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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
f808eaed2b970e83f5c2cdba346511af | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "targ... | {"states": [0, 16383], "expectation_value": -21.258888283755983, "params": [[[0.0026000000000000003, 1.614], [0.0019, 0.0027], [0.0023, 0.0027], [0.0018000000000000002, 0.0028], [0.0028, 0.0016], [0.0032, -0.0028], [-0.0029000000000000002, 0.0029000000000000002], [0.002, 0.0022], [0.0016, 0.0018000000000000002], [0.001... | -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)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + 1.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(10)) + -1.5 * (Z(9) @ Z(10)) +... | 15 | 14 | 1 | {"smallest_eigenvalues": [-26.999999999999808], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.999999999999805, "smallest_bitstrings": ["00000000000000"], "largest_eigenvalue": 23.000000000000014} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
ry(-0.14660390097845322) q[0];
ry(-0.0542692423065495) q[1];
ry(-0.10223017573339888) q[2];
ry(-0.08804355835270164) q[3];
ry(-0.069044331436135) q[4];
ry(-0.02462598972232081) q[5];
ry(-0.010290063148329809) q[6];
ry(0.04831442285702933) q[7];
ry(0.11670243057145224) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZZ",
"IIIIIIIIIIIZZI",
"IIIIIIIIIIIZIZ",
"IIIIIIIIIIZIZI",
"IIIIIIIIIIZIIZ",
"IIIIIIIIIIZZII",
"IIIIIIIIZZIIII",
"IIIIIIIZZIIIII",
"IIIIIIIZIZIIII",
"IIIIIIZIZIIIII",
"IIIIIIZIIZIIII",
"IIIIIIZZIIIIII",
"IIIZIZIIIIIIII",
"IIIZZIIIIIIIII",
"IIIIZZIIIIIIII",
"ZIZIIIIIIIIIII"... | [
-1.5,
-2,
-2,
0.5,
0.5,
-2,
-2,
-2,
-2,
1,
-2,
-2,
-1.5,
-1.5,
0.5,
-2,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5
] | 0.976668 | [
-0.14660390097845322,
-0.0542692423065495,
-0.10223017573339888,
-0.08804355835270164,
-0.069044331436135,
-0.02462598972232081,
-0.010290063148329809,
0.04831442285702933,
0.11670243057145224,
0.03997170760261793,
3.229292715498789,
-0.052397172752581926,
0.18288513823550467,
-0.063090234... | {
"n_parameters": 15,
"n_qubits": 14,
"optimal_eigenvalue": -26.999999999999808,
"target_ratio": 0.97,
"target_value": -26.189999999999813
} | 23 |
b2309033b6624415ccab4ec6991f5bce | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, ... | {"states": [12975, 15023], "expectation_value": -3.277521564343158, "params": [1.5676, 0.0027, 1.5749, 0.0014, 0.9546, 0.47100000000000003, 0.2872, 0.7119000000000001, 1.4904000000000002, 0.3672, -0.0036000000000000003, 1.1, 1.5768, 0.6092000000000001, 0.5096, 0.8451000000000001, 1.4028, 0.1794, 0.1837, 0.8269000000000... | 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... | 3 | 14 | 2 | {"smallest_eigenvalues": [-4.125000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.125000000000001, "smallest_bitstrings": ["00010101010000"], "largest_eigenvalue": 5.875000000000017} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
rx(1.8077038032399073) q[0];
rz(-0.012604662463587601) q[0];
rx(1.7113188875234084) q[1];
rz(0.062477914972632664) q[1];
rx(1.5485655214217333) q[2];
rz(0.4598853806341343) q[2];
rx(-0.10332820676206783) q[3];
rz(1.206498792346732) q[3];
rx(1.404672382128714) 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": []} | [
"IIIIIIIIIIIIZZ",
"IIIIIIIIIIIZIZ",
"IIIIIIIIIIZIIZ",
"IIIIIIIIIZIIIZ",
"IIIIIIIIIIIZZI",
"IIIIIIIIIIZIZI",
"IIIIIIIIIZIIZI",
"IIIIIIIIIIZZII",
"IIIIIIIIIZIZII",
"IIIIIIIIIZZIII",
"IIIIIIIIIIIZZZ",
"IIIIIIIIIIZIZZ",
"IIIIIIIIIZIIZZ",
"IIIIIIIIIIZZIZ",
"IIIIIIIIIZIZIZ",
"IIIIIIIIIZZIIZ"... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.5,
0.125,
0.125,
0.125,
0.125,
0.... | 0.975787 | [
1.807703803239907,
-0.04200960570267162,
1.7113188875234084,
0.12303269481834897,
1.5485655214217335,
0.14880784740208253,
-0.10332820676206782,
0.7546914020822503,
1.4046723821287137,
0.298593828578469,
-0.017053380378249793,
1.0874544662564471,
1.8788160561178926,
0.5298602686487988,
0... | {
"n_parameters": 79,
"n_qubits": 14,
"optimal_eigenvalue": -4.125000000000004,
"target_ratio": 0.97,
"target_value": -4.001250000000004
} | 14 |
0541faf635a6399f550a5b5935bfa17a | 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": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [5, 33], "expectation_value": -3.9741067800335346, "params": null, "bitstrings": ["111010", "011110"], "total_optimization_steps": 17, "probabilities": [0.07397901535986358, 0.9005745124138398], "optimization_time": 13.044834613800049} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["010111", "111010", "111001", "100111", "011110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2586347423333518) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.2586347423333518) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2586347423333518) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(0.2586347423333518) q[2];
cx q[3], q[2];
rz... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"ZIIIZI",
"ZZIIII",
"IIZZII",
"IZIZII",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1.5,
-1,
-1
] | 0.849143 | [
0.2586347423333518,
-0.9522193741903392,
-0.4483492681819256,
-1.0023321824572908,
0.8794944450881496,
-1.7734914868935794,
-1.1441282434786142,
-0.46313879118016416
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 241 |
-4110772197468043772 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4], [1, 2], [0, 6], [1, 6], [0, 3], [2, 6], [3, 6], [0, 2], [0, 4], [2, 5], [1, 5]]} | {"states": [56, 60], "expectation_value": -2.2349834092888914, "params": null, "bitstrings": ["1000111", "1000011"], "total_optimization_steps": 49, "probabilities": [0.21192613315769368, 0.45790669586527183], "optimization_time": 57.14822173118591} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(6) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -1.5, "smallest_bitstrings": ["1000111", "1101010", "0010111", "0111100", "1111000", "0010101", "0111000", "0000111", "1000011", "1101000"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.5212835336178407) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.5212835336178407) q[3];
cx q[4], q[3];
cx q[4], q[0];
rz(0.5212835336178407) q[0];
cx q[4], q[0];
cx q[3], q[0];
rz(0.5212835336178407) q[0];
cx 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];\ncry(-1.0342) q[3], 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... | [
"IIZZIII",
"IIIIZZI",
"IIZIIIZ",
"IIIZIIZ",
"IIIIZIZ",
"ZIIZIII",
"ZIIIZII",
"ZIIIIZI",
"ZIIIIIZ",
"IZIIZII",
"IZIIIZI",
"IIZIIII",
"IIIZIII",
"IIIIZII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IZIIIII"
] | [
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
] | 0.577655 | [
0.5212835336178407,
-1.2945187388588633e-8,
-0.6330956871340108
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 90 |
eedfffae46889ceabb09be93decddfde | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [75, 27], "expectation_value": -4.29062642298981, "params": null, "bitstrings": ["0110100", "1100100"], "total_optimization_steps": 50, "probabilities": [0.047690857277397795, 0.8614514270561976], "optimization_time": 50.380123138427734} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(6) + -1.5 * Z(1) + -0.5 * Z(3) + 0.0 * Z(5) + -0.5 * Z(4) | 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(4.217220369268761e-08) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(4.217220369268761e-08) q[1];
cx q[2], q[1];
rz(1.2027812523740522e-08) q[2];
rx(1.5707964081955679) q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[0], q[6];
rz(4.21722036... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"ZIIIIIZ",
"IIIIZZI",
"ZIIIIZI",
"IIIZIZI",
"IZIIIZI",
"ZIZIIII",
"IIZZIII",
"IIIIZII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IZIIIII",
"IIZIIII"
] | [
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,
0,
-0.5
] | 0.555556 | [
4.217220369268761e-8,
1.2027812282288794e-8,
1.5707961882202157,
1.570796334854686,
-1.5707962765535362,
1.570796408195568
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 169 |
c0867fa83c27790e640a8471c35b357b | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 7},... | {"states": [2047, 1023], "expectation_value": -0.734686075318321, "params": [[0.058800000000000005], [-0.047]], "bitstrings": ["00000000000", "10000000000"], "total_optimization_steps": 10, "probabilities": [0.0006719107072622096, 0.0006793676928278956], "optimization_time": 2.1171414852142334} | -1.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(2)) + -2.0 * (Z(10) @ Z(2)) + 0.5 * (Z(10) @ Z(9)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(9)) + -1.5 * (Z(1) @ Z(10)) + 0.5 * Z(4) + 0.5 * Z(3... | 5 | 11 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(3.1415923092200906) q[0];
ry(0.6151822522510383) q[0];
rz(-1.5707959051185434) q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-1.5533407020371541) q[3];
cx q[4], q[3];
rz(0.02014685341594369) q[3];
rx(-0.9556140745439001) q[3];
rz(0.02014685341594369) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[4], q[3];
rz(x0) q[3];
c... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIZZIII",
"IIIIZZIIIII",
"IIZIZIIIIII",
"IIZIIZIIIII",
"IIIZZIIIIII",
"IIIZIZIIIII",
"IIZZIIIIIII",
"IZIIIIIIZII",
"ZIIIIIIIZII",
"ZZIIIIIIIII",
"IIIIIIIIZZI",
"IZIIIIIIIZI",
"ZIIIIIIIIZI",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIII... | [
-1,
-2,
1,
-2,
-2,
1,
-2,
-2,
-2,
0.5,
-2,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.553221 | [
-1.5533407020371541,
-0.816371998924727,
-0.5241907302168147,
0.020146853415943692,
-1.157571510725252,
-1.5707960834423649,
-0.9556140745439001
] | {
"n_parameters": 7,
"n_qubits": 11,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 207 |
ae7030272ac936e661be9cf623126b78 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "... | {"states": [2944, 3968], "expectation_value": -4.814863876553833, "params": [[0.07250000000000001], [-0.056100000000000004]], "bitstrings": ["010001111111", "000001111111"], "total_optimization_steps": 10, "probabilities": [0.000627124648668678, 0.0006530644049203242], "optimization_time": 4.26310396194458} | -2.0 * (Z(0) @ Z(2)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(0)) + 1.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + -4.0 * (Z(5) @ Z(6)) + -3.5 * (Z(10) @ Z(6)) + -3.5 * (Z(10) @ Z(5)) + 2.0 * (Z(11) @ Z(6)) + ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-55.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -52.5, "smallest_bitstrings": ["000001111111"], "largest_eigenvalue": 65.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.7703212094076174) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-0.6776183227746584) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.6776183227746584) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(-0.3280369077547342) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZ",
"IIIIIIIIZZII",
"IIIIIIIIZIIZ",
"IIIIIIIZIZII",
"IIIIIIIZIIIZ",
"IIIIIIIZZIII",
"IIIIIIIIIZZI",
"IIIIIIIIIIZZ",
"IIIIIIIIZIZI",
"IIIIIIIZIIZI",
"IIIIIZZIIIII",
"IZIIIZIIIIII",
"IZIIIIZIIIII",
"ZIIIIZIIIIII",
"ZIIIIIZIIIII",
"ZZIIIIIIIIII",
"IIIIZZIIIIII",
"IIIIZIZII... | [
-2,
-2.5,
-2.5,
1,
-2,
-2.5,
0.5,
0.5,
-2.5,
0.5,
-4,
-3.5,
-3.5,
2,
-3.5,
-3.5,
-3.5,
1.5,
-4,
1,
-4,
1.5,
1.5,
-4,
-3,
-4,
2,
-3.5,
-3.5,
1.5,
1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
2.5,
-3.5,
2,
2,
-3,
-3,
-3.5
] | 0.542669 | [
-0.7703212094076174,
-0.6776183227746584,
-0.3280369077547342,
-0.16447862936097127,
-0.4318904301341304,
-0.5608282615318323,
-0.3497573229732017,
-0.22452007585413328,
-0.6444870604330722,
-0.3820615865891255,
-1.0679057303935862
] | {
"n_parameters": 11,
"n_qubits": 12,
"optimal_eigenvalue": -55.5,
"target_ratio": 0.97,
"target_value": -53.835
} | 231 |
253d3995de007ce15800f0023018551d | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2... | {"states": [1, 13], "expectation_value": -9.431332681900324, "params": null, "bitstrings": ["1111110", "1110010"], "total_optimization_steps": 33, "probabilities": [0.2058374582510394, 0.6353629477863946], "optimization_time": 28.158268928527832} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + 1.75 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.75 * Z(6) + 1.75 * Z(3) + 1.0 * Z(4) + -0.5 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-10.5, -10.5, -10.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110", "1110000", "1110010"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.02121917373057882) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.7085683064572578) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.06024138352319858) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.06024138352319858) q[3];
cx q[1], q[... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIIZ",
"IIIZIZI",
"IIIZZII",
"IIZIIZI",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
-0.5,
-0.25,
-1,
1.75,
-1,
-0.5,
-0.75,
-0.75,
-0.5,
-2,
-0.25,
-1.75,
1.75,
1.75,
1,
-0.5
] | 0.970798 | [
-0.02121917373057882,
0.7085683064572578,
-0.06024138352319858,
-0.717158803780761,
-0.027419781330413187,
0.9534655477484596,
0.681696906877384,
-0.7086536622318328,
1.7659512478861448,
0.02937759427138251,
1.1009043106829477,
-0.25747217679567397,
-1.11426630721713,
0.6485468629559561,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 73 |
8c697c43ffe81bc66c8ab3745873443f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "targ... | {"states": [0, 16383], "expectation_value": -59.03131406903729, "params": [[[0.0024000000000000002, 0.0039000000000000003], [0.0022, 0.008], [0.0023, 0.0041], [0.0023, 0.0067], [0.0022, 0.00030000000000000003], [0.0027, 0.006], [0.0025, 0.006900000000000001], [0.0027, 0.0049], [0.0022, 0.0085], [0.0022, 0.0074], [0.002... | -3.0 * (Z(0) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + -3.5 * (Z(8) @ Z(0)) + -3.0 * (Z(9) @ Z(7)) + -3.5 * (Z(9) @ Z(0)) + 1.0 * (Z(9) @ Z(8)) + -4.0 * (Z(11) @ Z(7)) + -4.0 * (Z(11) @ Z(0)) + -3.5 * (Z(11) @ Z(8)) + 2.0 * (Z(11) @ Z(9)) + 1.0 * (Z(6) @ Z(7)) + 1.5 * (Z(6) @ Z(0)) + -3.0 * (Z(6) @ Z(8)) + -4.0 * (Z(6) @ Z(9)) +... | 2 | 14 | 1 | {"smallest_eigenvalues": [-64.99999999999955], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.999999999999744, "smallest_bitstrings": ["00000000000000"], "largest_eigenvalue": 64.00000000000013} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
rx(0.0001346061298749077) q[0];
rz(-0.41417363529674583) q[0];
rx(2.0982479730938063e-05) q[1];
rz(0.34163721718671314) q[1];
rx(-1.880238465160697e-05) q[2];
rz(-0.4200862962971627) q[2];
rx(-1.880238465160697e-05) q[3];
rz(-0.18563347024970694) q[3];
rx(2.09824797309... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIIIZ",
"IIIIIZZIIIIIII",
"IIIIIZIIIIIIIZ",
"IIIIZIZIIIIIII",
"IIIIZIIIIIIIIZ",
"IIIIZZIIIIIIII",
"IIZIIIZIIIIIII",
"IIZIIIIIIIIIIZ",
"IIZIIZIIIIIIII",
"IIZIZIIIIIIIII",
"IIIIIIZZIIIIII",
"IIIIIIIZIIIIIZ",
"IIIIIZIZIIIIII",
"IIIIZIIZIIIIII",
"IIZIIIIZIIIIII",
"IIIZIIZIIIIIII"... | [
-3,
1,
-3.5,
-3,
-3.5,
1,
-4,
-4,
-3.5,
2,
1,
1.5,
-3,
-4,
-4,
0.5,
1,
-2.5,
0.5,
-3.5,
-2.5,
-2.5,
1,
-3,
0.5,
-3,
1,
0.5,
1,
-3,
-3,
0.5,
0.5,
1,
-2.5,
-2.5,
-3,
1,
-3,
1,
-3,
-3,
-2,
2,
1,
-2.5,
-3.5,
1.5,
1,
0.5,
... | 0.923077 | [
0.0001346061298749077,
-0.41417363529674583,
0.000020982479730938063,
0.34163721718671314,
-0.00001880238465160697,
-0.4200862962971627,
-0.18563347024970694,
0.2255705218776169,
-0.00004649932092759859,
0.6382058553487038,
0.000058101015306984065,
0.01807511261218514,
0.1966100249717638,
... | {
"n_parameters": 21,
"n_qubits": 14,
"optimal_eigenvalue": -64.99999999999955,
"target_ratio": 0.97,
"target_value": -63.04999999999956
} | 300 |
4700601e722e5f0a0c40acc2968ffc97 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 1, "target": 4}]} | {"states": [14255, 14253], "expectation_value": -7.743500183928528, "params": [0.7156, 0.5224, 0.7143, 0.0039000000000000003, 1.6860000000000002, 0.2933, 1.4542000000000002, 0.0013000000000000002, 1.4936, 0.041, 1.6355000000000002, 0.008, 0.7021000000000001, 0.4889, 0.7059000000000001, 0.0035, 1.5070000000000001, -0.06... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 7 | 15 | 1 | {"smallest_eigenvalues": [-9.499999999999979], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.49999999999996, "smallest_bitstrings": ["100100001010010"], "largest_eigenvalue": 28.50000000000009} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6706529503752435) q[0];
h q[1];
ry(1.4146339409758935) q[1];
h q[2];
ry(-0.5581047246583587) q[2];
h q[3];
cx q[3], q[0];
ry(0.6706529503752435) q[0];
cx q[3], q[0];
ry(-0.44205081723318096) q[0];
ry(0.9054299760275487) q[3];
rz(-pi) q[4];
ry(-0.0725877717... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIZI",
"IIIIIIIZZIIIIII",
"IIIIIIZIIIIIZII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
1.25,
1.25,
1.25,
1.25,
1.25,
1.25,
0.75,
0.75,
0.7... | 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 |
b05d4a1781ebf310d5e2be36b5154b7b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [292, 300], "expectation_value": -8.252347437716285, "params": [0.39840000000000003, 0.4012, 0.1358, 0.13040000000000002, -0.0034000000000000002, 0.0008, 0.31930000000000003, 0.3163, -0.012, -0.0049, 0.2917, 0.2864, 0.40140000000000003, 0.4035, -0.0088, -0.0123, 0.005200000000000001, 0.0039000000000000003, 0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) ... | 13 | 9 | 3 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["011010011"], "largest_eigenvalue": 25.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.42765315613034305) q[0];
rz(-0.304656469332177) q[0];
ry(-0.029203616898170102) q[1];
ry(0.2132833723170069) q[2];
ry(0.6300421230113363) q[3];
ry(0.18354619241778244) q[4];
ry(0.45959321427508903) q[5];
ry(0.4795108014510183) q[6];
ry(0.172696078039661) q[7];
ry(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x11;
input float[64] x12;
input float[64] x13;
inpu... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"IIIIIIZZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIIIIZZII",
"IZIIIZIII",
"ZIIIIZIII",
"IIIIIZIZI",
"IIIZIIZII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIZIIIZI",
"IIIIZIZII",
"IIIIZZIII",
"IIIZZIIII",
"ZIZIIIIII",
"IIZIZIIII",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1,
-2,
-2,
-2,
-2,
-2,
-1.5,
-0.5
] | 0.973729 | [
0.42765315613034305,
-0.029203616898170102,
0.2132833723170069,
0.6300421230113363,
0.18354619241778244,
0.45959321427508903,
0.4795108014510183,
0.172696078039661,
-0.0794240213917366,
-0.609312938664354,
0.3461300172009282,
0.018313177397773606,
0.018969244627318305,
-0.43756964483679595... | {
"n_parameters": 107,
"n_qubits": 9,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 9 |
3bcfe4648282d1b3b76d6f42e87e5c5d | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [109, 115], "expectation_value": -0.04515672113731738, "params": [[-0.0545], [0.06420000000000001]], "bitstrings": ["10010010", "10001100"], "total_optimization_steps": 10, "probabilities": [0.004290059068069294, 0.004290059068069294], "optimization_time": 6.772084951400757} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(3) @ Z(5)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(6) @ Z(1)) + 0.0625 * (Z(7) @ Z(1)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.3125, -3.3125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.3125, "smallest_bitstrings": ["10010010", "10001100"], "largest_eigenvalue": 5.6875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.4983893330425997) q[1];
cx q[0], q[1];
ry(0.4983893330425997) q[1];
cx q[0], q[1];
ry(1.066076181721017) q[0];
ry(-0.5938713995022797) q[1];
h q[2];
ry(1.5402154026626123) q[2];
h q[3];
ry(1.5402154026626123) q[3];
ry(-0.17623757719026006) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1],... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZZIII",
"IZZIIIII",
"IIZIZIII",
"ZIIIZIII",
"ZIZIIIII",
"ZIZIZIII",
"IIIIIZZI",
"IIIZIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IIIZIZII",
"IZIIIZII",
"ZIIIIZII",
"IZIZIIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIZIZZI",
"IZIIIZZI",
"ZIIIIZZI",
"IZIZIIZI",
"ZIIZIIZ... | [
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.062... | 0.996974 | [
-1.5938656292948508,
-1.3287538149981546,
1.5402154026626123,
-0.9967786660851994,
0.7888739065478406,
-0.13160986921296364,
-0.42930010710070565,
0.5544045503463523,
-0.32914258480314823,
0.19808762382699582,
-0.14239960728529294,
0.027159174901727368,
0.17468980324708977,
-0.025156201310... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [33, 3], "expectation_value": -6.427194135294741, "params": [[0.046400000000000004, 0.0366, 0.0227], [-0.042, -0.052000000000000005, -0.044700000000000004]], "bitstrings": ["011110", "111100"], "total_optimization_steps": 10, "probabilities": [0.03122960775399624, 0.031959639545171246], "optimization_time": ... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5... | 9 | 6 | 3 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.8012111076319184) q[0];
ry(-2.800432370667173) q[1];
rz(-pi) q[1];
h q[2];
cx q[2], q[0];
ry(0.8012111076319184) q[0];
cx q[2], q[0];
ry(-0.6297922003853687) q[0];
ry(0.47256397378589904) q[2];
h q[3];
ry(0.902684951569005) q[3];
ry(-2.539634315256677) 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": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
-6,
-6,
-6,
-5.75,
-5.5,
-5.25
] | 0.97092 | [
-1.3534878512218063,
1.5980321926942207,
-0.5087559348189883,
0.902684951569005,
1.049840712772453,
-1.6024222152638368,
0.3595906621996474,
0.7061982879717381,
-1.2595844007707373,
0.9451279475717981,
-1.8637580935742109,
1.102091920108346,
0.5252794009800849,
0.16113765377932213,
0.424... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 63 |
a603da1a0fa48a0c889ceccbdae517d6 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, ... | {"states": [56, 35], "expectation_value": -0.10194128026535247, "params": [[-0.0604], [0.0748]], "bitstrings": ["1000111", "1011100"], "total_optimization_steps": 10, "probabilities": [0.008601189238486158, 0.008601189238486162], "optimization_time": 1.1466403007507324} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(6) + -0.5 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["1000111", "0111100", "0110101", "1010101", "0101011", "1011100", "0100111", "0111010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.12013546374620043) q[0];
rz(-2.7657142779613313) q[0];
rx(2.422375160516799) q[1];
rz(1.7107104948808987) q[1];
rx(2.971844809689707) q[2];
rz(1.9173206430283765) q[2];
rx(-0.06343407625664142) q[3];
rz(1.7368643240472572) q[3];
rx(1.8818951710672067) q[4];
rz(1.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(x0) q[4];
cx q[1], q[4];
cx q[4], q[5];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIZI",
"IZZIIII",
"IZIIZII",
"ZIIIZII",
"IIZZIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.97452 | [
-0.12013546374620043,
1.946674702423359,
2.422375160516799,
0.1399141680860021,
2.971844809689707,
0.3465243162334797,
-0.0634340762566414,
0.16606799725235954,
1.8818951710672067,
0.02925917178505204,
2.866478378027777,
0.8664717337629608,
0.26591522697777975,
1.2093847600605423,
-1.709... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 15 |
18dd4c426cbe67a44eb1a1feaa80acf2 | 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": 4}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -1.9579132853280086, "params": [[-0.045700000000000005, -0.0296, -0.0206], [0.065, 0.0463, 0.0385]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.008385972626468481, 0.008455058741786665], "optimization_time": 5.054851531982422} | -1.0 * (Z(0) @ Z(4)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + -1.75 * (Z(7) @ Z(1)) + -1.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-13.0, -13.0, -13.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -12.0, "smallest_bitstrings": ["10000000", "10001000", "10011110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(0.030884823531118308) q[1];
cx q[3], q[1];
h q[4];
cx q[4], q[0];
rz(0.030884823531118308) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(-0.40111922029181324) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(0.007720559305830536)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIIIZIZI",
"IIZZIIII",
"IIZIZIII",
"IIZIIIZI",
"IZIZIIII",
"IZIIZIII",
"IZIIIIZI",
"IZZIIIII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIIIIZI",
"IIIIIZZI",
"IIZIIZII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII"
] | [
-1,
-1,
-1.25,
-0.5,
-0.5,
-1.5,
-1.5,
-0.5,
-0.25,
1.25,
-1,
-1.75,
-1.75,
-0.75,
-1.75,
-0.25,
-1,
2,
-0.25,
0.25,
-1.5,
2.5
] | 0.931747 | [
0.030884823531118308,
-0.40111922029181324,
0.007720559305830536,
-0.23315600538113385,
0.24539243476162034,
-0.4806649345399758,
0.17063070767241398,
-0.008540380939666133,
-1.7059085606254492,
1.636041258700253,
-0.9195588453897449,
1.2680234351244943,
0.021909361287217762,
-0.3369092285... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 500 |
410a620476bb1ab89428221268021245 | 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": 2}, {"source": 1, "target": 3}, ... | {"states": [20, 10], "expectation_value": -4.6083229555027545, "params": [[0.1734, 0.15810000000000002], [-0.1839, -0.17250000000000001]], "bitstrings": ["1101011", "1110101"], "total_optimization_steps": 20, "probabilities": [0.037295384228001105, 0.038395112409227786], "optimization_time": 7.561216115951538} | 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(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.5, "smallest_bitstrings": ["1101011", "0101111", "1110101", "1110011", "0110111"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-1.525316287080557) q[1];
h q[2];
ry(-0.4635246956282743) q[2];
h q[3];
cx q[3], q[2];
ry(0.4635246956282743) q[2];
cx q[3], q[2];
ry(-0.7097453387884464) q[2];
ry(0.7841495963456939) q[3];
h q[4];
ry(-0.4635246956282743) q[4];
cx q[0], q[4];
ry(0.463... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"IZIIIZI",
"IZIIIIZ",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"ZZIIIII",
"IIIIZZI",
"IZIIZII",
"ZIIIZII",
"IIIZIZI",
"ZIIZIII",
"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,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1.5,
-1.5,
-2,
-2.5,
-1.5,
-1
] | 0.990361 | [
-1.525316287080557,
-1.6516093367694655,
-0.9270493912565486,
0.7841495963456939,
-0.551144413376185,
0.530091856908911,
0.5655279925104985,
-0.31720185082452274,
-0.42736748625662185,
0.05151037849362506,
-0.0336782670524875,
0.0448106142806983,
-0.017479746617684006
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 1 |
9d1382902993d8e771af3489e0021226 | 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": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [26, 25], "expectation_value": -4.4999374806790025, "params": null, "bitstrings": ["100101", "100110"], "total_optimization_steps": 28, "probabilities": [1.635688897925884e-05, 0.9999687410137484], "optimization_time": 23.735366344451904} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(4) + -1.0 * Z(5) + -1.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.5734866058128874) q[0];
ry(-3.049185198245095) q[1];
rz(-pi) q[1];
h q[2];
ry(1.356383431000579) q[2];
cx q[2], q[1];
ry(-0.11338480721692776) q[1];
cx q[2], q[1];
ry(0.08622704143012419) q[2];
rz(-pi) q[3];
ry(-0.08286575263427674) q[3];
ry(-0.06072020170... | 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[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];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"ZIIIIZ",
"ZZIIII",
"IIZIZI",
"IIZZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-0.5,
-1,
-1,
-1
] | 0.994348 | [
-1.5734866058128874,
-1.636888113613539,
-1.4874054263622778,
1.356383431000579,
1.3650040642332704,
-0.04534139745877805,
0.22676961443385552,
-0.02917844896579387,
0.17245408286024838,
-0.03354793163126881,
0.029471096484107714,
0.07208817537219585,
0.1322483325046339,
-0.092611818275263... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
5144181ac27497fdfa9bdb5b8b799630 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}]} | {"states": [58, 42], "expectation_value": -0.11603154484035644, "params": [0.8916000000000001, 0.8795000000000001, 0.8553000000000001, 0.8755000000000001, 0.8932, 0.8913000000000001, 0.6614, 0.6812, 0.9011, 0.8931, 0.6617000000000001, 0.6764, 0.889, 0.5001, 0.5401, 0.6521, 0.8914000000000001, -0.5653, -0.6749, 0.886500... | 0.25 * (Z(0) @ Z(1)) + -0.003125 * (Z(2) @ Z(0)) + -0.003125 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.003125 * (Z(4) @ Z(0)) + 0.0015625 * (Z(4) @ Z(2)) + -0.003125 * (Z(5) @ Z(1)) + 0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.006249999999999978 * Z(1) + -0.006249999999999978 * Z(0) + -0.001562499999999994... | 14 | 6 | 1 | {"smallest_eigenvalues": [-0.759375, -0.759375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.753125, "smallest_bitstrings": ["101010", "010101"], "largest_eigenvalue": 0.7718750000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[2] q;
h q[0];
ry(-1.5486225528998339) q[0];
h q[1];
ry(-1.5451929801415893) q[1];
| OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIZIZI",
"IIZZII",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
-0.003125,
-0.003125,
0.25,
-0.003125,
0.0015625,
-0.003125,
0.0015625,
0.25,
-0.006249999999999978,
-0.006249999999999978,
-0.0015624999999999944,
-0.0015624999999999944,
-0.0015624999999999944,
-0.0015624999999999944
] | 0.999809 | [
-1.5486225528998339,
-1.5451929801415893
] | {
"n_parameters": 2,
"n_qubits": 2,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 1 |
aa65765ad90492d9fd8f9e59d7f1b90e | 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": 5}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [68, 69], "expectation_value": -6.1301646404318655, "params": [0.0712, 0.0692, -0.0029000000000000002, 0.0038, 0.47240000000000004, 0.4665, -0.0018000000000000002, -0.0057, 0.0014, -0.006, -0.00030000000000000003, -0.0027, 0.5993, 0.6022000000000001, 0.1317, 0.13040000000000002, 0.4652, 0.46280000000000004, ... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) ... | 13 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -6.0, "smallest_bitstrings": ["111010101", "111101100", "010111011", "010011111", "111111000", "110111010", "001101111", "111110001"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.026295397597378978) q[0];
rz(0.11788995119938402) q[0];
ry(-0.009628269374406154) q[1];
ry(0.7086296004043675) q[2];
ry(0.007396229827941275) q[3];
ry(0.21812469055588068) q[4];
ry(-0.21731248424754243) q[5];
ry(0.7780145918671575) q[6];
ry(0.15320610015130337) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIIZ",
"IZIIIIIIZ",
"ZIIZIIIII",
"ZIIIIIIIZ",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIIZIIZII",
"IZIIIIZII",
"IIIIIIZZI",
"ZIIIIZIII",
"IIIIIZIZI",
"IIZIIIIZI",
"IIZIIZIII",
"IIIZZIIII",
"IIIIZIZII",
"IIIIZZIII",
"IIZIZIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1.5,
-2,
-1.5,
-1.5,
-1,
-1.5
] | 0.978294 | [
-0.026295397597378978,
-0.009628269374406154,
0.7086296004043675,
0.007396229827941275,
0.21812469055588068,
-0.21731248424754243,
0.7780145918671575,
0.15320610015130337,
0.392351226860912,
0.23577990239876803,
0.15356915332387439,
0.031698844648118035,
0.4578894933663379,
-0.126960086886... | {
"n_parameters": 72,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 10 |
c0867fa83c27790e640a8471c35b357b | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 7},... | {"states": [831, 1023], "expectation_value": -14.65397057554885, "params": null, "bitstrings": ["10011000000", "10000000000"], "total_optimization_steps": 100, "probabilities": [0.11182921288336588, 0.4085807555626607], "optimization_time": 180.6258623600006} | -1.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(2)) + -2.0 * (Z(10) @ Z(2)) + 0.5 * (Z(10) @ Z(9)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(9)) + -1.5 * (Z(1) @ Z(10)) + 0.5 * Z(4) + 0.5 * Z(3... | 5 | 11 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(3.1415923092200906) q[0];
ry(0.6151822522510383) q[0];
rz(-1.5707959051185434) q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-1.5533407020371541) q[3];
cx q[4], q[3];
rz(0.02014685341594369) q[3];
rx(-0.9556140745439001) q[3];
rz(0.02014685341594369) q[4];... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5706) q[10], 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... | [
"IIIIIIZZIII",
"IIIIZZIIIII",
"IIZIZIIIIII",
"IIZIIZIIIII",
"IIIZZIIIIII",
"IIIZIZIIIII",
"IIZZIIIIIII",
"IZIIIIIIZII",
"ZIIIIIIIZII",
"ZZIIIIIIIII",
"IIIIIIIIZZI",
"IZIIIIIIIZI",
"ZIIIIIIIIZI",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIII... | [
-1,
-2,
1,
-2,
-2,
1,
-2,
-2,
-2,
0.5,
-2,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.553221 | [
-1.5533407020371541,
-0.816371998924727,
-0.5241907302168147,
0.020146853415943692,
-1.157571510725252,
-1.5707960834423649,
-0.9556140745439001
] | {
"n_parameters": 7,
"n_qubits": 11,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 207 |
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": -19.343061591675735, "params": [0.24910000000000002, -0.0039000000000000003, 0.2777, 0.0721, 0.2151, -0.0302, 0.2873, 0.0629, -0.009300000000000001, 0.5253, -0.0145, 0.5485, -0.030600000000000002, 0.49870000000000003, -0.0366, 0.513, -0.0149, 0.4793, -0.0596, 0.5353, -0.0189, 0... | -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 | 4 | {"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] 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": 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 |
5fb7d8d9ff75f939abcd806fd5ddfb77 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5}]} | {"states": [28, 31], "expectation_value": -6.970149770234404, "params": null, "bitstrings": ["00011", "00000"], "total_optimization_steps": 36, "probabilities": [0.1987185784071432, 0.5937893192176302], "optimization_time": 16.657758712768555} | -2.0 * (Z(1) @ Z(0)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + 1.0 * Z(0) + -1.5 * Z(1) + 1.0 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) | 5 | 5 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["00000"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(0.7271854011955323) q[0];
h q[1];
h q[2];
ry(0.7271854011955323) q[2];
cx q[1], q[2];
ry(-0.7271854011955323) q[2];
cx q[1], q[2];
cx q[2], q[0];
ry(-0.7271854011955323) q[0];
cx q[2], q[0];
ry(0.2660463563487423) q[1];
cx q[0], q[1];
ry(-0.2660463563487423) ... | null | {"node": 0} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(1.5708) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqu... | [
"IIIZZ",
"IIZIZ",
"IIZZI",
"ZZIII",
"IIIIZ",
"IIIZI",
"IIZII",
"ZIIII",
"IZIII"
] | [
-2,
-1.5,
-2,
-1,
1,
-1.5,
1,
0.5,
0.5
] | 0.970709 | [
1.4543708023910646,
0.5320927126974846,
0.6689654446825201,
2.5295075337818456,
3.1647654971573203,
-1.2984094867828495,
0.7950964642752983,
1.318471255961886,
0.0578093070600795,
-0.7712875775969058,
-1.3382078591712685,
0.508467822908262,
-1.949484859227235,
-0.041784803235239976
] | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 78 |
a4c9222a5b9b1eb79ad1a9b8af6d1a47 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [81, 13], "expectation_value": -0.12645861078789317, "params": [[-0.0558], [0.0592]], "bitstrings": ["0101110", "1110010"], "total_optimization_steps": 10, "probabilities": [0.008391675312390608, 0.008497122037360322], "optimization_time": 1.4292984008789062} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["0110110", "0011110", "1110010", "0101110"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.13387575191618376) q[0];
rz(1.1268784712756936) q[0];
ry(-0.061935718834311704) q[1];
rz(-0.1256254565339984) q[1];
cx q[1], q[0];
ry(0.17863550986638815) q[1];
rz(-0.3160573702508178) q[1];
ry(1.4040934845537838) q[2];
rz(-0.04167296684653175) q[2];
ry(2.707808468... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZIIIIZ",
"IIZIIZI",
"IIZIZII",
"IIIIZZI",
"IZIZIII",
"IIIZIZI",
"IIIZZII",
"ZZIIIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-1,
-1,
0
] | 0.975619 | [
0.13387575191618376,
1.1268784712756936,
-0.061935718834311704,
-0.1256254565339984,
1.4040934845537838,
-0.04167296684653175,
2.7078084688485244,
-0.10488526508814922,
1.3362806829468774,
-0.0064888997952568545,
1.0065816399454337,
0.0076161104372490795,
1.4428275119501128,
1.359197111971... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 37 |
0541faf635a6399f550a5b5935bfa17a | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [502, 733], "expectation_value": -0.11965439625213832, "params": [[-0.0584, -0.04], [0.07010000000000001, 0.0567]], "bitstrings": ["1000001001", "0100100010"], "total_optimization_steps": 10, "probabilities": [0.0012800190956807765, 0.0012800917990351145], "optimization_time": 12.156387567520142} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 1 | 10 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100010100", "0011000010", "1000001001", "0010011000", "0100100010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2586347423333518) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.2586347423333518) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2586347423333518) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(0.2586347423333518) q[2];
cx q[3], q[2];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIIZZIIZ",
"IIIIZIZIIZ",
"IIIIZZIIIZ",
"IIIIZZZIII",
"IIIIZZZIIZ",
"IIZZIIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IZZZIIIIII",
"IIIIIIZIZI"... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.2... | 0.849143 | [
0.2586347423333518,
-0.9522193741903392,
-0.4483492681819256,
-1.0023321824572908,
0.8794944450881496,
-1.7734914868935794,
-1.1441282434786142,
-0.46313879118016416
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 241 |
8198021928293f705270038472b9e016 | 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": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 7, "source": 0, "target": 3}, {"capacity": 7, "s... | {"states": [65, 1], "expectation_value": -2.599150069720879, "params": [[-0.0771], [0.0743]], "bitstrings": ["110111110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.004069898795427852, 0.004706549692023761], "optimization_time": 3.180114984512329} | -1.0 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(0)) + -1.75 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(3)) + 5.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(3)) + -2.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-33.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 23.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.2154578741281564) q[0];
rz(0.34104839509878815) q[0];
rx(0.014353031530877552) q[1];
rz(-0.20570222180983766) q[1];
rx(0.08050603302810429) q[2];
rz(-0.008367973851877153) q[2];
rx(0.08050603302810427) q[3];
rz(0.16236793919225168) q[3];
rx(0.12664392325642937) 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] 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... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"IIIIZIIZI",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IZIIIIZII",
"IZIIIZIII",
"IZZIIIIII",
"IZIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"... | [
-1,
-0.5,
-1,
-0.5,
-1.75,
-1.75,
-1.5,
5.75,
-0.5,
-1,
-0.5,
-1.25,
-2.75,
-0.5,
-0.25,
-0.25,
-0.25,
-1.75,
-1,
-0.75,
-0.25,
-0.75,
0.25,
-1,
5.25,
0,
-0.5,
-2.25
] | 0.970861 | [
-0.21545787412815637,
0.3285993477694789,
0.014353031530877552,
-0.021653355952673856,
0.08050603302810427,
-0.07075527064291534,
0.1259199627627,
0.12664392325642937,
-0.06670408457052271,
-0.12000144934019084,
0.21144554096104196,
-0.14863542639379768,
-0.11968746102607022,
0.24510922225... | {
"n_parameters": 23,
"n_qubits": 9,
"optimal_eigenvalue": -33.25,
"target_ratio": 0.97,
"target_value": -32.2525
} | 9 |
589a81c8fd04d28f25b3e8e25563f55c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 3, "source": 3, ... | {"states": [128, 127], "expectation_value": -0.24305135814526324, "params": [[0.0695, -0.062], [-0.0804, 0.017400000000000002]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004696986157561509, 0.004795998029955347], "optimization_time": 2.663249969482422} | 0.25 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * Z(7) + -0.25 * Z(0) + 0.0 * Z(4) + -0.25 * Z(1) + 1.25 * Z(3) + -1.25 * Z(2) + -0.5 * Z(6) + 1.25 * Z(5) | 1 | 8 | 2 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.5130369850171268) q[0];
h q[1];
ry(0.6921837006580918) q[1];
ry(-2.9297706304665203) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4827454569868557) q[3];
h q[4];
ry(0.7494136005938985) q[4];
h q[5];
ry(0.7413727284934278) q[5];
cx q[3], q[5];
ry(-0.7413727284934278) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"ZIIIIIIZ",
"IIIZIIZI",
"IIIIZIZI",
"IIIIZZII",
"ZZIIIIII",
"IZIZIIII",
"IIZIIZII",
"IZZIIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IIIIZIII",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII"
] | [
0.25,
-0.5,
-0.75,
-1,
-0.5,
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
0,
-0.25,
1.25,
-1.25,
-0.5,
1.25
] | 0.987277 | [
1.4827454569868557,
1.3843674013161835,
1.498827201187797,
1.4332589832961582,
-1.0260739700342536,
1.4650064478335973,
-0.45148341590726787,
0.1454629789395838,
0.03571598507532223,
0.17021348520364954,
0.09444752324091105,
-0.05078619528911972,
0.03558495876298554,
0.0021142938081167356,... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 1 |
03ff3a7533d396b93efc645d4aae3cbe | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 2}, {"weight": 15, "source": 0, "target": 5}, {"weight": 20, "source": 0, "ta... | {"states": [454, 244], "expectation_value": -11.811809239242862, "params": [[-0.031100000000000003], [0.0734]], "bitstrings": ["000111001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.0038381776796661826, 0.004144492413483789], "optimization_time": 2.0074234008789062} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 20.0 * Z(1) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 160.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-2.10304971759109) q[0];
rz(-pi) q[0];
ry(-0.24410310415688244) q[1];
rz(-pi) q[1];
h q[2];
ry(8.240891103426156) q[2];
cx q[2], q[1];
ry(22.223176400538815) q[1];
cx q[2], q[1];
ry(-13.10126796190722) q[1];
ry(12.694351918652945) q[2];
rz(-pi) q[3];
ry(-2.5393297900... | 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],... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IIIZIIIZI",
"IIIZIIZII",
"IIZIIIIZI",
"IIZZIIIII",
"IZIIIZIII",
"IZIIZIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
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,
20,
14,
19,
16.5,
5.5,
5.5,
14,
2,
0.5
] | 0.979637 | [
-4.236258050817545,
8.240891103426156,
-44.44635280107763,
10.92177445155632,
23.78718800876833,
29.079093892187462,
-26.20253592381444,
25.38870383730589,
-6.828198545345845,
0.9101744701734394,
0.6023915406110187,
0.10875931289913231,
0.8269743797419378,
-0.03591519098931931,
0.0849196... | {
"n_parameters": 81,
"n_qubits": 9,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 128 |
9eba0eb61d68d02031648cd3b7f06dec | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [338, 370], "expectation_value": -136.21292144453605, "params": [[-0.0061, -0.007500000000000001, -0.0021000000000000003, 0.9381, -0.0036000000000000003, 0.9968, -0.0297, 0.9817, -0.0024000000000000002, 0.0026000000000000003, 0.7874, 0.0016], [-0.0009000000000000001, 0.0013000000000000002, -0.0142, 0.8612000... | 8.0 * (Z(2) @ Z(3)) + 8.0 * (Z(0) @ Z(6)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(7) @ Z(5)) + 8.0 * (Z(1) @ Z(7)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(4) @ Z(6)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(4) @ Z(7)) + 8.0 * (Z(8) @ Z(5)) + 8.0 * (Z(10) @ Z(3)) + 8.0 * (Z(10) @ Z(4)) + 8.0 * (Z(11) @ Z(10)) + 17.0 * Z... | 10 | 12 | 3 | {"smallest_eigenvalues": [-164.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -141.0, "smallest_bitstrings": ["111010001101"], "largest_eigenvalue": 229.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.15928474122393843) q[0];
ry(0.17191487949384532) q[1];
ry(0.18051288415276115) q[2];
ry(0.478761673055425) q[3];
ry(-0.01653946772674597) q[4];
ry(1.1076859728400472) q[5];
ry(-0.32075451001696054) q[6];
ry(1.0489775347483967) q[7];
ry(0.11168575645579466) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZII",
"IIIIIZIIIIIZ",
"IIIIIZZIIIII",
"IIIIZZIIIIII",
"IIIIZIZIIIII",
"IIIIZIIIIIZI",
"IIIIIIIZZIII",
"IIIIIZIZIIII",
"IIIIIIZZIIII",
"IIIIZIIZIIII",
"IIIZIIZIIIII",
"IZIIIIIIZIII",
"IZIIIIIZIIII",
"ZZIIIIIIIIII",
"IIIIIIIIZIII",
"IIIIIIIIIZII",
"IIIIIZIIIIII",
"IIIIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
17,
-5.5,
26,
-3.5,
25,
23.5,
-6.5,
25.5,
-3.5,
13.5,
-6,
-11.5
] | 0.978422 | [
0.15928474122393843,
0.17191487949384532,
0.18051288415276115,
0.478761673055425,
-0.01653946772674597,
1.1076859728400472,
-0.32075451001696054,
1.0489775347483967,
0.11168575645579466,
0.12303020925490014,
0.5582205047793023,
-0.08958887677566489,
-0.09316327531589856,
0.2624521777007932... | {
"n_parameters": 45,
"n_qubits": 12,
"optimal_eigenvalue": -164,
"target_ratio": 0.97,
"target_value": -159.07999999999998
} | 18 |
97a25582d9da2a01a479d6704a1ea86e | 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": 2}, {"source": 2, "target": 3}, {"source": ... | {"states": [1023, 1007], "expectation_value": -16.518092567603347, "params": [[[0.0026000000000000003, 3.1619], [0.0034000000000000002, 0.0027], [0.0035, -0.0031000000000000003], [0.0021000000000000003, 0.0027], [0.0021000000000000003, 0.002], [-1.6095000000000002, 0.002], [0.0022, 0.0021000000000000003], [0.0019, 0.00... | -2.0 * (Z(0) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(9)) + -1.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * Z(3) + 0.5 * Z(0) + ... | 15 | 10 | 1 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["0000010000"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.8001657332672415) q[0];
h q[1];
ry(0.8339113904806998) q[1];
h q[2];
ry(0.4715393498940401) q[2];
h q[3];
ry(0.2665764535763486) q[3];
h q[4];
cx q[4], q[3];
ry(-0.2665764535763486) q[3];
cx q[4], q[3];
cx q[3], q[0];
ry(-0.8001657332672415) q[0];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
ry(x0) q[0];
ry(... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IZIZIIIIII",
"ZZIIIIIIII",
"ZIIZIIIIII",
"IIZZIIIIII",
"ZIZIIIIIII",
"IZIIIIIZII",
"IIIZIIIZII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIIIZI",
"IZIIIIIIII",
"IIIZIIIIII",
"ZIIIIIIIII"... | [
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-2,
0.5,
-2,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970309 | [
0.5331529071526973,
1.600331466534483,
1.746019848652486,
1.5523158190483044,
1.5913059170604011,
1.6678227809613997,
0.9430786997880802,
-1.150397691367437,
0.4403470714412182,
0.6565490133659476,
-1.960264392076775,
1.0904811667702412,
-1.2457059423031067,
1.6718008556399764,
0.2986376... | {
"n_parameters": 58,
"n_qubits": 10,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 427 |
-1049914376036192018 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4, 5, 6], [3, 6], [0, 2, 3, 4, 5, 7], [0, 1, 4, 6, 7]]} | {"states": [163, 167], "expectation_value": -1.0438042705487873, "params": null, "bitstrings": ["01011100", "01011000"], "total_optimization_steps": 59, "probabilities": [0.13169106202583297, 0.42695712852876183], "optimization_time": 91.98484396934509} | 0.16666666666666669 * (Z(0) @ Z(4)) + 0.11666666666666667 * (Z(5) @ Z(4)) + 0.11666666666666667 * (Z(5) @ Z(0)) + 0.13333333333333333 * (Z(6) @ Z(4)) + 0.13333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.03333333333333333 * (Z(3) @ Z(4)) + 0.03333333333333333 * (Z(3) @ Z(0)) + 0.03333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.1500000000000001, -1.1500000000000001, -1.1500000000000001, -1.1500000000000001], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.15, "smallest_bitstrings": ["00011000", "11010000", "10010000", "01011000"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.5507973682425773) q[0];
h q[1];
ry(-0.11830394518926735) q[1];
ry(-2.2988336169200605) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.5445342694940782) q[3];
h q[4];
ry(-0.33345320094465075) q[4];
h q[5];
cx q[5], q[4];
ry(0.33345320094465075) q[4];
cx q[5], q[4];
ry(-0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.1782) 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[... | [
"IIIZIIIZ",
"IIZZIIII",
"IIZIIIIZ",
"IZIZIIII",
"IZIIIIIZ",
"IZZIIIII",
"IIIZZIII",
"IIIIZIIZ",
"IIZIZIII",
"IZIIZIII",
"IIIZIZII",
"IIIIIZIZ",
"IIZIIZII",
"IIIIZZII",
"ZIIZIIII",
"ZIIIIIIZ",
"ZIZIIIII",
"ZZIIIIII",
"ZIIIZIII",
"ZIIIIZII",
"IIIZIIZI",
"IIIIIIZZ",
"IZIIIIZ... | [
0.16666666666666669,
0.11666666666666667,
0.11666666666666667,
0.13333333333333333,
0.13333333333333333,
0.08333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.5,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.08333333... | 0.97024 | [
1.5507973682425773,
-1.0890685389881565,
1.0059854901079475,
-0.5757330345169821,
0.5782543849453571,
-0.29618605808308324,
0.7678792350460141,
0.5196654961578916,
-0.0871667271939468,
0.07480925265046678,
-0.6669064018893015,
0.1567722036903792,
0.5092674665860856,
0.4375396470781566,
0... | {
"n_parameters": 55,
"n_qubits": 8,
"optimal_eigenvalue": -1.1500000000000001,
"target_ratio": 0.97,
"target_value": -1.1155000000000002
} | 17 |
1e2e363d3026b2b0adfe60243d0e67d7 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [2897, 2641], "expectation_value": -61.122253299614115, "params": [1.0090000000000001, -0.001, -0.0224, 0.6855, 1.0079, 0.0362, 0.7897000000000001, 0.2398, -0.0032, 0.5640000000000001, 1.0, 0.1841, 0.622, 0.2873, 0.9989, 0.169, 0.0034000000000000002, -0.5732, 0.7431, 0.1272, 0.006900000000000001, -0.0001, 1.... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(2) @ Z(3)) + 8.0 * (Z(5) @ Z(3)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(7) @ Z(0)) + 8.0 * (Z(6) @ Z(7)) + 8.0 * (Z(8) @ Z(2)) + 8.0 * (Z(9) @ Z(0)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(11) @ Z(6)) + -5.0 * Z(1) + 14.0 * Z(0) + 3.0 * Z(3) + 10.0 * Z(2) + 7.0 * Z(5) + -5.5 * Z(4) + 15.0 * Z(7) + 0.5... | 16 | 12 | 2 | {"smallest_eigenvalues": [-135.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -118.0, "smallest_bitstrings": ["010110101110"], "largest_eigenvalue": 128.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.474172886235424) q[0];
rz(0.42215130222833297) q[0];
rx(0.2813138287897202) q[1];
rz(0.5501467199981654) q[1];
cx q[1], q[0];
rz(-0.36822906922787263) q[0];
cx q[1], q[0];
rx(1.861735780736936) q[0];
rz(0.4324726385805575) q[0];
rz(0.22413283812889637) q[1];
rx(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIZIIIIIIZ",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIZIIIIIIIIZ",
"IIZIZIIIIIII",
"ZIIIIZIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIZIII",
"IIIIIIIIIZII",
"IIIIIIZIIIII",
"IIIIIIIZIIII",
"IIIIZIIIIIII",
"IIIIIZIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
-5,
14,
3,
10,
7,
-5.5,
15,
0.5,
-6.5,
2,
1,
-12.5
] | 0.972029 | [
1.4741728862354244,
0.05392223300046042,
0.2813138287897202,
0.5501467199981654,
1.5231582875153413,
0.3024691162812203,
0.17869511469495414,
0.13873491319947254,
-0.05280395234537337,
0.7918228474059906,
1.960124269710901,
0.36129431725432376,
-0.48673534185721506,
0.2971585941256855,
1... | {
"n_parameters": 66,
"n_qubits": 12,
"optimal_eigenvalue": -135,
"target_ratio": 0.97,
"target_value": -130.95
} | 21 |
f2268dbc2cd9e9d8be6517cd34bc9399 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 3}]} | {"states": [230, 239], "expectation_value": -24.24736504694284, "params": null, "bitstrings": ["00011001", "00010000"], "total_optimization_steps": 80, "probabilities": [0.043382921721551566, 0.8506151438784146], "optimization_time": 106.982825756073} | 0.5 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + 1.5 * (Z(7) @ Z(5)) + 1.5 * (Z(7) @ Z(4)) + 3.0 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + 1.0 * (Z(2) @ Z(4)) + 0.8333333333333334 * (Z(2) @ Z(0)) + 1.6666666666666667 * (Z(2) @ Z(1)) + 3.5 * Z(5) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-26.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.000000000000004, "smallest_bitstrings": ["00010000"], "largest_eigenvalue": 54.83333333333333} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08466080018590566) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.4712491131715458) q[1];
cx q[2], q[1];
rz(0.6656506840572414) q[2];
rx(1.5126955950453878) q[2];
h q[3];
cx q[0], q[3];
rz(-0.04495793256312783) q[3];
cx q[0], q[3];
... | null | {"source": 0, "sink": 3} | {"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(-5.3058) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIZZIIII",
"IZZIIIII",
"IZIZIIII",
"ZIZIIIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIZIIIZ",
"IIIZIIZI",
"IIIIIIZZ",
"IIIZIZII",
"IIIIIZIZ",
"IIIIIZZI",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII"
] | [
0.5,
1,
1,
1.5,
1.5,
3,
0.5,
1,
0.8333333333333334,
1,
0.8333333333333334,
1.6666666666666667,
3.5,
6.5,
7,
10.5,
2.5833333333333335,
5.166666666666667,
5.166666666666667,
-0.08333333333333333
] | 0.564109 | [
0.08466080018590566,
-0.04495793256312783,
0.4712491131715458,
0.6656506840572409,
-1.5403474266364232,
-1.5490134012367487,
1.5126955950453878
] | {
"n_parameters": 7,
"n_qubits": 4,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 191 |
c0f858c9bf8a5ca6f1ec5eb7b79e6f0c | 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": 10}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target"... | {"states": [0, 1023], "expectation_value": -6.334967200687199, "params": [[[-0.0112, 0.0031000000000000003], [-0.0, 0.7132000000000001], [-0.0017000000000000001, 0.0029000000000000002], [0.0028, 0.0021000000000000003], [0.0027, -0.0023], [0.0023, 0.002], [0.0023, 0.002], [0.0027, -0.002], [-0.0026000000000000003, 0.002... | 0.25 * (Z(0) @ Z(2)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(4)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(10) @ Z(4)) + -0.5 * (Z(10) @ Z(7)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(9) @ Z(6)) + -0.25 * (Z(9) @... | 15 | 11 | 3 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000000", "10000000100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.04767454718384913) q[0];
ry(-0.005583630039901082) q[1];
ry(-0.19968932102712803) q[2];
ry(0.1667470360502149) q[3];
ry(-0.008288979256233925) q[4];
ry(0.003973817756053849) q[5];
ry(0.07299461713965097) q[6];
ry(0.005034993099571117) q[7];
ry(0.006125282041523527... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIZIIIIZI",
"IIIIIIZIIZI",
"IIIIIIZZIII",
"IIIZIIIIIZI",
"IIIZIIZIIII",
"IIZIIIZIIII",
"ZIIIIIZIIII",
"ZIIZIIIIIII",
"IIIIIZIIZII",
"IIIIZZIIIII",
"IIIIIZZIIII",
"IZIIZIIIIII",
"IZIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIIIIIZ",
"IIIIZIIIIII",
"IIIIIIIIIZI",
"IIIIIIZII... | [
0.25,
-1,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.75,
-0.25,
0,
-0.25,
0.25,
-0.75,
0.25,
0.25,
0.25,
-0.25,
-0.5,
0.25,
0.5
] | 0.973782 | [
0.04767454718384913,
-0.005583630039901082,
-0.19968932102712803,
0.1667470360502149,
-0.008288979256233925,
0.003973817756053849,
0.07299461713965097,
0.005034993099571117,
0.006125282041523527,
-0.021130769025702892,
2.831738541557356,
0.7376241034465203,
0.010646014857902262,
0.00935840... | {
"n_parameters": 29,
"n_qubits": 11,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 62 |
a8abb858362d50c1151bb654b1400ed6 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 12, "source": 0, "target": 3}, {"weight": 18, "sourc... | {"states": [392, 393], "expectation_value": -43.77740888096533, "params": [[[1.5770000000000002, -0.0023], [1.5735000000000001, -0.0024000000000000002], [0.3927, 0.6511], [0.0031000000000000003, -0.8714000000000001], [0.0026000000000000003, -1.3174000000000001], [1.5736, 0.0026000000000000003], [-0.0027, 1.3625], [-0.0... | 5.0 * (Z(0) @ Z(3)) + 5.0 * (Z(1) @ Z(3)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(5) @ Z(0)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(2)) + 1.0 * Z(3) +... | 1 | 9 | 2 | {"smallest_eigenvalues": [-50.0, -50.0, -50.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -48.0, "smallest_bitstrings": ["010010011", "001110110", "001101110"], "largest_eigenvalue": 72.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-1.492736096442238) q[0];
ry(3.0254668112905203) q[0];
rz(1.457008574702682) q[0];
rz(1.477806669379893) q[1];
ry(2.9968960192158445) q[1];
rz(-1.6320257685575053) q[1];
rz(2.354248516528031) q[2];
ry(0.2827136336902223) q[2];
rz(-1.5246820119289222) q[2];
rz(0.73251... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IZIZIIIII",
"ZIIIIZIII",
"ZIIIIIZII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
1,
14,
4,
1.5,
-3.5,
-3.5,
-3,
-6,
-4.5
] | 0.979966 | [
1.3608673568997418,
-0.009536751831952288,
1.4470367240042536,
-0.013392236180149189,
0.03897195317438662,
0.8881256025563541,
0.00020239211415728695,
-0.8431252657002497,
-0.1050002539016732,
-1.0116837348119174,
1.6049111474912316,
0.07260683018059125,
1.6309506577386552,
2.1131489492340... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -50,
"target_ratio": 0.97,
"target_value": -48.5
} | 12 |
840201519441692596 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2], [1, 7], [0, 6], [2, 6], [4, 6], [2, 4], [5, 7], [2, 5], [5, 6], [4, 7], [1, 3]]} | {"states": [51, 204], "expectation_value": -0.006811141811973828, "params": [[-0.022500000000000003], [0.013800000000000002]], "bitstrings": ["11001100", "00110011"], "total_optimization_steps": 10, "probabilities": [0.0039499622472840045, 0.0039499622472840045], "optimization_time": 0.6068835258483887} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4) + ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["11001100", "00110011"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.5922902762429736) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(-0.5922902762429736) q[6];
cx q[2], q[6];
cx q[0], q[6];
cx q[2], q[4];
rz(-0.5922902762429736) q[4];
cx q[2], q[4];
cx q[2], q[5];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[7], q[1];
rz(x0) q[1];
cx q[7], q[1];
cx q[2], q[6];
rz(x0) q[6];
cx q[2], q[6];
cx q[0]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"ZIIIIIZI",
"IZIIIZII",
"IZIIIIIZ",
"IIIZIZII",
"ZIIZIIII",
"IZIZIIII",
"IIZIIZII",
"ZIZIIIII",
"IZZIIIII",
"IIIIZIZI",
"IIIIIZII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IZIIIIII",
"IIIZIIII",
"IIZIIIII",
"IIIIZIII"
] | [
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
] | 0.386615 | [
-0.5922902762429736,
-1.6822568827741427e-8,
0.6906879375464472
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 107 |
ec86dd03f1bc9f7a5980c14449900d15 | 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": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, ... | {"states": [9, 1], "expectation_value": -0.8607756064034524, "params": [[-0.0565, -0.0392, -0.0081, -0.024300000000000002], [0.0779, 0.0646, 0.0308, 0.027800000000000002]], "bitstrings": ["11110110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.00734119896911313, 0.007481488122412309], "optimization... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(2)) + -0.75 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(4) @ ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.75, "smallest_bitstrings": ["11110110", "11111110", "11111100", "11110100"], "largest_eigenvalue": 8.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.16999686101045597) q[0];
ry(-0.7461488452616151) q[1];
rz(-pi) q[1];
ry(-0.08098995602078439) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.8918758604400108) q[3];
h q[4];
h q[5];
ry(-0.6909274773558883) q[5];
h q[6];
ry(1.6029270172358627) q[6];
h q[7];
cx q[7], q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIIZ",
"IIIIIZZI",
"IIIIZZII",
"IIZIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZZIIIIII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IIIIIZII",
"ZIIIIIII",
"IZIIIIII",
"IIIZIIII"
] | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
1.75,
-0.25,
-0.25,
-0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
0.25,
0.75,
0.75,
0.25
] | 0.970267 | [
-0.33999372202091194,
1.3129654467744951,
1.6029270172358627,
-0.6590546223712845,
0.18968510787131154,
-0.5503415377524958,
-1.7837517208800215,
-1.3818549547117767,
-1.0868611186790245,
-0.44875350089838817,
-0.10942090189840499,
0.17912767502386534,
-0.8058905041901756,
-0.0868358831952... | {
"n_parameters": 19,
"n_qubits": 8,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 24 |
94b4685949b0232e6f45bdcd5b80e7ab | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [54, 58], "expectation_value": -4.999898992057627, "params": null, "bitstrings": ["1001001", "1000101"], "total_optimization_steps": 33, "probabilities": [1.634968701396955e-05, 0.9999303728259872], "optimization_time": 33.7964243888855} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(5) + -1.5 * Z(6) + 0.0 * Z(1) + -0.5 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000101"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.6003112138562008) q[0];
h q[1];
ry(1.5341979766004288) q[1];
ry(-3.0257311896122494) q[2];
rz(-pi) q[2];
cx q[1], q[2];
ry(-0.1006576401825402) q[2];
cx q[1], q[2];
ry(-0.00033704463714811367) q[1];
h q[3];
ry(1.3542772226348128) q[3];
ry(-0.07867566167356... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZIIZ",
"IZIIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"ZZIIIII",
"ZIIIIZI",
"IIZIZII",
"IIZZIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-0.5,
-0.5,
-1.5,
0,
-0.5
] | 0.996853 | [
-1.6003112138562008,
-1.5712307081150918,
-1.4349152172149955,
1.5341979766004288,
1.3542772226348128,
-0.11441089581268042,
0.2013152803650804,
0.18845931115321368,
-0.11702323405277497,
-0.0006740892742962273,
-0.06790808289822309,
-0.07867789271409684,
0.01138260793953559
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
5599bf10ca71927ac876cacb8b12fa55 | 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": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [11002, 12026], "expectation_value": -2.9444381473914616, "params": [[1.3133000000000001, 0.0245, 1.3033000000000001, 0.31370000000000003, 1.3431, -0.153, 1.3998000000000002, 0.9327000000000001, 1.2559, 1.3960000000000001, 1.3895, 0.7769, 0.5919, 0.1505], [0.7468, -0.1077, 0.9031, 0.0772, 0.7097, 0.0099, 0.4... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (... | 10 | 14 | 2 | {"smallest_eigenvalues": [-4.218749999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.218749999999996, "smallest_bitstrings": ["01000100000101"], "largest_eigenvalue": 5.781250000000003} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.07415269114269459) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.07415269114269459) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.07415269114269459) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.07415269114269459) q[3];
cx q[0], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZZ",
"IIIIIIIIIIIZIZ",
"IIIIIIIIIIZIIZ",
"IIIIIIIIIIIZZI",
"IIIIIIIIIIZIZI",
"IIIIIIIIIIZZII",
"IIIIIIIIIIIZZZ",
"IIIIIIIIIIZIZZ",
"IIIIIIIIIIZZIZ",
"IIIIIIIIIIZZZI",
"IIIIIIIIIIZZZZ",
"IIIIIIIIIZIIIZ",
"IIIIIIIIZIIIIZ",
"IIIIIIIZIIIIIZ",
"IIIIIIZIIIIIIZ",
"IIIIIIIIZZIIII"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0... | 0.864887 | [
0.07415269114269459,
-1.68604805643772,
-1.8099461218403394,
1.443016048934571,
-1.494512272491701,
1.4645976572003123,
1.0927469485153785,
-0.47320607514433677,
-0.9787306474297965,
-0.2023439996070792,
-0.827568241380443,
-1.2321072303008926,
-0.5239782363821548,
-2.223436606296981,
0.... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 500 |
2ee51013acda191f703ffb893493c226 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capac... | {"states": [1, 3], "expectation_value": -8.902769592581453, "params": null, "bitstrings": ["1111111110", "1111111100"], "total_optimization_steps": 38, "probabilities": [0.2776203998728034, 0.31021297815234106], "optimization_time": 57.49179005622864} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(4)) + -1.0 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(7)) + -0.75 * (Z(3... | 1 | 10 | 1 | {"smallest_eigenvalues": [-9.25, -9.25, -9.25, -9.25, -9.25, -9.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111111110", "1110101110", "1111111100", "1111101100", "1110101100", "1111101110"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.09629260297793997) q[0];
rz(1.8517256343602853) q[0];
rx(0.09906788189421842) q[1];
rz(1.9451869590620134) q[1];
rx(0.02892545239069943) q[2];
rz(2.003018469614699) q[2];
rx(-0.0073791440975656064) q[3];
rz(1.783977364738032) q[3];
rx(0.2559834990973146) q[4];
rz(... | null | {"source": 0, "sink": 9} | {"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];\nry(-1.5706) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5... | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIZIIIIIZI",
"IIZIIIIZII",
"IIZIIZIIII",
"IIIZIIIZII",
"IIIZIZIIII",
"IIZZIIIIII",
"IIIIIIZIZI",
"IIZIIIZIII",
"IIIZIIZIII",
"ZIIIIIIIIZ",
"ZIIIIIZIII",
"IIIZZIIIII",
"IIIIZIZIII",
"ZIIIZIIIII",
"IZIZIIIIII"... | [
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.5,
-0.25,
-0.5,
-1,
-0.5,
-0.75,
-0.25,
-0.75,
-0.75,
1.5,
-0.75,
-0.25,
-0.25,
-0.25,
-0.25,
0.25,
-0.25,
-0.75,
0.25,
-1.25,
0,
0.75,
0.5,
0.25,
0.25
] | 0.974729 | [
0.09629260297793998,
0.28092930756538914,
0.09906788189421842,
0.37439063226711644,
0.028925452390699435,
0.43222214281980254,
-0.007379144097565606,
0.2131810379431349,
0.25598349909731455,
0.03527527060500375,
0.11765190340959102,
-0.06688611200548515,
-0.006641195680597643,
0.2849079189... | {
"n_parameters": 128,
"n_qubits": 10,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 20 |
d3a1bd476861992c14dd2d5f2f135799 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 4},... | {"states": [2016, 2040], "expectation_value": -13.13837452458148, "params": null, "bitstrings": ["00000011111", "00000000111"], "total_optimization_steps": 100, "probabilities": [0.1379865590349988, 0.4241552016635839], "optimization_time": 249.01440620422363} | -2.0 * (Z(0) @ Z(3)) + 1.0 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + -3.0 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(5)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(4)) + -1.0 ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-20.5, -20.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -19.5, "smallest_bitstrings": ["00000000100", "00000000111"], "largest_eigenvalue": 24.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.061653998791970865) q[0];
ry(-0.04380083174058784) q[1];
ry(0.12966888366675272) q[2];
ry(0.07589315511862511) q[3];
ry(0.02392695689012511) q[4];
ry(0.007328513135225895) q[5];
ry(-0.18771133890736294) q[6];
ry(-0.02012338098625122) q[7];
ry(1.6149399796852715) ... | null | {"node": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[5], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[... | [
"IIIIIIIZIIZ",
"IIIIIZIZIII",
"IIIIIZIIIIZ",
"IIIIIIIZIZI",
"IIIIIZIIIZI",
"IIIIIIZZIII",
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIIIIZIIZI",
"IIIIIIIZZII",
"IIIIIIIIZIZ",
"IIIIIZIIZII",
"IIIIIIIIZZI",
"IIIIIIZIZII",
"IIIZZIIIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIZIII",
"IIIIIIIII... | [
-2,
1,
-2.5,
0.5,
0.5,
-3,
1,
-3,
-2.5,
0.5,
0.5,
-2,
0.5,
-2.5,
-1,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
1
] | 0.970283 | [
-0.061653998791970865,
-0.04380083174058784,
0.12966888366675272,
0.07589315511862511,
0.02392695689012511,
0.007328513135225895,
-0.18771133890736294,
-0.02012338098625122,
1.6149399796852715,
-0.04521286975655941,
3.2355913001368326,
-0.004986413971934795,
-0.013966818142928297,
0.035469... | {
"n_parameters": 18,
"n_qubits": 11,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 6 |
426409ac0dbb6ecbab55022764c98a00 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 7}, {"sour... | {"states": [281, 285], "expectation_value": -3.026672025795315, "params": [1.6118000000000001, 0.00030000000000000003, 0.0031000000000000003, 0.003, 0.4818, 0.0043, 0.4461, 0.0014, 1.6049, 0.0053, 1.6093000000000002, 0.0027, 1.6034000000000002, 0.0005, 0.5025000000000001, 0.00030000000000000003, 1.6056000000000001, 0.0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + -1.0 * Z(3) + 0.0 * Z(0) + -2.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(4) + -1.0 * Z(7) + 0.0 * Z(8) + 0.0 ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["011100100", "010110010", "011100010"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.7750116085206713) q[0];
rz(0.675863845396798) q[0];
rx(0.13754046479024418) q[1];
rz(-0.18818734790806735) q[1];
rx(-0.15585647849948236) q[2];
rz(0.3081913295146741) q[2];
rx(0.0722786080728062) q[3];
rz(-0.38776920866802067) q[3];
rx(2.8152503697247453) 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": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIIZZI",
"IIIIZIIZI",
"IIIIZIZII",
"IZIIIIIZI",
"IZIIIIZII",
"ZIIIIIIZI",
"IIIZIZIII",
"IZZIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIZIIIII",
"IIZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-2,
-1,
-0.5,
-1,
0,
0,
0
] | 0.974626 | [
2.7750116085206713,
0.4432052834200123,
0.13754046479024415,
0.03477988481538301,
-0.15585647849948236,
0.4584903244437679,
0.0722786080728062,
-0.4932649588653609,
2.8152503697247453,
-0.03638622302552308,
3.424363579555515,
0.04997680844228772,
3.2125105230800757,
-0.9919792403241191,
... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 14 |
58ab9b57bb5d3ba1983e43d3f29bec32 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 2, "target": 1}]} | {"states": [1, 3], "expectation_value": -4.124360376889934, "params": null, "bitstrings": ["1110", "1100"], "total_optimization_steps": 10, "probabilities": [0.4168911639926725, 0.42669893022981115], "optimization_time": 3.7604079246520996} | -0.75 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -1.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(3) + 1.0 * Z(2) | 1 | 4 | 4 | {"smallest_eigenvalues": [-4.75, -4.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["1110", "1100"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.13943302053146128) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.2546523334796689) q[2];
cx q[1], q[2];
rz(-0.7155720410694917) q[1];
rx(-1.7587368543198154) q[1];
rz(0.6317748164920753) q[2];
rx(-1.7587368543198154) q[2];
h q[3]... | null | {"source": 0, "sink": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IIZZ",
"ZIIZ",
"IZZI",
"IIZI",
"IIIZ",
"ZIII",
"IZII"
] | [
-0.75,
1,
-1,
-1.75,
-0.25,
1,
1
] | 0.974967 | [
-0.13943302053146128,
0.6317748164920755,
-0.2546523334796689,
-0.7155720410694918,
-0.8847263429635749,
-1.7587368543198154,
-0.39840533455052923,
0.9596950419953695,
-0.3894973625686309,
-1.5007620154927859,
-0.8383337619275093,
-0.8965996704617766
] | {
"n_parameters": 12,
"n_qubits": 4,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 48 |
-2116175538027065673 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 2, 3, 6], [1, 9], [0, 2, 4, 6, 7, 9], [1, 3, 4, 5, 7, 8], [1, 2, 3, 4], [0, 1, 2, 5, 6, 7], [9, 3, 7], [0, 1, 3, 5, 6, 7], [8, 1, 6], [8, 9, 6], [0, 1, 4, 5], [4, 5, 6, 7], [8, 0, 4, 5], [0, 2, 3, 5, 7]]} | {"states": [1006, 878], "expectation_value": -3.0070078310759323, "params": [1.5754000000000001, 0.1767, 1.411, 0.0039000000000000003, 1.3932, 0.0429, 1.3361, 0.0043, 1.0943, 0.38380000000000003, 0.8703000000000001, 0.0013000000000000002, 1.5917000000000001, 0.1626, 1.4283000000000001, 0.0054, 1.5845, 0.1776, 1.4603000... | 0.19999999999999998 * (Z(1) @ Z(2)) + 0.21666666666666667 * (Z(3) @ Z(2)) + 0.23333333333333334 * (Z(3) @ Z(1)) + 0.15 * (Z(6) @ Z(2)) + 0.31666666666666665 * (Z(6) @ Z(1)) + 0.11666666666666667 * (Z(6) @ Z(3)) + 0.03333333333333333 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(1)) + 0.16666666666666666 * (Z(9) @ Z(3)) + 0.1999999... | 5 | 10 | 1 | {"smallest_eigenvalues": [-3.35], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.3, "smallest_bitstrings": ["0010010001"], "largest_eigenvalue": 13.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.7020611098549159) q[0];
rz(0.12930465427297833) q[0];
rx(1.4044913183880998) q[1];
rz(0.2315919974919849) q[1];
rx(0.6257574414302829) q[2];
rz(1.0644035115397656) q[2];
rx(1.6633997259668938) q[3];
rz(0.6976398205481038) q[3];
rx(1.8708392138834582) q[4];
rz(0.35... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIZIIIZII",
"IIIZIIIIZI",
"IIIZIIZIII",
"ZIIIIIIZII",
"ZIIIIIIIZI",
"ZIIIIIZIII",
"ZIIZIIIIII",
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIIZIIZ",
"IIIZIIIIIZ",
"ZIIIIIIIIZ",
"IIIIIZIZII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIZIZIIII",
"ZIIIIZIIII"... | [
0.19999999999999998,
0.21666666666666667,
0.23333333333333334,
0.15,
0.31666666666666665,
0.11666666666666667,
0.03333333333333333,
0.5,
0.16666666666666666,
0.19999999999999998,
0.11666666666666667,
0.15,
0.08333333333333334,
0.1,
0.03333333333333333,
0.11666666666666667,
0.2,
0.1... | 0.972395 | [
1.702061109854916,
0.11688474725688577,
1.4044913183880996,
0.21231712035407543,
0.6257574414302829,
0.8374346217661697,
1.6633997259668938,
0.7185514724467317,
1.870839213883458,
0.3426795834033657,
0.46314015074459647,
-1.088373955006182,
1.6937453158136266,
0.3697747821557242,
1.86414... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -3.35,
"target_ratio": 0.97,
"target_value": -3.2495
} | 46 |
64eae7c41dfa3290e7cb58a32391f057 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [92, 124], "expectation_value": -0.06570846853035456, "params": [[0.0478], [-0.042300000000000004]], "bitstrings": ["0100011", "0000011"], "total_optimization_steps": 10, "probabilities": [0.008219787745564118, 0.00834329460367686], "optimization_time": 1.2446026802062988} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * Z(5) + -0.5 * Z(0) + -0.5 * Z(6) + 0.0 * Z(1) + 0.0 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0000011"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-1.7142267882264043e-08) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(-1.7142267882264043e-08) q[1];
cx q[5], q[1];
rz(1.5707963949014605) q[1];
rx(-1.5707963527915116) q[1];
cx q[5], q[2];
rz(-1.71422678822640... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[0], q[6];
rz(x0) q[6];
cx q[0], q[6];
cx q[5], q[1];
rz(... | null | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IZIIZII",
"IZIZIII",
"ZIIZIII",
"IZZIIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-0.5,
0,
0,
-0.5,
0
] | 0.7125 | [
-1.7142267882264043e-8,
-1.5707963292115212,
-0.2526802727725982,
1.5707963949014605,
-1.5707963527915116
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 167 |
fb6267fe9e00f958431b621d7db08da1 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [63, 1], "expectation_value": -0.413741076636501, "params": [[0.0227, 0.0466, 0.0699, 0.0814], [0.001, -0.0175, -0.0422, -0.0632]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.01320073085860466, 0.014422378062842267], "optimization_time": 5.503614902496338} | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + 0.5 * Z(6) + -1.0 * Z(1) + 0.0 * Z(2) + 0.25 * Z(3) + 0.... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.8256979864230616) q[0];
ry(-0.06047270206602687) q[1];
rz(-pi) q[1];
ry(-0.014969240940445772) q[2];
rz(-pi) q[2];
h q[3];
rz(-pi) q[4];
ry(-0.03264831394078908) q[4];
h q[5];
ry(0.38986338903582735) q[5];
cx q[3], q[5];
ry(-0.38986338903582735) q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IIIIZZI",
"IZIZIII",
"IIIZIZI",
"IIIZZII",
"IZZIIII",
"IIZIIZI",
"IIZZIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
0.5,
-0.25,
-0.25,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
0.25,
-0.25,
0.5,
-1,
0,
0.25,
0.25
] | 0.9716 | [
-1.4905875067940901,
1.6866535584938058,
-1.6513959728461232,
0.7797267780716547,
-0.9916435268869962,
-1.0342852189492289,
-1.045626493862757,
-1.5904426894702208,
-0.4859469214319778,
-1.4056839420523877,
-0.3002862876041261,
0.19491589361314454,
-0.12374949131886509,
-0.0260039025309298... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 4 |
3b4195810bf2a6f7a0a91b99109270dd | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 4}, {"weight": 12, "source": 1, "target": 4}, {"weight": 2, "source": 2, "target": 3}, {"... | {"states": [238, 110], "expectation_value": -27.07569327607922, "params": [[-0.0269, -0.0007, -0.0051], [0.0522, 0.0478, 0.057]], "bitstrings": ["00010001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.010815041575573541, 0.013389812273906506], "optimization_time": 6.911955118179321} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 185.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.1020153173383266) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.1020153173383266) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1020153173383266) q[2];
cx q[0], q[2];
rz(-0.3646141913977723) q[0];
rx(-0.16040213888355992) q[0];
h q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIZI",
"IIIZIZII",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IZIZIIII",
"IZIIZIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
21,
4.5,
18,
22.5,
5,
9.5,
21,
16
] | 0.972998 | [
-0.1020153173383266,
0.28237012894823954,
-0.3646141913977715,
0.4781777606967153,
0.1648516455853896,
-0.32378281246999085,
0.8072608291429014,
-0.37037856100101546,
-0.1604021388835599,
0.1078696860819991,
1.2637155184460778,
-0.08105797484333403,
0.4933282028096999,
1.4631829679049078,
... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -78.5,
"target_ratio": 0.97,
"target_value": -76.145
} | 43 |
f29f5d56e7c902f7d6d17be659087579 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [882, 626], "expectation_value": -104.76442680362274, "params": [-0.0029000000000000002, -0.0001, 0.49250000000000005, 0.49150000000000005, 0.2252, 0.2311, 0.07, 0.0516, 0.4953, 0.4922, 0.4852, 0.4812, 0.4716, 0.4655, 0.1469, 0.14100000000000001, 0.16140000000000002, 0.1665, 0.49860000000000004, 0.4920000000... | 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(5) @ Z(7)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(9) @ Z(2)) + 6.5 * (Z(9) @ Z(6)) + 6.5 * (Z(9) @ Z(8)) + 16.5 * Z(1) + 8.5 * Z(2) + -2.0 * ... | 14 | 11 | 3 | {"smallest_eigenvalues": [-127.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -110.0, "smallest_bitstrings": ["10110001101"], "largest_eigenvalue": 207.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.09997767635173188) q[0];
rz(pi/2) q[0];
ry(0.47518142877746977) q[1];
ry(0.018348663754541458) q[2];
ry(-0.0304937053958342) q[3];
ry(0.5974051943820123) q[4];
ry(0.537691107175054) q[5];
ry(0.5929000467803566) q[6];
ry(0.07763596978048691) q[7];
ry(-0.0689499201... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIZZIII",
"IIIIZIIIZII",
"IIIZIIZIIII",
"IIIZZIIIIII",
"IIIIIZIIIZI",
"IIIIZZIIIII",
"IIIZIZIIIII",
"IIZIIIIIIZI",
"IIZIIZIIIII",
"IZIIIIIIZII",
"IZIIZIIIIII",
"IZZIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIIZIIIII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
16.5,
8.5,
-2,
9.5,
21,
7,
19,
7,
14.5,
-10,
-11.5
] | 0.97337 | [
-0.09997767635173188,
0.47518142877746977,
0.018348663754541458,
-0.0304937053958342,
0.5974051943820123,
0.537691107175054,
0.5929000467803566,
0.07763596978048691,
-0.06894992016256066,
0.5294185156463631,
0.23635258104671697,
0.5042960916419509,
-0.012113554337247147,
0.0680901089038785... | {
"n_parameters": 125,
"n_qubits": 11,
"optimal_eigenvalue": -127,
"target_ratio": 0.97,
"target_value": -123.19
} | 18 |
8b9699e184b2dee4b86c87a62e9c7e5c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, ... | {"states": [127, 1], "expectation_value": -0.7333578364984963, "params": [[0.029, -0.055, -0.06420000000000001], [-0.0733, 0.038400000000000004, 0.0604]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.00658788949793692, 0.00690243604208653], "optimization_time": 5.631910562... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.25 * (Z(7) @ Z(1)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.0844300752616571) q[0];
rz(2.1139387912759435) q[0];
rx(-0.1498790866820462) q[1];
rz(2.0836137185059904) q[1];
rx(0.057079340349078155) q[2];
rz(1.904948933670651) q[2];
rx(0.06516424781021761) q[3];
rz(2.045016475467456) q[3];
rx(0.05617938885140029) q[4];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"IIIZIIZI",
"IIIZZIII",
"IIIIIZZI",
"IIIIZZII",
"IIIZIZII",
"IIZIIIZI",
"IIZIZIII",
"IZZIIIII",
"ZIZIIIII",
"IIZIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIII... | [
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-0.25,
1.5,
-0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
-0.25,
-1,
-2,
-0.25,
0.75,
0.75,
0.5,
-0.5,
0.25,
0.5
] | 0.977946 | [
-0.0844300752616571,
0.5431424644810464,
-0.1498790866820462,
0.5128173917110932,
0.05707934034907815,
0.3341526068757544,
0.06516424781021762,
0.4742201486725591,
0.0561793888514003,
0.30027713590591465,
-0.019864683485527335,
0.4609679127881336,
0.03382695698344525,
0.3864669591794765,
... | {
"n_parameters": 58,
"n_qubits": 8,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 4 |
bd450980ecb62a263062b6b855a443ea | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [31, 11], "expectation_value": -1.8380851907123161, "params": [[0.0631, 0.0699, 0.0636, 0.07300000000000001], [-0.0541, -0.0634, -0.0534, -0.062]], "bitstrings": ["1100000", "1110100"], "total_optimization_steps": 10, "probabilities": [0.02398295976759836, 0.024280445054904027], "optimization_time": 8.626332... | -1.0 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + -0.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(5) + -0.25 * Z(3) + -0.5 * Z(4) + 0.5 * Z(2) + 0.25 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["1110100", "1100100", "1100000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.8940808328512944) q[0];
h q[1];
ry(0.041756198791205276) q[1];
h q[2];
ry(-0.03032114105568228) q[2];
h q[3];
ry(0.4442013340719362) q[3];
h q[4];
h q[5];
ry(0.8884026681438724) q[5];
cx q[5], q[1];
ry(-0.041756198791205276) q[1];
cx q[5], q[1];
ry(-0.8557... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IZIIIIZ",
"IIIZIZI",
"IZIZIII",
"IIZIIZI",
"IZZIIII",
"IIZIZII",
"ZIIIIIZ",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIZIIII",
"IIIIZII",
"ZIIIIII"
] | [
-1,
-0.25,
-0.5,
-1,
-0.25,
-0.25,
-0.5,
1.5,
-1.25,
-0.75,
-0.25,
1,
-0.25,
-0.5,
0.5,
0.25
] | 0.971173 | [
0.8884026681438724,
1.622467847555487,
-1.7881616657025887,
0.08351239758241055,
-0.1298063569670014,
0.48401841381661614,
-0.06064228211136456,
0.4944845920735319,
-0.5239031451717074,
-0.8974703140323975,
-1.005223191000236,
0.8108085797164076,
1.648602767536483,
0.2412183790864333,
0.... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 83 |
fb354d60453679d679afcbc2ef259e36 | community_detection | qaoa | {"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": 1, "target": 3}, {"weight": 1, "source": 1, "target": 4}, {"weight": 1, "... | {"states": [2453, 1642], "expectation_value": -0.002060265151215229, "params": [[0.0263], [-0.0262]], "bitstrings": ["011001101010", "100110010101"], "total_optimization_steps": 10, "probabilities": [0.00024617391500703447, 0.0002461739150070345], "optimization_time": 6.6491312980651855} | 0.25 * (Z(0) @ Z(1)) + -0.0009765625 * (Z(2) @ Z(0)) + -0.0009765625 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0011718750000000002 * (Z(4) @ Z(0)) + 0.0005859375000000001 * (Z(4) @ Z(2)) + -0.0011718750000000002 * (Z(5) @ Z(1)) + 0.0005859375000000001 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0005859375000000001 * (... | 1 | 12 | 1 | {"smallest_eigenvalues": [-1.5107421875000009, -1.5107421875000009], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5103515625000004, "smallest_bitstrings": ["100110010101", "011001101010"], "largest_eigenvalue": 1.5169921875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.771457845796399) q[0];
rz(0.20583293908457456) q[0];
rx(0.9226641717609871) q[1];
rz(0.16372671104574926) q[1];
cx q[1], q[0];
rz(-0.04382293817596074) q[0];
cx q[1], q[0];
rx(0.7533216915569005) q[0];
rz(0.05206125349230284) q[0];
rz(0.06315738960408568) q[1];
rx(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x1) q[2];
cx q[0], ... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.0009765625,
-0.0009765625,
0.25,
-0.0011718750000000002,
0.0005859375000000001,
-0.0011718750000000002,
0.0005859375000000001,
0.25,
0.0005859375000000001,
-0.0006835937500000001,
0.0005859375000000001,
0.0005859375000000001,
-0.0006835937500000001,
0.0005859375000000001,
0.25... | 0.97422 | [
0.7714578457963991,
0.16201000090861373,
0.9226641717609871,
0.16372671104574926,
1.1584520372173939,
-0.006876482614402969,
0.0444164020346387,
0.25393271130854,
-0.047803904028318286,
-0.03324698493440209,
-0.03689418107124742,
0.10406937110530717,
0.643156446848987,
0.15964110472260815,... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 13 |
-4319918290322137079 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1], [0, 5], [3, 5], [1, 3], [1, 2], [0, 3], [3, 4]]} | {"states": [19, 44], "expectation_value": -0.053983979483765196, "params": [[-0.055], [0.0716]], "bitstrings": ["101100", "010011"], "total_optimization_steps": 10, "probabilities": [0.016860782298591327, 0.016860782298591327], "optimization_time": 2.673506498336792} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["101100", "010011"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.6223617446989139) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.6223617446989139) q[3];
cx q[1], q[3];
cx q[1], q[2];
rz(-0.6223617446989139) q[2];
cx q[1], q[2];
rz(7.964131576443378e-09) q[1];
rx(0.6751411476995482) q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"ZIIIIZ",
"IIZIZI",
"IIZIIZ",
"ZIZIII",
"IIIZZI",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IIZIII",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.454216 | [
-0.6223617446989139,
7.964131533884135e-9,
0.6751411476995484
] | {
"n_parameters": 3,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 103 |
29e92acfe2c6a58b3d167fffb8d12193 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [255, 127], "expectation_value": -2.7273393794928653, "params": [[0.07100000000000001], [-0.0597]], "bitstrings": ["11100000000", "11110000000"], "total_optimization_steps": 10, "probabilities": [0.0009269163531985189, 0.0009465850639503305], "optimization_time": 4.089720964431763} | -2.5 * (Z(0) @ Z(2)) + -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -3.0 * (Z(4) @ Z(6)) + 1.0 * (Z(7) @ Z(6)) + -3.5 * (Z(7) @ Z(4)) + 0.5 * (Z(9) @ Z(6)) + -3.0 * (Z(9) @ Z(4)) + 1.0 * (Z(9) @ Z(7)) + 0.5 * (Z(10) @ Z(6)) + -2.5 * (Z(10) @ Z(4)) + -2.... | 1 | 11 | 1 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.5, "smallest_bitstrings": ["11110000000"], "largest_eigenvalue": 34.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.08244388558669963) q[0];
ry(-0.1601827065088846) q[1];
ry(0.11173080988857213) q[2];
ry(0.38908038993767613) q[3];
ry(-0.009645283552467937) q[4];
ry(-0.15781380011622673) q[5];
ry(-0.023559564609343678) q[6];
ry(-0.04570027264505146) q[7];
ry(-0.0313236215312149... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[2], ... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIIZIIZ",
"IIIIIIIZIZI",
"IIIIZIZIIII",
"IIIZZIIIIII",
"IIIZIIZIIII",
"IZIIZIIIIII",
"IZIIIIZIIII",
"IZIZIIIIIII",
"ZIIIZIIIIII",
"ZIIIIIZIIII",
"ZIIZIIIIIII",
"ZZIIIIIIIII",
"IIIIIZZIIII",
"IIIZIZIIIII",
"IZIIIZIII... | [
-2.5,
-2.5,
1,
-2.5,
0.5,
0.5,
-3,
1,
-3.5,
0.5,
-3,
1,
0.5,
-2.5,
-2.5,
0.5,
1,
-3,
-2,
0.5,
-2,
1,
-3,
0.5,
0.5,
-2,
-1.5,
-1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.97133 | [
-0.08244388558669963,
-0.1601827065088846,
0.11173080988857213,
0.38908038993767613,
-0.009645283552467937,
-0.15781380011622673,
-0.023559564609343678,
-0.04570027264505146,
-0.03132362153121496,
2.843342494254385,
0.05549972818456535,
0.09581477203575835,
-0.06005585272777619,
-0.3597613... | {
"n_parameters": 20,
"n_qubits": 11,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 17 |
b86265187bfb2c2bd15ec1f4006924d5 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 1, "s... | {"states": [113, 119], "expectation_value": -7.99457701930524, "params": null, "bitstrings": ["110001110", "110001000"], "total_optimization_steps": 63, "probabilities": [0.15149354878377355, 0.4520958476026159], "optimization_time": 102.63127708435059} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(0)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + 2.0 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(5)) + -0.5 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(4)) + -0.75 * (Z(7) @ Z(3)) + -1.25 * (Z(6) @ Z(7)) + 0.5 * Z(2) + -0... | 1 | 9 | 1 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["110001000", "100001000"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(3.685059401018232e-05) q[0];
h q[1];
ry(-1.5708155462904343) q[1];
h q[2];
ry(0.9018705010001372) q[2];
h q[3];
ry(0.7853862989358963) q[3];
h q[4];
cx q[4], q[3];
ry(-0.7853862989358963) q[3];
cx q[4], q[3];
ry(0.6154780182089798) q[4];
cx q[3], q[4];
ry(-0.... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.57) q[8], 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[... | [
"IIIIIIZIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZZIII",
"IIIIZIIZI",
"ZIIIIIIIZ",
"ZIIZIIIII",
"ZIIIIZIII",
"ZIIIZIIII",
"IZIIIZIII",
"IZZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIZIIII",
"ZIIIIIIII",
"IZIIIIIII",
"... | [
-0.5,
-0.25,
-1.25,
-0.75,
-0.5,
-1,
-0.5,
2,
-0.75,
-0.5,
-0.75,
-0.75,
-1.25,
0.5,
-0.25,
-0.75,
0.5,
-1,
0.25,
0,
0.5,
0.25
] | 0.865385 | [
0.00007370118802036464,
1.5707072515823253,
-1.5708155462904343,
-1.1688358836808752,
-1.570828949867654,
1.5707910455009648,
1.2309592359001011,
1.5707725978717926,
1.2309560364179597,
-0.08934536690285415,
1.8037410020002744,
0.8665372509893933,
0.08932064453762892,
-0.31759351157133014,... | {
"n_parameters": 29,
"n_qubits": 9,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 500 |
f57a2cc2fc3eb57350bac5c17eb9c9f4 | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [457, 329], "expectation_value": -5.529542937276558, "params": [0.8101, 0.0016, 0.8063, 0.009600000000000001, 0.7891, 0.0025, 0.7811, 0.0095, 0.8029000000000001, -0.0022, 0.8049000000000001, 0.0061, -0.0028, 0.4077, -0.003, 0.0056, 0.0089, 0.45530000000000004, 0.009600000000000001, 0.0098, 0.798, 0.2585, 0.7... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) ... | 7 | 9 | 1 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["010110110", "000111110"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.6508389156589638) q[0];
rz(-0.13935025561124537) q[0];
rx(1.585191111083052) q[1];
rz(0.14489609267660164) q[1];
cx q[1], q[0];
rz(0.2544291378452841) q[0];
cx q[1], q[0];
rx(1.7886382005033301) q[0];
rz(0.44934612177041794) q[0];
rx(1.1045337326962341) q[1];
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": []} | [
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIZZIIII",
"IIIZIIIZI",
"IIZIIZIII",
"IIZIZIIII",
"IIZIIIIZI",
"IIZIIIZII",
"IZIIIZIII",
"IZZIIIIII",
"IZIIIIZII",
"ZIIIIZIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIIIZI",
"IIIZIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
-1.5,
-0.5,
-2.5,
-0.5,
-1.5,
-1
] | 0.97078 | [
1.650838915658964,
0.11507888223403868,
1.585191111083052,
0.14489609267660164,
1.8392570968639175,
-0.09975271715012628,
0.2335379991922493,
0.5809610265930532,
-0.41638751948792474,
0.255192077370585,
-0.11187494914987792,
0.21613452299634733,
0.10531002353721877,
0.007040057391239418,
... | {
"n_parameters": 41,
"n_qubits": 9,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 22 |
75e38f85452ebc08ee898a0ac8b18be5 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target"... | {"states": [18, 5], "expectation_value": -0.7225343761387522, "params": [[0.0714, 0.06620000000000001], [-0.07980000000000001, -0.07200000000000001]], "bitstrings": ["01101", "11010"], "total_optimization_steps": 10, "probabilities": [0.0379089011271241, 0.042759593311203326], "optimization_time": 2.82653546333313} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(3) + -1.0 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["11010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-1.5895904143898432) q[0];
ry(-0.061831462572773416) q[1];
rz(-pi) q[1];
ry(-3.1211665634162276) q[2];
rz(-pi) q[2];
ry(-0.05067198498523348) q[3];
rz(-pi) q[3];
h q[4];
ry(1.4339466124722804) q[4];
cx q[4], q[3];
ry(0.12544642904227837) q[3];
cx q[4], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1,
-1.5,
-1
] | 0.997795 | [
-1.5895904143898432,
-1.4880487849715875,
-1.3946779127673847,
1.4339466124722804,
-0.25089285808455675,
0.23284724829810097,
0.08137959326879629,
-0.04183215850107143
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
8401557330810100664 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 5, 6, 7], [0, 3, 4, 7, 8], [1, 5], [1, 3, 4, 7, 8], [0, 3, 5], [0, 2, 4, 5, 7, 8], [8, 6], [0, 1, 2, 3, 4], [1, 2, 3, 4, 6], [3, 4, 6, 7], [1, 2, 3, 7, 8]]} | {"states": [121, 123], "expectation_value": -1.087391203607259, "params": [[-0.28290000000000004], [0.2773]], "bitstrings": ["110000110", "110000100"], "total_optimization_steps": 30, "probabilities": [0.005359307205641796, 0.005359839228699395], "optimization_time": 6.046939849853516} | 0.13333333333333336 * (Z(0) @ Z(2)) + 0.08333333333333334 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.1 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(5)) + 0.13333333333333336 * (Z(7) @ Z(2)) + 0.13333333333333333 * (Z(7) @ Z(0)) + 0.08333333333333334 * (Z(7) @ Z(5)) + 0.13333333333333333 * (Z(7) @ Z(6)) + 0... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.9499999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8833333333333333, "smallest_bitstrings": ["110000100"], "largest_eigenvalue": 10.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-1.0327362414279998e-05) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(2.1455872162807663e-05) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(3.3401508423890117e-07) q[5];
cx q[0], q[5];
h q[6];
cx q[2], q[6];
rz(8.8313... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"IIZZIIIII",
"IZIIIIZII",
"IZIIIIIIZ",
"IZIZIIIII",
"IZZIIIIII",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIZIZIII",
"IIZIIZIII",
"IZIIIZIII",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIZZIIII",
"IIZIZIIII",
"IZIIZIIII",
"IIIIZZIII",
"... | [
0.13333333333333336,
0.08333333333333334,
0.25,
0.1,
0.05,
0.05,
0.13333333333333336,
0.13333333333333333,
0.08333333333333334,
0.13333333333333333,
0.15000000000000002,
0.26666666666666666,
0.16666666666666666,
0.13333333333333333,
0.23333333333333334,
0.13333333333333336,
0.1333333... | 0.915254 | [
-0.000010327362414279998,
0.000021455872162807663,
3.3401508423890117e-7,
0.000008831393061910786,
-0.0000111831839497131,
0.000006473602656075435,
-0.00002332361023838391,
0.00003112593025012036,
-0.00000369238601757243,
-0.0000066904587807726945,
-0.00010627385318183103,
-3.1415008900796795,... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -2.9499999999999997,
"target_ratio": 0.97,
"target_value": -2.8614999999999995
} | 500 |
953796ca4b6137c6c134989cdf6bb9e5 | 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": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 6, "source": 2, ... | {"states": [254, 1], "expectation_value": -0.8906175346148079, "params": [[0.07440000000000001], [-0.0697]], "bitstrings": ["00000001", "11111110"], "total_optimization_steps": 10, "probabilities": [0.005597765273931667, 0.006205774723574136], "optimization_time": 1.9205148220062256} | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + -1.0 * (Z(1) @ Z(2)) + -2.0 * (Z(4) @ Z(6)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(2)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * Z(3) + -0.25 * Z(0) + -1.0 * Z(6) + 2.5 * Z(2) + -1.0 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.3483451487171722) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(-0.02778833924913412) q[2];
cx q[3], q[2];
cx q[2], q[1];
rz(-0.3483451487171722) q[1];
cx q[2], q[1];
rz(-0.34834514871717204) q[1];
rx(-1.5496356521799646) 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;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IZIIIIIZ",
"IIIIZZII",
"IIIIIZZI",
"IZIZIIII",
"IIIZIZII",
"IIZIZIII",
"IZZIIIII",
"IIZIIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-1,
-0.75,
-1.5,
-1,
-2,
-1.5,
-1,
-0.75,
-0.75,
2,
-0.75,
-0.5,
-0.25,
-1,
2.5,
-1,
-0.5,
-0.5,
1.25
] | 0.972046 | [
-0.3483451487171722,
-0.01952397966811929,
-0.02778833924913412,
-0.320011031661691,
0.18500737395646455,
-0.557023597019871,
-0.5413866637494237,
-0.9068040738231341,
0.708134931363403,
-1.5496356521799646,
-0.5760853995779249,
-0.12218594570022752,
-0.22892143467827025,
-0.61961605786585... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 121 |
7118366004389908815 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 8], [1, 3], [8, 1, 6], [2, 4, 7], [3, 6], [2, 4, 6], [0, 5], [8, 7], [5, 7], [8, 2, 6], [8, 2, 3]]} | {"states": [205, 454], "expectation_value": -3.8710820299423943, "params": null, "bitstrings": ["100110010", "000111001"], "total_optimization_steps": 59, "probabilities": [0.06251406409243195, 0.8027569528789271], "optimization_time": 110.91123962402344} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(2) @ Z(8)) + 0.16666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.500000000000001, "smallest_bitstrings": ["000111001"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.6906417537178866) q[0];
h q[1];
ry(1.473278976873066) q[1];
h q[2];
ry(1.5054051818670062) q[2];
h q[3];
ry(-0.6889451076208277) q[3];
cx q[1], q[3];
ry(0.6889451076208277) q[3];
cx q[1], q[3];
ry(-0.003685584293233686) q[3];
ry(0.017676626746125405) q[1];
... | 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(1.5298) 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] = m... | [
"IIIIIIIZZ",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"IIIIIZIZI",
"ZIIIIZIII",
"IIZIIIIZI",
"ZIZIIIIII",
"IIZIIZIII",
"ZIIIIIZII",
"IIIIIZZII",
"IIZIIIZII",
"IIZIZIIII",
"IIIIZIZII",
"ZZIIIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IIIZIIIIZ",
"IZIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"ZIIIIIIII",
"... | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0... | 0.97368 | [
1.5054051818670062,
1.473278976873066,
-1.3778902152416554,
1.3199825049537701,
-0.7485764422161391,
1.4593859886082803,
-1.5262695673463211,
1.3812835074357732,
-0.8291639028893178,
0.34417302756213164,
-0.917235577585682,
-0.3344233019823202,
0.03535325349225081,
-0.007371168586467372,
... | {
"n_parameters": 39,
"n_qubits": 9,
"optimal_eigenvalue": -4.166666666666666,
"target_ratio": 0.97,
"target_value": -4.041666666666666
} | 13 |
253d3995de007ce15800f0023018551d | 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": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2... | {"states": [15, 1], "expectation_value": -1.6192379024733936, "params": [[0.0601, 0.0492, 0.0732], [-0.054400000000000004, -0.0362, -0.0531]], "bitstrings": ["1110000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.015638713501479325, 0.0178393647089115], "optimization_time": 3.2966670989990234} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + 1.75 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.75 * Z(6) + 1.75 * Z(3) + 1.0 * Z(4) + -0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-10.5, -10.5, -10.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110", "1110000", "1110010"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.02121917373057882) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.7085683064572578) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.06024138352319858) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.06024138352319858) 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] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIIZ",
"IIIZIZI",
"IIIZZII",
"IIZIIZI",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
-0.5,
-0.25,
-1,
1.75,
-1,
-0.5,
-0.75,
-0.75,
-0.5,
-2,
-0.25,
-1.75,
1.75,
1.75,
1,
-0.5
] | 0.970798 | [
-0.02121917373057882,
0.7085683064572578,
-0.06024138352319858,
-0.717158803780761,
-0.027419781330413187,
0.9534655477484596,
0.681696906877384,
-0.7086536622318328,
1.7659512478861448,
0.02937759427138251,
1.1009043106829477,
-0.25747217679567397,
-1.11426630721713,
0.6485468629559561,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 73 |
4b4df5d05df608c0366af92253893227 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [0, 1], "expectation_value": -8.763444315418049, "params": [0.0054, -0.0896, -0.0019, -0.11610000000000001, 0.0027, -0.14550000000000002, 0.004, -0.15130000000000002, 0.005, -0.1371, 0.0033, -0.1401, 0.005, -0.10210000000000001, 0.0016, -0.1432, 0.0039000000000000003, -0.1, 0.0039000000000000003, -0.11270000... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(8) @ Z(1)) + 1.25 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(8)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(8)) + -0.5 * (Z(4)... | 5 | 9 | 4 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.25, "smallest_bitstrings": ["100000000", "111111110"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.07637812189088654) q[0];
rz(-0.031662487070781786) q[0];
rx(0.03006134840422924) q[1];
rz(0.009404066348106976) q[1];
rx(0.030061348404229242) q[2];
rz(0.0003548583340777789) q[2];
rx(0.03006134840422924) q[3];
rz(0.0980014272162335) q[3];
rx(-0.022922211057974238)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IZIIIIIIZ",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIIIIZZI",
"IZIIIIZII",
"ZIIIIIZII",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIZIIZI",
"IZIIZIIII",
"ZIIIZIIII",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIIZI",
"IZIZIIIII",
"IIIZIZIII",
"IZZIIIIII",
"IIZIIIZII",
"IIZZIIIII",
"... | [
-0.5,
-0.5,
-0.25,
1.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.75,
-0.25,
-0.75,
-0.75,
-0.25,
-0.5,
-0.5,
-1,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
0.25,
-0.25,
-0.75,
0.25,
0,
0.75,
-1.25,
0,
1
] | 0.974044 | [
0.07637812189088654,
-0.09440168892613927,
0.030061348404229242,
0.08536205555556856,
-0.025878329910601128,
0.017053295738432672,
-0.022922211057974238,
0.04609335158263715,
-0.1446803862162822,
0.10750055413767842,
0.1605299272953793,
0.16234299225842572,
2.1505603347659568,
-0.018128199... | {
"n_parameters": 21,
"n_qubits": 9,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 4 |
4ff0017f2ce0a2d8b4ff532a90a490be | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [6, 22], "expectation_value": -6.007076325241614, "params": [[[0.6508, -0.0777], [-0.0086, 0.382], [0.1811, 0.29710000000000003], [0.0014, 0.4051], [0.7939, -0.0037], [0.2639, 0.09290000000000001], [0.8054, -0.0009000000000000001], [0.805, 0.0005], [0.0017000000000000001, -0.4385]], [[0.645, 0.0063], [-0.006... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5, -7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -6.5, "smallest_bitstrings": ["011011011", "110111001", "100111101", "110011011", "011101011", "111110001", "111101001", "011110011"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(1.371591573671921) q[0];
ry(0.06936888276697183) q[0];
rz(-1.3897526018606516) q[0];
rz(1.6195655860211202) q[1];
ry(0.1425126673443193) q[1];
rz(-1.837091278071972) q[1];
rz(-1.6131772458869458) q[2];
ry(0.30126297131992996) q[2];
rz(1.4964090056014996) q[2];
rz(-1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IZIIIIIIZ",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IZIIIZIII",
"ZIIIIZIII",
"IIIIIZIZI",
"IIIIZIZII",
"IIIIZZIII",
"IIIIZIIZI",
"IIIZIIZII",
"ZIIZIIIII",
"IIIZIZIII",
"IIIZIIIZI",
"IIIZZIIII",
"ZIZIIIIII",
"IIZIIIIZI",
"IIIIIIZII",
"IIIIIIIIZ",
"IZIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-2.5,
-2,
-1.5,
-1.5,
-2,
-0.5
] | 0.971346 | [
0.054546548597334876,
-0.7950882699655446,
0.01369170427361821,
0.05391651160359506,
-0.40094886746328606,
0.12535171662285555,
0.10372924429405103,
0.20304059064530508,
1.5258722794976693,
-0.21018822009184088,
-0.010186793525845977,
0.642025290980612,
1.2307814608906116,
-0.4218904706968... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 18 |
5465826558882944770 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 3, 4, 5, 7], [8, 1, 10, 11], [2, 4, 6, 8, 9, 10, 11], [8, 3], [8, 0, 2], [0, 1, 4, 5, 7, 8, 9, 11], [9, 2, 3, 1], [0, 2, 3, 4, 5, 6, 11], [0, 1, 2, 3, 4, 6], [5, 6, 7, 8, 10, 11], [0, 1, 3, 4, 6, 7, 9, 10, 11], [1, 3, 5, 6, 7], [4, 5, 6, 7, 9, 10], [0... | {"states": [1790, 1786], "expectation_value": -2.5236582138697057, "params": [[[1.1905000000000001, -0.3904, 0.0055000000000000005, 0.0092], [0.7681, -0.39280000000000004, 0.3896, 0.008700000000000001], [1.1923000000000001, 0.0018000000000000002, 1.2002000000000002, 0.0045000000000000005], [1.1947, -0.0001, 0.9859, 0.0... | 0.12103174603174605 * (Z(0) @ Z(3)) + 0.12103174603174605 * (Z(4) @ Z(3)) + 0.15674603174603174 * (Z(4) @ Z(0)) + 0.12380952380952381 * (Z(5) @ Z(3)) + 0.19285714285714284 * (Z(5) @ Z(0)) + 0.19285714285714284 * (Z(5) @ Z(4)) + 0.11388888888888889 * (Z(7) @ Z(3)) + 0.18293650793650795 * (Z(7) @ Z(0)) + 0.13293650793650... | 11 | 12 | 1 | {"smallest_eigenvalues": [-4.017063492063492], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9313492063492057, "smallest_bitstrings": ["100100000101"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.7746923955036739) q[0];
rz(-0.7166910609972071) q[0];
ry(-0.033463181120093624) q[1];
rz(-0.3540993611834166) q[1];
cx q[1], q[0];
ry(-0.027188399159907436) q[1];
rz(-0.0681280157818209) q[1];
ry(1.5576424069311905) q[2];
rz(0.018211377466817426) q[2];
ry(1.545221... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIIIZIIZ",
"IIIIIIIZZIII",
"IIIIIIIZIIIZ",
"IIIIIIZIZIII",
"IIIIIIZIIIIZ",
"IIIIIIZZIIII",
"IIIIZIIIZIII",
"IIIIZIIIIIIZ",
"IIIIZIIZIIII",
"IIIIZIZIIIII",
"IIIZIIIIZIII",
"IIIZIIIIIIIZ",
"IIIZIIIZIIII",
"IIIZIIZIIIII",
"IIIZZIIIIIII",
"IIIIIIIIZIZI",
"IIIIIIIIIIZZ",
"IIIIIIIZI... | [
0.12103174603174605,
0.12103174603174605,
0.15674603174603174,
0.12380952380952381,
0.19285714285714284,
0.19285714285714284,
0.11388888888888889,
0.18293650793650795,
0.13293650793650794,
0.2857142857142857,
0.5,
0.2523809523809524,
0.05952380952380952,
0.11904761904761905,
0.1190476190... | 0.971154 | [
0.7746923955036739,
-0.7166910609972071,
-0.033463181120093624,
-0.3540993611834166,
1.5576424069311905,
0.018211377466817426,
1.5452216498709594,
0.007036065339756901,
2.2351464431656782,
-0.14353861999287748,
0.10484140846904774,
0.05872470848396146,
1.6336599782794916,
-0.08408727500258... | {
"n_parameters": 43,
"n_qubits": 12,
"optimal_eigenvalue": -4.017063492063492,
"target_ratio": 0.97,
"target_value": -3.8965515873015866
} | 117 |
100b035d500fd4645fd2b0e271b9dd47 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 4}, {"capaci... | {"states": [36, 5], "expectation_value": -5.7496317662910466, "params": null, "bitstrings": ["011011", "111010"], "total_optimization_steps": 20, "probabilities": [3.1555071643406036e-05, 0.999906214239704], "optimization_time": 14.011335372924805} | -0.75 * (Z(0) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(5) + -1.5 * Z(1) + 0.5 * Z(4) + 1.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["111010"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.036361120549268114) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.036361120549268114) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.036361120549268114) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(-0.036361120549268114) q[3... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"ZIIIIZ",
"IIIZZI",
"IZIZII",
"ZZIIII",
"IZIIZI",
"IIZZII",
"ZIZIII",
"IZZIII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IZIIII",
"IIZIII"
] | [
-0.75,
1,
-0.75,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
-0.25,
0,
-0.25,
0.25,
-1.5,
0.5,
1
] | 0.970014 | [
-0.036361120549268114,
0.14405844121527378,
-0.13116864722027602,
-0.09016403948180983,
-0.42208946727799673,
1.032345964282921,
-0.27380445100274553,
-0.67408198946556,
-0.7224973711725445,
-0.10950294361258778,
0.4622101983096701,
-0.0277322755715016,
0.07715182970014163,
0.5101723696398... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 90 |
-2070272192972975425 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2, 4, 6], [2, 3, 4, 5], [0, 1, 5, 6], [1, 3, 4, 5, 6], [0, 2, 4, 5, 6], [1, 2, 3], [0, 3, 6], [0, 1, 4, 5], [1, 2, 4, 5], [0, 3, 4]]} | {"states": [45, 47], "expectation_value": -1.0840467027045642, "params": [[0.2497], [-0.2432]], "bitstrings": ["1010010", "1010000"], "total_optimization_steps": 30, "probabilities": [0.014349642527665246, 0.0143599394690644], "optimization_time": 1.4521963596343994} | 0.21666666666666667 * (Z(0) @ Z(1)) + 0.3 * (Z(2) @ Z(1)) + 0.1 * (Z(2) @ Z(0)) + 0.26666666666666666 * (Z(4) @ Z(1)) + 0.35 * (Z(4) @ Z(0)) + 0.26666666666666666 * (Z(4) @ Z(2)) + 0.18333333333333335 * (Z(6) @ Z(1)) + 0.35 * (Z(6) @ Z(0)) + 0.1 * (Z(6) @ Z(2)) + 0.15000000000000002 * (Z(6) @ Z(4)) + 0.2166666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.3999999999999995], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3166666666666664, "smallest_bitstrings": ["1010000"], "largest_eigenvalue": 10.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.3625046353733305) q[0];
h q[1];
ry(1.503895517678477) q[1];
h q[2];
ry(-0.3867772164845615) q[2];
h q[3];
cx q[3], q[0];
ry(0.3625046353733305) q[0];
cx q[3], q[0];
ry(-0.28342853089207637) q[0];
cx q[1], q[0];
ry(0.28342853089207637) q[0];
cx q[1], q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIZIIII",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZZIII",
"ZIIZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZZIIII",
"ZZIIIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZ... | [
0.21666666666666667,
0.3,
0.1,
0.26666666666666666,
0.35,
0.26666666666666666,
0.18333333333333335,
0.35,
0.1,
0.15000000000000002,
0.21666666666666667,
0.3333333333333333,
0.25,
0.3,
0.21666666666666667,
0.3,
0.21666666666666667,
0.21666666666666667,
0.35,
0.18333333333333335,... | 0.976639 | [
1.707721765765945,
1.503895517678477,
1.0256034988578786,
-0.725009270746661,
0.43054185753595337,
0.2032529586797146,
-0.5668570617841527,
0.541345575213752,
-0.773554432969123,
-0.590307615390818,
0.512043244646059,
-0.3919257894255204,
0.37851236353647283,
-0.44905473006266283,
0.3330... | {
"n_parameters": 30,
"n_qubits": 7,
"optimal_eigenvalue": -2.3999999999999995,
"target_ratio": 0.97,
"target_value": -2.3279999999999994
} | 1 |
cde6b48ed870286595c1455af7aff8bd | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [1, 14], "expectation_value": -0.047811916350811196, "params": [[0.0668], [-0.0728]], "bitstrings": ["1110", "0001"], "total_optimization_steps": 10, "probabilities": [0.06490340167231413, 0.06727444216669964], "optimization_time": 0.5160107612609863} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["0001"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
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];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
rz(x1) q[3];
rz(x2)... | null | {"circuits": [], "gradients": []} | [
"ZIIZ",
"ZIZI",
"ZZII",
"ZIII",
"IIIZ",
"IIZI",
"IZII"
] | [
0.5,
0.5,
0.5,
-1,
0,
0,
0
] | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
-3517122334671635697 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 6], [1, 3], [3, 6], [0, 8], [8, 5], [1, 7], [1, 4], [6, 7], [1, 2], [3, 7], [8, 7]]} | {"states": [378, 350], "expectation_value": -2.9811411444832125, "params": null, "bitstrings": ["010000101", "010100001"], "total_optimization_steps": 86, "probabilities": [0.06765936311725464, 0.64238187770367], "optimization_time": 156.46490335464478} | 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(6) + 0.0 * Z(8) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(5) + ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.5, "smallest_bitstrings": ["110001100", "001110001", "010100001", "001110011", "101011110", "110001110", "101111010", "010000101"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.3746844875815204) q[0];
rz(1.3110369261039168) q[0];
rx(3.1380957960035345) q[1];
rz(2.1819797312777176) q[1];
rx(0.2528156822506559) q[2];
rz(1.830683892654867) q[2];
rx(0.48191703823807935) q[3];
rz(1.2536868592960735) q[3];
rx(-0.17096366683247538) q[4];
rz(0.31... | 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[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... | [
"ZIZIIIIII",
"IIZIIZIII",
"IIIIIZIZI",
"ZIIIIIIIZ",
"ZIIZIIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IZIIIZIII",
"IZIIIIIZI",
"IIIIZIIZI",
"IIIIIIZZI",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIZIIIII",
"IZIIIIIII",
"IIIIZIIII",
"IIIIIIZII"
] | [
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
] | 0.971026 | [
0.3746844875815204,
-0.2597594006909799,
3.1380957960035345,
0.6111834044828207,
0.252815682250656,
0.2598875658599703,
0.48191703823807946,
-0.3171094674988232,
-0.17096366683247538,
-1.2560456930557635,
0.0757737349815106,
0.5945983271914261,
0.7394849312335493,
-0.052940227169971654,
... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 107 |
66118b4a39d9f94415b36602b745f3db | 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": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1... | {"states": [64, 63], "expectation_value": -0.02357921117608372, "params": [[0.038400000000000004], [-0.0274]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.008059666712813043, 0.008093089235588467], "optimization_time": 1.6825451850891113} | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * Z(4) + -0.25 * Z(0) + 0.25 * Z(1) + -0.5 * Z(5) + 0.5... | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 4.5} | 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(-0.12524510593503183) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.2057321989079934) q[1];
cx q[4], q[1];
h q[5];
cx q[4], q[5];
rz(-0.12524510593503183) q[5];
cx q[4], q[5];
cx q[1], q[5];
cx q[4], q[2];
rz(-0.2057... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(x1)... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IIZIIZI",
"IZZIIII",
"IZIIIZI",
"IIZIZII",
"IIIIZZI",
"IZIIZII",
"ZIIIIIZ",
"ZIIIZII",
"IIIZIZI",
"IIIZZII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IZIIIII",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
-0.25,
-0.75,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
0.25,
-0.5,
0.5,
0,
0.5
] | 0.959452 | [
-0.12524510593503183,
-0.2057321989079934,
0.18692089032363474,
0.6210941574237907,
0.4969742707579973,
0.9038872847986754,
-1.528486332966517,
-0.26931922132779773,
-0.442174215049874,
0.3538515939923324,
1.0125796270904612,
0.4397668488203588,
-1.1536132104223544,
-0.5382064669199504,
... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 500 |
ec471b6985489d774242f85569adf59b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 5... | {"states": [64, 63], "expectation_value": -0.7516904285739443, "params": [[-0.076, -0.08650000000000001], [0.0737, 0.0795]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.01345530766301839, 0.013948293806355429], "optimization_time": 2.39430570602417} | -0.5 * (Z(0) @ Z(3)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(5)) + 0.75 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(4)) + 0.5 * Z(3) + -0.25 * Z(0) + 0.0 * Z(2) + -0.75 * Z(1) + -0.5 * Z(5) + 1.0 * Z(4) + 0.0 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.25, -5.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.25, "smallest_bitstrings": ["1100000", "1000000"], "largest_eigenvalue": 7.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.22626317840587773) q[0];
ry(-0.5184008335123981) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
ry(1.1401633959010897) q[3];
cx q[2], q[3];
ry(-1.1401633959010897) q[3];
cx q[2], q[3];
ry(1.0093741371010103) q[2];
cx q[3], q[2];
ry(-1.0093741371010103) q[2];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIIZZII",
"IIIIZZI",
"IZIZIII",
"IZIIZII",
"IIZIIZI",
"IZZIIII",
"ZIIIIIZ",
"ZIZIIII",
"IIIZIII",
"IIIIIIZ",
"IIIIZII",
"IIIIIZI",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
-0.5,
-1,
-0.25,
-0.5,
-0.25,
-0.5,
-1.25,
0.75,
-0.75,
0.5,
-0.25,
0,
-0.75,
-0.5,
1,
0
] | 0.970102 | [
-0.1900303620413008,
2.2803267918021795,
1.1256654437583153,
2.0187482742020206,
1.6434168369096631,
1.8426328371418002,
-0.45252635681175546,
0.08217158641126696,
-0.8455112738086743,
-0.4137684389476487,
0.288434515948629,
-1.303737398731056,
-0.011656880147209253,
0.1711251505104498,
... | {
"n_parameters": 32,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 99 |
4343180264461205514 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[8, 11, 12], [9, 1], [8, 0], [9, 12, 6], [11, 9, 2, 10], [11, 7], [8, 12, 5, 6], [8, 9, 11], [0, 11, 12], [2, 4, 7], [0, 9, 2, 5], [3, 9, 11, 6], [8, 9, 5], [4, 5], [2, 4, 12], [0, 5, 7], [8, 3, 4, 12], [3, 5], [10, 12, 5, 7], [1, 10, 11], [1, 3], [0,... | {"states": [6031, 5903], "expectation_value": -6.8785254501768875, "params": [1.5751000000000002, 0.0026000000000000003, 1.5706, 0.0077, 0.013300000000000001, 0.8523000000000001, 0.18080000000000002, -0.0437, 1.5677, -0.002, 1.5692000000000002, 0.0047, 1.1431, 0.2876, 1.3433000000000002, -0.4033, 0.811, 0.0139000000000... | 0.3333333333333333 * (Z(8) @ Z(11)) + 0.3333333333333333 * (Z(12) @ Z(11)) + 0.3333333333333333 * (Z(12) @ Z(8)) + 0.3333333333333333 * (Z(9) @ Z(11)) + 0.3333333333333333 * (Z(9) @ Z(8)) + 0.25 * (Z(9) @ Z(12)) + 0.16666666666666666 * (Z(1) @ Z(11)) + 0.16666666666666666 * (Z(1) @ Z(12)) + 0.5 * (Z(1) @ Z(9)) + 0.1666... | 8 | 13 | 1 | {"smallest_eigenvalues": [-7.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.249999999999997, "smallest_bitstrings": ["0100011110000"], "largest_eigenvalue": 24.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(1.7330946028973737) q[0];
rz(1.6036586728966622) q[0];
rx(0.09299447089591095) q[1];
rz(0.9994773734594422) q[1];
cx q[1], q[0];
ry(0.00237114594758691) q[0];
cx q[1], q[0];
ry(1.5307256962687914) q[0];
rz(-1.4105166696899099) q[0];
rx(0.13649910621548195) q[1];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIZIIIIIIII",
"ZZIIIIIIIIIII",
"ZIIIZIIIIIIII",
"IZIZIIIIIIIII",
"IIIZZIIIIIIII",
"ZIIZIIIIIIIII",
"IZIIIIIIIIIZI",
"ZIIIIIIIIIIZI",
"IIIZIIIIIIIZI",
"IZIIIIIIIIIIZ",
"IIIIZIIIIIIIZ",
"ZIIIIIIIIIIIZ",
"IIIZIIIIIIIIZ",
"IIIIIIIIIIIZZ",
"IZIIIIZIIIIII",
"IIIIZIZIIIIII",
"ZIIIIIZIIII... | [
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.25,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.41666666666666663,
0.16666666666666666,
0.25,
0.08333333333333333,
0.08333333333333333,
0.25,
0.25,
... | 0.971331 | [
1.7330946028973737,
0.03286234610176564,
0.09299447089591095,
0.9994773734594422,
1.5850871184995763,
-0.019092932271881274,
1.2733971356650824,
0.37067488155962003,
0.7605368255110307,
0.004358857686741394,
2.955689649732557,
0.47382447214652534,
-0.07401487717103844,
-1.652742591135108,
... | {
"n_parameters": 58,
"n_qubits": 13,
"optimal_eigenvalue": -7.333333333333333,
"target_ratio": 0.97,
"target_value": -7.113333333333333
} | 9 |
5bfd79024282ae69c62758a244a2de56 | 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": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [44, 42], "expectation_value": -0.42042695793666784, "params": [[-0.0661, -0.039400000000000004, -0.047], [0.0819, 0.063, 0.061200000000000004]], "bitstrings": ["010011", "010101"], "total_optimization_steps": 10, "probabilities": [0.021283504942182174, 0.022233612414738334], "optimization_time": 2.860885143... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["010011", "010101", "010110"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(3.040705587759774) q[0];
ry(3.0322761206209288) q[0];
rz(0.23746657912877067) q[0];
rz(-0.5485384081350269) q[1];
ry(0.03463465039766057) q[1];
rz(1.8086014627808424) q[1];
rz(2.1740019225107847) q[2];
ry(2.742027400286282) q[2];
rz(-0.45482682963069987) q[2];
rz(0.8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IZIIZI",
"IZZIII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
0,
-1,
-0.5,
-0.5
] | 0.974004 | [
1.0529037450256176,
0.06477150500217821,
0.0632023087334098,
0.46017332254292537,
1.2192432119969236,
0.14088225722938502,
1.1314918741657554,
-0.05745195682464036,
-0.04240668812804869,
-0.5477397576739919,
-0.046155027306700576,
-0.6332603826055265,
1.1415462481792484,
-0.100403553526293... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 15 |
5a12fc3b9ebd59a3b68795f0bd90935e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [12, 50], "expectation_value": -1.1385716811637971, "params": [[-0.0709, -0.0777, -0.07680000000000001], [0.0656, 0.0723, 0.0709]], "bitstrings": ["110011", "001101"], "total_optimization_steps": 10, "probabilities": [0.026717475353198836, 0.031910004938872735], "optimization_time": 5.533370018005371} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -1.0 * Z(1) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["001101"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(1.1435948285215511e-07) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(1.1435948285215511e-07) q[1];
cx q[2], q[1];
rz(-0.5698699266786225) q[2];
rx(0.6578008209073697) q[2];
h q[3];
cx q[0], q[3];
rz(1.1435948285215511e-07) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"IIZIZI",
"ZIIIZI",
"IZZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-1.5,
-1,
-0.5
] | 0.777778 | [
1.1435948285215511e-7,
-0.5698699266786227,
0.8976760148695336,
0.858764150438184,
0.6578008209073697,
-2.2179312215672304e-7,
-0.7323750322594127,
-0.1837825357866761,
-0.09561625248230032,
0.3664649548078836,
2.7031261787381847e-7,
-0.4507353837506744,
1.1904463292135272,
1.1313235119654... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 397 |
1740398393227100453 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 4, 5, 6, 7, 8], [3, 4, 7], [0, 2, 3, 4, 5, 6, 8], [0, 1, 2, 3, 5, 6, 7, 8], [0, 1, 2, 4, 6, 7], [0, 1, 2, 3, 4, 5, 6], [1, 2, 4, 5, 7, 8]]} | {"states": [487, 431], "expectation_value": -0.9104128963499213, "params": [[-0.46], [0.45680000000000004]], "bitstrings": ["000011000", "001010000"], "total_optimization_steps": 50, "probabilities": [0.005911645152759061, 0.005976941542727317], "optimization_time": 6.735025882720947} | 0.1226190476190476 * (Z(0) @ Z(2)) + 0.13809523809523808 * (Z(4) @ Z(2)) + 0.10476190476190475 * (Z(4) @ Z(0)) + 0.1226190476190476 * (Z(5) @ Z(2)) + 0.08928571428571427 * (Z(5) @ Z(0)) + 0.10476190476190475 * (Z(5) @ Z(4)) + 0.1226190476190476 * (Z(6) @ Z(2)) + 0.1226190476190476 * (Z(6) @ Z(0)) + 0.10476190476190475 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.4297619047619046], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.4178571428571427, "smallest_bitstrings": ["001010000"], "largest_eigenvalue": 7.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.006445586297251837) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.0009302125864732924) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.004290821504455602) q[4];
cx q[0], q[4];
h q[5];
cx q[2], q[5];
rz(0.0064455862972518... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZZIIII",
"IIZIIIZII",
"IIZIIIIIZ",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIIIIIZ",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"... | [
0.1226190476190476,
0.13809523809523808,
0.10476190476190475,
0.1226190476190476,
0.08928571428571427,
0.10476190476190475,
0.1226190476190476,
0.1226190476190476,
0.10476190476190475,
0.08928571428571427,
0.10833333333333334,
0.075,
0.2571428571428571,
0.075,
0.075,
0.0988095238095237... | 0.970022 | [
0.006445586297251837,
-0.0009302125864732924,
-0.004290821504455602,
-0.010387245047795923,
0.004386068043929936,
-0.00827117387939691,
0.0001877727889763748,
0.009356456559561672,
0.0001811657846431773,
-0.010381807461886185,
0.0013147409151616006,
-2.7492500200603214,
-0.006408303261313284... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -1.4297619047619046,
"target_ratio": 0.97,
"target_value": -1.3868690476190475
} | 253 |
9018084878276581674 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 4], [1, 3], [0, 2]]} | {"states": [13, 7], "expectation_value": -1.3449506149011068, "params": null, "bitstrings": ["10010", "11000"], "total_optimization_steps": 27, "probabilities": [0.05537713729470504, 0.7831782156395142], "optimization_time": 12.06494665145874} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.5, "smallest_bitstrings": ["11000", "10010", "00111", "01101"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.587574476341225) q[0];
h q[1];
ry(-0.587574476341225) q[1];
h q[2];
h q[3];
cx q[3], q[1];
ry(0.587574476341225) q[1];
cx q[3], q[1];
ry(-0.7248980832143264) q[1];
ry(1.3289814574374292) q[3];
h q[4];
cx q[4], q[0];
ry(0.587574476341225) q[0];
cx q[4], q[0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) q[4], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... | [
"ZIIIZ",
"IZIZI",
"IIZIZ",
"ZIIII",
"IIIIZ",
"IZIII",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.974175 | [
-1.17514895268245,
1.1902003328642206,
-0.9219636094121713,
1.5055154782764275,
-0.4722648309212851,
0.27756224914641736,
0.3198515543842288,
-0.1165593611533683,
-0.5052665045860828,
0.03822915822704296,
-0.036596436786424755,
0.0267627491036797,
-0.2446538645617895,
-0.05136497759405422,... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 16 |
b870bf177a3da6a6ab4722ca2196f1d4 | 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": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [42, 104], "expectation_value": -5.996398041568156, "params": null, "bitstrings": ["1010101", "0010111"], "total_optimization_steps": 31, "probabilities": [0.0663519663414827, 0.9303270202938851], "optimization_time": 34.372315645217896} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + -2.5 * Z(4) + -0.5 * Z(0) + -1.0 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["1010101", "0010111"], "largest_eigenvalue": 16.0} | 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(0.13979582898122853) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.13979582898122853) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(0.13979582898122853) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(0.1397958... | 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[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",
"IZZIIII",
"IZIIIIZ",
"IIZIIZI",
"IIZIZII",
"IZIIZII",
"IIIIZZI",
"ZIZIIII",
"ZIIIIZI",
"ZIIIZII",
"IIZZIII",
"IIIZZII",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-0.5,
-1,
-1,
-2,
-1.5,
-1
] | 0.970674 | [
0.13979582898122853,
0.5451974851045387,
0.896311297188517,
-0.7414798324997988,
0.5352231120965443,
0.15835998395847423,
0.19561446837986352,
-0.10248641959100045,
1.145938659979391,
0.49965126800794935,
-0.9225964103626579,
0.7782952451572615,
1.5157746098993041,
1.5283742643698681
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 51 |
ec86dd03f1bc9f7a5980c14449900d15 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, ... | {"states": [3, 11], "expectation_value": -6.009503054026333, "params": null, "bitstrings": ["11111100", "11110100"], "total_optimization_steps": 28, "probabilities": [0.42570392794798445, 0.426398699446226], "optimization_time": 30.259154558181763} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(2)) + -0.75 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(4) @ ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.75, "smallest_bitstrings": ["11110110", "11111110", "11111100", "11110100"], "largest_eigenvalue": 8.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.16999686101045597) q[0];
ry(-0.7461488452616151) q[1];
rz(-pi) q[1];
ry(-0.08098995602078439) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.8918758604400108) q[3];
h q[4];
h q[5];
ry(-0.6909274773558883) q[5];
h q[6];
ry(1.6029270172358627) q[6];
h q[7];
cx q[7], q[0]... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.5681) q[7], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIIZ",
"IIIIIZZI",
"IIIIZZII",
"IIZIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZZIIIIII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IIIIIZII",
"ZIIIIIII",
"IZIIIIII",
"IIIZIIII"
] | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
1.75,
-0.25,
-0.25,
-0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
0.25,
0.75,
0.75,
0.25
] | 0.970267 | [
-0.33999372202091194,
1.3129654467744951,
1.6029270172358627,
-0.6590546223712845,
0.18968510787131154,
-0.5503415377524958,
-1.7837517208800215,
-1.3818549547117767,
-1.0868611186790245,
-0.44875350089838817,
-0.10942090189840499,
0.17912767502386534,
-0.8058905041901756,
-0.0868358831952... | {
"n_parameters": 19,
"n_qubits": 8,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 24 |
7027846492532526606 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 5], [0, 1, 2, 3, 4, 6, 7, 9], [9, 5], [8, 2, 7]]} | {"states": [938, 939], "expectation_value": -0.2594612632091118, "params": [0.8059000000000001, 0.018500000000000003, 0.7952, 0.0036000000000000003, 0.797, 0.0366, 0.7933, 0.0023, 0.8033, 0.042, 0.8057000000000001, 0.001, 0.7985, 0.136, 0.7939, 0.0082, 0.8019000000000001, 0.1063, 0.8054, 0.008700000000000001, 0.7975, 0... | 0.1845238095238095 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.017857142857142856 * (Z(2) @ Z(1)) + 0.017857142857142856 * (Z(2) @ Z(0)) + 0.017857142857142856 * (Z(3) @ Z(1)) + 0.017857142857142856 * (Z(3) @ Z(0)) + 0.017857142857142856 * (Z(3) @ Z(2)) + 0.0178571428... | 6 | 10 | 1 | {"smallest_eigenvalues": [-1.3452380952380953, -1.3452380952380953, -1.3452380952380953, -1.3452380952380953, -1.3452380952380953, -1.3452380952380953], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.345238095238095, "smallest_bitstrings": ["0001010100", "0000110100", "0010011000", "0010110000", "00110... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(2.4582872877280146) q[0];
rz(1.5051858908236504) q[0];
rx(0.9928016606884419) q[1];
rz(1.5886457675678525) q[1];
rx(2.2019847961809385) q[2];
rz(1.5120229058610182) q[2];
rx(2.534082706368148) q[3];
rz(1.4717443427537305) q[3];
rx(0.6674469670686927) q[4];
rz(0.9895... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIIIZII",
"IIIZIIZIII",
"IIIZIZIIII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZIIIIZII"... | [
0.1845238095238095,
0.16666666666666666,
0.16666666666666666,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857142857142856,
0.017857... | 0.970519 | [
2.4582872877280146,
-0.06561043597124591,
0.9928016606884419,
0.017849440772955423,
2.2019847961809385,
-0.05877342093387815,
2.534082706368148,
-0.09905198404116627,
0.6674469670686926,
-0.5812638232759972,
3.154839408708663,
2.9118870690033303,
0.24383369711632044,
3.2803432786812117,
... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -1.3452380952380953,
"target_ratio": 0.97,
"target_value": -1.3048809523809524
} | 340 |
4d63f4ebf529d16921552ca8fd853591 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [159, 155], "expectation_value": -77.79569403053917, "params": [0.48660000000000003, -0.4284, 1.4924000000000002, -0.0033, -0.0028, 1.0543, -0.002, 0.8826, 1.4909000000000001, -0.0022, 1.4953, -0.1456, 0.7646000000000001, -0.2968, 1.4975, -0.0339, 1.4913, -0.0183, 0.4813, 0.0029000000000000002, 1.49450000000... | 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(5) @ Z(0)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(8) @ Z(4)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(7) @ Z(0)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(8)) + 6.5 * Z(0) + 17.5 * Z(1) + 21.0 * ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-90.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["101100100"], "largest_eigenvalue": 178.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.20060331994860475) q[0];
rz(-0.46836232959700075) q[0];
rx(1.352636320436524) q[1];
rz(0.06429469275826485) q[1];
rx(0.05559131770660522) q[2];
rz(1.116110092738427) q[2];
rx(0.019899293255107506) q[3];
rz(1.0860821646449368) q[3];
rx(1.4145065271608537) q[4];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIZIIIIZI",
"IIZIZIIII",
"IIIZIIIIZ",
"IIZZIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIZIIIIII",
"IZIIIIIIZ",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"... | [
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,
6.5,
17.5,
21,
-3.5,
13.5,
13.5,
16.5,
14.5,
-7
] | 0.972522 | [
0.20060331994860472,
-0.3570112648160292,
1.352636320436524,
0.06429469275826485,
0.05559131770660522,
1.116110092738427,
0.019899293255107506,
1.0860821646449368,
1.4145065271608537,
-0.05304327743100826,
1.6037142614731437,
-0.1389404271735575,
0.2564198436231425,
-0.25921569777881276,
... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -90,
"target_ratio": 0.97,
"target_value": -87.3
} | 8 |
9c66622699bfa14442b166f8586f4ac4 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": 0, "target": 9}, {"capac... | {"states": [91, 473], "expectation_value": -1.5087056390870954, "params": [[0.0028, -0.0013000000000000002, -0.0006000000000000001, 0.0082, 0.0036000000000000003, -0.0019, 1.29, 0.7858, 0.0016, -0.0013000000000000002], [0.0014, 0.0035, -1.2639, 1.2638, 0.0023, 0.5958, -0.0027, -0.0014, 0.7812, -1.2642], [0.0014, 0.0082... | -0.25 * (Z(0) @ Z(4)) + -1.0 * (Z(7) @ Z(0)) + 1.5 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(7)) + -0.75 * (Z(3) @ Z(9)) + -1.0 * (Z(1) @ Z(3)) + -0.75 * (Z(2) @ Z(4)) + -0.75 * (Z(8) @ Z(4)) + -0.25 * (Z(5) @ Z(9)) + -0.25 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(8)) + -1.0 * (Z(6) @ Z(3)) + -1.25 * Z(4) + -0.25 * Z(0) + 0.0 * Z(... | 9 | 10 | 4 | {"smallest_eigenvalues": [-8.25, -8.25, -8.25, -8.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.25, "smallest_bitstrings": ["1000100110", "1010100110", "1000100010", "1010100010"], "largest_eigenvalue": 12.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-3.085832912171865e-09) q[0];
cx q[4], q[0];
cx q[4], q[2];
rz(-3.575971455322439e-08) q[2];
cx q[4], q[2];
h q[5];
h q[6];
h q[7];
cx q[0], q[7];
rz(7.597615609702633e-08) q[7];
cx q[0], q[7];
h q[8];
cx q[4], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIIIZIIIZ",
"IIZIIIIIIZ",
"ZIIIIIIIIZ",
"ZIZIIIIIII",
"ZIIIIIZIII",
"IIIIIIZIZI",
"IIIIIZIZII",
"IZIIIZIIII",
"ZIIIZIIIII",
"IIIIZIIZII",
"IZIIZIIIII",
"IIIZIIZIII",
"IIIIIZIIII",
"IIIIIIIIIZ",
"IIZIIIIIII",
"ZIIIIIIIII",
"IIIIIIZIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IZIIIIIIII"... | [
-0.25,
-1,
1.5,
-1,
-0.75,
-1,
-0.75,
-0.75,
-0.25,
-0.25,
-0.75,
-1,
-1.25,
-0.25,
0,
-0.5,
-1.25,
1,
0.5,
-0.5,
1.25,
1
] | 0.757576 | [
-3.085832912171865e-9,
7.597615609702633e-8,
4.096938232312157e-8,
-3.575971455322439e-8,
1.5707963150928823,
1.570796399489748,
1.5707963898803807,
-1.5214293905533793,
-0.4138944604117366,
-1.5707963905635258,
1.5707963369706717
] | {
"n_parameters": 11,
"n_qubits": 10,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 245 |
cee21d2c524e6fc138e70d6d9e27345e | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 6, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 2}]} | {"states": [250, 239], "expectation_value": -12.024010549435326, "params": null, "bitstrings": ["100000101", "100010000"], "total_optimization_steps": 100, "probabilities": [0.14247663162315644, 0.539232571404101], "optimization_time": 264.58665561676025} | 2.0 * (Z(1) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(1)) + 1.0 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 1.0 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["100010000"], "largest_eigenvalue": 55.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.08561040186494705) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.08561040186494705) q[3];
cx q[2], q[3];
cx q[1], q[3];
cx q[2], q[0];
rz(-0.13032020170893938) q[0];
cx q[2], q[0];
rz(-0.13032020170893938) q[3];
cx q[1], ... | null | {"source": 0, "sink": 4} | {"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(0.4397) 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] = m... | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IZIIIIZII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIIIIIZ",
"ZIIIIIZII",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIIZIIIZ",
"IZIIZIIII",
"ZIIIZIIII",
"... | [
2,
2,
1,
1,
0.5,
0.5,
1,
0.5,
0.5,
0.5,
1,
0.5,
0.5,
0.5,
1,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-2,
-1,
-1,
-1,
-1,
-1,
1,
-3,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
1.5,
3,
5,
2.5,
2.5,
0,
1.5,
1.5,
-0.5,
-1,
-1.5
] | 0.69852 | [
-0.08561040186494705,
-0.13032020170893938,
-0.09293795236063519,
-0.1836712523285487,
0.1609684499092548,
-0.012457635001121998,
-0.0033797729801731662,
0.12930263904239359,
-0.05240497445492781,
-1.5648064933444994,
-1.5025379725146595,
-1.0821352790424412,
1.4484250023356933,
0.98938625... | {
"n_parameters": 14,
"n_qubits": 9,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 296 |
6272802841015324019 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 4], [2, 3, 6], [3, 4, 5], [0, 1]]} | {"states": [77, 45], "expectation_value": -1.3910902276108092, "params": null, "bitstrings": ["0110010", "1010010"], "total_optimization_steps": 40, "probabilities": [0.04372994537737626, 0.798760483688142], "optimization_time": 36.82651400566101} | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.4999999999999996, "smallest_bitstrings": ["0101000", "1010010", "1000101"], "largest_eigenvalue": 3.4999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.2881550897283588) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.2881550897283588) q[4];
cx q[2], q[4];
cx q[1], q[4];
cx q[2], q[3];
rz(-0.2881550897283588) q[3];
cx q[2], q[3];
rz(-0.2881550897283588) q[4];
cx q[... | 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(1.2292) 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[6];\n", "... | [
"IIIIZZI",
"IIZIZII",
"IIZIIZI",
"IIIZZII",
"IIZZIII",
"ZIIIZII",
"ZIIZIII",
"IZZIIII",
"IZIZIII",
"IIIIIZZ",
"IIIIZII",
"IIIIIZI",
"IIZIIII",
"IIIZIII",
"ZIIIIII",
"IZIIIII",
"IIIIIIZ"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666663,
0.3333333333333333,
0.3333333333333333,
0.16666666666... | 0.696588 | [
-0.2881550897283588,
-1.496924056958604,
-0.8702342626006511,
0.27763552226674554,
0.8275140809017422
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 131 |
d33b4d23e29cf04cf64885f10cef83ae | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target":... | {"states": [133, 389], "expectation_value": -11.021438748551487, "params": [[0.0021000000000000003, 0.32130000000000003, 1.2198, -0.0018000000000000002, 0.0436, 0.0018000000000000002, -0.0201, 1.5805, 0.0031000000000000003, 1.5835000000000001], [0.0024000000000000002, 1.6049, 1.6083, -0.0018000000000000002, -0.0478, 0.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["1001111010"], "largest_eigenvalue": 32.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.014595828281026665) q[0];
ry(0.42382003206719193) q[1];
ry(1.0083014597577722) q[2];
ry(-0.008870925321540876) q[3];
ry(0.04895722160180988) q[4];
ry(0.034787109952550674) q[5];
ry(0.14406794798778041) q[6];
ry(1.5785429175312298) q[7];
ry(0.007564541677681294) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIZIIIIIIZ",
"IIZIIZIIII",
"IIZIZIIIII",
"IIIIIZIIZI",
"IIIIZIIIZI",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIIIZIZI",
"IIZZIIIIII",
"IIIZIIIIZI",
"IIIZIIZIII",
"IZIIIIIZII",
"IZIIIZIIII",
"IZIIZIIIII",
"IZZIIIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-3,
-3,
-2,
-2,
-2.5,
-1.5,
-2.5,
-1
] | 0.97026 | [
-0.014595828281026665,
0.42382003206719193,
1.0083014597577722,
-0.008870925321540876,
0.04895722160180988,
0.034787109952550674,
0.14406794798778041,
1.5785429175312298,
0.007564541677681294,
1.6567244280411177,
-0.09948033714654456,
1.9336748359958358,
1.8309452310081076,
-0.028273533318... | {
"n_parameters": 17,
"n_qubits": 10,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 7 |
6abfcea40fcfb2aee6e60541a981751a | 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": 7}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 5}, {"capacity": 1, "source": 3, ... | {"states": [91, 127], "expectation_value": -0.21971752914211806, "params": [[0.0577, 0.061900000000000004, 0.054400000000000004, 0.060200000000000004], [-0.0529, -0.0618, -0.0459, -0.049800000000000004]], "bitstrings": ["10100100", "10000000"], "total_optimization_steps": 10, "probabilities": [0.005963000900702049, 0.0... | 0.25 * (Z(0) @ Z(7)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(4) @ Z(6)) + 0.0 * Z(7) + -0.25 * Z(0) + -0.5 * Z(6) + 0.5 * Z(1) + 0.0 * Z(2) + -0.25 * Z(5) + 0.25 * Z(3) + 0.25 * Z(4) | 1 | 8 | 4 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.5, "smallest_bitstrings": ["10000100", "10000000", "10100100"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(-1.0595857759622829) q[0];
cx q[7], q[0];
rz(0.6048134702058414) q[0];
rx(1.029216584893515) q[0];
cx q[7], q[6];
rz(0.6048134702058412) q[6];
cx q[7], q[6];
cx q[6], q[1];
rz(-0.097899551... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"ZIIIIIIZ",
"ZZIIIIII",
"IZIIIIZI",
"IZIIIZII",
"IIZIIZII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII"
] | [
0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
0,
-0.25,
-0.5,
0.5,
0,
-0.25,
0.25,
0.25
] | 0.577358 | [
-1.0595857759622829,
0.6048134702058412,
-0.09789955183094325,
-0.06106895996654886,
-1.6195074235481492,
1.0292165848935153
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 157 |
32c52c2bcf66ad7577bb97e9bc339d3a | 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": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": ... | {"states": [2048, 2047], "expectation_value": -29.23355815323584, "params": [[[0.6035, 0.0292], [0.0, 0.027], [-0.0022, 0.0024000000000000002], [-0.0044, -0.0004], [-0.0076, 0.002], [-0.0064, -0.0027], [0.0027, -0.0002], [0.00030000000000000003, 0.0023], [-0.003, 0.0026000000000000003], [0.0012000000000000001, -0.0023]... | -0.5 * (Z(0) @ Z(4)) + -1.5 * (Z(9) @ Z(4)) + -0.75 * (Z(9) @ Z(0)) + 1.5 * (Z(3) @ Z(0)) + -1.25 * (Z(3) @ Z(9)) + -1.25 * (Z(1) @ Z(4)) + -1.25 * (Z(1) @ Z(9)) + -1.5 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(1)) + -1.25 * (Z(6) @ Z(1)) + -0.25 * (Z(7) @ Z(9)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(8) @... | 15 | 12 | 4 | {"smallest_eigenvalues": [-29.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.75, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 29.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.49810568043368086) q[0];
ry(-0.025782428064184) q[1];
ry(-0.05143364859656421) q[2];
ry(-0.0646021691668674) q[3];
ry(-0.022213673593317784) q[4];
ry(0.010704141821672404) q[5];
ry(-0.043579394267902055) q[6];
ry(-0.008453765643711352) q[7];
ry(0.03615552937354559... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIIZIIIZ",
"IIZIIIIZIIII",
"IIZIIIIIIIIZ",
"IIIIIIIIZIIZ",
"IIZIIIIIZIII",
"IIIIIIIZIIZI",
"IIZIIIIIIIZI",
"IIIIIIZZIIII",
"IIIIIIZIIIZI",
"IIIIIZIIIIZI",
"IIZIZIIIIIII",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIZIIII",
"IIZZIIIIIIII",
"IIIZIIIIZIII",
"IIIZIIIIIIZI",
"IIIZIIZII... | [
-0.5,
-1.5,
-0.75,
1.5,
-1.25,
-1.25,
-1.25,
-1.5,
-1,
-1.25,
-0.25,
-0.25,
-0.5,
-0.75,
-2,
-1.25,
-1.5,
-1,
-1.25,
-1.5,
-1.25,
-2.25,
-1.25,
-1,
-0.25,
-0.5,
-1.25,
-0.25,
-0.25,
-1.5,
4,
-0.25,
-0.5,
-1.25,
2.5,
-1.5,
-2,
-2.5,
-1.5,
... | 0.970152 | [
0.49810568043368086,
-0.025782428064184,
-0.05143364859656421,
-0.0646021691668674,
-0.022213673593317784,
0.010704141821672404,
-0.043579394267902055,
-0.008453765643711352,
0.036155529373545596,
-0.05218594703756067,
-0.18139448631585348,
-0.06708372909365962,
0.1066448366864993,
0.09567... | {
"n_parameters": 75,
"n_qubits": 12,
"optimal_eigenvalue": -29.75,
"target_ratio": 0.97,
"target_value": -28.857499999999998
} | 55 |
2d66a63516707ef6fa08689003d445e4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capaci... | {"states": [32, 31], "expectation_value": -0.13735632295771458, "params": [[0.0335, -0.0137, -0.06770000000000001], [-0.0466, -0.040100000000000004, 0.0538]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.018003827650991823, 0.018338159266567438], "optimization_time": 3.6068987... | -0.25 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.75 * Z(1) + 0.25 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.045249314476118775) q[0];
ry(-0.09669560328563567) q[1];
ry(-0.03838379751098028) q[2];
ry(0.014164474914697217) q[3];
ry(1.3425228774533042) q[4];
ry(-1.5424621818592792) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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": []} | [
"IZIIIZ",
"IZIIZI",
"IIIZZI",
"IZZIII",
"IIZIZI",
"ZIIIIZ",
"ZIIIZI",
"ZIIZII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-0.25,
-0.5,
-0.75,
-1,
-0.5,
0.5,
-0.5,
-0.5,
0.25,
-0.25,
0.75,
0.25,
-0.5,
-0.5
] | 0.975709 | [
-0.045249314476118775,
-0.09669560328563567,
-0.03838379751098028,
0.014164474914697217,
1.3425228774533042,
-1.5424621818592792,
0.042932205280697015,
0.41990295334686945,
-0.08410675703429009,
0.011798461387283209,
-0.05732375796055354,
-0.015000365546906917,
-0.27227999211895876,
0.0942... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 97 |
a617cd4648156ddc77f993201a7a952c | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [6, 7], "expectation_value": -13.54047465925617, "params": [[[0.3266, 0.28500000000000003], [0.3629, 0.28390000000000004], [0.3678, 0.2836], [0.3745, -0.2831], [0.38170000000000004, 0.28250000000000003], [0.8943000000000001, 0.0013000000000000002], [0.8964000000000001, 0.0012000000000000001], [0.8675, 0.0022... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 1 | 8 | 2 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.016051595018557085) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.016051595018557085) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.016051595018557085) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.016051595018557085) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
2.75,
2.75,
-7,
-7.25,
-7,
-7,
-7,
-6.25,
-6.25,
-6.75
] | 0.976479 | [
0.016051595018557085,
-0.044725556110224884,
-1.5942489739862034,
-1.511915062604028,
1.942486051428569,
1.7812596979441973,
-1.4758902744393279,
0.463896267873675,
0.4666780978923133,
-1.0713581426797705,
-2.0979600597052888,
1.374106261390757,
-0.36896266833425195,
0.11673470776900458,
... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 78 |
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": -9.792769444160383, "params": [-0.008, -0.0085, 0.008700000000000001, 0.0025, -0.0007, 0.0044, 0.1975, 0.19820000000000002, 0.0038, 0.0034000000000000002, 0.0032, 0.0066, 0.0047, 0.0017000000000000001, 0.0037, 0.0013000000000000002, 0.1582, 0.1683, 0.0026000000000000003, 0.0017... | -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... | 14 | 12 | 4 | {"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] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"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 |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [75, 77], "expectation_value": -1.3788498368261928, "params": [[[0.6567000000000001, 0.096], [0.2301, 0.054], [0.32480000000000003, -0.3267], [0.3719, 0.8034], [0.4384, 0.7887000000000001], [0.7815000000000001, 0.8029000000000001], [0.7961, 0.797]], [[0.6574, 0.3518], [0.0804, 0.5486], [0.8033, -0.7793], [0.... | 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)... | 15 | 7 | 2 | {"smallest_eigenvalues": [-3.125, -3.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.125, "smallest_bitstrings": ["0110010", "1010001"], "largest_eigenvalue": 5.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.8473521450627363) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.8473521450627363) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.042967194764701365) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(-0.8473521450627363) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZZII",
"IIZIZII",
"IIIZIIZ",
"IIZIIIZ",
"IZIIIIZ",
"IIZZIII",
"IZIZIII",
"IZZIIII",
"IIZZIIZ",
"IZIZIIZ",
"IZZIIIZ",
"IZZZIII",
"IZZZIIZ",
"ZZIIIII",
"ZIIIIZI",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
-0.125,
-0.5,
-0.5,
-0.125,
-0.125,
-0.125,
-0.5
] | 0.505615 | [
-0.8473521450627363,
-0.042967194764701365,
0.0646286253227127,
0.4276632086634684,
0.7850932252334482
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 131 |
1424095660941317171 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 3, 4, 6, 8, 9, 10], [8, 5, 7], [0, 1, 2, 3, 9, 10, 11], [0, 1, 2, 4, 5, 6, 8, 11], [0, 3, 4, 5, 10, 11], [0, 1, 2, 7, 9], [2, 3, 4, 5, 7, 9, 11], [0, 5, 7], [10, 5, 7], [0, 9, 2, 4], [0, 1, 2, 3, 5, 8, 9, 11], [8, 9, 2, 7], [0, 3, 4, 8, 9, 11], [2,... | {"states": [3994, 3995], "expectation_value": -3.790698369746401, "params": [[[3.1387, 0.0024000000000000002], [3.1439000000000004, 0.008400000000000001], [1.7392, 0.0055000000000000005], [3.1444, 0.0008], [3.1392, 0.0019], [0.48700000000000004, 0.0088], [0.4842, 0.0036000000000000003], [3.1396, 0.0028], [3.1446, 0.002... | 0.15119047619047618 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.1738095238095238 * (Z(3) @ Z(0)) + 0.03571428571428571 * (Z(4) @ Z(1)) + 0.18571428571428572 * (Z(4) @ Z(0)) + 0.14166666666666666 * (Z(4) @ Z(3)) + 0.05952380952380952 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.182142857142857... | 1 | 12 | 1 | {"smallest_eigenvalues": [-4.185714285714286], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.18095238095238, "smallest_bitstrings": ["000001100100"], "largest_eigenvalue": 18.999999999999986} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(3.181847516863592) q[0];
rz(-0.11762061582611918) q[0];
rx(3.018264107869293) q[1];
rz(-0.19670596939076018) q[1];
rx(2.5862956405607322) q[2];
rz(0.12180536944726755) q[2];
rx(3.3147322949068645) q[3];
rz(0.2016507406175438) q[3];
rx(3.2313368276034264) 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": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIIIZZIII",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IIIIIZIIZIII",
"IIIIIZIZIIII",
"IIIZIIIIIIZI",
"IIIZIIIIIIIZ",
"IIIZIIIIZIII",
"IIIZIIIZIIII",
"IIIZIZIIIIII",
"IIZIIIIIIIZI",
"IIZIIIIIIIIZ",
"IIZIIIIIZ... | [
0.15119047619047618,
0.08333333333333333,
0.1738095238095238,
0.03571428571428571,
0.18571428571428572,
0.14166666666666666,
0.05952380952380952,
0.08333333333333333,
0.18214285714285713,
0.06904761904761905,
0.05357142857142857,
0.11071428571428571,
0.1261904761904762,
0.10238095238095238... | 0.979447 | [
3.181847516863592,
-0.11762061582611918,
3.018264107869293,
-0.19670596939076018,
2.5862956405607322,
0.12180536944726755,
3.3147322949068645,
0.2016507406175438,
3.2313368276034264,
0.1274516832059966,
-0.09391133419217408,
-0.1124737577841995,
0.06271819191876538,
0.1912875302530536,
3... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -4.185714285714286,
"target_ratio": 0.97,
"target_value": -4.060142857142857
} | 9 |
5f517fa5ae2a3432c923e59e3a05558a | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1874, 850], "expectation_value": -53.989944934923344, "params": [1.5262, 0.0004, 2.2084, 0.0045000000000000005, 2.2047000000000003, 0.0071, 0.0031000000000000003, 0.007, 2.206, 0.0068000000000000005, 1.5213, 0.0076, 2.2069, 0.0019, -0.002, 0.006200000000000001, 1.1163, 0.0019, 2.2119, 0.006500000000000001, ... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(0) @ Z(2)) + 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(5) @ Z(2)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(4)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(9)) + 13.0 * Z(2) + 13.0 * Z(1) + 4.0 * Z(0) + -5.5 * Z(3) + 4.0 * Z(5) + 6.0 * Z(4) + -6.5 * Z(7) + 0.0 ... | 18 | 11 | 1 | {"smallest_eigenvalues": [-106.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -93.5, "smallest_bitstrings": ["10010101101"], "largest_eigenvalue": 121.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.16994973424940135) q[0];
rz(0.2775216426896572) q[0];
rx(1.8887375188806452) q[1];
rz(0.08197356623781005) q[1];
rx(1.5788900760682836) q[2];
rz(-0.010377961699079563) q[2];
rx(-0.10158285916532604) q[3];
rz(-0.4691987923148113) q[3];
rx(2.0443607474781675) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIZIIZII",
"IIIIIZZIIII",
"IIIZZIIIIII",
"IIZIIIZIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIZIIIIIII",
"IIIIZIIIIII",
"IIZIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
13,
13,
4,
-5.5,
4,
6,
-6.5,
0,
1,
8,
-3.5
] | 0.971614 | [
0.16994973424940135,
0.539563487062747,
1.8887375188806452,
0.08197356623781005,
1.5788900760682836,
-0.010377961699079563,
-0.10158285916532604,
-0.4691987923148113,
2.0443607474781675,
0.5762172557103358,
0.10482096508777929,
0.91300438299673,
1.979001436002169,
0.3162001105600847,
-0.... | {
"n_parameters": 63,
"n_qubits": 11,
"optimal_eigenvalue": -106.5,
"target_ratio": 0.97,
"target_value": -103.30499999999999
} | 24 |
fa12f3a697c97a90a7d75ad197dde7b9 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}]} | {"states": [37, 7], "expectation_value": -6.950769278611542, "params": null, "bitstrings": ["011010", "111000"], "total_optimization_steps": 55, "probabilities": [0.10567978594697186, 0.607881399029803], "optimization_time": 60.76670837402344} | 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)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 18 | 6 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.135653907332281) q[0];
ry(0.07785783286395775) q[0];
rz(-2.461338086738153) q[0];
rz(2.429152376567284) q[1];
ry(0.2252425377262643) q[1];
rz(-1.0510731615663547) q[1];
rz(-1.956988573421869) q[2];
ry(0.14605112814072668) q[2];
rz(0.30051180833493296) q[2];
rz(-3.0... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
1.75,
2,
2,
2,
2,
2,
1.75,
2,
2,
-0.75,
-0.75,
-0.75,
-0.25,
-0.25,
-0.25
] | 0.977057 | [
0.23599177523086315,
-0.24128829019517117,
0.08672641127394859,
0.5641813210321281,
0.02724449539707903,
-0.3809606943817887,
0.9600172844814231,
0.10376398558997606,
0.9072997747415072,
-0.031882398092854744,
0.9283660285539568,
-0.18778968286556685,
-0.0006073131649154268,
-0.03282407204... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 26 |
255f1dd604659bd35e94474fe8f5241d | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2... | {"states": [3, 47], "expectation_value": -5.565561851789761, "params": [[0.1312, -0.0687, -0.1448, -0.1563], [-0.1497, -0.138, 0.10830000000000001, 0.1567]], "bitstrings": ["1111100", "1010000"], "total_optimization_steps": 20, "probabilities": [0.06298654427625476, 0.0679481187974255], "optimization_time": 7.210433483... | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111100", "1010000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.37039925737107354) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.47479670208545194) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.002453439771768364) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.002453439771768364) 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIIZIZI",
"IIIZZII",
"IIZZIII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"ZIIIIIZ",
"ZIIZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.75,
-0.25,
-1,
-1,
-0.25,
-0.75,
-0.5,
-0.5,
-0.5,
-1,
-0.25,
2.25,
-1,
-0.75,
-0.25,
-0.25,
-1.75,
1,
-0.75,
1.5,
0.5
] | 0.901268 | [
-0.37039925737107354,
-0.47479670208545194,
0.002453439771768364,
0.007173938359176996,
0.28639303714208847,
-0.6771793472255276,
-0.758238898919597,
0.5277113036131329,
0.6196216232026848,
-1.587300313731966,
-0.5518085417301448,
-0.6707094486127311,
-0.0018169790026760502,
-0.12952360862... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 500 |
6ba4ec5ea3c91f3cfcc18a5393b7a297 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1925, 1413], "expectation_value": -93.52721921184403, "params": [[[0.7809, 0.0794], [0.6749, 0.039400000000000004], [1.4946000000000002, -0.0162], [1.5, -0.0016], [0.277, -0.0015], [-1.0362, -0.038400000000000004], [-0.0268, 0.0465], [0.18050000000000002, -0.6768000000000001], [-0.0864, 1.3266], [0.2524, 1.... | 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(0)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(10) @ Z(1)) + 6.5 * (Z(10) @ Z(8)) + 6.5 * (Z(9) @ Z(10)) + 18.5 * Z(0) + 15.0 * Z(2) + 16.... | 15 | 11 | 2 | {"smallest_eigenvalues": [-116.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -109.0, "smallest_bitstrings": ["01001111010"], "largest_eigenvalue": 215.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.4265987367397067) q[0];
ry(0.04295981700271047) q[1];
ry(1.6382323125683358) q[2];
ry(1.3759478376313663) q[3];
ry(-0.24354767916220774) q[4];
ry(-1.1466638860639022) q[5];
ry(-0.1605561666912404) q[6];
ry(-0.1488618297988371) q[7];
ry(0.09841383805360153) 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[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIZIZII",
"IIIIIIIZIIZ",
"IIIIIIZZIII",
"IIIZIIIIIIZ",
"IIIZIIIZIII",
"IIZIIIIIIZI",
"IIZZIIIIIII",
"ZIIIIIIIIZI",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIZIIIII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
18.5,
15,
16,
4.5,
16.5,
11.5,
12.5,
16,
-2,
-11,
-11
] | 0.981871 | [
0.4265987367397067,
0.04295981700271047,
1.6382323125683358,
1.3759478376313663,
-0.24354767916220774,
-1.1466638860639022,
-0.1605561666912404,
-0.1488618297988371,
0.09841383805360153,
0.05473960687236401,
1.59198750456796,
0.040403080218847386,
-0.031332797787198975,
0.03598578412407113... | {
"n_parameters": 43,
"n_qubits": 11,
"optimal_eigenvalue": -116,
"target_ratio": 0.97,
"target_value": -112.52
} | 40 |
0544aa413865c48491d65699e643b115 | 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": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target":... | {"states": [16, 272], "expectation_value": -17.17805080386236, "params": [-0.0038, -0.1859, -0.0037, 0.0035, 0.0026000000000000003, 0.2914, -0.0025, 0.009300000000000001, 0.8425, -0.7547, -0.9077000000000001, 0.0015, 0.0028, 0.1698, -0.0028, 0.009600000000000001, -0.0025, 0.2957, 0.0025, 0.0064, -0.0025, 0.3004, 0.0024... | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(0)) + -0.5 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(5)) + -0.75 * (Z(10) @ Z(0)) + -1.5 * (Z(10) @ Z(5)) + -0.5 * (Z(10) @ Z(9)) + 2.5 * (Z(2) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(8) @ Z(4)) + -1.0 * (Z(8) @ Z(5)) + -0.75 * (Z(8) @ Z(9)) + -0.75 * (Z(... | 5 | 11 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["11011101111"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.10240359585212226) q[0];
rz(1.3302177410417784) q[0];
rx(-0.2620852870181547) q[1];
rz(1.8873052422814744) q[1];
rx(0.9821980748600346) q[2];
rz(1.8483230141909894) q[2];
rx(0.0072547257662513775) q[3];
rz(1.7674552553228482) q[3];
rx(-0.09404379486150899) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIIIZIIIIZ",
"IZIIIIIIIIZ",
"IZIIIZIIIII",
"ZIIIIIIIIIZ",
"ZIIIIZIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZIZ",
"IIIIIIZIIZI",
"IIZIIIZIIII",
"IIZIIZIIIII",
"IZZIIIIIIII",
"ZIZIIIIIIII",
"IIZIIIIIZII",
"IIZIIIIIIZI",
"IIIIIIZZIII",
"ZIIIIIIZIII",
"IIIIIIIZZ... | [
-0.25,
-0.75,
-0.75,
-0.5,
-0.25,
-0.75,
-1.5,
-0.5,
2.5,
-0.75,
-0.25,
-1,
-0.75,
-0.75,
-1,
-0.25,
-0.25,
-0.5,
-1,
-0.75,
-0.5,
-1,
-0.75,
-0.75,
-0.75,
-0.75,
-0.5,
-1,
0.75,
-0.25,
0.75,
-0.75,
0.25,
-0.5,
-0.5,
1,
0.75,
-3,
1.5
] | 0.976164 | [
-0.10240359585212225,
-0.2405785857531187,
-0.2620852870181547,
0.31650891548657684,
0.9821980748600347,
0.2775266873960926,
0.007254725766251378,
0.19665892852795153,
-0.09404379486150899,
0.8099592629327698,
-0.22671494835720618,
0.689265189554137,
-0.12786572473648772,
-0.18503891203637... | {
"n_parameters": 103,
"n_qubits": 11,
"optimal_eigenvalue": -18,
"target_ratio": 0.97,
"target_value": -17.46
} | 86 |
d2e3f71e5c020057da0dd1812bdf6517 | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 20, "source": 0, "target": 2}, {"weight": 6, "source": 1, "target": 2}, {"weight": 15, "source": 1, "target... | {"states": [8, 9], "expectation_value": -0.011933735859736977, "params": [[[1.6427, 0.006200000000000001], [1.4876, 0.003], [1.4814, 0.0027], [1.6375000000000002, 0.0081]]], "bitstrings": ["0111", "0110"], "total_optimization_steps": 170, "probabilities": [0.0737719800154592, 0.08430036401336324], "optimization_time": ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": 0.0, "smallest_bitstrings": ["1001", "0110"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.1661276350304126) q[0];
rz(0.1368317091350482) q[0];
ry(0.04120953092979138) q[1];
rz(0.6237278116787298) q[1];
cz q[1], q[0];
ry(0.8639209804903288) q[0];
rz(-0.20514548926058004) q[0];
ry(0.1701074616062198) q[1];
ry(0.11262869094573309) q[2];
rz(0.3181473576708... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[4] c;
qubit[4] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q[2];
rz(x5) q[2];
rx(x6) q[3];
rz(x7) q[... | {"start_node": 0, "end_node": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZIZ",
"ZIZI",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0
] | 0.975208 | [
1.1661276350304126,
0.1368317091350482,
0.04120953092979138,
0.6237278116787298,
0.11262869094573309,
0.3181473576708103,
0.734978694415438,
-0.2651028550205645,
-0.11298443044296277,
-0.5003240831397697,
0.31670140934387114,
0.2559084340847741,
0.0720191758938528,
0.2177008887266607,
0.... | {
"n_parameters": 181,
"n_qubits": 16,
"optimal_eigenvalue": -13.999999999999932,
"target_ratio": 0.97,
"target_value": -13.579999999999934
} | 75 |
20a60ed013bc1976376f734be7d8d92c | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [146, 150], "expectation_value": -0.08602623600182913, "params": [0.2989, 0.0032, 0.2877, 0.0233, 0.28200000000000003, -0.0459, 0.259, -0.0483, 0.253, 0.0463, 0.21130000000000002, 0.0533, 0.302, -0.011600000000000001, 0.2995, -0.01, 0.2878, -0.058100000000000006, 0.2644, -0.0585, 0.2959, 0.0135, 0.2835000000... | 0.25 * (Z(0) @ Z(1)) + -0.0015625 * (Z(2) @ Z(0)) + -0.0015625 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0015625 * (Z(4) @ Z(0)) + -0.0015625 * (Z(4) @ Z(2)) + 0.0015625 * (Z(5) @ Z(1)) + -0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0015625 * (Z(6) @ Z(0)) + 0.0015625 * (Z(6) @ Z(2)) + -0.0015625 * (Z(6) @ Z... | 6 | 8 | 3 | {"smallest_eigenvalues": [-1.00625, -1.00625, -1.00625, -1.00625, -1.00625, -1.00625], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["10100101", "10101010", "01011010", "01010101", "10010110", "01101001"], "largest_eigenvalue": 1.01875} | 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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIIIZ",
"IZIIIZII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
0.25,
-0.0015625,
-0.0015625,
0.25,
0.0015625,
-0.0015625,
0.0015625,
-0.0015625,
0.25,
-0.0015625,
0.0015625,
-0.0015625,
-0.0015625,
0.0015625,
-0.0015625,
0.25,
-0.0015624999999999944,
-0.0015624999999999944,
-0.0015624999999999944,
-0.0015624999999999944,
-0.0015624999999... | 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 |
41de7801c50967375c7a02d55d1f16ad | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "targ... | {"states": [16367, 16335], "expectation_value": -20.585235947422984, "params": [[[-0.0028, 2.7081], [-0.0035, -0.0028], [-0.0031000000000000003, -0.0032], [-0.003, -0.003], [-0.0033, -0.0032], [-0.0028, -0.003], [-0.0018000000000000002, -0.0023], [-0.0025, 0.0019], [-1.6447, -0.0027], [1.6556000000000002, -0.0023], [-0... | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(9)) + -1.5 * (Z(10) @ Z(13)) + 0.... | 15 | 14 | 1 | {"smallest_eigenvalues": [-22.499999999999954], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.49999999999986, "smallest_bitstrings": ["00000000110000"], "largest_eigenvalue": 23.500000000000153} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
ry(0.053607847693672835) q[0];
ry(-0.21333555512629132) q[1];
ry(0.09952079288989843) q[2];
ry(-0.025559846441368213) q[3];
ry(0.11482065148374877) q[4];
ry(0.053607847693672835) q[5];
ry(-0.07460035636805756) q[6];
ry(0.2946466752935547) q[7];
ry(-2.4980073498596065) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIIIIIIIZZ",
"IIIIIIIIIIIZZI",
"IIIIIIIIIIIZIZ",
"IIIIIIIIIIZIZI",
"IIIIIIIIIIZIIZ",
"IIIIIIIIIIZZII",
"IIIIIIIIZZIIII",
"IIIIIIIZZIIIII",
"IIIIIIIZIZIIII",
"IIIIIIZIZIIIII",
"IIIIIIZIIZIIII",
"IIIIIIZZIIIIII",
"IIIIZZIIIIIIII",
"ZIIZIIIIIIIIII",
"ZIZIIIIIIIIIII",
"ZZIIIIIIIIIIII"... | [
-2,
0.5,
-2,
0.5,
-2,
-1.5,
-2,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
-1.5,
0.5,
-2,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5
] | 0.970213 | [
0.053607847693672835,
-0.21333555512629132,
0.09952079288989843,
-0.025559846441368213,
0.11482065148374877,
-0.07460035636805756,
0.2946466752935547,
-2.4980073498596065,
2.1506120316377104,
-0.04109397650201918,
-0.07211145315702079,
3.182790784617974,
0.043726058979468185,
-0.0299016678... | {
"n_parameters": 17,
"n_qubits": 14,
"optimal_eigenvalue": -22.499999999999954,
"target_ratio": 0.97,
"target_value": -21.824999999999953
} | 22 |
29c6591e264906b86f7681b957d10de4 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3},... | {"states": [1784, 1656], "expectation_value": -13.652901929113067, "params": [[0.1188], [-0.3442]], "bitstrings": ["00100000111", "00110000111"], "total_optimization_steps": 40, "probabilities": [0.012208938518292191, 0.012605973844578509], "optimization_time": 3.6875159740448} | -2.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + -2.5 * (Z(7) @ Z(0)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(5)) + -2.5 * (Z(1) @ Z(7)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + -2.5 ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-33.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.0, "smallest_bitstrings": ["00110000111"], "largest_eigenvalue": 33.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.7348871727095009) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(-0.16669976764313485) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(-0.7348871727095009) q[5];
cx q[0], q[5];
h q[6];
h q[7];
cx q[4], q[7];
rz(-0.166... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIIIZIIIIZ",
"IIIZIIZIIII",
"IIIZIIIIIIZ",
"IIIZIZIIIII",
"IIIIIIZIIZI",
"IIIIIIIIIZZ",
"IIIIIZIIIZI",
"IIIZIIIIIZI",
"IIIIZIZIIII",
"IIIIZIIIIIZ",
"IIIIZZIIIII",
"IIIZZIIIIII",
"IIIIZIIIIZI",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"ZIZIIIIIIII",
"IZIIIIIIZ... | [
-2.5,
0.5,
-2.5,
0.5,
-2.5,
-2,
0.5,
1,
-2.5,
-2.5,
-2,
0.5,
0.5,
0.5,
-2.5,
1,
-3,
-3,
1,
1,
-3,
0.5,
0.5,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
-2.5,
-2,
1
] | 0.560328 | [
-0.7348871727095009,
-0.16669976764313485,
-1.1519840770234089,
-0.04940370997314271,
-0.3004635939564386,
-1.0853059572378492
] | {
"n_parameters": 6,
"n_qubits": 11,
"optimal_eigenvalue": -33,
"target_ratio": 0.97,
"target_value": -32.01
} | 157 |
2354991019913608273 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 5, 6, 7, 8], [4, 7], [0, 2, 3, 5, 6], [8, 1, 2]]} | {"states": [476, 252], "expectation_value": -0.8669610582063936, "params": [[0.9553], [-0.40490000000000004]], "bitstrings": ["000100011", "100000011"], "total_optimization_steps": 100, "probabilities": [0.00994162442618993, 0.009941624426189934], "optimization_time": 3.9050815105438232} | 0.05 * (Z(1) @ Z(5)) + 0.1 * (Z(6) @ Z(5)) + 0.05 * (Z(6) @ Z(1)) + 0.05 * (Z(7) @ Z(5)) + 0.05 * (Z(7) @ Z(1)) + 0.05 * (Z(7) @ Z(6)) + 0.05 * (Z(8) @ Z(5)) + 0.21666666666666667 * (Z(8) @ Z(1)) + 0.05 * (Z(8) @ Z(6)) + 0.05 * (Z(8) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.05 * (Z(0) @ Z(5)) + 0.05 * (Z(0) @ Z(6)) + 0.05 * (... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.2333333333333336, -1.2333333333333336, -1.2333333333333336, -1.2333333333333336, -1.2333333333333336, -1.2333333333333336], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.2333333333333334, "smallest_bitstrings": ["100010001", "100010101", "110011000", "100000011", "10001100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(0.09963840978166966) q[1];
cx q[5], q[1];
h q[6];
cx q[5], q[6];
rz(0.14769951965923347) q[6];
cx q[5], q[6];
cx q[1], q[6];
rz(0.09963840978166966) q[6];
cx q[1], q[6];
h q[7];
cx q[5], q[7];
rz(0.099638... | 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[5],... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZI",
"IIZZIIIII",
"IIZIIIIZI",
"IZIZIIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIZIIIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"ZZIIIIIII",
"IZIIZIIII",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIIZIIZII",
"IIIIIIZZI",
"IIZIIIZII",
"ZIIIIIZII",
"IIIIIIZIZ",
"IIIZIZIII",
"IIZIIZIII",
"IIIIIZIIZ",
"... | [
0.05,
0.1,
0.05,
0.05,
0.05,
0.05,
0.05,
0.21666666666666667,
0.05,
0.05,
0.5,
0.05,
0.05,
0.05,
0.16666666666666666,
0.05,
0.16666666666666666,
0.05,
0.05,
0.05,
0.05,
0.05,
0.19999999999999996,
0.26666666666666666,
0.19999999999999996,
0.09999999999999998,
0.266... | 0.829765 | [
0.09963840978166966,
0.14769951965923347,
0.7491890137108475,
1.5577286905068364,
0.2946263014107012,
1.3365138897130198,
0.5439068798885536,
-0.1510687982192866,
-0.8122069082043243
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -1.2333333333333336,
"target_ratio": 0.97,
"target_value": -1.1963333333333335
} | 203 |
dc8ac5f82febba9dcace181eb5c76eb3 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": ... | {"states": [58, 102], "expectation_value": -2.8905700275954436, "params": null, "bitstrings": ["1000101", "0011001"], "total_optimization_steps": 42, "probabilities": [0.08381860736615872, 0.6201950117718926], "optimization_time": 57.27805972099304} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ 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(1) @ Z(3)) + -0.125 * (Z(1) @ Z(3) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["0011001", "1000101"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.009159858931667007) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.009159858931667007) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.009159858931667007) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.009159858931667007) q[4];
c... | 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[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",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"IIZZIII",
"IZIZIII",
"IZZIIII",
"IIZZIZI",
"IZIZIZI",
"IZZIIZI",
"IZZZIII",
"IZZZIZI",
"IIZIZII",
"ZZIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZII... | [
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,
0.5,
0.5,
-0.25,
0.125,
-0.25,
-0.125,
-0.125,
-0.125,
-1
] | 0.813356 | [
0.009159858931667007,
0.12494940013551502,
-0.9996743752342083,
-1.0785898614158156,
0.2672658208067165,
1.0891742212764537,
-1.2802161128055969,
0.024697662159371404,
0.6853541264808383,
-0.33614577142982505,
-0.6001841465958335,
0.46393008337570263,
0.1161236905431224,
-0.536284086667138... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 415 |
c5d57071b024d109c38c43678d62eaf1 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}]} | {"states": [40, 56], "expectation_value": -2.096043003591151, "params": [0.8037000000000001, 0.0035, 0.7998000000000001, 0.0035, 0.8049000000000001, 0.002, 0.0023, 0.5948, 0.0024000000000000002, 0.5897, 0.0024000000000000002, 0.5958, 0.8095, 0.0014, 0.808, 0.0047, 0.8081, 0.005200000000000001, 0.0023, 0.007200000000000... | 0.9 * (Z(0) @ Z(1)) + 1.8 * (Z(2) @ Z(1)) + 0.9 * (Z(2) @ Z(0)) + -0.1 * (Z(3) @ Z(4)) + -0.2 * (Z(5) @ Z(4)) + -0.1 * (Z(5) @ Z(3)) + 4.5 * Z(1) + 2.25 * Z(0) + 4.5 * Z(2) + -0.5 * Z(4) + -0.25 * Z(3) + -0.5 * Z(5) | 18 | 6 | 2 | {"smallest_eigenvalues": [-9.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.4, "smallest_bitstrings": ["000111"], "largest_eigenvalue": 15.700000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.770690699219718) q[0];
h q[1];
ry(1.4871712470846223) q[1];
ry(-2.708001184483433) q[2];
rz(-pi) q[2];
cx q[1], q[2];
ry(-0.4298731353811252) q[2];
cx q[1], q[2];
cx q[1], q[0];
ry(-0.770690699219718) q[0];
cx q[1], q[0];
ry(0.1454074864826947) q[0];
ry(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": 2} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZZIII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.9,
1.8,
0.9,
-0.1,
-0.2,
-0.1,
4.5,
2.25,
4.5,
-0.5,
-0.25,
-0.5
] | 0.998049 | [
0.707331722307411,
1.4871712470846223,
0.8597462707622504,
-1.3799562985781975,
-1.4711756176015598,
1.541381398439436,
-1.3965271552689695,
-0.16148817852256322,
-0.2575056935640775,
0.2663957319896916,
-0.1803796305048725,
0.0016697777359003935,
-0.24197649101399368
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -9.3,
"target_ratio": 0.97,
"target_value": -9.021
} | 1 |
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