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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
7bb4e9311a4b1c79acbcb41daabf8d2d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [119, 103], "expectation_value": -51.347586018457825, "params": [0.2233, 0.31520000000000004, 0.7851, -0.0021000000000000003, 0.7899, 0.112, 0.36610000000000004, 0.2394, 0.1872, -0.324, 0.7809, 0.0043, 0.7873, -0.0036000000000000003, 0.788, 0.12040000000000001, 0.2149, 0.3084, 0.7883, 0.0102, 0.7882, 0.1144,... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(4) @ Z(6)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(7) @ Z(4)) + 12.0 * Z(1) + 4.5 * Z(0) + 8.5 * Z(2) + 10.0 * Z(3) + 15.5 * Z(6) + 3.5 * Z(4) + 13.0 * Z(5) + 6.0 *... | 18 | 8 | 4 | {"smallest_eigenvalues": [-59.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.0, "smallest_bitstrings": ["10011000"], "largest_eigenvalue": 128.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.05173900634195916) q[0];
rz(0.58879178556883) q[0];
rx(0.4224756712674274) q[1];
rz(0.1279791015839078) q[1];
rx(1.0745757970753056) q[2];
rz(0.30196146985392347) q[2];
rx(0.15895481621225366) q[3];
rz(0.400375273282099) q[3];
rx(-0.09058473237410516) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IZIZIIII",
"IIZIIIZI",
"IIZIZIII",
"IZZIIIII",
"ZZIIIIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
12,
4.5,
8.5,
10,
15.5,
3.5,
13,
6
] | 0.982937 | [
-0.05173900634195916,
0.2658921660042402,
0.4224756712674274,
0.1279791015839078,
1.0745757970753056,
0.30196146985392347,
0.15895481621225366,
0.400375273282099,
-0.09058473237410516,
-0.46121008959565424,
0.7592405280847245,
-0.11855043341875868,
0.880388338632661,
-0.06657601468685564,
... | {
"n_parameters": 92,
"n_qubits": 8,
"optimal_eigenvalue": -59,
"target_ratio": 0.97,
"target_value": -57.23
} | 8 |
-2967511182053951740 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4, 5], [2, 4], [1, 4, 5, 6], [0, 1, 3], [0, 5], [2, 3, 5]]} | {"states": [46, 59], "expectation_value": -0.8886547429498658, "params": [[0.46740000000000004], [-0.3966]], "bitstrings": ["1010001", "1000100"], "total_optimization_steps": 50, "probabilities": [0.02617111663457606, 0.026786220272133683], "optimization_time": 1.7292428016662598} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(5)) + 0.08333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.9166666666666665, -1.9166666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.8333333333333335, "smallest_bitstrings": ["1010001", "1000100"], "largest_eigenvalue": 4.999999999999999} | 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[3];
rz(0.004554705446466444) q[3];
cx q[4], q[3];
h q[5];
cx q[4], q[5];
rz(0.002646402352526943) q[5];
cx q[4], q[5];
cx q[3], q[5];
cx q[4], q[2];
rz(1.5523342611046829) q[2];
cx q[4], q[2];
cx q[4], q[1];
rz(0.021368... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[3];
rz(x0) q[... | null | {"circuits": [], "gradients": []} | [
"IIZZIII",
"IZZIIII",
"IZIZIII",
"IIZIZII",
"IIIZZII",
"IZIIZII",
"IIZIIZI",
"IIIZIZI",
"IZIIIZI",
"ZIZIIII",
"ZZIIIII",
"ZIIIIZI",
"IIIZIIZ",
"IZIIIIZ",
"IIIIIZZ",
"IIZIIII",
"IIIZIII",
"IZIIIII",
"IIIIZII",
"IIIIIZI",
"ZIIIIII",
"IIIIIIZ"
] | [
0.16666666666666666,
0.25,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.29166666666666663... | 0.770039 | [
0.004554705446466444,
0.002646402352526943,
0.004686508863234742,
1.5523342611046829,
0.021368359475629567,
0.29835834754634855,
0.0012820164314385459,
1.5391827868178949,
-0.8805365998579661
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -1.9166666666666665,
"target_ratio": 0.97,
"target_value": -1.8591666666666664
} | 224 |
b870bf177a3da6a6ab4722ca2196f1d4 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [5759, 5247], "expectation_value": -2.933239229408788, "params": [1.5803, 1.5775000000000001, 0.0031000000000000003, 0.0031000000000000003, 1.1998, 1.1811, 0.6960000000000001, 0.6783, 0.1562, 0.1587, 0.22, 0.2197, 0.9763000000000001, 0.9772000000000001, 1.5846, 1.5810000000000002, 1.5873000000000002, 1.5846,... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(2) @ Z(8)) + 0.0625 * (Z(5) @ Z(6)) + 0.0625 * (Z(5) @ Z(7)) + 0.0625 * (Z(5) @ Z(8)) + 0.0625 * (Z(6) @ Z(7)) ... | 13 | 13 | 1 | {"smallest_eigenvalues": [-3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.9... | 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... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIZZII",
"IIIIIIIIZIZII",
"IIIIIIIIZZIII",
"IIIIIIIIZZZII",
"IIIIIIIZIIZII",
"IIIIIIZIIIZII",
"IIIIIZIIIIZII",
"IIIIZIIIIIZII",
"IIIIIIZZIIIII",
"IIIIIZIZIIIII",
"IIIIZIIZIIIII",
"IIIIIZZIIIIII",
"IIIIZIZIIIIII",
"IIIIZZIIIIIII",
"IIIIIIZZIIZII",
"IIIIIZIZIIZ... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.25,... | 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 |
fbbd8eb0c295edadedab0040e35f46b9 | 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": [378, 370], "expectation_value": -98.56131574061655, "params": [0.0023, 0.0017000000000000001, -0.0018000000000000002, 0.0053, 2.6005000000000003, 0.0014, 0.003, 0.0051, 2.5993, 0.0053, 2.5988, 0.0017000000000000001, 2.6069, 0.0059, 1.5570000000000002, 0.0059, 0.0029000000000000002, 0.0018000000000000002, 2.... | 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(1) @ Z(6)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(7) @ Z(5)) + 7.5 * (Z(4) @ Z(6)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(4) @ Z(7)) + 7.5 * (Z(9) @ Z(2)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(10) @ Z(4)) + -6.5 * Z(3) + 9.0 * Z(2) + 23.0 * Z(6) + -4.5 * Z(1) + 14.5 * Z(5) + 10.5 * Z... | 18 | 11 | 1 | {"smallest_eigenvalues": [-117.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -112.5, "smallest_bitstrings": ["11010001101"], "largest_eigenvalue": 162.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.4267263955014178) q[0];
ry(0.02301220187845336) q[1];
ry(1.6035277181185734) q[2];
ry(-0.03340657313318903) q[3];
ry(1.882999607989855) q[4];
ry(0.395012404474026) q[5];
ry(-1.8542496832858695) q[6];
ry(0.002633278130645702) q[7];
ry(3.3819328507721846) q[8];
ry(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIIIIIZZII",
"IIIIZIIIIZI",
"IIIIZZIIIII",
"IIIZZIIIIII",
"IIIZIZIIIII",
"IIIIZIZIIII",
"IIIIIZZIIII",
"IIIZIIZIIII",
"IZIIIIIIZII",
"IZZIIIIIIII",
"ZIIIIIZIIII",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIZIIIIII",
"IIIIIIIIIZI",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIIIIIZIIII",
"IZIIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
-6.5,
9,
23,
-4.5,
14.5,
10.5,
22,
7,
-3,
-4,
-12
] | 0.972413 | [
1.4267263955014178,
0.02301220187845336,
1.6035277181185734,
-0.03340657313318903,
1.882999607989855,
0.395012404474026,
-1.8542496832858695,
0.002633278130645702,
3.3819328507721846,
0.11784818941466907,
1.1258832213656946,
0.18710649863280168,
0.20382089100836806,
0.6970976327636124,
0... | {
"n_parameters": 38,
"n_qubits": 11,
"optimal_eigenvalue": -117.5,
"target_ratio": 0.97,
"target_value": -113.975
} | 18 |
89c7521d0f4383e77e73ec35feb14209 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 8, "source": 0, "t... | {"states": [100, 109], "expectation_value": -13.559284827424028, "params": null, "bitstrings": ["10011011", "10010010"], "total_optimization_steps": 100, "probabilities": [0.06131949519475524, 0.07138055406590552], "optimization_time": 142.337055683136} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 8.5 * Z(0) + 11.0 * Z(2) + 13.0 * Z(1) + 2.0 * Z(3) + 7.5 * Z(4) + 12.5 * Z(5)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-60.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 123.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(1.525456717572838e-08) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(1.525456717572838e-08) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(1.525456717572838e-08) q[1];
cx q[2], q[1];
h q[3];
cx q[1], q[3];
rz(1.525456717572838e-08) q[3];
cx q[... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(63.0918) 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... | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIZZIII",
"IIZIIIIZ",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
8.5,
11,
13,
2,
7.5,
12.5,
7.5,
11.5
] | 0.866667 | [
1.525456717572838e-8,
-1.5707962774125008,
1.5707963024967688,
1.570796304761946,
-1.5707963129315194,
1.5707963204272015,
1.570796296373383,
-1.5707963391592898,
-1.5707963344480793
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -60,
"target_ratio": 0.97,
"target_value": -58.199999999999996
} | 248 |
12ada348b9c11023d80d21b40d9fce6b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "so... | {"states": [13, 5], "expectation_value": -3.483201511982002, "params": null, "bitstrings": ["10010", "11010"], "total_optimization_steps": 26, "probabilities": [0.281083815520102, 0.42032312287331425], "optimization_time": 13.844328880310059} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.5 * Z(4) + 1.0 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["11110", "11010"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.421275234044104) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.08975213145237756) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.2466738875561171) q[3];
cx q[0], q[3];
rz(-0.7548770243522678) q[3];
rx(-1.1727560892462083) q[3]... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"IIZZI",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
-0.5,
-1,
-0.25,
-0.5,
1,
-1,
-0.5,
-0.25,
-0.75,
0.5,
1
] | 0.970009 | [
-0.421275234044104,
-0.08975213145237756,
-0.2466738875561171,
0.2764818189504322,
-0.754877024352268,
-0.039697426295050006,
-1.1727560892462083,
-0.6047490633200694,
-0.04582608500570343,
-0.35589128305044065,
0.4950866191469228,
-0.3850968734273578,
1.0521907678224391,
-1.08956021545216... | {
"n_parameters": 28,
"n_qubits": 5,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 132 |
-8764964446550249972 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 6], [0, 8], [8, 1], [4, 5], [4, 7], [5, 6], [8, 2, 4], [0, 1], [3, 6], [1, 5], [8, 7], [3, 7], [1, 7]]} | {"states": [181, 149], "expectation_value": -3.976703274048921, "params": null, "bitstrings": ["101001010", "101101010"], "total_optimization_steps": 80, "probabilities": [0.1217385490848292, 0.7107119313574063], "optimization_time": 160.71055030822754} | 0.5 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.333333333333332, -4.333333333333332], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.9999999999999996, "smallest_bitstrings": ["101101010", "101001010"], "largest_eigenvalue": 7.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.6047782631922215) q[0];
h q[1];
ry(0.7619063421423953) q[1];
h q[2];
ry(-0.6685816840112726) q[2];
h q[3];
ry(-0.2807215891037129) q[3];
h q[4];
h q[5];
ry(-0.664247326780961) q[5];
h q[6];
ry(0.6877074322520867) q[6];
h q[7];
ry(-0.38940709313276306) q[7]... | 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[8], 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];\n... | [
"IIZIIIZII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIIIIIIZZ",
"IIIIZIZII",
"ZIIIZIIII",
"IIZZIIIII",
"IIIZIIIZI",
"IIIZZIIII",
"ZZIIIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"IIZIIZIII",
"IZIIIZIII",
"IIZIIIIII",
"IIIIIIZII",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"... | [
0.5,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0.16666666666666663,
0.16666666666666652,
0,
0,
0.16666666666666652,
0,
0,
0
] | 0.97421 | [
-0.7788141862655261,
1.3046638586343338,
-1.209556526384443,
-0.1757115551482692,
1.5954079582289928,
-1.328494653561922,
1.5238126842847906,
-0.7617383100053831,
1.3754148645041735,
-1.3371633680225452,
-0.44119639418199863,
0.030097627866582,
-0.1978947051819704,
0.3060710828029376,
0.... | {
"n_parameters": 60,
"n_qubits": 9,
"optimal_eigenvalue": -4.333333333333332,
"target_ratio": 0.97,
"target_value": -4.203333333333332
} | 30 |
406770799011758457 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 3, 7], [1, 2, 3, 5, 6], [0, 2, 3, 5, 6], [3, 4], [0, 1, 3, 6, 7], [1, 2, 5, 7], [0, 1, 5], [0, 4], [0, 3, 5, 6, 7], [2, 3, 5, 7], [4, 5]]} | {"states": [149, 181], "expectation_value": -3.056178280344817, "params": null, "bitstrings": ["01101010", "01001010"], "total_optimization_steps": 40, "probabilities": [0.20412224414107716, 0.6642762031901864], "optimization_time": 57.4529013633728} | 0.26666666666666666 * (Z(0) @ Z(1)) + 0.18333333333333335 * (Z(2) @ Z(1)) + 0.1 * (Z(2) @ Z(0)) + 0.15000000000000002 * (Z(3) @ Z(1)) + 0.2 * (Z(3) @ Z(0)) + 0.23333333333333334 * (Z(3) @ Z(2)) + 0.18333333333333335 * (Z(7) @ Z(1)) + 0.15000000000000002 * (Z(7) @ Z(0)) + 0.21666666666666667 * (Z(7) @ Z(2)) + 0.23333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.083333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.05, "smallest_bitstrings": ["01001010"], "largest_eigenvalue": 9.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016115017292070332) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.519309030628585) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.048507414161600655) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.07296474686482143) q[3];
cx q[1], q[... | 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(1.5423) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"ZIZIIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"ZZIIIIII",
"IZZIIIII",
"IIIZIIIZ",
"IIIZZII... | [
0.26666666666666666,
0.18333333333333335,
0.1,
0.15000000000000002,
0.2,
0.23333333333333334,
0.18333333333333335,
0.15000000000000002,
0.21666666666666667,
0.23333333333333334,
0.3,
0.26666666666666666,
0.26666666666666666,
0.23333333333333334,
0.21666666666666667,
0.1,
0.1500000000... | 0.975863 | [
-0.016115017292070332,
0.519309030628585,
-0.048507414161600655,
0.07296474686482143,
-0.0016387769318307113,
0.04329637792869298,
0.06698070195919685,
-0.23478665590269804,
0.0023558000277646377,
-1.4199282856580335,
1.5051994801754602,
1.7012208268879632,
1.5518238699987328,
1.3999007969... | {
"n_parameters": 17,
"n_qubits": 8,
"optimal_eigenvalue": -3.083333333333333,
"target_ratio": 0.97,
"target_value": -2.990833333333333
} | 73 |
68c7da6fdb681219b05150137870d7db | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}]} | {"states": [5, 1], "expectation_value": -0.5571881732924415, "params": [[0.0753, 0.061500000000000006, 0.0675], [-0.0784, -0.0521, -0.0519]], "bitstrings": ["1010", "1110"], "total_optimization_steps": 10, "probabilities": [0.09263491315811066, 0.10377283461561904], "optimization_time": 1.2791407108306885} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.25 * Z(3) | 1 | 4 | 3 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1110"], "largest_eigenvalue": 4.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.4747694771302854) q[0];
cx q[1], q[0];
rz(0.4747694771302853) q[1];
rx(1.6040217911993713) q[1];
h q[2];
cx q[0], q[2];
rz(0.2577776396192456) q[2];
cx q[0], q[2];
rz(0.2577776396192455) q[2];
rx(1.6040217911993713) q[2];
h 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] 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[4] c;
qubit[4] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZIZ",
"ZIIZ",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
-0.25,
-0.75,
1.25,
-0.25,
-0.25,
-0.75,
1.25
] | 0.97003 | [
0.4747694771302854,
0.2577776396192456,
-0.24792115441309612,
1.6040217911993713,
0.6580701942906415,
0.4924019843505966,
-0.4259244675879271,
0.9035120634644073,
0.1777470916142513,
0.29049043206086195,
-0.40365758275486097,
0.5898445102530697,
0.6900131868427873,
0.7498956364737696,
-0... | {
"n_parameters": 16,
"n_qubits": 4,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 121 |
e0dccd63ccb6f94570f2b46361c692e0 | 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": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "s... | {"states": [33, 161], "expectation_value": -4.555431190864384, "params": [[[-0.0024000000000000002, 2.0995], [0.8449000000000001, 0.0015], [-0.0027, 1.8772], [1.5664, 0.0033], [0.0043, 2.1063], [-0.0028, 1.8617000000000001], [-0.003, 1.9824000000000002], [0.0044, 2.0273], [1.5712000000000002, -0.0021000000000000003]], ... | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(3)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.75 * Z(... | 1 | 9 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["101011010", "101011100", "101011110", "101001110", "101001000", "101001100", "101001010", "101011000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(0.05839614278337155) q[0];
rz(pi/2) q[0];
ry(0.007699594208596339) q[1];
ry(0.6368929387613436) q[2];
ry(-0.305948830476148) q[3];
ry(0.8279255936715874) q[4];
ry(0.6687371386581469) q[5];
ry(0.6083275044008217) q[6];
ry(-0.030249047403171775) q[7];
ry(0.73392389059... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIZIIZII",
"IIIZIIIZI",
"IIZIIIZII",
"IIZIIZIII",
"IIZIIIIZI",
"IIZZIIIII",
"IIIIZZIII",
"IZIIIZIII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIZIIIIII",
"IIIIZIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
0.75,
-0.5,
0,
-0.25,
0.75,
0.75,
-1,
0,
-0.25,
-0.25,
0.25
] | 0.970135 | [
0.05839614278337155,
0.007699594208596339,
0.6368929387613436,
-0.305948830476148,
0.8279255936715874,
0.6687371386581469,
0.6083275044008217,
-0.030249047403171775,
0.7339238905999639,
0.40545979371793645,
0.47414350168779645,
1.0184967181303088,
-0.11619730788514432,
0.1838879214229425,
... | {
"n_parameters": 168,
"n_qubits": 15,
"optimal_eigenvalue": -15.749999999999945,
"target_ratio": 0.97,
"target_value": -15.277499999999947
} | 37 |
e7f52f1e4ef4212454d9db0ad93f1bd0 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 3, "s... | {"states": [256, 255], "expectation_value": -0.09791492772145403, "params": [[-0.0374], [0.044000000000000004]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.002116769335981805, 0.0021293797108739377], "optimization_time": 2.138495445251465} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + -0.75 * (Z(4) @ Z(5)) + -0.75 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(8)) + -0.75 * (Z(7) @ Z(4)) + -0.25 * Z(3) + -0.25 * Z(0) + 1.0 * Z(1) + 0.25 * Z(5) + -1.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["100000000", "101000100", "100000100"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.03957831505921227) q[0];
ry(0.006130189286134036) q[1];
ry(-0.017929317053648544) q[2];
ry(0.12712730696602598) q[3];
ry(-0.017929317053648544) q[4];
ry(-0.06909810885548867) q[5];
ry(0.16499459908876507) q[6];
ry(0.1104908148870137) q[7];
ry(2.761911007049986) 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[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIZIIIZI",
"IIZIIIZII",
"ZIIIIZIII",
"ZIIIIIIIZ",
"IIIZZIIII",
"IZZIIIIII",
"IZIIIIZII",
"ZZIIIIIII",
"IZIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIZIIIII",
"IIZIIIIII",
"IIIIIIZII",
"ZIIIIIIII",
"IIIIZIIII",
"IZIIIIIII"
] | [
-0.25,
-0.5,
-1,
-0.75,
-0.5,
0.5,
-0.75,
-0.75,
-0.75,
-0.5,
-0.75,
-0.25,
-0.25,
1,
0.25,
-1.5,
0,
-0.5,
0,
1.25
] | 0.973957 | [
-0.03957831505921227,
0.006130189286134036,
-0.017929317053648544,
0.12712730696602598,
-0.06909810885548867,
0.16499459908876507,
0.1104908148870137,
2.761911007049986,
-0.24906193861339584,
0.10025750594834357,
-0.040340474615634385,
-0.006986122981867142,
0.030676898583188086,
-0.633446... | {
"n_parameters": 23,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 45 |
78352b36d64b35d780c91f540c949806 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 8}, {"source": ... | {"states": [0, 832], "expectation_value": -32.4942005433374, "params": [0.35750000000000004, 0.0053, 0.3714, -0.09230000000000001, -0.44210000000000005, 0.40750000000000003, -0.4353, 0.7067, 0.013000000000000001, 0.7911, -0.0146, 0.8546, -0.4399, 0.2126, -0.42700000000000005, 0.3773, 0.0091, 0.5373, 0.0044, 0.7761, -0.... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 2.0 * (Z(5) @ Z(8)) + 1.0 * (Z(2) @ Z(8)) + 1.0 * (Z(2) @ Z(5)) + -3.0 * (Z(4) @ Z(8)) + -3.5 * (Z(4) @ Z(5)) + -3.5 * (Z(6) @ Z(8)) + -3.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(4)) + -4.0 * (Z(7) @ Z(8)) + -4.0 * (Z(7) @ Z(5)) + -3.0 * (Z(7) @ Z(2)) + 1.... | 6 | 10 | 3 | {"smallest_eigenvalues": [-33.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.5, "smallest_bitstrings": ["0010111111"], "largest_eigenvalue": 48.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.2240137421970927) q[0];
rz(1.6978312778676177) q[0];
rx(-0.7029684358138636) q[1];
rz(1.8896931502934784) q[1];
rx(-0.021953574557899168) q[2];
rz(2.208912872393766) q[2];
rx(-0.6471313678112776) q[3];
rz(1.7523165131699692) q[3];
rx(0.11172181698153187) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IZIIZIIIII",
"IZIIIIIZII",
"IIIIZIIZII",
"IZIIIZIIII",
"IIIIZZIIII",
"IZIZIIIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"IZZIIIIIII",
"IIZIZIIIII",
"IIZIIIIZII",
"IIZIIZIIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"ZIIIZIIIII",
"ZIIIIIIZII",
"ZIIIIZIIII"... | [
-1.5,
-1.5,
0.5,
2,
1,
1,
-3,
-3.5,
-3.5,
-3.5,
-2.5,
-4,
-4,
-3,
1,
1.5,
1,
-3,
0.5,
1,
-3,
-3,
0.5,
0.5,
0.5,
-3,
-3.5,
-2,
1.5,
1.5,
2,
1
] | 0.972915 | [
0.2240137421970927,
0.12703495107272078,
-0.7029684358138636,
0.3188968234985825,
-0.021953574557899168,
0.6381165455988689,
-0.6471313678112774,
0.1815201863750716,
0.11172181698153186,
0.11911199217287555,
-0.11503409358304481,
1.26817810921335,
-0.2486438318796687,
0.31485645237008525,
... | {
"n_parameters": 136,
"n_qubits": 10,
"optimal_eigenvalue": -33.5,
"target_ratio": 0.97,
"target_value": -32.495
} | 134 |
059c5ce404f757d6274744c6602ec1e9 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 4, "source": 2, "target": 1}, {"capaci... | {"states": [7194, 3098], "expectation_value": -18.617768254428604, "params": [-0.0026000000000000003, 0.36960000000000004, 0.009300000000000001, 0.40230000000000005, 0.24130000000000001, -0.1419, 0.18330000000000002, -0.095, -0.6123000000000001, -0.2422, -0.5952000000000001, -0.2847, -0.6252, 0.2233, -0.402400000000000... | 0.5 * (Z(7) @ Z(10)) + 1.0 * (Z(11) @ Z(10)) + 0.5 * (Z(11) @ Z(7)) + 1.0 * (Z(8) @ Z(10)) + 2.0 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(11)) + 0.5 * (Z(9) @ Z(10)) + 1.0 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(11)) + 2.0 * (Z(9) @ Z(8)) + -0.5 * (Z(3) @ Z(10)) + -1.0 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(11)) + -2.0 * (Z(3) @ Z(8)) ... | 7 | 15 | 4 | {"smallest_eigenvalues": [-19.124999999999844], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.12499999999984, "smallest_bitstrings": ["111001111100101"], "largest_eigenvalue": 84.87499999999974} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(-0.17632153601759437) q[0];
rz(0.27590537353867717) q[0];
rx(0.2075095056394) q[1];
rz(-0.4704582387585073) q[1];
cx q[1], q[0];
rz(-0.18277090683093533) q[0];
cx q[1], q[0];
rz(1.6369236981183786) q[0];
ry(0.2434493437927825) q[0];
rz(-0.033877239878331356) q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZIIZIIIIIII",
"IIIZZIIIIIIIIII",
"IIIZIIIZIIIIIII",
"IIIIZIZIIIIIIII",
"IIIIIIZZIIIIIII",
"IIIZIIZIIIIIIII",
"IIIIZZIIIIIIIII",
"IIIIIZIZIIIIIII",
"IIIZIZIIIIIIIII",
"IIIIIZZIIIIIIII",
"IIIIZIIIIIIZIII",
"IIIIIIIZIIIZIII",
"IIIZIIIIIIIZIII",
"IIIIIIZIIIIZIII",
"IIIIIZIIIIIZIII",
"... | [
0.5,
1,
0.5,
1,
2,
1,
0.5,
1,
0.5,
2,
-0.5,
-1,
-0.5,
-2,
-1,
-0.5,
-1,
-0.5,
-2,
-1,
1,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
0.5,
0.5,
-1,
-1,
-1,
-2,
-1,
1,
1,
2,
-0.5,
-1,
-0.5,
0.5,
0.5,
-1,
-2,
-1,
1,
1,
0.75,
-0.5,
-1,
-0... | 0.974513 | [
-0.17632153601759437,
0.09313446670774206,
0.2075095056394,
-0.4704582387585073,
-0.35404045387346533,
-0.17486744702337587,
-0.7698146175155551,
0.5620468679722602,
0.4062574666603177,
0.15081260282753006,
0.03295201855433333,
-0.27074462131842325,
0.0041172974348196445,
0.519679506621933... | {
"n_parameters": 278,
"n_qubits": 15,
"optimal_eigenvalue": -19.124999999999844,
"target_ratio": 0.97,
"target_value": -18.551249999999847
} | 45 |
f1937be5027701b85b9b19d19758f85d | 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": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target":... | {"states": [567, 535], "expectation_value": -1.9613740777231183, "params": [0.8037000000000001, 0.8071, 0.0902, 0.0898, 0.7735000000000001, 0.7774000000000001, 0.2848, 0.2862, 0.7866000000000001, 0.7795000000000001, 0.7976000000000001, 0.797, 0.08650000000000001, 0.091, 0.801, 0.8071, 0.8083, 0.8101, 0.7916000000000001... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(6) + -0.5 * Z(4) + -0.5 * Z(2) + 0.0 * Z(5) + 0.0 * Z(7) + 0.0 * Z(9) +... | 13 | 10 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -3.5, "smallest_bitstrings": ["1011101000", "1010101100", "0111000011", "0111100010", "0111101000", "0101111000", "1001111000", "1000111100", "0111001001", "0101011001"], ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.189977014170046) q[0];
rz(0.08324868882318086) q[0];
ry(-0.15410957013236123) q[1];
ry(0.4094740369638855) q[2];
ry(0.35113075267144866) q[3];
ry(1.5231835848090505) q[4];
ry(0.7023822386193499) q[5];
ry(-0.12030759319057674) q[6];
ry(1.4465764566373709) q[7];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIIZ",
"IIIZIIIIZI",
"IIIIIZIIZI",
"IIIZIIIZII",
"IIIIZIIZII",
"IIZIIIZIII",
"ZIIIIZIIII",
"IZIZIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIIZIIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
0,
0,
0,
0
] | 0.978818 | [
1.189977014170046,
-0.15410957013236123,
0.4094740369638855,
0.35113075267144866,
1.5231835848090505,
0.7023822386193499,
-0.12030759319057674,
1.4465764566373709,
1.2738577672917473,
0.23402336771296853,
0.16649737764636172,
0.4372948992831883,
0.21888741755662028,
-0.4122092218120261,
... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 30 |
d1d870c1bd07079f597365ff55b714d8 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [2314, 2315], "expectation_value": -119.90990472155431, "params": [[0.7343000000000001, 0.0114, 0.0579, 0.8697, -0.2033, -0.003, -0.0049, -0.0794, 0.6335000000000001, -0.0007, 0.7945, -0.1188], [0.7793, -0.0167, 0.060700000000000004, 0.8439000000000001, 0.1636, -0.0026000000000000003, -0.004, -0.0666, 0.6363... | 8.5 * (Z(0) @ Z(1)) + 8.5 * (Z(3) @ Z(2)) + 8.5 * (Z(4) @ Z(3)) + 8.5 * (Z(7) @ Z(8)) + 8.5 * (Z(9) @ Z(0)) + 8.5 * (Z(9) @ Z(8)) + 8.5 * (Z(10) @ Z(0)) + 8.5 * (Z(10) @ Z(9)) + 8.5 * (Z(11) @ Z(2)) + -5.5 * Z(1) + 16.0 * Z(0) + 3.0 * Z(2) + 5.5 * Z(3) + -4.0 * Z(4) + 8.0 * Z(8) + -3.5 * Z(7) + 11.0 * Z(9) + 7.5 * Z(10... | 10 | 12 | 4 | {"smallest_eigenvalues": [-130.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -120.0, "smallest_bitstrings": ["011011110100"], "largest_eigenvalue": 149.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.8488586069753458) q[0];
ry(-0.009510117714567091) q[1];
ry(0.06381770807536705) q[2];
ry(0.6735955377995726) q[3];
ry(-0.14730366198300548) q[4];
ry(0.08894656648671148) q[5];
ry(-0.0736770114188253) q[6];
ry(-0.30414199015218407) q[7];
ry(0.7165747982965471) q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIIZZIII",
"IIIZZIIIIIII",
"IIZIIIIIIIIZ",
"IIZZIIIIIIII",
"IZIIIIIIIIIZ",
"IZZIIIIIIIII",
"ZIIIIIIIIZII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIIZIII",
"IIIIIIIZIIII",
"IIIZIIIIIIII",
"IIIIZIIIIIII",
"IIZIIIIIIIII",
"IZIIIIIII... | [
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
-5.5,
16,
3,
5.5,
-4,
8,
-3.5,
11,
7.5,
1.5,
-16.5,
-16.5
] | 0.972467 | [
0.8488586069753458,
-0.009510117714567091,
0.06381770807536705,
0.6735955377995726,
-0.14730366198300548,
0.08894656648671148,
-0.0736770114188253,
-0.30414199015218407,
0.7165747982965471,
-0.17502824662096883,
1.0046463185860721,
-0.26191598776312247,
0.885815996085529,
0.176704193106736... | {
"n_parameters": 58,
"n_qubits": 12,
"optimal_eigenvalue": -130,
"target_ratio": 0.97,
"target_value": -126.1
} | 13 |
5264b19f3401032e019b258a19fe08a0 | 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": 7}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 3, "source": 3, ... | {"states": [95, 127], "expectation_value": -0.05101194050207664, "params": [[0.0285, -0.032], [-0.0403, 0.0085]], "bitstrings": ["10100000", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004082244383539267, 0.0040916850392345725], "optimization_time": 2.768493413925171} | 0.25 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(7)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(2) @ Z(4)) + -1.0 * (Z(6) @ Z(5)) + -1.0 * Z(7) + -0.25 * Z(0) + 1.25 * Z(1) + 0.0 * Z(3) + 1.0 * Z(5) + 0.25 * Z(4) + -0.25 * Z(2) + -1.0 * Z(6) | 1 | 8 | 2 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000010", "10000000", "10100010", "10100000"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.5005925624115236) q[0];
h q[1];
ry(1.591564001118678) q[1];
h q[2];
h q[3];
ry(0.6952504778853904) q[3];
h q[4];
ry(0.6873945331184697) q[4];
h q[5];
ry(0.7975154858498489) q[5];
cx q[1], q[5];
ry(-0.7975154858498489) q[5];
cx q[1], q[5];
cx q[1], q[0];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIIZIZI",
"ZIZIIIII",
"IIZIZIII",
"ZIIZIIII",
"IIZZIIII",
"IIIZIZII",
"IZZIIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"IIIIIZII",
"IZIIIIII"
] | [
0.25,
-0.5,
-0.75,
-0.25,
-0.75,
-0.5,
-0.5,
-0.25,
-1,
-1,
-0.25,
1.25,
0,
1,
0.25,
-0.25,
-1
] | 0.990522 | [
1.591564001118678,
1.5950309716996978,
1.3905009557707808,
1.3747890662369393,
-1.0011851248230472,
1.5602692576684745,
-0.47416091488479784,
0.15379816803838467,
-0.0676587155553047,
0.014497427338701935,
0.011633393811882156,
-0.04397621596557995,
-0.044092031982984496
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 1 |
435fae812ed2d756ade2d902fc34abb8 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [363, 362], "expectation_value": -57.853252704187554, "params": [0.0043, 0.5001, 0.7996000000000001, 0.0016, 0.0021000000000000003, 0.48000000000000004, 0.7946000000000001, -0.0109, 0.8045, 0.26980000000000004, 0.42100000000000004, 0.4232, 0.8072, 0.21910000000000002, 0.335, 0.3935, 0.8039000000000001, 0.140... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(9) @ Z(1)) + 6.0 * (Z(9) @ Z(3)) + 6.0 * (Z(8) @ Z(7)) + 6.0 * (Z(8) @ Z(9)) + -4.5 * Z(0) + 15.0 * Z(1) + 12.0 * Z(3) + -3.5 * Z(2) + 2.0 * Z(5) + 1.5 * Z(4) + 8.5 * Z(6) + 0.5 *... | 18 | 10 | 3 | {"smallest_eigenvalues": [-92.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.5, "smallest_bitstrings": ["1010010101"], "largest_eigenvalue": 106.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.04695059136761472) q[0];
rz(0.419947813869221) q[0];
rx(0.9911549260663164) q[1];
rz(-0.07369476765518473) q[1];
rx(0.05031846105474737) q[2];
rz(0.6111799033389975) q[2];
rx(0.8733814249061583) q[3];
rz(0.11818058038398094) q[3];
rx(0.9842921586588501) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIZZIIIIII",
"ZIIIIIIIZI",
"ZIIIIIZIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
-4.5,
15,
12,
-3.5,
2,
1.5,
8.5,
0.5,
6.5,
8.5
] | 0.977691 | [
0.04695059136761473,
0.5809202867146945,
0.9911549260663164,
-0.07369476765518473,
0.05031846105474737,
0.6111799033389975,
0.8733814249061583,
0.11818058038398094,
0.9842921586588501,
0.23054069467979493,
0.08343370094854367,
0.5334785527816045,
1.2625086238043803,
0.27994484099154815,
... | {
"n_parameters": 87,
"n_qubits": 10,
"optimal_eigenvalue": -92.5,
"target_ratio": 0.97,
"target_value": -89.725
} | 18 |
aff16494716409c93ae0c6b924acb428 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 6, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 7, "source": 1, "target": 2... | {"states": [0, 1], "expectation_value": -11.469356896081601, "params": [[[0.0032, 0.0097], [0.0023, 0.0009000000000000001], [0.0023, 0.0049], [0.0024000000000000002, 0.0098], [0.0023, 0.0054], [0.0026000000000000003, 0.0074], [1.6074000000000002, 0.0068000000000000005]]], "bitstrings": ["1111111", "1111110"], "total_op... | -1.5 * (Z(0) @ Z(3)) + -1.25 * (Z(5) @ Z(0)) + 3.0 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -1.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -2.25 * Z(3) + -0.25 * Z(0) + 0.75 * Z(5) + 3.0 * Z(6) + 1.25 * Z(1) + -2.5 * Z(2) + 0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-17.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 17.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.17213197499966565) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(0.07476442289212104) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(-0.47901700998870134) q[4];
cx q[3], q[4];
rz(0.3504210231928404) q[3];
rx(0.01985686519069... | OPENQASM 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;
rx(x0) q[0];
rz(x1... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IIIZZII",
"IZIIZII",
"IIIIZZI",
"IIZZIII",
"IZZIIII",
"IIZIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
-1.5,
-1.25,
3,
-0.25,
-0.25,
-0.5,
-2,
-0.5,
-1.25,
-0.75,
-2.25,
-0.25,
0.75,
3,
1.25,
-2.5,
0
] | 0.970352 | [
-0.17213197499966565,
-0.00464843643423988,
0.009698808451135995,
0.07476442289212104,
-0.47901700998870134,
0.02577905338994005,
-0.24727051080343204,
0.3504210231928386,
0.3119955203211965,
-0.8454856564029164,
0.2802866890985153,
-0.36926583491198095,
0.01985686519069632,
0.143665584847... | {
"n_parameters": 46,
"n_qubits": 7,
"optimal_eigenvalue": -17.25,
"target_ratio": 0.97,
"target_value": -16.732499999999998
} | 130 |
71e5bb03712e194188f8d50f4c05cdf8 | 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": 6}, {"source": 1, "target": 5}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [108, 60], "expectation_value": -3.499151798817949, "params": null, "bitstrings": ["0010011", "1000011"], "total_optimization_steps": 29, "probabilities": [0.06620831211809416, 0.9331798105249665], "optimization_time": 25.531850576400757} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(6) + -0.5 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000011", "0010011", "1100010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.02416004962987343) q[0];
rz(0.6464253471396171) q[0];
ry(0.10916841186711712) q[1];
rz(-0.09003719706251745) q[1];
cz q[1], q[0];
ry(0.05188818090336937) q[0];
rz(0.3737247607235006) q[0];
ry(0.8200282107581987) q[1];
ry(1.0435735918085753) q[2];
rz(0.102623408307... | 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[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IZIIIZI",
"IZIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IZIIIII",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-0.5,
-0.5,
-0.5,
-1,
0,
0
] | 0.974585 | [
-0.02416004962987343,
0.6464253471396171,
0.10916841186711712,
-0.09003719706251745,
1.0435735918085753,
0.10262340830715515,
0.008916786375439203,
0.3403912361093418,
-0.14003445094820235,
0.6799870032696831,
0.15759830125959468,
-0.008518809284857834,
0.4100141053790994,
0.02910355617106... | {
"n_parameters": 46,
"n_qubits": 6,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 10 |
fd079aad48631945983209d97a727c90 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"s... | {"states": [0, 4095], "expectation_value": -6.678389259562956, "params": [0.0784, 0.5827, -0.4315, 0.0058000000000000005, -0.38680000000000003, 0.2879, 0.1731, 0.0016, 0.5412, 0.218, -0.401, 0.004200000000000001, -0.5399, 0.33480000000000004, 0.40090000000000003, 0.009600000000000001, -0.6419, 0.1641, -0.2381, 0.0019, ... | -1.5 * (Z(1) @ Z(3)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(4) @ Z(5)) + -1.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * (Z(10) @ Z(9)) + -1.5 * (Z(10) @ Z(8)) + -1.0 * (Z(11) @ Z(12)) + 0.5 * Z(3) + 0.5 * Z(1) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(9) + 0.5 * Z... | 6 | 13 | 1 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["1000000000000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(-0.9559139349698504) q[0];
rz(1.6627509892754073) q[0];
rx(-0.5823103529827552) q[1];
rz(1.447389744182317) q[1];
rx(0.8156788290621811) q[2];
rz(1.7072723338312583) q[2];
rx(-1.7711858124574054) q[3];
rz(1.5866822540996601) q[3];
rx(-0.9195136414770521) 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[... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZI",
"IIIIIIIIIZZII",
"IIIIIIIIIIZZI",
"IIIIIIIZZIIII",
"IIIIIZZIIIIII",
"IIIZZIIIIIIII",
"IIZZIIIIIIIII",
"IIZIZIIIIIIII",
"ZZIIIIIIIIIII",
"IIIIIIIIIZIII",
"IIIIIIIIIIIZI",
"IIIIIIIIIIZII",
"IIIIIIIZIIIII",
"IIIIIIIIZIIII",
"IIIIIZIIIIIII",
"IIIIIIZIIIIII",
"IIIZIIIIIII... | [
-1.5,
-1.5,
0.5,
-1,
-1,
-1.5,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.904778 | [
-0.9559139349698502,
0.09195466248051021,
-0.5823103529827552,
-0.12340658261257938,
0.8156788290621811,
0.13647600703636206,
-1.7711858124574054,
0.015885927304762973,
-0.9195136414770518,
-0.047862640291548575,
-1.951176303836524,
0.014017088401639483,
3.2821569608213594,
0.1746426946184... | {
"n_parameters": 64,
"n_qubits": 13,
"optimal_eigenvalue": -14.5,
"target_ratio": 0.97,
"target_value": -14.065
} | 500 |
4973527a678849b98f57c7e36651dc7d | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [570, 574], "expectation_value": -2.295779424582614, "params": [0.3035, -0.0009000000000000001, 0.3028, -0.004, 0.1268, -0.0308, 0.12040000000000001, -0.0298, 0.2343, 0.0947, 0.168, 0.0971, 0.2652, 0.09580000000000001, 0.18910000000000002, 0.0983, 0.2997, -0.0049, 0.30010000000000003, -0.009000000000000001, ... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(0) @ Z(2) ... | 6 | 10 | 3 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.625, "smallest_bitstrings": ["1101000001", "0101001001", "0101010001", "0110010001", "0111000001", "0100110001", "0110000101", "1000100101",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.8788272678966522) q[0];
rz(pi/2) q[0];
ry(-0.1334241194120591) q[1];
ry(0.011604251726391297) q[2];
ry(0.25142013658659446) q[3];
ry(0.7966340171037538) q[4];
ry(0.9791512702589679) q[5];
ry(0.407401027069806) q[6];
ry(0.4990764500234285) q[7];
ry(0.91240932417959... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIZZZII",
"IIIIIIIZIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIZIIZII",
"IIIZIIIZII",
"IIIZZIIIII",
"IIIIZIIZIZ",
"IIIZIIIZIZ",
"IIIZZIIIIZ",
"IIIZZIIZII",
"IIIZZIIZIZ",
"IIZIIIIIZI",
"IIIIZIZIII",
"IIZIIIZIII",
"IZIIIIZIII"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
... | 0.972665 | [
0.8788272678966522,
-0.1334241194120591,
0.011604251726391297,
0.25142013658659446,
0.7966340171037538,
0.9791512702589679,
0.407401027069806,
0.4990764500234285,
0.9124093241795926,
0.01000725245064743,
0.5390097874767521,
0.3349754001153205,
0.09482307600885169,
0.08011815732247125,
-0... | {
"n_parameters": 78,
"n_qubits": 10,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 56 |
0f435eed505f807fb8dc44643dfd43ce | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target"... | {"states": [57, 45], "expectation_value": -2.3679277592957098, "params": null, "bitstrings": ["1000110", "1010010"], "total_optimization_steps": 32, "probabilities": [0.09217217652916268, 0.8898723634495206], "optimization_time": 46.739049673080444} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375, -2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.375, "smallest_bitstrings": ["1010010", "0100110", "0011010", "1000011", "0010110", "1000110"], "largest_eigenvalue": 4.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.366669122515066) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.366669122515066) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.366669122515066) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.366669122515066) q[3];
cx q[0], q[3];
h q[4]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5158) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIZZIIZ",
"IIIZIZI",
"IZIIIZI",
"ZIIIIZI",
"IZIZIII",
"ZIIZIII",
"ZZIIIII",
"IZIZIZI",
"ZIIZIZI",
"ZZIIIZI",
"ZZIZIII",
"ZZIZIZI",
"IIZIZII",
"ZIIIZII",
"ZIZIIII",
"ZIZIZII",
"IIIIIIZ",
"III... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0,
0.125,
0,
0.125,
0,
-0.625,
0.125
] | 0.608376 | [
0.366669122515066,
0.6186240853904678,
-0.8045916182441789
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 106 |
-1093134671775269203 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 3], [0, 5], [2, 5], [2, 4], [3, 5], [2, 3], [0, 1], [3, 4], [0, 2], [1, 4]]} | {"states": [21, 25], "expectation_value": -2.667966598849532, "params": null, "bitstrings": ["101010", "100110"], "total_optimization_steps": 40, "probabilities": [0.058553157100736664, 0.8369645372094896], "optimization_time": 32.58447813987732} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["100110", "011001"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.222753958967844) q[0];
h q[1];
ry(0.7835813655029321) q[1];
h q[2];
h q[3];
ry(-0.222753958967844) q[3];
cx q[2], q[3];
ry(0.222753958967844) q[3];
cx q[2], q[3];
ry(-0.4223923935412427) q[3];
ry(1.504834767978917) q[2];
h q[4];
ry(-0.6686094231554726) q[4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIZIZI",
"IIIIZZ",
"ZIZIII",
"ZIIIIZ",
"IIZZII",
"IIIZIZ",
"ZIIZII",
"IZZIII",
"IZIIZI",
"IZIZII",
"IIZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.971246 | [
-0.445507917935688,
1.5112216571217283,
1.5671627310058642,
-1.2341556436360819,
-0.8447847870824854,
1.4554089905806686,
-1.3372188463109451,
0.0988515547964965,
-0.4993922951978633,
-0.06646535457215381,
0.2727399042435233,
-0.24599352074013636,
0.1654043772324636,
-0.04168105901908488,
... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 16 |
b305367bc2e2ddaa066fe8b84210618a | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 5}, {"weight": 15, "source": 0, "target": 2}, {"weight": 10, "source": 2, "target": 3}, {... | {"states": [117, 110], "expectation_value": -31.749033619990612, "params": [[-0.0302, -0.014100000000000001, 0.0041, 0.014], [0.059300000000000005, 0.0707, 0.06720000000000001, 0.058800000000000005]], "bitstrings": ["10001010", "10010001"], "total_optimization_steps": 10, "probabilities": [0.018643701303536115, 0.02300... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 19.5 * Z(1) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 150.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.2364115448940784e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.2364115448940784e-08) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-1.2364115448940784e-08) q[2];
cx q[0], q[2];
rz(1.5707962546560008) q[0];
rx(1.5707963244966565) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIIZIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
19.5,
1.5,
15.5,
13,
15,
13,
10,
6.5
] | 0.915441 | [
-1.2364115448940784e-8,
-1.570796288521854,
1.570796254656001,
-1.5707962902301755,
-2.293530648554822,
-1.5707963341692412,
-1.570796326359869,
1.570796377596495,
1.5707963244966565
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 231 |
655689708e73cb2de5fff319b9c5049e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [50, 58], "expectation_value": -2.837534141699318, "params": [0.0884, 0.1048, 0.0944, 0.1041, 0.0709, 0.1439, 0.062400000000000004, 0.139, 0.3049, 0.0031000000000000003, 0.2968, 0.007200000000000001, 0.305, -0.0023, 0.30720000000000003, -0.0027, 0.29300000000000004, -0.002, 0.2988, 0.0002, -0.000900000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + -0.5 * Z(2) + -0.5 * Z(0) + 0.0 * Z(6) + -0.5 * Z(4) + -1.0 * Z(1) + -1.5 * Z(5) + -1.0 * Z(7) + 0.0 * Z(3) | 7 | 8 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["11000101", "11001100", "10001101"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
ry(-0.3114576192495056) q[1];
cx q[0], q[1];
ry(0.3114576192495056) q[1];
cx q[0], q[1];
ry(-0.030618043159300785) q[0];
cx q[1], q[0];
ry(0.030618043159300785) q[0];
cx q[1], q[0];
ry(0.6769972329410875) q[0];
ry(-0.05626210454716797) q[1];
h q[2];
h q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IZIIIIIZ",
"IIIZIIZI",
"IIZIIZII",
"IIZIIIZI",
"ZIIZIIII",
"ZIIIIIZI",
"ZIZIIIII",
"IIZIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IZIIIIII",
"IIIZIIII",
"IIIIIIZI",
"IIZIIIII",
"ZIIIIIII",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0,
-0.5,
-1,
-1.5,
-1,
0
] | 0.97036 | [
-0.1530126046139461,
-0.6079426493672848,
-0.6986865897845813,
-0.6229152384990112,
-0.19187308433866224,
-1.262129033882647,
-1.0406852453135558,
-1.503410570765852,
-0.42170585527000815,
0.258806616762688,
-0.8679451848812157,
1.047117295721072,
0.06747524180625496,
0.9195739993990667,
... | {
"n_parameters": 98,
"n_qubits": 16,
"optimal_eigenvalue": -2.0182098765431746,
"target_ratio": 0.97,
"target_value": -1.9576635802468794
} | 72 |
8f4da54127eaef3ad4283690d95e9ab5 | connected_components | 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": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [63, 31], "expectation_value": -1.6238764351834956, "params": [[0.0811], [-0.0847]], "bitstrings": ["000000", "100000"], "total_optimization_steps": 10, "probabilities": [0.024551208010268295, 0.025231258675609235], "optimization_time": 1.5409374237060547} | -2.5 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(5) + -0.5 * Z(0) | 5 | 6 | 1 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-3.1415925297822342) q[0];
ry(0.5802529279415203) q[0];
rz(-1.5707964748326868) q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.6647370029919717) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.7799974894191006) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.6647370029919717... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x1) q[3];
cx q[2], q[3];
cx q[1... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIZZI",
"IIZZII",
"IIZIZI",
"IZIZII",
"IZIIZI",
"IZZIII",
"ZIIZII",
"ZIIIZI",
"ZIZIII",
"ZZIIII",
"IIIZII",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIIIZ"
] | [
-2.5,
-2,
-2.5,
0.5,
-2.5,
0.5,
-2,
-2.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.537797 | [
-0.6647370029919717,
-0.7799974894191006,
-0.11887186869582353,
-0.4450316216851595,
-1.5707964079544663,
-0.9905433988533814
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -14.5,
"target_ratio": 0.97,
"target_value": -14.065
} | 162 |
bd840c67c60de5e8a0e6837e43896a66 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [119, 127], "expectation_value": -6.663532538423466, "params": null, "bitstrings": ["10001000", "10000000"], "total_optimization_steps": 78, "probabilities": [0.1829048044125119, 0.5236471156154194], "optimization_time": 96.22803664207458} | -1.0 * (Z(0) @ Z(3)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -1.5 * (Z(7) @ Z(6)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(6)) + -1.75 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + 1.0 * Z(3) + -0.25 * Z(0) + -1.25 * Z(6) + -0.75 * Z(7) + 0.25 *... | 1 | 8 | 3 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.35990459281439513) q[0];
ry(0.023198227495002326) q[1];
ry(-0.34517053290632227) q[2];
ry(-0.07570776039062659) q[3];
ry(-0.3300671927820766) q[4];
ry(0.07912328524283957) q[5];
ry(-0.12769810895159228) q[6];
ry(2.542770934701043) q[7];
cx q[7], q[0];
cx q[6], q[7]... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(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[... | [
"IIIIZIIZ",
"IZIIIIIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"ZZIIIIII",
"IZIIIZII",
"IIIIIZZI",
"IIIZZIII",
"IZIZIIII",
"IIIZIIZI",
"IIZIIIZI",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII"
] | [
-1,
-0.5,
-1,
1.75,
-1.5,
-0.75,
-0.5,
-1,
-1.5,
-1.75,
-0.75,
1,
-0.25,
-1.25,
-0.75,
0.25,
-2,
2.25,
0.75
] | 0.971343 | [
0.35990459281439513,
0.023198227495002326,
-0.34517053290632227,
-0.07570776039062659,
-0.3300671927820766,
0.07912328524283957,
-0.12769810895159228,
2.542770934701043,
0.13639105111281324,
0.06582778734862514,
0.014480851916113589,
0.018346416700780566,
0.004479335725910791,
0.2717194537... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 35 |
2b8dca7c94388a8984b1472327af39be | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [6, 7], "expectation_value": -13.425163022945913, "params": [[[0.2746, -0.17950000000000002], [0.2676, 0.1802], [0.19690000000000002, -0.1968], [0.27080000000000004, 0.1802], [0.2738, 0.17950000000000002], [0.5874, 0.0022], [0.5873, 0.0019], [0.5876, 0.0007]], [[0.2792, -0.1794], [0.2667, 0.18030000000000002... | 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(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3... | 1 | 8 | 3 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.3818771377724905) q[0];
rz(-1.9103690503996393) q[0];
rx(-0.11263134617702725) q[1];
rz(0.6007254116023226) q[1];
rx(-0.002501317637743139) q[2];
rz(0.08539354915702879) q[2];
rx(-0.0783377712412768) q[3];
rz(1.925375141265496) q[3];
rx(0.012064649750713419) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
3,
2.75,
3,
3,
3,
2.75,
-7,
-7,
-7.5,
-7,
-7,
-6.5,
-6.5,
-6.5
] | 0.981014 | [
-0.3818771377724905,
-1.9103690503996393,
-0.11263134617702725,
0.6007254116023226,
-0.002501317637743139,
0.08539354915702879,
-0.0783377712412768,
1.925375141265496,
0.012064649750713419,
0.3747330441849217,
3.106996129162009,
-0.11573936158740605,
3.349533670738013,
0.27690137576373397,... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 22 |
28550855a20366800e3fd917bf6489e0 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [1, 127], "expectation_value": -0.1424750433352434, "params": [[0.0712], [-0.0558]], "bitstrings": ["11111110", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004539662347824602, 0.0045455442388954315], "optimization_time": 2.3084285259246826} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000", "11111110", "11100110", "11101110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.15216926898181918) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.15216926898181918) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.05788856062893183) q[5];
cx q[0], q[5];
cx q[2], q[5];
rz(0.15216926898181918) q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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],... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IZIIIZII",
"IZZIIIII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZZIIIIII",
"ZIIIZIII",
"IIIZIIZI",
"IIZZIIII",
"IZIZIIII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZIII",
"IIIZIII... | [
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.75,
1.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
0,
-0.25,
0.25,
0,
-0.75,
0.25,
0,
0.5
] | 0.970246 | [
0.15216926898181918,
0.05788856062893183,
-0.39706471093018897,
-0.4983538334088068,
-0.6196842796802551,
-0.8562234492096112,
-0.7118375263136241,
1.5192229975930538,
0.31351551366482816,
0.21708871535439847,
-0.41629988721034344,
-1.1950335447601863,
-0.3996149728763092,
-0.3579384860504... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 333 |
d7a525ce4c2e3aa682dbfbc5ee640032 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [14, 7], "expectation_value": -12.66339047984346, "params": null, "bitstrings": ["1110001", "1111000"], "total_optimization_steps": 63, "probabilities": [0.10630209494910714, 0.6109519875068035], "optimization_time": 81.12271118164062} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 16 | 7 | 3 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027051847789835787) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.027051847789835787) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.027051847789835787) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.027051847789835787) q[3];
cx q[1], ... | null | {"k": 4} | {"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(-1.5577) 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", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
-3.5,
-3.5,
-3.25,
-3.25,
-3,
-2.75,
-2.75
] | 0.976706 | [
0.027051847789835787,
-0.03206344691167204,
1.6851099918626093,
1.7238436867176876,
-1.4190839315479138,
-1.6226342532152522,
1.4767707881526164
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 75 |
1b85dbadf49d5e00f9e47be861e776c4 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [42, 14], "expectation_value": -5.496464013564576, "params": null, "bitstrings": ["1010101", "1110001"], "total_optimization_steps": 25, "probabilities": [0.0663487357359079, 0.9303658527537751], "optimization_time": 20.25125813484192} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1010101", "1110001"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.13453324330091465) q[0];
rz(1.0753513770848593) q[0];
rx(2.975746346254277) q[1];
rz(-0.6781668590082865) q[1];
rx(-0.2367256632155181) q[2];
rz(-0.22310665326415446) q[2];
rx(2.89712186884282) q[3];
rz(-0.1081053917582111) q[3];
rx(0.3607917338098562) q[4];
rz(-0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) 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", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIZIII",
"ZIZIIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-2,
-1.5,
-0.5,
-1.5,
-1.5,
0
] | 0.974192 | [
-0.13453324330091465,
1.0753513770848593,
2.975746346254277,
-0.6781668590082865,
-0.2367256632155181,
-0.22310665326415446,
2.89712186884282,
-0.1081053917582111,
0.3607917338098562,
3.4678529874554633,
1.0387317108088614,
-0.09274751190222191,
-0.35032557567080463
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 16 |
e4c65d82be0d39aa5a43dd21b25413c9 | 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": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [52, 22], "expectation_value": -3.9964641631107405, "params": null, "bitstrings": ["001011", "101001"], "total_optimization_steps": 25, "probabilities": [0.06634837994155196, 0.9303663571669202], "optimization_time": 19.97792625427246} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -1.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001011", "101001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3247553284692968) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.3247553284692968) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.3247553284692968) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.3247553284692968) q[3];
cx q[2], q[3];
h ... | 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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"ZIIIIZ",
"IIIZZI",
"ZIIIZI",
"IIZZII",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-0.5,
-1,
-0.5,
-0.5
] | 0.974813 | [
0.3247553284692968,
-1.3219445212436283,
-0.42592128972119486,
-1.3026339243679061,
-0.9080909678550849,
-1.1188009159857968,
0.06199065936474893,
-1.7911626886341159,
0.15201918715687204,
0.008349512126035533,
-0.1740273346787747,
-0.13593270342756683,
0.4345867108068353,
-0.2043119716458... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 68 |
250509f37f9446f8e0ae2849e52dd5c2 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "... | {"states": [140, 12], "expectation_value": -2.0047824770693268, "params": [[0.0616], [-0.06330000000000001]], "bitstrings": ["111101110011", "111111110011"], "total_optimization_steps": 10, "probabilities": [0.00031963427136750633, 0.0003224749710323119], "optimization_time": 9.766499280929565} | 0.5 * (Z(0) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(0)) + 1.0 * (Z(1) @ Z(8)) + 0.8571428571428572 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(9)) + 1.0 * (Z(2) @ Z(8)) + 0.8571428571428572 * (Z(2) @ Z(0)) + 1.0 * (Z(2) @ Z(9)) + 1.7142857142857144 * (Z(2) @ Z(1)) + -1.0 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(0)) + -1.0 * (Z... | 1 | 12 | 1 | {"smallest_eigenvalues": [-12.214285714285715], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.928571428571429, "smallest_bitstrings": ["111111110011"], "largest_eigenvalue": 61.35714285714286} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.23187867410549912) q[3];
cx q[4], q[3];
rz(0.8132055690128235) q[3];
rx(0.035835034364257105) q[3];
rz(0.8132055690128235) q[4];
rx(0.035835034364257105) q[4];
cx q[4], q[3];
rz(-0.05443002659568791) q[3];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIIZIIIIIIIZ",
"IIZZIIIIIIII",
"IIZIIIIIIIIZ",
"IIIZIIIIIIZI",
"IIIIIIIIIIZZ",
"IIZIIIIIIIZI",
"IIIZIIIIIZII",
"IIIIIIIIIZIZ",
"IIZIIIIIIZII",
"IIIIIIIIIZZI",
"IIIZIIZIIIII",
"IIIIIIZIIIIZ",
"IIZIIIZIIIII",
"IIIIIIZIIIZI",
"IIIIIIZIIZII",
"IIIZIZIIIIII",
"IIIIIZIIIIIZ",
"IIZIIZIII... | [
0.5,
1,
0.5,
1,
0.8571428571428572,
1,
1,
0.8571428571428572,
1,
1.7142857142857144,
-1,
-0.5,
-1,
-1,
-1,
-2,
-1,
-2,
-2,
-2,
2,
-0.5,
-0.5,
-0.5,
-1,
-1,
0.5,
1,
0.5,
0.5,
-0.5,
-1,
1,
1,
-1,
-2,
1,
-0.07142857142857142,
2.5,
1.14285714... | 0.935118 | [
-0.32731231516638337,
0.14897380147739106,
0.3033132207069555,
-0.2901323363886198,
-0.02932935189490087,
0.10782745201277463,
-0.2881621225257422,
1.141182308632574,
0.23187867410549912,
-0.6141242174422797,
0.03341520145894577,
0.6529864875408972,
0.6390851350237903,
0.859657635171111,
... | {
"n_parameters": 68,
"n_qubits": 12,
"optimal_eigenvalue": -12.214285714285715,
"target_ratio": 0.97,
"target_value": -11.847857142857144
} | 500 |
d5c9e2c60adcce2a7bd44a74474e515b | 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": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [169, 185], "expectation_value": -1.6975295787154077, "params": [-0.006900000000000001, 0.0006000000000000001, 0.4006, 0.4036, -0.0066, 0.0001, 0.4038, 0.39990000000000003, 0.30510000000000004, 0.2975, 0.3987, 0.397, 0.08030000000000001, 0.0745, 0.19340000000000002, 0.1922, 0.38020000000000004, 0.37870000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(7) @ Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(7) @ Z(1)) + 0.125 ... | 13 | 9 | 3 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.125, "smallest_bitstrings": ["011100100", "011000110", "100101100", "100110001", "100100110", "011010001", "100100101", "101000110",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.06491193756964622) q[0];
rz(0.07529977947409294) q[0];
ry(0.23742091791802283) q[1];
ry(0.07766255112857626) q[2];
ry(0.47052276345903) q[3];
ry(0.39725956148730496) q[4];
ry(0.42926103817060673) q[5];
ry(0.09530470417953064) q[6];
ry(-0.03811340140983269) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIZZZIIII",
"IIIIZZIII",
"IZIIIZIII",
"IZIIZIIII",
"IZIIZZIII",
"IIIZIIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IZIZIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IZIZIIIZI",
"ZIIZIIIZI",
"ZZIIIIIZI",
"ZZIZIIIII",
"... | [
0.5,
0.5,
0.5,
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,
0.5,
-0.5,
-0.125,
-0.5,
-0.25,
0,
0.125,
-0.25,
0.125,
-0.125
] | 0.97713 | [
-0.06491193756964622,
0.23742091791802283,
0.07766255112857626,
0.47052276345903,
0.39725956148730496,
0.42926103817060673,
0.09530470417953064,
-0.03811340140983269,
0.7443234373539951,
0.15059955894818589,
-0.22808838527589015,
0.18678011820363896,
0.2606838079152155,
-0.1368076453033955... | {
"n_parameters": 105,
"n_qubits": 9,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 15 |
d2be47e29eae50ce45c4510347a77d7f | 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": 6, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "s... | {"states": [510, 255], "expectation_value": -1.2230619694432907, "params": [[-0.0434], [0.054200000000000005]], "bitstrings": ["000000001", "100000000"], "total_optimization_steps": 10, "probabilities": [0.00286193527478019, 0.002895625491032748], "optimization_time": 3.020850419998169} | -1.5 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(3)) + -1.5 * (Z(5) @ Z(1)) + -1.75 * (Z(5) @ Z(3)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(2)) + -1.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-24.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.25, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 19.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.45187246565378847) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.44376503511328963) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.21424295295244217) q[2];
cx q[1], q[2];
rz(0.28302701021051624) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZZII",
"IIIZIIIZI",
"IIIZIZIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIIIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIIZIZII",
"IIIZZIIII",
"IZIIZIIII",
"IIZIIZIII",
"IIZIIIZII",
"IIZZIIIII",
"IIZIZIIII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"... | [
-1.5,
-1.25,
-1,
-0.25,
-3,
-1.5,
-1.75,
-0.25,
-1,
-0.5,
-1.25,
-1.5,
-0.75,
-1,
-1,
-0.75,
-2.75,
-0.75,
-1.5,
2.75,
-1.75,
-0.75,
-0.25,
0.5,
-0.25,
-5,
-0.25,
-0.75,
0.25,
2.25,
3.25,
0
] | 0.567083 | [
0.45187246565378847,
0.44376503511328963,
0.28302701021051624,
0.21424295295244217,
0.5922640119683332,
0.2321019740417554,
0.38007108801651485,
0.35236256173146097,
0.6024633427501395,
-1.08455801308407,
0.06828135707112602,
0.6612327492181652,
-0.09231695638765809,
-0.43151692126826907,
... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -24.25,
"target_ratio": 0.97,
"target_value": -23.5225
} | 345 |
be8cb749990925e9bac00c77ab1f0ada | 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": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 2, "target": 9}, {"source": 3, "target":... | {"states": [316, 444], "expectation_value": -3.0947050835739103, "params": [0.077, 0.5515, 0.08410000000000001, 0.01, 0.9012, 0.3033, 0.9003, 0.0082, 0.8646, 0.0021000000000000003, 0.8663000000000001, 0.008, 0.0714, -0.4161, 0.0743, 0.0045000000000000005, 0.9048, 0.0026000000000000003, 0.9032, 0.0067, 0.909600000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(8)) + 0.0 * Z(1) + -1.0 * Z(0) + 0.0 * Z(5) + -1.5 * Z(8) + -0.5 * Z(9) + 0.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(6) + 0.0 * Z(7) + 0... | 7 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["1001100001", "1011000010", "1001000011"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.1354169510109019) q[0];
rz(0.40368732479985825) q[0];
rx(1.2793196934487203) q[1];
rz(0.08157048577167253) q[1];
cx q[1], q[0];
rz(-0.1657715408373314) q[0];
cx q[1], q[0];
rx(-0.12927374669726613) q[0];
rz(-0.11516283933992391) q[0];
rx(1.704187667066632) q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIZIIIIZ",
"IZIIIIIIIZ",
"ZZIIIIIIII",
"ZIIIIIIZII",
"IZIIIIZIII",
"IIIZIIZIII",
"IIZIIIZIII",
"IZIIIZIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIZIIIII",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IIIIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1,
0,
-1.5,
-0.5,
0,
-1,
0,
0,
0
] | 0.975567 | [
0.13541695101090187,
0.23791578396252683,
1.2793196934487203,
0.08157048577167253,
1.4364679947118,
0.15219434251955627,
-0.21354968232132013,
-0.6667485770660911,
1.826444902423679,
-0.08041753521787394,
1.8281189980025516,
-0.04934476279244224,
1.4331058287040532,
0.15247914862936518,
... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 22 |
e61b9b6cad8366f7e670366fe202a3e7 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 4}, {"weight": 11, "source": 0, "target": 3}, {"weight": 20, "source": 1, "target": 3}, {... | {"states": [124, 122], "expectation_value": -20.479102914649978, "params": [[-0.0032, -0.035300000000000005, 0.0073], [0.0105, 0.06720000000000001, 0.06960000000000001]], "bitstrings": ["10000011", "10000101"], "total_optimization_steps": 10, "probabilities": [0.011595144487882113, 0.012858351348224883], "optimization_... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 17.5 * Z(1) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 153.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-2.1064438042783817) q[0];
h q[1];
ry(3.00933532207482) q[1];
h q[2];
ry(63.914512083600656) q[2];
rz(-pi) q[3];
ry(-2.0138186233070408) q[3];
cx q[2], q[3];
ry(31.631902076085566) q[3];
cx q[2], q[3];
ry(-31.392809348396653) q[3];
cx q[1], q[3];
ry(31.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17.5,
10,
14,
22,
12.5,
8.5,
12,
1
] | 0.972485 | [
34.330472433163216,
3.00933532207482,
62.27727198687937,
63.914512083600656,
-63.26380415217113,
17.13394339312842,
-62.78561869679331,
6.4092125346744835,
8.995405679010444,
-25.18439210953081,
-12.211734701172722,
-1.494483191794119,
30.42716060399111,
-16.64234087916521,
10.1661517222... | {
"n_parameters": 64,
"n_qubits": 8,
"optimal_eigenvalue": -74.5,
"target_ratio": 0.97,
"target_value": -72.265
} | 67 |
bce5ca5986693901af184e18507446b4 | 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": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 6, "source": 2, ... | {"states": [127, 1], "expectation_value": -0.19872968690132714, "params": [[-0.006200000000000001, 0.0261, -0.0334], [0.024300000000000002, -0.0256, 0.0146]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.0042425876160024694, 0.004262748521810115], "optimization_time": 16.7... | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(5)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(5)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(7) + -0.25 * Z(1) + -0.75 *... | 1 | 8 | 3 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["11111110", "11111100"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.26551759312366496) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.24601808850036722) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.2106820697719629) q[3];
cx q[2], q[3];
h q[4];
cx q[2], q[4];
rz(-0.24601808850036722) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"ZIIIIIIZ",
"IIIIIZZI",
"IIZIIIZI",
"IIIIZZII",
"IIZIZIII",
"IIIZIZII",
"IIZZIIII",
"IIIZZIII",
"IZIIIZII",
"IZZIIIII",
"IIIIIZII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII"
] | [
-0.25,
0.5,
-1.5,
-1.75,
-1,
-1.25,
-1.5,
-1,
-1.5,
-0.5,
-1.75,
0.25,
-0.25,
0.5,
-0.25,
-0.75,
-3.75,
2,
2.25
] | 0.970878 | [
-0.26551759312366496,
0.5443980403728371,
-0.24601808850036722,
-0.2378127075115953,
-0.2106820697719629,
-0.20753145420696298,
0.003614311912416672,
-0.7751099775106872,
-0.3975432926107583,
-0.847716413634907,
-0.4217054509723286,
0.811719888820736,
-1.5077942636527142,
-0.28499579844100... | {
"n_parameters": 52,
"n_qubits": 8,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 157 |
4219955637285943090 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 11, 7], [0, 2, 10, 3], [5, 7], [0, 1, 2, 5], [0, 1, 4, 6, 9, 11], [3, 6, 8, 9, 10, 11], [1, 2, 3, 4], [1, 2, 4, 6], [8, 7], [0, 3, 5, 6, 10, 11], [0, 8, 2, 4], [0, 1, 5, 6, 8, 9, 10], [8, 2, 11, 4], [2, 10, 11, 5], [10, 11, 4], [8, 2, 3], [1, 2, 3, 5,... | {"states": [2993, 4017], "expectation_value": -5.343726292964586, "params": [1.8157, -0.003, 0.2056, 0.0036000000000000003, 1.208, -0.0037, 1.8685, 0.0008, 1.8292000000000002, -0.0057, 0.9442, 0.0071, 1.8449, -0.0001, 1.754, 0.0054, 1.8564, 0.0011, 1.2629000000000001, 0.0079, 1.8549, -0.0039000000000000003, 1.3911, 0.0... | 0.29047619047619044 * (Z(9) @ Z(11)) + 0.3333333333333333 * (Z(7) @ Z(11)) + 0.16666666666666666 * (Z(7) @ Z(9)) + 0.26666666666666666 * (Z(0) @ Z(11)) + 0.09047619047619047 * (Z(0) @ Z(9)) + 0.08333333333333333 * (Z(0) @ Z(7)) + 0.2738095238095238 * (Z(2) @ Z(11)) + 0.023809523809523808 * (Z(2) @ Z(9)) + 0.33333333333... | 6 | 12 | 1 | {"smallest_eigenvalues": [-6.223809523809523], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0500000000000025, "smallest_bitstrings": ["000001001110"], "largest_eigenvalue": 25.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.4925636922824657) q[0];
rz(1.465003189170817) q[0];
rx(1.8288401911806125) q[1];
rz(1.6259165971216252) q[1];
rx(2.9515591072154894) q[2];
rz(1.6238571890174764) q[2];
rx(2.4514389202934703) q[3];
rz(1.433001988535402) q[3];
rx(2.122606962663618) q[4];
rz(1.830383... | OPENQASM 3.0;
include "stdgates.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": []} | [
"ZIZIIIIIIIII",
"ZIIIZIIIIIII",
"IIZIZIIIIIII",
"ZIIIIIIIIIIZ",
"IIZIIIIIIIIZ",
"IIIIZIIIIIIZ",
"ZIIIIIIIIZII",
"IIZIIIIIIZII",
"IIIIIIIIIZIZ",
"ZZIIIIIIIIII",
"IZZIIIIIIIII",
"IZIIZIIIIIII",
"IZIIIIIIIIIZ",
"IZIIIIIIIZII",
"ZIIIIIIIZIII",
"IIZIIIIIZIII",
"IIIIIIIIZIIZ",
"IIIIIIIIZ... | [
0.29047619047619044,
0.3333333333333333,
0.16666666666666666,
0.26666666666666666,
0.09047619047619047,
0.08333333333333333,
0.2738095238095238,
0.023809523809523808,
0.3333333333333333,
0.6499999999999999,
0.05714285714285714,
0.25,
0.2238095238095238,
0.21666666666666667,
0.09047619047... | 0.970782 | [
1.4925636922824659,
-0.10579313762407885,
1.8288401911806125,
0.05512027032672896,
2.9515591072154894,
0.05306086222257998,
2.4514389202934703,
-0.13779433825949466,
2.122606962663618,
0.2595872306838927,
1.8287150339114844,
0.013769465742622947,
1.8811495362045427,
-0.009541476013360469,
... | {
"n_parameters": 58,
"n_qubits": 12,
"optimal_eigenvalue": -6.223809523809523,
"target_ratio": 0.97,
"target_value": -6.037095238095237
} | 464 |
766ad5c893fdabef4db5a6d615ba911f | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 20, "source": 0, "target": 2}, {"weight": 13, "source": 0, "target": 4}, {... | {"states": [126, 122], "expectation_value": -40.86541592549894, "params": [[-0.0358, 0.0023, 0.00030000000000000003, 0.0019], [0.08, 0.0693, 0.0716, 0.0526]], "bitstrings": ["10000001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.021894312124528886, 0.022195336332740873], "optimization_time": 6.732... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 182.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.016153868570687777) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.016153868570687777) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.016153868570687777) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.016153868570687777) 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[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIZZIIII",
"IZIIIIZI",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
26,
12,
18.5,
10.5,
17.5,
9,
22,
3
] | 0.973841 | [
0.016153868570687777,
1.6531426914122864,
4.3596912682155935,
1.5899733302440615,
1.7283760072836996,
1.378270030858796,
-2.417983287278949,
1.460564283804654,
-1.7408143236471427,
-1.5136081997036865
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -78.5,
"target_ratio": 0.97,
"target_value": -76.145
} | 57 |
951cbddae609304a780bb0bbe3d3c74a | 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": 6}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [682, 683], "expectation_value": -2.6430663252282227, "params": [[1.1935, 0.0044, 1.0455, -0.001, 1.1583, -0.0002, 0.6673, 0.048400000000000006, 1.2367000000000001, 0.5098], [0.7296, -0.0009000000000000001, 1.0582, -0.0026000000000000003, 0.8348, 0.1653, 1.3274000000000001, -0.021500000000000002, 0.607300000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(0) @ Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(4) @ Z(6) @ Z(7)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.25 * (Z(8) @ Z(6)) + -0.25 *... | 10 | 10 | 2 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.125, "smallest_bitstrings": ["0101010100", "1100100010", "1001010100", "0110011000", "1000110001", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.012558003040867877) q[0];
rz(0.7622563568799818) q[0];
ry(-0.10803919129409958) q[1];
rz(-0.32679151247705823) q[1];
cx q[1], q[0];
ry(0.09393716342277954) q[0];
rz(0.3123749171255784) q[0];
ry(0.6915755387416351) q[1];
rz(0.3260816840128638) q[1];
ry(-0.185221726... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIIIZZIZ",
"IIIIZZIIII",
"IIIZIZIIII",
"IIZIIZIIII",
"IIZZIIIIII",
"IIZZIZIIII",
"IIIZZIIIII",
"IZIIZIIIII",
"IZIZIIIIII",
"IZIZZIIIII",
"IIZIIIIZII",
"IZIIIIIZII",
"ZIIIIIIZII",
"IZZIIIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
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,
0.125,
0,
-0.25,
-0.25,
0,
0.125,
0.1... | 0.972589 | [
0.012558003040867877,
0.7622563568799818,
-0.10803919129409958,
-0.32679151247705823,
-0.18522172667458084,
-0.34593201446337846,
0.03934487114438403,
-0.4428242383139507,
0.17998212812584102,
0.31961827469353526,
-0.06746124436891895,
0.82681021319161,
0.7784283399633063,
-0.7800809250948... | {
"n_parameters": 107,
"n_qubits": 10,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 124 |
e5362bdf5e727045ae0e3b514af6e6e2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [44, 29], "expectation_value": -9.606446295553518, "params": null, "bitstrings": ["010011", "100010"], "total_optimization_steps": 43, "probabilities": [0.10828730374394173, 0.8327087190411567], "optimization_time": 30.49723792076111} | -0.25 * (Z(0) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(5)) + 1.25 * Z(2) + -0.25 * Z(0) + -2.5 * Z(4) + 0.0 * Z(1) + -0.5 * Z(5) + 2.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["100010"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6613510471018691) q[0];
h q[1];
ry(0.6363557243035431) q[1];
h q[2];
ry(0.8762410042703717) q[2];
h q[3];
ry(1.5797614988899453) q[3];
h q[4];
ry(-1.3227020942037382) q[4];
h q[5];
cx q[5], q[0];
ry(0.6613510471018691) q[0];
cx q[5], q[0];
ry(-0.1472698311... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IZIIZI",
"ZIIIIZ",
"ZIIIZI",
"IIZZII",
"IIZIZI",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"ZIIIII",
"IIZIII"
] | [
-0.25,
-1,
-1.25,
-0.75,
1.75,
-1,
-0.5,
-1.25,
-1.25,
1.25,
-0.25,
-2.5,
0,
-0.5,
2
] | 0.973802 | [
-1.3227020942037382,
1.5797614988899453,
1.7411868845926435,
-0.2945396623583815,
1.2727114486070863,
0.4993285531882329,
1.7524820085407433,
-0.23870673944423812,
-0.4358087178782579,
0.06835119046574256,
-0.27794874849023343,
-0.29686600510111416,
0.5459314081296203,
-0.5128761408398687,... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 64 |
7f4c1e2c9bad0a6e0605fae9471bc9cf | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [1910, 1911], "expectation_value": -3.480251860542958, "params": [-0.0037, 0.3894, -0.0013000000000000002, 0.3799, 0.1184, 0.2028, 0.11660000000000001, 0.2008, 0.3864, 0.0187, 0.3876, 0.0651, 0.496, 0.0063, 0.4938, 0.0002, 0.4933, 0.0005, 0.5001, 0.0001, 0.1275, 0.1365, 0.1297, 0.1262, 0.4948, 0.018600000000... | 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(5) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(5) @ Z(3)) + 0.0625 * (Z(5) @ Z(4)) + -0.0625 * (Z(1) @ Z(2) @ Z(3)) + -0.0625 * (Z(1) @ Z(2) @ Z(4)) + -0.0... | 7 | 13 | 3 | {"smallest_eigenvalues": [-4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -3.40625, "smallest_bitstrings": ["1110000000001", "1000011001000", "1000010101000", "1000010110000", "10100001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-3.0439732452993793) q[0];
rz(-pi) q[1];
ry(-0.021586519897609995) q[1];
rz(-pi) q[2];
ry(-3.0439732452993793) q[2];
h q[3];
ry(1.5712954840865174) q[3];
h q[4];
ry(-1.5396619496691069) q[4];
h q[5];
ry(-1.5396619496691069) q[5];
rz(-pi) q[6];
ry(-3.051... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZI",
"IIIIIIIIIZIZI",
"IIIIIIIIZIIZI",
"IIIIIIIZIIIZI",
"IIIIIIIIIZZII",
"IIIIIIIIZIZII",
"IIIIIIIZIIZII",
"IIIIIIIIZZIII",
"IIIIIIIZIZIII",
"IIIIIIIZZIIII",
"IIIIIIIIIZZZI",
"IIIIIIIIZIZZI",
"IIIIIIIZIIZZI",
"IIIIIIIIZZIZI",
"IIIIIIIZIZIZI",
"IIIIIIIZZIIZI",
"IIIIIIIIZZZ... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25... | 0.993003 | [
-1.5396619496691069,
-1.567621708727845,
1.5712954840865174,
0.17901712585412477,
0.19424050199758652,
0.11763506385417996,
-0.04952227592932356,
0.11380756988679648
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 1 |
58fa04385078dcdc0b5f9361c481400a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [0, 5], "expectation_value": -2.44663260195865, "params": [[[0.058300000000000005, -0.023200000000000002], [0.4451, -0.5388000000000001], [0.4035, 0.7104], [0.1437, 0.7032], [0.4691, 0.0644]], [[-0.1874, -0.07390000000000001], [0.7000000000000001, 0.2066], [0.7081000000000001, -0.3541], [0.7071000000000001, ... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(1) | 15 | 5 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["11010", "00111"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.47101618974758475) q[0];
rz(-0.16827364835461855) q[0];
rx(0.48551343822356186) q[1];
rz(0.17804732572877252) q[1];
rx(0.32539434813691376) q[2];
rz(0.5457656730524693) q[2];
rx(-0.21683998807139754) q[3];
rz(0.30031640895019224) q[3];
rx(1.2220557292476708) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIZ",
"IZZII",
"IZIIZ",
"ZIIIZ",
"ZZIII",
"IIZZI",
"IZIZI",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"ZIIII",
"IIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1,
-1
] | 0.971822 | [
0.4710161897475848,
-0.09099105680982872,
0.48551343822356186,
0.17804732572877252,
0.32539434813691376,
0.5457656730524693,
-0.21683998807139754,
0.30031640895019224,
1.2220557292476708,
0.00816620436411572,
0.6463337616946943,
0.03026562494828463,
0.5393888844458095,
-0.2593316846640103,... | {
"n_parameters": 71,
"n_qubits": 8,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 45 |
5ff13daf48c5dfc8657b57cf7715e1fc | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "... | {"states": [4091, 4095], "expectation_value": -13.75871306339151, "params": [0.4445, 0.39130000000000004, 0.3633, 0.006, -1.2549000000000001, 2.8769, -1.4038000000000002, 0.0046, 1.5872000000000002, 0.9405, -0.2918, 0.0014, 1.4475, 0.4116, -0.5572, 0.007200000000000001, 1.3734000000000002, 0.2305, -0.5069, 0.0008, -1.3... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + -1.5 * (Z(8) @ Z(10)) + -2.0 * (Z(9) @ Z(10)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(11) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(11)) + 0.5 * (Z(4) @ Z(11)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(6) + 0.5... | 6 | 12 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["000000000000"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.1536420757489187) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.1536420757489187) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.10539100401300772) q[1];
rx(0.9458169338012185) q[1];
rz(1.1536420757489187) q[2];
cx q[0], q[2];
rz(0.1053... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIZZIIIII",
"IIIIZZIIIIII",
"IIIIZIZIIIII",
"IZIZIIIIIIII",
"IZZIIIIIIIII",
"IIZZIIIIIIII",
"ZIIIIIIIIZII",
"IIIIIIIIZZII",
"ZIIIIIIIZIII",
"ZIIIIIIZIIII",
"IIIIIIIZZIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIZIIIIII",
"IIIIIIZIIIII",
"IIIIZIIIIIII",
"IZIIIIIII... | [
-1,
-1.5,
-1.5,
-1.5,
-1.5,
-2,
0.5,
-1.5,
0.5,
-2,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
0.5,
-1,
0.5,
0.5,
0.5,
0.5
] | 0.568493 | [
1.1536420757489187,
0.4647440094473576,
0.10539100401300808,
1.4101173553739703,
0.37363821744157655,
0.9458169338012185
] | {
"n_parameters": 6,
"n_qubits": 12,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 164 |
0d8e08edacb19af1eadafa58f3724383 | 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": 9, "source": 0, "target": 1}, {"weight": 20, "source": 1, "target": 7}, {"weight": 10, "source": 2, "target": 3}, {"weight": 11, "source": 2, "tar... | {"states": [222, 186], "expectation_value": -26.165179293706647, "params": [[-0.040400000000000005, 0.008700000000000001, 0.0024000000000000002], [0.0777, 0.068, 0.06760000000000001]], "bitstrings": ["100100001", "101000101"], "total_optimization_steps": 10, "probabilities": [0.008962216273980177, 0.01043587865486182],... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 10.0 * Z(1) + 0.0 * Z(0) + 14.5 * ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-68.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["101000101"], "largest_eigenvalue": 145.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.012784246995398676) q[0];
cx q[1], q[0];
rz(1.1468271443663136) q[0];
rx(1.4195474064205706) q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.012784246995398676) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(-0.012784246995398676) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIIZIIZII",
"IIZIIZIII",
"IIZIZIIII",
"IZIIIZIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
0,
14.5,
9.5,
12,
10,
9.5,
15.5,
6
] | 0.979458 | [
-0.012784246995398676,
-1.605512074059542,
1.1468271443663132,
-1.2513828923556978,
1.2916257675260863,
-1.1711570212176807,
-1.4401838120131663,
1.6156251501443357,
1.4195474064205709,
-0.20992078531679503,
0.46022115213623693,
-0.8476005599875621,
0.026990108687306884,
-1.848404450162275... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -68.5,
"target_ratio": 0.97,
"target_value": -66.445
} | 52 |
600a12ed8acc1493d24fddbcbeff68c8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capac... | {"states": [0, 1], "expectation_value": -11.654502231197439, "params": [0.0041, 0.1169, -0.0026000000000000003, 0.1263, 0.0044, 0.1173, 0.0005, 0.1632, -0.0009000000000000001, 0.16160000000000002, 0.0045000000000000005, 0.1597, 0.0076, 0.1144, 0.0023, 0.1585, 0.0006000000000000001, 0.1558, 0.001, 0.1521, -0.0005, 0.169... | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(8) @ Z(2)) + -1.25 * (Z(8) @ Z(5)) + -0.5 * (Z(8) @ Z(3)) + 2.25 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(3)) + -0.5 * (Z(9) ... | 6 | 10 | 4 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -13.0, "smallest_bitstrings": ["1111111110", "1110101100", "1110101000", "1110100000"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.10235181306663749) q[0];
rz(1.783960739796636) q[0];
rx(0.005196556850576228) q[1];
rz(1.7196693976995423) q[1];
rx(-0.15553266644044964) q[2];
rz(1.7036339359087265) q[2];
rx(0.16400003819464995) q[3];
rz(1.6254032971902408) q[3];
rx(-0.050327272690568525) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIIIIZZI",
"IIIIIIZZII",
"IIIIZIZIII",
"IIIIIIZIZI",
"IZIIIIIZII",
"IZIIZIIIII",
"IZIIIIZIII",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"ZIIIIIZIII",
"ZZIIIIIIII",
"IIZIZIIIII",
"IZZIIIIIII",
"IIIZIIIIZI",
"IIZZIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ"... | [
-0.5,
-0.75,
-0.75,
-1,
-0.5,
-0.75,
-0.75,
-0.25,
-1.25,
-0.5,
2.25,
-0.25,
-0.25,
-0.5,
-0.75,
-0.75,
-1,
-0.75,
-0.25,
-0.25,
-0.5,
0.5,
-2.75,
1.75,
0.75,
1.25,
-0.75,
0.25
] | 0.972306 | [
0.10235181306663751,
0.2131644130017395,
0.005196556850576227,
0.14887307090464605,
-0.15553266644044964,
0.13283760911382933,
0.16400003819464992,
0.05460697039534368,
-0.050327272690568525,
0.25067395110619195,
-0.07275420580086236,
0.17206052977121183,
0.07721293223549788,
0.12953310071... | {
"n_parameters": 124,
"n_qubits": 10,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 9 |
519c34a92d635f5d0d1d5056f186a00b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "s... | {"states": [127, 255], "expectation_value": -0.19111203322523754, "params": [[-0.0656], [0.06380000000000001]], "bitstrings": ["110000000", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0023608761452515513, 0.0023775227508691325], "optimization_time": 2.769733190536499} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(2)) + 1.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(2)) + -0.5 * (Z(8) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.25 * (Z(3) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000000", "100000010", "110000000", "110000010", "110100110", "110101110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.0505005019312091) q[0];
ry(0.028410891701922993) q[1];
ry(0.028410891701922993) q[2];
ry(-0.2921272247047445) q[3];
ry(0.10444384253869617) q[4];
ry(0.028410891701922993) q[5];
ry(-0.0505005019312091) q[6];
ry(0.07638954939930696) q[7];
ry(2.7679972102205896) q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IZZIIIIII",
"IZIIIIZII",
"IIZIZIIII",
"IIIIZIZII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"IIZIIZIII",
"ZIIIIZIII",
"IIZZIIIII",
"IZIZIIIII",
"IIIZZIIII",
"IIIZIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIZIIIIII",
"... | [
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.75,
1.25,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
0.75,
0.5,
-0.25,
-0.5,
0.75
] | 0.974255 | [
-0.0505005019312091,
0.028410891701922993,
-0.2921272247047445,
0.10444384253869617,
0.07638954939930696,
2.7679972102205896,
-3.0978092855595905,
0.11907677866538086,
-0.059719361523734395,
0.04894987958156796,
0.09175757565966891,
0.06123634315340683,
0.08862005027616075,
0.4386087598522... | {
"n_parameters": 15,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 11 |
-527894182820865165 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[10, 5, 7], [0, 2], [0, 3, 6], [9, 6], [0, 10, 3], [2, 3, 5], [5, 6], [10, 4, 6], [2, 4, 5], [0, 4], [0, 9, 7], [1, 7], [8, 6]]} | {"states": [472, 473], "expectation_value": -4.505507951003443, "params": [0.0022, -1.0934000000000001, 0.0027, 2.1889000000000003, 1.7207000000000001, 0.0028, 3.0016000000000003, 0.0022, 3.1389, 0.2427, 3.1778, -0.0051, 3.0081, 0.0022, 3.1393, 0.29050000000000004, -0.0025, 0.131, -0.0027, 1.9787000000000001, 1.6043, 0... | 0.16666666666666666 * (Z(10) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(10)) + 0.16666666666666666 * (Z(0) @ Z(10)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.3333333333333333 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ ... | 4 | 11 | 1 | {"smallest_eigenvalues": [-4.666666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.333333333333334, "smallest_bitstrings": ["11000100110"], "largest_eigenvalue": 9.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.08909814621961584) q[0];
rz(0.43950786084042726) q[0];
rx(-0.12314781244397735) q[1];
rz(-2.445159913881728) q[1];
rx(1.659284629648838) q[2];
rz(1.4609328698194428) q[2];
rx(3.043745490297411) q[3];
rz(1.4816981805752807) q[3];
rx(-3.1110287893574307) 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[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIZIIIII",
"IIIZIZIIIII",
"ZIIZIIIIIII",
"ZIIIIIIIIIZ",
"IIIZIIIIIIZ",
"IIIIIZIIZII",
"IIIIIIIIZIZ",
"IIIIIZIZIII",
"ZIIIIIIZIII",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIIZZIIIII",
"ZIIIZIIIIII",
"IIIIZIIIIIZ",
"IIIIZIIZIII",
"IZIZIIIIIII",
"IZIIIIIIIIZ",
"IZIIZIIIIII",
"IIIIIZZII... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.166... | 0.971191 | [
-0.08909814621961584,
-1.1312884659544697,
-0.12314781244397735,
2.2672290665029617,
1.6592846296488382,
-0.10986345697545308,
3.043745490297411,
3.172156517822156,
0.36353004738655126,
3.1450524596702145,
-0.038661697462910316,
3.0801005329177116,
3.141981957918431,
0.20440514112806582,
... | {
"n_parameters": 29,
"n_qubits": 11,
"optimal_eigenvalue": -4.666666666666666,
"target_ratio": 0.97,
"target_value": -4.526666666666666
} | 4 |
3891428211511463459 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2], [0, 2, 4, 6], [0, 1], [4, 5], [4, 7], [0, 3], [1, 4]]} | {"states": [170, 168], "expectation_value": -2.8382847304891903, "params": null, "bitstrings": ["01010101", "01010111"], "total_optimization_steps": 62, "probabilities": [0.030415628871871592, 0.7800575205492319], "optimization_time": 88.81822061538696} | 0.5 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0000000000000004, "smallest_bitstrings": ["01010111"], "largest_eigenvalue": 4.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-6.253204243594601e-09) q[1];
cx q[2], q[1];
cx q[2], q[0];
rz(6.475528281455274e-09) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(-6.253204243594601e-09) q[0];
cx q[1], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(6.475528281455274e-09) q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIIIZZI",
"IIIIIZIZ",
"IIIIIIZZ",
"IIIZIZII",
"IIIZIIZI",
"IIIZIIIZ",
"IZIIIZII",
"IZIIIIIZ",
"IZIZIIII",
"IIZZIIII",
"ZIIZIIII",
"IIIIZIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIZIII"
] | [
0.5,
0.08333333333333333,
0.5,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.5,
0.1250000000000001,
0,
0.125,
0.125,
0.125,
0,
0,
0
] | 0.923077 | [
-6.253204243594601e-9,
6.475528281455274e-9,
1.5707963323374674,
-1.5707962969068883,
-1.570796312198592
] | {
"n_parameters": 5,
"n_qubits": 8,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 165 |
-4961275928088128771 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 8, 2, 4], [0, 2, 3, 4, 5, 6, 7], [1, 3, 4, 5, 6, 8], [8, 1, 2, 3], [1, 3, 4, 5, 6, 7], [0, 1, 5, 6, 7, 8], [8, 2, 5, 7], [0, 1, 3, 4]]} | {"states": [215, 315], "expectation_value": -0.8437763492710715, "params": [[-0.3335], [0.326]], "bitstrings": ["100101000", "011000100"], "total_optimization_steps": 40, "probabilities": [0.004144801177804728, 0.004175950545471808], "optimization_time": 6.7554755210876465} | 0.11666666666666667 * (Z(0) @ Z(8)) + 0.25 * (Z(2) @ Z(8)) + 0.10714285714285714 * (Z(2) @ Z(0)) + 0.11666666666666667 * (Z(4) @ Z(8)) + 0.19047619047619047 * (Z(4) @ Z(0)) + 0.10714285714285714 * (Z(4) @ Z(2)) + 0.11666666666666667 * (Z(3) @ Z(8)) + 0.10714285714285714 * (Z(3) @ Z(0)) + 0.10714285714285714 * (Z(3) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.7071428571428573], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6595238095238094, "smallest_bitstrings": ["011000100"], "largest_eigenvalue": 7.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[8], q[0];
rz(-0.022212149079597673) q[0];
cx q[8], q[0];
cx q[8], q[2];
rz(-0.03249649199431969) q[2];
cx q[8], q[2];
cx q[0], q[2];
rz(-0.008678141870349649) q[2];
cx q[0], q[2];
cx q[8], q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIIZ",
"ZIIIIIZII",
"IIIIIIZIZ",
"ZIIIZIIII",
"IIIIZIIIZ",
"IIIIZIZII",
"ZIIIIZIII",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZZIII",
"ZIIZIIIII",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIZZIIII",
"IIIZIZIII",
"ZIZIIIIII",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZIZIIII",
"IIZIIZIII",
"IIZZIIIII",
"... | [
0.11666666666666667,
0.25,
0.10714285714285714,
0.11666666666666667,
0.19047619047619047,
0.10714285714285714,
0.11666666666666667,
0.10714285714285714,
0.10714285714285714,
0.1738095238095238,
0.15,
0.05714285714285714,
0.10714285714285714,
0.09047619047619047,
0.09047619047619047,
0.... | 0.858118 | [
-0.022212149079597673,
-0.03249649199431969,
-0.008678141870349649,
-0.08944336877388333,
-0.787485938200713,
-0.016330354361911985,
-0.00035210677853622223,
-0.017097841551919294,
-0.00425951081599574,
-0.00013942944307165626,
-0.0003310610052779238,
0.00019251957114933807,
-0.0831157638732... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -1.7071428571428573,
"target_ratio": 0.97,
"target_value": -1.6559285714285716
} | 500 |
96c17e5b9e437bd6027ef84924d304b0 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 4, "source": 1, "target": 4... | {"states": [29679, 29695], "expectation_value": -15.473432642989431, "params": [0.3057, 0.0038, 0.29650000000000004, 0.0038, 0.30560000000000004, 0.0068000000000000005, 0.302, 0.0018000000000000002, 0.2995, -0.0038, 0.30110000000000003, -0.0016, -0.0019, 0.2209, -0.0049, 0.2049, 0.0, 0.17930000000000001, -0.008, 0.2341... | 0.5 * (Z(5) @ Z(7)) + 2.0 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(5)) + 1.0 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(5)) + 2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(6) @ Z(7)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(10) @ Z(7)) + 1.0 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(12) @ Z(10)) + 1.0 * (... | 7 | 15 | 3 | {"smallest_eigenvalues": [-44.99999999999951], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.28571428571351, "smallest_bitstrings": ["000110000000000"], "largest_eigenvalue": 89.99999999999997} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(1.5717496938795197) q[0];
rz(-0.0483845985868081) q[0];
rx(1.8295296743872704) q[1];
rz(0.1679667824397284) q[1];
rx(0.6223472136087964) q[2];
rz(-0.0483845985868081) q[2];
rx(-0.3135709789884892) q[3];
rz(-0.6947855963955014) q[3];
rx(0.16202849359472205) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZIIIII",
"IIIIIIZZIIIIIII",
"IIIIIIZIIZIIIII",
"IIIIIZIZIIIIIII",
"IIIIIZIIIZIIIII",
"IIIIIZZIIIIIIII",
"IIIIIIIZZIIIIII",
"IIIIIIIIZZIIIII",
"IIIIIIZIZIIIIII",
"IIIIIZIIZIIIIII",
"IIIIZIIZIIIIIII",
"IIIIZIZIIIIIIII",
"IIIIZZIIIIIIIII",
"IIZIZIIIIIIIIII",
"IIIZIIIZIIIIIII",
"... | [
0.5,
2,
1,
1,
0.5,
2,
0.5,
1,
1,
0.5,
0.5,
1,
0.5,
0.5,
1,
2,
1,
2,
1,
-0.5,
-1,
-0.5,
-0.5,
0.5,
-1,
-1,
-2,
-1,
-1,
1,
-2,
2,
0.5,
0.5,
1,
1,
1,
2,
0.8571428571428572,
0.5,
0.5,
1,
0.4285714285714286,
0.8571428571428572,
-0.14... | 0.979946 | [
1.5717496938795197,
-0.06818622567798124,
1.8295296743872704,
0.16202849359472205,
0.6223472136087962,
-0.3135709789884892,
-0.7985755123005158,
-0.09214060059646983,
1.5075671867118081,
0.13092230668604898,
1.0470381845236523,
0.357781273763045,
0.3312910660703533,
1.7741300470157695,
0... | {
"n_parameters": 51,
"n_qubits": 15,
"optimal_eigenvalue": -44.99999999999951,
"target_ratio": 0.97,
"target_value": -43.64999999999952
} | 104 |
58f2180ba6d9be6eae82fcbd77eed4c9 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 9},... | {"states": [0, 1792], "expectation_value": -0.3247503250368694, "params": [[0.0207], [-0.014400000000000001]], "bitstrings": ["11111111111", "00011111111"], "total_optimization_steps": 10, "probabilities": [0.0005200628547773304, 0.0005219218051284457], "optimization_time": 1.1467139720916748} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -3.5 * (Z(3) @ Z(5)) + 1.0 * (Z(8) @ Z(5)) + -3.0 * (Z(8) @ Z(3)) + 1.0 * (Z(9) @ Z(5)) + -3.0 * (Z(9) @ Z(3)) + 1.0 * (Z(9) @ Z(8)) + 1.0 * (Z(10) @ Z(5)) + -3.5 * (Z(10) @ Z(3)) + 0.5 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + -3.5 * (Z(4) @ Z(5)) + 1... | 1 | 11 | 1 | {"smallest_eigenvalues": [-35.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.0, "smallest_bitstrings": ["00011111111"], "largest_eigenvalue": 48.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-1.2693475545317798) q[0];
rz(pi/2) q[0];
ry(-0.2874418871047527) q[1];
ry(0.3238371278994494) q[2];
ry(0.011838344967576613) q[3];
ry(0.011838344967576613) q[4];
ry(-0.0730339721311416) q[5];
ry(-0.012664994594084763) q[6];
ry(-0.007957661282536723) q[7];
ry(0.0307... | 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[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]... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIZIZIII",
"IIZIIZIIIII",
"IIZIIIIZIII",
"IZIIIZIIIII",
"IZIIIIIZIII",
"IZZIIIIIIII",
"ZIIIIZIIIII",
"ZIIIIIIZIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIZZIIII",
"IIIIIIZZIII",
"IIZIIIZIIII",
"IZIIIIZIIII",
"ZIIIIIZIIII",
"IIIIZZIII... | [
-1.5,
0.5,
-1.5,
-3.5,
1,
-3,
1,
-3,
1,
1,
-3.5,
0.5,
0.5,
-3.5,
1,
0.5,
0.5,
-3.5,
0.5,
0.5,
-2.5,
-3,
1,
0.5,
0.5,
1,
-3,
-2.5,
0.5,
0.5,
0.5,
-3,
2,
-3,
-3,
1,
-3.5,
1.5,
-3
] | 0.97116 | [
-1.2693475545317798,
-0.2874418871047527,
0.3238371278994494,
0.011838344967576613,
-0.0730339721311416,
-0.012664994594084763,
-0.007957661282536723,
0.03071416258131042,
-0.12614866820274184,
-0.10961387978787893,
-1.4537528190281366,
0.1298137896409342,
2.1664934215859843,
2.08144190814... | {
"n_parameters": 39,
"n_qubits": 11,
"optimal_eigenvalue": -35,
"target_ratio": 0.97,
"target_value": -33.949999999999996
} | 20 |
7254169215238567323 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 7], [8, 3], [4, 5], [1, 4], [2, 5], [3, 6], [8, 1], [1, 2], [2, 3], [5, 6], [0, 5], [2, 6], [2, 4], [4, 7], [1, 3]]} | {"states": [170, 341], "expectation_value": -0.08790643282079119, "params": [[-0.0483], [0.061700000000000005]], "bitstrings": ["101010101", "010101010"], "total_optimization_steps": 10, "probabilities": [0.0021677070168179867, 0.0021677070168179867], "optimization_time": 3.047734022140503} | 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(0) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["101010101", "010101010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.1029375017709846) q[0];
rz(1.450543554355411) q[0];
rx(0.37518783285338) q[1];
rz(1.9239359551617516) q[1];
rx(2.574825563600292) q[2];
rz(1.8152779540204484) q[2];
rx(0.62669555186896) q[3];
rz(1.4517292677564075) q[3];
rx(1.5301709881935481) q[4];
rz(1.5068221067... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[7], q[8];
rz(x0) q[8];
cx q[7], q[8];
cx q[8], q[3];
rz(x0) q[3];
cx q[8], q[3];
cx q[7], q[4];
rz(x0) q[4];
cx q[7], q[4];... | null | {"circuits": [], "gradients": []} | [
"ZZIIIIIII",
"ZIIIIZIII",
"IZIIZIIII",
"IIIZZIIII",
"ZIIIIIIZI",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIZII",
"IIIIIIZZI",
"IIZIIZIII",
"IIZZIIIII",
"IIZIIIZII",
"IIIZIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.972153 | [
2.1029375017709846,
-0.12025277243948598,
0.37518783285338003,
0.35313962836685503,
2.574825563600292,
0.24448162722555256,
0.6266955518689599,
-0.11906705903848933,
1.5301709881935481,
-0.06397422004945155,
-0.14043161561669654,
0.21507167211230502,
1.6543218444673125,
0.05146266918280673... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 98 |
ef86cdfaf327bff6279da2b2e63cb516 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [100, 19], "expectation_value": -0.301421066918548, "params": [[-0.027800000000000002, -0.028200000000000003, -0.001, -0.0458], [0.030000000000000002, 0.0419, 0.0014, 0.033600000000000005]], "bitstrings": ["0011011", "1101100"], "total_optimization_steps": 10, "probabilities": [0.00944176478872185, 0.0094629... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(5) + -1.0 * Z(1) + -0.5 * Z(6) + -0.5 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["0111010", "0011011", "1101100"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.3294273376932007) q[0];
h q[1];
ry(-0.09351612922936302) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.632448645206053) q[3];
h q[4];
ry(1.3294273376932007) q[4];
cx q[4], q[2];
ry(0.022376937123773526) q[2];
cx q[4], q[2];
ry(-0.05801539275043973) q[2];
rz(-pi) q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IZIIIIZ",
"IIIZIZI",
"IZIIIZI",
"ZIIZIII",
"ZIIIIZI",
"IIZIZII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1,
-1,
-0.5,
-0.5
] | 0.994772 | [
-1.632448645206053,
-1.662979958513898,
-1.4549032604417602,
1.3294273376932007,
-1.1144399248686607,
0.6136168687261874,
-0.04475387424754705,
-0.47034710208353786,
0.5913181929216926,
-0.42901955319133867,
0.15395367542431893,
-0.11775997548360093,
0.1127100693980449,
0.26797101269760465... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
ac2ea1094fd85ddc315d8a667b08edeb | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1205, 1077], "expectation_value": -115.44201932823226, "params": [0.4932, 0.4934, -0.0037, 0.0024000000000000002, -0.004, -0.0009000000000000001, 0.20040000000000002, 0.1975, 0.2217, 0.21180000000000002, 0.4974, 0.48950000000000005, 0.4849, 0.48500000000000004, 0.0912, 0.07880000000000001, 0.496200000000000... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(5) @ Z(0)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(3) @ Z(6)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(4) @ Z(6)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(8) @ Z(3)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(9) @ Z(0)) + 7.0 * (Z(9) @ Z(5)) + 7.0 * (Z(10) @ Z(6)) + 7.0 * (Z(10) @ Z(3)) + 7.0 * (Z(10) @ Z(8)) + -6.0 * Z(... | 14 | 11 | 3 | {"smallest_eigenvalues": [-133.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -126.0, "smallest_bitstrings": ["01111001010"], "largest_eigenvalue": 213.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.2632430851670808) q[0];
rz(pi/2) q[0];
ry(0.12993021580522207) q[1];
ry(0.16763037426273747) q[2];
ry(-0.04602967407662456) q[3];
ry(0.17421997354995167) q[4];
ry(0.6031324446328613) q[5];
ry(0.6117489584073454) q[6];
ry(-0.11296123801085688) q[7];
ry(0.4790066201... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIZIIIIZ",
"IIIIZZIIIII",
"IIIIZIIZIII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIZIZIIIIII",
"IIZIIIIZIII",
"IIZZIIIIIII",
"IZIIIIIIIIZ",
"IZIIIZIIIII",
"ZIIIZIIIIII",
"ZIIIIIIZIII",
"ZIZIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIIIIIIZI... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
-6,
14.5,
22.5,
28.5,
10.5,
3.5,
19.5,
-4,
1,
14,
-11
] | 0.97788 | [
0.2632430851670808,
0.12993021580522207,
0.16763037426273747,
-0.04602967407662456,
0.17421997354995167,
0.6031324446328613,
0.6117489584073454,
-0.11296123801085688,
0.4790066201077588,
0.044277743649393825,
0.49494763404383546,
0.49957774490976903,
0.20979379430664902,
0.0129017877657970... | {
"n_parameters": 128,
"n_qubits": 11,
"optimal_eigenvalue": -133,
"target_ratio": 0.97,
"target_value": -129.01
} | 10 |
-7484298337724277742 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 3, 4], [4, 6, 7], [0, 1, 6, 8], [1, 2, 4, 5, 8], [0, 3, 7], [0, 1, 2, 4, 5], [1, 3, 5], [1, 2, 6, 7, 8]]} | {"states": [462, 381], "expectation_value": -1.0013371084233982, "params": [[0.3649], [-0.3503]], "bitstrings": ["000110001", "010000010"], "total_optimization_steps": 40, "probabilities": [0.005524820994871014, 0.005861090947314622], "optimization_time": 3.9789717197418213} | 0.23333333333333334 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.18333333333333335 * (Z(4) @ Z(2)) + 0.18333333333333335 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.05 * (Z(6) @ Z(2)) + 0.13333333333333333 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.05 * (... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.1000000000000005], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.016666666666667, "smallest_bitstrings": ["010000010"], "largest_eigenvalue": 7.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.06543338057065612) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.0607158633864041) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.02612099065051618) q[3];
cx q[1], q[3];
h q[4];
cx q[2], q[4];
rz(-0.02837247704092144) 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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIZIIIZII",
"IIZIIIIZI",
"IIZIZIIII",
"IZIIIIZII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIZIIIIIZ",
"IZIIIIIIZ",
"ZIIIIIZII",
"... | [
0.23333333333333334,
0.08333333333333333,
0.25,
0.18333333333333335,
0.18333333333333335,
0.08333333333333333,
0.05,
0.13333333333333333,
0.16666666666666666,
0.05,
0.05,
0.16666666666666666,
0.16666666666666666,
0.21666666666666667,
0.05,
0.13333333333333333,
0.16666666666666666,
... | 0.971802 | [
0.06543338057065612,
-0.0607158633864041,
-0.02612099065051618,
-0.02837247704092144,
0.010824868184843822,
-0.12653990939814522,
0.006179514975604442,
-0.1007693783578821,
-0.026372270924933924,
0.16324448324305804,
1.384469728855877,
-1.5377126116466213,
1.5057825483702934,
1.23810755077... | {
"n_parameters": 19,
"n_qubits": 9,
"optimal_eigenvalue": -2.1000000000000005,
"target_ratio": 0.97,
"target_value": -2.0370000000000004
} | 73 |
339c7fe0000b9f3d24083d98998c20d8 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 1, "target": 4}, {"capaci... | {"states": [1, 17], "expectation_value": -5.179663414564005, "params": [[-0.052700000000000004, -0.0585, -0.0565, -0.0558], [0.060700000000000004, 0.0679, 0.07060000000000001, 0.0737]], "bitstrings": ["111110", "101110"], "total_optimization_steps": 10, "probabilities": [0.04979975992676748, 0.07439730797602653], "opti... | -1.5 * (Z(0) @ Z(3)) + -2.25 * (Z(4) @ Z(3)) + -1.75 * (Z(4) @ Z(0)) + 3.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -1.25 * Z(3) + -0.25 * Z(0) + -2.75 * Z(4) + 3.0 * Z(5) + 1.75 * Z(1) + -0.5 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "smallest_bitstrings": ["101110"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.2133399821377441) q[0];
rz(-pi) q[0];
h q[1];
ry(0.7495760698632566) q[1];
h q[2];
ry(-0.08887877219422799) q[3];
rz(-pi) q[3];
ry(-0.19278541536231975) q[4];
rz(-pi) q[4];
h q[5];
ry(1.391295280431935) q[5];
cx q[5], q[4];
ry(-0.3176700012489248) q[4];
cx q[5], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IZZIII",
"IZIIIZ",
"ZIIIIZ",
"IZIIZI",
"ZIIIZI",
"IIZZII",
"IZIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIIZII"
] | [
-1.5,
-2.25,
-1.75,
3.5,
-1.25,
-0.5,
-0.5,
-1,
-1.25,
-0.25,
-2.75,
3,
1.75,
-0.5
] | 0.975641 | [
1.391295280431935,
-2.0329462789083035,
-1.6956809126815016,
-1.1529907529787395,
0.6353400024978496,
-0.45032158544803697,
-0.6578536032438583,
1.4991521397265133,
-0.28415573829494634,
-1.8771011169893437,
0.14516579000424013,
1.3509798685023018,
-0.8662456018688108,
-1.517406511507313,
... | {
"n_parameters": 23,
"n_qubits": 6,
"optimal_eigenvalue": -19.25,
"target_ratio": 0.97,
"target_value": -18.6725
} | 21 |
fc004364023d9de40312a47332ff3203 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [21, 34], "expectation_value": -0.18029188779659958, "params": [[0.0661], [-0.050100000000000006]], "bitstrings": ["101010", "011101"], "total_optimization_steps": 10, "probabilities": [0.016853790134818348, 0.016892389599862306], "optimization_time": 1.284496784210205} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -1.5 * Z(4) + -1.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["011101", "100111", "101011", "010111", "101110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.6127412305421492) q[1];
cx q[0], q[1];
ry(0.6127412305421492) q[1];
cx q[0], q[1];
ry(0.9064729368977194) q[0];
ry(-0.649182173265523) q[1];
h q[2];
ry(1.4324240142859173) q[2];
cx q[2], q[0];
ry(-0.23353815411777684) q[0];
cx q[2], q[0];
cx q[2], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(x0) q[5]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"IZIIZI",
"IZZIII",
"ZZIIII",
"IIZZII",
"ZIIZII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IZIIII",
"IIIZII"
] | [
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,
-1.5,
-1.5,
-1
] | 0.987812 | [
-1.5986606768365204,
-1.6185309131181278,
-1.6846005430182638,
1.4324240142859173,
-1.2254824610842985,
0.6729347827799425,
-0.5013102898575983,
0.4670763082355537,
-0.2957437668158493,
-0.01748577060486424,
-0.06482151295528986,
0.013714043898860342,
-0.001963044877672917,
0.1760142459784... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
-2226639762491799027 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2], [2, 3], [0, 5], [0, 2], [5, 6], [1, 3], [2, 6], [1, 5], [3, 4], [0, 1], [1, 6]]} | {"states": [104, 73], "expectation_value": -2.9650937202989383, "params": null, "bitstrings": ["0010111", "0110110"], "total_optimization_steps": 49, "probabilities": [0.04720135668873577, 0.7465366304011427], "optimization_time": 61.521867752075195} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(6) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["0110110", "1001001"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-0.1369595383976615) q[1];
h q[2];
ry(-0.23458860905649725) q[2];
cx q[0], q[2];
ry(0.23458860905649725) q[2];
cx q[0], q[2];
ry(1.4756437079383402) q[0];
ry(-1.2906329034168926) q[2];
h q[3];
h q[4];
ry(-0.1369595383976615) q[4];
cx q[3], q[4];
ry(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[6], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIIIZZI",
"IIIZZII",
"IIIZIZI",
"IIIIZIZ",
"IIIIIZZ",
"IZIIIZI",
"IZIIIIZ",
"ZIIIZII",
"ZIIIIZI",
"ZZIIIII",
"IIZZIII",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIZIIII"
] | [
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
] | 0.972708 | [
-0.273919076795323,
1.297252551046031,
-0.4691772181129945,
1.4756437079383402,
0.8179320863396154,
-0.7287082365781274,
-0.9657644560997793,
-1.3848132741129304,
0.547869401765332,
0.07143288982656797,
-0.7264789729632811,
0.265383413411085,
-0.6497368946342263,
-0.627049342508145,
-0.0... | {
"n_parameters": 41,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 11 |
cb3c7c022cb9712afc36cb282644505f | 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": 2}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [1, 93], "expectation_value": -0.8671394945784962, "params": [[-0.0148, -0.0396, -0.0477, -0.0451], [-0.0374, 0.028800000000000003, 0.049, 0.0568]], "bitstrings": ["11111110", "10100010"], "total_optimization_steps": 10, "probabilities": [0.00727003737218109, 0.0074634895400501385], "optimization_time": 7.44... | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.5 * (Z(1) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 9.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.05593693978555295) q[0];
h q[1];
ry(0.8325027637947161) q[1];
ry(-0.8447176576029565) q[2];
rz(-pi) q[2];
h q[3];
cx q[3], q[1];
ry(-0.8325027637947161) q[1];
cx q[3], q[1];
ry(1.423432331088275) q[3];
cx q[1], q[3];
ry(-1.423432331088275) 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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IZIIIZII",
"IZIIIIIZ",
"ZIIIIIIZ",
"IZIIIIZI",
"ZIIIIIZI",
"IIIIZZII",
"IZIIZIII",
"IIIIZIZI",
"IZZIIIII",
"ZIZIIIII",
"IIZIZIII",
"IIIZIZII",
"IZIZIIII",
"IIIZIIZI",
"IIZZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIII... | [
-0.5,
-0.5,
-0.5,
1.25,
-0.25,
-0.5,
-0.25,
-0.25,
-1,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-0.25,
-1.75,
0.5,
0.25,
0.25,
0.25,
1.5
] | 0.970999 | [
-1.5538160005865271,
0.1118738795711059,
1.332597151625219,
-0.7151947204322344,
1.6650055275894322,
1.4347340367888448,
0.6840029149260662,
2.84686466217655,
0.05568704231530569,
-0.6241530302607411,
-0.9067492641266692,
-0.07060525726786303,
-0.09520537964010672,
-0.3414856413179436,
0... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 59 |
9b3f50d83aeb4454c621f1b51fde8017 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [311, 310], "expectation_value": -95.88548697840835, "params": [0.37160000000000004, 0.39130000000000004, 0.997, 0.0007, 0.0016, 0.7424000000000001, -0.0036000000000000003, 0.6956, 0.9965, -0.0017000000000000001, 0.9979, 0.1763, 0.35100000000000003, 0.384, 0.9918, -0.004200000000000001, 0.9926, -0.1083000000... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(5) @ Z(7)) + 6.5 * (Z(9) @ Z(4)) + 6.5 * (Z(9) @ Z(7)) + 6.5 * (Z(8) @ Z(0)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(8) @ Z(9)) + 8.0 * Z(0) + 9.0 * Z(1) + -5.5 * Z... | 18 | 10 | 3 | {"smallest_eigenvalues": [-114.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -97.0, "smallest_bitstrings": ["1011001001"], "largest_eigenvalue": 194.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.084994154545554) q[0];
rz(0.8747404758758712) q[0];
rx(0.9991300148040825) q[1];
rz(-0.23375218542162746) q[1];
rx(-0.12677088827668476) q[2];
rz(0.7820269228148637) q[2];
rx(0.10538202709962693) q[3];
rz(0.6807416224898512) q[3];
rx(0.9172558360816085) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIZIIIIZI",
"IIZIIZIIII",
"IIZZIIIIII",
"IIIIZIIIIZ",
"IIIZZIIIII",
"IIZIZIIIII",
"ZIIIIZIIII",
"ZIZIIIIIII",
"IZIIIIIIIZ",
"IZIIZIIIII",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IIIIZIIIII"... | [
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,
8,
9,
-5.5,
12,
7,
19.5,
21.5,
11,
16,
-11
] | 0.975487 | [
-0.08499415454555398,
0.6921554782453074,
0.9991300148040825,
-0.23375218542162746,
-0.12677088827668476,
0.7820269228148637,
0.10538202709962693,
0.6807416224898512,
0.9172558360816085,
0.07460313789537466,
0.9151287079132162,
0.5761222310094511,
0.124983478053833,
0.3210043540029698,
1... | {
"n_parameters": 86,
"n_qubits": 10,
"optimal_eigenvalue": -114,
"target_ratio": 0.97,
"target_value": -110.58
} | 14 |
b7eaf66301f9b7c8d4f947444be4cce6 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7},... | {"states": [0, 1983], "expectation_value": -6.8445047888955015, "params": [0.40540000000000004, 0.0056, 0.2594, 0.015700000000000002, 0.40900000000000003, 0.0499, 0.27590000000000003, 0.22290000000000001, 0.40800000000000003, 0.029500000000000002, 0.28090000000000004, 0.2832, 0.4077, 0.1198, 0.2856, 0.272, 0.3752000000... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(10)) + -1.0 * (Z(2) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(10) + 0.5 * Z(9) + 0.5 * Z(3) + 0.5 * Z(2) + -0.5 * Z(4) | 6 | 11 | 3 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["00001000000"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.578546460595844) q[0];
rz(1.5649484018205557) q[0];
rx(1.1542170140655326) q[1];
rz(1.581686139949353) q[1];
rx(2.1475358534579922) q[2];
rz(1.6795510659400366) q[2];
rx(-3.0641522994748227) q[3];
rz(1.5784891660204154) q[3];
rx(0.3578417314936647) q[4];
rz(2.1032... | 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": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIZZIIIII",
"IIZZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIZZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIIIII",
"ZIIIIIIIIII",
"IZIIIIIIIII",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII"
] | [
-1,
-1,
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970109 | [
1.5785464605958441,
-0.005847924974340831,
1.1542170140655326,
0.010889813154456019,
2.1475358534579927,
0.10875473914514013,
3.219033007704764,
0.007692839225518923,
0.35784173149366477,
0.532490951004535,
-3.076591709036881,
0.44428642196002094,
0.04260169475956817,
0.8997983020971242,
... | {
"n_parameters": 55,
"n_qubits": 11,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 291 |
eaf152c9366c1fc70b9994ec462b6b4c | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [35, 7], "expectation_value": -3.9964640440510215, "params": null, "bitstrings": ["011100", "111000"], "total_optimization_steps": 23, "probabilities": [0.06634810230103094, 0.9303665171778082], "optimization_time": 14.231394052505493} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(3) + -1.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000", "011100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.6888090260409325) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.6888090260409325) q[3];
cx q[2], q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.6888090260409325) q[1];
cx q[2], q[1];
rz(0.6888090260409325) q[3];
cx q[0], q[3];
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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IIIZZI",
"IIZIZI",
"IZIIZI",
"ZIIZII",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1,
-1.5,
0,
-0.5
] | 0.97417 | [
0.6888090260409325,
-0.8365933516710795,
0.4055984428236141,
-0.5984647884441731,
0.6289659276331325,
0.03651754152469934,
-0.5975771749548225,
-0.20606642446438989,
0.7006882864312995,
-0.769960966506855,
-1.1910601522991142,
-0.06878545903780295,
-0.25779646726100014,
0.6591243819959086,... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 36 |
3d599008e6d247101eb02503201a8a05 | min_cut | 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": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 4, "so... | {"states": [3, 15], "expectation_value": -3.7234761311179265, "params": null, "bitstrings": ["11100", "10000"], "total_optimization_steps": 31, "probabilities": [0.07184116205466895, 0.8057247226415204], "optimization_time": 20.290053367614746} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(1) + -0.25 * Z(3) | 1 | 5 | 4 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["10000"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08055982018340721) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.08055982018340721) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(0.5225355503098899) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0805598201834072... | null | {"source": 0, "sink": 4} | {"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(1.57) 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;\nqubi... | [
"IIZIZ",
"ZIZII",
"ZIIIZ",
"IIZZI",
"IZZII",
"ZZIII",
"IZIZI",
"IIZII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IZIII"
] | [
-0.25,
-0.25,
0.5,
-1.5,
-0.25,
-0.5,
-1,
0.75,
-0.25,
-0.25,
0,
-0.25
] | 0.869132 | [
0.08055982018340721,
-0.35470681563137524,
0.5225355503098899,
1.1234973761473965,
1.3097500534732263,
0.06301837355841679,
0.0172289539833638,
1.175101985651543,
-0.050600734974519,
-0.913335335482333,
1.0536620339595795,
1.7102271339985182,
2.127471121365935,
-0.06929635052414747,
1.03... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 500 |
dff6b7c8d2fb1f633c6f93517d212741 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"sour... | {"states": [169, 201], "expectation_value": -4.650824851439032, "params": [0.794, -0.0038, 0.8078000000000001, -0.0025, 0.7926000000000001, -0.0034000000000000002, 0.8104, 0.0021000000000000003, 0.4097, 0.010100000000000001, 0.8033, 0.0008, 0.0323, 0.1438, 0.5369, -0.0082, 0.8063, -0.0005, 0.8002, -0.0007, 0.7992, -0.0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 *... | 4 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["011010110", "100110110", "011010101", "010110110", "101010101", "101010110"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.0248851847248763) q[0];
rz(1.9005718995252074) q[0];
rx(1.2414437211276284) q[1];
rz(1.5815018742078113) q[1];
rx(0.49352865777110705) q[2];
rz(1.7574091901703524) q[2];
rx(1.2633147388206505) q[3];
rz(1.470977649432669) q[3];
rx(0.4362500027912573) q[4];
rz(1.7918... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IIIIZIZII",
"IZZIIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IIIIIZZII",
"IIZZIIIII",
"IIIZZIIII",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIIZII",
"IIIIZIIII",
"IZIIIIIII",
"IIIIIZIII",
"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,
-2,
-1.5,
-1.5,
-1.5,
0,
-0.5,
-0.5
] | 0.976547 | [
1.0248851847248763,
0.3297755727303104,
1.2414437211276284,
0.010705547412914435,
0.493528657771107,
0.18661286337545596,
1.2633147388206505,
-0.09981867736222755,
0.43625000279125725,
0.2210784828520884,
1.49349526665746,
0.06394235203131918,
0.1613291339000753,
0.18810664053569454,
0.5... | {
"n_parameters": 51,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 19 |
fc004364023d9de40312a47332ff3203 | 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": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [24, 40], "expectation_value": -3.9741067800330327, "params": null, "bitstrings": ["100111", "010111"], "total_optimization_steps": 17, "probabilities": [0.07397901535923933, 0.9005745124139602], "optimization_time": 10.036495685577393} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -1.5 * Z(4) + -1.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["011101", "100111", "101011", "010111", "101110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.6127412305421492) q[1];
cx q[0], q[1];
ry(0.6127412305421492) q[1];
cx q[0], q[1];
ry(0.9064729368977194) q[0];
ry(-0.649182173265523) q[1];
h q[2];
ry(1.4324240142859173) q[2];
cx q[2], q[0];
ry(-0.23353815411777684) q[0];
cx q[2], q[0];
cx q[2], ... | 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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"IZIIZI",
"IZZIII",
"ZZIIII",
"IIZZII",
"ZIIZII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IZIIII",
"IIIZII"
] | [
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,
-1.5,
-1.5,
-1
] | 0.987812 | [
-1.5986606768365204,
-1.6185309131181278,
-1.6846005430182638,
1.4324240142859173,
-1.2254824610842985,
0.6729347827799425,
-0.5013102898575983,
0.4670763082355537,
-0.2957437668158493,
-0.01748577060486424,
-0.06482151295528986,
0.013714043898860342,
-0.001963044877672917,
0.1760142459784... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
480f421c6387c3fcdbf1678b1e5bdd17 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [204, 205], "expectation_value": -4.044057136931058, "params": [0.3078, -0.00030000000000000003, 0.3099, -0.00030000000000000003, 0.30920000000000003, -0.0008, 0.3074, -0.0027, -0.0015, 0.1625, 0.0011, 0.1683, -0.011000000000000001, 0.1733, -0.008700000000000001, 0.17020000000000002, 0.30770000000000003, 0.0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * Z(2) + -0.5 * Z(0) + -2.0 * Z(3) + -0.5 * Z(1) + -0.5 * Z(6) + -0.5 * Z(4) + -0.5 * Z(5) + 0.... | 7 | 8 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["00110010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.14667915167394932) q[0];
rz(0.02010323753109322) q[0];
rx(0.3789733592367156) q[1];
rz(-0.10703998132714215) q[1];
cx q[1], q[0];
rz(-0.07366788824786893) q[0];
cx q[1], q[0];
rz(1.5543990998452664) q[0];
ry(1.1983511881339493) q[0];
rz(-1.5940553656155225) q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IIIIZIZI",
"IZIIIIZI",
"IIIZIZII",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IZIIIIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-2,
-0.5,
-0.5,
-0.5,
-0.5,
0
] | 0.974047 | [
0.1466791516739493,
-0.0535646507167758,
0.3789733592367156,
-0.10703998132714215,
0.1316982170002294,
0.14135326005599647,
0.21204104261608653,
0.21946519351151042,
0.773725778233472,
-0.13772796296005252,
0.6814646257091219,
-0.029909323765990488,
0.17184979878113577,
0.41082787693602296... | {
"n_parameters": 106,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 14 |
ae89ed3cd3a3daf867ac1e5c76cb7bf2 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 5}, {"weight": 11, "source": 1, "target": 6}, {"weight": 19, "source": 1, "target": 4}, {... | {"states": [122, 118], "expectation_value": -9.410311349726452, "params": [[0.044500000000000005, 0.020900000000000002], [-0.047400000000000005, -0.042800000000000005]], "bitstrings": ["10000101", "10001001"], "total_optimization_steps": 10, "probabilities": [0.008737663665293077, 0.009126558258256076], "optimization_t... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(2) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(4) @ Z(5)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(6)) + 6.5 * Z(1) + 5.5 * Z(0) + 9.5 * Z(3) + 17.5 * Z(2) + 7.5 * Z(5) + 4.5 * Z(4) +... | 1 | 8 | 2 | {"smallest_eigenvalues": [-56.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -50.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 116.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.04487692059288387) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.04487692059288387) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.04487692059288387) q[2];
cx q[0], q[2];
rz(-1.407887416700282) q[0];
rx(-1.579746504261589) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"IIIIIZIZ",
"IIIIZZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6.5,
5.5,
9.5,
17.5,
7.5,
4.5,
13,
8
] | 0.980299 | [
0.04487692059288387,
1.674742329328149,
-1.4078874167002817,
1.524449490178519,
1.4439077735402985,
1.3531238677988078,
-1.3904882206449123,
1.365368687689991,
-1.5824772102595346,
-1.579746504261589,
0.6397278070183063,
0.013864599543888398,
-1.8275840771615182,
1.1558042727426383,
0.12... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -56,
"target_ratio": 0.97,
"target_value": -54.32
} | 48 |
b6a304d520c14d5694a43ad2063dd94f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "so... | {"states": [30, 15], "expectation_value": -0.29778569783823555, "params": [[-0.26940000000000003, 0.302, 0.0006000000000000001, 0.3034, -0.2675], [0.2635, 0.3025, 0.0016, 0.3058, -0.27030000000000004]], "bitstrings": ["00001", "10000"], "total_optimization_steps": 30, "probabilities": [0.07415441475837976, 0.0741621427... | -0.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + 1.25 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(4)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(2) + -0.25 * Z(4) + 0.25 * Z(3) | 9 | 5 | 2 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["10000"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.13743803027777515) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.5694632513900186) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.13743803027777515) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.06719014077107104) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cz q[4], q[3];
cz q[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"ZIIZI",
"ZIIIZ",
"IZIZI",
"IZZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
-0.5,
-2,
-0.5,
-0.25,
1.25,
-0.25,
-1.25,
-1.25,
0,
-0.25,
0.25,
-0.25,
0.25
] | 0.961404 | [
-0.13743803027777515,
-1.5694632513900186,
0.06719014077107104,
1.6592611721423123,
-0.07731326115708588,
-0.2931724668302063,
1.5177320101520593,
-1.3559685672286401,
-0.03723627267261057,
-1.2295121221910628,
-0.2434190042084019,
1.251513234547198,
-1.643211273080767,
-0.2196509142089397... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 500 |
d7d01055332214989e6d0d1158e981dc | 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": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2... | {"states": [120, 63], "expectation_value": -5.255448403482378, "params": [[-0.061700000000000005, -0.0698, -0.0512, -0.0489], [0.061900000000000004, 0.0717, 0.06430000000000001, 0.06570000000000001]], "bitstrings": ["0000111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.029677096630999968, 0.0439679... | -0.25 * (Z(0) @ Z(1)) + -1.75 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -0.25 * Z(1) + -0.25 * Z(0) + 3.25 * Z(3... | 1 | 7 | 4 | {"smallest_eigenvalues": [-12.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 20.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(0.056065987942702615) q[0];
ry(0.04731444554150925) q[1];
ry(0.13965633326414878) q[2];
ry(-0.09162924285059836) q[3];
ry(0.0747152677173499) q[4];
ry(1.6747361148983202) q[5];
ry(0.1222992208446019) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], 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",
"IIIZIZI",
"IIIZIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIZIII",
"IIIIZZI",
"IIZIZII",
"IZIZIII",
"ZZIIIII",
"IZIIZII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIZII",
"IIZIIII",
"IZIIIII"
] | [
-0.25,
-1.75,
-1.5,
-1,
2,
-1.5,
-0.75,
-0.5,
-1.5,
-1.75,
-1.75,
-1.5,
-0.25,
-0.25,
3.25,
-2.25,
1.5,
1,
-3
] | 0.971776 | [
0.056065987942702615,
0.04731444554150925,
0.13965633326414878,
-0.09162924285059836,
0.0747152677173499,
1.6747361148983202,
0.1222992208446019,
-0.027802478358916687,
-0.010982101536667798,
0.010716214130102548,
-0.003013292790767912,
-0.15205972769084672,
-0.06415202441498268,
0.0172702... | {
"n_parameters": 35,
"n_qubits": 7,
"optimal_eigenvalue": -12.75,
"target_ratio": 0.97,
"target_value": -12.3675
} | 39 |
91fd701868951eab612ba86420778b2e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [138, 170], "expectation_value": -1.9519028388895332, "params": [0.6017, 0.1459, 0.3477, 0.227, 0.4344, 0.1721, 0.0017000000000000001, 0.462, 0.6043000000000001, 0.0013000000000000002, 0.0029000000000000002, -0.41850000000000004, 0.5999, 0.0907, 0.2169, 0.19940000000000002, 0.602, 0.1311, 0.263, 0.2204, 0.42... | 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)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(6)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(4) @ Z(5... | 18 | 8 | 4 | {"smallest_eigenvalues": [-2.8125, -2.8125, -2.8125, -2.8125, -2.8125, -2.8125], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.8125, "smallest_bitstrings": ["01010110", "00110101", "01010101", "10010101", "00111100", "01110100"], "largest_eigenvalue": 5.1875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.6046606131929824) q[0];
rz(-pi) q[0];
ry(-0.2754248126532229) q[1];
rz(-pi) q[1];
ry(-1.397078670391102) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.7131691907790075) q[3];
cx q[3], q[2];
ry(0.10320605458857647) q[2];
cx q[3], q[2];
ry(-0.09157489833333138) q[3];
ry(-0.4233... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IIZIIIIZ",
"IIIZZIII",
"IZIIZIII",
"IIZIZIII",
"IZIZIIII",
"IIZZIIII",
"IZZIIIII",
"IIIZZIIZ",
"IZIIZIIZ",
"IIZIZIIZ",
"IZIZIIIZ",
"IIZZIIIZ",
"IZZIIIIZ",
"IZIZZIII",
"IIZZZIII",
"IZZIZII... | [
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.25,
0.25... | 0.970876 | [
-0.7131691907790075,
-0.6029729944224574,
-0.9519977999790217,
-0.0705116018152183,
-0.6867474283253041,
-0.7263254383589139,
-0.20641210917715294,
-0.18314979666666276,
1.246074321202835,
-0.16302890953712407,
0.9836842123631419,
-0.8467113254691783,
-0.29282426768644043,
0.51295746069054... | {
"n_parameters": 35,
"n_qubits": 6,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 32 |
655689708e73cb2de5fff319b9c5049e | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [43669, 21866], "expectation_value": -0.014418739047967335, "params": [[-0.0529], [0.06910000000000001]], "bitstrings": ["0101010101101010", "1010101010010101"], "total_optimization_steps": 10, "probabilities": [1.6169724401284977e-05, 1.616972440128498e-05], "optimization_time": 16.28447723388672} | 0.25 * (Z(0) @ Z(1)) + -0.0009259259259259261 * (Z(2) @ Z(0)) + -0.0009259259259259261 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0006172839506172839 * (Z(4) @ Z(0)) + -0.00046296296296296303 * (Z(4) @ Z(2)) + 0.0006172839506172839 * (Z(5) @ Z(1)) + -0.00046296296296296303 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.018209876543181], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0182098765431693, "smallest_bitstrings": ["1010101010010101"], "largest_eigenvalue": 2.016049382716032} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
ry(-0.3114576192495056) q[1];
cx q[0], q[1];
ry(0.3114576192495056) q[1];
cx q[0], q[1];
ry(-0.030618043159300785) q[0];
cx q[1], q[0];
ry(0.030618043159300785) q[0];
cx q[1], q[0];
ry(0.6769972329410875) q[0];
ry(-0.05626210454716797) q[1];
h q[2];
h q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(x0) q[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0009259259259259261,
-0.0009259259259259261,
0.25,
0.0006172839506172839,
-0.00046296296296296303,
0.0006172839506172839,
-0.00046296296296296303,
0.25,
-0.0009259259259259261,
-0.0006944444444444445,
-0.00046296296296296303,
-0.0009259259259259261,
-0.0006944444444444445,
-0.00... | 0.97036 | [
-0.1530126046139461,
-0.6079426493672848,
-0.6986865897845813,
-0.6229152384990112,
-0.19187308433866224,
-1.262129033882647,
-1.0406852453135558,
-1.503410570765852,
-0.42170585527000815,
0.258806616762688,
-0.8679451848812157,
1.047117295721072,
0.06747524180625496,
0.9195739993990667,
... | {
"n_parameters": 98,
"n_qubits": 16,
"optimal_eigenvalue": -2.0182098765431746,
"target_ratio": 0.97,
"target_value": -1.9576635802468794
} | 72 |
33f87d8b006507f35f4d20e43beeca46 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [223, 215], "expectation_value": -2.4037274944925704, "params": [0.0035, 0.0022, 0.23570000000000002, 0.2353, 1.2055, 1.1996, 1.2046000000000001, 1.096, 0.3307, 0.2046, 1.2038, 1.2018, 0.7441, 0.6865, 1.196, 0.9003, 1.1953, 1.1987, 1.2009, 1.2089, -0.0021000000000000003, 0.4736, 0.1746, 0.47590000000000005, ... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(5) @ Z(6) @ Z(7)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(8) @ Z(0)) + 0.125 * (Z(9) @ Z(0)) + 0.125 * (Z(8) @ Z(5)) + 0.125 * (Z(9) @ Z(5)) + 0.125 * (Z(8) @ Z(9)) + -0.125 * (Z(8) @ Z(0) @ Z(5)) + ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.625, "smallest_bitstrings": ["1011001000", "1100100100", "1011010000", "1101000100", "1011000100", "1010101000", "1100110000", "1100101000"], "largest_eigenvalue": 6... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.07519354267740673) q[0];
rz(pi/2) q[0];
ry(-0.18812279551855077) q[1];
ry(1.855515279352595) q[2];
ry(1.4044602365704797) q[3];
ry(0.2838727434886026) q[4];
ry(1.701214710409299) q[5];
ry(-0.003578028485843182) q[6];
ry(1.2376339021242693) q[7];
ry(1.205182580893... | OPENQASM 3.0;
include "stdgates.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",
"IIIIIZZIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IIZZZIIIII",
"IIIIZIIIIZ",
"IZIIIIIIIZ",
"ZIIIIIIIIZ",
"IZIIZIIIII",
"ZIIIZIIIII",
"ZZIIIIIIII",
"IZIIZIIIIZ",
"ZIIIZIIIIZ",
"ZZIIIIIIIZ",
"ZZIIZIIIII",
"ZZIIZIIIIZ",
"IIIIIIZIZI",
"IIIZIIIIZI",
"IZIIIIIIZI"... | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
... | 0.981396 | [
-0.07519354267740673,
-0.18812279551855077,
1.855515279352595,
1.4044602365704797,
0.2838727434886026,
1.701214710409299,
-0.003578028485843182,
1.2376339021242693,
1.2051825808938985,
1.7477730865506962,
0.09801498672843181,
1.3789841189409087,
0.4695867906549551,
-0.6046208251558453,
-... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 48 |
646c4ffdec7c3b688313fcfec6df6ea9 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [21, 28], "expectation_value": -0.05789719720731978, "params": [[-0.0688], [0.0716]], "bitstrings": ["101010", "100011"], "total_optimization_steps": 10, "probabilities": [0.01686273425676149, 0.01686273425676149], "optimization_time": 1.6911141872406006} | 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)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(3)) + -0.25 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["001110", "110001", "010101", "101010", "011100", "100011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(1.9669260845713552) q[0];
ry(0.1024795632901214) q[0];
rz(-1.7618896224722536) q[0];
rz(1.3195676915300085) q[1];
ry(2.675781808525202) q[1];
rz(-2.101131985716676) q[1];
rz(0.659445598074063) q[2];
ry(2.9276292745841843) q[2];
rz(-2.5769113250260087) q[2];
rz(-1.592... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZIIZI",
"ZIIZII",
"IZZIII",
"ZIZIII",
"ZZIIII",
"ZZZIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25
] | 0.973844 | [
-0.03861409541289346,
0.30559213356773784,
0.7326018024600061,
-0.06435106480608022,
0.9547122432617727,
-0.15670419204282596,
1.266054401368888,
0.002295537787968205,
-0.1307986670653961,
0.03183210554700622,
0.016147551089138828,
-0.018645541425944934,
1.0077607251862293,
1.0367697074034... | {
"n_parameters": 27,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 9 |
41c6fd253707f3493d5d4e5aa1da9109 | 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": 4, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, ... | {"states": [11, 1], "expectation_value": -1.6426613778495214, "params": [[-0.0558, -0.0468], [0.0626, 0.0562]], "bitstrings": ["11110100", "11111110"], "total_optimization_steps": 10, "probabilities": [0.007097426738523482, 0.008395549418018497], "optimization_time": 3.732269048690796} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(7) @ Z(1)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.28125291389735185) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.3738758539816298) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3738758539816298) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.28125291389735185) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIZIIIII",
"IIIIZIZI",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
-0.5,
-1,
-1,
-0.5,
-0.5,
-1,
-1,
-0.5,
-0.25,
-1,
-0.25,
-0.75,
3.25,
-0.25,
-0.25,
-1,
1.25,
-0.25,
-2,
1,
-0.5,
-1,
2.25,
-0.75
] | 0.512164 | [
-0.28125291389735185,
-0.3738758539816298,
-0.4435290057877126,
-0.2655182352206827,
0.17641094697920026,
0.5370834376657896,
-1.2333040601047265,
0.9898846684859016,
1.6266519609754448,
-1.1954762728719215
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 249 |
320a9f451400cc7b47c12eaef6b494ad | 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}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 3, "target": 7}, {"source": 4, "target": 5}, {"sour... | {"states": [63, 255], "expectation_value": -10.165243537192406, "params": null, "bitstrings": ["11000000", "00000000"], "total_optimization_steps": 100, "probabilities": [0.16245248585216635, 0.6240482061585408], "optimization_time": 181.25132870674133} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * (Z(3) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + -2.0 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + -1.0 * Z(1) + 1.0 * Z(0) + 0.5 * Z(5) + 0.5 * Z(2) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(3) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.5, -11.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.5, "smallest_bitstrings": ["00000000", "11000000"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.11121099487876307) q[0];
h q[1];
cx q[1], q[0];
ry(-0.11121099487876307) q[0];
cx q[1], q[0];
ry(1.9005127951188645) q[0];
ry(0.9697744760047474) q[1];
cx q[0], q[1];
ry(-0.3151379535739386) q[1];
cx q[0], q[1];
ry(0.03376800733837774) q[0];
ry(0.0912205692... | null | {"node": 2} | {"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(1.5706) q[5], 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] = mea... | [
"IIIIIIZZ",
"IIZIIZII",
"IZZIIIII",
"IZIIIZII",
"IIZZIIII",
"IIIZZIII",
"ZIZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIZIIII",
"IIIIZIII",
"ZIIIIIII"
] | [
-1.5,
-2,
0.5,
-1.5,
0.5,
-1.5,
-2,
0.5,
-2,
0.5,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970045 | [
0.22242198975752614,
1.5833833835302376,
1.221871739344734,
0.31278224306533864,
-0.15889160074238634,
0.6546365224308088,
1.9005127951188645,
0.6302759071478772,
0.12680146235901915,
4.454765029629368,
0.06753601467675548,
0.5729521628072354,
0.2788559316180219,
-0.06350641363951223,
-0... | {
"n_parameters": 49,
"n_qubits": 8,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 475 |
236eee02726333745789aca07c73fbad | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5}]} | {"states": [0, 30], "expectation_value": -9.33869498199856, "params": [-0.0334, 0.8847, 0.1119, 0.325, -0.6475000000000001, 0.6518, -0.2664, 1.4903000000000002, 0.6084, 0.9067000000000001, 0.5347000000000001, 1.6828, 0.6273000000000001, 0.8502000000000001, 0.6447, 1.8436000000000001, -0.5357000000000001, 0.776600000000... | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(1) + -0.5 * Z(4) | 6 | 5 | 2 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["00001"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(0.020655816308775096) q[0];
rz(2.72080401718914) q[0];
rx(-1.5889324921289438) q[1];
rz(2.2974262509286767) q[1];
rx(1.2092140805544014) q[2];
rz(2.5302179081483844) q[2];
rx(1.4716295835037456) q[3];
rz(2.5527127996416414) q[3];
rx(-0.49072718365226614) q[4];
rz(0.9... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIZIZ",
"IZZII",
"IZIIZ",
"IIZZI",
"IIIZZ",
"IZIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
-2,
-2,
-2,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.976382 | [
0.020655816308775096,
1.1500076903942438,
-1.5889324921289438,
0.7266299241337801,
1.2092140805544014,
0.9594215813534877,
1.4716295835037456,
0.9819164728467445,
-0.49072718365226614,
0.9227604098826407,
0.6291010245873265,
0.4424930737588961,
0.5527730480176062,
-0.05320108343876882,
0... | {
"n_parameters": 49,
"n_qubits": 5,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 75 |
2981235956450081384 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 3], [1, 2, 3, 5], [0, 5], [2, 4]]} | {"states": [44, 13], "expectation_value": -1.5033994196696974, "params": null, "bitstrings": ["010011", "110010"], "total_optimization_steps": 32, "probabilities": [0.061601806277099665, 0.8305018833570231], "optimization_time": 27.72593092918396} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.5 * (Z(... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.583333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["110010"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.5072082837930214) q[0];
h q[1];
ry(-0.24238389483036954) q[1];
h q[2];
h q[3];
ry(1.4358623946452895) q[3];
h q[4];
ry(-0.37447324586297104) q[4];
cx q[2], q[4];
ry(0.37447324586297104) q[4];
cx q[2], q[4];
ry(1.2588587945161398) q[2];
cx q[3], q[2];
ry(-0... | 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(1.1408) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IIIZZI",
"IIZIZI",
"ZIIZII",
"ZIIIIZ",
"ZIZIII",
"ZIIIZI",
"IZIZII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"ZIIIII",
"IZIIII"
] | [
0.16666666666666666,
0.25,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.5,
0.29166666666666663,
0.16666666666666663,
0.29166666666666663,
0.125,
0.1250000000000001,
0
] | 0.970014 | [
1.4358623946452895,
-0.7489464917259421,
1.0344142369522518,
-1.0144165675860428,
0.8265902347208891,
-0.39013445401106595,
-0.4362077278509229,
0.4488891151277761,
0.578973310869147,
-0.5657107325177729,
-0.3749709611834057,
0.23264948855755638,
0.15097463449337423,
-0.4847677896607391,
... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -1.583333333333333,
"target_ratio": 0.97,
"target_value": -1.535833333333333
} | 9 |
5f79bb35bd8dc69bae5409f6ad22880d | 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": 6, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 6}, {"weight": 19, "source": 0, "target": 2}, {"weight": 11, "source": 1, "tar... | {"states": [237, 234], "expectation_value": -27.954164304410245, "params": [[0.023, 0.0094, -0.0064], [-0.07060000000000001, -0.08170000000000001, -0.0611]], "bitstrings": ["100010010", "100010101"], "total_optimization_steps": 10, "probabilities": [0.007921573827939992, 0.009931222411933744], "optimization_time": 6.64... | 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(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(7)) + 18.5 * Z(1) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 160.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.17775491171863128) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.17775491171863128) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.17775491171863128) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.17775491171863128) 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[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZZIIIIIII",
"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,
18.5,
7.5,
17,
10,
9,
14,
3.5,
14.5,
3
] | 0.972269 | [
-0.17775491171863128,
0.7422707239645959,
-0.7137277656696318,
1.6903885489159691,
0.7844568988491945,
-0.5365404642561677,
1.9330020999914095,
-1.083635569950808,
1.1994395883958007,
-0.9472891092943098,
-0.0656266765701447,
0.20635363420558683,
0.5554917030294928,
-0.8286751457896198,
... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -78,
"target_ratio": 0.97,
"target_value": -75.66
} | 67 |
d250d8f4fdc760c6792fe044aba3c8f3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 4}, {"weight": 19, "source": 0, "target": 5}, {"weight": 20, "source": 1, "target": 2}, {... | {"states": [124, 122], "expectation_value": -17.400774566349998, "params": [[0.029900000000000003, 0.0184, 0.0001], [-0.048600000000000004, -0.0529, -0.0369]], "bitstrings": ["10000011", "10000101"], "total_optimization_steps": 10, "probabilities": [0.0120722394493476, 0.015001660862480124], "optimization_time": 5.5274... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 14.0 * Z(1) + 8.5 * Z(0) + 17.5 * ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-76.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0069419094292595285) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0069419094292595285) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0069419094292595285) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.0069419094292595285) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
14,
8.5,
17.5,
18,
14,
0.5,
6.5,
4.5
] | 0.980464 | [
0.0069419094292595285,
1.5961578357065018,
-1.39146175983926,
1.679134868928517,
1.731621971991924,
-1.762928847811424,
1.2889467312321607,
-1.5369584353342585,
-1.685715989040691
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -76.5,
"target_ratio": 0.97,
"target_value": -74.205
} | 29 |
a7fba5c7fdc2a0492603f740d30b0e3e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": ... | {"states": [4, 30], "expectation_value": -2.55823649346121, "params": [[[0.3154, -0.3121], [0.39580000000000004, 0.3109], [0.405, 0.1444], [0.4012, 0.0521], [0.4, 0.007], [0.23070000000000002, 0.4]], [[0.4025, 0.4073], [0.3977, -0.2621], [0.4052, -0.3371], [0.40490000000000004, -0.331], [0.011300000000000001, 0.0826], ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) + -1.5 * Z(5) | 15 | 6 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0038456229068963193) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.0038456229068963193) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0038456229068963193) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.0038456229068963193) q[0];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIZIIZ",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2,
-0.5,
-0.5,
0,
-1.5
] | 0.970195 | [
0.0038456229068963193,
0.03152788476359816,
0.5843677711496659,
0.07011294895722706,
-0.10747817429227481,
-1.040178437004815,
1.0646619051284048,
-1.0354563116757038,
0.017329488661321276,
0.04182312572303404,
1.035489171615615,
0.18311382064276116,
-0.27304283047034755,
-1.02584056551815... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -2.6875,
"target_ratio": 0.97,
"target_value": -2.606875
} | 194 |
bbe36c72142a04c8b1698fed3f77c25c | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [57, 60], "expectation_value": -0.1526008804413294, "params": [[-0.019200000000000002, -0.0732, -0.0707], [-0.046700000000000005, 0.0658, 0.0669]], "bitstrings": ["1000110", "1000011"], "total_optimization_steps": 10, "probabilities": [0.010132627764609364, 0.010132627764609369], "optimization_time": 9.99062... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 1 | 7 | 3 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.25, "smallest_bitstrings": ["0101100", "1001001", "0100110", "1000110", "1000011", "0101001"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016228639223514973) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.016228639223514973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.016228639223514973) q[2];
cx q[0], q[2];
rz(-1.196649630207868) q[0];
rx(1.6249956830407981) q[0];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIIZZII",
"IIZIZII",
"IIZZIII",
"IIIZZIZ",
"IIZIZIZ",
"IIZZIIZ",
"IIZZZII",
"IIZZZIZ",
"IIIIZZI",
"IZIIIZI",
"ZIIIIZI",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"IZIIZZI",
"ZIIIZZI",
"ZZIIIZI",
"ZZIIZII",
"ZZIIZZI",
"IZIZIII",
"ZIZ... | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
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,
-0.125,
0.25,
-0.125,
-0.125,
-0.125,
-0.125
] | 0.981439 | [
-0.016228639223514973,
1.522688419965938,
-1.1966496302078677,
1.624995683040798,
-0.8755811242009026,
0.7452257823272057,
0.2393407597375708,
0.22077208961471634
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
0f435eed505f807fb8dc44643dfd43ce | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 22, "source": 0, "target": 2}, {"weight": 25, "source": 0, "target": 3}, {"weight": 2, "source": 1, "target": 2}, {"weight": 24, "source":... | {"states": [415, 413], "expectation_value": -5.035185063556209, "params": [0.42400000000000004, 0.0184, 0.42310000000000003, 0.0024000000000000002, 0.36560000000000004, 0.0267, 0.3659, 0.0059, 0.20770000000000002, -0.1273, 0.2084, -0.1403, 0.18910000000000002, -0.1547, 0.1832, -0.1661, 0.4138, 0.0234, 0.4189, 0.0056, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.366669122515066) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.366669122515066) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.366669122515066) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.366669122515066) q[3];
cx q[0], q[3];
h q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.608376 | [
0.366669122515066,
0.6186240853904678,
-0.8045916182441789
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 106 |
251c225029b23900c5d41a0a241e8f62 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [48, 65], "expectation_value": -1.7534945796787524, "params": [[-0.1542], [0.16670000000000001]], "bitstrings": ["1001111", "0111110"], "total_optimization_steps": 20, "probabilities": [0.013338549501269717, 0.013338549501269724], "optimization_time": 1.763096809387207} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(1) + -0.5 * Z(0) + -0.5 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["1001111", "0110111", "1101011", "0111011", "1100111", "0111101", "0111110", "1101101"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.4736268371542338) q[0];
rz(-0.122847111341981) q[0];
ry(1.447375041311368) q[1];
rz(-0.21821365704593082) q[1];
cx q[1], q[0];
ry(-0.6970336969324273) q[0];
rz(0.18220853940307208) q[0];
ry(0.6588213546960189) q[1];
rz(0.2338143718655757) q[1];
ry(1.82391628025566... | 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[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIZI",
"IIZIIZI",
"IIZZIII",
"IZIIIZI",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-0.5,
-1.5,
-1.5,
-1.5,
-2
] | 0.973828 | [
0.4736268371542338,
-0.122847111341981,
1.447375041311368,
-0.21821365704593082,
1.8239162802556628,
0.14945613049568937,
-0.2763167545219362,
-0.21216148033448293,
0.06994388806984095,
0.16160993324535441,
-0.008597506656845258,
0.18272944424579318,
-0.04179338265250071,
0.997951130456255... | {
"n_parameters": 92,
"n_qubits": 13,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 152 |
421dc0e0e103964520cbb860ec0bda39 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 13, "source": 1, "target": 4}, {"weight": 18, "source": 1, "target": 2}, {"weight": 10, "source": 2, "tar... | {"states": [250, 218], "expectation_value": -79.54107809302629, "params": [0.5506, 0.0054, 3.1617, 0.001, 3.1617, 0.0047, 1.5631000000000002, 0.009000000000000001, 3.1613, 0.0051, 3.1617, 0.0078000000000000005, 0.19090000000000001, 0.0041, 3.1619, 0.00030000000000000003, 0.7655000000000001, 0.0037, 0.004200000000000001... | 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(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-87.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 168.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.012388340079966701) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.012388340079966701) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.012388340079966701) q[2];
cx q[0], q[2];
rz(-0.6660843671540144) q[0];
rx(-0.08320873170170164) q[0];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIZII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
22.5,
2.5,
11,
9.5,
20.5,
14.5,
1,
14,
5
] | 0.970483 | [
0.012388340079966701,
1.4693534097425147,
-0.6660843671540132,
1.5899166718533837,
-0.9827053235728226,
2.2753017489986824,
1.3405976084313063,
0.09933892985721386,
0.4564329047357902,
0.241168567412698,
-0.08320873170170155,
0.011261907487312017,
-0.2729051234428472,
-0.9991115616669448,
... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -87,
"target_ratio": 0.97,
"target_value": -84.39
} | 80 |
34fec832591d56601cbd146a15fec9ed | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [67, 83], "expectation_value": -2.453258256715654, "params": [0.801, 0.0058000000000000005, 0.3156, 0.40900000000000003, 0.8001, 0.2878, -0.0114, 0.4591, 0.18460000000000001, 0.5191, 0.7992, 0.265, 0.8066, -0.0037, 0.8089000000000001, 0.0043, 0.3109, 0.0057, 0.799, 0.007200000000000001, -0.009300000000000001... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + 0.0 * Z(2) + -0.5 * Z(1) + -0.5 * Z(6) + -0.5 * Z(5) | 3 | 7 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101100"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.08399526504899095) q[0];
rz(0.2825788937886795) q[0];
rx(0.7951459296419685) q[1];
rz(0.2003437432581271) q[1];
rx(1.0221893354097433) q[2];
rz(-0.3092263127594003) q[2];
rx(1.0231214214866293) q[3];
rz(0.10389188217607151) q[3];
rx(0.970134509765303) q[4];
rz(0.1... | 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": []} | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"IIIIZZI",
"ZIIZIII",
"ZIIIIZI",
"IZIZIII",
"IZZIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IIIIIZI",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1,
0,
-0.5,
-0.5,
-0.5
] | 0.974076 | [
-0.08399526504899095,
0.11179873042160347,
0.7951459296419685,
0.2003437432581271,
1.0221893354097433,
-0.3092263127594003,
1.0231214214866293,
0.10389188217607151,
0.970134509765303,
0.1704895690175754,
0.36114319075678797,
0.4543183591063792,
0.6989834795043587,
-0.038232563756867066,
... | {
"n_parameters": 93,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 9 |
db350f4c6cc12fe7a27604bdeac9089b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 1, ... | {"states": [3, 1], "expectation_value": -0.31468326693298354, "params": [[-0.037700000000000004, -0.0238], [0.0478, 0.025500000000000002]], "bitstrings": ["11111100", "11111110"], "total_optimization_steps": 10, "probabilities": [0.004892602616110879, 0.004985577152682737], "optimization_time": 3.4650559425354004} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(3) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + 1.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + -1.75 * Z(1)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-11.0, -11.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["11111110", "11111100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.4275268824029438) q[0];
h q[1];
ry(-1.5652080334247682) q[1];
ry(-0.03368310796321593) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.5652080334247682) q[3];
h q[4];
ry(-1.6531305993622973) q[4];
h q[5];
ry(-1.5652080334247682) q[5];
h q[6];
h q[7];
cx q[7], q[0];
ry(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIZIIIZI",
"IIZIZIII",
"IIIZIIZI",
"IIIZIZII",
"IIIZZIII",
"ZIIIIIIZ",
"ZIZIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
-0.25,
-1,
-0.25,
-0.75,
-0.75,
-1.75,
-0.5,
-0.75,
-0.25,
-0.25,
1.5,
-0.25,
-0.75,
-1.75,
-0.25,
0.25,
0.25,
-0.5,
0,
1.25,
0.75
] | 0.972524 | [
-1.5652080334247682,
-0.8550537648058876,
1.3145543956205288,
-0.8916018977800446,
-1.5187606997036145,
-1.6531305993622973,
0.19570433574163723,
-0.335754560642802,
-0.0367050382561322,
-0.08837873644366767
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 10 |
53a8c0cf2a7004135083ccd4d37224c0 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 5, "source": 1, "target": 3}, {"capac... | {"states": [511, 1], "expectation_value": -0.9876224612984673, "params": [[0.07740000000000001], [-0.0804]], "bitstrings": ["1000000000", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0017956224001434383, 0.0018697336028487147], "optimization_time": 8.37116003036499} | -0.75 * (Z(0) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -1.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -1.0 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(3)) + -1.25 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(7)) + -0.75 * (Z(8) @ Z(1)) + -1.0 * (Z(8) @ Z(5)) + -0.75 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(2)) + 1.75 * (Z(9) @ Z(0)) + -1.25 * (Z(9... | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3937649899035686) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.5449209860124933) q[3];
cx q[1], q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(-0.3937649899035686) q[5];
cx q[0], q[5];
cx q[5], q[3];
rz(-0.233029534320556) 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;
h q[0];
h q[1];
... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIZIIIIZ",
"IIIIIIZIZI",
"IIIIZIZIII",
"IIZIIIIIZI",
"IIZIIIZIII",
"IIIIIIZZII",
"IIZIIIIZII",
"IZIIIIIIZI",
"IZIIZIIIII",
"IZZIIIIIII",
"IZIIIIIZII",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"IIIIIZZIII",
"IIZIIZIIII",
"IIIZIIIIZI",
"IIZZIIIIII",
"IZIZIIIIII",
"IIIZIZIIII"... | [
-0.75,
-0.75,
-1.25,
-0.25,
-1,
-1,
-1.25,
-0.75,
-0.75,
-1,
-0.75,
-0.75,
1.75,
-1.25,
-1.75,
-0.25,
-0.5,
-0.75,
-0.75,
-0.25,
0.25,
-0.25,
0.5,
1,
0,
0,
-1,
0.5,
0.25,
-1.25
] | 0.502613 | [
-0.3937649899035686,
-0.5449209860124933,
-0.233029534320556,
-0.6096635648363427,
1.136940308013254,
-0.8301784102597307,
-0.39350938612529324,
0.1079665867741894,
0.28812347604833055,
0.29559276647894484,
-0.050833212523764076,
-0.8987863217323688
] | {
"n_parameters": 12,
"n_qubits": 10,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 277 |
bd4c1476c3aa7cafea7811e124c4791d | 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": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [246, 127], "expectation_value": -7.233963664700546, "params": null, "bitstrings": ["00001001", "10000000"], "total_optimization_steps": 76, "probabilities": [0.1652386625665458, 0.5947143181571917], "optimization_time": 105.69182181358337} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.0671841118139862) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.031280402529584396) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.11694415727298718) q[4];
cx q[1], q[4];
h q[5];
cx q[1], q[5];
rz(0.031280402529584396) ... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[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[... | [
"IIIIIIZZ",
"IIIIZIIZ",
"ZIIIIIIZ",
"ZIIIZIII",
"IIIZIIZI",
"IIIZZIII",
"ZIIZIIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"IIIIZZII",
"ZIIIIZII",
"IIZIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIZI... | [
-0.5,
-0.75,
1.5,
-0.5,
-1,
-1,
-0.75,
-0.75,
-0.25,
-0.5,
-0.25,
-1,
-0.25,
-0.5,
-0.5,
1.75,
-0.25,
0.5,
-0.25,
-1.25,
0.5,
-1.25,
0.25
] | 0.936479 | [
-0.0671841118139862,
0.031280402529584396,
-0.20947139556786867,
-0.11694415727298718,
-0.03287291360094323,
1.1816672253993616,
1.1537478745059475,
0.9880219403892836,
1.157821183267566,
-1.6276462451756408,
-0.38641150402430224,
0.1639648636376219,
0.761666511676907,
-0.6557486395688252,... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 500 |
2980076936474430414 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 5], [1, 7], [2, 3, 5, 6, 7], [4, 7], [2, 3, 4, 6], [0, 6]]} | {"states": [55, 23], "expectation_value": -2.1285200869854135, "params": null, "bitstrings": ["11001000", "11101000"], "total_optimization_steps": 64, "probabilities": [0.1333828642868042, 0.6119897156984446], "optimization_time": 111.53703594207764} | 0.5 * (Z(4) @ Z(5)) + 0.05 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.05 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.05 * (Z(2) @ Z(7)) + 0.05 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(4)) + 0.05 * (Z(3) @ Z(7)) + 0.13333333333333333 * (Z(3) @ Z(2)) + 0.05 * (Z(6) @ Z(5)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.366666666666667, -2.366666666666667, -2.366666666666667], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.25, "smallest_bitstrings": ["11011000", "01001010", "11101000"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.10495408460183374) q[0];
h q[1];
ry(-0.10495408460183374) q[1];
h q[2];
ry(-0.29104434297551995) q[2];
ry(-2.4118059566134997) q[3];
rz(-pi) q[3];
h q[4];
ry(-0.3040752875079997) q[4];
h q[5];
cx q[5], q[4];
ry(0.3040752875079997) q[4];
cx q[5], q[4];
ry(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[6], q[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... | [
"IIZZIIII",
"ZIZIIIII",
"ZIIZIIII",
"ZIIIIIZI",
"IIZIIZII",
"IIIZIZII",
"ZIIIIZII",
"IIZIZIII",
"IIIZZIII",
"ZIIIZIII",
"IIIIZZII",
"IZZIIIII",
"IZIZIIII",
"ZZIIIIII",
"IZIIIZII",
"IZIIZIII",
"IZIIIIIZ",
"IIZIIIII",
"IIIZIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIIZII... | [
0.5,
0.05,
0.5,
0.5,
0.05,
0.08333333333333333,
0.05,
0.05,
0.08333333333333333,
0.05,
0.13333333333333333,
0.05,
0.08333333333333333,
0.05,
0.13333333333333333,
0.13333333333333333,
0.5,
0.1000000000000002,
0.12499999999999978,
0.10000000000000009,
0,
0.22499999999999995,
... | 0.970789 | [
-0.20990816920366748,
1.1909338143415538,
-0.6428984879676235,
1.102784145185628,
-0.6081505750159995,
1.0152256571225675,
-0.46778315328154907,
0.6696051979174614,
-0.8173869214467746,
0.31649972882245886,
0.4932243639132196,
-0.12886886068639317,
-0.4434654075271181,
-0.35799015942197937... | {
"n_parameters": 53,
"n_qubits": 8,
"optimal_eigenvalue": -2.366666666666667,
"target_ratio": 0.97,
"target_value": -2.295666666666667
} | 26 |
4187cb356e6f58a0c6714f20153352eb | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "s... | {"states": [255, 1], "expectation_value": -0.726817945227476, "params": [[0.061900000000000004, -0.0018000000000000002], [-0.060200000000000004, -0.029500000000000002]], "bitstrings": ["100000000", "111111110"], "total_optimization_steps": 10, "probabilities": [0.00286132222997287, 0.0029000217223389183], "optimization... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -1.5 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(5)) + 1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(4) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-11.0, -11.0, -11.0, -11.0, -11.0, -11.0, -11.0, -11.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -10.0, "smallest_bitstrings": ["111101110", "111101100", "111111110", "101111100", "111111100", "101101100", "101101110", "101111110"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-1.5081500063348694) q[0];
h q[1];
ry(0.8065816535019376) q[1];
h q[2];
ry(-0.7540750031674347) q[2];
h q[3];
ry(-0.7540750031674347) q[3];
h q[4];
ry(1.6131633070038751) q[4];
cx q[4], q[1];
ry(-0.8065816535019376) q[1];
cx q[4], q[1];
cx q[4], q[2];
ry(0.75... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIZIIZII",
"IIIZIIIZI",
"IIZIIIZII",
"IIZIIZIII",
"IIZIIIIZI",
"IIZZIIIII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIIIZIZII",
"IIIIZZIII",
"IIIZZIIII",
"IIZIZIIII",
"IZIIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"... | [
-0.25,
-0.75,
-0.75,
-0.5,
-1.5,
-0.25,
-0.5,
-0.25,
-1.5,
-0.75,
1.25,
-0.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-2,
-0.25,
-1.5,
1.5,
0,
-0.75,
0.5,
2,
0.5
] | 0.994759 | [
1.6131633070038751,
-1.5081500063348694,
1.454332119459762,
-1.566270194312548,
-1.4608687802827236,
0.027334740020596077,
-0.043700135081208874,
0.014272153998925395,
0.013217836416566887,
-0.14540721110637736,
-0.029155185286489253,
-0.06689160939984991
] | {
"n_parameters": 12,
"n_qubits": 9,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 1 |
08b9883600e02731f158b2b1d5d9c9bd | 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": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6... | {"states": [5, 1], "expectation_value": -11.594555195733763, "params": null, "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 29, "probabilities": [0.38383946216887405, 0.46981555290989097], "optimization_time": 24.929487228393555} | -1.25 * (Z(0) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + 3.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -1.25 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-18.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.75, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 15.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.1019184672717538) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.15303627208319998) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.2675488550582529) q[4];
cx q[0], q[4];
h q[5];
cx q[3], q[5];
rz(0.1019184672717538) q[5];
... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[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", "... | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"IZIZIII",
"IZIIIIZ",
"IZZIIII",
"ZIIZIII",
"ZIIIIIZ",
"ZIZIIII",
"IIZIZII",
"IZIIZII",
"ZIIIZII",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"IIIIZZI",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIIIZI"
] | [
-1.25,
-2,
-1.5,
-1.25,
-0.75,
-1,
-0.5,
3.75,
-0.25,
-1.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75,
-1.5,
-0.25,
-0.75,
2.25,
2.5,
-0.5,
-1.75
] | 0.971263 | [
0.1019184672717538,
0.15303627208319998,
0.2675488550582529,
0.46476512296611683,
0.035813695834919695,
0.09530007768597705,
-0.15852781068968608,
0.07033331248619396,
0.7362223705722715,
-0.13317956850501755,
0.8131478071893592,
1.5095742138254278,
0.1498296177374479,
0.3121760974810467,
... | {
"n_parameters": 48,
"n_qubits": 7,
"optimal_eigenvalue": -18.75,
"target_ratio": 0.97,
"target_value": -18.1875
} | 235 |
984069cd50d39f7e5d4b40fb03f5527d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [37, 101], "expectation_value": -1.3470218034468822, "params": [0.2255, 0.2159, 0.2713, 0.2619, 0.2983, 0.306, 0.1573, 0.15810000000000002, -0.0034000000000000002, 0.0014, 0.29700000000000004, 0.29660000000000003, 0.1728, 0.1733, 0.3004, 0.2963, 0.2058, 0.19770000000000001, 0.259, 0.2575, 0.3048, 0.304600000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(0)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(6) @ Z(7) @ Z(0)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (... | 14 | 8 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.25, "smallest_bitstrings": ["01101010", "10011010", "10011100", "01011010"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.013838034989187923) q[0];
cx q[5], q[0];
h q[6];
cx q[5], q[6];
rz(-0.013838034989187923) q[6];
cx q[5], q[6];
cx q[0], q[6];
cx q[5], q[4];
rz(-0.013838034989187923) q[4];
cx q[5], q[4];
rz(-1.5521706... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZIZII",
"IIZIIZII",
"IIZZIIII",
"IIZZIZII",
"IZZIIIII",
"IZIIIIIZ",
"ZIIIIIIZ",
"ZZIIIIII",
"ZZIIIIIZ",
"IIIIZIZI",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIIZIZI",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
0
] | 0.975354 | [
-0.013838034989187923,
-1.5521706068876595,
1.493710746939856,
1.1584724105134467,
-1.7018112302469781
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 25 |
9d0fda9991561362ccfc12e66c38b9f5 | 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": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [52, 50], "expectation_value": -3.996515641776755, "params": null, "bitstrings": ["001011", "001101"], "total_optimization_steps": 22, "probabilities": [0.06700895329531315, 0.9297461640992837], "optimization_time": 21.189751148223877} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(2) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(5) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "011100", "001011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.05915602651802649) q[0];
rz(-0.15469163530750052) q[0];
rx(3.4191362901712914) q[1];
rz(0.45246714787639103) q[1];
rx(0.17983961904902268) q[2];
rz(-0.05096309531274679) q[2];
rx(3.0050058723652) q[3];
rz(1.0763901855253808) q[3];
rx(3.085973281590634) q[4];
rz(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIIZZI",
"ZIIZII",
"ZIIIZI",
"IIZZII",
"ZIZIII",
"IZIZII",
"IZZIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-0.5,
-1,
-1,
-0.5
] | 0.971457 | [
-0.05915602651802648,
-0.1292100876511263,
3.4191362901712914,
0.45246714787639103,
0.17983961904902268,
-0.05096309531274679,
3.0050058723652,
1.0763901855253808,
3.085973281590634,
0.20126058805128294,
3.3609533359992207,
0.3973179116121901,
0.08371651178469919,
-0.042244168201899246,
... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 21 |
e4f5057259aaeddd1dd7f4f1ea49da8b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 3, "source": 1, ... | {"states": [0, 1], "expectation_value": -12.813451799785607, "params": [0.0031000000000000003, 0.2921, 0.3138, 0.056, 0.0038, 0.2922, 0.0037, 0.3047, 0.0036000000000000003, -0.24450000000000002, 0.0036000000000000003, 0.2933, 0.0025, 0.317, 0.4083, 0.005, 0.0019, 0.2942, 0.31820000000000004, 0.0886, -0.0006000000000000... | -1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -1.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.75 * (Z(1) @ Z(6)) + -1.5 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(7) @ Z(3)) + 4.25 * (Z(7) @ Z(0)) + 1.5 * Z(3) + -0.25 * Z(0) + -3.25 * Z(4) + -1.5 * Z(5) + -0.25... | 3 | 8 | 4 | {"smallest_eigenvalues": [-19.5, -19.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["11111110", "10111110"], "largest_eigenvalue": 18.5} | 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(0.022546435908237288) q[0];
cx q[3], q[0];
h q[4];
cx q[0], q[4];
rz(0.14518918596484848) q[4];
cx q[0], q[4];
h q[5];
cx q[0], q[5];
rz(0.022546435908237288) q[5];
cx q[0], q[5];
cx q[4], q[5];
rz(0.7517255380687702) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"IZIIIIZI",
"IIIIZZII",
"IIIZIZII",
"ZIIIZIII",
"ZIIIIIIZ",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"ZIIIIIII"
] | [
-1.25,
-1.5,
-1.25,
-0.25,
-0.5,
-1,
-0.75,
-1.5,
-1,
-0.75,
4.25,
1.5,
-0.25,
-3.25,
-1.5,
-0.25,
0.75,
-0.5,
3.5
] | 0.957735 | [
0.022546435908237288,
0.14518918596484848,
0.7517255380687702,
0.6453322187153919,
0.0005547510135491637,
0.01648942695497035,
-0.24567836598873122,
0.7103534844820352,
1.2276522599760762,
-0.7579580526703535,
-0.6595794244215516,
1.6514152238781217,
0.05475463053088248,
0.2385240506869008... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 500 |
a6b55510d801a5adbb40af21b637103f | 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": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5}, {"source": ... | {"states": [511, 255], "expectation_value": -12.194621309803667, "params": [[[0.0018000000000000002, -0.003], [-1.572, 1.5698], [-0.0025, 1.5658], [-0.0022, 0.0028], [0.0023, -0.0023], [0.002, 0.003], [0.002, 0.0018000000000000002], [0.0032, 0.0023], [1.7011, -0.0028], [0.0025, 0.0028]]], "bitstrings": ["1000000000", "... | 0.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(8)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2... | 15 | 10 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["1100000000"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.23074334202937433) q[0];
cx q[1], q[0];
rz(-1.6945576451742816) q[0];
rx(-0.8660449364081567) q[0];
rz(-1.6945576451742816) q[1];
rx(-0.8660449364081567) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-1.1627155476015958) q[2];
cx q[3], 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] ... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IZIIZIIIII",
"IZIZIIIIII",
"IIIZZIIIII",
"IZZIIIIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IZIIIIIIII",
"IIIIZIIIII",
"IIIZIIIIII"... | [
0.5,
-1.5,
-1.5,
0.5,
-2,
-2,
0.5,
-2.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.505572 | [
-0.23074334202937433,
-1.1627155476015958,
-0.9253551215159689,
-0.526037244139037,
-1.6945576451742816,
-0.8660449364081567
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 176 |
b91502863ddffd170e0084616022b75f | 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": 2, "target": 5}, {"source": 2, "target": 6},... | {"states": [2047, 1567], "expectation_value": -0.5275381648970461, "params": [[0.031100000000000003], [-0.0347]], "bitstrings": ["00000000000", "00111100000"], "total_optimization_steps": 10, "probabilities": [0.0005795557694840652, 0.0005843064848135356], "optimization_time": 3.0655107498168945} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + -2.5 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(7)) + -2.5 * (Z(8) @ Z(6)) + 1.0 * (Z(9) @ Z(7)) + -2.5 * (Z(9) @ Z(6)) + 1.0 * (Z(9) @ Z(8)) + -2.5 * (Z(10) @ Z(7)) + 1.5 * (Z(10) @ Z(6)) + -... | 1 | 11 | 1 | {"smallest_eigenvalues": [-24.0, -24.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -23.0, "smallest_bitstrings": ["00111100000", "00110000000"], "largest_eigenvalue": 26.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
ry(0.7362153943204753) q[1];
cx q[0], q[1];
ry(-0.7362153943204753) q[1];
cx q[0], q[1];
ry(0.6024487174615248) q[0];
cx q[1], q[0];
ry(-0.6024487174615248) q[0];
cx q[1], q[0];
h q[2];
ry(-0.22547132645593937) q[3];
rz(-pi) q[3];
h q[4];
ry(0.092257220... | 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[1], ... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIZIZIII",
"IIIIIZIIZII",
"IIIIIIZIZII",
"IIIIIZZIIII",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"IZIZIIIIIII",
"IZIIZIIIIII",
"IZZIIIIIIII",
"ZIIZIIIIIII",
"ZIIIZIIIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZI... | [
-1,
-2,
0.5,
-2.5,
0.5,
-1.5,
-2.5,
-2,
-2.5,
1,
-2.5,
1,
-2.5,
1.5,
-2.5,
-2.5,
0.5,
0.5,
-1,
-1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970175 | [
0.18451444018117732,
0.6403753577635032,
0.35454762885544416,
1.6176887095249661,
0.039038377035529266,
1.1207842229677545,
0.07620911795468864,
-0.6649662616889048,
0.2133347394399525,
0.6641972167258982,
1.0931447767143676,
-0.021715772449600268,
-1.0477477493625236,
-0.32989463213262277... | {
"n_parameters": 52,
"n_qubits": 11,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 212 |
43f346f2449aaad74bd3d1617b2cab32 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [86, 89], "expectation_value": -0.5007590493513951, "params": [[-0.0575, -0.0726, -0.064, -0.0375], [0.0541, 0.0726, 0.0724, 0.0637]], "bitstrings": ["0101001", "0100110"], "total_optimization_steps": 10, "probabilities": [0.01648878575926152, 0.016514727672007866], "optimization_time": 7.478444576263428} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2) @ Z(5)) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100110", "0101001"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.4099597405997399) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.4099597405997399) q[3];
cx q[0], q[3];
rz(0.5379425344598752) q[3];
rx(-1.0181627007712197) q[3];
h q[4];
cx q[2], q[4];
rz(0.4099597405997399) q[4];
cx q[2], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIZZIII",
"IIIZIIZ",
"IZIIIIZ",
"IZIZIII",
"IZIZIIZ",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"ZZIIZII",
"ZIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
-0.75,
0,
-0.25,
-0.5,
0,
-0.25
] | 0.756698 | [
0.4099597405997399,
-0.5276923746122105,
0.5379425344598753,
-0.15590122747147514,
-1.0181627007712197,
0.9194045375777744,
-1.0915528273895585,
-0.4028415862936717,
-0.5859290117404532
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 223 |
-2976835622803628861 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 9, 4, 7], [8, 1, 6, 7], [0, 6], [8, 2, 3, 4], [9, 5]]} | {"states": [886, 950], "expectation_value": -0.703500712999448, "params": [[0.47200000000000003], [-0.43410000000000004]], "bitstrings": ["0010001001", "0001001001"], "total_optimization_steps": 50, "probabilities": [0.0034912104147137176, 0.003491210414713718], "optimization_time": 3.53308367729187} | 0.08333333333333333 * (Z(0) @ Z(9)) + 0.08333333333333333 * (Z(4) @ Z(9)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(9)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.08333333333333333 * (Z(8) @ Z(4)) + 0.08333333333333333 * (Z(8) @ Z(7)) + 0.08333333333333... | 1 | 10 | 1 | {"smallest_eigenvalues": [-1.75, -1.75, -1.75, -1.75, -1.75, -1.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.666666666666667, "smallest_bitstrings": ["0010001001", "1110010000", "1101010000", "0001001001", "1000010010", "0000111000"], "largest_eigenvalue": 4.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[9], q[0];
rz(0.09580503815968644) q[0];
cx q[9], q[0];
cx q[9], q[4];
rz(0.09580503815968644) q[4];
cx q[9], q[4];
cx q[0], q[4];
rz(0.09580503815968644) q[4];
cx q[0], q[4];
cx q[9], ... | 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[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[9], q[0];
rz(x0) q[0];
cx q[9], q[0];
cx q[9], q[4];
... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"IIIIIZIIIZ",
"ZIZIIIIIII",
"IIZIIIIIIZ",
"IIZIIZIIII",
"IZIIIZIIII",
"IZZIIIIIII",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IIIZIIIIIZ",
"IIZZIIIIII",
"IZIZIIIIII",
"IIIZIIIIZI",
"IIIIIZIZII",
"IZIIIIIZII",
"IIIIIZZIII",
"IZIIIIZIII",
"IIIIIIZZII",
"ZIIIZIIIII"... | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333... | 0.818722 | [
0.09580503815968644,
1.5366008905754687,
0.01063491217559491,
1.378848091674804,
-0.011755859642892426,
-0.8420172565531986
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -1.75,
"target_ratio": 0.97,
"target_value": -1.6975
} | 153 |
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