -18,
"target_ratio": 0.97,
"target_value": -17.46
} | 48 |
-1730963572985351310 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3], "hyperedges": [[2, 3], [0, 3], [1, 3]]} | {"states": [1, 14], "expectation_value": -0.031773209819976514, "params": [[-0.0775], [0.0695]], "bitstrings": ["1110", "0001"], "total_optimization_steps": 10, "probabilities": [0.06648939281957636, 0.06648939281957636], "optimization_time": 0.3120715618133545} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.5, -1.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.5, "smallest_bitstrings": ["1110", "0001"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
ry(0.6516252283271194) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.5651678825638844) q[3];
cx q[2], q[3];
ry(0.5651678825638844) q[3];
cx q[2], q[3];
ry(-0.3787680755853376) q[3];
cx q[1], q[3];
ry(0.3787680755853376) q[3];
cx q[1], q[3];
ry(0.6627218298973283) q[1];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
rz(x1) q[3];
rz(x1) q[2];
rz(x1) q[0];
... | null | {"circuits": [], "gradients": []} | [
"ZZII",
"ZIIZ",
"ZIZI",
"ZIII",
"IZII",
"IIIZ",
"IIZI"
] | [
0.5,
0.5,
0.5,
0,
0,
0,
0
] | 0.970124 | [
-1.1303357651277688,
1.163573696975295,
-0.7575361511706752,
1.3254436597946566,
1.3032504566542389,
-0.9832187679048271,
0.3681460383360275,
0.8792578069532032,
0.20205117594499303,
-1.1965369036562135,
-0.2344660156026632,
-0.4493470586237004,
0.4457105996349823,
0.016720756556157124,
... | {
"n_parameters": 16,
"n_qubits": 4,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 28 |
184be31d5cef7a0df96adb60f009b8f5 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, ... | {"states": [102, 25], "expectation_value": -0.5513963302833846, "params": [[0.0671, 0.06280000000000001], [-0.060500000000000005, -0.056400000000000006]], "bitstrings": ["0011001", "1100110"], "total_optimization_steps": 10, "probabilities": [0.010322495112602071, 0.010975585231612139], "optimization_time": 3.167483091... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -1.0 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.5 * Z(4) + -1.5 * Z(6) + -0.5 * Z(1) + 0.0 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011101", "1010101", "1011001", "1100101", "1100110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.511712744486858) q[0];
h q[1];
ry(-0.49471069376631144) q[1];
h q[2];
cx q[2], q[1];
ry(0.49471069376631144) q[1];
cx q[2], q[1];
ry(-0.6936347221829589) q[1];
ry(1.0009674514056612) q[2];
h q[3];
ry(1.5013838288438324) q[3];
cx q[3], q[2];
ry(-0.299297876... | 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": []} | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZZI",
"ZIIIIZI",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-0.5,
-1.5,
-1.5,
-0.5,
0
] | 0.994527 | [
-1.511712744486858,
-1.6447834892120756,
-1.5273305942628348,
1.5013838288438324,
1.4417536248617866,
-0.9894213875326229,
0.7016695747878551,
-0.5049361799190388,
0.598595753235612,
-0.3773970845278402,
0.15889937565015966,
-0.04416035628984544,
-0.19694947548304464,
0.20522778123686816,
... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
8408687869260265012 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[5, 7], [2, 4], [8, 1], [3, 7], [0, 6], [1, 7], [5, 6], [0, 2], [0, 3], [2, 3, 5], [4, 7], [1, 4, 5]]} | {"states": [408, 440], "expectation_value": -0.14741834775017226, "params": [[0.0791], [-0.0864]], "bitstrings": ["001100111", "001000111"], "total_optimization_steps": 10, "probabilities": [0.0023812088017583686, 0.0023999082758578948], "optimization_time": 7.268807411193848} | 0.5 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(5)) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.333333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9999999999999996, "smallest_bitstrings": ["001000111"], "largest_eigenvalue": 6.999999999999997} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[5];
rz(0.6856725941288447) q[5];
cx q[7], q[5];
cx q[5], q[2];
rz(0.023213227373362903) q[2];
cx q[5], q[2];
cx q[7], q[4];
rz(0.6856725941288447) q[4];
cx q[7], q[4];
cx q[5], q[4];
rz(0.0232132... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[7], q[5];
rz(x0) q[5];
cx q[7], q[5];
cx q[5], q[2];
rz(x1) q[2];
cx q[5], q[2];
cx... | null | {"circuits": [], "gradients": []} | [
"IZIZIIIII",
"IIIZIIZII",
"IZIIZIIII",
"IIIZZIIII",
"IIIIZIZII",
"IZIIIIIZI",
"IIIZIIIZI",
"IIIIZIIZI",
"ZIIIIIIZI",
"IZIIIZIII",
"IIIZIZIII",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIZZIIIII",
"IIZIIIIIZ",
"IZIIIIIII",
"IIIZIIIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIIIZI",
"... | [
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0,
0.33333333333333304,
0.16666666666666652,
0.16666666666666652,
0.16666666666666652,
0,
0.1666... | 0.499684 | [
0.6856725941288447,
0.023213227373362903,
-0.14775665852351885,
0.7521378951368639,
-0.7789735708666244
] | {
"n_parameters": 5,
"n_qubits": 9,
"optimal_eigenvalue": -4.333333333333332,
"target_ratio": 0.97,
"target_value": -4.203333333333332
} | 137 |
0fbf7e9662738f1a44b3cf8b0835e888 | 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": 5, "source": 0, "target": 1}, {"weight": 16, "source": 1, "target": 7}, {"weight": 16, "source": 1, "target": 5}, {"weight": 10, "sourc... | {"states": [229, 213], "expectation_value": -12.842412100915098, "params": [[-0.0459, -0.0151], [0.0645, 0.0519]], "bitstrings": ["100011010", "100101010"], "total_optimization_steps": 10, "probabilities": [0.006482616271761749, 0.007287425931848513], "optimization_time": 3.1803736686706543} | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(7)) + 18.0 * Z(2) + 2.5 * Z(0) + 13.0 * Z(1) + 8.5 * Z(4) + 0.0 * Z(3) + 0.5 * Z(5) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-70.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["100101010"], "largest_eigenvalue": 125.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(2.860937257399584) q[0];
rz(0.07438707913331155) q[0];
ry(0.2680598350911098) q[1];
rz(-0.15028146673131107) q[1];
cz q[1], q[0];
ry(3.104153590712506) q[1];
ry(0.1069528274374195) q[2];
rz(0.32114811463309373) q[2];
ry(0.716189587364778) q[3];
rz(0.46609294534408396... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZIIIZI",
"IIZIIIZII",
"IIZZIIIII",
"IZIIIIZII",
"IZZIIIIII",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
18,
2.5,
13,
8.5,
0,
0.5,
10.5,
9.5,
8
] | 0.973842 | [
2.860937257399584,
0.07438707913331155,
0.2680598350911098,
-0.15028146673131107,
0.1069528274374195,
0.32114811463309373,
0.716189587364778,
0.46609294534408396,
-0.013831335367480106,
-1.022387262361111,
-1.8135321735943046,
3.211366979787237,
0.5570830471984629,
0.321494836815726,
0.1... | {
"n_parameters": 23,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 32 |
b2a86e79e509d0d76748a475959a4d60 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 6}, {"weight": 13, "source": 1, "target": 3}, {"weight": 3, "source": 2, "target": 3}, {"... | {"states": [117, 109], "expectation_value": -41.004218316278234, "params": null, "bitstrings": ["10001010", "10010010"], "total_optimization_steps": 100, "probabilities": [0.07928601898643785, 0.4494797943354079], "optimization_time": 182.5784876346588} | 4.0 * (Z(0) @ Z(2)) + 4.0 * (Z(1) @ Z(2)) + 4.0 * (Z(1) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 9.5 * Z(2) +... | 1 | 8 | 3 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 145.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.10531842151091338) q[0];
cx q[3], q[0];
rz(0.4891930059834122) q[0];
rx(-0.0661317683158416) q[0];
cx q[3], q[1];
rz(0.10531842151091338) q[1];
cx q[3], q[1];
cx q[1], q[2];
rz(0.10531842151091338) q[2];
cx q[1], q[2];... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(34.778) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
9.5,
0.5,
18.5,
5.5,
22,
15,
4.5,
13.5
] | 0.981939 | [
0.10531842151091338,
-0.9612079782757411,
0.4891930059834108,
-0.3889941233568148,
0.09888614070956181,
-0.06613176831584158,
-0.15982742550497311,
-0.9131467726130178,
-0.7744447103826919,
0.963045529704064,
-0.42018965464630975,
0.1277451781058455,
0.12286825244091745,
-0.142262780034014... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 44 |
c5b30b94cad3afd2b2d3cf8b55cce16a | 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": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 1, ... | {"states": [47, 7], "expectation_value": -15.708511535834244, "params": null, "bitstrings": ["11010000", "11111000"], "total_optimization_steps": 67, "probabilities": [0.12393977867550218, 0.6829558389196597], "optimization_time": 92.80445384979248} | -0.75 * (Z(0) @ Z(1)) + -2.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -1.5 * (Z(4) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.75 * (Z(7) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + -1.25 * (Z(3... | 1 | 8 | 4 | {"smallest_eigenvalues": [-18.25, -18.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["11111000", "11101000"], "largest_eigenvalue": 22.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.03992472608385109) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.00269159676729528) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.012002982498467882) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.03992472608385109) q[4];
c... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.2796) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"ZIIIIIIZ",
"ZIIZIIII",
"ZIZIIIII",
"IZIZIIII",
"ZZIIIIII",
"IZIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIIZIII"
] | [
-0.75,
-2.75,
-0.5,
-0.75,
-1.5,
-1.75,
-0.25,
-0.25,
2.25,
-0.25,
-1.75,
-1.25,
-1.5,
-1.25,
-2.25,
-0.25,
-2,
0,
3,
-1.25,
4,
-1.25
] | 0.704523 | [
-0.03992472608385109,
-0.00269159676729528,
0.012002982498467882,
-0.027140045216093485,
0.025484428609887977,
0.1802066675376493,
1.9968684935125172,
-0.20796776869104522,
-1.5713798940041483,
-1.5612242179332285,
-0.06687445425594916,
1.6319185724475551,
1.523682567149112,
-1.28080419968... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -18.25,
"target_ratio": 0.97,
"target_value": -17.7025
} | 344 |
31bcee1b066a63f64c6901bb1e1b69cb | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [21, 28], "expectation_value": -2.9963973272214712, "params": null, "bitstrings": ["101010", "100011"], "total_optimization_steps": 25, "probabilities": [0.06635225969610153, 0.9303258560517219], "optimization_time": 17.221124410629272} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(2) + 0.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["100011", "101010", "011100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.8134308690563022) q[0];
rz(-0.004340210929724364) q[0];
rx(-0.04386525431228497) q[1];
rz(1.1021752077143088) q[1];
rx(-0.013238833040450147) q[2];
rz(-1.192074686665066) q[2];
rx(1.521660208972273) q[3];
rz(-0.5183062345743958) q[3];
rx(-0.07804897496144539) q[4]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIIZ",
"IZIIZI",
"IZZIII",
"IZIZII",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
0
] | 0.981324 | [
-0.8134308690563021,
0.02233676954795123,
-0.04386525431228497,
0.6629278156883924,
-0.013238833040450145,
-0.8015821085417717,
1.521660208972273,
-0.03357304081524819,
-0.0780489749614454,
1.036539672959953,
1.1636048445698097,
0.011763346432697531,
0.06040645557731586,
-0.969466387518295... | {
"n_parameters": 47,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 6 |
d641b238a610d42d2a4d2049e26c4a8c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 1, ... | {"states": [1, 97], "expectation_value": -1.840315882353137, "params": [[0.0813], [-0.0868]], "bitstrings": ["11111110", "10011110"], "total_optimization_steps": 10, "probabilities": [0.007213392097002817, 0.007418719722418605], "optimization_time": 5.052408456802368} | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -2.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(6)) + -1.25 * (Z(7) @ Z(1)) + 2.5 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @... | 1 | 8 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["10011110"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7946463062368568) q[0];
h q[1];
h q[2];
ry(0.6186852872545041) q[2];
cx q[1], q[2];
ry(-0.6186852872545041) q[2];
cx q[1], q[2];
ry(1.5435180341782773) q[1];
ry(0.18224120531489832) q[2];
ry(-0.17608387131973435) q[3];
rz(-pi) q[3];
cx q[1], q[3];
ry(0.247... | OPENQASM 3.0;
include "stdgates.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[8] c;
qubit[8] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IIIIIZZI",
"IZIIIZII",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIIZZIII",
"IZIIZIII",
"IIIIZZII",
"IIZIIIZI",
"IIZZIIII",
"IZZIIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIZII",
"ZIIIIIII",
"IIIIZIII",
"IIZIIIII"
] | [
-0.5,
-1.25,
-0.5,
-2.5,
-0.75,
-1.25,
2.5,
-1,
-1.25,
-1,
-0.25,
-0.75,
-0.75,
-1.25,
0.5,
-0.25,
0.5,
-0.75,
1.75,
1.25,
-4.5,
1.5
] | 0.970629 | [
-1.147417811859112,
1.2373705745090082,
1.5435180341782773,
-0.49458928723210044,
-1.5892926124737137,
-2.309415929446479,
0.36448241062979664,
-0.4538661237832402,
-0.06284718478532479,
0.1828448554015769,
-0.33230521476711383,
0.37352140419820384,
-0.07913749338643893,
0.3498126979268162... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 77 |
3122488136443101094 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 3, 4, 6, 7, 8, 10, 11], [1, 9], [2, 7], [5, 7]]} | {"states": [1978, 2042], "expectation_value": -1.6500370782920015, "params": [[[0.5254, 0.6622, 0.0027, 0.0021000000000000003], [-0.0103, 0.6622, 0.0085, 0.003], [1.5816000000000001, 0.0035, 1.5809, 0.0002], [1.0544, 0.6506000000000001, -0.1208, 0.0013000000000000002], [1.5785, -0.0024000000000000002, 1.58, 0.004200000... | 0.017857142857142856 * (Z(0) @ Z(5)) + 0.017857142857142856 * (Z(6) @ Z(5)) + 0.017857142857142856 * (Z(6) @ Z(0)) + 0.017857142857142856 * (Z(8) @ Z(5)) + 0.017857142857142856 * (Z(8) @ Z(0)) + 0.017857142857142856 * (Z(8) @ Z(6)) + 0.017857142857142856 * (Z(9) @ Z(5)) + 0.017857142857142856 * (Z(9) @ Z(0)) + 0.017857... | 11 | 12 | 1 | {"smallest_eigenvalues": [-1.6785714285714286, -1.6785714285714286, -1.6785714285714286, -1.6785714285714286, -1.6785714285714286, -1.6785714285714286, -1.6785714285714286, -1.6785714285714286, -1.6785714285714286, -1.6785714285714286, -1.6785714285714286, -1.6785714285714286, -1.6785714285714286, -1.6785714285714286, ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.5963023844038177) q[0];
rz(0.6456552950720822) q[0];
ry(0.02211133149550863) q[1];
rz(0.6456552950720822) q[1];
cx q[1], q[0];
ry(0.03557909750880884) q[1];
rz(0.14779773840249244) q[1];
ry(1.6655401543963653) q[2];
rz(-0.03434403905008956) q[2];
ry(1.034365465164... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIZ",
"IIIIIZZIIIII",
"IIIIIZIIIIIZ",
"IIIZIIZIIIII",
"IIIZIIIIIIIZ",
"IIIZIZIIIIII",
"IIZIIIZIIIII",
"IIZIIIIIIIIZ",
"IIZIIZIIIIII",
"IIZZIIIIIIII",
"IZIIIIZIIIII",
"IZIIIIIIIIIZ",
"IZIIIZIIIIII",
"IZIZIIIIIIII",
"IZZIIIIIIIII",
"IIIIIIZIIZII",
"IIIIIIIIIZIZ",
"IIIIIZIII... | [
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.01... | 0.972506 | [
0.5963023844038177,
0.6456552950720822,
0.02211133149550863,
1.6655401543963653,
-0.03434403905008956,
1.0343654651641812,
0.8668194483902167,
1.5149343195664726,
-0.021771669222435577,
1.0870177032448747,
0.6516633421262265,
1.5972838964034033,
0.05505673591375135,
0.7520038004200584,
1... | {
"n_parameters": 38,
"n_qubits": 12,
"optimal_eigenvalue": -1.6785714285714286,
"target_ratio": 0.97,
"target_value": -1.6282142857142856
} | 1 |
6468206389165533645 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 7], [1, 2], [3, 6], [6, 7], [0, 6], [2, 7], [8, 3], [2, 5], [0, 8], [0, 1], [1, 5], [1, 3], [1, 6], [3, 4]]} | {"states": [364, 356], "expectation_value": -3.6033026230708103, "params": null, "bitstrings": ["010010011", "010011011"], "total_optimization_steps": 66, "probabilities": [0.16717032037161775, 0.632378621620282], "optimization_time": 114.71042680740356} | 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.0 * Z(7) +... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -3.0, "smallest_bitstrings": ["100101010", "010010011", "101100000", "101101100", "011010101", "010011111", "101100100", "101101000", "010011011", "010010111"], "largest_e... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(1.5286232872448693) q[0];
h q[1];
ry(-0.18019002648350768) q[1];
h q[2];
ry(0.6989935795973983) q[2];
h q[3];
h q[4];
ry(-0.6776270044648435) q[4];
h q[5];
ry(-0.04673095194185577) q[5];
h q[6];
cx q[6], q[1];
ry(0.18019002648350768) q[1];
cx q[6], q[1];
ry(-... | 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];\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];\n... | [
"IZIIIZIII",
"IIIIIZIZI",
"IZIIIIZII",
"IIIIIIZZI",
"IZZIIIIII",
"IIZIIZIII",
"IIZIIIIZI",
"IIIIIIIZZ",
"IIZIIIIIZ",
"ZIIIIZIII",
"ZIIIIIIIZ",
"IIIZIIIZI",
"IIIZIIZII",
"IIIIZZIII",
"IZIIIIIII",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIZIIIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.978197 | [
-0.36038005296701536,
1.2948267081310734,
1.3979871591947965,
-1.0841804825440995,
-0.989919973237202,
1.4149974895902604,
-1.355254008929687,
1.5286232872448693,
-0.08400499105757817,
0.12823933043378644,
-0.13644353565099435,
0.02057741093738566,
-0.17379335501444726,
0.06246795245906619... | {
"n_parameters": 48,
"n_qubits": 9,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 18 |
ad2c8808e4e24f79d1ce4f9a8d64bbe1 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 1, ... | {"states": [57, 61], "expectation_value": -7.99999260634772, "params": null, "bitstrings": ["11000110", "11000010"], "total_optimization_steps": 50, "probabilities": [1.8042475181095282e-06, 0.9999981319545665], "optimization_time": 66.81924295425415} | -0.5 * (Z(0) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["11000010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.014854315310046964) q[0];
ry(-0.03729676010121815) q[1];
rz(-pi) q[1];
h q[2];
ry(0.8055963103906512) q[2];
h q[3];
ry(1.5413867232941334) q[3];
h q[4];
ry(0.8055963103906512) q[4];
cx q[3], q[4];
ry(-0.8055963103906512) q[4];
cx q[3], q[4];
h q[5];
... | 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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"ZIIIIIIZ",
"IIZIIIZI",
"ZIZIIIII",
"IZIIIIZI",
"IIIIIZZI",
"IIZIIZII",
"IIIIZIZI",
"ZIIIZIII",
"IIZIZIII",
"IZIIZIII",
"IIIIZZII",
"ZIIZIIII",
"IIZZIIII",
"IZIZIIII",
"IIIZIZII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIZI... | [
-0.5,
0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.75,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
-0.25,
0.25,
-0.75,
-0.25,
1.25,
1
] | 0.998931 | [
1.5413867232941334,
1.6111926207813023,
1.5582303119186558,
1.5849264559127798,
-1.5965526985559542,
-1.4420256266999978,
-1.5801916192047236,
-0.18294787998736117,
-0.01192451884967978,
0.04787332815945153,
0.021804112902021354,
0.06662708175304768,
0.08666792215002461
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 1 |
383e9bbba4c1f2fb35a314751837dc18 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [277, 279], "expectation_value": -0.6917943232458508, "params": [0.2873, 0.2856, 0.1522, 0.1559, 0.2431, 0.24020000000000002, 0.1715, 0.1675, 0.2962, 0.2907, 0.17980000000000002, 0.1741, 0.2927, 0.2987, 0.25930000000000003, 0.2549, 0.303, 0.2982, 0.2883, 0.2806, 0.1531, 0.14980000000000002, 0.229200000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(2) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(8) @ Z(1)) + 0.25 * (... | 14 | 9 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.0, "smallest_bitstrings": ["010101100", "101000011", "011001100", "010111000", "011001001", "101100010", "011101000", "101001001", "101000110", "100100110",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.1416640166708738) q[0];
rz(pi/2) q[0];
ry(-0.793131122259061) q[1];
ry(0.9874203751404078) q[2];
ry(0.3526357806200685) q[3];
ry(0.9450157166198869) q[4];
ry(0.4479145245470849) q[5];
ry(0.15335503940443432) q[6];
ry(0.033864882667896196) q[7];
ry(0.358051147430653... | 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] x11;
input float[64] x12;
inp... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIZZIIIZ",
"IIIIZIZII",
"IIZIIIZII",
"IIZIZIIII",
"IIZIZIZII",
"IZIZIIIII",
"IZIIIIIZI",
"ZIIIIIIZI",
"ZZIIIIIII",
"ZZIIIIIZI",
"IIZIIZIII",
"ZIIIIZIII",
"ZIZIIIIII",
"ZIZIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
0,
-0.25,
0,
-0.25,
0
] | 0.974696 | [
1.1416640166708738,
-0.793131122259061,
0.9874203751404078,
0.3526357806200685,
0.9450157166198869,
0.4479145245470849,
0.15335503940443432,
0.033864882667896196,
0.35805114743065397,
0.48997852704646144,
0.02854646469859531,
-0.02131075108760231,
0.11179269493306157,
-0.5032424079837996,
... | {
"n_parameters": 108,
"n_qubits": 9,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 109 |
646c4ffdec7c3b688313fcfec6df6ea9 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [10, 14], "expectation_value": -1.9858189578628154, "params": [[[0.0649, 0.1772], [0.4047, 0.0012000000000000001], [0.3976, -0.0013000000000000002], [0.39730000000000004, -0.0002], [0.065, -0.1776]], [[0.06670000000000001, 0.1772], [0.4036, 0.0012000000000000001], [0.3981, -0.0013000000000000002], [0.3986, -... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["10001"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(1.9669260845713552) q[0];
ry(0.1024795632901214) q[0];
rz(-1.7618896224722536) q[0];
rz(1.3195676915300085) q[1];
ry(2.675781808525202) q[1];
rz(-2.101131985716676) q[1];
rz(0.659445598074063) q[2];
ry(2.9276292745841843) q[2];
rz(-2.5769113250260087) q[2];
rz(-1.592... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZIZ",
"IZIIZ",
"ZIIZI",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-0.5,
-1
] | 0.973844 | [
-0.03861409541289346,
0.30559213356773784,
0.7326018024600061,
-0.06435106480608022,
0.9547122432617727,
-0.15670419204282596,
1.266054401368888,
0.002295537787968205,
-0.1307986670653961,
0.03183210554700622,
0.016147551089138828,
-0.018645541425944934,
1.0077607251862293,
1.0367697074034... | {
"n_parameters": 27,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 9 |
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": -0.9861678646825669, "params": [[0.059000000000000004], [-0.0477]], "bitstrings": ["11100", "10110"], "total_optimization_steps": 10, "probabilities": [0.0354643297656779, 0.03546432976567791], "optimization_time": 1.6657159328460693} | 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) | 16 | 5 | 1 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "10110"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.715232848262334) q[0];
h q[1];
ry(-0.030328296195851544) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.715232848262334) q[3];
cx q[1], q[3];
ry(0.715232848262334) q[3];
cx q[1], q[3];
ry(0.8365951312196482) q[1];
ry(-0.137398110733318) q[3];
h q[4];
cx q[4], q[0];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], ... | {"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 |
-3228836779332427841 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4], [1, 2, 7], [1, 3, 6], [0, 6], [5, 6, 7], [0, 5, 7], [2, 3], [1, 3, 5], [0, 2, 7], [0, 4], [1, 6, 7], [2, 4], [4, 6], [3, 5, 6], [1, 3, 7], [0, 1, 3], [4, 5, 7]]} | {"states": [102, 230], "expectation_value": -4.353942201464077, "params": [[[1.6011, 0.0006000000000000001], [3.1435, 0.001], [3.1435, 0.0057], [0.2728, 0.0034000000000000002], [-0.0021000000000000003, 0.0031000000000000003], [3.1444, 0.005200000000000001], [3.1436, 0.009000000000000001], [1.2783, 0.0083]]], "bitstring... | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.3333333333333333 * (Z(7) @ Z(2)) + 0.6666666666666666 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.3333333333333333 * (... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.999999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.333333333333332, "smallest_bitstrings": ["00011001"], "largest_eigenvalue": 13.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(-0.4852155148044659) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.4852155148044659) q[2];
cx q[4], q[2];
cx q[1], q[2];
rz(0.20081367385419346) q[2];
cx q[1], q[2];
h q[5];
h q[6];
h q[7];
cx q[4], q[7];
rz(0.200813... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZI",
"IIIZIZII",
"IIIIIZZI",
"ZIIZIIII",
"ZIIIIIZI",
"ZIIIIZII",
"IIIIZIZI",
"IIIIZZII",
"ZIIIZIII",
"IZIZIIII",
"IZIIIIZI",
"ZZIIIIII",
"IZIIZIII",
"IIIZIIIZ",
"IIIIIIZZ",
"IIIIIZIZ",
"ZIIIIIIZ",
"IIIIZIIZ",
"IZIIIIIZ",
"IIZZIIII",
"IIZIIIZI",
"ZIZIIIII",
"IIZIZII... | [
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.6666666666666666,
0.5,
0.16666666666666666,
0.5,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,... | 0.526226 | [
-0.4852155148044659,
0.20081367385419346,
-0.18096710488561618,
-0.6995528060458484,
-0.3278998752526549,
-0.7982972753296828,
-0.5779683570164719,
0.8706766574453282
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -4.999999999999999,
"target_ratio": 0.97,
"target_value": -4.849999999999999
} | 210 |
9b9072d7e4f73df8aaa189972cc4f07a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capac... | {"states": [0, 1], "expectation_value": -27.885315199553553, "params": [-0.0033, 0.004, 0.0026000000000000003, 0.007200000000000001, 0.0027, 0.0073, 0.0027, 0.0022, -0.0027, 0.0016, 0.0026000000000000003, 0.0018000000000000002, 0.0027, 0.0048000000000000004, 0.0025, 0.0085, -0.0024000000000000002, 0.0022, 1.60950000000... | -1.25 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(3)) + -1.25 * (Z(8) @ Z(1)) + -1.0 * (Z(8) @ Z(0)) + -2.25 * (Z(8) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5)... | 3 | 10 | 1 | {"smallest_eigenvalues": [-31.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.25, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 25.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3850771786416239) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.6021617861671898) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.23076882788911063) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.25359841365805) q[3];
cx q[0], q[3];
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": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIIIIZZIII",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IZIIIIIZII",
"IIIIZIIIZI",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIIZZIIII",
"IZIIZIIIII",
"IIZIIIIIZI",
"IIZIIIIZII",
"IIZIIIZIII",
"IIZIIZIIII"... | [
-1.25,
-2,
-1,
-0.25,
-0.5,
-0.25,
-1,
-0.75,
-1.25,
-1,
-2.25,
-0.75,
-0.75,
-0.25,
-0.25,
-2.5,
-2,
-0.75,
-0.25,
-0.75,
-0.75,
-1.5,
-0.75,
-2,
-1.25,
4,
-0.5,
-0.75,
-1,
0.25,
-0.25,
-1.75,
-1.75,
1,
-2.5,
2.5,
2.25,
-1.5,
1.75
] | 0.513336 | [
0.3850771786416239,
0.6021617861671898,
0.23076882788911063,
0.25359841365805,
0.06842582702352719,
0.3485468863889875,
0.49772824568068635,
0.593191887536573,
0.41388702829109836,
-0.9260359765010787,
0.07165883090069289,
0.6915885398529675,
0.04525659681024196,
-0.22637924585557165,
-0... | {
"n_parameters": 17,
"n_qubits": 10,
"optimal_eigenvalue": -31.25,
"target_ratio": 0.97,
"target_value": -30.3125
} | 368 |
bbe36c72142a04c8b1698fed3f77c25c | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 16, "source": 0, "target": 2}, {"weight": 12, "source": 0, "target": 4}, {"weight": 18, "source... | {"states": [117, 61], "expectation_value": -7.059419430491971, "params": [[0.051300000000000005], [-0.049800000000000004]], "bitstrings": ["0001010", "1000010"], "total_optimization_steps": 10, "probabilities": [0.012201513068421084, 0.012444409888311256], "optimization_time": 2.2809250354766846} | 3.0 * (Z(0) @ Z(1)) + 3.0 * (Z(2) @ Z(1)) + 3.0 * (Z(2) @ Z(0)) + 3.0 * (Z(3) @ Z(1)) + 3.0 * (Z(3) @ Z(0)) + 3.0 * (Z(3) @ Z(2)) + 3.0 * (Z(4) @ Z(0)) + 3.0 * (Z(4) @ Z(2)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.0, "smallest_bitstrings": ["1000010"], "largest_eigenvalue": 140.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016228639223514973) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.016228639223514973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.016228639223514973) q[2];
cx q[0], q[2];
rz(-1.196649630207868) q[0];
rx(1.6249956830407981) q[0];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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[... | {"matching": "near_perfect", "extra": "{\"n\": 5}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIIZ",
"IIZIZII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
14,
11,
21,
12,
15,
6.5,
15.5
] | 0.981439 | [
-0.016228639223514973,
1.522688419965938,
-1.1966496302078677,
1.624995683040798,
-0.8755811242009026,
0.7452257823272057,
0.2393407597375708,
0.22077208961471634
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
526cf5ec45e4853accae49bb4a06bc2c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"sour... | {"states": [325, 357], "expectation_value": -2.474712457270703, "params": [[[0.40790000000000004, -0.0022], [-0.004200000000000001, 0.192], [0.40240000000000004, 0.002], [0.40900000000000003, -0.0002], [0.1839, 0.0896], [0.1307, 0.1092], [0.4025, 0.0008], [0.1731, -0.1183], [0.40940000000000004, -0.0021000000000000003]... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(8) @ Z(7)) + -0.5 * Z(4) + 0.0 * Z(0) + 0.0 * Z(2) + -1.5 * Z(1) + -0.5 * Z(3) + -1.0 * Z(5) + -0.5 * Z(6) + -0.5 * Z(7) + 0.0 * Z(8) | 1 | 9 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["010011010", "110001010", "010010110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-0.824160253853472) q[0];
ry(2.926752276181859) q[0];
rz(2.443844436133702) q[0];
rz(-2.8325881658945313) q[1];
ry(0.015454553387548298) q[1];
rz(-2.8147388231214836) q[1];
rz(-0.192036243932165) q[2];
ry(2.966591645927161) q[2];
rz(2.9298558839023174) q[2];
rz(-1.30... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIZZIIII",
"IIIZIIIZI",
"IIZIIIIZI",
"IIZZIIIII",
"IZIIIZIII",
"ZZIIIIIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
0,
-1.5,
-0.5,
-1,
-0.5,
-0.5,
0
] | 0.973574 | [
0.6634161015282586,
-0.06682280436189851,
-0.0441146338848723,
0.7019807612054446,
0.778224650916854,
-0.07001537229220933,
0.6342650645072982,
-0.010492183091705687,
0.11982224938802077,
0.24718365891930455,
0.24297131092348492,
0.12762099240347546,
0.6441023847916612,
-0.1769947010088992... | {
"n_parameters": 58,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 14 |
4700601e722e5f0a0c40acc2968ffc97 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [3, 17], "expectation_value": -3.4914324634340517, "params": [[-0.0546, -0.0284, -0.07880000000000001], [0.0707, 0.0409, 0.0703]], "bitstrings": ["11100", "01110"], "total_optimization_steps": 10, "probabilities": [0.05976845570707939, 0.06106987983411721], "optimization_time": 3.1354100704193115} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.75 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 7 | 5 | 3 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "01110"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6706529503752435) q[0];
h q[1];
ry(1.4146339409758935) q[1];
h q[2];
ry(-0.5581047246583587) q[2];
h q[3];
cx q[3], q[0];
ry(0.6706529503752435) q[0];
cx q[3], q[0];
ry(-0.44205081723318096) q[0];
ry(0.9054299760275487) q[3];
rz(-pi) q[4];
ry(-0.0725877717... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
1.75,
2,
1.75,
2,
2,
-2.75,
-2.75,
-2.75,
-2.5,
-2.25
] | 0.991225 | [
-1.6704548362417395,
-1.341305900750487,
1.4146339409758935,
0.973194262912994,
-1.1162094493167174,
0.6844911620078096,
-0.48532124205514987,
0.5740763702252564,
0.27498873776268346,
-0.23622283509959657,
0.44187762803947833,
-0.4116559642671688,
0.5069271119789323,
-0.18155338475627356,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
c745eafdc2adbaeba26c5101fc679bcd | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [110, 109], "expectation_value": -24.097109656189588, "params": null, "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 100, "probabilities": [0.12667879988982958, 0.1401551950987474], "optimization_time": 130.5985701084137} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(6) @ Z(7)) + 14.5 * Z(1) + 5.0 * Z(0) + 12.0 * Z(2) + 12.5 * Z(4) + 9.0 * Z(5) + 7.5 * Z(3) + 2.0 * Z(7) + -1.0 * Z(6) | 1 | 8 | 2 | {"smallest_eigenvalues": [-53.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 106.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-2.0459616668832803) q[0];
rz(-pi) q[0];
h q[1];
ry(-23.560638129245536) q[1];
rz(-pi) q[2];
ry(-0.12349339332201954) q[2];
rz(-pi) q[3];
ry(-2.3071769558279183) q[3];
ry(-1.0512910433372302) q[4];
rz(-pi) q[4];
cx q[1], q[4];
ry(0.6557876152786795) q[4];
cx q[1], q[... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"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(-22.6958) 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 ... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIZII",
"IIZZIIII",
"IIIIZIZI",
"IIIZZIII",
"IIZIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IIIIZIII",
"ZIIIIIII",
"IZIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
14.5,
5,
12,
12.5,
9,
7.5,
2,
-1
] | 0.970756 | [
-23.560638129245536,
37.83539417489853,
-1.311575230557359,
63.361759868114376,
62.423446743543394,
-1.5057784214152352,
15.811604317197334,
-26.812784585281126,
22.560974444989455,
-11.78138868389025,
0.044564208353024284,
0.8612022634707185,
0.6075023366476447,
-2.2910619270190673,
0.3... | {
"n_parameters": 64,
"n_qubits": 8,
"optimal_eigenvalue": -53.5,
"target_ratio": 0.97,
"target_value": -51.894999999999996
} | 198 |
2102677892830655979 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 4, 5], [8, 4], [8, 1], [0, 4, 5], [2, 3, 4], [0, 3], [5, 6, 7], [2, 4, 7], [2, 5, 6], [8, 5, 7], [1, 4, 6], [1, 3, 4]]} | {"states": [250, 474], "expectation_value": -3.751835328809797, "params": null, "bitstrings": ["100000101", "000100101"], "total_optimization_steps": 62, "probabilities": [0.09325048738059798, 0.8720610564973041], "optimization_time": 131.16631245613098} | 0.5 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.3333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(8)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.1666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.8333333333333326], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["000100101"], "largest_eigenvalue": 10.499999999999995} | 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[3];
rz(0.7388800621493045) q[3];
cx q[4], q[3];
h q[5];
cx q[4], q[5];
rz(0.2015523910761664) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(0.07371012057601573) q[5];
cx q[3], q[5];
h q[6];
h q[7];
h q[8];
cx q[4], q[8];
rz(0.... | 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(1.5681) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"ZIIIZIIII",
"ZIIZIIIII",
"IIIIZIIZI",
"IIIIIZIZI",
"ZIIIIIIZI",
"IIIIZIIIZ",
"IIIIIZIIZ",
"IIIZIIIIZ",
"IIIIZIZII",
"IIIIIZZII",
"IIIZIIZII",
"IIZIZIIII",
"IIZZIIIII",
"IIZIIIIZI",
"IIZIIIZII",
"IZIIZIIII",
"IZIZIIIII",
"ZZIIIIIII",
"... | [
0.5,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666... | 0.527737 | [
0.7388800621493045,
0.2015523910761664,
0.07371012057601573,
0.33894052788473467,
1.271199572716222,
-0.790637256361081
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -3.8333333333333326,
"target_ratio": 0.97,
"target_value": -3.7183333333333324
} | 158 |
647de892521e2aa63be27d4c6c55af2d | 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": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "ta... | {"states": [120, 126], "expectation_value": -7.96970093358087, "params": null, "bitstrings": ["0000111", "0000001"], "total_optimization_steps": 72, "probabilities": [0.1700644565586426, 0.5472449557081759], "optimization_time": 65.75941157341003} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + -0.5 * Z(6) | 5 | 7 | 1 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["0000001"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.1434618188856428) q[0];
rz(2.1162475700307253) q[0];
rx(0.012281816822774606) q[1];
rz(2.1975402462260742) q[1];
rx(0.006164191416446551) q[2];
rz(2.8356395873137883) q[2];
rx(0.5134301427780872) q[3];
rz(-2.6084300238330798) q[3];
rx(-1.4797618259992313) q[4];
rz(... | 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(1.5706) q[3], 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]... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970154 | [
0.1434618188856428,
0.5454512432358287,
0.012281816822774606,
0.626743919431177,
0.00616419141644655,
1.2648432605188917,
0.5134301427780873,
2.1039589565516104,
-1.4797618259992313,
-0.16126552265002844,
-0.63504957597227,
-0.7654019547492126,
0.012821637033631803,
0.215496707891395,
1.... | {
"n_parameters": 104,
"n_qubits": 7,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 447 |
-7271762386976171312 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 1], [0, 2], [10, 7], [8, 5, 6], [0, 9, 4], [1, 10, 11], [0, 10], [0, 9, 3]]} | {"states": [463, 975], "expectation_value": -2.653132298303984, "params": [[[0.5661, 0.0019], [0.002, 0.0014], [1.5904, 0.0045000000000000005], [3.1394, 0.0078000000000000005], [3.1390000000000002, 0.006], [2.8572, 0.0025], [0.8278000000000001, 0.0089], [-0.0021000000000000003, 0.0098], [3.1398, 0.0039000000000000003],... | 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(0)) + 0.5 * (Z(7) @ Z(10)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(9) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.... | 1 | 12 | 1 | {"smallest_eigenvalues": [-3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.333333333333332, "smallest_bitstrings": ["001000001110", "001110001010", "110001010000", "110000110000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.16753799991407647) q[0];
rz(0.1392581142461987) q[0];
rx(0.047292721254912774) q[1];
rz(0.04717038947519653) q[1];
rx(2.952920126998926) q[2];
rz(0.1382053498402332) q[2];
rx(2.9866928470176415) q[3];
rz(0.37892258803231615) q[3];
rx(2.956627215435053) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIIIIZI",
"IIIIIIIIIZIZ",
"IZIIIIIIIIZI",
"IZIIIIIIIIIZ",
"IZIIZIIIIIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIIIZZIIIII",
"IIZIIIIIIIIZ",
"IIIIIIIZIIIZ",
"IIZIIIIZIIII",
"ZIIIIIIIIIZI",
"ZZIIIIIIIIII",
"IIIIIIIIZIIZ",
"IIZIIIIIZIII",
"IIIIIIIIIIZI",
"IIIZIIIIIIII",
"IIIIIIIII... | [
0.5,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666663,
0.16666666666... | 0.980167 | [
0.16753799991407647,
0.1392581142461987,
0.047292721254912774,
0.04717038947519653,
2.952920126998926,
0.1382053498402332,
2.9866928470176415,
0.37892258803231615,
2.956627215435053,
0.03164375011553658,
3.0761675501933903,
-0.04362577478901944,
0.44962047396555793,
-0.6341477333571215,
... | {
"n_parameters": 22,
"n_qubits": 12,
"optimal_eigenvalue": -3.333333333333333,
"target_ratio": 0.97,
"target_value": -3.233333333333333
} | 13 |
50b1c25b4f3602b10eee86e1dbea9d5c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [98, 114], "expectation_value": -3.453030538773718, "params": [0.6005, -0.0015, 0.6015, -0.0028, 0.5953, 0.0001, -0.0195, 0.3699, -0.0066, 0.33740000000000003, 0.5959, 0.2026, 0.0329, 0.3902, 0.607, -0.0016, 0.6068, 0.0009000000000000001, 0.5935, -0.0033, -0.011600000000000001, 0.37620000000000003, 0.0002, 0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 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)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(6) + -1.0 * Z(5) | 3 | 7 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001101"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.8499915884053235) q[0];
rz(-0.14349891772228895) q[0];
rx(1.203877261600702) q[1];
rz(0.2150393365018637) q[1];
rx(1.040609558335803) q[2];
rz(-0.08177450222485838) q[2];
rx(0.01954086942686225) q[3];
rz(0.23127635564330884) q[3];
rx(0.1434676212007759) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZIIZI",
"IIIZZII",
"IIZIZII",
"ZIIZIII",
"ZIIIZII",
"IZIZIII",
"IZZIIII",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
0,
-1,
-1,
-1
] | 0.97165 | [
0.8499915884053235,
-0.16699737334558484,
1.2038772616007019,
0.21966274366901276,
1.0406095583358033,
-0.045300346746162776,
0.01954086942686225,
0.36689790091452473,
0.1434676212007759,
0.1777136368610626,
0.8738761575694459,
0.17950440151432287,
-0.01685254030077451,
0.4415997003909127,... | {
"n_parameters": 59,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 14 |
e7144ea70d71aadd33d74573a3d6662c | 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": 3}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [44, 46], "expectation_value": -6.519042705903395, "params": [[[-0.003, 1.0586], [-0.003, 1.0634000000000001], [-0.0024000000000000002, 1.026], [1.5736, -0.002], [0.0023, 1.3008], [1.5765, -0.002], [1.5741, -0.003], [0.8045, 0.0022], [-0.0024000000000000002, 1.2478]], [[-0.0029000000000000002, 0.0086], [-0.0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["111010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-2.6111548585057154) q[0];
ry(0.04908390181156743) q[0];
rz(-2.5002029006474955) q[0];
rz(-1.3599419637177317) q[1];
ry(0.06304487266668787) q[1];
rz(2.148018716993625) q[1];
rz(-2.2496926729126816) q[2];
ry(0.10741059785934896) q[2];
rz(-2.674706116375469) q[2];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IZIIIIIIZ",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIIIZZIII",
"IZIIZIIII",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIZZIIII",
"IZIIIIZII",
"IIIIZIZII",
"IIZIIIZII",
"IIIIIZIII",
"IIIIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"... | [
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,
-2,
-1.5,
-1.5,
-2,
-0.5,
-1,
0
] | 0.971323 | [
-0.05149304273580564,
1.0093511514102733,
0.9143969673052958,
-0.10752637417427777,
1.231632279876969,
1.555617776867316,
0.00733269368906574,
0.07174157788581463,
1.2163371756559005,
1.5719897099116833,
1.5797097726544231,
1.2062319430405248,
0.2638763119313368,
1.3150358185988393,
0.05... | {
"n_parameters": 28,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 3 |
e5362bdf5e727045ae0e3b514af6e6e2 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [21, 29], "expectation_value": -8.876454961549978, "params": [-0.0071, 0.0164, -0.1597, 0.5710000000000001, -0.4198, 0.1437, -0.3408, 0.5892000000000001, -0.4335, 0.7603000000000001, -0.3899, 0.8729, -0.4274, 0.49350000000000005, -0.4041, 0.638, -0.0031000000000000003, 0.7574000000000001, -0.0009000000000000... | -0.25 * (Z(0) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(5)) + 1.25 * Z(2) + -0.25 * Z(0) + -2.5 * Z(4) + 0.0 * Z(1) + -0.5 * Z(5) + 2.0 * Z(3) | 6 | 6 | 3 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["100010"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6613510471018691) q[0];
h q[1];
ry(0.6363557243035431) q[1];
h q[2];
ry(0.8762410042703717) q[2];
h q[3];
ry(1.5797614988899453) q[3];
h q[4];
ry(-1.3227020942037382) q[4];
h q[5];
cx q[5], q[0];
ry(0.6613510471018691) q[0];
cx q[5], q[0];
ry(-0.1472698311... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IZIIZI",
"ZIIIIZ",
"ZIIIZI",
"IIZZII",
"IIZIZI",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"ZIIIII",
"IIZIII"
] | [
-0.25,
-1,
-1.25,
-0.75,
1.75,
-1,
-0.5,
-1.25,
-1.25,
1.25,
-0.25,
-2.5,
0,
-0.5,
2
] | 0.973802 | [
-1.3227020942037382,
1.5797614988899453,
1.7411868845926435,
-0.2945396623583815,
1.2727114486070863,
0.4993285531882329,
1.7524820085407433,
-0.23870673944423812,
-0.4358087178782579,
0.06835119046574256,
-0.27794874849023343,
-0.29686600510111416,
0.5459314081296203,
-0.5128761408398687,... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 64 |
6913e77a092e6b8e92c97148a6d379f5 | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [41, 21], "expectation_value": -0.6899403332712716, "params": [[0.0448, 0.057100000000000005, 0.0637, 0.076], [-0.0171, -0.036000000000000004, -0.0441, -0.060200000000000004]], "bitstrings": ["010110", "101010"], "total_optimization_steps": 10, "probabilities": [0.0246574723879496, 0.025620736809964427], "op... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -0.5 * Z(3) + 0.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["101010", "011010", "010110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.062346765897915706) q[0];
rz(-0.07861393323966848) q[0];
rx(2.8930871888684693) q[1];
rz(-0.5035763423869778) q[1];
rx(3.065918378176062) q[2];
rz(-0.12390964307312333) q[2];
rx(0.1645274144132281) q[3];
rz(-0.4200180781615156) q[3];
rx(3.3932273417708734) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IZIIZI",
"IZIZII",
"IIZZII",
"IZZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1,
-1.5,
-0.5,
0
] | 0.981137 | [
0.06234676589791571,
0.05049997120834073,
2.8930871888684693,
-0.5035763423869778,
3.065918378176062,
-0.12390964307312333,
0.1645274144132281,
-0.4200180781615156,
3.3932273417708734,
0.5128971855755327,
0.717543276190233,
0.1258080823171311,
0.5432549077788699,
-0.25822780889601854,
0.... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 19 |
d84f9d44a9dfbf26b97835693b75dc35 | 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": 7, "source": 0, "target": 2}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 6, "source": 2, "target": 4... | {"states": [9, 11], "expectation_value": -2.121101240009778, "params": [[0.0789, 0.0782], [-0.0835, -0.0825]], "bitstrings": ["1110110", "1110100"], "total_optimization_steps": 10, "probabilities": [0.01818868196672501, 0.02233668767169233], "optimization_time": 2.320341110229492} | -1.75 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -1.75 * Z(2) + -0.25 * Z(0) + 1.0 * Z(1) + 0.5 * Z(3) + -0.75 * Z(4) + 0.75 * Z(6) + 0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["1110100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.0544957536205479) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.5557826562327215) q[1];
cx q[2], q[1];
h q[3];
cx q[1], q[3];
rz(-0.0032907376431637395) q[3];
cx q[1], q[3];
h q[4];
cx q[2], q[4];
rz(-0.5557826562327215) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIIZZI",
"IIIZIZI",
"IIZIZII",
"IIZIIZI",
"ZIIIIIZ",
"ZIIZIII",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
-1.75,
-1.5,
-0.25,
-1.5,
-0.75,
2,
-1.25,
-0.5,
-1.75,
-0.25,
1,
0.5,
-0.75,
0.75,
0.5
] | 0.970515 | [
-0.0544957536205479,
-0.5557826562327215,
-0.0032907376431637395,
0.299953952003397,
0.05659349816966682,
-0.066347426645714,
-0.027618368665391912,
0.24420021272805226,
-1.0163539925721223,
0.3888089131107649,
-1.3118888107954043,
0.3953896828377394,
-0.4523545525544179,
0.702687476802465... | {
"n_parameters": 44,
"n_qubits": 7,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 168 |
61f645001e86ad8a32357cc828ae33cb | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": 3, "target": 6}]} | {"states": [17, 18], "expectation_value": -3.4853972522314844, "params": [[[-0.0018000000000000002, 0.3805, 0.0029000000000000002, 0.006900000000000001], [0.3548, 0.0034000000000000002, 0.3541, 0.0009000000000000001], [-0.0038, 0.38720000000000004, 0.007200000000000001, 0.3934], [-0.0012000000000000001, 0.372, -0.0033,... | 0.5 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(1) @ Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(0) + -0.25 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5) | 12 | 6 | 3 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.75, "smallest_bitstrings": ["111100", "101110", "101101"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.15038466434273182) q[0];
rz(0.42118301557931237) q[0];
ry(0.28708899954207234) q[1];
rz(-0.27485445394378827) q[1];
cz q[1], q[0];
ry(0.1901148908646828) q[0];
rz(0.2287262290700437) q[0];
ry(0.18734906167808343) q[1];
ry(-0.023682175539597058) q[2];
rz(0.27700382... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIZZI",
"IZIIZI",
"ZIIIZI",
"ZZIIII",
"ZZIIZI",
"IZIIIZ",
"ZIZIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
-1,
-0.25,
-1,
-1,
-0.25,
-0.25
] | 0.97053 | [
-0.15038466434273182,
0.42118301557931237,
0.28708899954207234,
-0.27485445394378827,
-0.023682175539597058,
0.27700382481460056,
0.1622888238579501,
0.5301718200087849,
0.7897029924629846,
0.07199435057282833,
0.4789541771511854,
-0.036610724405868766,
0.0936745308390417,
0.01711667076466... | {
"n_parameters": 44,
"n_qubits": 6,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 10 |
87c3ced1ef7832360d99a2d1828a4d93 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [10, 12], "expectation_value": -4.474105370885989, "params": null, "bitstrings": ["110101", "110011"], "total_optimization_steps": 15, "probabilities": [0.07397893941132597, 0.9005734987526041], "optimization_time": 9.604200839996338} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["111010", "011011", "110101", "110011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.4782477501473996) q[0];
h q[1];
ry(-1.5459535955314039) q[1];
h q[2];
ry(1.4800481485142103) q[2];
h q[3];
h q[4];
ry(-0.5454937758325291) q[4];
cx q[3], q[4];
ry(0.5454937758325291) q[4];
cx q[3], q[4];
ry(1.138506081996272) q[3];
cx q[2], q[3];
ry(-0.287... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1,
-1.5,
-1.5,
-0.5
] | 0.996543 | [
-1.5459535955314039,
-1.4782477501473996,
-1.4186720615587136,
1.4800481485142103,
-1.0909875516650582,
0.8505079669655212,
-0.6834200403916963,
0.5759962300615015,
-0.4282561884336213,
-0.15321027442284385,
0.11168667375280134,
-0.09145484919133856,
-0.015716916398529537
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
5194581847612932555 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 2, 5, 6], [8, 4, 6], [0, 4, 6], [8, 3, 5, 7], [1, 5, 7], [8, 6, 7]]} | {"states": [62, 126], "expectation_value": -1.7708572896412538, "params": null, "bitstrings": ["111000001", "110000001"], "total_optimization_steps": 56, "probabilities": [0.0869773548054582, 0.7666526997323554], "optimization_time": 99.90601825714111} | 0.08333333333333333 * (Z(8) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.41666666666666663 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.3333333333333333 * (Z(4) @ Z(6)) + 0.166666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.7500000000000002, "smallest_bitstrings": ["110000001", "010100100", "001010010"], "largest_eigenvalue": 6.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.31405636455819796) q[0];
h q[1];
ry(-0.2958863266206978) q[1];
h q[2];
ry(0.22090099363578783) q[2];
h q[3];
ry(0.18142386725679827) q[3];
h q[4];
ry(-2.947202787652183) q[5];
rz(-pi) q[5];
h q[6];
ry(1.6728993291732113) q[6];
cx q[6], q[5];
ry(-0.16391330... | 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(1.5158) 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... | [
"ZIIIIIZII",
"IIIZIIZII",
"ZIIZIIIII",
"IIZIIIZII",
"ZIZIIIIII",
"IIZZIIIII",
"ZIIIZIIII",
"IIZIZIIII",
"IIZIIIIIZ",
"IIIIZIIIZ",
"ZIIIIZIII",
"IIIZIZIII",
"ZZIIIIIII",
"IZIZIIIII",
"IZZIIIIII",
"IZIIIZIII",
"IIIZIIIZI",
"IZIIIIIZI",
"IIIIIIZII",
"ZIIIIIIII",
"IIIZIIIII",
"... | [
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.41666666666666663,
0.08333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.25,
0.25,
0.16666666666666666,
0.... | 0.970728 | [
1.6728993291732113,
1.212493159631782,
-0.4206208906073587,
0.32782660245100836,
0.5445515967216403,
-0.4585793954063142,
-0.5917726532413956,
0.5199300887321171,
-0.43420954117585386,
0.656818172267346,
-0.6281127291163959,
0.23589194859747314,
-0.3254571214518924,
0.3828319583452552,
-... | {
"n_parameters": 51,
"n_qubits": 9,
"optimal_eigenvalue": -1.8333333333333333,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 8 |
da3c81488557dc57e6e1f0bd43d65336 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [0, 28], "expectation_value": -0.3938382557422812, "params": [[0.0669], [-0.0729]], "bitstrings": ["11111", "00011"], "total_optimization_steps": 10, "probabilities": [0.039092672639986475, 0.041040743980912904], "optimization_time": 1.3967435359954834} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -1.0 * Z(4) + -1.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["00011"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(2.867085271407469) q[0];
rz(0.3043059900979084) q[0];
rx(0.09235165757558533) q[1];
rz(0.9535806604362476) q[1];
rx(-0.1119442096811765) q[2];
rz(1.1846710426102411) q[2];
rx(3.0988563508695517) q[3];
rz(0.5841200851268177) q[3];
rx(0.14325937118774348) q[4];
rz(-1.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[4], q[... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.983007 | [
2.867085271407469,
0.3043059900979084,
0.09235165757558533,
0.9535806604362476,
-0.1119442096811765,
1.1846710426102411,
3.0988563508695517,
0.5841200851268177,
0.14325937118774348,
-1.0539834988881036,
3.200641439537315,
0.13258606659300243
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 12 |
5264b19f3401032e019b258a19fe08a0 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 7}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 3, "source": 3, ... | {"states": [125, 127], "expectation_value": -5.249511221139249, "params": null, "bitstrings": ["10000010", "10000000"], "total_optimization_steps": 46, "probabilities": [0.24988560795313905, 0.24988560795313905], "optimization_time": 52.30265021324158} | 0.25 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(7)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(2) @ Z(4)) + -1.0 * (Z(6) @ Z(5)) + -1.0 * Z(7) + -0.25 * Z(0) + 1.25 * Z(1) + 0.0 * Z(3) + 1.0 * Z(5) + 0.25 * Z(4) + -0.25 * Z(2) + -1.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000", "10100010", "10100000", "10000010"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.5005925624115236) q[0];
h q[1];
ry(1.591564001118678) q[1];
h q[2];
h q[3];
ry(0.6952504778853904) q[3];
h q[4];
ry(0.6873945331184697) q[4];
h q[5];
ry(0.7975154858498489) q[5];
cx q[1], q[5];
ry(-0.7975154858498489) q[5];
cx q[1], q[5];
cx q[1], q[0];
cx... | 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[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[... | [
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIIZIZI",
"ZIZIIIII",
"IIZIZIII",
"ZIIZIIII",
"IIZZIIII",
"IIIZIZII",
"IZZIIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"IIIIIZII",
"IZIIIIII"
] | [
0.25,
-0.5,
-0.75,
-0.25,
-0.75,
-0.5,
-0.5,
-0.25,
-1,
-1,
-0.25,
1.25,
0,
1,
0.25,
-0.25,
-1
] | 0.990522 | [
1.591564001118678,
1.5950309716996978,
1.3905009557707808,
1.3747890662369393,
-1.0011851248230472,
1.5602692576684745,
-0.47416091488479784,
0.15379816803838467,
-0.0676587155553047,
0.014497427338701935,
0.011633393811882156,
-0.04397621596557995,
-0.044092031982984496
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 1 |
-1653545078559878703 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 3], [8, 1, 6], [2, 4], [3, 4], [0, 4], [3, 7], [0, 5]]} | {"states": [356, 357], "expectation_value": -2.931144236041417, "params": [1.6644, 0.11220000000000001, 1.4247, 0.0031000000000000003, 1.0737, -0.7542, 0.7138, 0.0031000000000000003, 1.7613, 0.0891, 1.3348, 0.0, 1.7174, 0.09870000000000001, 1.3964, 0.0026000000000000003, 0.0001, -0.0449, 0.005200000000000001, 0.0081, 0... | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333333, "smallest_bitstrings": ["010011010"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.9648811158156538) q[0];
rz(1.479974942791662) q[0];
rx(0.8443938010997621) q[1];
rz(1.4966873656706117) q[1];
rx(2.2774289853424374) q[2];
rz(1.6265138445509537) q[2];
rx(1.4304975285294494) q[3];
rz(1.5170244275217968) q[3];
rx(-0.07343537121665455) q[4];
rz(1.474... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"ZIIIIIIZI",
"IIZIIIIZI",
"ZIZIIIIII",
"IIIIZIZII",
"IIIIZZIII",
"IIIIZIIIZ",
"IZIIIZIII",
"IIIZIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"ZIIIIIIII",
"IIZIIIIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIZIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0.16666666666666663,
0.3333333333333333,
0.16666666666666674,
0.16666666666666666,
0.16666666666666666,
0,
0,
0,
0
] | 0.971468 | [
1.964881115815654,
-0.09082138400323508,
0.8443938010997621,
-0.0741089611242842,
2.2774289853424374,
0.0557175177560572,
1.4304975285294494,
-0.05377189927309981,
-0.07343537121665457,
-0.09590978582866388,
0.21210473216146983,
0.09274565727750766,
1.8924195939768635,
-0.27170416479158105... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -3.166666666666666,
"target_ratio": 0.97,
"target_value": -3.071666666666666
} | 88 |
d8c959a00da600e8fbae4f9fb196848f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [22, 70], "expectation_value": -3.9888272343098374, "params": null, "bitstrings": ["1101001", "0111001"], "total_optimization_steps": 32, "probabilities": [0.06089263191342597, 0.8637008370974658], "optimization_time": 33.4253134727478} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -2.0 * Z(6) + -0.5 * Z(3) + -0.5 * Z(4) + 0.0 * Z(5) | 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": ["1011001", "0110101", "1010101", "1100101", "1101001", "0111001"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(3.1087166777863207) q[0];
rz(-0.892128208735353) q[0];
rx(-0.10555253505080193) q[1];
rz(-2.1505013782365814) q[1];
cx q[1], q[0];
rz(0.6073105656048865) q[0];
cx q[1], q[0];
rz(-0.29781569235553773) q[1];
rx(2.9616223761668268) q[2];
rz(-1.0732261310631799) q[2];
rx... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIZIII",
"ZIZIIII",
"IIZZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-2,
-0.5,
-0.5,
0
] | 0.983245 | [
3.1087166777863207,
-0.28481764313046676,
-0.10555253505080193,
-2.1505013782365814,
2.9616223761668268,
-0.7288634899619624,
-0.10273246688609211,
-0.4938466676659305,
2.9359389274210392,
-1.2632034020581857,
-0.040063572556002694,
-0.6586718011990842,
3.185777050476411,
-0.72137408456910... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 30 |
c502b67eb6d91d909ba398fa39bec60c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}]} | {"states": [7, 23], "expectation_value": -0.24212449596597094, "params": [[0.0711, 0.07350000000000001], [-0.0762, -0.0688]], "bitstrings": ["11000", "01000"], "total_optimization_steps": 10, "probabilities": [0.037506238056192194, 0.04095045810694136], "optimization_time": 2.128129482269287} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["01000"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(-0.057394609977100594) q[0];
ry(1.5139044986832286) q[1];
ry(0.02914218421175388) q[2];
ry(-0.044368933537627414) q[3];
ry(1.4230068144719492) q[4];
ry(-0.11603950978641897) q[5];
ry(-0.5094548802261205) q[6];
ry(0.04971594069488461) q[7];
ry(0.04895829829331563) 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], ... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IZIZI",
"ZIIZI",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
0,
0,
0
] | 0.971723 | [
-0.057394609977100594,
1.5139044986832286,
0.02914218421175388,
-0.044368933537627414,
1.4230068144719492,
-0.11603950978641897,
-0.5094548802261205,
0.04971594069488461,
0.04895829829331563,
-0.1877934380534667,
1.2428533808206035,
0.09499352879649384,
2.05426296872183,
0.0193934036593824... | {
"n_parameters": 30,
"n_qubits": 15,
"optimal_eigenvalue": -7.999999999999979,
"target_ratio": 0.97,
"target_value": -7.759999999999979
} | 54 |
887595949ae6925e33a681a58519a274 | max_flow | adaptive_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": [14906, 15674], "expectation_value": -46.20580564505556, "params": null, "bitstrings": ["1100010111000101", "1100001011000101"], "total_optimization_steps": 100, "probabilities": [0.0602435952029731, 0.5076907154990158], "optimization_time": 956.4185926914215} | 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.... | 1 | 16 | 4 | {"smallest_eigenvalues": [-48.74999999999991], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -48.749999999999304, "smallest_bitstrings": ["1100001011000101"], "largest_eigenvalue": 170.25000000000009} | 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... | null | {"source": 0, "sink": 5} | {"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];\nry(26.9543) q[12];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc... | [
"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,
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1,
0.5,
0.5,
-0.5,
-0.5,
1,
0.5,
0.5,
-0.5,
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0.25,
1,
0.5,
0.5,
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-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,
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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 |
02575a12c565dc28617818fe7f0b4a99 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [108, 46], "expectation_value": -4.499144840050173, "params": null, "bitstrings": ["0010011", "1010001"], "total_optimization_steps": 34, "probabilities": [0.06552908411539801, 0.9338662432826397], "optimization_time": 35.01308298110962} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + -1.0 * Z(6) + -0.5 * Z(3) + 0.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["0010011", "1010001"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.23507353246165305) q[0];
ry(-2.4415664310148384) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-2.4499701101813587) q[2];
h q[3];
ry(0.9227705559152606) q[3];
h q[4];
ry(-2.458330084571739) q[5];
rz(-pi) q[5];
h q[6];
ry(39.04965588622594) q[6];
cx q[6], q[5];
ry(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IZIIIIZ",
"IIIIZZI",
"ZZIIIII",
"ZIIIIZI",
"IIIZZII",
"ZIIZIII",
"IIZIZII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
0
] | 0.971754 | [
39.04965588622594,
-5.700698017949098,
2.166064408115155,
0.9227705559152606,
0.39121486102403674,
0.6100929370927086,
0.9591104863918101,
0.19270892417635244,
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0.08905781936669226,
-0.26208726603383503,
-0.3379662386073564,
0.04072076886277337,
-0.19606358742522542,
... | {
"n_parameters": 63,
"n_qubits": 8,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 51 |
4689e6baa9337348674476b483dca2ad | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": ... | {"states": [1023, 1022], "expectation_value": -24.649950704941848, "params": [[[-1.9515, 1.0515], [0.0025, 2.0929], [0.002, 0.0024000000000000002], [0.0031000000000000003, 0.0025], [0.0024000000000000002, -0.0027], [0.0029000000000000002, -0.0027], [0.0022, 0.0027], [-0.0026000000000000003, 0.0026000000000000003], [-1.... | -2.0 * (Z(0) @ Z(1)) + -3.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + -3.0 * (Z(7) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(7)) + -2.0 * (Z(5) @ Z(3)) + 1.0 * (Z(6) @ Z(1)) + -3.0 ... | 15 | 10 | 1 | {"smallest_eigenvalues": [-27.5, -27.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -26.5, "smallest_bitstrings": ["0010000011", "0000000001"], "largest_eigenvalue": 24.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-3.3228763645460413) q[0];
ry(-0.01773290141183173) q[1];
ry(0.03795157073497386) q[2];
ry(0.05954017786066649) q[3];
ry(0.006034717495027181) q[4];
ry(0.19316359119073634) q[5];
ry(-0.024658318547400224) q[6];
ry(0.004600627227603411) q[7];
ry(-2.782875244417673) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZIIZIIII",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIZIIIZIII",
"IIIIZIIIZI",
"IIIIZZIIII",
"IIZIZIIIII",
"IIIIZIZIII",
"IIIZIIIIZI",
"IIIZIZIIII",
"IIZZIIIIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IZIIIIIZII",
"ZZIIIIIIII"... | [
-2,
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1,
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1,
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1,
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0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
-1
] | 0.97527 | [
-3.3228763645460413,
-0.01773290141183173,
0.03795157073497386,
0.05954017786066649,
0.006034717495027181,
0.19316359119073634,
-0.024658318547400224,
0.004600627227603411,
-2.782875244417673,
0.0919316310973307,
0.17740334633958119,
3.2112244802381613,
0.04577857084611302,
-0.049895471350... | {
"n_parameters": 17,
"n_qubits": 10,
"optimal_eigenvalue": -27.5,
"target_ratio": 0.97,
"target_value": -26.675
} | 58 |
c1d2db50b6ad0c04975ddbca5d021f38 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [3628, 2604], "expectation_value": -116.09876151575473, "params": [0.8969, -0.0046, 0.47350000000000003, 0.2599, 0.9023, 0.11410000000000001, -0.0058000000000000005, 0.42600000000000005, 0.39, 0.26380000000000003, 0.0022, 0.5805, 0.9038, 0.028, 0.3709, 0.3219, 0.892, 0.1738, 0.8986000000000001, 0.00650000000... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(2) @ Z(0)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(6) @ Z(0)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(9) @ Z(2)) + 7.5 * (Z(9) @ Z(4)) + 7.5 * (Z(7) @ Z(9)) + 7.5 * (Z(8) @ Z(1)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(11) @ Z(0)) + 7.5 * (Z(11) @ Z(6)) + 9.5 * Z(1)... | 16 | 12 | 3 | {"smallest_eigenvalues": [-148.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -127.5, "smallest_bitstrings": ["010111010011"], "largest_eigenvalue": 238.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.2119630456549149) q[0];
rz(0.017661621836975172) q[0];
rx(0.12109438796409736) q[1];
rz(0.5251007512758546) q[1];
cx q[1], q[0];
rz(0.035734375012991204) q[0];
cx q[1], q[0];
rx(0.7868404966881973) q[0];
rz(0.04901843548824836) q[0];
rz(0.10668322944776218) q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZIZII",
"IIIIIZIIIIIZ",
"IIIIIZZIIIII",
"IIZIIIIIIZII",
"IIZIIIIZIIII",
"IIZIZIIIIIII",
"IIIZIIIIIIZI",
"IIZZIIIIIIII",
"IIIZZIIIIIII",
"ZIIIIIIIIIIZ",
"ZIIIIZIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIZI... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
9.5,
20.5,
24.5,
4.5,
13,
-6.5,
25,
4,
14,
3.5,
-10.5,
-11
] | 0.976579 | [
1.2119630456549146,
0.053395996849966404,
0.12109438796409736,
0.5251007512758546,
0.8189392970016478,
-0.11177642097958616,
0.11297200063559937,
0.2804103969590673,
0.03322679231921288,
0.2167234182292413,
-0.01570709563568517,
0.5486647837167693,
0.9920168442263225,
-0.04272525699864028,... | {
"n_parameters": 98,
"n_qubits": 12,
"optimal_eigenvalue": -148.5,
"target_ratio": 0.97,
"target_value": -144.045
} | 13 |
647765b6ab0983718acd0fd4721756f9 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [0, 2047], "expectation_value": -16.640403898915604, "params": [[[-0.0013000000000000002, 1.6021], [0.0019, 0.0068000000000000005], [0.0016, 0.0019], [0.0017000000000000001, 0.002], [0.0021000000000000003, 0.0019], [0.0021000000000000003, 0.002], [-0.0031000000000000003, 0.0023], [0.0016, 0.0023], [0.0021000... | -2.0 * (Z(0) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(0)) + -2.0 * (Z(1) @ Z(4)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + -2.0 * (Z(9) @ Z(10)) + 0.5 * (Z(2) @ Z(10)) + -2.0 * (Z(2) @ Z(9)) + 0.5 * (Z(3) @ Z(10)) + -2.0 * (Z(3) @ Z(9)) +... | 15 | 11 | 1 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.047905906202147505) q[0];
ry(0.07815955579413861) q[1];
ry(0.14554066803158464) q[2];
ry(-0.04192860760811422) q[3];
ry(-0.10658023757062787) q[4];
ry(-0.10658023757062787) q[5];
ry(0.05689852036351767) q[6];
ry(0.14554066803158464) q[7];
ry(-0.10658023757062787)... | OPENQASM 3.0;
include "stdgates.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[11] c;
qubit[11... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIIIZIIIIZ",
"IIIIIIZIIZI",
"IIIIIIIIIZZ",
"IIIIIZIIIZI",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"ZZIIIIIIIII",
"ZIIIIIIIZII",
"IZIIIIIIZII",
"ZIIIIIIZIII",
"IZIIIIIZIII",
"IIIIIIIZZII",
"IIIIIIZIIII",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIIIIIII... | [
-2,
-2,
-2,
-2,
1,
-2,
-1.5,
0.5,
-2,
-2,
0.5,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5
] | 0.971473 | [
-0.047905906202147505,
0.07815955579413861,
0.14554066803158464,
-0.04192860760811422,
-0.10658023757062787,
0.05689852036351767,
0.265888080302116,
0.08882266289314884,
3.2652917603856744,
0.2133011234292173,
-0.033123425719088634,
0.05498080749663792,
0.1385954854718785
] | {
"n_parameters": 13,
"n_qubits": 11,
"optimal_eigenvalue": -21,
"target_ratio": 0.97,
"target_value": -20.37
} | 16 |
42431c1c8039d047c82f7ec388df22d2 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -19.765247034032043, "params": [0.0014, 0.14120000000000002, -0.0033, 0.1237, 0.0009000000000000001, 0.1633, -0.0008, 0.1574, 0.1985, -0.0019, 0.1967, 0.0028, 0.0004, 0.13520000000000001, 0.003, 0.15030000000000002, -0.0001, 0.15810000000000002, -0.001, 0.157, 0.001, 0.16190000... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(8) @ Z(1)) + -1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + -1.5 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.25 * (Z(9) @ Z(1)) + -1.0 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(3)) + -0.5 * (Z(10) @ Z(4)) + -1.0 * (Z(10) @... | 7 | 11 | 4 | {"smallest_eigenvalues": [-20.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.75, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 19.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.09389660486124465) q[0];
rz(1.739473683193994) q[0];
rx(0.024550674781491463) q[1];
rz(1.8928395778798697) q[1];
rx(0.7796781262077006) q[2];
rz(1.668648738045957) q[2];
rx(0.026833085724702232) q[3];
rz(1.667476798602407) q[3];
rx(-0.002585750089636761) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIIZZIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIZIIIII",
"IIIIIIIZIZI",
"IIIIIIZZIII",
"IZIIIIIIIZI",
"IZIIIIZIIII",
"IZIIIIIZIII",
"ZIIIIIZIIII",
"ZIZIIIIIIII",
"ZIIIIIIZIII",
"ZZIIIIIIIII",
"IIIIIIIIZIZ",
"IIIIIIZIZII",
"IIIIIIIZZ... | [
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-1,
-0.5,
-1.5,
-1,
-1.25,
-1,
-0.25,
-0.5,
-1,
-0.75,
-0.5,
2.25,
-0.75,
-0.5,
-0.25,
-0.75,
-0.25,
-0.25,
-1.25,
-0.75,
-0.75,
-0.25,
-1,
-1,
-1,
-0.5,
-0.75,
-1.75,
-0.25,
2.25,
0.25,
-3.25,
-1.25,
0.5,
... | 0.982284 | [
0.09389660486124467,
0.16867735639909773,
0.024550674781491463,
0.32204325108497317,
0.7796781262077006,
0.09785241125106008,
0.026833085724702235,
0.0966804718075106,
-0.002585750089636761,
0.15967284804835535,
0.049964363057277195,
0.5048930710189773,
-0.030044320599898287,
0.16119538034... | {
"n_parameters": 131,
"n_qubits": 11,
"optimal_eigenvalue": -20.75,
"target_ratio": 0.97,
"target_value": -20.127499999999998
} | 20 |
84c2e7811b337ff89f1f9fa11193e77f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 3, "source": ... | {"states": [0, 256], "expectation_value": -9.802375727360557, "params": [0.0033, -0.5187, 0.0032, 0.0097, 0.003, -0.5926, 0.003, 0.0023, 0.0025, -0.4934, 0.0026000000000000003, 0.0097, 0.8034, 0.0654, 0.8026000000000001, 0.0005, 0.003, -0.4657, 0.003, 0.0014, 0.0026000000000000003, -0.5700000000000001, 0.00260000000000... | -0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(10) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(10)) + -0.25 * (Z(9) @ Z(5)) + -1.0 * (Z(11) @ Z(5)) + -0.25 * (Z(11) @ Z(10)) + -0.25 * (Z(11) @ Z(4)) + -1.0 * (Z(7) @ Z(10)) + -0.5 * (Z(7) @ Z(4)) + -0.75 * (Z(7) @ Z(9)) + -0.75 * (Z(7) @ Z(11)) + -0.7... | 5 | 12 | 1 | {"smallest_eigenvalues": [-11.25, -11.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.25, "smallest_bitstrings": ["111011111111", "111011110111"], "largest_eigenvalue": 16.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.07422052361567535) q[0];
rz(pi/2) q[0];
ry(0.1327131110030325) q[1];
ry(-0.013984156047389396) q[2];
ry(0.7123330916036581) q[3];
ry(-0.09895122968939914) q[4];
ry(0.12280940212682696) q[5];
ry(-0.10740617062594396) q[6];
ry(-0.01174524370235501) q[7];
ry(0.278189... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIZ",
"IZIIIIIIIIIZ",
"IIIIIIIZIIZI",
"IIIIIZZIIIII",
"IZIIIZIIIIII",
"IIZIIIZIIIII",
"ZIIIIIZIIIII",
"ZZIIIIIIIIII",
"ZIIIIIIZIIII",
"IZIIZIIIIIII",
"IIIIZIIZIIII",
"IIZIZIIIIIII",
"ZIIIZIIIIIII",
"IIIZIIIZIIII",
"IIZZIIIIIIII",
"IIIIIIIIZIIZ",
"IZIIIIIIZIII",
"ZIIIIIIII... | [
-0.25,
-0.5,
-0.75,
-0.75,
-0.25,
-0.25,
-1,
-0.25,
-0.25,
-1,
-0.5,
-0.75,
-0.75,
-0.75,
-0.5,
1,
-0.25,
-0.5,
1.25,
-0.25,
-0.25,
-0.75,
-0.75,
-0.5,
-1.5,
-1.25,
2,
1.25,
0.75,
0
] | 0.97531 | [
0.07422052361567535,
0.1327131110030325,
-0.013984156047389396,
0.7123330916036581,
-0.09895122968939914,
0.12280940212682696,
-0.10740617062594396,
-0.01174524370235501,
0.278189174189615,
0.06593300495214152,
-0.03830891522119054,
0.09883240129363692,
0.14755469413848776,
-0.070624493490... | {
"n_parameters": 164,
"n_qubits": 12,
"optimal_eigenvalue": -11.25,
"target_ratio": 0.97,
"target_value": -10.9125
} | 9 |
-6888968808167084749 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 3, 6], [1, 3, 5], [1, 3, 4, 6], [0, 4, 5], [3, 7], [4, 5, 6], [1, 7], [4, 5, 7], [1, 2, 4, 6], [0, 2], [0, 1, 4], [2, 3, 5], [0, 4, 6, 7]]} | {"states": [120, 214], "expectation_value": -0.7658971502989269, "params": [[-0.1643], [0.1766]], "bitstrings": ["10000111", "00101001"], "total_optimization_steps": 20, "probabilities": [0.00648840088099578, 0.006634170711788744], "optimization_time": 6.555892705917358} | 0.25 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.25 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.4166666666666656], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.3333333333333344, "smallest_bitstrings": ["00101001"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.008625827325947903) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.01910621262920909) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.021893682209352533) q[3];
cx q[0], q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(-0.0086258273... | OPENQASM 3.0;
include "stdgates.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[8] c;
qubit[8] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIZIII",
"IZZIIIII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZZIII",
"IZIZIIII",
"IIZZIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"ZZIIIIII",
"ZIZIIIII",
"ZIIZIIII",
"IIIIIZZI",
"IIIIIZI... | [
0.25,
0.3333333333333333,
0.08333333333333333,
0.25,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.41666666666666663,
0.08333333333333333,
0.41666666666666663,
0.5,
0.5,
0.08333333333... | 0.970626 | [
-0.008625827325947903,
0.01910621262920909,
0.021893682209352533,
-0.004423890053557859,
0.06065562652926322,
0.03727135741802814,
-1.545141639710399,
-1.592359404186979,
-4.753333998736703,
-1.28541670489391,
-1.4973549364726682,
1.5770430678681875,
1.5654545606953483
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -3.4166666666666656,
"target_ratio": 0.97,
"target_value": -3.3141666666666656
} | 119 |
339c7fe0000b9f3d24083d98998c20d8 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 1, "target": 4}, {"capaci... | {"states": [49, 17], "expectation_value": -11.16581569909803, "params": null, "bitstrings": ["001110", "101110"], "total_optimization_steps": 41, "probabilities": [0.3178122281742425, 0.38263760981447176], "optimization_time": 32.10112190246582} | -1.5 * (Z(0) @ Z(3)) + -2.25 * (Z(4) @ Z(3)) + -1.75 * (Z(4) @ Z(0)) + 3.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -1.25 * Z(3) + -0.25 * Z(0) + -2.75 * Z(4) + 3.0 * Z(5) + 1.75 * Z(1) + -0.5 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "smallest_bitstrings": ["101110"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.2133399821377441) q[0];
rz(-pi) q[0];
h q[1];
ry(0.7495760698632566) q[1];
h q[2];
ry(-0.08887877219422799) q[3];
rz(-pi) q[3];
ry(-0.19278541536231975) q[4];
rz(-pi) q[4];
h q[5];
ry(1.391295280431935) q[5];
cx q[5], q[4];
ry(-0.3176700012489248) q[4];
cx q[5], q... | 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(1.5709) 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",
"IZZIII",
"IZIIIZ",
"ZIIIIZ",
"IZIIZI",
"ZIIIZI",
"IIZZII",
"IZIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIIZII"
] | [
-1.5,
-2.25,
-1.75,
3.5,
-1.25,
-0.5,
-0.5,
-1,
-1.25,
-0.25,
-2.75,
3,
1.75,
-0.5
] | 0.975641 | [
1.391295280431935,
-2.0329462789083035,
-1.6956809126815016,
-1.1529907529787395,
0.6353400024978496,
-0.45032158544803697,
-0.6578536032438583,
1.4991521397265133,
-0.28415573829494634,
-1.8771011169893437,
0.14516579000424013,
1.3509798685023018,
-0.8662456018688108,
-1.517406511507313,
... | {
"n_parameters": 23,
"n_qubits": 6,
"optimal_eigenvalue": -19.25,
"target_ratio": 0.97,
"target_value": -18.6725
} | 21 |
17305e67dbef55db83cc5ad58149e99d | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [310, 319], "expectation_value": -16.817392807555834, "params": null, "bitstrings": ["1011001001", "1011000000"], "total_optimization_steps": 100, "probabilities": [0.16652436468696166, 0.5404946123298355], "optimization_time": 191.15868067741394} | -2.0 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -2.0 * (Z(2) @ Z(0)) + -2.0 * (Z(4) @ Z(8)) + -2.0 * (Z(1) @ Z(8)) + -1.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(7) @ Z(8)) + -2.0 * (Z(7) @ Z(5)) + -3.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(1)) + -2.5 * (Z(9) @ Z(5)) + -2.5 * (Z(9) @ Z(7)) + 0.5... | 5 | 10 | 1 | {"smallest_eigenvalues": [-25.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["1011000000"], "largest_eigenvalue": 21.5} | 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(-0.7779307942734098) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(-0.019056816927033645) q[2];
cx q[3], q[2];
cx q[0], q[2];
rz(-0.7779307942734098) q[2];
cx q[0], q[2];
rz(-1.2047947436001314) q[0];
rx(-1.072090424510769) q[... | null | {"node": 0} | {"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[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[5] = measu... | [
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIIIIZIZ",
"IZIIIZIIII",
"IZIIIIIIZI",
"IIIIIZIIZI",
"IZIIZIIIII",
"IZZIIIIIII",
"IIZIZIIIII",
"ZZIIIIIIII",
"ZIIIIZIIII",
"ZIIIIIIIZI",
"ZIIIZIIIII",
"ZIZIIIIIII",
"IZIZIIIIII",
"IIIZZIIIII",
"IIZZIIIIII",
"ZIIZIIIIII",
"IIIIIIZIII",
"IIIIIIIIIZ"... | [
-2,
0.5,
-2,
-2,
-2,
-1.5,
0.5,
0.5,
-2,
-3.5,
0.5,
0.5,
-2.5,
-2.5,
0.5,
1,
-2,
-2.5,
-1,
-1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.606852 | [
-0.7779307942734098,
-0.019056816927033645,
-1.204794743600131,
-0.15185329437607098,
-0.7774373089750254,
-0.4361073806445658,
-1.3080971813505486,
-1.072090424510769
] | {
"n_parameters": 8,
"n_qubits": 10,
"optimal_eigenvalue": -25.5,
"target_ratio": 0.97,
"target_value": -24.735
} | 216 |
b0dd1050887f092ff1c439d2cb12f6fe | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 5, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [33, 1], "expectation_value": -0.48137520075473694, "params": [[-0.056], [0.0714]], "bitstrings": ["11011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.005081360249503373, 0.005358693712568489], "optimization_time": 2.0277388095855713} | -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] 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[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"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 |
-3287990916887847028 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[8, 9], [0, 1, 5, 6], [1, 3, 4, 5, 6, 9], [0, 1, 2, 3, 4, 6, 9, 10], [8, 1], [0, 1, 4, 7, 9, 10], [0, 3, 4, 5, 6], [0, 1, 4, 5, 7, 9], [2, 5, 6, 7, 8], [0, 1, 2, 3, 5, 10], [0, 1, 3, 4, 6, 7, 9], [1, 3, 4, 5, 6, 10], [1, 2, 4, 5, 7], [0, 1, 3, 4, 5], [0, 2, 3... | {"states": [1997, 989], "expectation_value": -2.529738060816368, "params": [1.1771, -0.2444, 1.0403, 0.005, 1.1919, -0.2194, 1.1967, 0.0012000000000000001, 1.1969, -0.2245, 1.1693, 0.008700000000000001, 1.1987, -0.0553, 1.1981000000000002, 0.0046, 1.1816, -0.2053, 1.0546, 0.0032, 1.1727, -0.2187, 1.0356, 0.0053, 1.1907... | 0.5 * (Z(9) @ Z(10)) + 0.10833333333333334 * (Z(0) @ Z(10)) + 0.14166666666666666 * (Z(1) @ Z(10)) + 0.5 * (Z(1) @ Z(9)) + 0.27499999999999997 * (Z(1) @ Z(0)) + 0.06666666666666667 * (Z(6) @ Z(10)) + 0.05 * (Z(6) @ Z(9)) + 0.2833333333333333 * (Z(6) @ Z(0)) + 0.31666666666666665 * (Z(6) @ Z(1)) + 0.075 * (Z(7) @ Z(10))... | 5 | 11 | 1 | {"smallest_eigenvalues": [-3.519047619047618], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.471428571428571, "smallest_bitstrings": ["10000100010"], "largest_eigenvalue": 13.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.5754439268801017) q[0];
rz(-1.3986629620258695) q[0];
rx(1.8671826485288705) q[1];
rz(-0.6048428932827972) q[1];
rx(1.0128326723268553) q[2];
rz(0.004444461512620901) q[2];
rx(1.4559835058120814) q[3];
rz(-0.05425031670797775) q[3];
rx(1.4230796428238794) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZZIIIIIIIII",
"ZIIIIIIIIIZ",
"ZIIIIIIIIZI",
"IZIIIIIIIZI",
"IIIIIIIIIZZ",
"ZIIIZIIIIII",
"IZIIZIIIIII",
"IIIIZIIIIIZ",
"IIIIZIIIIZI",
"ZIIZIIIIIII",
"IZIZIIIIIII",
"IIIZIIIIIIZ",
"IIIZIIIIIZI",
"IIIZZIIIIII",
"ZIIIIIZIIII",
"IIIIIIZIIIZ",
"IIIIIIZIIZI",
"IIIIZIZIIII",
"IIIZIIZII... | [
0.5,
0.10833333333333334,
0.14166666666666666,
0.5,
0.27499999999999997,
0.06666666666666667,
0.05,
0.2833333333333333,
0.31666666666666665,
0.075,
0.05,
0.17500000000000002,
0.19166666666666665,
0.25,
0.075,
0.20833333333333331,
0.19166666666666665,
0.23333333333333334,
0.158333... | 0.973493 | [
0.5754439268801017,
-1.1836425521123668,
1.8671826485288703,
-0.6624927325170812,
1.0128326723268553,
-0.0003183031622200072,
1.4559835058120811,
-0.03556154812369689,
1.4230796428238792,
0.14689487869722662,
0.2086290940477601,
-0.32542141255739204,
1.9935767600285965,
-0.5081456027823184... | {
"n_parameters": 55,
"n_qubits": 11,
"optimal_eigenvalue": -3.519047619047618,
"target_ratio": 0.97,
"target_value": -3.4134761904761897
} | 103 |
661cced0578972d7643211676f7285ba | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [1498, 1502], "expectation_value": -4.051394822311228, "params": [[[-0.0023, 1.2383], [1.1682000000000001, -0.0029000000000000002], [0.0653, -0.8208000000000001], [1.5771000000000002, 0.0024000000000000002], [1.5799, -0.002], [1.5781, 0.003], [0.2029, 0.7033], [1.5743, -0.0029000000000000002], [1.5786, 0.002... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(0) @ Z(5)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(1) @ Z(7)) + 0.0625 * (Z(8) @ Z(1)) + 0.0625 * (Z(4) @ Z(6... | 1 | 12 | 2 | {"smallest_eigenvalues": [-4.6875, -4.6875, -4.6875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.6875, "smallest_bitstrings": ["110000000101", "100100001100", "101000100001"], "largest_eigenvalue": 7.3125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rz(2.1904934034808496) q[0];
ry(0.018226724902598117) q[0];
rz(-0.8298949006407561) q[0];
rz(1.2370752548760198) q[1];
ry(2.8984932283005764) q[1];
rz(-1.7684553438092312) q[1];
rz(-1.216609148562058) q[2];
ry(0.06752337639353462) q[2];
rz(0.7522778825021135) q[2];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIIZZZI",
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIIIIZZIIII",
"IIIIIIZZIIIZ",
"IIIIIIIZIIZI",
"IIIIIZIIIIZI",
"IIIIZIIIIIZI",
"IIIZIIIIIIZI",
"IIIIIZIZIIII",
"IIIIZIIZIIII",
"IIIZIIIZIIII",
"IIIIZZIIIIII",
"IIIZIZIIIIII",
"IIIZZIIII... | [
0.25,
0.25,
0.25,
-0.25,
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,
... | 0.982338 | [
0.011194870656382194,
1.2393348998288476,
1.1647061092849087,
-0.08016189683721837,
-0.09440073622067638,
-0.6459406039185045,
1.4303838174859969,
0.055879738293498966,
1.5989083475407455,
-0.14299821109435618,
1.3667793063425733,
-0.11823041747092694,
-0.07325720109714504,
0.9050936553088... | {
"n_parameters": 44,
"n_qubits": 12,
"optimal_eigenvalue": -4.6875,
"target_ratio": 0.97,
"target_value": -4.546875
} | 13 |
47007465d812e52d6cf0f90e500474b2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 3, "source": 0, ... | {"states": [17, 1], "expectation_value": -0.9719047878169813, "params": [[-0.0437], [0.0536]], "bitstrings": ["11101110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.005347023296303776, 0.005596807980562974], "optimization_time": 2.742997407913208} | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(0)) + -2.25 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + 3.25 * (Z(7) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -2.25 * (Z(1) @ Z(5)) + -1.0 * (Z(1) @ Z(6)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.75 * (Z(4) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-25.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 23.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.010418842956713317) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.010418842956713317) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.07852291536953825) q[5];
cx q[0], q[5];
h q[6];
cx q[2], q[6];
rz(-0.0113075483... | OPENQASM 3.0;
include "stdgates.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[8] c;
qubit[8] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIZIIZII",
"IIZIIIIZ",
"IZIIIZII",
"IZIIIIIZ",
"IZZIIIII",
"ZIIIIIIZ",
"IIIIIZZI",
"IIZIIIZI",
"IZIIIIZI",
"IIZIZIII",
"IIIIZIZI",
"IIZZIIII",
"IZIZIIII",
"IIIZIIZI",
"IIIZZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIZII... | [
-1.25,
-1.25,
-0.75,
-2.25,
-1,
-0.25,
3.25,
-1,
-2.25,
-1,
-0.75,
-0.5,
-0.5,
-0.75,
-1.25,
-0.5,
-3.75,
-0.25,
0.25,
-0.75,
3.25,
3.5,
0.75,
-3
] | 0.957503 | [
0.010418842956713317,
-0.07852291536953825,
-0.01130754837804566,
-0.03448098766537879,
-0.8881560218664669,
0.5896927126042808,
-0.0009249845132533887,
-0.4907420804812563,
-1.3642238354960774,
-0.5076491354743884,
-0.48993940491905774,
-0.4934794165189021,
-1.6765669492456872,
0.02830463... | {
"n_parameters": 26,
"n_qubits": 8,
"optimal_eigenvalue": -25,
"target_ratio": 0.97,
"target_value": -24.25
} | 500 |
ceada473950316c985fdaa58a8618609 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 3}, {"weight": 10, "source": 2, "target": 3}, {... | {"states": [125, 109], "expectation_value": -66.32220140129405, "params": [0.2973, 0.5643, 1.0906, -0.0492, 1.0676, 0.06330000000000001, 0.5445, 0.38930000000000003, 1.0577, -0.015700000000000002, 1.0919, 0.1884, 0.27690000000000003, 0.46390000000000003, 1.0793000000000001, 0.1628, 0.2968, 0.5209, 1.0645, 0.0442, 1.068... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 167.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.018928191739904274) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.018928191739904274) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.018928191739904274) q[2];
cx q[0], q[2];
rz(0.14657733939079343) q[0];
rx(0.3533677365058779) q[0];
h q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
14,
4.5,
17.5,
13,
15,
23,
6.5,
13.5
] | 0.971601 | [
0.018928191739904274,
-1.2296849783401864,
0.14657733939079362,
-1.2247777007286582,
-0.06013279515597353,
-2.0386095780878914,
-1.6431671013193643,
0.6421356284179992,
-1.8359197421625808,
0.3533677365058779,
-0.05358507740007074,
-0.44427693109859534,
1.4350546521930594,
-0.6327842321609... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -71,
"target_ratio": 0.97,
"target_value": -68.87
} | 68 |
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