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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
-7257905506358455938 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 3, 4], [0, 3, 5, 6], [8, 1, 2, 3], [1, 4, 7], [0, 1], [3, 4, 6, 7], [3, 4, 5], [8, 4, 5, 6], [2, 6, 7], [8, 2, 4, 5], [5, 6, 7], [2, 4, 7], [1, 6], [0, 2, 5], [8, 1, 4, 5], [1, 3, 7], [8, 1, 2, 7], [0, 4, 6, 7]]} | {"states": [311, 373], "expectation_value": -0.2325603510928786, "params": [[0.06960000000000001], [-0.064]], "bitstrings": ["011001000", "010001010"], "total_optimization_steps": 10, "probabilities": [0.0021824963308388944, 0.0022040572640944405], "optimization_time": 1.1313016414642334} | 0.25 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.08333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.416666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.333333333333334, "smallest_bitstrings": ["010001010"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.07596148255227216) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.04904189856782643) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.2504861800514403) q[3];
cx q[1], q[3];
h q[4];
cx q[2], q[4];
rz(0.2504861800514403) 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] 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 ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IIIZIIIIZ",
"IIZIIIZII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZIZIIII",
"IIZIIIIIZ",
"IIZZIIIII",
"... | [
0.25,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.5,
0.08333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.25,
0.41666666666666663,
0.25,
0.16666666666666666,
0.5,
0.16666666666666666,
... | 0.652885 | [
0.07596148255227216,
-0.04904189856782643,
0.2504861800514403,
0.5219105883728347,
-0.0842672438147829,
-0.030563881625463755,
1.4365300119040174,
0.40477044191384154,
-1.028152941599119,
1.400154724604584,
1.3985045337596136,
-1.0562257730442757
] | {
"n_parameters": 12,
"n_qubits": 9,
"optimal_eigenvalue": -4.416666666666666,
"target_ratio": 0.97,
"target_value": -4.284166666666666
} | 393 |
613ef125dc4e28340a6427c0ac6373f5 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 3, "source": 3, "target": 2}, {"capacity": 3, "source": 3, "target": 6... | {"states": [58362, 58364], "expectation_value": -25.13850532386221, "params": [[0.09530000000000001, -0.0035, -0.016, -0.0082], [-0.1246, -0.1296, -0.1207, -0.131]], "bitstrings": ["0001110000000101", "0001110000000011"], "total_optimization_steps": 20, "probabilities": [0.0008963332569932765, 0.0009420261755022045], "... | 0.875 * (Z(0) @ Z(1)) + 0.875 * (Z(2) @ Z(1)) + 0.4375 * (Z(2) @ Z(0)) + 2.0 * (Z(6) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 2.0 * (Z(9) @ Z(7)) + 1.0 * (Z(9) @ Z(6)) + 1.0 * (Z(9) @ Z(8)) + 1.0 * (Z(10) @ Z(11)) + 3.0 * (Z(12) @ Z(11)) + 1.5 * (Z(12) @ Z(10)) + -0.5 * (Z(3) @ Z(13)) + 1.0 * (Z(14) @ Z(13... | 1 | 16 | 4 | {"smallest_eigenvalues": [-37.62499999999959], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -36.74999999999983, "smallest_bitstrings": ["0001110000000011"], "largest_eigenvalue": 84.37500000000014} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(2.33246591973068) q[0];
rz(-1.4797298029163883) q[0];
rx(3.034262380501139) q[1];
rz(-1.3671634194239497) q[1];
rx(2.844954897000549) q[2];
rz(-0.1507424939227966) q[2];
rx(0.09303229139166129) q[3];
rz(-0.1919721744733692) q[3];
rx(0.09303229139166129) q[4];
rz(0.4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIZZIIIIII",
"IIIIIIIZZIIIIIII",
"IIIIIIIZIZIIIIII",
"IIIIIIZIZIIIIIII",
"IIIIIIZIIZIIIIII",
"IIIIIIZZIIIIIIII",
"IIIIZZIIIIIIIIII",
"IIIZZIIIIIIIIIII",
"IIIZIZIIIIIIIIII",
"IIZIIIIIIIIIZIII",
"IZZIIIIIIIIIIIII",
"IZIIIII... | [
0.875,
0.875,
0.4375,
2,
1,
0.5,
2,
1,
1,
1,
3,
1.5,
-0.5,
1,
-1,
1,
-1,
2,
-1,
0.875,
-2,
-2,
-0.5,
0.4375,
-1,
-1,
0.875,
3.5,
1.75,
1.75,
9,
4.5,
3,
6,
6,
3,
9,
0.5,
-0.75,
1,
1,
-1.5,
-0.75
] | 0.975514 | [
2.33246591973068,
-0.9324153315878805,
3.034262380501139,
-1.3671634194239497,
2.844954897000549,
-0.1507424939227966,
0.09303229139166129,
-0.1919721744733692,
0.48148107538044876,
0.2220551215114627,
1.071389716391299,
2.8122451934812642,
-0.11827595875594393,
2.998101331925135,
-1.094... | {
"n_parameters": 40,
"n_qubits": 16,
"optimal_eigenvalue": -37.624999999999694,
"target_ratio": 0.97,
"target_value": -36.496249999999705
} | 33 |
1c92797ebdc5766ffafd498d21cf8a8a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": ... | {"states": [34, 12], "expectation_value": -0.15319477226797512, "params": [[0.0655], [-0.0545]], "bitstrings": ["011101", "110011"], "total_optimization_steps": 10, "probabilities": [0.016761455795906495, 0.01698701389829558], "optimization_time": 1.8528707027435303} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + -0.5 * Z(1) + -1.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["111100", "001111", "101011", "110011", "101110", "011101"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3263252853866216) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.3263252853866216) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.3263252853866216) q[1];
cx q[1], q[0];
rz(-0.2868445573421025) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
h... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[2], q[5];
rz(x0) q[5]... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"ZIIZII",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"IZIZII",
"IZZIII",
"IZIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1,
-0.5,
-1
] | 0.67707 | [
0.3263252853866216,
-0.2868445573421025,
0.8549473281324195,
0.15280073471375832,
-0.09601834521733131,
0.07301194046511382,
-0.5945200247002729,
0.6127883089730268,
-0.7279343502043079,
1.0826034920116065,
0.3316483973775847,
-0.3459484728746911,
-0.416855612655761
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 280 |
919ebe96150ea33963e1b88a334f3105 | 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": 7}, {"capacity": 5, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 6, "source": 3, ... | {"states": [254, 127], "expectation_value": -2.9822813683126146, "params": [[-0.050800000000000005, -0.038200000000000005, -0.0446, -0.0222], [0.061700000000000005, 0.0443, 0.058300000000000005, 0.0492]], "bitstrings": ["00000001", "10000000"], "total_optimization_steps": 10, "probabilities": [0.011216871649198983, 0.0... | 0.25 * (Z(0) @ Z(7)) + -1.25 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(6)) + -0.75 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -0.25 * Z(7) + -0.25 * Z(0) + -2.5 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 15.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.47997180051034355) q[0];
h q[1];
ry(0.7419521490927121) q[1];
h q[2];
ry(0.7805616775622914) q[2];
h q[3];
ry(1.6653574126053823) q[3];
h q[4];
ry(0.8326787063026911) q[4];
h q[5];
ry(0.8326787063026911) q[5];
cx q[3], q[5];
ry(-0.8326787063026911) q[5];
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": 7} | {"circuits": [], "gradients": []} | [
"ZIIIIIIZ",
"IZIIIIZI",
"IIIIIZZI",
"IZIIZIII",
"IZIZIIII",
"IIIZIZII",
"IIIZZIII",
"ZIZIIIII",
"IZZIIIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII"
] | [
0.25,
-1.25,
-1,
-0.75,
-0.75,
-0.75,
-1.5,
-0.5,
-0.25,
-1.75,
-0.25,
-1.25,
-0.25,
-0.25,
-2.5,
-1.5,
0.25,
2.5,
-0.25,
2
] | 0.982925 | [
1.6653574126053823,
1.561123355124583,
1.4839042981854242,
1.4663457416610364,
-0.9599436010206871,
1.605096316058872,
-0.46828747053853337,
0.1743353193150963,
0.01566324934925098,
-0.12821055154197955,
0.5585485193403721,
0.1633788020804623,
-0.4348264220333006,
-0.22682935549148475,
0... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -10.75,
"target_ratio": 0.97,
"target_value": -10.4275
} | 5 |
953796ca4b6137c6c134989cdf6bb9e5 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 6, "source": 2, ... | {"states": [0, 1], "expectation_value": -11.606247297006938, "params": [-0.0013000000000000002, 0.2509, 0.005, 0.2788, 0.0019, 0.30360000000000004, 0.0022, 0.3129, -0.0011, 0.1371, 0.0044, 0.311, 0.0012000000000000001, 0.223, 0.4022, 0.0028, -0.006, 0.25570000000000004, -0.0005, 0.30510000000000004, 0.0044, 0.289000000... | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + -1.0 * (Z(1) @ Z(2)) + -2.0 * (Z(4) @ Z(6)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(2)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * Z(3) + -0.25 * Z(0) + -1.0 * Z(6) + 2.5 * Z(2) + -1.0 * Z... | 4 | 8 | 4 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.3483451487171722) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(-0.02778833924913412) q[2];
cx q[3], q[2];
cx q[2], q[1];
rz(-0.3483451487171722) q[1];
cx q[2], q[1];
rz(-0.34834514871717204) q[1];
rx(-1.5496356521799646) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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",
"IZIIIIIZ",
"IIIIZZII",
"IIIIIZZI",
"IZIZIIII",
"IIIZIZII",
"IIZIZIII",
"IZZIIIII",
"IIZIIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-1,
-0.75,
-1.5,
-1,
-2,
-1.5,
-1,
-0.75,
-0.75,
2,
-0.75,
-0.5,
-0.25,
-1,
2.5,
-1,
-0.5,
-0.5,
1.25
] | 0.972046 | [
-0.3483451487171722,
-0.01952397966811929,
-0.02778833924913412,
-0.320011031661691,
0.18500737395646455,
-0.557023597019871,
-0.5413866637494237,
-0.9068040738231341,
0.708134931363403,
-1.5496356521799646,
-0.5760853995779249,
-0.12218594570022752,
-0.22892143467827025,
-0.61961605786585... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 121 |
15981867526b451292338ffade4ee93e | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 4}, {"weight": 1, "... | {"states": [661, 2709], "expectation_value": -0.2275625540848031, "params": [0.48610000000000003, 0.4818, 0.3267, 0.3201, 0.4943, 0.48960000000000004, 0.29550000000000004, 0.2926, 0.4928, 0.4933, 0.2919, 0.2938, 0.2929, 0.2924, 0.49620000000000003, 0.4877, 0.30160000000000003, 0.2928, 0.4939, 0.49050000000000005, 0.319... | 0.25 * (Z(0) @ Z(1)) + -0.0012755102040816328 * (Z(2) @ Z(0)) + -0.0012755102040816328 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.001020408163265306 * (Z(4) @ Z(0)) + -0.001020408163265306 * (Z(4) @ Z(2)) + -0.001020408163265306 * (Z(5) @ Z(1)) + -0.001020408163265306 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0005102... | 13 | 12 | 2 | {"smallest_eigenvalues": [-1.5221938775510204, -1.5221938775510204], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5104591836734698, "smallest_bitstrings": ["010101101010", "101010010101"], "largest_eigenvalue": 1.5104591836734693} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.0615767063417223) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.0615767063417223) q[2];
cx q[1], q[2];
h q[3];
cx q[0], q[3];
rz(1.0615767063417223) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(1.0615767063417223) q[2];
cx q[3], q[2];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.0012755102040816328,
-0.0012755102040816328,
0.25,
-0.001020408163265306,
-0.001020408163265306,
-0.001020408163265306,
-0.001020408163265306,
0.25,
0.000510204081632653,
0.000510204081632653,
0.0007653061224489796,
0.000510204081632653,
0.000510204081632653,
0.00076530612244897... | 0.725469 | [
1.0615767063417223,
-0.31295547132631285,
-0.01907240403825381,
-2.5548485838209922,
-0.5424104057174817,
-0.020414202526432848,
0.19890450634838813,
1.7267918799232351
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 234 |
03ff3a7533d396b93efc645d4aae3cbe | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 2}, {"weight": 15, "source": 0, "target": 5}, {"weight": 20, "source": 0, "ta... | {"states": [245, 244], "expectation_value": -31.34868730123897, "params": null, "bitstrings": ["100001010", "100001011"], "total_optimization_steps": 100, "probabilities": [0.039722945789679026, 0.10131011762480907], "optimization_time": 211.81718516349792} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 20.0 * Z(1) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 160.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-2.10304971759109) q[0];
rz(-pi) q[0];
ry(-0.24410310415688244) q[1];
rz(-pi) q[1];
h q[2];
ry(8.240891103426156) q[2];
cx q[2], q[1];
ry(22.223176400538815) q[1];
cx q[2], q[1];
ry(-13.10126796190722) q[1];
ry(12.694351918652945) q[2];
rz(-pi) q[3];
ry(-2.5393297900... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-3.4097) 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] = ... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IIIZIIIZI",
"IIIZIIZII",
"IIZIIIIZI",
"IIZZIIIII",
"IZIIIZIII",
"IZIIZIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
20,
14,
19,
16.5,
5.5,
5.5,
14,
2,
0.5
] | 0.979637 | [
-4.236258050817545,
8.240891103426156,
-44.44635280107763,
10.92177445155632,
23.78718800876833,
29.079093892187462,
-26.20253592381444,
25.38870383730589,
-6.828198545345845,
0.9101744701734394,
0.6023915406110187,
0.10875931289913231,
0.8269743797419378,
-0.03591519098931931,
0.0849196... | {
"n_parameters": 81,
"n_qubits": 9,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 128 |
723b73fdc30b23dba77c4958fef78f24 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [86, 22], "expectation_value": -3.2732637862643785, "params": [[[0.34490000000000004, -0.1895], [-0.006, 0.41140000000000004], [0.7044, 0.0034000000000000002], [0.0002, 0.5027], [0.6701, -0.0014], [0.5622, 0.0165], [-0.0001, 0.4742]], [[0.34790000000000004, -0.1894], [-0.0002, 0.5201], [0.6962, 0.00340000000... | 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(5)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(2) @ Z(3)) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.75, "smallest_bitstrings": ["1101001", "0101101", "0101011"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.3213284069120986) q[0];
h q[1];
ry(1.561227557979563) q[1];
ry(-0.5996924930716909) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.3213284069120986) q[3];
h q[4];
cx q[4], q[0];
ry(0.3213284069120986) q[0];
cx q[4], q[0];
ry(-0.6920859783029909) q[0];
ry(0.858866298320... | OPENQASM 3.0;
include "stdgates.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",
"IZIIIIZ",
"IIZIIIZ",
"IZZIIII",
"IZZIIIZ",
"ZIZIIII",
"IIIZZII",
"IZIIZII",
"IZIZIII",
"IZIZZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0,
-0.75,
0,
-0.75,
0,
-0.25,
-1
] | 0.976117 | [
-1.5228681084041154,
-1.391331881335179,
1.561227557979563,
-0.6426568138241971,
0.4893931357312403,
-0.39231862825062086,
0.7389463251778208,
-0.5995347001047401,
0.3967606414427418,
0.38756318595233574,
-0.14652558977380725,
-0.24590209038459773,
0.14523805156870565,
0.8404560952239467,
... | {
"n_parameters": 29,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 10 |
7d8c120b950f82240c2b01ae7c753ace | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 5, "s... | {"states": [438, 247], "expectation_value": -8.83676530958731, "params": null, "bitstrings": ["001001001", "100001000"], "total_optimization_steps": 82, "probabilities": [0.1203732110844705, 0.5562330147115188], "optimization_time": 150.69926714897156} | -0.25 * (Z(0) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.75 * (Z(4) @ Z(1)) + -1.25 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + -1.75 * (Z(7) @ Z(4)) + -0.25 * (Z(7) @ Z(5)) + -1.25 * (Z(2) @ Z(8)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(3)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.5, "smallest_bitstrings": ["100000000", "100001000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(-0.0006716325042154664) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(-0.0006716325042154664) q[1];
cx q[6], q[1];
cx q[1], q[4];
rz(-1.3581049552887894) q[4];
cx q[1], q[4];
cx q[6], q[5];
rz(-1.2020433... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5709) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIZIIIIZI",
"IIIIZIIZI",
"IIZZIIIII",
"IIIZIIIZI",
"IIIZZIIII",
"IZZIIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZIZIIIII",
"ZIIIIIZII",
"IZIIIZIII",
"IIIIIZZII",
"IIZIIIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"... | [
-0.25,
0.5,
-0.25,
-0.75,
-1.25,
-1.25,
-0.25,
-0.5,
-0.25,
-1.75,
-0.25,
-1.25,
-0.5,
-0.5,
1.25,
-0.25,
-0.75,
2.5,
0.25,
-3,
-0.75,
0.75,
0
] | 0.801205 | [
-0.0006716325042154664,
0.000010565424425903949,
-1.3581049552887894,
-0.000001202043307248502,
-0.0000013554866091444424,
-0.000005342637836494328,
-1.5707962505940247,
-1.5707533605711173,
-1.570555464609826,
-1.570796263828308,
-1.5707964040538356,
-1.5707962652461258,
-1.5707621300938583... | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 308 |
4341137272835092067 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 5], [0, 2], [0, 1], [1, 3], [3, 4]]} | {"states": [26, 37], "expectation_value": -0.030869608920251798, "params": [[-0.049600000000000005], [0.0629]], "bitstrings": ["100101", "011010"], "total_optimization_steps": 10, "probabilities": [0.016606470597249793, 0.016606470597249793], "optimization_time": 0.405031681060791} | 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["011010", "100101"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(-0.8666760902324881) q[2];
cx q[5], q[2];
cx q[2], q[0];
rz(-0.8666760902324881) q[0];
cx q[2], q[0];
cx q[0], q[1];
rz(-0.8666760902324881) q[1];
cx q[0], q[1];
rz(-7.24922513128945e-08) q[0];
rx(0.78539... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[1], q[3];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"ZIIZII",
"IIIZIZ",
"IIIIZZ",
"IIZIZI",
"IZZIII",
"ZIIIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.547163 | [
-0.8666760902324881,
-7.24922510221663e-8,
0.7853981688097785
] | {
"n_parameters": 3,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 86 |
1879665784928598144 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 7], [1, 2], [2, 3, 4, 5, 8], [0, 2, 5, 6, 7, 8], [0, 1, 3, 4, 5, 6, 8], [0, 4, 6, 7, 8], [1, 7]]} | {"states": [444, 429], "expectation_value": -0.5159744099077497, "params": [[-0.26330000000000003], [0.2718]], "bitstrings": ["001000011", "001010010"], "total_optimization_steps": 30, "probabilities": [0.004210045904996577, 0.004234396669996745], "optimization_time": 2.0815980434417725} | 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(1) @ Z(7)) + 0.023809523809523808 * (Z(1) @ Z(3)) + 0.03333333333333333 * (Z(2) @ Z(7)) + 0.05 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.05 * (Z(4) @ Z(7)) + 0.07380952380952381 * (Z(4) @ Z(3)) + 0.023809523809523808 * (Z(4) @ Z(1)) + 0.05 * (Z(4) @ Z(2)) + 0.03333333333333333 * (Z(5) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.2428571428571424], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.2095238095238097, "smallest_bitstrings": ["001010010"], "largest_eigenvalue": 5.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[3];
rz(-0.9315337723865298) q[3];
cx q[7], q[3];
cx q[7], q[1];
rz(-0.9315337723865298) q[1];
cx q[7], q[1];
cx q[3], q[1];
rz(0.15728984565556242) q[1];
cx q[3], q[1];
cx q[7], q[2];
rz(0.201604... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IZIIIZIII",
"IZIIIIIZI",
"IIIIIZIZI",
"IZIIIIZII",
"IIIIIZZII",
"IIIIIIZZI",
"IZIIZIIII",
"IIIIZZIII",
"IIIIZIIZI",
"IIIIZIZII",
"IZIZIIIII",
"IIIZIZIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZZIIII",
"ZZIIIIIII",
"ZIIIIZIII",
"ZIIIIIIZI",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIIZIIIII",
"... | [
0.5,
0.5,
0.023809523809523808,
0.03333333333333333,
0.05,
0.5,
0.05,
0.07380952380952381,
0.023809523809523808,
0.05,
0.03333333333333333,
0.07380952380952381,
0.023809523809523808,
0.08333333333333334,
0.07380952380952381,
0.08333333333333334,
0.07380952380952381,
0.0238095238095... | 0.680026 | [
-0.9315337723865298,
0.15728984565556242,
0.20160469928429797,
-0.09678862805967997,
-0.06039700754212708,
-0.14909033620959555,
-0.23735862374556907,
-0.274058117144525,
-0.06406147442399955,
-0.013270706510279997,
-0.02815739308468754,
0.008322592091085265,
-1.379548990787888,
-1.1099844... | {
"n_parameters": 16,
"n_qubits": 9,
"optimal_eigenvalue": -2.2428571428571424,
"target_ratio": 0.97,
"target_value": -2.1755714285714283
} | 353 |
3357885450978157732 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 3, 6], [8, 2, 7], [2, 4], [8, 4], [5, 6]]} | {"states": [101, 357], "expectation_value": -1.867186594515311, "params": null, "bitstrings": ["110011010", "010011010"], "total_optimization_steps": 69, "probabilities": [0.2093179693008699, 0.2693616938018606], "optimization_time": 97.42390322685242} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.16666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.083333333333333, -2.083333333333333, -2.083333333333333, -2.083333333333333], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.9999999999999998, "smallest_bitstrings": ["100011010", "010011010", "000111010", "000010110"], "largest_eigenvalue": 3.4999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
ry(-0.22064946854006415) q[1];
cx q[0], q[1];
ry(0.22064946854006415) q[1];
cx q[0], q[1];
ry(-0.2143559312053847) q[0];
cx q[1], q[0];
ry(0.2143559312053847) q[0];
cx q[1], q[0];
ry(0.2171326582135362) q[1];
ry(-0.4960166563564379) q[0];
h q[2];
ry(-2.0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[8], 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... | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIIIZII",
"IZIIIIZII",
"ZZIIIIIII",
"IIIIZIZII",
"ZIIIZIIII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIZIIIIII",
"IIIIIIZII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIZIIII",
"IIIZIIIII"
] | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.16666666666666663,
0.16666666666666663,
0.1666... | 0.977479 | [
-0.3266172406081422,
1.0762281632739537,
-0.31854769428339047,
1.2722766979717939,
-0.4191090596849203,
1.1894406467086271,
-0.5968943770241179,
0.3881005000508788,
0.7274984544195892,
0.35803740109276555,
-0.5747587754699373,
-0.4823039973496881,
-1.0060983270672128,
-0.4661369651569659,
... | {
"n_parameters": 58,
"n_qubits": 9,
"optimal_eigenvalue": -2.083333333333333,
"target_ratio": 0.97,
"target_value": -2.020833333333333
} | 29 |
ea6f28b1d52734982303edc3e4a649bb | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 13, "source": 1, "target": 6}, {"weight": 11, "source": 1, "target": 5}, {"weight": 8, "source": 2, "target": 3}, {"... | {"states": [206, 110], "expectation_value": -3.9173542655541875, "params": [[-0.0324], [0.0261]], "bitstrings": ["00110001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.004817619681219605, 0.004909935864924286], "optimization_time": 2.1179449558258057} | 4.0 * (Z(0) @ Z(2)) + 4.0 * (Z(1) @ Z(2)) + 4.0 * (Z(1) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 6.5 * Z(2) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-62.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -56.5, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 148.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.010579390403300512) q[0];
rz(0.5032633397346796) q[0];
ry(-0.16775742047494524) q[1];
rz(0.4239821625260418) q[1];
cx q[1], q[0];
ry(0.08641991018112673) q[0];
rz(0.8114268101915858) q[0];
ry(0.11118927672779633) q[1];
rz(-0.5652374082435947) q[1];
ry(0.30165731961... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
r... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIZIIZI",
"IIIZZIII",
"IIZIZIII",
"IZIIIIZI",
"IZIZIIII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6.5,
3.5,
17.5,
13.5,
8,
11.5,
20.5,
11.5
] | 0.970089 | [
0.010579390403300512,
0.5032633397346796,
-0.16775742047494524,
0.4239821625260418,
0.30165731961222375,
-0.16334054591635155,
-0.08287043178903097,
-0.6586726372166358,
0.30175015715223785,
0.9393288219767209,
0.1699036987785315,
-0.04037235258249219,
-0.14445755865650717,
0.4806517596819... | {
"n_parameters": 55,
"n_qubits": 8,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 29 |
6040130108543517169 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[1, 3, 4, 5, 6, 7, 9, 10], [11, 1, 3, 6], [0, 1, 3, 8, 10], [0, 9, 10, 7], [1, 2, 3, 8, 10], [4, 5, 6, 7, 10, 12], [1, 2, 6, 7, 8, 9, 10], [0, 1, 4, 5, 11, 12], [1, 6, 9, 10, 12], [0, 1, 2, 9, 10, 11, 12], [1, 2, 4, 6, 8, 10], [1, 2, 5, 9, 11], [2, 3,... | {"states": [6013, 6011], "expectation_value": -4.4053410314001615, "params": [1.1383, 1.5659, 1.6665, 1.5817, 1.5948, 1.5494, 1.5473000000000001, 1.6099, 1.2546000000000002, 1.3496000000000001, 0.43860000000000005, 0.4586, 1.5838, 1.5818, 1.5162, 1.6291, 1.4380000000000002, 1.6108, 1.4458, 1.6255000000000002, 1.6761000... | 0.26785714285714285 * (Z(1) @ Z(3)) + 0.10833333333333334 * (Z(4) @ Z(3)) + 0.24999999999999997 * (Z(4) @ Z(1)) + 0.13452380952380952 * (Z(5) @ Z(3)) + 0.175 * (Z(5) @ Z(1)) + 0.1261904761904762 * (Z(5) @ Z(4)) + 0.15833333333333333 * (Z(6) @ Z(3)) + 0.36666666666666664 * (Z(6) @ Z(1)) + 0.2107142857142857 * (Z(6) @ Z(... | 14 | 13 | 1 | {"smallest_eigenvalues": [-5.436904761904761], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.382142857142855, "smallest_bitstrings": ["0100010000100"], "largest_eigenvalue": 28.999999999999993} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.668859438253588) q[0];
rz(pi/2) q[0];
ry(2.269312148088734) q[1];
ry(1.4006921414711162) q[2];
ry(1.3057396955753662) q[3];
ry(1.641493916503376) q[4];
ry(-0.2749053895148705) q[5];
ry(0.9680185837056697) q[6];
ry(1.8915126103837612) q[7];
ry(1.8996764246808138) 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": []} | [
"IIIIIIIIIZIZI",
"IIIIIIIIZZIII",
"IIIIIIIIZIIZI",
"IIIIIIIZIZIII",
"IIIIIIIZIIIZI",
"IIIIIIIZZIIII",
"IIIIIIZIIZIII",
"IIIIIIZIIIIZI",
"IIIIIIZIZIIII",
"IIIIIIZZIIIII",
"IIIIIZIIIZIII",
"IIIIIZIIIIIZI",
"IIIIIZIIZIIII",
"IIIIIZIZIIIII",
"IIIIIZZIIIIII",
"IIIZIIIIIZIII",
"IIIZIIIIIII... | [
0.26785714285714285,
0.10833333333333334,
0.24999999999999997,
0.13452380952380952,
0.175,
0.1261904761904762,
0.15833333333333333,
0.36666666666666664,
0.2107142857142857,
0.2369047619047619,
0.13452380952380952,
0.16666666666666666,
0.14404761904761904,
0.22023809523809523,
0.235714285... | 0.970136 | [
1.668859438253588,
2.269312148088734,
1.4006921414711162,
1.3057396955753662,
1.641493916503376,
-0.2749053895148705,
0.9680185837056697,
1.8915126103837612,
1.8996764246808138,
0.9230247004536283,
1.5118597537909262,
1.5091314452762759,
1.0833842243528722,
1.278804238868067,
1.375954094... | {
"n_parameters": 52,
"n_qubits": 13,
"optimal_eigenvalue": -5.436904761904761,
"target_ratio": 0.97,
"target_value": -5.273797619047618
} | 37 |
222da723e9a46931eb34c7c524cc180a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 7}, {"capac... | {"states": [1, 129], "expectation_value": -8.385625197758161, "params": [-0.015700000000000002, 0.0429, -0.013900000000000001, 0.054400000000000004, -0.013000000000000001, 0.17700000000000002, -0.004, 0.2104, -0.27540000000000003, -0.0038, -0.2697, -0.0027, -0.0007, 0.23900000000000002, -0.00030000000000000003, 0.23720... | -0.25 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.5 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(4)) + -0.75 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(1)) + 1.25 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(1)) + -0.25 * (Z(9) @ Z(8)) + -0.25 * (Z(... | 6 | 10 | 3 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -8.0, "smallest_bitstrings": ["1111111110", "1101111110", "1001111110"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.05022342547586546) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.08339430074625241) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(-0.05022342547586546) q[1];
cx q[3], q[1];
rz(-0.05022342547586546) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIZIIIIIIZ",
"IIIIIIZIZI",
"IZIIIIZIII",
"IZIIIZIIII",
"IZZIIIIIII",
"IZIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"ZIIIIIIIZI",
"ZZIIIIIIII",
"IIIIIIIZZI",
"IIIZIIZIII",
"IIIZIZIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"IZIIZIIIII",
"IIIZZIIIII"... | [
-0.25,
-0.75,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.75,
-0.75,
1.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.5,
-1,
-0.25,
0,
-0.25,
-0.75,
-1,
0.5,
0,
0.5,
0.25,
0.5,
0.25
] | 0.7072 | [
-0.05022342547586546,
0.08339430074625241,
0.001791086638290006,
-0.019628576339343166,
0.19616926085014433,
1.5705924336658776,
1.5708745075896196,
1.5658972216805378,
-1.5766364054168958
] | {
"n_parameters": 9,
"n_qubits": 10,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 212 |
ef1b258390ebdcaf766a21bfe0acae0d | 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": [645, 1669], "expectation_value": -94.84629249141909, "params": [[0.22130000000000002, 0.7982, -0.0212, 0.6722, -0.1301, 0.006200000000000001, 0.0063, -0.0027, 0.7514000000000001, -0.0608, 0.798], [0.07200000000000001, 0.5985, -0.020900000000000002, 0.6607000000000001, -0.0472, 0.0024000000000000002, 0.00030... | 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(7) @ Z(0)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(9) @ Z(1)) + 7.0 * (Z(9) @ Z(3)) + 7.0 * (Z(10) @ Z(2)) + 7.0 * (Z(10) @ Z(8)) + 17.5 * Z(2) + 22.0 * Z(1) + 15.0 * Z(0) + 15.0 * Z(3) ... | 10 | 11 | 4 | {"smallest_eigenvalues": [-114.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -110.5, "smallest_bitstrings": ["00101111010"], "largest_eigenvalue": 199.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.012338726610556655) q[0];
rz(-0.37170012589606205) q[0];
ry(0.0476872494679831) q[1];
rz(-0.5053137796204226) q[1];
cx q[1], q[0];
ry(0.006635406687059288) q[0];
rz(-1.1633612743989978) q[0];
ry(1.0071800459754114) q[1];
rz(0.025252965295420045) q[1];
ry(1.5765213... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIZZIII",
"IIIZIIIIIIZ",
"IIZIIIIIZII",
"IIZZIIIIIII",
"IZIIIIIIIZI",
"IZIIIIIZIII",
"ZIIIIIIIZII",
"ZIZIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIZIIIIIII",
"IIZIIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
17.5,
22,
15,
15,
-3,
3,
14.5,
4,
5.5,
-10.5,
-11.5
] | 0.97313 | [
0.012338726610556655,
-0.37170012589606205,
0.0476872494679831,
-0.5053137796204226,
1.5765213721303417,
0.030769370762536982,
0.328659839796632,
0.31633809500665044,
0.5356017159864881,
-0.3852611641978907,
0.9669691743505578,
-0.5558288129003872,
0.5508957254489596,
0.08688187538745129,
... | {
"n_parameters": 79,
"n_qubits": 11,
"optimal_eigenvalue": -114.5,
"target_ratio": 0.97,
"target_value": -111.065
} | 30 |
fc2a0aab6aa71710f421b73642e2514f | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [222, 399], "expectation_value": -0.21066667617003498, "params": [[0.0659, 0.049300000000000004, 0.0678], [-0.0648, -0.0414, -0.0514]], "bitstrings": ["100100001", "001110000"], "total_optimization_steps": 10, "probabilities": [0.003074028735019396, 0.003074028735019401], "optimization_time": 12.922960519790... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(0) @ Z(5) @ Z(4)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(3) @ Z(7)) + ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["001110000", "100100001"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.11242251953068062) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.11242251953068062) q[3];
cx q[0], q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.11242251953068062) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[4];
rz(0.1124225... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIZZIIIZ",
"IIIIIZIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZIIZIII",
"IZIIIZIII",
"IZZIIIIII",
"IIZIIZIZI",
"IZIIIZIZI",
"IZZIIIIZI",
"IZZIIZIII",
"IZZIIZIZI",
"IIZIZIIII",
"ZIIIZIIII",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0,
0.125,... | 0.886139 | [
0.11242251953068062,
0.7188618997790892,
-1.218608868119396,
0.06219707367807151,
-1.3014966604495342,
0.814754047515083,
-0.7136669890576299,
0.4534445368680647,
-0.6952065532198899,
0.5275019770757594,
0.01888035805324072,
-1.6254864120474146,
-0.7479707343602362,
0.5318744980053659,
0... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 500 |
f717ef50c8ad9f11eca4d69731f66874 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 7}, {"weight": 17, "source": 0, "target": 3}, {"weight": 11, "sourc... | {"states": [345, 241], "expectation_value": -10.005451075485485, "params": [[0.0463], [-0.0716]], "bitstrings": ["010100110", "100001110"], "total_optimization_steps": 10, "probabilities": [0.004276365888026753, 0.004680600680763392], "optimization_time": 1.8952209949493408} | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(8) @ Z(7)) + 14.0 * Z(2) + 14.5 * Z(0) + 18.5 * Z(1) + 10.5 * Z(3) + ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-76.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["100001110"], "largest_eigenvalue": 157.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.051872774690227476) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.051872774690227476) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.051872774690227476) q[1];
cx q[0], q[1];
h q[3];
cx q[0], q[3];
rz(-0.051872774690227476) 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] 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];... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IZIIIIZII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIZIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
14,
14.5,
18.5,
10.5,
17,
7,
4,
3.5,
-8.5
] | 0.974867 | [
-0.051872774690227476,
1.6137679284512751,
-1.0863723170218886,
1.5353638327056522,
1.6317463934205265,
1.5118771420233499,
-1.3922933956854844,
-1.8531640480684937,
1.6656791362873635,
-1.602942566163788,
-1.6716638116579652
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -76.5,
"target_ratio": 0.97,
"target_value": -74.205
} | 54 |
-2252149188418540827 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 3, 4, 6], [1, 4], [0, 3, 7], [9, 3, 1, 7], [3, 4, 5, 6, 9], [0, 1, 5, 6, 8], [0, 9, 8], [3, 4, 5, 7], [0, 2, 4, 5, 9], [0, 5, 7], [8, 2, 7], [0, 9, 7], [9, 1, 6, 7], [8, 2, 4, 5], [9, 5, 1, 6], [0, 9, 5, 1], [1, 3, 6, 8, 9], [4, 6, 7, 8, 9]]} | {"states": [986, 471], "expectation_value": -2.2837894823359832, "params": [[0.2748], [-0.2826]], "bitstrings": ["0000100101", "1000101000"], "total_optimization_steps": 30, "probabilities": [0.003706382840479831, 0.0037119478623870005], "optimization_time": 6.17711067199707} | 0.08333333333333333 * (Z(2) @ Z(3)) + 0.21666666666666667 * (Z(4) @ Z(3)) + 0.21666666666666667 * (Z(4) @ Z(2)) + 0.18333333333333335 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.18333333333333335 * (Z(6) @ Z(4)) + 0.13333333333333333 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.26666666666666666 * (Z(1) @ Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-4.249999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.183333333333334, "smallest_bitstrings": ["1000101000"], "largest_eigenvalue": 17.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.10337396883396416) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(-0.041494078939326884) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.041494078939326884) q[4];
cx q[2], q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(-0.01663500... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIZIIZIII",
"IIIZIIIZII",
"IIIZIZIIII",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIIZIIIIZI",
"IIIIIIZIIZ",
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIIZIIIIIZ",
"IIIIIIIIZZ",
"IIZIIIZIII",
"IIZIIIIZII",
"IIZIIZIIII",
"IIZZIIIIII",
"IIZIIIIIZI",
"IIZIIIIIIZ"... | [
0.08333333333333333,
0.21666666666666667,
0.21666666666666667,
0.18333333333333335,
0.08333333333333333,
0.18333333333333335,
0.13333333333333333,
0.5,
0.26666666666666666,
0.16666666666666666,
0.05,
0.05,
0.05,
0.13333333333333333,
0.3333333333333333,
0.16666666666666666,
0.13333333... | 0.972586 | [
0.10337396883396416,
-0.041494078939326884,
-0.016635008266535994,
-0.050268510291463675,
3.2890259009940306,
-0.00657801909055826,
0.010730957001675354,
-0.035090432262514036,
0.03702967561250474,
-0.07346829880983768,
0.044920451398058656,
0.01544506924298436,
0.032418684853300225,
0.009... | {
"n_parameters": 27,
"n_qubits": 10,
"optimal_eigenvalue": -4.249999999999998,
"target_ratio": 0.97,
"target_value": -4.122499999999998
} | 171 |
eb9f82d0aaa03fdb655e5d6e72b145a4 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "... | {"states": [0, 4095], "expectation_value": -13.351339550565609, "params": [[[0.0024000000000000002, 1.6102], [0.003, 0.0023], [0.0034000000000000002, -0.0031000000000000003], [0.0027, 0.0023], [0.002, 0.8026000000000001], [0.0011, 0.0028], [0.0024000000000000002, 0.11720000000000001], [0.002, 0.0017000000000000001], [0... | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + -2.0 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(8)) + 0.5 * (Z(11) @ Z(10))... | 15 | 12 | 1 | {"smallest_eigenvalues": [-18.5, -18.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["000000000000", "000000110000"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(0.5301722356918784) q[0];
h q[1];
ry(0.5748119771964393) q[1];
h q[2];
ry(1.1499114714993717) q[2];
h q[3];
cx q[3], q[0];
ry(-0.5301722356918784) q[0];
cx q[3], q[0];
cx q[0], q[1];
ry(-0.5748119771964393) q[1];
cx q[0], q[1];
ry(0.9449741928033618) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIZZIIII",
"IIIIZZIIIIII",
"IIZZIIIIIIII",
"IZZIIIIIIIII",
"IZIZIIIIIIII",
"ZIZIIIIIIIII",
"ZIIZIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIIZ... | [
-2,
0.5,
-2,
-1.5,
-2,
0.5,
-1,
-1.5,
-2,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5
] | 0.89238 | [
1.0603444713837569,
0.16918204378627502,
1.1496239543928786,
0.7032905662349646,
1.8899483856067236,
0.7745385637699488,
2.2998229429987433,
1.5839209315650926,
1.2261711812779916,
-1.0765374946053805,
1.373405715426794,
0.029184257633368564,
0.0018154042909311694,
0.31326701541446766,
1... | {
"n_parameters": 70,
"n_qubits": 12,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 500 |
a580e4976632c242f00336b6365a3eca | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [469, 213], "expectation_value": -65.89409033462354, "params": [1.4816, 0.001, 2.9943, 0.0059, 2.995, 0.0049, 0.3674, 0.005200000000000001, 3.0, 0.0085, 0.0021000000000000003, 0.0083, 2.9986, 0.0009000000000000001, 0.5906, 0.0021000000000000003, 3.0029000000000003, 0.0068000000000000005, 0.001800000000000000... | 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(7) @ Z(8)) + 5.5 * (Z(6) @ Z(0)) + 5.5 * (Z(6) @ Z(8)) + 5.5 * (Z(6) @ Z(7)) + 10.0 * Z(0) + 9.0 * Z(2) + 12.5 * Z(1) + 1.0 * Z(3) + 6.0 * Z(4) + -3.0 * Z(5) + 9.5 * Z(8) + 2.5 * ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["100101010"], "largest_eigenvalue": 117.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.11927030382811893) q[0];
rz(-0.49192032151968057) q[0];
rx(1.5231187007395433) q[1];
rz(-0.08698827342443408) q[1];
rx(1.406501403160323) q[2];
rz(0.4204667134183042) q[2];
rx(0.1277339898994278) q[3];
rz(0.7589869024659347) q[3];
rx(1.6856019618989482) 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], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZZIIII",
"ZZIIIIIII",
"IIZIIIIIZ",
"ZIZIIIIII",
"IZZIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIZIIIIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
10,
9,
12.5,
1,
6,
-3,
9.5,
2.5,
15
] | 0.976737 | [
0.11927030382811893,
-0.4079121626688213,
1.5231187007395433,
-0.08698827342443408,
1.406501403160323,
0.4204667134183042,
0.1277339898994278,
0.7589869024659347,
1.6856019618989482,
0.19622297216768408,
-0.05968451874922962,
0.7384540191141611,
1.5682850329615992,
0.3337167600943739,
0.... | {
"n_parameters": 50,
"n_qubits": 9,
"optimal_eigenvalue": -74.5,
"target_ratio": 0.97,
"target_value": -72.265
} | 10 |
561e25a031eb9a8799f924eeb4c8438f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [37, 100], "expectation_value": -3.996515438228178, "params": null, "bitstrings": ["1011010", "0011011"], "total_optimization_steps": 26, "probabilities": [0.06700899265493479, 0.9297459340173706], "optimization_time": 16.924930810928345} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(6) + -0.5 * Z(1) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 7 | 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": ["1001110", "0110011", "0011011", "1101100", "1011010"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(1.4021174659852118) q[1];
rz(-pi) q[2];
ry(-0.05187240237903478) q[2];
ry(-0.07058011845761827) q[3];
rz(-pi) q[3];
h q[4];
ry(1.4846124925952116) q[4];
rz(-pi) q[5];
ry(-0.05187240237903478) q[5];
h q[6];
ry(-0.4716510695149191) q[6];
cx q[0], q[6];
... | 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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IIIZZII",
"ZIIZIII",
"IIIZIZI",
"IIZIZII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-0.5,
-0.5,
-1,
-0.5
] | 0.990962 | [
-1.6875007142906264,
-1.4416901727671574,
1.4846124925952116,
1.4021174659852118,
-0.9433021390298382,
0.7581365704687499,
-0.593651186284916,
0.6493530428447576,
-0.19400333399622846,
0.3412050415156962,
-0.20224701167873668,
-0.11705207114024198,
-0.03824210496297538,
-0.0627189403217154... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
6363109502043437547 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 3, 5, 6, 7], [0, 4, 5], [2, 4, 5, 7, 9], [0, 1, 2, 4, 8], [1, 2, 3, 4, 5, 8, 9], [0, 1, 2, 3, 7, 8], [2, 4, 5, 6, 8], [1, 5, 6, 7, 9], [9, 4, 6], [8, 0, 3, 6]]} | {"states": [921, 985], "expectation_value": -2.1637940802058844, "params": [3.1437, 0.0, 3.1385, 0.0021000000000000003, 3.1435, 0.0036000000000000003, 1.6259000000000001, 0.0074, 0.3599, 0.0032, 3.1394, 0.0046, 3.1436, 0.007, 0.3738, 0.006900000000000001, 0.3786, 0.0063, 3.1385, 0.0028, 0.0055000000000000005, 0.0001, 0... | 0.10714285714285715 * (Z(2) @ Z(3)) + 0.07380952380952381 * (Z(5) @ Z(3)) + 0.1738095238095238 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(6) @ Z(3)) + 0.1 * (Z(6) @ Z(2)) + 0.15000000000000002 * (Z(6) @ Z(5)) + 0.08333333333333334 * (Z(7) @ Z(3)) + 0.13333333333333333 * (Z(7) @ Z(2)) + 0.15000000000000002 * (Z(7) @ Z(5... | 16 | 10 | 1 | {"smallest_eigenvalues": [-2.3071428571428574, -2.3071428571428574], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.307142857142857, "smallest_bitstrings": ["0000100110", "1010000001"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-3.1218360995748906) q[0];
rz(0.18662174752213634) q[0];
rx(3.308749995569042) q[1];
rz(0.17618462283227354) q[1];
cx q[1], q[0];
rz(-0.029697768739215633) q[0];
cx q[1], q[0];
rz(-0.004848258522459034) q[1];
rx(-3.0841994017309924) q[2];
rz(0.11821363155565212) 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": []} | [
"IIIIIIZZII",
"IIIIZIZIII",
"IIIIZIIZII",
"IIIZIIZIII",
"IIIZIIIZII",
"IIIZZIIIII",
"IIZIIIZIII",
"IIZIIIIZII",
"IIZIZIIIII",
"IIZZIIIIII",
"IIIIIIZIIZ",
"IIIIIIIZIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIIZZIIII",
"IIIZIZIIII",
"IIZIIZIIII"... | [
0.10714285714285715,
0.07380952380952381,
0.1738095238095238,
0.13333333333333333,
0.1,
0.15000000000000002,
0.08333333333333334,
0.13333333333333333,
0.15000000000000002,
0.1,
0.11666666666666667,
0.08333333333333334,
0.16666666666666666,
0.08333333333333333,
0.03333333333333333,
0.02... | 0.971778 | [
3.161349207604696,
0.15692397878292114,
3.308749995569042,
0.17618462283227354,
3.1989859054485943,
0.05801016826653141,
2.31278941153223,
0.06278448998831178,
0.0580927709243603,
0.09899258492753367,
2.9895289902136395,
-0.0457860466162487,
3.083286685456984,
0.013619729708175626,
0.282... | {
"n_parameters": 27,
"n_qubits": 10,
"optimal_eigenvalue": -2.3071428571428574,
"target_ratio": 0.97,
"target_value": -2.2379285714285717
} | 5 |
d649df7ae1b816002ad94faf1848d20e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 5}, {"source": 1, "target": 7}, {"source": 1, "target": 8}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"sour... | {"states": [416, 432], "expectation_value": -3.311051273018221, "params": [0.39880000000000004, 0.402, 0.399, 0.39830000000000004, 0.17370000000000002, 0.1802, 0.3426, 0.3522, 0.3158, 0.3105, -0.006500000000000001, -0.0041, 0.19260000000000002, 0.1865, 0.135, 0.1429, 0.0041, 0.006200000000000001, 0.39890000000000003, 0... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(5) + 0.0 * Z(0) + -1.0 * Z(7) + -0.5 * Z(1) + -1.5 * Z(8) + -0.5 * Z(2) + 0.0 * Z(3) + -0.5... | 13 | 9 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -3.5, "smallest_bitstrings": ["101000111", "001011011", "010101101", "011011001", "000101111", "010111001", "011001110", "011001101", "000111011", "001001111",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.44731440550298607) q[0];
rz(0.002888389346964809) q[0];
ry(0.6607706992132673) q[1];
ry(-0.032012569116598125) q[2];
ry(0.5014366618159248) q[3];
ry(0.3408388244170962) q[4];
ry(-0.0207454662414353) q[5];
ry(0.09017843301816869) q[6];
ry(-0.10286892112911913) q[7];... | 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": []} | [
"IIIZIIIIZ",
"IZIZIIIII",
"IZIIIIIZI",
"ZIIZIIIII",
"ZZIIIIIII",
"ZIIIIIIZI",
"IIIZIIZII",
"IIIIIZZII",
"ZIZIIIIII",
"IIZIZIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIIIZI",
"ZIIIIIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIZIIIIII",
"IIIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-0.5,
-1.5,
-0.5,
0,
-0.5,
0
] | 0.970393 | [
0.44731440550298607,
0.6607706992132673,
-0.032012569116598125,
0.5014366618159248,
0.3408388244170962,
-0.0207454662414353,
0.09017843301816869,
-0.10286892112911913,
-0.07677423603946548,
0.005776778693929618,
-0.7690728038935974,
-0.12540253499230447,
0.20415738261206162,
-0.24650105861... | {
"n_parameters": 106,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 11 |
9537b03a0720fea9486a83164aae2375 | 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": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 4, "source": 1, "target": 4}, {"capaci... | {"states": [62, 1], "expectation_value": -1.3976261955377742, "params": [[-0.069], [0.0734]], "bitstrings": ["000001", "111110"], "total_optimization_steps": 10, "probabilities": [0.022528344475713287, 0.024592778374972084], "optimization_time": 1.5353665351867676} | -1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -1.75 * (Z(2) @ Z(3)) + -3.5 * (Z(2) @ Z(4)) + 3.25 * (Z(5) @ Z(0)) + -1.75 * (Z(5) @ Z(4)) + 0.0 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.75 * Z(4) + -1.25 * Z(2) + 1.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-15.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.25, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.04459291637044844) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.13836609871095987) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.04459291637044844) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.13836609871095987) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IIIZZI",
"IIZZII",
"IZIZII",
"ZIIIIZ",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
-1.5,
-1,
-1.5,
-1,
-0.5,
-1.75,
-3.5,
3.25,
-1.75,
0,
-0.25,
-0.75,
0.75,
-1.25,
1.5
] | 0.971099 | [
-0.04459291637044844,
-0.13836609871095987,
-0.0035492850593641656,
-0.050246306238886776,
-0.3040872882365267,
0.09375049462482174,
-1.3952808476570036,
-0.935560578412678,
-0.6808490296717252,
-0.8285443807602375,
-0.9401926242259768,
0.8324490365775066,
-1.6550995825587071,
-0.140733839... | {
"n_parameters": 37,
"n_qubits": 6,
"optimal_eigenvalue": -15.25,
"target_ratio": 0.97,
"target_value": -14.7925
} | 85 |
2c6eb766ab3528fa7b498e04b0afce9c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [0, 14], "expectation_value": -5.518037794303323, "params": [0.2238, -0.1481, 0.09860000000000001, 0.18960000000000002, 0.0898, 0.2116, 0.0417, -0.2185, 0.4887, -0.0028, 0.504, -0.0036000000000000003, 0.4882, 0.0011, 0.0425, 0.251, 0.22440000000000002, -0.14880000000000002, 0.09280000000000001, 0.19690000000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) ... | 4 | 8 | 3 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["00011111", "11110001"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.6793179022441156) q[0];
rz(1.8380294488421605) q[0];
rx(1.5085738080389355) q[1];
rz(1.766260066961613) q[1];
rx(1.9171795802234828) q[2];
rz(1.6978823486870223) q[2];
rx(0.2173833451285105) q[3];
rz(1.4099701569664642) q[3];
rx(0.1845511291003335) q[4];
rz(1.79154... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIZIIZ",
"IIZIZIII",
"IIZIIIIZ",
"IZIIZIII",
"IZIIIIIZ",
"IIIIZIZI",
"IZIIIIZI",
"IIIZZIII",
"IIIZIIZI",
"ZIIIZIII",
"ZZIIIIII",
"ZIIIIIZI",
"ZIIZIIII",
"IIZIIZII",
"IIIZIZII",
"ZIIIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"IIIIIIZI",
"IIIZIIII",
"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,
0.5,
0.5,
0.5,
-2.5,
-1,
-1,
-1.5,
-1.5,
-1.5,
-2,
-1
] | 0.970323 | [
1.6793179022441154,
0.26723312204726385,
1.5085738080389353,
0.19546374016671658,
1.9171795802234826,
0.12708602189212537,
0.21738334512851054,
-0.1608261698284328,
0.18455112910033347,
0.22074390083081447,
-0.11969720956573368,
0.1205245123293751,
0.11140611929164794,
0.037057902315456435... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 30 |
b4844a241e7c75ea7eb690acd3c4c004 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [1, 2], "expectation_value": -0.8831399904840991, "params": null, "bitstrings": ["110", "101"], "total_optimization_steps": 8, "probabilities": [0.12891599074045149, 0.7538151034229991], "optimization_time": 1.9667487144470215} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) | 1 | 3 | 4 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "101", "011"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) q[0];
| null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[0];\ncry(-1.0398... | [
"IZZ",
"ZZI",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5
] | 0.999879 | [
-0.13358933430461783,
0.05925579854844312,
0.1941292476304146,
-0.0004540644499549003,
-0.07413458086647713,
0.10747849798655963
] | {
"n_parameters": 6,
"n_qubits": 1,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 1 |
11576eab70c2ec583415b5e8bd58f9e2 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": ... | {"states": [21, 28], "expectation_value": -3.499901759135221, "params": null, "bitstrings": ["101010", "100011"], "total_optimization_steps": 26, "probabilities": [1.6353512195995074e-05, 0.9999508518713515], "optimization_time": 18.954601764678955} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3716796306065885) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.3716796306065885) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.3716796306065885) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.3716796306065885) q[4];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"IZZIII",
"ZIIIZI",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1,
-0.5,
0
] | 0.698312 | [
-0.3716796306065885,
0.8727381071204077,
0.7179543098390148,
-0.19857375753212136,
0.8889599314407369,
-1.5807265779890087,
2.4860629174438844,
1.2068334987105587,
0.4724410059780224
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 259 |
b7602418da2fb1da8d0e3bf56e052253 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, ... | {"states": [80, 39], "expectation_value": -0.19790406176650413, "params": [[-0.0286, -0.0497], [0.0043, 0.0516]], "bitstrings": ["0101111", "1011000"], "total_optimization_steps": 10, "probabilities": [0.008677962461063764, 0.009059041614787305], "optimization_time": 3.1100270748138428} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(3) + -0.5 * Z(4) + -1.0 * Z(5) + -1.5 * Z(2) + -0.5 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1011000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.19413541781266302) q[0];
rz(0.4737143075248884) q[0];
rx(1.3481450265531563) q[1];
rz(0.7101312274980032) q[1];
rx(0.08114689032242231) q[2];
rz(0.39298482269195745) q[2];
rx(0.05382342065610063) q[3];
rz(-0.4688239600116697) q[3];
rx(1.4947674538218447) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIIZ",
"IIZIIIZ",
"IZIIIIZ",
"IZIZIII",
"IIIIZZI",
"IIZIZII",
"IZIIZII",
"ZIIZIII",
"ZIIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1,
-0.5,
-1,
-1.5,
-0.5
] | 0.970244 | [
-0.19413541781266297,
0.4032852255685598,
1.3481450265531563,
0.35847725960509413,
0.08114689032242232,
0.23884228912775574,
0.05382342065610062,
-0.3631398892310509,
1.4947674538218447,
0.14683342555344495,
1.7859017636948948,
0.04798825882582202,
1.7853225188419513,
0.28173152310392174,
... | {
"n_parameters": 38,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 21 |
746f1e81413b4bda09e25f752f01507b | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"sour... | {"states": [27, 155], "expectation_value": -6.055473395334483, "params": [-0.0015, 0.0024000000000000002, 1.6016000000000001, 0.002, 0.0045000000000000005, 0.0067, 0.0046, 0.009600000000000001, 1.6017000000000001, 0.0076, 1.6129, 0.0056, 0.3498, 0.006, 1.6067, 0.0056, 1.6064, 0.004, 0.007, 0.0009000000000000001, 0.0017... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["101100100"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.049209164698572665) q[0];
rz(0.4355998280494138) q[0];
rx(2.9016011392059253) q[1];
rz(0.22845557740962263) q[1];
rx(-0.2840945909539958) q[2];
rz(0.030784693979001077) q[2];
rx(-0.00642535763449602) q[3];
rz(0.2756346645115446) q[3];
rx(-3.0816147347703597) 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": []} | [
"IIIIIIIZZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIZIIII",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIZIII",
"ZIIIIZIII",
"IIIIZIZII",
"IIIZIIZII",
"IIZIIIZII",
"ZIIIIIZII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2.5,
-1.5,
-1,
-1.5,
0,
-1,
-1.5,
-1.5
] | 0.974512 | [
-0.04920916469857267,
0.3115379777074151,
2.9016011392059253,
0.2445929125390317,
-0.2840945909539958,
0.05033341685716669,
-0.006425357634496021,
0.26670778024464104,
3.201570572409227,
0.8784649592226113,
3.037258753075295,
0.4956475925185369,
0.18224934582487826,
-0.07945423852799754,
... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 19 |
0baf743d2b6cfc8b6e600b5313918496 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 3}, {"capaci... | {"states": [1, 15], "expectation_value": -6.001757164868416, "params": [-0.0027, 0.0048000000000000004, -0.0022, 0.3917, 0.0601, -0.004200000000000001, 0.0863, 0.0033, 0.8005, 2.7405, 3.1386000000000003, 0.0051, 0.0019, -0.002, 3.0048000000000004, 2.9979, -0.8277], "bitstrings": ["111110", "110000"], "total_optimizatio... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 4 | 6 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["110000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(7.90274469494533e-08) q[0];
ry(-0.7853982620761846) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2293320178321785) q[2];
h q[3];
ry(0.7853981303022892) q[3];
h q[4];
cx q[4], q[3];
ry(-0.7853981303022892) q[3];
cx q[4], q[3];
ry(0.6154797374613742) q[4];
cx q[3], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIIZ",
"IIIZZI",
"IZZIII",
"IIZZII",
"ZIIIIZ",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-0.5,
-0.5,
-0.5,
-1.25,
-1.25,
1.25,
-0.75,
-1,
-0.25,
0,
0.25,
0.5,
0.5
] | 0.961538 | [
1.580548938989066e-7,
1.5707962936941358,
-1.5707964113743622,
1.5707962606045784,
1.2309594749227484,
2.458664035664357,
-6.36184063154341e-8,
-0.7758827152746062,
0.6829287142011918,
-0.7949136334328287,
-0.6410930540584571,
-0.852030693606311,
0.6410931018832451,
0.5966596957061975,
0... | {
"n_parameters": 19,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 341 |
6468206389165533645 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 7], [1, 2], [3, 6], [6, 7], [0, 6], [2, 7], [8, 3], [2, 5], [0, 8], [0, 1], [1, 5], [1, 3], [1, 6], [3, 4]]} | {"states": [213, 298], "expectation_value": -0.0002809602479129699, "params": [[0.0036000000000000003], [-0.0028]], "bitstrings": ["100101010", "011010101"], "total_optimization_steps": 10, "probabilities": [0.001953752225669208, 0.001953752225669208], "optimization_time": 0.7143075466156006} | 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.0 * Z(7) +... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -3.0, "smallest_bitstrings": ["100101010", "010010011", "101100000", "101101100", "011010101", "010011111", "101100100", "101101000", "010011011", "010010111"], "largest_e... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(1.5286232872448693) q[0];
h q[1];
ry(-0.18019002648350768) q[1];
h q[2];
ry(0.6989935795973983) q[2];
h q[3];
h q[4];
ry(-0.6776270044648435) q[4];
h q[5];
ry(-0.04673095194185577) q[5];
h q[6];
cx q[6], q[1];
ry(0.18019002648350768) q[1];
cx q[6], q[1];
ry(-... | 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[3];
rz(x0) q[3];
cx q[7], q[3];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[7], q[2];
rz(x0) q[2];
cx q[7], q[2];... | null | {"circuits": [], "gradients": []} | [
"IZIIIZIII",
"IIIIIZIZI",
"IZIIIIZII",
"IIIIIIZZI",
"IZZIIIIII",
"IIZIIZIII",
"IIZIIIIZI",
"IIIIIIIZZ",
"IIZIIIIIZ",
"ZIIIIZIII",
"ZIIIIIIIZ",
"IIIZIIIZI",
"IIIZIIZII",
"IIIIZZIII",
"IZIIIIIII",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIZIIIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.978197 | [
-0.36038005296701536,
1.2948267081310734,
1.3979871591947965,
-1.0841804825440995,
-0.989919973237202,
1.4149974895902604,
-1.355254008929687,
1.5286232872448693,
-0.08400499105757817,
0.12823933043378644,
-0.13644353565099435,
0.02057741093738566,
-0.17379335501444726,
0.06246795245906619... | {
"n_parameters": 48,
"n_qubits": 9,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 18 |
117d5eadcb002c843d1e10097e462227 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [23, 15], "expectation_value": -3.9991448582839038, "params": null, "bitstrings": ["101000", "110000"], "total_optimization_steps": 28, "probabilities": [0.06552908063149088, 0.933866261433082], "optimization_time": 23.909090757369995} | 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(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110000", "101000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(1.4479777882315188) q[0];
rz(-0.0410635451729493) q[0];
rx(1.6707270756630017) q[1];
rz(-0.5025707057789535) q[1];
rx(0.12191439196254802) q[2];
rz(-0.10535812139801859) q[2];
rx(-0.17080179574029059) q[3];
rz(0.36643007906481095) q[3];
rx(0.12191439196254804) q[4];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIIZ",
"ZIIIIZ",
"IZIIIZ",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2,
-0.5,
0,
0,
0
] | 0.975636 | [
1.447977788231519,
-0.13929152858914753,
1.670727075663002,
0.12191439196254804,
0.2784167354321591,
-0.1708017957402906,
0.6155213340906953,
0.34082768408182945,
0.07876221148488821,
-0.5482503076417033,
0.39134103961369215,
-0.49818251005176784,
-0.7675497136603552,
-0.7265583543796119,
... | {
"n_parameters": 27,
"n_qubits": 6,
"optimal_eigenvalue": -3.0625,
"target_ratio": 0.97,
"target_value": -2.970625
} | 11 |
-8700814918655973787 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 4, 7], [0, 1], [5, 6], [2, 4, 5], [1, 4, 7], [0, 6], [0, 8, 3], [2, 6], [1, 5, 7], [1, 2], [8, 3, 5], [3, 7], [8, 2, 7], [2, 3, 5], [0, 2, 5], [0, 2, 7], [8, 6, 7], [8, 1, 6]]} | {"states": [271, 331], "expectation_value": -5.026093737106386, "params": null, "bitstrings": ["011110000", "010110100"], "total_optimization_steps": 54, "probabilities": [0.06688662140639577, 0.8504238665299132], "optimization_time": 92.54676246643066} | 0.3333333333333333 * (Z(2) @ Z(4)) + 0.3333333333333333 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(5) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.333333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.999999999999999, "smallest_bitstrings": ["010110100"], "largest_eigenvalue": 14.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(0.13000567800474552) q[2];
cx q[4], q[2];
h q[5];
h q[6];
h q[7];
cx q[4], q[7];
rz(0.13000567800474552) q[7];
cx q[4], q[7];
cx q[2], q[7];
cx q[4], q[1];
rz(-0.06421079911289128) q[1];
cx q[4], q[1];
cx q[4], q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[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] = m... | [
"IIIIZIZII",
"IZIIZIIII",
"IZIIIIZII",
"IIIIIIZIZ",
"IZIIIIIIZ",
"IIIIZIIZI",
"IIIIIIZZI",
"IZIIIIIZI",
"IIIIIIIZZ",
"IIIZZIIII",
"IIIZIIZII",
"IZIZIIIII",
"IIIZIIIIZ",
"IIIZIIIZI",
"IIZIIIZII",
"IZZIIIIII",
"IIZIIIIIZ",
"IIZIIIIZI",
"IIZZIIIII",
"ZIIIIIZII",
"ZZIIIIIII",
"... | [
0.3333333333333333,
0.3333333333333333,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.... | 0.457967 | [
0.13000567800474552,
0.5555677386318415,
-0.06421079911289128,
0.15730741495463335,
1.347999447618234,
-0.81840940124306
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -5.333333333333332,
"target_ratio": 0.97,
"target_value": -5.173333333333332
} | 180 |
-1380098830073423629 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3], [0, 1], [0, 4], [0, 2], [0, 5], [5, 6]]} | {"states": [54, 73], "expectation_value": -0.031728856752950285, "params": [[0.057300000000000004], [-0.0465]], "bitstrings": ["1001001", "0110110"], "total_optimization_steps": 10, "probabilities": [0.008315655007491728, 0.008315655007491728], "optimization_time": 1.4520454406738281} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["0110110", "1001001"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.07261351412815469) q[0];
h q[1];
h q[2];
ry(0.5595921112437373) q[2];
h q[3];
ry(-0.07261351412815469) q[3];
cx q[1], q[3];
ry(0.07261351412815469) q[3];
cx q[1], q[3];
ry(1.6788470627639054) q[1];
ry(-1.320179001707631) q[3];
h q[4];
h q[5];
cx q[5], q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[0], q[2];
... | null | {"circuits": [], "gradients": []} | [
"IIIZIZI",
"IIIIIZZ",
"IIZIIIZ",
"IIIIZIZ",
"IZIIIIZ",
"ZZIIIII",
"IIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.971407 | [
-0.14522702825630937,
1.5090435620518985,
-1.3298066063508556,
-0.30596893309681295,
1.569939749316795,
-1.5909694076706433,
1.4248150725451498,
-0.5633134034074004,
1.1191842224874746,
0.33960700142401345,
0.2759301229166524,
0.01925520928644981,
0.3492290225745296,
-0.9971739494491859,
... | {
"n_parameters": 38,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 23 |
cb02c01f35b3eb9d4161bd850dfaa72c | 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": 2}, {"weight": 1, "source": 0, "target": 6}, {"weight": 1, "source": 1, "target... | {"states": [22186, 43349], "expectation_value": -0.0248718633083011, "params": [[0.0792], [-0.0799]], "bitstrings": ["1010100101010101", "0101011010101010"], "total_optimization_steps": 10, "probabilities": [1.686200569778594e-05, 1.686200569778594e-05], "optimization_time": 12.986719369888306} | 0.25 * (Z(0) @ Z(1)) + -0.0008749999999999999 * (Z(2) @ Z(0)) + -0.0008749999999999999 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0008749999999999999 * (Z(4) @ Z(0)) + -0.0010000000000000002 * (Z(4) @ Z(2)) + -0.0008749999999999999 * (Z(5) @ Z(1)) + -0.0010000000000000002 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.0212499999999447], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.021249999999888, "smallest_bitstrings": ["0101011010101010"], "largest_eigenvalue": 2.0134999999999237} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(0.7667126344586774) q[0];
rz(0.17282485373528772) q[0];
ry(0.31680410096930056) q[1];
ry(0.2551596013674417) q[2];
ry(-0.014659159376781954) q[3];
ry(0.7629214538836765) q[4];
ry(0.6645854478406821) q[5];
ry(-0.13916019141086652) q[6];
ry(0.5384647908744213) q[7];
r... | 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[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... | {"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,
-0.0008749999999999999,
-0.0008749999999999999,
0.25,
-0.0008749999999999999,
-0.0010000000000000002,
-0.0008749999999999999,
-0.0010000000000000002,
0.25,
0.0001875,
0.00012500000000000003,
0.00012500000000000003,
0.0001875,
0.00012500000000000003,
0.00012500000000000003,
0.25,
... | 0.976683 | [
0.7667126344586774,
0.31680410096930056,
0.2551596013674417,
-0.014659159376781954,
0.7629214538836765,
0.6645854478406821,
-0.13916019141086652,
0.5384647908744213,
0.01597727264517554,
0.48640685772701175,
-0.17182108252361358,
0.10503909069854954,
0.17599807231459802,
-0.126727055493575... | {
"n_parameters": 243,
"n_qubits": 16,
"optimal_eigenvalue": -2.0212499999999305,
"target_ratio": 0.97,
"target_value": -1.9606124999999326
} | 21 |
9c58c5b77a3170e613a26f379fffeef6 | 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": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [166, 110], "expectation_value": -0.22140731691897575, "params": [[-0.059500000000000004, -0.042, -0.054400000000000004], [0.0738, 0.0604, 0.0591]], "bitstrings": ["01011001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.005432646250273934, 0.006079406206522776], "optimization_time": 7.84... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(0) @ Z(5)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-3.375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.375, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.30035957140227065) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.30035957140227065) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.30035957140227065) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.30035957140227065) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIZZIIII",
"IIZZIIIZ",
"IIIIZIZI",
"IIIZIIZI",
"IZIIIIZI",
"IIIZZIII",
"IZIIZIII",
"IZIZIIII",
"IIIZZIZI",
"IZIIZIZI",
"IZIZIIZI",
"IZIZZIII",
"IZIZZIZI",
"IIZIIZII",
"ZIIIIZII",
"ZIZIIIII",
"ZIZIIZI... | [
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,
0.5,
0,
0.125,
0,
-0.625,
0.125,
0,
-0.125,
-0.25
] | 0.970623 | [
-0.30035957140227065,
1.1368758079646883,
-1.8923990284899774,
1.0436850348571591,
1.415620980349364,
-0.5091827167950427,
1.4790986719477293,
0.8820371628830349,
0.46473221419256594,
-0.15090594742638722,
0.055618018346008394,
0.32882508347878925,
-0.3312498441524585,
-0.09748772199396417... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 54 |
959f05abd479552f0696314b40ef5b74 | 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": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 7}, {"sour... | {"states": [28, 156], "expectation_value": -5.53327440977892, "params": [-0.0046, -0.004, 0.30260000000000004, 0.30670000000000003, -0.007200000000000001, -0.0067, 0.2381, 0.2194, 0.2992, 0.2985, 0.3054, 0.3048, 0.30710000000000004, 0.3083, 0.006900000000000001, 0.0035, 0.0064, -0.0005, -0.0074, -0.0123, 0.308200000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) ... | 14 | 9 | 3 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["101100011", "101001011"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.1399930437220717) q[0];
ry(0.8650653071780711) q[1];
ry(0.11594929294305405) q[2];
ry(-0.9464422858265304) q[3];
ry(2.0702723379125203) q[4];
ry(-0.16296677980062418) q[5];
ry(1.2829689321342719) q[6];
ry(0.1160124189159371) q[7];
ry(0.3488615456301369) q[8];
cz 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": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IIIIIZZII",
"IIZIIIZII",
"ZIIIIIZII",
"IZIIIIZII",
"ZIIIZIIII",
"IIIIZIZII",
"IIIZIZIII",
"IZIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1.5,
-1,
-1.5,
-1.5,
-2,
-0.5,
-0.5
] | 0.973457 | [
0.1399930437220717,
0.8650653071780711,
0.11594929294305405,
-0.9464422858265304,
2.0702723379125203,
-0.16296677980062418,
1.2829689321342719,
0.1160124189159371,
0.3488615456301369,
-0.1331460367169849,
1.0897615518882326,
-0.021206464264756142,
1.1001419369683731,
0.8715329643254098,
... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 26 |
d641b238a610d42d2a4d2049e26c4a8c | 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": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 1, ... | {"states": [113, 97], "expectation_value": -10.35316923629764, "params": null, "bitstrings": ["10001110", "10011110"], "total_optimization_steps": 55, "probabilities": [0.3431873609156808, 0.4603072463763573], "optimization_time": 69.10015678405762} | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -2.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(6)) + -1.25 * (Z(7) @ Z(1)) + 2.5 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @... | 1 | 8 | 2 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["10011110"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7946463062368568) q[0];
h q[1];
h q[2];
ry(0.6186852872545041) q[2];
cx q[1], q[2];
ry(-0.6186852872545041) q[2];
cx q[1], q[2];
ry(1.5435180341782773) q[1];
ry(0.18224120531489832) q[2];
ry(-0.17608387131973435) q[3];
rz(-pi) q[3];
cx q[1], q[3];
ry(0.247... | 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(-0.7408) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IIIIIZZI",
"IZIIIZII",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIIZZIII",
"IZIIZIII",
"IIIIZZII",
"IIZIIIZI",
"IIZZIIII",
"IZZIIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIZII",
"ZIIIIIII",
"IIIIZIII",
"IIZIIIII"
] | [
-0.5,
-1.25,
-0.5,
-2.5,
-0.75,
-1.25,
2.5,
-1,
-1.25,
-1,
-0.25,
-0.75,
-0.75,
-1.25,
0.5,
-0.25,
0.5,
-0.75,
1.75,
1.25,
-4.5,
1.5
] | 0.970629 | [
-1.147417811859112,
1.2373705745090082,
1.5435180341782773,
-0.49458928723210044,
-1.5892926124737137,
-2.309415929446479,
0.36448241062979664,
-0.4538661237832402,
-0.06284718478532479,
0.1828448554015769,
-0.33230521476711383,
0.37352140419820384,
-0.07913749338643893,
0.3498126979268162... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 77 |
1cfe150f067bc5d84efb3a14c35d5953 | 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": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [129, 131], "expectation_value": -1.3246325671356487, "params": [0.308, 0.30670000000000003, 0.259, 0.2472, 0.2278, 0.2313, 0.0033, 0.0031000000000000003, 0.2242, 0.2237, 0.0057, 0.0007, 0.2868, 0.28450000000000003, 0.2908, 0.29810000000000003, 0.2979, 0.2958, 0.2273, 0.2232, 0.23520000000000002, 0.2371, 0.0... | 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... | 13 | 8 | 3 | {"smallest_eigenvalues": [-2.75, -2.75, -2.75, -2.75, -2.75, -2.75, -2.75, -2.75], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.75, "smallest_bitstrings": ["10110101", "10011110", "01010111", "01110101", "10111100", "01011110", "10010111", "01111100"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.13826017295172913) q[0];
rz(-0.9357269036619493) q[0];
ry(0.04215684877918534) q[1];
rz(-0.1353255249701445) q[1];
cx q[1], q[0];
ry(-0.03439712450884938) q[0];
rz(-0.6363187492457996) q[0];
ry(0.1689862600508784) q[1];
rz(-0.6348021631558537) q[1];
ry(-0.550889677... | OPENQASM 3.0;
include "stdgates.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",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIIIZZIZ",
"IIIZIZIZ",
"IIIZZIIZ",
"IIIZZZII",
"IIIZZZIZ",
"IZIIIZII",
"ZIIZIIII",
"IIZIIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IZZIIIZI",
"ZIZIIIZI",
"ZZIIIIZ... | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.625,
-0.125,
-0.625,
-0.125,
-0.125
] | 0.971753 | [
0.13826017295172913,
-0.9357269036619493,
0.04215684877918534,
-0.1353255249701445,
-0.5508896779328171,
-0.09575930716618468,
0.06536641243412493,
0.6878399290054228,
0.8234069596363793,
-0.24733554506976912,
0.010146938737048701,
-0.0538696609155741,
-0.10239473317448217,
0.0409837498823... | {
"n_parameters": 56,
"n_qubits": 8,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 50 |
6ca7d17fd5da99c16b5e08c2388f4219 | 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": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 2, "s... | {"states": [1, 255], "expectation_value": -0.32778255235865816, "params": [[-0.0511], [0.0659]], "bitstrings": ["111111110", "100000000"], "total_optimization_steps": 10, "probabilities": [0.002489063315876722, 0.0024896453244309894], "optimization_time": 7.018056392669678} | -0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(7) @ Z(5)) + -0.75 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-10.0, -10.0, -10.0, -10.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.0, "smallest_bitstrings": ["100000000", "111111110", "101000000", "101100000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.005199878430952781) q[0];
rz(0.49753994051744854) q[0];
rx(0.009444908772521665) q[1];
rz(0.056812599041951906) q[1];
rx(0.0102766991684648) q[2];
rz(-0.676310269412558) q[2];
rx(0.0016931880366726111) q[3];
rz(0.9424830252791354) q[3];
rx(0.0016931880366726115) 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[9] c;
qubit[9] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIZIIIIZ",
"IIIZIIZII",
"IIIIIIZZI",
"IIZZIIIII",
"IIZIIIZII",
"IIZIIIIZI",
"IIIIIZZII",
"IIIZZIIII",
"IIIIZIIZI",
"IZIZIIIII",
"IZIIIIIZI",
"IZZIIIIII",
"IZIIIZIII",
"IZIIZIIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIZIIIIII",
"... | [
-0.25,
-0.75,
-0.75,
-0.75,
-0.75,
-1,
-0.5,
-0.5,
-1,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
0.5,
-0.25,
-0.25,
-0.25,
-2.75,
0,
1.25,
0,
1,
0.75,
0.25
] | 0.970696 | [
-0.005199878430952782,
0.37496190897554177,
0.009444908772521663,
-0.23217063461303789,
0.0102766991684648,
-0.4946957216394926,
0.0016931880366726111,
0.7310045504369199,
-0.3930316605389239,
-0.05982864059873119,
0.5973458095286764,
-0.2609853964398807,
-0.022565700292863936,
0.740756047... | {
"n_parameters": 40,
"n_qubits": 9,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 6 |
587dcb6e41d84a9813084cbb00af17fd | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -25.912831671583497, "params": [-0.0015, 0.0054, 0.8993, 0.006500000000000001, 1.5033, -0.0005, 0.0025, 0.0086, -0.0027, 0.0001, -0.0027, 0.0029000000000000002, -0.0027, 0.004, -0.0026000000000000003, 0.0039000000000000003, -0.0027, 0.0036000000000000003, -0.0025, 0.0102, -0.00... | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(0)) + -1.0 * (Z(8) @ Z(0)) + -1.5 * (Z(10) @ Z(0)) + -1.25 * (Z(10) @ Z(6)) + -0.75 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @ Z(8)) + -1.5 * (Z(7) @ Z(10)) + -0.5 * (Z(1) @ Z(7)) + -2.25 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(8)) + -2.25 * (Z(9... | 4 | 11 | 1 | {"smallest_eigenvalues": [-31.25, -31.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -26.25, "smallest_bitstrings": ["11011111111", "10011111111"], "largest_eigenvalue": 26.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.033963696567778576) q[0];
rz(1.8991362269510468) q[0];
rx(-0.06952720293770134) q[1];
rz(1.714108277154489) q[1];
rx(0.4007960701601042) q[2];
rz(1.5575565716778357) q[2];
rx(-0.11535381310690081) q[3];
rz(1.6584042176704212) q[3];
rx(-0.029136233884420246) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIIZIIZIII",
"IIIIZIIIIIZ",
"IIZIIIIIIIZ",
"ZIIIIIIIIIZ",
"ZIIIZIIIIII",
"IIIZIIIZIII",
"IIIZZIIIIII",
"IIZZIIIIIII",
"ZIIZIIIIIII",
"IIIZIIIIIZI",
"IIIIIZIZIII",
"IIZIIZIIIII",
"IZIIIIIZIII",
"ZZIIIIIIIII",
"IZIZIIIIIII",
"IIZIIIZIIII",
"IIIZIIZIIII",
"IIIIIZZII... | [
-1,
-0.75,
-1.5,
-1,
-1.5,
-1.25,
-0.75,
-1,
-0.75,
-1.5,
-0.5,
-2.25,
-1.25,
-2.25,
-0.75,
-1,
-1.25,
-1.75,
-0.5,
-1.25,
5.25,
-1,
-0.25,
-1.5,
1.5,
-0.25,
1,
-4.25,
-1.75,
-0.25,
0.5,
0.5,
0.25,
0.25,
2.5
] | 0.971469 | [
-0.03396369656777858,
0.32833990015615117,
-0.06952720293770136,
0.1433119503595924,
0.40079607016010427,
-0.013239755117061228,
-0.11535381310690081,
0.08760789087552422,
-0.029136233884420243,
0.3159240876849281,
-0.07406018453779331,
0.25953761340670434,
0.17670405538946782,
0.164771778... | {
"n_parameters": 131,
"n_qubits": 11,
"optimal_eigenvalue": -31.25,
"target_ratio": 0.97,
"target_value": -30.3125
} | 14 |
85cb808fe07a0c64082590bbd70dee50 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [606, 602], "expectation_value": -115.43284848170562, "params": [0.0024000000000000002, 1.0404, 1.3931, -0.21430000000000002, 0.7582, -0.3093, 0.0023, 0.9690000000000001, 1.4062000000000001, -0.15030000000000002, 0.47050000000000003, -0.4101, 1.403, -0.0063, 1.3997000000000002, 0.1221, 0.7414000000000001, 0.... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(6) @ Z(1)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(7) @ Z(4)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(5) @ Z(7)) + 7.5 * (Z(8) @ Z(1)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(9) @ Z(1)) + 7.5 * (Z(9) @ Z(6)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10)... | 18 | 11 | 2 | {"smallest_eigenvalues": [-142.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -120.5, "smallest_bitstrings": ["10110100101"], "largest_eigenvalue": 255.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.002112967230733162) q[0];
rz(2.3788497753085256) q[0];
rx(1.124201593722317) q[1];
rz(1.348770255740991) q[1];
rx(0.1669617489416254) q[2];
rz(2.2310907173128207) q[2];
rx(0.20616846132066752) q[3];
rz(1.6214629104676153) q[3];
rx(1.3231600018646654) q[4];
rz(1.73... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIZIIIIZI",
"IIIZIIIIZII",
"IIIZIIZIIII",
"IIIZZIIIIII",
"IIIIZZIIIII",
"IIIZIZIIIII",
"IIZIIIIIIZI",
"IIZIZIIIIII",
"IZIIIIIIIZI",
"IZIIZIIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIZIIII",
"IIIIIIIZI... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
11.5,
22.5,
15,
-4,
31.5,
21,
4,
11,
22.5,
-3.5,
-11.5
] | 0.970004 | [
0.002112967230733162,
0.8080534485136291,
1.124201593722317,
-0.22202607105390496,
0.16696174894162538,
0.6602943905179243,
0.20616846132066752,
0.05066658367271942,
1.3231600018646654,
0.1627621831301221,
0.14984775067466843,
-0.10153447468302111,
1.0482412615660566,
-0.2371472302932519,
... | {
"n_parameters": 94,
"n_qubits": 11,
"optimal_eigenvalue": -142.5,
"target_ratio": 0.97,
"target_value": -138.225
} | 13 |
e1ee122704659894b3696f576081a2cf | 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": 20, "source": 0, "target": 2}, {"weight": 13, "source": 1, "target": 6}, {"weight": 7, "source": 2, "targ... | {"states": [222, 218], "expectation_value": -24.041800272697337, "params": [[0.018600000000000002, 0.0128, -0.0001], [-0.0522, -0.06720000000000001, -0.0675]], "bitstrings": ["100100001", "100100101"], "total_optimization_steps": 10, "probabilities": [0.006815266889299209, 0.009581147157929109], "optimization_time": 6.... | 4.5 * (Z(0) @ 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(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 14.5 * Z(1) + 3.0 * Z(0) + 11.0 * ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 147.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
rz(-pi) q[1];
ry(-1.518671701368228) q[1];
rz(-pi) q[2];
ry(-1.9184711946259563) q[2];
h q[3];
ry(-1.2690479153113619) q[3];
h q[4];
ry(-23.541155883975833) q[4];
ry(-2.629522226413252) q[5];
rz(-pi) q[5];
h q[6];
ry(-0.10390085226328306) q[6];
rz(-pi) 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[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IZIIIIZII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"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,
14.5,
3,
11,
8,
17,
13,
14.5,
-3,
11
] | 0.97302 | [
-23.541155883975833,
-22.201792305180028,
-10.44860589835898,
27.49141951167771,
-61.96137406619712,
3.080269444625393,
-25.864833907236953,
4.733351032142052,
-3.079267506251181,
-0.039701959139668175,
0.005758186826557363,
5.749940586601983,
-1.5587100755489378,
0.059962355157045386,
0... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -82.5,
"target_ratio": 0.97,
"target_value": -80.02499999999999
} | 94 |
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": 171.64807748794556} | 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 | 3 | {"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 |
c62ab19b34e8d40ed7516cccbe0df39c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 2, "ta... | {"states": [106, 98], "expectation_value": -4.37329562780697, "params": [1.4167, -0.0034000000000000002, 1.7100000000000002, -0.0013000000000000002, 1.7092, 0.0017000000000000001, 0.2454, -0.016900000000000002, 1.4829, -0.0002, 0.0017000000000000001, 0.1411, 1.7084000000000001, -0.0086, -0.0041, 0.0007, -1.4208, 1.4782... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 *... | 4 | 8 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.5, "smallest_bitstrings": ["11001101", "11100101", "10011101", "10110011", "10110101"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.9095071033000424) q[0];
rz(1.487494509980161) q[0];
rx(2.1597046984144614) q[1];
rz(1.6896710796283783) q[1];
rx(2.6772295487140627) q[2];
rz(1.7589975690131272) q[2];
rx(-0.26351939454081796) q[3];
rz(2.419694255022751) q[3];
rx(0.38698854620935447) q[4];
rz(1.221... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIZIII",
"IZIIIIIZ",
"IZZIIIII",
"IIZIIZII",
"IIIZIZII",
"ZIZIIIII",
"ZZIIIIII",
"ZIIIIZII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1,
-2,
-1,
-1,
-0.5,
-1.5
] | 0.971028 | [
0.9095071033000424,
-0.08330181681473527,
2.1597046984144614,
0.1188747528334817,
2.6772295487140627,
0.18820124221823076,
-0.26351939454081796,
0.8488979282278546,
0.3869885462093544,
-0.3491024398754187,
0.4055434272178823,
3.1491010309482554,
-0.03446606101418409,
0.10431759695984652,
... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 13 |
3774053569090606942 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4], [2, 5, 6], [0, 6, 7], [1, 2, 4, 6], [5, 6, 7], [0, 5], [2, 3]]} | {"states": [45, 109], "expectation_value": -0.6832575234389208, "params": [[0.27440000000000003], [-0.2591]], "bitstrings": ["11010010", "10010010"], "total_optimization_steps": 30, "probabilities": [0.00951562781575591, 0.00965890399428071], "optimization_time": 2.2191193103790283} | 0.5 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(2)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.416666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4166666666666665, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 5.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(1.0885437156649913) q[0];
cx q[4], q[0];
cx q[4], q[2];
rz(0.08770717109963394) q[2];
cx q[4], q[2];
h q[5];
cx q[0], q[5];
rz(1.0885437156649913) q[5];
cx q[0], q[5];
cx q[2], q[5];
rz(-0.0010476512812442695) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIIZ",
"IIZIIZII",
"IZIZIIII",
"IZIIIIIZ",
"IZIIIZII",
"IZZIIIII",
"ZIIIIIIZ",
"ZIZIIIII",
"ZZIIIIII",
"IIIZIIZI",
"IIIIIZZI",
"IZIIIIZI",
"IIIIZZII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIZII... | [
0.5,
0.08333333333333333,
0.5,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.25,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.1250000000000001,
0.166666666666... | 0.68533 | [
1.0885437156649913,
0.08770717109963394,
-0.0010476512812442695,
0.06664645805182355,
0.23450005346870662,
0.16798267054632549,
0.8842018717363048,
1.359361419243667,
-0.850437597922447,
-0.9217884326611813
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -2.416666666666667,
"target_ratio": 0.97,
"target_value": -2.3441666666666667
} | 257 |
cffa2817361ddb7e47597a8361b20c50 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 20, "source": 1, "target": 2}, {"weight": 20, "source": 1, "target": 8}, {"weight":... | {"states": [429, 428], "expectation_value": -103.54815746680387, "params": [0.0135, 0.16110000000000002, 0.007500000000000001, 0.1567, 0.3981, 0.0152, 0.39530000000000004, 0.0137, 0.3929, -0.0026000000000000003, 0.39330000000000004, -0.002, 0.0342, 0.1952, 0.0308, 0.19240000000000002, 0.38730000000000003, 0.0103, 0.387... | 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(7) @ Z(2)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(9) @ Z(4)) + 5.5 * (Z(9) @ Z(7)) + 26.5 * Z(2) ... | 7 | 10 | 4 | {"smallest_eigenvalues": [-112.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -99.0, "smallest_bitstrings": ["1001010011"], "largest_eigenvalue": 175.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.08635957470758457) q[0];
rz(0.24205674386272946) q[0];
rx(0.7113609802006915) q[1];
rz(-0.02430859063570867) q[1];
cx q[1], q[0];
rz(0.0887204311733559) q[0];
cx q[1], q[0];
rz(1.657157416036581) q[0];
ry(0.06751160857628376) q[0];
rz(-1.6617124121823643) 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... | {"matching": "maximum", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIZZIIIII",
"IIZIIIIZII",
"IIZIIZIIII",
"IIZIZIIIII",
"IZIZIIIIII",
"ZIIIIIIZII",
"ZIIIIZIIII",
"ZIZIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIZIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
26.5,
0.5,
15.5,
0.5,
21,
8.5,
3,
17,
-4.5,
10
] | 0.975015 | [
-0.08635957470758457,
0.3307771750360852,
0.7113609802006915,
-0.02430859063570867,
0.3573385773930294,
-0.04069725801552167,
-0.17204712106790856,
0.24932638897104947,
0.4740980824481353,
-0.1577470689634789,
-0.12176288839121682,
0.2837198409748788,
0.6335725923798154,
0.1880148515593414... | {
"n_parameters": 179,
"n_qubits": 10,
"optimal_eigenvalue": -112,
"target_ratio": 0.97,
"target_value": -108.64
} | 13 |
91fd701868951eab612ba86420778b2e | 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": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [14, 42], "expectation_value": -3.9963046828491047, "params": null, "bitstrings": ["110001", "010101"], "total_optimization_steps": 22, "probabilities": [0.06706466845670207, 0.9295035070622214], "optimization_time": 18.804497003555298} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["010101", "110100", "110001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.6046606131929824) q[0];
rz(-pi) q[0];
ry(-0.2754248126532229) q[1];
rz(-pi) q[1];
ry(-1.397078670391102) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.7131691907790075) q[3];
cx q[3], q[2];
ry(0.10320605458857647) q[2];
cx q[3], q[2];
ry(-0.09157489833333138) q[3];
ry(-0.4233... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"IZIIZI",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-1,
-1,
0,
0
] | 0.970876 | [
-0.7131691907790075,
-0.6029729944224574,
-0.9519977999790217,
-0.0705116018152183,
-0.6867474283253041,
-0.7263254383589139,
-0.20641210917715294,
-0.18314979666666276,
1.246074321202835,
-0.16302890953712407,
0.9836842123631419,
-0.8467113254691783,
-0.29282426768644043,
0.51295746069054... | {
"n_parameters": 35,
"n_qubits": 6,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 32 |
533fcd480a5175680493f52fe07173d6 | 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": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [1, 37], "expectation_value": -13.027211987471775, "params": [-0.0022, 0.75, -0.0023, 0.0053, -0.0024000000000000002, 1.8270000000000002, 0.0036000000000000003, 0.0043, -2.1351, -0.0037, 0.48750000000000004, 0.0073, -0.0028, 0.6838000000000001, -0.0028, 0.008, -0.0026000000000000003, 0.7385, -0.0028, 0.0014,... | -1.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(2)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7)... | 6 | 8 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["11011010"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.24633714219781486) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.21817790403825055) q[4];
cx q[0], q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(0.21817790403825055) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], q[3];
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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IZIZIIII",
"IIIIZIZI",
"IIIIIZZI",
"IIIZIZII",
"IZIIIZII",
"IIZIZIII",
"IIZIIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIZIII",
"IIIIIZII",
"IIZIIIII",
"ZIIIIIII"
] | [
-1.25,
-0.25,
-0.25,
-0.5,
-1.5,
-0.25,
-1.5,
-0.75,
-0.75,
-0.75,
-1.25,
2.25,
-0.25,
-1,
-2.25,
-0.25,
0.5,
-1.5,
-1,
3,
0.5,
1
] | 0.970078 | [
0.24633714219781486,
0.21817790403825055,
0.199992130079758,
0.1953546771601644,
-0.14097260777717124,
-0.07642561716032488,
0.30474345781691703,
0.6989900081918277,
0.16619846372059824,
-0.778933966788156,
-0.9833885279660904,
1.522204508836878,
0.4784825986818201,
0.33645844578145834,
... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 312 |
26d7f56e59bfdf48052023802b40605b | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [5, 9], "expectation_value": -2.473733379112567, "params": null, "bitstrings": ["11010", "10110"], "total_optimization_steps": 15, "probabilities": [0.07350741985248108, 0.9006631074695891], "optimization_time": 12.153727531433105} | 0.5 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(0) @ Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -0.75 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.75 * Z(3) + 0.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["11010", "10110"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(1.2499764251158545) q[0];
ry(-3.131892145691064) q[1];
rz(-pi) q[1];
cx q[0], q[1];
ry(-0.044478645155635405) q[1];
cx q[0], q[1];
ry(0.12664230797643383) q[0];
h q[2];
ry(1.5166171737405318) q[2];
ry(-0.03588918412791559) q[3];
rz(-pi) q[3];
ry(-0.0607466333... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5486) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIZZI",
"IIIZZ",
"ZIIIZ",
"ZIIZI",
"ZIIZZ",
"IZZII",
"ZIZII",
"ZZIII",
"ZZZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.75,
0
] | 0.996768 | [
-1.542809730398753,
-1.422554814258884,
1.2499764251158545,
1.5166171737405318,
-0.17498975827594188,
0.08895729031127081,
0.07763652938393162,
0.25328461595286766,
0.0158051754635434,
-0.01985291831550096,
-0.1417123084039368,
-0.06160524380502602,
-0.0461715348705158
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
4c20f1c198d9974c2e06b7b7ac531193 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [123, 127], "expectation_value": -7.212035359874228, "params": null, "bitstrings": ["10000100", "10000000"], "total_optimization_steps": 77, "probabilities": [0.4078207215529959, 0.4078207215529959], "optimization_time": 100.45897173881531} | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -1.25 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + 0.75 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(6)) + -0.5 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) + 0.5 * Z(3) + 1.25 ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["10000100", "10000000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.22157641917024928) q[0];
ry(0.00898152646378737) q[1];
ry(0.02472649820771007) q[2];
ry(0.05763287371265249) q[3];
ry(0.0036084805931868484) q[4];
ry(-0.04749337088044957) q[5];
ry(1.0911704212811806) q[6];
ry(0.2493891450036926) 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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIIZ",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
-0.25,
-1.25,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
-1.25,
-1,
0.75,
-1.25,
-0.5,
-0.25,
1.5,
0.5,
1.25,
-1,
-1,
-0.5
] | 0.971183 | [
-0.22157641917024928,
0.00898152646378737,
0.02472649820771007,
0.05763287371265249,
0.0036084805931868484,
-0.04749337088044957,
1.0911704212811806,
0.2493891450036926,
-0.9012942735590549,
-0.24745318900433683,
-0.01707069937213386,
-0.08040860354516637,
-0.03283962223876556,
0.089752880... | {
"n_parameters": 58,
"n_qubits": 8,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 51 |
71bc29fb36488a293ce19bf05d480b6c | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [88, 7], "expectation_value": -3.7456401896173652, "params": [[0.0784], [-0.07200000000000001]], "bitstrings": ["0100111", "1111000"], "total_optimization_steps": 10, "probabilities": [0.011892720452238955, 0.01234130388690976], "optimization_time": 2.3184072971343994} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 18 | 7 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6612840374081045) q[0];
rz(-pi) q[1];
ry(-0.03150573110831684) q[1];
h q[2];
ry(-0.43599685318391757) q[2];
h q[3];
h q[4];
ry(1.546350830551531) q[4];
h q[5];
cx q[5], q[2];
ry(0.43599685318391757) q[2];
cx q[5], q[2];
cx q[5], q[0];
ry(0.6612840374081045... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0)... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.25,
-3.75,
-3.25,
-3.25,
-3.25,
-2.75,
-3,
-3.25
] | 0.972365 | [
-1.523491197219107,
-0.20073046165090452,
-0.8719937063678351,
1.546350830551531,
-1.322568074816209,
0.7336476421619882,
-0.5561918284302394,
1.2696012849732945,
-0.16936496001740498,
0.30413099721442094,
-0.6531582873808613,
0.3365504327496698,
-0.7065468577519943,
0.3133726368643047,
... | {
"n_parameters": 38,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 71 |
-3373115122180636722 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 2, 3, 4, 6, 7, 8, 9, 10], [0, 2, 4, 5, 7, 8, 9, 10], [0, 1, 2, 3, 4, 5, 8, 10], [9, 5, 6], [0, 2, 3, 4, 5, 6, 7, 10]]} | {"states": [1653, 1909], "expectation_value": -0.9677029687733341, "params": [3.1444, 0.0017000000000000001, 3.1389, 0.0063, 1.5944, 0.0079, 0.498, 0.0083, 3.1390000000000002, 0.0053, 2.7954000000000003, 0.0, 3.1447000000000003, 0.0077, 0.4197, 0.0086, 3.1437, 0.007, 0.48410000000000003, 0.0097, 3.1438, 0.0036000000000... | 0.02896825396825397 * (Z(0) @ Z(1)) + 0.02896825396825397 * (Z(3) @ Z(1)) + 0.06468253968253967 * (Z(3) @ Z(0)) + 0.02896825396825397 * (Z(4) @ Z(1)) + 0.046825396825396826 * (Z(4) @ Z(0)) + 0.046825396825396826 * (Z(4) @ Z(3)) + 0.02896825396825397 * (Z(5) @ Z(1)) + 0.06468253968253967 * (Z(5) @ Z(0)) + 0.064682539682... | 16 | 11 | 1 | {"smallest_eigenvalues": [-1.0357142857142856, -1.0357142857142856, -1.0357142857142856, -1.0357142857142856, -1.0357142857142856, -1.0357142857142856, -1.0357142857142856, -1.0357142857142856], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.0246031746031745, "smallest_bitstrings": ["00000101010", "000... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-3.0234892365029884) q[0];
rz(0.30685431175202815) q[0];
rx(3.27889171175776) q[1];
rz(0.08014399954616949) q[1];
cx q[1], q[0];
rz(-0.12053947447900348) q[0];
cx q[1], q[0];
rz(-0.00737955799549541) q[1];
rx(2.152719613051908) q[2];
rz(-0.186378540753664) q[2];
rx(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIZIIIIIZI",
"IIIZIIIIIIZ",
"IIIZIIIZIII",
"IIIZIIZIIII",
"IIIZIZIIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIIIZIII",
"IIZIIIZII... | [
0.02896825396825397,
0.02896825396825397,
0.06468253968253967,
0.02896825396825397,
0.046825396825396826,
0.046825396825396826,
0.02896825396825397,
0.06468253968253967,
0.06468253968253967,
0.046825396825396826,
0.011111111111111112,
0.02896825396825397,
0.02896825396825397,
0.02896825396... | 0.9759 | [
3.2596960706765983,
0.18631483727302503,
3.27889171175776,
0.08014399954616949,
2.152719613051908,
-0.11952160494125033,
0.14310575193647856,
0.12493944414345354,
3.0346588841512974,
-0.16035272406630116,
3.044483831911971,
-0.22826577797242406,
3.1690995643503324,
-0.050130183214754896,
... | {
"n_parameters": 31,
"n_qubits": 11,
"optimal_eigenvalue": -1.0357142857142856,
"target_ratio": 0.97,
"target_value": -1.004642857142857
} | 7 |
e58428a6900eb2eef0cb4731fd8b4a99 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6... | {"states": [33, 45], "expectation_value": -11.493643507879883, "params": null, "bitstrings": ["1011110", "1010010"], "total_optimization_steps": 48, "probabilities": [0.21071138695011513, 0.7829323989572221], "optimization_time": 40.02530765533447} | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(6) @ Z(1)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(4) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + -2.5 * Z(5) + 1.75 ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-11.5, -11.5, -11.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.5, "smallest_bitstrings": ["1111110", "1010010", "1011110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(1.690944416721413) q[0];
ry(0.054699542645833876) q[0];
rz(-1.1769404323163797) q[0];
rz(-2.3881872169052443) q[1];
ry(0.20723270974804353) q[1];
rz(-2.857031240934929) q[1];
rz(-2.4596888100774237) q[2];
ry(0.14080968323527931) q[2];
rz(-2.993631691840007) q[2];
rz(... | 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[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",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"ZIIIIZI",
"ZIIIIIZ",
"IIIZIZI",
"IIIZZII",
"IZIZIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
-0.5,
-1.25,
-1,
-0.5,
-0.75,
-0.75,
2.5,
-0.75,
-0.75,
-0.25,
-0.5,
1.5,
-0.25,
-0.75,
-2.5,
1.75,
0.25,
0
] | 0.989705 | [
-0.022892677441185116,
0.2110669709326137,
-0.27094094257024,
0.6131998797071878,
-0.20111098885694167,
0.503350945250638,
0.020546732618873385,
0.3028834781091834,
0.2617247912178288,
0.41607371001171256,
-0.16363397257810378,
0.563891452430853,
0.8878830733377374,
-0.0634222979567583,
... | {
"n_parameters": 35,
"n_qubits": 7,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 9 |
93e55d194b256f6966b76e28ee2bee58 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [500, 372], "expectation_value": -89.37237385453942, "params": [1.3893, 0.2286, 0.7792, 0.2765, 1.3924, 0.0037, 1.3902, 0.0014, 1.4006, 0.23850000000000002, 0.3844, 0.7471, 1.4031, 0.20450000000000002, 0.0028, 0.9149, -0.0032, 0.7743, 1.3980000000000001, 0.0067, 0.7815000000000001, 0.0039000000000000003, 1.4... | 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(0) @ Z(3)) + 6.0 * (Z(2) @ Z(1)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(4) @ Z(1)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(4) @ Z(0)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(5) @ Z(2)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(8) @ Z(3)) + 13.0 * Z(1) ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-105.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.0, "smallest_bitstrings": ["010001011"], "largest_eigenvalue": 192.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.5950909450074633) q[0];
rz(-0.012279121563475659) q[0];
rx(0.14238611225656503) q[1];
rz(0.3623072290165399) q[1];
rx(1.6527616644921221) q[2];
rz(0.11377928808127996) q[2];
rx(1.6183504264133999) q[3];
rz(0.06302406438997002) q[3];
rx(1.5878233850792711) 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], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIZIIZII",
"IIZZIIIII",
"IZZIIIIII",
"ZIIIIZIII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
13,
26,
20.5,
23.5,
22,
2.5,
8.5,
-4.5,
-3.5
] | 0.971506 | [
1.5950909450074633,
0.33299144666115565,
0.14238611225656503,
0.3623072290165399,
1.6527616644921221,
0.11377928808127996,
1.6183504264133999,
0.06302406438997002,
1.5878233850792711,
0.03961896169386794,
0.2575874782486852,
0.7761738960672006,
1.5711917516994522,
0.4431260580117429,
-0.... | {
"n_parameters": 52,
"n_qubits": 9,
"optimal_eigenvalue": -105,
"target_ratio": 0.97,
"target_value": -101.85
} | 11 |
61e72a7f3bba48b5d0ac6a3978f4cc8b | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 12, "source": 1, "target": 2}, {"weight": 1, "source": 2, "tar... | {"states": [217, 218], "expectation_value": -40.47815299701979, "params": null, "bitstrings": ["100100110", "100100101"], "total_optimization_steps": 100, "probabilities": [0.09004638163920066, 0.16102425564288525], "optimization_time": 188.99739480018616} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 8.5 * Z(1) +... | 1 | 9 | 4 | {"smallest_eigenvalues": [-82.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 154.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0483335131627427) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0483335131627427) q[2];
cx q[0], q[2];
rz(1.4825487746828614) q[0];
rx(1.5903212513051308) q[0];
h q[3];
cx q[2], q[3];
rz(0.0483335131627427) q[3];
cx q[2], q[3];
h q... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(34.778) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIIZIIIII",
"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,
8.5,
5,
10.5,
5,
22,
15,
2,
17,
6
] | 0.974572 | [
0.0483335131627427,
-1.4734969215830827,
1.482548774682861,
-1.630158374978085,
-1.5196549872298504,
-1.6812432412868732,
2.1456031315340165,
-1.51463448411913,
1.8480943215643566,
1.5903212513051306
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -82,
"target_ratio": 0.97,
"target_value": -79.53999999999999
} | 49 |
e95c8bc22a5c03425fc32d877756198b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, ... | {"states": [44, 98], "expectation_value": -0.669454828569329, "params": [[0.0632, 0.0596, 0.0599], [-0.058, -0.057, -0.047900000000000005]], "bitstrings": ["1010011", "0011101"], "total_optimization_steps": 10, "probabilities": [0.012187967838639843, 0.012880894504053325], "optimization_time": 7.88780951499939} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(1) + -0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1100110", "1101100", "1010011", "0011101", "1100011"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.579450656118302) q[0];
h q[1];
ry(-0.44857055279780694) q[1];
h q[2];
cx q[2], q[1];
ry(0.44857055279780694) q[1];
cx q[2], q[1];
ry(-0.6176282854684922) q[1];
ry(0.9354167381087468) q[2];
h q[3];
ry(1.354925211870143) q[3];
cx q[3], q[2];
ry(-0.2031831782... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZZI",
"ZIIIIZI",
"IZIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-0.5,
-1,
-1,
-0.5,
-0.5
] | 0.995957 | [
-1.579450656118302,
-1.4796410360738341,
1.354925211870143,
1.5350111707384577,
-0.8971411055956139,
0.7322335598561136,
-0.11609142966867134,
-0.49347830243712204,
0.40636635650526653,
-0.24829996606274043,
0.2523136444711719,
-0.1666060973439571,
-0.08691841742404358,
0.04526886395189124... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
92e0d9744e7b0376f2c61fec7a621b77 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [104, 105], "expectation_value": -1.8897533893397451, "params": [0.7090000000000001, 0.0033, 0.7008, -0.12240000000000001, 0.22060000000000002, -0.2293, 0.7008, 0.234, 0.2605, 0.3836, -0.0012000000000000001, 0.5198, 0.5874, 0.00030000000000000003, 0.7001000000000001, -0.0026000000000000003, 0.7073, -0.1373, ... | 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(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0) @ Z(3)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(1) @ Z(4)) ... | 18 | 7 | 3 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["0010110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.5133697055041112) q[0];
h q[1];
ry(1.6084249374386541) q[1];
h q[2];
ry(1.6084249374386541) q[2];
ry(-0.053550572212937055) q[3];
rz(-pi) q[3];
ry(-0.053550572212937055) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.5133697055041112) q[0];
cx q[5], q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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",
"IIZIIZI",
"ZIIIIZI",
"ZIZIIII",
"ZIZIIZI",
"ZIIIZII",
"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,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25
] | 0.992524 | [
-1.5021443221766975,
1.6084249374386541,
-1.0267394110082224,
0.7506936281381614,
-0.5870557688839062,
0.4771553588124247,
-0.38953925180142007,
0.19253854567295237,
0.02981104842832527,
0.18877927704919473,
0.13517748060633164,
-0.03020286481052407,
-0.11241436734008918
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
2d427a1b11a2ac0cd77be7e19f4886a5 | min_cut | adaptive_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": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [17, 31], "expectation_value": -5.003273325054742, "params": null, "bitstrings": ["101110", "100000"], "total_optimization_steps": 46, "probabilities": [0.06089525169923372, 0.7530569891117818], "optimization_time": 36.72705554962158} | 0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * Z(5) + -0.25 * Z(0) + 0.25 * Z(1) + -0.75 * Z(4) + -0.25 * Z(2) + 1.25 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-pi) q[0];
ry(-0.36832466187853724) q[0];
h q[1];
ry(0.6996506090294817) q[1];
h q[2];
ry(1.4341160390699692) q[2];
h q[3];
ry(0.4350596706101028) q[3];
h q[4];
cx q[4], q[3];
ry(-0.4350596706101028) q[3];
cx q[4], q[3];
cx q[3], q[2];
ry(-1.4341160390699692) q[2];
c... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5708) q[4], 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 \... | [
"ZIIIIZ",
"ZIIIZI",
"IZIIZI",
"IIIZZI",
"IIZIZI",
"IZZIII",
"IIZZII",
"ZIIIII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"IIIZII",
"IIZIII"
] | [
0.25,
-0.5,
-0.75,
-0.75,
-0.25,
-2,
-1,
-0.25,
-0.25,
0.25,
-0.75,
-0.25,
1.25
] | 0.972729 | [
0.8701193412202056,
1.4380100031703458,
1.3993012180589635,
2.8682320781399384,
1.8506303529500285,
-0.13033527471164086,
-0.8865785813861408,
-2.183550689572806,
1.5402963289907818,
0.48885940179874426,
-1.2256497487012028,
-0.16742620949253897,
2.0704686115455657,
-0.4358628055452006,
... | {
"n_parameters": 29,
"n_qubits": 6,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 108 |
64b81587301614454a8e204aef648a08 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 5, "source": 1, ... | {"states": [103, 111], "expectation_value": -12.474865994844917, "params": null, "bitstrings": ["10011000", "10010000"], "total_optimization_steps": 66, "probabilities": [0.4267754212591789, 0.4267757631547689], "optimization_time": 70.63761782646179} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -1.25 * (Z(7) @ Z(1)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + 1.75 * Z(1) + -0.25 * Z(0) + -3.0 * Z(3) + -1.75 * Z(4) + 0.75... | 1 | 8 | 3 | {"smallest_eigenvalues": [-13.5, -13.5, -13.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -11.5, "smallest_bitstrings": ["10010000", "10011000", "10111110"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.7620331655042796) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.009727605300973743) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(0.022309653861594385) q[2];
cx q[3], q[2];
h q[4];
cx q[1], q[4];
rz(0.022309653861594385) q[4];
cx... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIZIIZ",
"IIIZIIZI",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIIIZZII",
"IIIZIZII",
"IIZIZIII",
"IIZIIZII",
"IZIIIZII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.25,
-1.5,
-0.75,
-1.25,
2,
-0.75,
-1,
-0.75,
-1.25,
-0.5,
-0.5,
1.75,
-0.25,
-3,
-1.75,
0.75,
2.5,
0,
0
] | 0.970256 | [
-0.7620331655042796,
0.009727605300973743,
0.022309653861594385,
-0.5342435375433542,
0.4659873954897646,
-0.037513852242874623,
-0.6135829027365842,
0.48420167523977486,
-0.6188044349738584,
-0.746188471536007,
1.1163776811111443,
-0.12719197134176755,
-0.03880296896392278,
-1.39805669698... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 176 |
3fa23bf7f5997a6a9414c1a1e69c52c7 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, ... | {"states": [807, 1831], "expectation_value": -1.64959368813552, "params": [[[0.2654, 0.1173], [0.6024, 0.1484], [0.6055, 0.3886], [0.1902, 0.29560000000000003], [-0.0135, 0.0757], [0.6003000000000001, 0.195], [0.15410000000000001, 0.4197], [0.1773, 0.5783], [0.5895, 0.3766], [0.5874, 0.3403], [0.5988, 0.5938]], [[0.590... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 15 | 11 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 23, "first_excited_energy": -2.375, "smallest_bitstrings": ["10000011100", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.029643966180166743) q[0];
rz(pi/2) q[0];
ry(0.39178513511322344) q[1];
ry(0.5427525155537967) q[2];
ry(0.6478381394613815) q[3];
ry(-0.15685193254960966) q[4];
ry(0.7977211775464561) q[5];
ry(0.012833035072556176) q[6];
ry(0.45690880233197506) q[7];
ry(0.544582172... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIIIZZZ",
"IIIIIIIZIZZ",
"IIIIIIIZZIZ",
"IIIIIIIZZZI",
"IIIIIIIZZZZ",
"IIIIIIZIIIZ",
"IIIIIZIIIZI",
"IIIIZIIIIZI",
"IIIIZZIIIII",
"IIIIZZIIIZI",
"IIIZIIIIZII",
"IIZIIIIIZII",
"IZIIIIIIZ... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0... | 0.972422 | [
0.029643966180166743,
0.39178513511322344,
0.5427525155537967,
0.6478381394613815,
-0.15685193254960966,
0.7977211775464561,
0.012833035072556176,
0.45690880233197506,
0.544582172894911,
0.6323381310406062,
1.016732492214451,
-0.0003542391823376928,
0.22394637271809345,
-0.2559326348028659... | {
"n_parameters": 125,
"n_qubits": 11,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 32 |
f222dfb2324275edf5e9240be57dcb14 | 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": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, ... | {"states": [102, 116], "expectation_value": -4.999883694157715, "params": null, "bitstrings": ["0011001", "0001011"], "total_optimization_steps": 29, "probabilities": [1.634929288736166e-05, 0.9999151802076248], "optimization_time": 21.92006230354309} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.5 * Z(6) + -0.5 * Z(2) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001011"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.07648152232230113) q[0];
rz(0.9216052864556517) q[0];
rx(1.7238757987083333) q[1];
rz(0.5715058600387561) q[1];
rx(0.5367869467538573) q[2];
rz(0.022857746598916207) q[2];
rx(1.8244911597998281) q[3];
rz(-0.23271919603398716) q[3];
rx(-0.32748779038630377) q[4];
r... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IZIZIII",
"IZIIIZI",
"ZIIZIII",
"ZZIIIII",
"ZIIIIZI",
"IIIZZII",
"IZIIZII",
"ZIZIIII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1.5,
-0.5,
-1.5,
-0.5,
0
] | 0.970993 | [
-0.07648152232230113,
0.6285015174134017,
1.7238757987083333,
0.5715058600387561,
0.5367869467538573,
0.022857746598916207,
1.8244911597998281,
-0.23271919603398716,
-0.32748779038630377,
0.01580364509740706,
2.1030469978115702,
0.30694892068083535,
1.2562968153353444,
0.25420176798302757,... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 28 |
36d9a5cf3521b49d4476ce715d8c0ad7 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capaci... | {"states": [1, 5], "expectation_value": -12.581213565944424, "params": [[[-0.003, 0.5304], [-0.006500000000000001, 0.5743], [-0.004, 0.649], [0.49470000000000003, 0.0027], [-0.0007, 0.6679], [0.7854, 0.0039000000000000003]], [[-0.0015, 0.49350000000000005], [0.0009000000000000001, 0.6561], [-0.0004, 0.5912000000000001]... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(5)) + 0.25 * Z(1) + -0.25 * Z(0) + -2.0 * Z(2) + -0.5 * Z(4) + 1.0 * Z(5) + 1.5 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["111010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.6292887025535705) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.04618041281989933) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.007673726159640182) q[2];
cx q[0], q[2];
rz(-0.6083754899099731) q[2];
rx(-1.404979792842081) q[2];
h q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"IIZIZI",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
-0.25,
-0.75,
-1.25,
-2.5,
-1.25,
-0.5,
3,
-0.75,
-0.75,
-1.5,
0.25,
-0.25,
-2,
-0.5,
1,
1.5
] | 0.970099 | [
-0.6292887025535705,
0.04618041281989933,
-0.007673726159640182,
0.0014916916360776782,
-0.46060734627126926,
0.3239788305077106,
0.01849303280472035,
-0.5146328598809707,
-0.6083754899099729,
0.8594047236079715,
0.5729854675707052,
-1.404979792842081,
-0.3213977582439117,
0.02464735125219... | {
"n_parameters": 36,
"n_qubits": 6,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 216 |
-5657510331550772443 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 7], [0, 3, 5], [0, 1], [5, 6, 7], [3, 4, 6], [2, 3], [2, 4], [0, 5, 7], [2, 6, 7]]} | {"states": [157, 93], "expectation_value": -3.0452931873024345, "params": null, "bitstrings": ["01100010", "10100010"], "total_optimization_steps": 47, "probabilities": [0.041157564034394606, 0.8912209959857698], "optimization_time": 69.78907871246338} | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(5) @ Z(7)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.16666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.1666666666666656], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8333333333333344, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 7.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.01789417482296862) q[1];
cx q[2], q[1];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[7];
rz(-0.24664107306356448) q[7];
cx q[2], q[7];
cx q[1], q[7];
cx q[2], q[3];
rz(-1.1338875184477608) q[3];
cx q[2], q[3];
cx q[2], 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(1.5298) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIZZI",
"ZIIIIZII",
"ZIIIIIZI",
"IIIIIIZZ",
"ZIIIIIIZ",
"IIIIZZII",
"IIIIZIIZ",
"ZIZIIIII",
"IIZIIIIZ",
"IIZIZIII",
"IZIIIZII",
"ZZIIIIII",
"IZIIZIII",
"IZZIIIII",
"IIIZIZII",
"IIIZZIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIZI",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIII... | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
... | 0.575084 | [
0.01789417482296862,
-0.24664107306356448,
-1.1338875184477608,
-0.8506790618586308,
0.8262082625837507
] | {
"n_parameters": 5,
"n_qubits": 8,
"optimal_eigenvalue": -3.1666666666666656,
"target_ratio": 0.97,
"target_value": -3.0716666666666654
} | 158 |
a5a32c53707adac7f9e2e89e005d6cef | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target":... | {"states": [0, 415], "expectation_value": -8.082514869580706, "params": [-0.6307, 0.8616, 0.10020000000000001, 1.3073000000000001, -0.6372, 0.9059, -0.2654, 1.2514, 0.6857000000000001, 0.3937, -0.2346, 0.9881000000000001, 0.7677, 0.7415, -0.22740000000000002, 0.7477, 0.7646000000000001, 1.1892, -0.07050000000000001, 1.... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * (Z(7) @ Z(4)) + -2.0 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(8) + 0.5 * Z(6) | 6 | 9 | 2 | {"smallest_eigenvalues": [-11.5, -11.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.5, "smallest_bitstrings": ["000000000", "001100000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-2.484383910114169) q[0];
rz(-1.51884410263151) q[0];
rx(-1.897970709746683) q[1];
rz(-1.4688179192980773) q[1];
rx(-0.07082805868703322) q[2];
rz(1.1163996830687442) q[2];
rx(-0.05471733875695272) q[3];
rz(-1.6510842305915876) q[3];
rx(2.357940307221001) 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": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIZZIIII",
"IZIZIIIII",
"IZIIZIIII",
"ZIIZIIIII",
"ZIIIZIIII",
"IIZZIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIZIIIIII"
] | [
-1,
-1.5,
-2,
0.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.971961 | [
-2.484383910114169,
3.1935448777531796,
-1.897970709746683,
3.243571061086613,
-0.07082805868703322,
-0.4543966437261523,
-0.05471733875695273,
3.0613047497931025,
2.357940307221001,
3.2001535138793584,
-3.2369755667008655,
2.4231363548542784,
0.7342108761666231,
3.1641802158799206,
0.42... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 257 |
0cd8bae9f3ba09d5e5d6ac36ba1aa2d4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [1, 65], "expectation_value": -0.3426190779745214, "params": [[-0.0714], [0.0781]], "bitstrings": ["111111110", "110111110"], "total_optimization_steps": 10, "probabilities": [0.002620055530081055, 0.002620226535753029], "optimization_time": 2.5904765129089355} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(6)) + 1.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(7)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.0, "smallest_bitstrings": ["111111110", "110101010", "111101010", "110111110"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.23733041828786886) q[0];
ry(-0.6689264302586558) q[1];
rz(-pi) q[1];
h q[2];
ry(-0.6689264302586558) q[3];
rz(-pi) q[3];
h q[4];
ry(-0.20884722359973915) q[5];
rz(-pi) q[5];
h q[6];
ry(0.6665505976609354) q[6];
ry(-0.17228866328763726) q[7];
rz(-pi) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIIIIIZZI",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"ZIIIIIZII",
"IIIZIZIII",
"IZIIIZIII",
"IIIZZIIII",
"IIZIZIIII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIZIIIII",
"IIZIIIIII",
"IIIIIIZII",
"... | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
1.75,
-0.25,
-0.25,
-0.5,
-1,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
0.25,
0.5,
0,
-1.25,
0.75,
0,
0.25
] | 0.971887 | [
-1.2073675314355201,
-0.4746608365757377,
1.7310739516609295,
-1.252421001575336,
-1.2953051354342926,
-0.005658193317766055,
1.3331011953218708,
1.4170028832734343,
-0.04560731809502762,
0.09290518136985806,
-0.19555665932058916,
-0.0960487809743433,
-1.7440528144016616,
-0.39572269317097... | {
"n_parameters": 29,
"n_qubits": 9,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 29 |
eb3b527956c7d7a4c5afd29a566d8a47 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4},... | {"states": [1662, 1663], "expectation_value": -21.306618795060732, "params": null, "bitstrings": ["00110000001", "00110000000"], "total_optimization_steps": 100, "probabilities": [0.06867416366910235, 0.25958030726441905], "optimization_time": 226.05585050582886} | -3.5 * (Z(0) @ Z(1)) + -2.5 * (Z(4) @ Z(1)) + -3.5 * (Z(4) @ Z(0)) + -2.5 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + -3.0 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 1.0 * (Z(7) @ Z(1)) + -3.5 * (Z(7) @ Z(0)) + 1.0 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(5)) + 0.5 ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-39.0, -39.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -38.0, "smallest_bitstrings": ["00110000011", "00110000000"], "largest_eigenvalue": 38.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(0.1272897485108723) q[0];
h q[1];
ry(-0.26120978865426286) q[1];
h q[2];
ry(-1.512454566442773) q[2];
h q[3];
h q[4];
ry(0.05493624560751911) q[4];
h q[5];
ry(0.1272897485108723) q[5];
h q[6];
h q[7];
cx q[7], q[0];
ry(-0.1272897485108723) q[0];
cx q[7], q[0... | null | {"node": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[7], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[... | [
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIIZZIIII",
"IIIIZIIIIZI",
"IIIIZIIIIIZ",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIZIIIIIZI",
"IIIZIIIIIIZ",
"IIIZIIZIIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIIZIIII",
"IIZIIZIII... | [
-3.5,
-2.5,
-3.5,
-2.5,
-3.5,
-2.5,
0.5,
-3,
0.5,
0.5,
1,
-3.5,
1,
1,
0.5,
-3,
2,
-3,
-3,
-3,
-1.5,
-2.5,
0.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
0.5,
-1.5,
-1
] | 0.974082 | [
0.2545794970217446,
1.4256199406525483,
0.10987249121503823,
-0.5224195773085257,
0.19159962273123088,
1.3881674870625085,
-0.24124307833175984,
0.08772949750154925,
0.113872082017238,
-0.540235366542356,
0.13837555635098578,
0.008034616527491045,
0.03057193669542481,
1.3155307359607196,
... | {
"n_parameters": 85,
"n_qubits": 11,
"optimal_eigenvalue": -39,
"target_ratio": 0.97,
"target_value": -37.83
} | 147 |
26d7f56e59bfdf48052023802b40605b | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 3}, {"id": 1}, {"id": 4}, {"id": 2}], "edges": [{"source": 0, "target": 3}, {"source": 3, "target": 1}, {"source": 3, "target": 4}, {"source": 1, "target": 4}, {"source": 4, "target": 2}]} | {"states": [23419, 23411], "expectation_value": -7.359728508155424, "params": [1.0921, 0.3123, 0.6618, 0.5781000000000001, 1.0718, 0.22360000000000002, 1.0719, 0.0364, 0.5412, 0.47740000000000005, 1.0410000000000001, 0.2414, 1.1071, -0.032600000000000004, 0.42700000000000005, 0.5831000000000001, 1.1135000000000002, 0.2... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.25 * (Z(3) @ Z(9)) + 0.25 * (Z(4) @ Z(10)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(11)) + 0.5 * (Z(5) @ Z(3)) ... | 16 | 15 | 3 | {"smallest_eigenvalues": [-8.749999999999964], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.749999999999961, "smallest_bitstrings": ["010010010001100"], "largest_eigenvalue": 26.250000000000025} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(1.2499764251158545) q[0];
ry(-3.131892145691064) q[1];
rz(-pi) q[1];
cx q[0], q[1];
ry(-0.044478645155635405) q[1];
cx q[0], q[1];
ry(0.12664230797643383) q[0];
h q[2];
ry(1.5166171737405318) q[2];
ry(-0.03588918412791559) q[3];
rz(-pi) q[3];
ry(-0.0607466333... | 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... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"IIIIIZIIIIIZIII",
"IIIIZIIIIIZIIII",
"IIIIIIIIIIZZIII",
"IIIZIIIIIZIIIII",
"IIIIIIIIIZIZIII",
"IIIIIIIIIZZIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.75,
0.75,
0.75,
1.25,
1.25,
1.25,
1,
1,
1,
1.25,
1.25,
1.25,
0.75... | 0.996768 | [
-1.542809730398753,
-1.422554814258884,
1.2499764251158545,
1.5166171737405318,
-0.17498975827594188,
0.08895729031127081,
0.07763652938393162,
0.25328461595286766,
0.0158051754635434,
-0.01985291831550096,
-0.1417123084039368,
-0.06160524380502602,
-0.0461715348705158
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
c207a7b4cd3f0efb0fa44764eec6604a | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 6, "source": 2, "target": 1}, {"capacity": 5, "source": 2, "target": 4}, {"capacity": 5, "so... | {"states": [6631, 6615], "expectation_value": -44.825794417193066, "params": [1.0435, -0.0356, 1.0443, 0.0002, -0.0021000000000000003, 0.9809, -0.0001, 1.3914, 1.0451000000000001, -0.0029000000000000002, 1.0456, 0.0037, 1.0532000000000001, -0.025400000000000002, 0.8738, 0.8113, 0.8985000000000001, 0.13440000000000002, ... | 0.5 * (Z(0) @ Z(4)) + 2.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(0)) + 3.0 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + 6.0 * (Z(6) @ Z(5)) + 1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + 2.0 * (Z(1) @ Z(5)) + 3.0 * (Z(1) @ Z(6)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(5)) + -1.5 * (Z(2) @ Z(6)) + -0.5 * (Z(10) @ ... | 18 | 13 | 3 | {"smallest_eigenvalues": [-45.33333333333333, -45.33333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -44.5, "smallest_bitstrings": ["0011000101000", "0011000110000"], "largest_eigenvalue": 156.66666666666669} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.03919900404802914) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.26038955357752364) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(0.12295043049294087) q[5];
cx q[0], q[5];
h q[6];
cx q[4], q[6];
rz(0.0080972549082... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x11;
input float[64] x12;
input float[64] x13;
inpu... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIIIZ",
"IIIIIIIZZIIII",
"IIIIIIIZIIIIZ",
"IIIIIIZIZIIII",
"IIIIIIZIIIIIZ",
"IIIIIIZZIIIII",
"IIIIIIIIZIIZI",
"IIIIIIIIIIIZZ",
"IIIIIIIZIIIZI",
"IIIIIIZIIIIZI",
"IIIIIIIIZIZII",
"IIIIIIIZIIZII",
"IIIIIIZIIIZII",
"IIZIIIIIZIIII",
"IIZIIIIZIIIII",
"IIZIIIZIIIIII",
"IIZIIIIIIIZ... | [
0.5,
2,
1,
3,
1.5,
6,
1,
0.8333333333333334,
2,
3,
-0.5,
-1,
-1.5,
-0.5,
-1,
-1.5,
0.5,
-1,
-2,
-3,
1,
2,
-1,
-2,
-3,
1,
2,
4,
-1,
-2,
-3,
0.8333333333333334,
1,
2,
2,
0.5,
1,
1.5,
-0.5,
-0.5,
-1,
-1,
-1,
1,
2,
3,
-1,
-1,
... | 0.905976 | [
0.03919900404802914,
0.26038955357752364,
0.12295043049294087,
0.008097254908228992,
0.027479073566993174,
0.09066750514128945,
0.05034812036080168,
0.05893931162781403,
0.000643074169123192,
-0.0879529644722815,
-0.03821017457563514,
-0.1332070244658603,
0.19942511798644225,
1.05719982605... | {
"n_parameters": 60,
"n_qubits": 13,
"optimal_eigenvalue": -45.33333333333333,
"target_ratio": 0.97,
"target_value": -43.97333333333333
} | 500 |
cba3c0f3028bedd24c97c562399fe60f | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [56, 7], "expectation_value": -7.496156880761796, "params": [[-0.050100000000000006, -0.0346, -0.0199], [0.0712, 0.0734, 0.0732]], "bitstrings": ["1000111", "1111000"], "total_optimization_steps": 10, "probabilities": [0.020259819045115972, 0.022827983063143157], "optimization_time": 6.851643085479736} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.25 ... | 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(-4.011935460582535e-09) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-4.011935460582535e-09) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-4.011935460582535e-09) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-4.011935460582535e-09) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
-3.25,
-3.5,
-3.25,
-3.25,
-2.75,
-3.25,
-2.75
] | 0.740989 | [
-4.011935460582535e-9,
1.3554674035363465e-8,
0.9694266146810376,
1.5707964080681434,
-1.5707962967130897,
1.5707963408013987
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 195 |
a748f2da2700c98e3b57fef1b29c5a5b | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [1023, 511], "expectation_value": -1.2072048494564416, "params": [[0.0732], [-0.0712]], "bitstrings": ["0000000000", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.001746673629381885, 0.001783329061529271], "optimization_time": 2.1886935234069824} | -2.0 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * (Z(8) @ Z(9)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(5) + 0.5 * Z(6) + ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.13434474463766727) q[0];
ry(0.04514134453244986) q[1];
ry(-0.10348894410373284) q[2];
ry(-0.13603164567968565) q[3];
ry(-0.10348894410373284) q[4];
ry(-0.020858194535045928) q[5];
ry(0.03380889313738458) q[6];
ry(0.19149599443985504) q[7];
ry(-0.2259623913990188)... | 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[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIIIZIZII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IIIZZIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIZIIII",
"IIZIIIIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIIIIIIIZ"... | [
-2,
-2,
-2,
-2,
-2,
-2,
-1.5,
-1.5,
0.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970699 | [
-0.13434474463766727,
0.04514134453244986,
-0.10348894410373284,
-0.13603164567968565,
-0.020858194535045928,
0.03380889313738458,
0.19149599443985504,
-0.2259623913990188,
0.07708681214372058,
3.094538471773446,
-0.07339828994543168,
-0.14187370937801355,
0.03836023652465803,
-0.128300943... | {
"n_parameters": 17,
"n_qubits": 10,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 32 |
-4140279770655496618 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[3, 4], [0, 4], [1, 2], [0, 2], [0, 1]]} | {"states": [22, 26], "expectation_value": -0.05220668141463285, "params": [[0.06910000000000001], [-0.07730000000000001]], "bitstrings": ["01001", "00101"], "total_optimization_steps": 10, "probabilities": [0.03324402075891379, 0.03324402075891379], "optimization_time": 0.3765227794647217} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -0.5, "smallest_bitstrings": ["00101", "01001", "11010", "01101", "10110", "10010"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.13660454784533765) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.13660454784533765) q[3];
h q[4];
cx q[4], q[0];
ry(0.13660454784533765) q[0];
cx q[4], q[0];
cx q[4], q[3];
ry(-0.19938799707667515) q[0];
cx q[2], q[0];
ry(0.19938799707667515) q[0];
cx q[2], q[0];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[0], q[2];
rz(x0) q[2];
cx ... | null | {"circuits": [], "gradients": []} | [
"ZZIII",
"ZIIIZ",
"IIIZZ",
"IIZIZ",
"IIZZI",
"ZIIII",
"IZIII",
"IIIIZ",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.983835 | [
-0.2732090956906753,
1.604890637711542,
-0.3987759941533503,
1.4877430329618035,
-0.06713273656637642,
-1.340522093907362,
0.02429131624448224,
0.1218040799606052,
-0.20101405573924908,
-1.1821902853565331,
-0.05581721242059237,
0.8044252550804925,
-0.6708999123121442,
-0.3773566270220149,... | {
"n_parameters": 24,
"n_qubits": 5,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 30 |
e4c65d82be0d39aa5a43dd21b25413c9 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [178, 179], "expectation_value": -2.6460279243791547, "params": [3.1387, 0.0089, 0.0024000000000000002, 0.0039000000000000003, 3.1388000000000003, 0.0011, 3.1436, 0.0013000000000000002, 0.0025, 0.0032, -0.019200000000000002, 0.008, 3.1445000000000003, 0.003, 1.6133000000000002, 0.0035, 0.0074, 0.0056, 0.002,... | 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)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-3.125, -3.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.125, "smallest_bitstrings": ["01001100", "01010001"], "largest_eigenvalue": 5.875} | 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 ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZZIII",
"IIIIZIIZ",
"IIZIIIIZ",
"IZIIIIIZ",
"IIZIZIII",
"IZIIZIII",
"IZZIIIII",
"IIZIZIIZ",
"IZIIZIIZ",
"IZZIIIIZ",
"IZZIZIII",
"IZZIZIIZ",
"ZIZIIIII",
"IZIIIIZI",
"IIIZIZII",
"ZIIIIZII",
"ZIIZIIII",
"ZIIZIZII",
"IIIIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
-0.25,
0,
-0.125,
-0.25,
-0.125,
-0.125,
-0.25
] | 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 |
9915ff93784d747e82bcd9a73a2399e5 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [13, 9], "expectation_value": -0.02981414360817336, "params": [[0.0368, 0.0126, -0.0466], [-0.0346, -0.0362, 0.0188]], "bitstrings": ["10010", "10110"], "total_optimization_steps": 10, "probabilities": [0.03255781503257066, 0.032581553083137114], "optimization_time": 4.167163848876953} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(4)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + -0.125 * (Z(1) @ Z(4) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(3) @ Z(4) @ Z(2)) + 0.12... | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.625, "smallest_bitstrings": ["10110"], "largest_eigenvalue": 4.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-0.0251969072812812) q[0];
h q[1];
ry(-0.5380823333224228) q[1];
h q[2];
ry(-0.5380823333224228) q[2];
h q[3];
cx q[3], q[1];
ry(0.5380823333224228) q[1];
cx q[3], q[1];
ry(-0.8810269947366784) q[1];
ry(1.3888852652990713) q[3];
h q[4];
cx q[4], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"ZIIIZ",
"IIZZI",
"IZIZI",
"ZIIZI",
"IZZII",
"ZIZII",
"ZZIII",
"IZZZI",
"ZIZZI",
"ZZIZI",
"ZZZII",
"ZZZZI",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.5,
-0.125,
-0.625,
-0.625,
-0.125
] | 0.972771 | [
-1.7357936832727832,
-1.0761646666448457,
0.8318258295933451,
1.3888852652990713,
-0.5583266175622739,
-0.9112528734271876,
0.7301946700289301,
-0.2369592768426538,
0.13507114255148295,
0.06045175738101835,
0.5736330844182135,
0.4348793797484596,
-0.5033799150929571,
-0.6485481651535171,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 14 |
b6acc179a4a15da3d535b4a626064489 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 4... | {"states": [63, 61], "expectation_value": -3.2341748281934777, "params": [[0.07400000000000001, 0.0779, 0.06910000000000001, 0.0594], [-0.0709, -0.08030000000000001, -0.0697, -0.0587]], "bitstrings": ["1000000", "1000010"], "total_optimization_steps": 10, "probabilities": [0.029746464914916698, 0.03780543315062879], "o... | -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + 0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + -0.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(6)) + -0.75 * Z(5) + -0.25 * Z(0) + 1.25 * Z(1) + 1.0 * Z(2) + -0.25... | 1 | 7 | 4 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["1000010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(0.3034667748162365) q[0];
ry(-0.07442258432305349) q[1];
ry(0.0687231461191891) q[2];
ry(-0.05385852511325843) q[3];
ry(0.147646440418712) q[4];
ry(0.147646440418712) q[5];
ry(-0.01142159409353806) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"IZIIIZI",
"IIIIZZI",
"IZZIIII",
"IIZIZII",
"ZIIIIIZ",
"ZIIIZII",
"ZIZIIII",
"IIIZIZI",
"IIZZIII",
"ZIIZIII",
"IZIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII"
] | [
-0.5,
-0.5,
-1,
-0.25,
-0.75,
0.75,
-1.25,
-0.5,
-0.25,
-1.25,
-1.5,
-0.75,
-0.25,
1.25,
1,
-0.25,
-2.5,
1.5
] | 0.974572 | [
0.3034667748162365,
-0.07442258432305349,
0.0687231461191891,
-0.05385852511325843,
0.147646440418712,
-0.01142159409353806,
0.07066125296599378,
0.042559931842685965,
-0.013597990498522415,
-0.042688937240018016,
-0.02389108747559633,
-0.016411155865240244,
-0.14788340467558186,
-0.188696... | {
"n_parameters": 49,
"n_qubits": 7,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 39 |
da1b1c85f8e653b867f6f4bdba638afa | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [33, 7], "expectation_value": -2.9953329500323838, "params": [[-0.2777], [0.2753]], "bitstrings": ["1011110", "1111000"], "total_optimization_steps": 30, "probabilities": [0.027964571523190405, 0.028104697786183696], "optimization_time": 1.8457980155944824} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -2.0 * Z(3) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["0111001", "1101001", "1111000"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-3.03208384136978) q[0];
rz(1.1529037528344812) q[0];
rx(3.0700951243921843) q[1];
rz(-1.3038601993648782) q[1];
rx(2.7848649180839136) q[2];
rz(-1.3038601993648782) q[2];
rx(-0.3029962700085394) q[3];
rz(-0.6966306365913719) q[3];
rx(2.903387714224511) q[4];
rz(0.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0)... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"IIZIIZI",
"IIZZIII",
"IZIIIZI",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IIZIIII",
"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,
-2,
-1.5,
-1.5,
-2,
-1,
-0.5,
0
] | 0.97036 | [
3.2511014658098065,
0.9365748093907186,
3.0700951243921843,
-1.3038601993648782,
2.7848649180839136,
-0.3029962700085394,
-0.6966306365913719,
2.903387714224511,
0.7624352408508751,
2.8830223660071757,
-2.241045445073787,
2.8420106823505695,
0.9076514518624942,
-0.007602550276479374,
3.1... | {
"n_parameters": 31,
"n_qubits": 12,
"optimal_eigenvalue": -4.125,
"target_ratio": 0.97,
"target_value": -4.00125
} | 47 |
607dfe672a9c089714e83d20227118f4 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [73, 104], "expectation_value": -4.996397370675801, "params": null, "bitstrings": ["0110110", "0010111"], "total_optimization_steps": 26, "probabilities": [0.06635256082958879, 0.9303255897208923], "optimization_time": 29.967185497283936} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -2.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(1) + -1.5 * Z(4) + -1.0 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["0010111", "0110110", "0110011"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.500912732271395) q[0];
ry(1.4031395932287742) q[1];
ry(0.03390556761343118) q[2];
ry(1.2514493420283546) q[3];
ry(0.5079143254870274) q[4];
ry(1.9164698869751478) q[5];
ry(1.3873586783535519) q[6];
ry(1.3764070679267257) q[7];
ry(-0.008194751781041447) q[8];
ry(1.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IZIIIIZ",
"IIIIZZI",
"IIZIZII",
"IZZIIII",
"IIZIIZI",
"ZIIIZII",
"ZIIIIZI",
"ZIZIIII",
"IIIZZII",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1,
-1,
-1.5,
-1,
-0.5
] | 0.977042 | [
0.500912732271395,
1.4031395932287742,
0.03390556761343118,
1.2514493420283546,
0.5079143254870274,
1.9164698869751478,
1.3873586783535519,
1.3764070679267257,
-0.008194751781041447,
1.248539139546448,
-0.03308576838918488,
0.731429635255586,
1.6596360117117979,
0.24110743227389958,
0.10... | {
"n_parameters": 33,
"n_qubits": 11,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 34 |
e98b53e0167756e0364419ca81191dd8 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [96, 120], "expectation_value": -4.999934068931291, "params": null, "bitstrings": ["0011111", "0000111"], "total_optimization_steps": 33, "probabilities": [1.383465500065299e-05, 0.9999481801794438], "optimization_time": 24.891334772109985} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(1) + -1.0 * Z(6) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0000111"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.24909120364595053) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.24909120364595053) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.24909120364595053) q[2];
cx q[4], q[2];
rz(1.193373369563484) q[4];
rx(0.88264671234436... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIZIIIZ",
"IZIIIIZ",
"IIZIIZI",
"IZIIIZI",
"ZIIIIZI",
"IIZIZII",
"ZIIIZII",
"IZIZIII",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-1,
-0.5,
-0.5
] | 0.9471 | [
-0.24909120364595053,
1.193373369563484,
-2.0987034762529904,
0.8826467123443694,
0.7130854719426324,
-1.607622645586924,
2.3151552480734114,
-1.156367733753227,
0.5197043517845391,
-1.2593119444119423,
1.382078940991915,
-0.6706278912224314
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 359 |
1c79f0f3ab411f52384b2206b6163064 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": ... | {"states": [0, 1020], "expectation_value": -13.841771498671891, "params": [[-0.068], [0.18050000000000002]], "bitstrings": ["1111111111", "0000000011"], "total_optimization_steps": 20, "probabilities": [0.006841717656917849, 0.007150212933168103], "optimization_time": 1.4121832847595215} | -4.0 * (Z(0) @ Z(1)) + 1.5 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + -3.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(3)) + -4.0 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(3)) + -3.5 * (Z(5) @ Z(4)) + -4.0 * (Z(7) @ Z(1)) + -3.5 * (Z(7) @ Z(0)) + -3.5 * (Z(7) @ Z(3)) + -3.5 * (Z(7) @ Z(4)) + ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-61.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.5, "smallest_bitstrings": ["0000000011"], "largest_eigenvalue": 30.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.021022227861581685) q[0];
h q[1];
h q[2];
ry(0.0667864641421551) q[2];
h q[3];
ry(-0.024666122305707312) q[3];
h q[4];
ry(-0.08171315108077311) q[4];
h q[5];
ry(-0.05801491712267685) q[5];
h q[6];
h q[7];
ry(0.283375467141875) q[7];
cx q[1], q[7];
ry(-0.2... | 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;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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]... | {"node": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIZIII",
"IIIIZZIIII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZIIIZIII",
"IIZIIZIIII",
"IIZIZIIIII",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIZIIZII"... | [
-4,
1.5,
-3,
2,
-3.5,
-3,
-4,
-3.5,
-3.5,
-3.5,
-4,
-3.5,
-3.5,
-3.5,
-3.5,
-3.5,
2,
1.5,
-3.5,
-3.5,
-3.5,
-3,
0.5,
0.5,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.97028 | [
0.56675093428375,
-0.1160298342453537,
-0.04204445572316337,
0.5461482273989519,
-0.5450651156091257,
0.1335729282843102,
-0.2037178637197401,
0.0672720566989615,
0.054858113917488335,
0.13247460476310713,
-0.16342630216154622,
-0.049332244611414625,
0.3139510493102232,
0.12059984160146506... | {
"n_parameters": 92,
"n_qubits": 10,
"optimal_eigenvalue": -61.5,
"target_ratio": 0.97,
"target_value": -59.655
} | 186 |
2d427a1b11a2ac0cd77be7e19f4886a5 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [32, 31], "expectation_value": -0.20490931736604578, "params": [[-0.0539], [0.0637]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.017891765650357046, 0.01809304541801903], "optimization_time": 1.1860930919647217} | 0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * Z(5) + -0.25 * Z(0) + 0.25 * Z(1) + -0.75 * Z(4) + -0.25 * Z(2) + 1.25 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-pi) q[0];
ry(-0.36832466187853724) q[0];
h q[1];
ry(0.6996506090294817) q[1];
h q[2];
ry(1.4341160390699692) q[2];
h q[3];
ry(0.4350596706101028) q[3];
h q[4];
cx q[4], q[3];
ry(-0.4350596706101028) q[3];
cx q[4], q[3];
cx q[3], q[2];
ry(-1.4341160390699692) q[2];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[5], ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"ZIIIIZ",
"ZIIIZI",
"IZIIZI",
"IIIZZI",
"IIZIZI",
"IZZIII",
"IIZZII",
"ZIIIII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"IIIZII",
"IIZIII"
] | [
0.25,
-0.5,
-0.75,
-0.75,
-0.25,
-2,
-1,
-0.25,
-0.25,
0.25,
-0.75,
-0.25,
1.25
] | 0.972729 | [
0.8701193412202056,
1.4380100031703458,
1.3993012180589635,
2.8682320781399384,
1.8506303529500285,
-0.13033527471164086,
-0.8865785813861408,
-2.183550689572806,
1.5402963289907818,
0.48885940179874426,
-1.2256497487012028,
-0.16742620949253897,
2.0704686115455657,
-0.4358628055452006,
... | {
"n_parameters": 29,
"n_qubits": 6,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 108 |
-2315846002195225025 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 5], [1, 3], [2, 5], [8, 9], [8, 3], [3, 6], [0, 3], [4, 6], [0, 7]]} | {"states": [795, 794], "expectation_value": -0.8549229387070334, "params": [0.7001000000000001, -0.027600000000000003, 0.6999000000000001, 0.0048000000000000004, 0.7035, -0.0297, 0.7063, 0.0091, 0.7066, 0.1017, 0.5504, 0.0041, 0.5209, 0.10500000000000001, 0.5272, 0.0053, 0.7026, 0.08600000000000001, 0.47950000000000004... | 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.0 * Z(5) + 0.0 * Z(9) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(8) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 *... | 6 | 10 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100011010", "0011100101"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(3.0975355300079936) q[0];
rz(1.6615803123016963) q[0];
rx(2.2057527415448552) q[1];
rz(1.4079834083414546) q[1];
rx(-0.24819269123594517) q[2];
rz(1.4069356465607292) q[2];
rx(0.14727865323521336) q[3];
rz(1.875056846957568) q[3];
rx(1.098139526425634) q[4];
rz(1.58... | OPENQASM 3.0;
include "stdgates.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": []} | [
"ZIIIZIIIII",
"IIIIIIZIZI",
"IIIIZIIZII",
"ZZIIIIIIII",
"IZIIIIZIII",
"IIIZIIZIII",
"IIIIIIZIIZ",
"IIIZIZIIII",
"IIZIIIIIIZ",
"IIIIZIIIII",
"ZIIIIIIIII",
"IIIIIIZIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IZIIIIIIII",
"IIIZIIIIII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.971428 | [
3.0975355300079936,
0.09078398550680024,
2.2057527415448552,
-0.16281291845344226,
-0.2481926912359452,
-0.16386068023416767,
0.14727865323521336,
0.3042605201626709,
1.098139526425634,
0.016220746434873857,
1.378883686415547,
0.008066351927403036,
1.164076968645698,
0.12598461752244514,
... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 156 |
-8536726310325090405 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 2, 4], [0, 2, 3, 5], [0, 4], [1, 3, 5]]} | {"states": [60, 57], "expectation_value": -1.34091316176903, "params": null, "bitstrings": ["000011", "000110"], "total_optimization_steps": 31, "probabilities": [0.07996505016298132, 0.7683888453984267], "optimization_time": 28.65952444076538} | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.4166666666666665, -1.4166666666666665, -1.4166666666666665], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.0000000000000004, "smallest_bitstrings": ["110000", "000110", "000011"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.10996529064838054) q[0];
rz(0.2924073633771175) q[0];
rx(-0.18500203903182616) q[1];
rz(0.802814581026641) q[1];
rx(2.9894241545791282) q[2];
rz(0.09231885859569286) q[2];
rx(3.2406812536740053) q[3];
rz(-0.2867525554630239) q[3];
rx(3.044523790869313) 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(1.2292) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIZZI",
"IZIZII",
"IZIIZI",
"IIIZIZ",
"IZIIIZ",
"IIZZII",
"IIZIZI",
"IIZIIZ",
"ZIIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"IIIZII",
"IIIIZI",
"IZIIII",
"IIIIIZ",
"IIZIII",
"ZIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.5,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.25,
0.29166666666666663,
0.3333333333333333,
0.16666666666666663,
0.1... | 0.987489 | [
-0.10996529064838054,
0.2924073633771175,
-0.18500203903182616,
0.802814581026641,
2.9894241545791282,
0.09231885859569286,
3.2406812536740053,
-0.2867525554630239,
3.044523790869313,
0.5510183337461183,
3.0110683886974487,
-0.3349542452783071
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -1.4166666666666665,
"target_ratio": 0.97,
"target_value": -1.3741666666666665
} | 13 |
cde6b48ed870286595c1455af7aff8bd | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [4, 0], "expectation_value": -0.14843555433080782, "params": [[0.07640000000000001, 0.0702], [-0.0854, -0.07680000000000001]], "bitstrings": ["011", "111"], "total_optimization_steps": 10, "probabilities": [0.1300517912176753, 0.1384721969866893], "optimization_time": 1.3877627849578857} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0) @ Z(1)) + -0.75 * Z(0) + -0.75 * Z(1) + -0.75 * Z(2) | 1 | 3 | 2 | {"smallest_eigenvalues": [-1.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["111"], "largest_eigenvalue": 3.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[... | null | {"circuits": [], "gradients": []} | [
"IZZ",
"ZIZ",
"ZZI",
"ZZZ",
"IIZ",
"IZI",
"ZII"
] | [
0.25,
0.25,
0.25,
-0.25,
-0.75,
-0.75,
-0.75
] | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
745981759894492285 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4, 5], [1, 3, 6], [3, 7], [2, 5, 7], [5, 6, 7], [0, 6]]} | {"states": [205, 54], "expectation_value": -0.043785748677296066, "params": [[-0.0621], [0.0733]], "bitstrings": ["00110010", "11001001"], "total_optimization_steps": 10, "probabilities": [0.004169882522932811, 0.004194038355322087], "optimization_time": 2.2265732288360596} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.3333333333333333 * (Z(7) @ Z(5... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.3333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0000000000000004, "smallest_bitstrings": ["11001001"], "largest_eigenvalue": 4.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.3222359836355366) q[0];
h q[1];
ry(-0.284201187267387) q[1];
h q[2];
ry(0.42996351895026247) q[2];
h q[3];
h q[4];
ry(-0.27453853609006407) q[4];
h q[5];
ry(1.4606709019999626) q[5];
h q[6];
cx q[6], q[0];
ry(0.3222359836355366) q[0];
cx q[6], q[0];
ry(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(x0) q[5];
cx q[4], q[5];
cx q[3], q... | null | {"circuits": [], "gradients": []} | [
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IIIIZIZI",
"IZIIZIII",
"IZZIIIII",
"IZIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIZIIZII",
"ZIIIIZII",
"IZIIIIIZ",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IIIIIIZI",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIIIIIZ"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.33333333333333326,
0.49... | 0.970245 | [
1.4606709019999626,
-0.6444719672710733,
1.0065908333631925,
-0.7558122636606135,
0.8874717448023651,
-0.7760473182871104,
-0.5240146531075692,
0.3030881152835526,
0.49308633089354087,
-0.5037366922371739,
-0.326011233700507,
0.8599270379005249,
-0.5490770721801281,
-0.568402374534774,
0... | {
"n_parameters": 44,
"n_qubits": 8,
"optimal_eigenvalue": -2.3333333333333335,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 17 |
-2420673937675659385 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 3, 4, 5, 7], [1, 3, 4, 5, 7, 8], [0, 1, 2, 3, 4, 5, 8], [0, 2, 3, 6, 8], [0, 1, 2, 3, 4, 7, 8], [0, 3, 4, 5, 6, 7, 8]]} | {"states": [463, 347], "expectation_value": -0.5795155334299992, "params": [[-0.36110000000000003], [0.3714]], "bitstrings": ["000110000", "010100100"], "total_optimization_steps": 40, "probabilities": [0.0035481711857068246, 0.0035846276099593703], "optimization_time": 4.785508632659912} | 0.07142857142857142 * (Z(0) @ Z(1)) + 0.07142857142857142 * (Z(2) @ Z(1)) + 0.12142857142857143 * (Z(2) @ Z(0)) + 0.10476190476190475 * (Z(3) @ Z(1)) + 0.14523809523809522 * (Z(3) @ Z(0)) + 0.12142857142857143 * (Z(3) @ Z(2)) + 0.10476190476190475 * (Z(4) @ Z(1)) + 0.09523809523809523 * (Z(4) @ Z(0)) + 0.07142857142857... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.161904761904762], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.1619047619047618, "smallest_bitstrings": ["010100100"], "largest_eigenvalue": 5.999999999999997} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.019196178085637606) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.019196178085637606) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.023142677990222245) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.005237311121009612) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIIIZIII",
"IZIIZIIII",
"IZIZIIIII",
"... | [
0.07142857142857142,
0.07142857142857142,
0.12142857142857143,
0.10476190476190475,
0.14523809523809522,
0.12142857142857143,
0.10476190476190475,
0.09523809523809523,
0.07142857142857142,
0.12857142857142856,
0.08095238095238094,
0.07142857142857142,
0.047619047619047616,
0.10476190476190... | 0.970811 | [
0.019196178085637606,
0.023142677990222245,
0.005237311121009612,
0.07615920182109767,
0.22765393304451095,
0.11260493007629524,
0.022985894402825686,
0.007056416810509503,
0.05791528210114562,
-0.00835601158705691,
-0.07583474713209601,
0.13711590632755932,
0.04109675041788756,
-1.5386609... | {
"n_parameters": 21,
"n_qubits": 9,
"optimal_eigenvalue": -1.161904761904762,
"target_ratio": 0.97,
"target_value": -1.127047619047619
} | 286 |
1255058835107117913 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 7], [0, 2], [1, 6], [3, 5]]} | {"states": [209, 216], "expectation_value": -0.03141358872810557, "params": [[0.0635], [-0.0625]], "bitstrings": ["00101110", "00100111"], "total_optimization_steps": 10, "probabilities": [0.004157511555982623, 0.004157511555982623], "optimization_time": 0.4604158401489258} | 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.0 * Z(7) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(3) | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -1.0, "smallest_bitstrings": ["10000111", "11000101", "11010001", "00111010", "11011000", "01100101", "00110011", "01101100", "01110001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(1.575936204355747) q[0];
cx q[2], q[0];
rz(-0.06896248482419587) q[0];
rx(-0.8005003844207143) q[0];
rz(-0.06896248482419587) q[2];
rx(-0.8005003844207143) q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[3];
rz(1.575936204355747) q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[4];
rz(x0) q[4];
cx q[7], q[4];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[6], q[1];
rz(x0) q[1];
cx q[6], q[1];
cx q[5]... | null | {"circuits": [], "gradients": []} | [
"ZIIZIIII",
"IIIIIZIZ",
"IZIIIIZI",
"IIZIZIII",
"ZIIIIIII",
"IIIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIZIIIII",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.994709 | [
1.575936204355747,
-0.06896248482419622,
-0.8005003844207141
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 16 |
fd959b015d7c5b50b2cd05831ed95a60 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [34, 50], "expectation_value": -3.0512812562889513, "params": [0.5023, -0.0018000000000000002, 0.4621, -0.0007, 0.037200000000000004, 0.31920000000000004, 0.0367, 0.3058, 0.5021, 0.1626, 0.0028, 0.2426, 0.49920000000000003, -0.0011, 0.46890000000000004, 0.007500000000000001, 0.030100000000000002, 0.318700000... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(5) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4) | 3 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "010011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.2814273479283241) q[0];
cx q[5], q[0];
rz(0.988627421386453) q[0];
rx(-1.6100914394477277) q[0];
cx q[5], q[1];
rz(-0.2814273479283241) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.2814273479283241) q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIZ",
"ZIIIZI",
"ZIIZII",
"IIIZZI",
"ZIZIII",
"IIZIZI",
"IZIZII",
"IZZIII",
"ZIIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-1,
-1,
-0.5
] | 0.793132 | [
-0.2814273479283241,
-2.083999084261337,
0.9886274213864532,
-0.2943566891904666,
-0.17545221926890683,
-1.6100914394477277,
0.44025124807503524,
1.5189639182857877,
-0.6158615151039641,
-0.2722032415841509,
-0.7056736669533165
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 249 |
2353079fa286d356ce3844ef645b5899 | 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": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 1, "source": 2, ... | {"states": [127, 1], "expectation_value": -1.394835401295747, "params": [[-0.038, -0.0509, -0.0563, -0.0723], [0.0233, 0.0555, 0.0579, 0.0689]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.010764032754836943, 0.011080391533421627], "optimization_time": 7.030783414840698} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(2)) + 0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.75, "smallest_bitstrings": ["11111110", "10001000", "10000000"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.014476605054925226) q[0];
ry(-0.08302690308798039) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5021299714943626) q[2];
ry(-0.20507589807993404) q[3];
rz(-pi) q[3];
ry(-0.0064225517544533916) q[4];
rz(-pi) q[4];
ry(-0.007758952866561823) q[5];
rz(-pi) q[5];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIIIIZZI",
"ZIIIIIIZ",
"ZIIIIIZI",
"IZIZIIII",
"IZIIIZII",
"IZIIIIZI",
"ZZIIIIII",
"IIIZZIII",
"IIIIZZII",
"IIIIZIZI",
"IZIIZIII",
"IIZZIIII",
"IIZIIZII",
"IZZIIIII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"ZIIIIIII",
"IZIIIIII",
"IIIIZIII",
"IIZIIII... | [
-0.5,
-0.5,
0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
-0.5,
-1,
-0.25,
-1.5,
-0.25,
0.25,
0.5,
1,
1.25
] | 0.996058 | [
-1.5021299714943626,
-1.527893052920365,
-1.541794211553103,
1.640141240938177,
-1.440851768577839,
-1.2949408354430672,
-1.5107160653792404,
-0.09383531025815497,
-0.1415591865437907,
-0.24437121070099205,
-0.08695744059343821,
-0.07296144424015699,
-0.059381324036815154
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 1 |
3d9533956931a54aca3d2a9ec3cfbbbc | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"sour... | {"states": [69, 85], "expectation_value": -5.296810621255694, "params": [0.0795, 0.0847, -0.0196, -0.0204, 0.30670000000000003, 0.3084, 0.0013000000000000002, 0.0024000000000000002, 0.2783, 0.2716, 0.0024000000000000002, -0.0006000000000000001, 0.2963, 0.30060000000000003, 0.0036000000000000003, 0.012100000000000001, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) ... | 13 | 9 | 3 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["100101110", "110101010"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.16106373113861303) q[0];
rz(-0.09191280959104675) q[0];
ry(-0.4240499915689685) q[1];
ry(0.6532735388168304) q[2];
ry(-0.2543131413088512) q[3];
ry(0.29757757495020365) q[4];
ry(-0.15289105559321184) q[5];
ry(0.429931018447244) q[6];
ry(0.18493678771644168) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZIIIZIII",
"IIIZIIZII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIZIIIIII",
"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,
-1,
-1,
-1.5,
-1.5,
-1.5,
0,
-1
] | 0.976097 | [
0.16106373113861303,
-0.4240499915689685,
0.6532735388168304,
-0.2543131413088512,
0.29757757495020365,
-0.15289105559321184,
0.429931018447244,
0.18493678771644168,
0.423849523949048,
-0.1838256191820935,
0.32616844091603747,
-0.12621140780176388,
-0.41667625698229527,
-0.0376242132544050... | {
"n_parameters": 98,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 11 |
5352a77ee8029c0a1cc2f13dec084536 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"sour... | {"states": [0, 252], "expectation_value": -5.385654500780065, "params": [-0.1642, 0.1726, 0.6809000000000001, 0.0058000000000000005, -0.8136, 0.21450000000000002, 0.6616000000000001, 0.0036000000000000003, -0.9021, 0.5914, 0.5165000000000001, 0.005200000000000001, 0.8846, 0.865, 0.4137, 0.0019, 0.9232, 0.96920000000000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 1.0 * Z(7) + -1.0 * Z(6) | 6 | 8 | 1 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.5, "smallest_bitstrings": ["00000011", "00000000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.26689391520476863) q[0];
rz(1.8815634171615123) q[0];
rx(0.005065105466946079) q[1];
rz(1.2054426963734217) q[1];
rx(0.07691469426052921) q[2];
rz(2.302801022221014) q[2];
rx(-0.042495521522279374) q[3];
rz(1.1610870004133922) q[3];
rx(-0.030371797638472753) 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[... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.97488 | [
0.2668939152047687,
0.3107670903666161,
0.005065105466946079,
-0.3653536304214746,
0.07691469426052921,
0.7320046954261172,
-0.04249552152227937,
-0.4097093263815043,
-0.030371797638472753,
0.23229577934773035,
0.0747166405240893,
0.8857088456591191,
0.04521062899081855,
0.6358595752718514... | {
"n_parameters": 80,
"n_qubits": 8,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 122 |
cee21d2c524e6fc138e70d6d9e27345e | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 6, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 2}]} | {"states": [255, 239], "expectation_value": -13.044822041434337, "params": [[[-0.3713, 1.1573], [-0.0022, 1.5777], [-0.0023, -0.0017000000000000001], [-0.0029000000000000002, -0.0028], [-1.657, 0.003], [0.0015, 0.0026000000000000003], [-0.0022, -0.0029000000000000002], [-0.003, 1.5684], [-0.4922, -1.0029000000000001]],... | 2.0 * (Z(1) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(1)) + 1.0 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 1.0 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) ... | 15 | 9 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["100010000"], "largest_eigenvalue": 55.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.08561040186494705) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.08561040186494705) q[3];
cx q[2], q[3];
cx q[1], q[3];
cx q[2], q[0];
rz(-0.13032020170893938) q[0];
cx q[2], q[0];
rz(-0.13032020170893938) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IZIIIIZII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIIIIIZ",
"ZIIIIIZII",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIIZIIIZ",
"IZIIZIIII",
"ZIIIZIIII",
"... | [
2,
2,
1,
1,
0.5,
0.5,
1,
0.5,
0.5,
0.5,
1,
0.5,
0.5,
0.5,
1,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-2,
-1,
-1,
-1,
-1,
-1,
1,
-3,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
1.5,
3,
5,
2.5,
2.5,
0,
1.5,
1.5,
-0.5,
-1,
-1.5
] | 0.69852 | [
-0.08561040186494705,
-0.13032020170893938,
-0.09293795236063519,
-0.1836712523285487,
0.1609684499092548,
-0.012457635001121998,
-0.0033797729801731662,
0.12930263904239359,
-0.05240497445492781,
-1.5648064933444994,
-1.5025379725146595,
-1.0821352790424412,
1.4484250023356933,
0.98938625... | {
"n_parameters": 14,
"n_qubits": 9,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 296 |
-3566916534196087486 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 3], [0, 3, 6], [1, 3, 4], [1, 2, 4], [8, 1, 6, 7], [4, 5], [1, 2, 7], [2, 4, 6], [0, 1, 2, 5], [8, 0, 4], [0, 1, 7], [0, 2, 3, 7], [5, 6], [0, 3, 5, 7], [2, 3, 6]]} | {"states": [343, 438], "expectation_value": -2.2353015014678705, "params": [[0.4559], [-0.3594]], "bitstrings": ["010101000", "001001001"], "total_optimization_steps": 60, "probabilities": [0.016374834447563075, 0.01657372720044464], "optimization_time": 3.305306911468506} | 0.5 * (Z(8) @ Z(3)) + 0.3333333333333333 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(8)) + 0.25 * (Z(1) @ Z(0)) + 0.083333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.083333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.999999999999999, "smallest_bitstrings": ["001001001"], "largest_eigenvalue": 13.499999999999998} | 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[3], q[8];
rz(0.7256699389000804) q[8];
cx q[3], q[8];
cx q[3], q[0];
rz(0.0272351079854451) q[0];
cx q[3], q[0];
cx q[3], q[6];
rz(0.0272351079854451) q[6];
cx q[3], q[6];
cx q[3], q[1];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"ZIIIIZIII",
"IIIIIZIIZ",
"ZIIIIIIIZ",
"IIZIIZIII",
"ZIZIIIIII",
"IIZIIIIIZ",
"IIIIIZIZI",
"ZIIIIIIZI",
"IIIIIIIZZ",
"IIZIIIIZI",
"IIIIZZIII",
"ZIIIZIIII",
"IIIIZIIIZ",
"IIZIZIIII",
"IIIIZIIZI",
"IIIIIZZII",
"IIIIIIZIZ",
"IIZIIIZII",
"IIIIIIZZI",
"IIIIZIZII",
"IZIIIZIII",
"... | [
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.25,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.25,... | 0.721484 | [
0.7256699389000804,
0.0272351079854451,
-0.022869548285291644,
0.004708964026345644,
0.037398557609580094,
0.0011061540334025113,
1.4353190273802077,
-1.3263903334190112,
1.5596105414549468,
0.5334228598867832,
1.5651355351189382,
-1.4063871324812607,
-1.560092971567714,
-1.325358461132075... | {
"n_parameters": 14,
"n_qubits": 9,
"optimal_eigenvalue": -4.083333333333333,
"target_ratio": 0.97,
"target_value": -3.960833333333333
} | 338 |
c74167a186ef9c06e73f7bbbf8de6ec0 | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [71, 85], "expectation_value": -4.999898991220705, "params": null, "bitstrings": ["0111000", "0101010"], "total_optimization_steps": 33, "probabilities": [1.6350061373198083e-05, 0.9999303724215757], "optimization_time": 23.231462240219116} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -0.5 * Z(5) + -1.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101010"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.041251712218491) q[0];
rz(0.580050011553691) q[0];
ry(0.23646985773661366) q[1];
rz(0.46970932330323645) q[1];
cx q[1], q[0];
ry(-0.044856563565926946) q[0];
rz(0.3955318483577836) q[0];
ry(0.7797338022827801) q[1];
rz(-0.08414341469060317) q[1];
ry(-0.66695651907... | 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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IZIIIIZ",
"IIIIZZI",
"IIIZZII",
"IZIIZII",
"ZIIIIZI",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"IIIIZII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-0.5,
-1,
0,
0
] | 0.971722 | [
-0.041251712218491,
0.580050011553691,
0.23646985773661366,
0.46970932330323645,
-0.666956519071666,
-0.018768719039308997,
0.024764447430296842,
0.5942090720854358,
0.04049400832053474,
0.7824465811501837,
-0.024260433111440733,
-0.3679413909186362,
0.030051998326202825,
0.091696359446894... | {
"n_parameters": 126,
"n_qubits": 9,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 65 |
b63683304276bb9759c183d77afbd99f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 9}, {"capacity": 3, "source": 1, "target": 7}, {"capac... | {"states": [339, 343], "expectation_value": -9.499631784386194, "params": null, "bitstrings": ["1010101100", "1010101000"], "total_optimization_steps": 71, "probabilities": [0.00012382437429920152, 0.9997534146404283], "optimization_time": 127.46450304985046} | -0.5 * (Z(0) @ Z(2)) + 0.75 * (Z(9) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.75 * (Z(1) @ Z(7)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(8) @ Z(2)) + -0.75 * (Z(8) @ Z(9)) + -1.0 * (Z(8) @ Z(6)) + -0.75 * (Z(8) @ Z(3)) + -0.75 * (Z(5) @ Z(9)) + -1.0 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-9.5, -9.5, -9.5, -9.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.5, "smallest_bitstrings": ["1010101100", "1010101000", "1010001000", "1110101100"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.09504320849519382) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[7];
rz(-0.027774743620237862) q[7];
cx q[2], q[7];
cx q[2], q[6];
rz(-0.09504320849519382) q[6];
cx q[2], q[6];
cx q[7], q[1];
rz(-0.... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) 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... | [
"IIIIIIIZIZ",
"ZIIIIIIIIZ",
"IIZIIIIZII",
"IIZIIIIIZI",
"IIIZIIIZII",
"IIIIIIZIZI",
"IIIZIIZIII",
"IZIIIIIZII",
"ZZIIIIIIII",
"IZIZIIIIII",
"IZIIIIZIII",
"ZIIIZIIIII",
"IIZIIZIIII",
"IIIIZZIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"ZIIIIIIIII",
"IIZIIIIIII",
"IIIIIIIIZI",
"IIIZIIIIII"... | [
-0.5,
0.75,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75,
-1,
-0.75,
-0.75,
-1,
-0.5,
-1,
-0.25,
-0.75,
1,
0.25,
-1.25,
1,
1.25,
1.25,
-1.5
] | 0.734698 | [
-0.09504320849519382,
1.5360339152938265,
-0.027774743620237862,
-0.030614796250925946,
-0.15682308254643457,
1.548215441544909,
1.5590699032758932,
-1.0872226949595853,
1.5348188669251264,
-0.592193906439294,
-1.3193684011363638
] | {
"n_parameters": 11,
"n_qubits": 10,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 280 |
b4844a241e7c75ea7eb690acd3c4c004 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [413, 245], "expectation_value": -0.6940259049967612, "params": [[0.057100000000000005, 0.053200000000000004, -0.029900000000000003], [-0.0545, -0.0505, -0.0216]], "bitstrings": ["001100010", "100001010"], "total_optimization_steps": 10, "probabilities": [0.0027816311694758714, 0.0027816311694758736], "optim... | 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) q[0];
| OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[0],... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 0}, {"id": 1}], "edges": [{"source": 2, "target": 0}, {"source": 2, "target": 1}, {"source": 0, "target": 1}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIZIIZII",
"IIIIIZIIZ",
"IIIZIZIII",
"IIIIZIIZI",
"IIIZZIIII",
"IIIIZZIII",
"ZIIIIIZII",
"ZIIZIIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIZIIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.999879 | [
-0.13358933430461783,
0.05925579854844312,
0.1941292476304146,
-0.0004540644499549003,
-0.07413458086647713,
0.10747849798655963
] | {
"n_parameters": 6,
"n_qubits": 1,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 1 |
52d445418826abb1edfe2507a27ebafb | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 20, "source": 1, "target": 5}, {"weight": 3, "source": 2, "target": 3}, {"... | {"states": [106, 110], "expectation_value": -24.05078916037951, "params": null, "bitstrings": ["10010101", "10010001"], "total_optimization_steps": 100, "probabilities": [0.12740879726852652, 0.13759641916956722], "optimization_time": 143.09328198432922} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 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)) + 4.0 * (Z(7) @ Z(5)) + 8.5 * Z(1) + 3.0 * Z(0) + 14.0 * Z(2) + 9.5 * Z(4) + 5.5 * Z(3) + 11.0 * Z(5) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 114.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-1.6828308069606857) q[0];
rz(-pi) q[0];
ry(-1.031553795512743) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.47951232566871355) q[2];
h q[3];
ry(1.5494251047186622) q[3];
cx q[3], q[0];
ry(-0.13259672277912185) q[0];
cx q[3], q[0];
rz(-pi) q[4];
ry(-0.4898624661385249) q[... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(22.4081) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
8.5,
3,
14,
9.5,
5.5,
11,
11.5,
7.5
] | 0.972207 | [
22.904847443811345,
-4.836510392042526,
-8.91936632246195,
18.086225405810733,
64.41757649799031,
-24.777570963831565,
-5.2393488668576165,
-11.415326169661288,
-0.5697063469010043,
-0.020562242613332754,
1.5494251047186622,
0.2651934455582437,
-0.44100939376492304,
0.0038150615698399892,
... | {
"n_parameters": 64,
"n_qubits": 8,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 58 |
6d259388045d20d69ae4242ad2e143d7 | 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": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [16, 9], "expectation_value": -4.193548698875964, "params": null, "bitstrings": ["01111", "10110"], "total_optimization_steps": 21, "probabilities": [0.07126123316379822, 0.8232615936107338], "optimization_time": 9.746084213256836} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 0.25 * Z(1) + 0.5 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["10110"], "largest_eigenvalue": 4.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.2266707306631195) q[0];
h q[1];
ry(1.0272541345090267) q[1];
ry(-0.5861463410328833) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.6625309996307737) q[3];
h q[4];
cx q[4], q[0];
ry(0.2266707306631195) q[0];
cx q[4], q[0];
ry(-1.161710436049223) q[0];
ry(1.320414490855... | 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]... | [
"IIZIZ",
"IZZII",
"IZIIZ",
"IIZZI",
"IZIZI",
"ZIIIZ",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
1.25,
-0.75,
-1,
-0.25,
0.5,
0.25,
0.5
] | 0.974474 | [
-0.453341461326239,
1.3204144908550612,
-1.0707147283862435,
2.0545082690180534,
0.03783762275645283,
-1.3250619992615473,
-0.18199141532595858,
-1.1961211419101938,
-0.3696846406039731,
-0.5697898662685712,
0.6076384529352682,
-0.454147025534971,
-0.17281825067926812,
-1.0626170488715485
... | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 17 |
532d7b9840f324faf47e567c6a0fdd6f | 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}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [0, 7], "expectation_value": -18.45258660320664, "params": [-0.0018000000000000002, 2.0262000000000002, 0.002, 0.0088, 0.0016, 2.1866000000000003, -0.0011, 0.006200000000000001, -0.002, 1.8311000000000002, 0.0033, 0.0068000000000000005, 0.0016, 2.218, -0.0017000000000000001, 0.0011, 0.0017000000000000001, 2.... | -2.5 * (Z(0) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(0)) + -3.0 * (Z(1) @ Z(3)) + 1.5 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(4)) + -2.5 * (Z(2) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + -1.5 * Z(3) + -2.0 * Z(0) ... | 6 | 8 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-1.5707977335680394) q[0];
ry(-0.013502097976412934) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5707977335680394) q[2];
rz(-pi) q[3];
ry(-4.219105240513308e-06) q[3];
ry(-1.4827129329316227e-05) q[4];
rz(-pi) q[4];
h q[5];
ry(0.7853975177179691) q[5];
h q[6];
h q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IIIIZIZI",
"IIIIIIZZ",
"IIIZIIZI",
"IIIIZZII",
"IIIIIZIZ",
"IIIZIZII",
"IIIIIZZI",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-2.5,
1,
-3,
-3,
1.5,
-3,
0.5,
0.5,
-2,
-2.5,
-1.5,
0.5,
-1.5,
-1.5,
-2,
1.5,
-2.5,
1,
0.5,
0.5,
0.5
] | 0.9625 | [
-1.5707977335680394,
-1.5707941200048936,
-1.5707799134645657,
-0.00001285179048671854,
0.0000018395551598433803,
1.5707950354359381,
2.4725657086000994,
1.2309349690645535,
-0.0000031724020034693597,
0.38504468633579836,
-0.3850548391687979,
0.000003773593329815815,
-0.5169980183123583,
-... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 500 |
e9c462a1bd32b66e47c042d7665c8b8c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [171, 250], "expectation_value": -0.002407921322453892, "params": [[0.0048000000000000004, -0.035, 0.0034000000000000002, 0.0027, 0.0015, 0.0068000000000000005, 0.10250000000000001, 0.0009000000000000001, -0.0482, 0.0012000000000000001], [0.0013000000000000002, 0.044500000000000005, 0.022500000000000003, 0.0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ 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)) ... | 9 | 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, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 20, "first_excited_energy": -2.125, "smallest_bitstrings": ["0011101000", "0011100010", "0011010100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3237246402573668) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.3237246402573668) q[2];
cx q[0], q[2];
h q[3];
cx q[2], q[3];
rz(-0.3237246402573668) q[3];
cx q[2], q[3];
h q[4];
cx q[2], q[4];
rz(-0.3237246402573668) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIIIZIIIZI",
"IIIIZZIIII",
"IIIIZZIIZI",
"IIIZIZIIII",
"IIZIIZIIII",
"IIZZIIIIII",
"IIZZIZIIII",
"IIIZZIIIII",
"IZIIZIIIII",
"ZIIIZIIIII",
"IZIZIIIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IZIZZIIIII"... | [
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,
0.5,
-0.25,
0,
0,
-0.5,
0,
0.125,
0.125,
0,
0.125,
-0.... | 0.758794 | [
-0.3237246402573668,
0.3064564205300012,
0.4767277367358957,
1.0302840191842209,
1.0004734609527248,
-0.8962179999409403,
0.4671267464310068,
1.0855195917621498,
1.735602026922614,
0.4821524963075305
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 270 |
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