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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2d66a63516707ef6fa08689003d445e4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capaci... | {"states": [32, 31], "expectation_value": -0.13465871822524586, "params": [[0.0688], [-0.0713]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.017944482065986842, 0.018263402901212], "optimization_time": 1.3285841941833496} | -0.25 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.75 * Z(1) + 0.25 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.045249314476118775) q[0];
ry(-0.09669560328563567) q[1];
ry(-0.03838379751098028) q[2];
ry(0.014164474914697217) q[3];
ry(1.3425228774533042) q[4];
ry(-1.5424621818592792) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IZIIZI",
"IIIZZI",
"IZZIII",
"IIZIZI",
"ZIIIIZ",
"ZIIIZI",
"ZIIZII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-0.25,
-0.5,
-0.75,
-1,
-0.5,
0.5,
-0.5,
-0.5,
0.25,
-0.25,
0.75,
0.25,
-0.5,
-0.5
] | 0.975709 | [
-0.045249314476118775,
-0.09669560328563567,
-0.03838379751098028,
0.014164474914697217,
1.3425228774533042,
-1.5424621818592792,
0.042932205280697015,
0.41990295334686945,
-0.08410675703429009,
0.011798461387283209,
-0.05732375796055354,
-0.015000365546906917,
-0.27227999211895876,
0.0942... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 97 |
44e8495c1eeae4e26ce46cf2532bece4 | 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": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 7, "source": 0, "target": 6... | {"states": [43, 41], "expectation_value": -3.0083391670327773, "params": [[0.0805], [-0.08710000000000001]], "bitstrings": ["1010100", "1010110"], "total_optimization_steps": 10, "probabilities": [0.015023891563048085, 0.015206097563973613], "optimization_time": 1.8384504318237305} | -1.25 * (Z(0) @ Z(2)) + -1.75 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -1.75 * (Z(4) @ Z(2)) + -1.75 * (Z(4) @ Z(0)) + 4.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 3.0 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-23.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["1010110"], "largest_eigenvalue": 23.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.5519503449681885) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.017208535175287056) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.1480152089961798) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.017208535175287056) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"ZIIIIIZ",
"ZIIZIII",
"IIIZIZI",
"ZIIIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
-1.25,
-1.75,
-1,
-1.75,
-1.75,
4.25,
-1.75,
-0.5,
-1.75,
-0.75,
-1,
-1.75,
-1,
-0.25,
3,
-3.5,
0.75,
4,
-3
] | 0.971147 | [
-0.5519503449681885,
0.017208535175287056,
-0.1480152089961798,
0.27545424319755374,
0.12372846103740961,
-0.38112154939511655,
-0.34473723335479495,
0.32909856397856396,
-0.11483012108538189,
0.15375169245769268,
0.2619884410144011,
-0.08643920947285949,
-0.6077504432577657,
0.41782139429... | {
"n_parameters": 52,
"n_qubits": 7,
"optimal_eigenvalue": -23.75,
"target_ratio": 0.97,
"target_value": -23.037499999999998
} | 174 |
3fb3735639c46bff7d77a855f00e5a0c | 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": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 1... | {"states": [68, 5], "expectation_value": -7.659911186378091, "params": null, "bitstrings": ["0111011", "1111010"], "total_optimization_steps": 26, "probabilities": [0.14623545328473836, 0.8524775409824853], "optimization_time": 24.805418491363525} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(6) @ Z(2)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.15656815186826128) q[0];
rz(0.15627741730544642) q[0];
rx(0.07155707979271855) q[1];
rz(0.41889354116436905) q[1];
rx(-0.036854522120223276) q[2];
rz(0.3006228164158884) q[2];
rx(-0.08168454662241761) q[3];
rz(1.026473851281004) q[3];
rx(0.8163706473005876) q[4];
r... | 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(-1.5706) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IZIIZII",
"IZIIIIZ",
"IIIIZZI",
"IZIIIZI",
"IIIZZII",
"IZIZIII",
"IIIZIZI",
"IIZIZII",
"IIZZIII",
"ZIIIZII",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"ZIIIIII"
] | [
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.25,
1.25,
-0.5,
0.5,
-0.25,
-1.25,
-0.5,
0,
1,
0.5
] | 0.973909 | [
0.15656815186826128,
0.5442420018401137,
0.07155707979271855,
0.902550613450768,
-0.036854522120223276,
0.7986190445176811,
-0.08168454662241761,
0.9231305560999041,
0.8163706473005876,
0.16616318461372137,
0.13465721119367224,
0.8447385901987526,
1.1276480729653369,
-0.17486223285907548,
... | {
"n_parameters": 56,
"n_qubits": 7,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 4 |
92e0d9744e7b0376f2c61fec7a621b77 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 4}, {"weight": 1, "... | {"states": [2713, 1689], "expectation_value": -1.512349468105256, "params": [[[3.1443000000000003, 0.0045000000000000005], [-1.4841, 0.0044], [3.1437, 0.0036000000000000003], [-2.7242, 0.006900000000000001], [3.1437, 0.0092], [0.0027, 0.0056], [3.1437, 0.0051], [-0.0023, 0.0092], [3.1443000000000003, 0.0028], [-0.0027,... | 0.25 * (Z(0) @ Z(1)) + -0.001020408163265306 * (Z(2) @ Z(0)) + -0.001020408163265306 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.000510204081632653 * (Z(4) @ Z(0)) + -0.001020408163265306 * (Z(4) @ Z(2)) + 0.000510204081632653 * (Z(5) @ Z(1)) + -0.001020408163265306 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0010204081... | 2 | 12 | 1 | {"smallest_eigenvalues": [-1.514795918367347, -1.514795918367347], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5107142857142857, "smallest_bitstrings": ["011010011001", "100101100110"], "largest_eigenvalue": 1.5158163265306126} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.5133697055041112) q[0];
h q[1];
ry(1.6084249374386541) q[1];
h q[2];
ry(1.6084249374386541) q[2];
ry(-0.053550572212937055) q[3];
rz(-pi) q[3];
ry(-0.053550572212937055) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.5133697055041112) q[0];
cx q[5], q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.001020408163265306,
-0.001020408163265306,
0.25,
0.000510204081632653,
-0.001020408163265306,
0.000510204081632653,
-0.001020408163265306,
0.25,
-0.001020408163265306,
0.0011479591836734695,
0.0007653061224489796,
-0.001020408163265306,
0.0011479591836734695,
0.00076530612244897... | 0.992524 | [
-1.5021443221766975,
1.6084249374386541,
-1.0267394110082224,
0.7506936281381614,
-0.5870557688839062,
0.4771553588124247,
-0.38953925180142007,
0.19253854567295237,
0.02981104842832527,
0.18877927704919473,
0.13517748060633164,
-0.03020286481052407,
-0.11241436734008918
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
-3000403271826312514 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 10], [8, 6], [1, 3, 5, 8, 9], [8, 4], [4, 5, 7], [0, 1, 7], [2, 4, 6], [1, 2, 3, 4, 5, 9], [3, 7], [0, 2, 5, 7, 8, 9], [1, 9, 6], [10, 4, 7], [0, 2, 3, 5, 6, 10], [6, 7], [2, 3, 4, 5, 9, 10], [0, 1, 5, 6], [2, 5, 8, 9, 10]]} | {"states": [1523, 1267], "expectation_value": -4.254641511880913, "params": [1.5807, 1.5839, 0.3541, 0.3431, 0.7668, 0.7737, 1.5784, 1.5571000000000002, 1.4968000000000001, 1.5747, 1.5906, 1.4265, 1.363, 1.5866, 0.2207, 0.22210000000000002, 0.1236, 0.1136, 1.5945, 1.4584000000000001, 1.2887, 1.2253, 0.6892, 0.7315, -0.... | 0.5 * (Z(1) @ Z(10)) + 0.05 * (Z(8) @ Z(10)) + 0.05 * (Z(8) @ Z(1)) + 0.03333333333333333 * (Z(6) @ Z(10)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(8)) + 0.06666666666666667 * (Z(3) @ Z(10)) + 0.08333333333333334 * (Z(3) @ Z(1)) + 0.05 * (Z(3) @ Z(8)) + 0.03333333333333333 * (Z(3) @ Z(6)) + 0.11666666666666667 * (Z(5) ... | 14 | 11 | 1 | {"smallest_eigenvalues": [-5.116666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.516666666666668, "smallest_bitstrings": ["01100001100"], "largest_eigenvalue": 14.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.5210135902487136) q[0];
rz(pi/2) q[0];
ry(0.1925432779832656) q[1];
ry(0.1942866910817133) q[2];
ry(1.366883756861212) q[3];
ry(1.5323198728518166) q[4];
ry(1.7654452588191138) q[5];
ry(1.241113324198561) q[6];
ry(-0.08966108123627145) q[7];
ry(0.01461052034734171... | 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": []} | [
"ZIIIIIIIIZI",
"ZIZIIIIIIII",
"IIZIIIIIIZI",
"ZIIIZIIIIII",
"IIIIZIIIIZI",
"IIZIZIIIIII",
"ZIIIIIIZIII",
"IIIIIIIZIZI",
"IIZIIIIZIII",
"IIIIZIIZIII",
"ZIIIIZIIIII",
"IIIIIZIIIZI",
"IIZIIZIIIII",
"IIIIZZIIIII",
"IIIIIZIZIII",
"ZZIIIIIIIII",
"IZIIIIIIIZI",
"IZZIIIIIIII",
"IZIIZIIII... | [
0.5,
0.05,
0.05,
0.03333333333333333,
0.25,
0.5,
0.06666666666666667,
0.08333333333333334,
0.05,
0.03333333333333333,
0.11666666666666667,
0.16666666666666669,
0.13333333333333336,
0.11666666666666667,
0.15,
0.08333333333333334,
0.25,
0.13333333333333336,
0.16666666666666666,
0... | 0.975236 | [
1.5210135902487136,
0.1925432779832656,
0.1942866910817133,
1.366883756861212,
1.5323198728518166,
1.7654452588191138,
1.241113324198561,
-0.08966108123627145,
0.014610520347341716,
1.77577817804244,
1.1406539318595856,
0.6573905127130135,
0.8793106635588043,
0.5154353414871551,
0.127745... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -5.116666666666668,
"target_ratio": 0.97,
"target_value": -4.963166666666668
} | 18 |
-8688763616674854855 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 3], [1, 4], [0, 5], [1, 2], [1, 5], [0, 1], [2, 5]]} | {"states": [43, 42], "expectation_value": -0.055225929523637404, "params": [[[1.7279, 0.0073], [1.4019000000000001, 0.0021000000000000003], [1.6941000000000002, 0.0068000000000000005], [1.3878000000000001, 0.0056], [1.7384000000000002, 0.0083], [1.5084, 0.007]]], "bitstrings": ["010100", "010101"], "total_optimization_... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["101010", "010101"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.15563661525637812) q[1];
h q[2];
ry(0.5953272858584342) q[2];
h q[3];
ry(-0.15563661525637812) q[3];
cx q[0], q[3];
ry(0.15563661525637812) q[3];
cx q[0], q[3];
ry(1.1466729946917271) q[0];
ry(-1.158774727828598) q[3];
h q[4];
h q[5];
cx q[5], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IIIIZZ",
"IZIIZI",
"ZIIIIZ",
"ZIIIZI",
"IIIZZI",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.972597 | [
-0.31127323051275624,
0.8455585253034665,
-0.9056138515109174,
-0.3687809269014091,
1.3810321676538004,
1.1906545717168684,
-0.2681113491874999,
0.6022289387765213,
-1.0864666055366723,
0.23535558198869017,
-0.5063217526353613,
0.1598767220558867,
0.1952746172060367,
-0.5426011072130803,
... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 13 |
94cf96f9661e446725dd34aa52834420 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [218, 234], "expectation_value": -95.92629015478897, "params": [[[0.6113000000000001, 0.3527, 0.003, 0.0015], [-0.0025, 0.8969, -0.0025, 0.009300000000000001], [1.2952000000000001, -0.0028, 0.0056, 0.0017000000000000001], [-0.0444, 0.0137, 1.2699, 0.0056], [-0.3942, 0.0038, 0.0077, 0.0081], [0.0517, -0.0089,... | 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(0) @ Z(4)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(2) @ Z(5)) + 7.5 * (Z(2) @ Z(4)) + 7.5 * (Z(6) @ Z(3)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(6) @ Z(4)) + 7.5 * (Z(6) @ Z(2)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(9) @ Z(8)) + 23.0 * Z(3) ... | 12 | 10 | 2 | {"smallest_eigenvalues": [-126.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -122.0, "smallest_bitstrings": ["1100010101"], "largest_eigenvalue": 246.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.019279458632864947) q[0];
rz(0.7472313700314879) q[0];
ry(-0.015624809676631383) q[1];
rz(1.091781590348796) q[1];
cz q[1], q[0];
ry(-0.07031294853065462) q[0];
rz(0.3200663023487081) q[0];
ry(-0.031249619353262762) q[1];
ry(1.3496061243855633) q[2];
rz(0.1226337... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIZIZIII",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIIZIIIZ",
"IIIIIIZZII",
"IIIIZIIZII",
"IIIIIZIZII",
"IIIZIIZIII",
"IIIZZIIIII",
"IIIZIZIIII",
"IIIZIIIZII",
"IIZZIIIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIZIIIIII"... | [
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,
23,
20,
32,
-4.5,
22,
28.5,
3,
9.5,
-3.5,
-11
] | 0.975456 | [
-0.019279458632864947,
0.7472313700314879,
-0.015624809676631383,
1.091781590348796,
1.3496061243855633,
0.12263375714250664,
0.05361604911433799,
-0.0574652580650563,
-1.189434387964984,
-0.1866230034842274,
-0.11213813098837258,
0.03877236781821329,
1.4628939549577307,
-0.313555064680735... | {
"n_parameters": 54,
"n_qubits": 10,
"optimal_eigenvalue": -126,
"target_ratio": 0.97,
"target_value": -122.22
} | 32 |
e6eaddd0655a3c19d097fc05e021d9a7 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5},... | {"states": [255, 2047], "expectation_value": -4.304470865084319, "params": [[0.0655], [-0.0684]], "bitstrings": ["11100000000", "00000000000"], "total_optimization_steps": 10, "probabilities": [0.001134972885528239, 0.0011489624464881257], "optimization_time": 8.305336236953735} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -3.5 * (Z(3) @ Z(4)) + -3.5 * (Z(7) @ Z(4)) + -3.5 * (Z(7) @ Z(3)) + -3.5 * (Z(8) @ Z(4)) + -3.0 * (Z(8) @ Z(3)) + -3.0 * (Z(8) @ Z(7)) + 1.5 * (Z(9) @ Z(4)) + -3.5 * (Z(9) @ Z(3)) + 1.5 * (Z(9) @ Z(7)) + -3.5 * (Z(9) @ Z(8)) + -3.5 * (Z(10) @ Z(4)) + ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-42.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -41.5, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 39.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.2738665221523933) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.1561610387358023) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.15616103873580256) q[1];
rx(-1.0417794599269499) q[1];
rz(-0.4333112432697789) q[2];
cx q[0], q[2];
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;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIZZIII",
"IIIZIIZIIII",
"IIIZIIIZIII",
"IIZIIIZIIII",
"IIZIIIIZIII",
"IIZZIIIIIII",
"IZIIIIZIIII",
"IZIIIIIZIII",
"IZIZIIIIIII",
"IZZIIIIIIII",
"ZIIIIIZIIII",
"ZIIIIIIZIII",
"ZIIZIIIIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIZIZII... | [
-1.5,
0.5,
-2,
-3.5,
-3.5,
-3.5,
-3.5,
-3,
-3,
1.5,
-3.5,
1.5,
-3.5,
-3.5,
-3,
1,
1.5,
-3,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-3,
1,
-3,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.531832 | [
-1.2738665221523933,
-0.1561610387358023,
-0.4333112432697789,
-0.5568288592345711,
-0.5586353001674248,
-0.3713511049284485,
-0.317348213299377,
-1.1557664342649674,
-1.0417794599269499
] | {
"n_parameters": 9,
"n_qubits": 11,
"optimal_eigenvalue": -42.5,
"target_ratio": 0.97,
"target_value": -41.225
} | 259 |
8e4b273e62e3bdbcb042f56fe9c0bd31 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [11, 22], "expectation_value": -0.3176132228941537, "params": [[0.0732, 0.0685], [-0.08310000000000001, -0.0779]], "bitstrings": ["110100", "101001"], "total_optimization_steps": 10, "probabilities": [0.02118786469411497, 0.02118786469411497], "optimization_time": 2.205077886581421} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["101001", "110100", "101100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.003570858544960076) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(0.003570858544960076) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz(0.003570858544960076) q[1];
cx q[1], q[0];
rz(-0.11726358043627519) q[0];
cx q[1], q[0];
cx q[2], q[1];
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;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"ZIIIIZ",
"IZIIIZ",
"IIIZZI",
"ZIZIII",
"IIZZII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IZIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
0,
-0.5,
-0.5
] | 0.762533 | [
0.003570858544960076,
-0.11726358043627519,
-0.6462594328548128,
1.611929135236777,
0.6371699566376291,
0.9513101502862553,
0.03572501092869963,
0.07116209703665359,
-1.4784117063539257,
-0.06107024763807288,
0.8005656144892781,
0.538238114406948
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 320 |
9325960b1637dc394e7dc9dd3fcbad13 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "... | {"states": [3456, 4083], "expectation_value": -8.907303326590611, "params": [0.18430000000000002, 0.16840000000000002, -0.7116, 0.21330000000000002, -0.22210000000000002, 1.4293, -0.738, 0.8183, 0.3961, 1.3054000000000001, -0.0952, 0.8007000000000001, 0.5692, 0.7818, 0.8347, -0.7592, 0.7704000000000001, 0.877, 0.8424, ... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(10) @ Z(11)) + -1.5 * (Z(2) @ Z(11)) + -1.5 * (Z(2) @ Z(10)) + -1.0 * (Z(3) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(7) + 1.0 * Z(9) + -1.0 * Z(8) + 0.5 * Z(11) + 0.5 ... | 6 | 12 | 2 | {"smallest_eigenvalues": [-15.5, -15.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.5, "smallest_bitstrings": ["000000000000", "000000001100"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.13481449337706808) q[0];
ry(-0.09125046950375937) q[1];
ry(-0.028463240667156955) q[2];
ry(-0.2048977980645706) q[3];
ry(0.0658760941561959) q[4];
ry(-0.027593696410604884) q[5];
ry(-0.028463240667156955) q[6];
ry(0.05504733802035046) q[7];
ry(-0.1964499520548427... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIZZIIIII",
"IIIIZZIIIIII",
"IIIIZIZIIIII",
"IIZZIIIIIIII",
"ZZIIIIIIIIII",
"ZIIIIIIIIZII",
"IZIIIIIIIZII",
"IIIIIIIZZIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIZIIIIII",
"IIIIIIZIIIII",
"IIIIZIIIIIII",
"IIZIIIIIIIII",
"IIIZIIIIIIII",
"ZIIIIIIIIIII",
"IZIIIIIII... | [
-1,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.972216 | [
-0.13481449337706808,
-0.09125046950375937,
-0.028463240667156955,
-0.2048977980645706,
0.0658760941561959,
-0.027593696410604884,
0.05504733802035046,
-0.19644995205484272,
-0.0867611013453599,
-0.05203035528621828,
0.1347042266019476,
3.1559381331732026,
-0.005532604559321544,
0.08259236... | {
"n_parameters": 18,
"n_qubits": 12,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 35 |
1f15db56645aa784f47efc16e5301c8d | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [126, 1], "expectation_value": -0.9040957223796178, "params": [[-0.0521], [0.059300000000000005]], "bitstrings": ["0000001", "1111110"], "total_optimization_steps": 10, "probabilities": [0.010802513129654336, 0.011366433846833723], "optimization_time": 1.9803507328033447} | -1.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -1.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(1)) + -1.75 * (Z(5) @ Z(1)) + -2.75 * (Z(5) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(5)) + 1.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + 0.0 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + -1.0 * Z(2) + 1.5 * Z(5... | 1 | 7 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.14465096475206188) q[0];
rz(0.4273591883110469) q[0];
rx(0.15828442435891127) q[1];
rz(-0.08961878454051071) q[1];
rx(0.026785558305668006) q[2];
rz(-0.18435202575239976) q[2];
rx(0.056047368725162076) q[3];
rz(-0.007867807388838188) q[3];
rx(0.026785558305668006)... | 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... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IIZIIZI",
"IIZIZII",
"IIIIZZI",
"IZIIIZI",
"IZIIZII",
"IIZZIII",
"IIIZZII",
"IZIZIII",
"ZIIIIIZ",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"IIIZIII",
"ZIIIIII"
] | [
-1.5,
-0.5,
-1.5,
-1.25,
-1.75,
-2.75,
-2.5,
-1.5,
-2,
1.75,
-0.5,
0,
-0.25,
1,
-1,
1.5,
-2.5,
1.25
] | 0.971407 | [
-0.14465096475206188,
0.4273591883110469,
0.15828442435891127,
-0.08961878454051071,
0.026785558305668006,
-0.18435202575239976,
0.056047368725162076,
-0.007867807388838188,
0.4253360608059712,
-0.05073043935803761,
-0.21849464254370934,
2.5289511101625592,
0.0059515070340149245
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 6 |
30e28b56cad01a233ddf0894e9b7eaa8 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [13, 50], "expectation_value": -0.49406492487631554, "params": [[-0.0298, -0.0678, -0.0524], [-0.0068000000000000005, 0.0646, 0.06520000000000001]], "bitstrings": ["110010", "001101"], "total_optimization_steps": 10, "probabilities": [0.023726608151088194, 0.0237266081510882], "optimization_time": 3.33467221... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(1) + -0.5 * Z(5) + -1.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110010", "001101"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0007807485922482725) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0007807485922482725) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.0007807485922482725) q[3];
cx q[0], q[3];
rz(1.5622291020438395) q[0];
rx(1.4230915336570904) ... | 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"IIIZZI",
"IIZIZI",
"ZIIIZI",
"IZIZII",
"IZZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-0.5,
-1
] | 0.972429 | [
0.0007807485922482725,
-1.3071662634992012,
1.5622291020438395,
-1.2862359945840747,
-1.0589387496736589,
0.9999795518288292,
-1.3272444682674918,
-1.4806765325928763,
1.2864952173532251,
1.4230915336570904,
0.5883822012299551,
1.5647805208249972,
0.48419941054809135,
1.7953393898312842,
... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 47 |
5453c2513a3015ff34fdf7af0c17d479 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [56, 7], "expectation_value": -5.235334094890259, "params": [[0.0067, 0.06380000000000001, 0.0339], [-0.012, -0.061900000000000004, -0.053000000000000005]], "bitstrings": ["1000111", "1111000"], "total_optimization_steps": 10, "probabilities": [0.015367326580882608, 0.016169018866364352], "optimization_time"... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 9 | 7 | 3 | {"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];
h q[1];
cx q[1], q[0];
rz(-0.006822705804027614) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.006822705804027614) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.006822705804027614) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.006822705804027614) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
-3.25,
-3.75,
-3.25,
-3.25,
-3,
-3,
-3
] | 0.979266 | [
-0.006822705804027614,
-0.0569835674757276,
1.6413660952290756,
1.6445943010417547,
-1.210190329393257,
1.272917394365843,
0.13825878583450213,
0.06605299930301477,
-0.18109136526066744,
-0.3332332317372449,
-1.3079642609617461,
0.48354866790017953,
-0.3444589912231889,
0.9797977022594652,... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 96 |
902d1b67930e0629acecd09204caf4e9 | 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": 6, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [89, 95], "expectation_value": -10.259671956045993, "params": null, "bitstrings": ["10100110", "10100000"], "total_optimization_steps": 78, "probabilities": [0.12501699519549195, 0.8278427170880167], "optimization_time": 111.40426182746887} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.5 * (Z(7) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -1.75 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.25 * Z(1) + -0.25 * Z(0) + -2.5 * Z(2... | 1 | 8 | 2 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["10100000"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.0002406203259945633) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.0002406203259945633) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[7];
rz(0.002239755713033603) q[7];
cx q[1], q[7];
cx q[0], q[7];
cx q... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.2796) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIIZZII",
"ZIIIZIII",
"IIZIIIZI",
"IIZIIZII",
"IZIIIIZI",
"IZZIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"ZIIIIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"IIIZIIII"
] | [
-0.25,
-0.25,
-1.5,
0.75,
-1,
-0.5,
-0.75,
-1.5,
-1.75,
-0.5,
-1.75,
-0.5,
0.25,
-0.25,
-2.5,
-1.5,
1.25,
4,
-1.75,
0.5
] | 0.77774 | [
-0.0002406203259945633,
0.002239755713033603,
-1.5620315308743886,
0.00020706909952766735,
0.029331636032040385,
0.0007288211898819608,
0.11520209218064827,
1.5694007098049831,
-1.4370331811755714,
1.56923526210303,
1.5524995235409658,
1.5661269392947803,
-1.7487633370776487
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 357 |
8986873892930257941 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 5], [1, 3], [2, 3, 7], [0, 1, 2, 4, 6, 7]]} | {"states": [109, 225], "expectation_value": -0.02972814065686443, "params": [[0.07640000000000001], [-0.0806]], "bitstrings": ["10010010", "00011110"], "total_optimization_steps": 10, "probabilities": [0.004121042689257882, 0.004121084112145962], "optimization_time": 2.8737101554870605} | 0.19999999999999998 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.03333333333333333 * (Z(7) @ Z(1)) + 0.03333333333333333 * (Z(7) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.3666666666666667, -1.3666666666666667, -1.3666666666666667], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.3666666666666663, "smallest_bitstrings": ["10011000", "10010010", "00011110"], "largest_eigenvalue": 3.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.5570022420189508) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(0.22036633836634853) q[5];
cx q[1], q[5];
cx q[0], q[5];
cx q[1], q[3];
rz(1.3447367099229068) q[3];
cx q[1], q[3];
cx q[1], q[2];
rz(-0.03116262... | 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[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[5]... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIIIZIZI",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZZII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIIIZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"ZIIZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"ZZIIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIII... | [
0.19999999999999998,
0.16666666666666666,
0.16666666666666666,
0.5,
0.03333333333333333,
0.03333333333333333,
0.16666666666666666,
0.03333333333333333,
0.03333333333333333,
0.16666666666666666,
0.19999999999999998,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333... | 0.633255 | [
0.5570022420189508,
0.22036633836634853,
1.3447367099229068,
-0.031162623862315993,
0.4526468207111186,
1.6545490700171632,
-0.8183740964811825
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -1.3666666666666667,
"target_ratio": 0.97,
"target_value": -1.3256666666666665
} | 193 |
01c79553cd838cd252f6e60dedff49e5 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 3, "source": 2, ... | {"states": [101, 127], "expectation_value": -8.40099804545785, "params": null, "bitstrings": ["10011010", "10000000"], "total_optimization_steps": 81, "probabilities": [0.13187941624328978, 0.7638268127257326], "optimization_time": 121.93324017524719} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -2.0 * (Z(3) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.0845213497005627) q[0];
rz(-pi) q[1];
ry(-3.0455609286004646) q[1];
h q[2];
ry(1.4919071887247282) q[2];
h q[3];
ry(0.7240132628322454) q[3];
h q[4];
ry(0.9793324905949224) q[4];
h q[5];
ry(1.5402453113042955) q[5];
h q[6];
cx q[6], q[3];
ry(-0.72401326283... | 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[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[... | [
"IIIIIZIZ",
"IIIIIZZI",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IZIIIZII",
"IZIIIIZI",
"IZIIZIII",
"IIIZIIZI",
"IZIZIIII",
"IIIZZIII",
"IIZIIZII",
"IIZIIIZI",
"IZZIIIII",
"IIZZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"ZIIIIIII",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII",
"IIZIIII... | [
-0.25,
-0.5,
-0.75,
0.5,
-0.5,
-0.75,
-0.5,
-2,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-1,
0.5,
-0.25,
-0.25,
-0.75,
-1.25,
0.5,
-0.75,
2.25
] | 0.977783 | [
1.5402453113042955,
1.4480265256644909,
-0.6838943024593398,
1.4919071887247282,
1.6837402841554543,
1.958664981189845,
-1.8541117649949548,
1.9567893576185749,
2.1258717747278064,
-0.1690426994011254,
3.770151024236896,
-0.7583358906758061,
-0.4200762250226027,
1.8848100973159259,
-1.08... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 81 |
c5d2a0621e9dcecb65eadc5509d4551e | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 6... | {"states": [1918, 1916], "expectation_value": -13.533454476532444, "params": [[[0.6448, 0.1457, 0.001, 0.0063], [-0.42810000000000004, -0.025, 0.5625, 0.0679], [0.5847, 0.025500000000000002, 0.5700000000000001, -0.058], [-0.0053, -0.6902, -0.0008, -1.1543], [-0.10930000000000001, -0.0066, 0.11380000000000001, -0.2205],... | -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + 1.0 * (Z(3) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(7)) + -0.5... | 11 | 13 | 4 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -13.0, "smallest_bitstrings": ["1100110100001", "1100001000101", "1000100100001", "1100110010001", "1100101010001", "1000100010001", "1100010000011... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(-0.08743649769424137) q[0];
rz(-1.4403708797533135) q[0];
rx(0.09393894887712548) q[1];
rz(0.5913182157078832) q[1];
rx(1.4078405758086183) q[2];
rz(0.1407318460299953) q[2];
rx(1.590037714848199) q[3];
rz(0.10840208344072243) q[3];
rx(0.18964145807910252) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZI",
"IIIIIIZIIIIZI",
"IIIIIIZZIIIII",
"IIIIIIIIIIZZI",
"IIIIIIIZIIZII",
"IIIIIIZIIIZII",
"IIIIIIIIIZIZI",
"IIIIIIIZIZIII",
"IIIIIIZIIZIII",
"IIIIIIIIIZZII",
"IIIIIZIIIIIZI",
"IIIIIZIZIIIII",
"IIIIIZZIIIIII",
"IIIIIZIIZIIII",
"IIIIZIIIIIIZI",
"IIIIZIIZIIIII",
"IIIIZIZIIII... | [
-1,
-1,
1,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
1,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
1,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,... | 0.97291 | [
-0.0874364976942414,
-0.7782836179307168,
0.09393894887712548,
0.5913182157078832,
1.4078405758086183,
0.1407318460299953,
1.590037714848199,
0.10840208344072243,
0.18964145807910252,
0.07730924175294455,
-0.0250481159919958,
0.7670952990780986,
1.5475571454171502,
0.28663197303578225,
0... | {
"n_parameters": 70,
"n_qubits": 13,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 10 |
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": -6.150286094957454, "params": [0.0137, -0.8829, -0.013000000000000001, 0.9096000000000001, 0.0033, 1.0011, -0.39730000000000004, 1.5075, 0.6591, 0.5825, 1.081, -0.1834, 0.0017000000000000001, -1.0786, -0.0187, 0.7138, 0.1053, 1.2636, 0.045200000000000004, 0.9283, 0.6101, 1.4611,... | -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 | 4 | {"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] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"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 |
a1c773c0b570f64d3c3d3a505084c546 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 3... | {"states": [32, 33], "expectation_value": -9.30455458162997, "params": [0.0014, 0.23670000000000002, 0.4868, 0.0023, -0.0016, 0.37570000000000003, -0.0001, 0.2922, 0.0001, 0.27490000000000003, -0.0011, 0.30910000000000004, -0.48360000000000003, 0.0026000000000000003, 0.0006000000000000001, 0.21280000000000002, 0.485500... | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(1) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(5) @ Z(3)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(6) + 2.5 *... | 3 | 7 | 4 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1011110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5874017135860925) q[0];
h q[1];
ry(1.608914631976602) q[1];
h q[2];
ry(-1.5874017135860925) q[2];
h q[3];
ry(-1.5874017135860925) q[3];
h q[4];
ry(-1.5874017135860925) q[4];
ry(-0.05125907922144988) q[5];
rz(-pi) q[5];
h q[6];
ry(0.7820613171932738) q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIZII",
"IIZIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"IIZIIZI",
"ZIIIIZI",
"IIIZZII",
"IIZZIII",
"IIIZIZI",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IZIIIII"
] | [
-0.75,
-0.25,
-0.5,
-0.25,
1.5,
-0.25,
-1.25,
-1.5,
-1.75,
-1,
-1,
0.75,
-0.25,
-0.25,
0,
2.5,
-1.75,
-1
] | 0.99923 | [
1.608914631976602,
1.5641226343865475,
-1.5874017135860925,
-1.5438637253244718,
0.04865295550204985
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 1 |
61fc58e7ea5c0b858181cef6a00713e4 | 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": 4, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 6}, {"weight": 6, "source": 2, "target": 3}, {"weight": 13, "source": 2, "targ... | {"states": [249, 188], "expectation_value": -29.76401815418995, "params": null, "bitstrings": ["100000110", "101000011"], "total_optimization_steps": 100, "probabilities": [0.10854950291818022, 0.1832553262641075], "optimization_time": 173.6086401939392} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 9.0 * Z(1) +... | 1 | 9 | 1 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["101000011"], "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(0.02185145395977517) q[0];
cx q[1], q[0];
rz(-0.5588018792017229) q[0];
rx(-0.27985469452490175) q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.02185145395977517) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(0.02185145395977517) q[4];
cx 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(0.1215) 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",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIZIIIZII",
"IIZIZIIII",
"IIIZIZIII",
"IIIZIIZII",
"IIZZIIIII",
"IZIIIZIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
9,
-2.5,
15.5,
12,
18.5,
15,
17,
0.5,
6
] | 0.975691 | [
0.02185145395977517,
1.4317424449049956,
-0.5588018792017233,
1.5603082420547552,
0.19242374383339958,
1.3485735240723389,
1.011065840572277,
1.498856394896067,
-1.3092618702660563,
-0.32745955943144156,
-0.2798546945249017,
0.11900811374185843,
0.3243858040133379,
-0.6130932728853596,
0... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -86,
"target_ratio": 0.97,
"target_value": -83.42
} | 53 |
598a895484db1dd124dda8633fc7a99c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [57, 121], "expectation_value": -3.984922711475237, "params": [-0.0111, 0.2088, -0.0137, 0.2109, 0.2617, 0.0718, 0.2615, 0.0267, 0.3996, 0.0012000000000000001, 0.4006, -0.0029000000000000002, 0.39780000000000004, 0.0036000000000000003, 0.4062, 0.0013000000000000002, 0.39980000000000004, 0.0, 0.4032, 0.003100... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.0 * Z(3) + -0.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(6) + 0.0 * Z(2) + 0.0 * Z(7) | 7 | 8 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["10000110"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(0.029682493265214625) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.029682493265214625) q[1];
cx q[0], q[1];
rz(1.5705612127381334) q[0];
rx(1.5769581474958607) q[0];
cx q[2], q[1];
rz(0.029682493265214625) q[1];
cx q[2], q[1];
h q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIZIIIZI",
"IIZZIIII",
"IZIIIIZI",
"IIZIIZII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIZII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0,
-0.5,
-1,
-0.5,
0,
0
] | 0.927327 | [
0.029682493265214625,
1.5705612127381332,
-1.5703481182591699,
-1.5706046945448842,
-1.571207379658283,
-1.570506269198802,
1.5706316520383239,
1.5769581474958605
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -61,
"target_ratio": 0.97,
"target_value": -59.17
} | 203 |
4286d838a0864c608421aefd7c0a8694 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, ... | {"states": [3, 1], "expectation_value": -2.605324780112483, "params": [[0.0626, 0.0582], [-0.060200000000000004, -0.0572]], "bitstrings": ["11111100", "11111110"], "total_optimization_steps": 10, "probabilities": [0.00946830514769875, 0.009849924320260063], "optimization_time": 3.234785556793213} | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + 4.25 * (Z(7) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -2.25 * Z(1) + -0... | 1 | 8 | 2 | {"smallest_eigenvalues": [-22.25, -22.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -21.25, "smallest_bitstrings": ["11111110", "11111100"], "largest_eigenvalue": 19.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.9045870181296413) q[0];
ry(-0.2170474160110289) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5470769059317142) q[2];
rz(-pi) q[3];
ry(-0.2843983056732562) q[3];
rz(-pi) q[4];
ry(-0.2265876657411871) q[4];
h q[5];
h q[6];
h q[7];
ry(1.5286010451067176) q[7];
cx 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZZIII",
"ZIIIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-1,
-1.25,
-1,
-0.75,
-1,
-0.5,
-1,
-0.5,
4.25,
-0.25,
-1,
-0.75,
-0.5,
-2.25,
-0.25,
-0.5,
-2.25,
-1,
4.25,
0.75,
1.25
] | 0.974008 | [
1.5286010451067176,
-1.8091740362592825,
-1.9895281018553466,
-1.4053738037883465,
0.39796311717390886,
-0.00019440015801999722,
-0.21779767655905893,
-1.5470769059317142,
-0.42085430085678377,
0.1517805527427289,
0.10324978600895736,
-0.3105191432550561,
0.18150412591190185,
-1.0315729899... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -22.25,
"target_ratio": 0.97,
"target_value": -21.5825
} | 26 |
43783f0d102db45430e0e9cc0abd5421 | 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": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 1, "s... | {"states": [1, 5], "expectation_value": -13.749999999754339, "params": null, "bitstrings": ["111111110", "111111010"], "total_optimization_steps": 28, "probabilities": [0.499999999985678, 0.499999999985678], "optimization_time": 27.94186282157898} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.75 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(3)) + -1.25 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(6) @ Z(3)) + 2.25 * (Z(8)... | 1 | 9 | 2 | {"smallest_eigenvalues": [-13.75, -13.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.75, "smallest_bitstrings": ["111111010", "111111110"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.01638956768340378) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.01638956768340378) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.009183088842077993) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[7];
rz(0.009... | 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(1.5708) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIIZII",
"IIIIIZIZI",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IIIIZIZII",
"IIIIZZIII",
"IIZIIZIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IZIIIIIII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
-0.25,
-0.25,
-0.75,
-0.75,
-1,
-0.75,
-0.5,
-0.25,
-0.5,
-0.25,
-1.25,
-1,
-0.25,
2.25,
-0.25,
0,
-0.25,
0.5,
-1,
-1,
0,
-0.25,
0,
2
] | 0.920668 | [
-0.01638956768340378,
0.009183088842077993,
-1.3795631206568821,
-0.00832950686798114,
-0.0024951873495025227,
0.00006676734680895714,
-0.8270233776435318,
-0.2649680470264135,
0.23459580270785552,
-1.490733499004103,
-0.10223196334459035,
-0.028685010435969098,
-1.5457011817943502,
-0.035... | {
"n_parameters": 19,
"n_qubits": 9,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 500 |
7f226d208153dcfb632077c65c1f90bf | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 6}, {"source": 3, "target": 7},... | {"states": [0, 1987], "expectation_value": -14.271724628963533, "params": [-0.42050000000000004, 0.5964, 0.0258, 0.7983, -0.4701, 1.0171000000000001, 0.3917, 0.9046000000000001, -0.4697, 1.0691000000000002, -0.1973, 1.0708, -0.4743, 1.3307, 0.437, 1.0849, -0.46340000000000003, 1.3069000000000002, 0.4186, 1.242900000000... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(0)) + -2.5 * (Z(7) @ Z(8)) + -2.5 * (Z(5) @ Z(8)) + 1.0 * (Z(5) @ Z(7)) + 1.0 * (Z(6) @ Z(8)) + -2.5 * (Z(6) @ Z(7)) + -2.0 * (Z(6) @ Z(5)) + -1.5 * (Z(9) @ Z(2)) + -2.0 * (Z(10) @ Z(2)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(10)) + ... | 6 | 11 | 2 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["00000111100"], "largest_eigenvalue": 21.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.1342171824925862) q[0];
rz(2.0942427452686783) q[0];
rx(0.29543093206360016) q[1];
rz(0.9781141379179479) q[1];
rx(0.8491535880238071) q[2];
rz(-2.6641097231534197) q[2];
rx(-0.16142880578884908) q[3];
rz(2.46801461687833) q[3];
rx(-0.6800787280262504) q[4];
rz(2.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x11;
input float[64] x12;
input float[64] x13;
inpu... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIZZIIIIIII",
"IIZIIZIIIII",
"IIIZIZIIIII",
"IIZIZIIIIII",
"IIIZZIIIIII",
"IIIIZZIIIII",
"IZIIIIIIZII",
"ZIIIIIIIZII",
"ZZIIIIIIIII",
"IIIIIIIZZII",
"ZIIIIIIZIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIZIIIIIIII",
"IIIZIIIII... | [
-1.5,
0.5,
-1.5,
-2.5,
-2.5,
1,
1,
-2.5,
-2,
-1.5,
-2,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
1,
1,
0.5,
0.5,
0.5,
0.5
] | 0.943505 | [
0.13421718249258618,
0.5234464184737817,
0.29543093206360016,
-0.5926821888769487,
0.8491535880238072,
2.0482792572312705,
-0.1614288057888491,
0.8972182900834331,
-0.6800787280262502,
0.8621878928152058,
-0.03794492075220762,
1.2037165229923057,
0.04997363028017292,
-0.5122815041833169,
... | {
"n_parameters": 211,
"n_qubits": 11,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 500 |
01a8e5f0e4da72adfede252ce1ffa4f0 | 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": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 2, "s... | {"states": [129, 1], "expectation_value": -0.019273571581616897, "params": [[0.0128], [-0.0196]], "bitstrings": ["101111110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.001983545909716215, 0.0019855041310855234], "optimization_time": 2.5044705867767334} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(0)) + 1.0 * (Z(8) @ Z(0)) + -0.75 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(2)) + -0.5 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(3... | 1 | 9 | 1 | {"smallest_eigenvalues": [-8.75, -8.75, -8.75, -8.75, -8.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -7.75, "smallest_bitstrings": ["100001000", "111111110", "101111110", "101111010", "111111010"], "largest_eigenvalue": 9.25} | 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[0];
rz(-0.0003043401445231292) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(-0.0003043401445231292) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[2];
rz(-1.5554266052084793) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(-1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IIIZZIIII",
"IIIZIIIIZ",
"ZIIIIIIIZ",
"IIIIZIZII",
"IIIZIIZII",
"IIIIIIZZI",
"IIIIZZIII",
"IIIZIZIII",
"IIIIIZZII",
"IZIZIIIII",
"ZZIIIIIII",
"IZIIIIZII",
"IZIIIZIII",
"IIZIZIIII",
"IIZIIIZII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIZIIIII",
"ZIIIIIIII",
"IIIIIIZII",
"... | [
-0.5,
-0.5,
-0.25,
1,
-0.75,
-0.5,
-0.5,
-0.75,
-0.5,
-1,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-2.25,
0.5,
-0.5,
0.5,
1.25,
0.25,
0.75
] | 0.788024 | [
-0.0003043401445231292,
-0.19125521550259847,
0.012446267535906427,
-1.5554266052084793,
-1.5560670679201591,
-1.5704086325376356,
1.5706897146604286,
0.00014726774714460966,
1.5624061642404066,
1.56802099486594,
-1.5567778854571377
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 353 |
b575860502e0560613ed09a59a899ee7 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [129, 193], "expectation_value": -13.276703877218846, "params": [-0.0026000000000000003, 1.1112, 1.5572000000000001, 0.004, -0.8479, -0.0082, -0.0027, 1.2185000000000001, -0.008400000000000001, 0.1826, -0.0024000000000000002, 0.5216000000000001, -0.0027, 1.2533, -0.0021000000000000003, 1.2108, 1.563200000000... | -0.75 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(8) @ Z(2)) + 2.25 * (Z(8) @ Z(0)) + -1.25 * (Z(8) @ Z(1)) + -1.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(6)) + -0.25 * (Z(4) ... | 4 | 9 | 2 | {"smallest_eigenvalues": [-13.75, -13.75, -13.75, -13.75, -13.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -12.75, "smallest_bitstrings": ["100101000", "100100000", "100101100", "100101110", "100111110"], "largest_eigenvalue": 14.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.6747571563390294) q[0];
h q[1];
ry(1.5707963238176894) q[1];
h q[2];
ry(0.7853981619088447) q[2];
cx q[1], q[2];
ry(-0.7853981619088447) q[2];
cx q[1], q[2];
h q[3];
ry(-1.3495143126780589) q[3];
h q[4];
ry(0.5128520253092295) q[4];
ry(-0.1436995236604681)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIZIZIII",
"IIIZIIIZI",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"IZIIIZIII",
"IZZIIIIII",
"IZIIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIIZIIIII",
"ZIIIIIIII",
"IIZIIIIII",
"... | [
-0.75,
-1.25,
-1,
-0.5,
-0.25,
-1,
2.25,
-1.25,
-1.5,
-0.25,
-0.75,
-0.5,
-0.75,
-0.25,
0.75,
-0.25,
-2.5,
2.5,
-0.5,
0,
-1.25,
1,
0.25
] | 0.944693 | [
1.5707963238176894,
-1.3495143126780589,
1.1712080563313636,
-0.1669381602266709,
0.37137860651958127,
-1.2833972152299074,
-1.646619630057409,
-0.47114339462441057,
0.028209621441536343,
1.025704050618459,
3.195662669943168e-8,
-0.25795750505028736,
0.5157535956890039,
8.828875549406355e-... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 407 |
aba1bd0490555356df462887ed55ae68 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [946, 690], "expectation_value": -1.9533877552851462, "params": [[[0.9071, -0.001], [0.6906, 0.0932], [0.9046000000000001, 0.0], [-0.0024000000000000002, 0.6624], [0.8985000000000001, -0.001], [0.8972, -0.0017000000000000001], [-0.0027, 0.5251], [-0.0023, 0.6325000000000001], [0.8947, 0.0002], [0.4611, -0.22... | 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)) + 0.03125 * (Z(0) @ Z(3)) + 0.03125 * (Z(4) @ Z(0)) + 0.03125 * (Z(0) @ Z(5)) + 0.03125 * (Z(0) @ Z(6)) + 0.03125 * (Z(0) @ Z(7)) + 0.03125 * (Z(4) @ Z(3)) + 0.03125 * (Z(5) @ Z(3)) + 0.03125 * (Z(3) @ Z(6)) + 0.03125 * (Z... | 1 | 10 | 2 | {"smallest_eigenvalues": [-4.28125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.28125, "smallest_bitstrings": ["0101001101"], "largest_eigenvalue": 6.71875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.16097558906120518) q[0];
rz(-0.3882081880496635) q[0];
rx(0.8308200587921581) q[1];
rz(-0.10811032912299412) q[1];
rx(-0.04776576243992997) q[2];
rz(0.3764645387441199) q[2];
rx(0.7257629908626431) q[3];
rz(-0.012914102564212104) q[3];
rx(0.8103625676281699) 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": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIZIIZIII",
"IIZIIIZIII",
"IIIIZZIIII",
"IIIZIZIIII",
"IIZIIZIIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IIIIIZZIIZ"... | [
0.25,
0.25,
0.25,
-0.25,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
... | 0.971553 | [
-0.16097558906120518,
-0.4046351791206107,
0.830820058792158,
0.05338795809098237,
-0.04776576243992997,
0.3369651978559837,
0.7257629908626431,
-0.07888825176439947,
0.8103625676281699,
-0.11788029644897588,
0.8021836343430493,
0.1199196074239283,
0.8176685948019465,
-0.08200274719195605,... | {
"n_parameters": 85,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 25 |
29e20e1b5f946c33b32370f6ba5b02af | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 2, "source": ... | {"states": [272, 256], "expectation_value": -13.37959965627434, "params": [-0.0371, 0.0014, 0.07060000000000001, 0.0028, 0.0029000000000000002, 0.5306000000000001, 0.0031000000000000003, 0.0058000000000000005, 0.0019, 0.6059, 0.0019, 0.0002, 0.8039000000000001, 0.0015, 0.8065, 0.009300000000000001, 0.002900000000000000... | -0.5 * (Z(0) @ Z(5)) + -0.25 * (Z(10) @ Z(5)) + -0.25 * (Z(10) @ Z(0)) + -0.5 * (Z(11) @ Z(5)) + -0.5 * (Z(11) @ Z(0)) + -0.25 * (Z(11) @ Z(10)) + -0.5 * (Z(1) @ Z(5)) + -0.25 * (Z(1) @ Z(10)) + -0.25 * (Z(1) @ Z(11)) + -0.75 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(10)) + -0.75 * (Z(6) @ Z(11)) + -0.75 * (Z(6) @ Z(1)) + -0.... | 6 | 12 | 1 | {"smallest_eigenvalues": [-13.75, -13.75, -13.75, -13.75, -13.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -12.75, "smallest_bitstrings": ["100000000000", "111011101011", "111011101111", "111011111011", "111011111111"], "largest_eigenvalue": 15.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.21339719581214925) q[0];
rz(pi/2) q[0];
ry(0.16112701788019781) q[1];
ry(-0.1741930176279861) q[2];
ry(0.3185327243754466) q[3];
ry(0.04309262364825121) q[4];
ry(0.02866007162598696) q[5];
ry(-0.009254302915217024) q[6];
ry(0.37720427191283173) q[7];
ry(-0.0486838... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIZ",
"IZIIIIZIIIII",
"IZIIIIIIIIIZ",
"ZIIIIIZIIIII",
"ZIIIIIIIIIIZ",
"ZZIIIIIIIIII",
"IIIIIIZIIIZI",
"IZIIIIIIIIZI",
"ZIIIIIIIIIZI",
"IIIIIZZIIIII",
"IZIIIZIIIIII",
"ZIIIIZIIIIII",
"IIIIIZIIIIZI",
"IIIZIIZIIIII",
"IZIZIIIIIIII",
"ZIIZIIIIIIII",
"IIIZIIIIIIZI",
"IIIIIIIIZ... | [
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.75,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
-0.5,
-0.5,
1.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-1.25,
-0.25,
-1.25,
-0.... | 0.972235 | [
0.21339719581214925,
0.16112701788019781,
-0.1741930176279861,
0.3185327243754466,
0.04309262364825121,
0.02866007162598696,
-0.009254302915217024,
0.37720427191283173,
-0.048683864270376215,
0.08154015711331503,
0.09656654578099143,
-0.023913394771946705,
0.2542650498573426,
0.13613566952... | {
"n_parameters": 121,
"n_qubits": 12,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 1 |
-3145301099851918303 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[5, 7], [2, 7], [1, 3], [0, 5], [3, 4], [0, 6], [8, 6], [9, 2], [10, 3]]} | {"states": [1103, 1095], "expectation_value": -0.009939487981645845, "params": [1.6026, 0.008700000000000001, 1.5465, 0.0059, 1.5471000000000001, 0.0031000000000000003, 1.4856, 0.0098, 1.6041, 0.0049, 1.5356, 0.009000000000000001, 1.5101, 0.009000000000000001, 1.5693000000000001, 0.0039000000000000003, 1.63350000000000... | 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(10) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.0 * Z(8) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(7) + 0.0 * Z(9) + 0.0 ... | 16 | 11 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["01110111000", "10001000111", "00011011000", "11100100111"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-3.0122990727144185) q[0];
rz(-0.668287755403453) q[0];
rx(2.8786391192163325) q[1];
rz(-1.3758693420247217) q[1];
cx q[1], q[0];
rz(1.0248224242197894) q[0];
cx q[1], q[0];
rz(-0.783260934009513) q[1];
rx(-2.969544038411735) q[2];
rz(1.0106962447995258) q[2];
rx(-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": []} | [
"IIZIZIIIIII",
"IIZIIIIZIII",
"IIIIIIZIIZI",
"IIIIZIIIIIZ",
"IIIIIZZIIII",
"IIIZIIIIIIZ",
"IZIZIIIIIII",
"ZIIIIIIZIII",
"IIIIIIZIZII",
"IIZIIIIIIII",
"IIIIZIIIIII",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IZIIIIIIIII",
"ZIIIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.973587 | [
3.2708862344651677,
0.35653466881633655,
2.8786391192163325,
-1.3758693420247217,
3.3136412687678516,
0.634487537125211,
-0.14829006713886747,
1.6667022097417852,
0.19323035695268873,
1.956845235846047,
3.1296481250941968,
1.1310470782728597,
0.07116809915219313,
0.022849436164684545,
-0... | {
"n_parameters": 28,
"n_qubits": 11,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 60 |
d6a0416211a923ad5745888e36470119 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target":... | {"states": [0, 511], "expectation_value": -17.599723182836886, "params": [[[0.0021000000000000003, 1.5994000000000002], [0.0024000000000000002, 0.0021000000000000003], [0.0032, 0.0027], [0.0026000000000000003, -0.0031000000000000003], [0.0018000000000000002, 0.0024000000000000002], [0.0021000000000000003, 0.002], [0.00... | -2.0 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * (Z(5) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(3)) + -2.0 ... | 15 | 9 | 1 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["000000000"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.9569136646013533) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.1844350780294243) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(0.5813071740482846) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.1844350780... | 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;
ry(x0) q[0];
ry(x1... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIZIIIZI",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIZIZIII",
"IIIIIZIZI",
"IIIIZIZII",
"IIIZZIIII",
"IIIIZIIZI",
"IIIIZZIII",
"IZZIIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIIIIZI",
"... | [
-2,
0.5,
-2,
-2.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-2.5,
0.5,
0.5,
-2,
-2,
-2,
-1.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
1
] | 0.584934 | [
0.9569136646013533,
0.1844350780294243,
0.5813071740482846,
0.6654976616408042,
0.0035534887737996546,
0.9669021796980994
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -21,
"target_ratio": 0.97,
"target_value": -20.37
} | 159 |
-1164157439088496540 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4], [4, 5], [0, 5], [2, 7], [5, 7], [2, 4], [3, 7], [1, 2], [1, 7], [0, 6]]} | {"states": [54, 201], "expectation_value": -0.08516065329910358, "params": [[-0.0616], [0.0704]], "bitstrings": ["11001001", "00110110"], "total_optimization_steps": 10, "probabilities": [0.004461692020581228, 0.004461692020581228], "optimization_time": 0.653404712677002} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(6) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(6... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["00110110", "10001001", "01110110", "11001001"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.3711387563095194) q[0];
h q[1];
ry(-0.4210092794963352) q[1];
h q[2];
ry(0.04901977005949175) q[2];
h q[3];
ry(0.04901977005949175) q[3];
h q[4];
ry(0.05632465418673033) q[4];
h q[5];
h q[6];
cx q[6], q[0];
ry(0.3711387563095194) 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;
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[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[4]... | null | {"circuits": [], "gradients": []} | [
"IIIZZIII",
"IIZZIIII",
"IIZIIIIZ",
"IIIZIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZIIIIZII",
"IIIIIZZI",
"ZIIIIIZI",
"IZIIIIIZ",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIZII",
"ZIIIIIII",
"IIIIIIZI",
"IZIIIIII"
] | [
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
] | 0.97113 | [
0.11264930837346065,
0.0980395401189835,
-0.06397283890489744,
1.425432636292741,
-0.7422775126190388,
0.8427141712471532,
-0.7376962726432277,
1.5049398296421324,
-1.3652547027114776,
0.39170908910032826,
-0.2019014938356556,
-0.651398635898728,
0.5369905189727733,
-0.8420185589926704,
... | {
"n_parameters": 53,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 60 |
a4c9222a5b9b1eb79ad1a9b8af6d1a47 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [89, 81], "expectation_value": -2.6311024367197042, "params": [[[1.7116, 0.0064], [0.1408, 0.0031000000000000003], [1.5757, 0.0007], [1.5667, 0.0038], [0.049800000000000004, 0.009300000000000001], [0.0439, 0.005], [1.7066000000000001, 0.0082]]], "bitstrings": ["0100110", "0101110"], "total_optimization_steps... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["0110110", "0101110", "1110010", "0011110"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.13387575191618376) q[0];
rz(1.1268784712756936) q[0];
ry(-0.061935718834311704) q[1];
rz(-0.1256254565339984) q[1];
cx q[1], q[0];
ry(0.17863550986638815) q[1];
rz(-0.3160573702508178) q[1];
ry(1.4040934845537838) q[2];
rz(-0.04167296684653175) q[2];
ry(2.707808468... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IIZIIIZ",
"IZIIIIZ",
"IIZIIZI",
"IIZIZII",
"IIIIZZI",
"IZIZIII",
"IIIZIZI",
"IIIZZII",
"ZZIIIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-1,
-1,
0
] | 0.975619 | [
0.13387575191618376,
1.1268784712756936,
-0.061935718834311704,
-0.1256254565339984,
1.4040934845537838,
-0.04167296684653175,
2.7078084688485244,
-0.10488526508814922,
1.3362806829468774,
-0.0064888997952568545,
1.0065816399454337,
0.0076161104372490795,
1.4428275119501128,
1.359197111971... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 37 |
da3c81488557dc57e6e1f0bd43d65336 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [0, 28], "expectation_value": -8.578756314459913, "params": null, "bitstrings": ["11111", "00011"], "total_optimization_steps": 28, "probabilities": [0.141381338957833, 0.7964811195996159], "optimization_time": 10.69561505317688} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -1.0 * Z(4) + -1.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["00011"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(2.867085271407469) q[0];
rz(0.3043059900979084) q[0];
rx(0.09235165757558533) q[1];
rz(0.9535806604362476) q[1];
rx(-0.1119442096811765) q[2];
rz(1.1846710426102411) q[2];
rx(3.0988563508695517) q[3];
rz(0.5841200851268177) q[3];
rx(0.14325937118774348) q[4];
rz(-1.0... | null | {"node": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(1.5681) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqu... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.983007 | [
2.867085271407469,
0.3043059900979084,
0.09235165757558533,
0.9535806604362476,
-0.1119442096811765,
1.1846710426102411,
3.0988563508695517,
0.5841200851268177,
0.14325937118774348,
-1.0539834988881036,
3.200641439537315,
0.13258606659300243
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 12 |
2131761915024304403 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 4], [1, 2, 3], [1, 3, 5], [0, 2, 5], [2, 4, 5], [3, 4, 5], [0, 1, 2], [0, 2, 3]]} | {"states": [14, 25], "expectation_value": -0.02774082659213767, "params": [[0.0442], [-0.0325]], "bitstrings": ["110001", "100110"], "total_optimization_steps": 10, "probabilities": [0.015939742927636363, 0.01597067948379762], "optimization_time": 0.600360631942749} | 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.3333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(2)) +... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.166666666666667, -2.166666666666667], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.1666666666666665, "smallest_bitstrings": ["100110", "001010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(1.6895418588436297) q[0];
rz(pi/2) q[0];
ry(1.028812502063132) q[1];
ry(1.4975008598241133) q[2];
ry(1.7373024518525102) q[3];
ry(1.3942522288183057) q[4];
ry(1.4729869627343364) q[5];
cx q[5], q[0];
ry(-0.11916467064479992) q[0];
cx q[5], q[0];
ry(0.1191646706447999... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(x1) q[2];
cx q[4], q[2];
cx q[1... | null | {"circuits": [], "gradients": []} | [
"IZIIZI",
"IZIZII",
"IIIZZI",
"IZZIII",
"IIZIZI",
"IIZZII",
"ZZIIII",
"ZIIIZI",
"ZIIZII",
"ZIZIII",
"IIIIZZ",
"IIIZIZ",
"IIZIIZ",
"ZIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"IIZIII",
"ZIIIII",
"IIIIIZ"
] | [
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.33333333333333326,
0.5000000... | 0.974526 | [
1.6895418588436297,
1.028812502063132,
1.4975008598241133,
1.7373024518525102,
1.3942522288183057,
1.4729869627343364,
0.23832934128959984,
-0.28610590424913807,
-0.25984679563299184,
-0.13030214677433138,
1.0189349765361926,
0.13754418711455918,
1.5160750095883162,
2.2325184515955803,
1... | {
"n_parameters": 23,
"n_qubits": 6,
"optimal_eigenvalue": -2.166666666666667,
"target_ratio": 0.97,
"target_value": -2.101666666666667
} | 29 |
7bc4dde9a09d0b94c5097b219891d81a | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [0, 1], "expectation_value": -8.565377183863216, "params": [[[0.0014, 0.46140000000000003], [-0.0165, -0.3941], [-0.0106, -0.3907], [0.8054, 0.0008]], [[0.002, 0.0034000000000000002], [-0.010700000000000001, 0.0037], [-0.0058000000000000005, 0.0014], [0.8093, 0.0047]]], "bitstrings": ["1111", "1110"], "total... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + -4.5 * Z(1) + -4.75 * Z(0) + -4.5 * Z(2) + -4.25 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1110"], "largest_eigenvalue": 29.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
-4.5,
-4.75,
-4.5,
-4.25
] | 0.987235 | [
0.11953274834359354,
0.2854334628168601,
-0.11213716823678,
0.2175735915324961,
0.058537607426864216,
-0.2041489905535785,
1.195421164250731,
-0.0853700569336958,
0.21361350790414543,
0.08320735516977537,
-0.038044942888873196,
-0.02371278444846299,
-0.1628380576660834,
0.9476996835334291,... | {
"n_parameters": 22,
"n_qubits": 4,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 5 |
2766216575d506af6dd43cf61e47f17c | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target":... | {"states": [511, 255], "expectation_value": -2.1997216488874676, "params": [[0.0745], [-0.08030000000000001]], "bitstrings": ["000000000", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0036903729417271164, 0.0037792707080803916], "optimization_time": 1.0468006134033203} | -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -3.0 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(3)) + -2.5 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + -2.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.0 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(0.05426043236807844) q[3];
cx q[1], q[3];
ry(-0.05426043236807844) q[3];
cx q[1], q[3];
ry(0.029261669421503156) q[1];
h q[4];
ry(0.05426043236807844) q[4];
cx q[2], q[4];
ry(-0.05426043236807844) q[4];
cx q[2], q[4];
ry(1.612205768211... | 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[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[2], q[1];
rz(x0) q[1];
... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIZIIZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIIIZII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IIZIZIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"... | [
-2.5,
1,
-3,
0.5,
-2,
-2.5,
-2.5,
1,
-3,
0.5,
0.5,
0.5,
-2.5,
0.5,
-2,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.972367 | [
0.10852086473615688,
0.05852333884300631,
-0.24070979454728902,
1.6122057682112825,
0.42412224196161674,
1.1039617725668505,
0.08257027457108222,
0.11355170613822571,
0.26345213116979954,
1.4094817892418559,
0.20171202999971632,
-0.11304598539754435,
-0.08946847958307591,
1.305607034863617... | {
"n_parameters": 57,
"n_qubits": 9,
"optimal_eigenvalue": -21,
"target_ratio": 0.97,
"target_value": -20.37
} | 128 |
6129550657426354843 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 6], [0, 3], [2, 5], [0, 1], [4, 5], [3, 4], [0, 4], [1, 5], [1, 4], [1, 6]]} | {"states": [52, 75], "expectation_value": -0.07177063541659892, "params": [[-0.060500000000000005], [0.0603]], "bitstrings": ["1001011", "0110100"], "total_optimization_steps": 10, "probabilities": [0.008506132023437932, 0.008506132023437932], "optimization_time": 1.5386219024658203} | 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["0110100", "0111100", "1000111", "0111000", "1000011", "1001011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
ry(-0.14132140339234694) q[2];
h q[3];
h q[4];
ry(-0.14132140339234694) q[4];
cx q[1], q[4];
ry(0.14132140339234694) q[4];
cx q[1], q[4];
ry(-0.346325811460094) q[1];
cx q[0], q[1];
ry(0.346325811460094) q[1];
cx q[0], q[1];
ry(1.0368787738505136... | 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[6], q[2];
rz(x0) q[2];
cx q[6], q[2];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[2], q[5];
rz(x0) q[5];
cx q[2], q[5];
cx q[6], q[1];
... | null | {"circuits": [], "gradients": []} | [
"ZIIIZII",
"IIIZIIZ",
"IZIIZII",
"ZIIIIZI",
"IIIIIZZ",
"IZIIIZI",
"IIZZIII",
"IIZIIIZ",
"IZZIIII",
"IIZIIZI",
"ZIIIIII",
"IIIIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIZIIII"
] | [
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
] | 0.976074 | [
-0.2826428067846939,
1.4668473240901054,
-0.3577167250020553,
0.8748296560948524,
-0.12663539392195272,
-0.9470772141773856,
1.5742718399421978,
-0.692651622920188,
-0.656326628991555,
0.10874013526755366,
0.8651948779803132,
-0.5384770367755859,
0.3433677917404009,
0.24644628456987092,
... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 34 |
41e371d8cc4122e6ac05fda4a9a733df | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 1, "so... | {"states": [30, 1], "expectation_value": -1.5703121136173752, "params": [[0.0625, 0.061700000000000005, 0.0632, 0.06570000000000001], [-0.0631, -0.0582, -0.054400000000000004, -0.056]], "bitstrings": ["00001", "11110"], "total_optimization_steps": 10, "probabilities": [0.06602015210953106, 0.07674956037772493], "optimi... | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(1) @ Z(3)) + -1.0 * (Z(2) @ Z(3)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -1.0 * Z(3) + -0.25 * Z(0) + 0.75 * Z(1) + 0.0 * Z(2) + 0.5 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(-0.21164019377002524) q[0];
rz(0.29993552628560155) q[0];
rx(0.022404456669019523) q[1];
rz(0.24112094905567866) q[1];
rx(-0.12021742964398797) q[2];
rz(0.022404456669019523) q[2];
rx(0.020942544473592298) q[3];
rz(0.08815478690614406) q[3];
rx(2.9671795821067803) 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": 4} | {"circuits": [], "gradients": []} | [
"IZIIZ",
"IZIZI",
"IZZII",
"IIZZI",
"ZZIII",
"ZIIIZ",
"ZIIZI",
"ZIZII",
"IZIII",
"IIIIZ",
"IIIZI",
"IIZII",
"ZIIII"
] | [
-1,
-0.75,
-1,
-1.25,
-0.25,
1.25,
-0.25,
-0.25,
-1,
-0.25,
0.75,
0,
0.5
] | 0.984363 | [
-0.21164019377002524,
0.29993552628560155,
0.022404456669019523,
0.24112094905567866,
-0.12021742964398797,
0.020942544473592298,
0.08815478690614406,
2.9671795821067803,
-0.6183644341907681
] | {
"n_parameters": 9,
"n_qubits": 5,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 9 |
-6261261412196214975 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 4, 1], [1, 5], [9, 5], [8, 0], [2, 3, 6], [2, 4, 5], [0, 3, 7], [5, 7], [4, 7], [8, 7], [9, 4, 6], [9, 2, 7], [1, 6, 7], [0, 9], [1, 3, 6]]} | {"states": [908, 909], "expectation_value": -3.935952182587135, "params": [3.1445000000000003, 0.0011, 3.1445000000000003, 0.0021000000000000003, 3.1446, 0.0057, 0.49410000000000004, 0.0002, 0.2843, 0.009600000000000001, -0.0016, 0.0026000000000000003, 3.1447000000000003, 0.0032, 3.1446, 0.0074, 0.0025, 0.0017000000000... | 0.3333333333333333 * (Z(9) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(9)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(9)) + 0.166... | 16 | 10 | 1 | {"smallest_eigenvalues": [-4.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.166666666666667, "smallest_bitstrings": ["0001110010"], "largest_eigenvalue": 11.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(3.085430269443438) q[0];
rz(-0.08055251560627052) q[0];
rx(3.085430269443438) q[1];
rz(0.08917786780483576) q[1];
cx q[1], q[0];
rz(-0.022033379497314425) q[0];
cx q[1], q[0];
rz(0.010460618096224332) q[1];
rx(-3.1245735459933477) q[2];
rz(-0.009640606936809348) 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": []} | [
"ZIIIIZIIII",
"IIIIIZIIZI",
"ZIIIIIIIZI",
"IIIIZZIIII",
"ZIIIZIIIII",
"IIIIZIIIZI",
"ZIIIIIIIIZ",
"IZIIIIIIIZ",
"IIIIIZIZII",
"ZIIIIIIZII",
"IIIIZIIZII",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIZIZIIII",
"ZIIZIIIIII",
"IIIZIIIIZI",
"IIIZIIIZII",
"IIIZIIZIII",
"IIZIIZIIII"... | [
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.33333333333... | 0.970271 | [
3.085430269443438,
-0.102585895103585,
0.08917786780483576,
3.158611761186239,
-0.0045804019384865224,
0.09820820042686842,
-0.04305736457344584,
0.1071318807357538,
0.15610371971205697,
0.09616867893576622,
0.049489502647308184,
3.1421990054527464,
0.007375126983735242,
0.0054101735171310... | {
"n_parameters": 27,
"n_qubits": 10,
"optimal_eigenvalue": -4.166666666666668,
"target_ratio": 0.97,
"target_value": -4.041666666666668
} | 5 |
b112e2ea9564e5424aa1ebbe167f5e45 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [7, 5], "expectation_value": -3.85692267121242, "params": [[-0.1714, -0.1752, -0.1743], [0.1736, 0.1749, 0.1741]], "bitstrings": ["11111000", "11111010"], "total_optimization_steps": 20, "probabilities": [0.05377800869345352, 0.06421487537259439], "optimization_time": 4.108311653137207} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(4)) + 1.25 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(5)) + 0.0 * Z(1) + -0.25 * Z(0) + -0.5 * Z(3) + 1.75 * Z(5) + -1.0 * Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["11111010", "11111000"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.18819774766479871) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.18819774766479871) q[2];
cx q[1], q[2];
rz(0.9557972396968015) q[1];
rx(1.563801549934994) q[1];
h q[3];
cx q[0], q[3];
rz(0.4061575429734188) q[3];
cx q[0], 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIZIII",
"IIIIIZZI",
"IIZIIZII",
"IIIZZIII",
"IZZIIIII",
"IZIZIIII",
"ZIIIIIIZ",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
1.25,
-0.5,
0,
-0.25,
-0.5,
1.75,
-1,
-0.75,
0,
0.75
] | 0.90226 | [
0.18819774766479871,
0.4061575429734188,
-0.39507107261197827,
0.9557972396968014,
-0.4899844130103013,
0.8080302961898232,
0.8568281505616694,
-0.9522092767684763,
1.563801549934994,
0.3638837016850933,
0.5115046122872459,
-0.8854963185030021,
-2.014006815333632,
1.414161618397495,
1.20... | {
"n_parameters": 17,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 383 |
86f73578238baf3b633bd1fba1c953bb | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [62, 191], "expectation_value": -14.667187315829997, "params": null, "bitstrings": ["1111000001", "1101000000"], "total_optimization_steps": 100, "probabilities": [0.12488863678342652, 0.5632689141358193], "optimization_time": 165.22505950927734} | -2.0 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(4) @ Z(6)) + -2.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + -1.0 * (Z(9) @ Z(2)) + -1.5 * Z(3) + -1.5 * Z(0) + -1.5 * Z(1) + 0.5 * Z... | 5 | 10 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["1101000000"], "largest_eigenvalue": 18.0} | 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(0.008840522430869661) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.008840522430869661) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(-0.0009720178355127607) q[1];
cx q[0], q[1];
rz(1.5406073693635536) q[0];
rx(1.457808664636214) q... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... | [
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIZZIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"IZIZIIIIII",
"IZIIIZIIII",
"IZIIZIIIII",
"ZIIIIIIZII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIZIIIIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IZIIIIIIII"... | [
-2,
-2,
1,
-2,
-2.5,
0.5,
0.5,
-1.5,
-2,
0.5,
0.5,
-1,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.565497 | [
0.008840522430869661,
-0.0009720178355127607,
-0.7596839680431738,
-0.7173445708688156,
1.5406073693635536,
0.25294596708038575,
1.457808664636214
] | {
"n_parameters": 7,
"n_qubits": 10,
"optimal_eigenvalue": -18,
"target_ratio": 0.97,
"target_value": -17.46
} | 201 |
2631876904561401577 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [1, 7], [3, 4], [4, 7], [0, 7], [2, 5, 7], [1, 4, 6], [5, 6, 7], [2, 4, 5, 6], [3, 5], [0, 1, 2, 5]]} | {"states": [204, 236], "expectation_value": -3.8962732633644164, "params": null, "bitstrings": ["00110011", "00010011"], "total_optimization_steps": 52, "probabilities": [0.041949402491380024, 0.9034240734433526], "optimization_time": 80.65175867080688} | 0.5 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.08333333333333333 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.9166666666666656], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.8333333333333335, "smallest_bitstrings": ["00010011"], "largest_eigenvalue": 7.999999999999999} | 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(-0.6919864310856964) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.17107837401536377) q[1];
cx q[0], q[1];
h q[4];
cx q[3], q[4];
rz(-0.6919864310856964) q[4];
cx q[3], q[4];
h q[5];
cx q[3], q[5];
rz(-0.6919864310856964) q[5... | 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(1.4977) 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[... | [
"IIIIZIIZ",
"IIIIIIZZ",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIZZIII",
"IIIZIIZI",
"ZIIZIIII",
"IIIIIZIZ",
"IIIIIZZI",
"ZIIIIZII",
"IIIZIZII",
"IIZIZIII",
"IIZIIIIZ",
"IIZIIIZI",
"ZIZIIIII",
"IIZZIIII",
"IIZIIZII",
"IZIIIIZI",
"ZZIIIIII",
"IZIZIIII",
"IZIIIZII",
"IZZIIIII",
"IIIIZII... | [
0.5,
0.08333333333333333,
0.5,
0.5,
0.5,
0.16666666666666666,
0.5,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.3333333333333333,
0.08333333333333333,
0.3333333333333333,
0.16666666666666666,
... | 0.518524 | [
-0.6919864310856964,
0.17107837401536377,
-0.008757979371497138,
-0.21133113746878376,
-0.1750753396880479,
0.23639942886975115,
-0.09300324315945045,
-0.06983594989552255,
-1.4800652222161395,
-0.4124742365151709,
-1.4283454435718657,
0.8806167587935961
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -3.9166666666666656,
"target_ratio": 0.97,
"target_value": -3.7991666666666655
} | 245 |
3d599008e6d247101eb02503201a8a05 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [357, 97], "expectation_value": -5.890574193957668, "params": [[0.12100000000000001, 0.0244, 0.049300000000000004], [-0.1345, -0.134, -0.13140000000000002]], "bitstrings": ["111010011010", "111110011110"], "total_optimization_steps": 20, "probabilities": [0.0018678463275509732, 0.0018678463275509749], "optim... | 0.5 * (Z(5) @ Z(9)) + 2.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(5)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(10)) + -0.5 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(10)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -2.0 * (Z(3) @ Z(10)) + -0.5 * (Z(3) @ Z(6)) +... | 1 | 12 | 3 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 37, "first_excited_energy": -8.5, "sm... | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08055982018340721) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.08055982018340721) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(0.5225355503098899) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0805598201834072... | 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": []} | [
"IIZIIIZIIIII",
"IZZIIIIIIIII",
"IZIIIIZIIIII",
"IIZIIZIIIIII",
"IIIIIZZIIIII",
"IZIIIZIIIIII",
"IIZIIIIIIZII",
"IIIIIIZIIZII",
"IZIIIIIIIZII",
"IIIIIZIIIZII",
"IIZIIIIIZIII",
"IIIIIIZIZIII",
"IZIIIIIIZIII",
"IIIIIZIIZIII",
"IIIIIIIIZZII",
"IIZIIIIZIIII",
"IIIIIIZZIIII",
"IZIIIIIZI... | [
0.5,
2,
1,
0.5,
1,
1,
-0.5,
-1,
-1,
-1,
-1,
-0.5,
-2,
-0.5,
0.5,
-1,
-0.5,
-2,
-0.5,
0.5,
1,
-0.5,
-0.5,
0.5,
-0.5,
0.5,
-1,
0.5,
-0.5,
0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
1,
-0.5,
-0.5,
-0.5,
1.5,
2,
3,
2,
-2,
... | 0.869132 | [
0.08055982018340721,
-0.35470681563137524,
0.5225355503098899,
1.1234973761473965,
1.3097500534732263,
0.06301837355841679,
0.0172289539833638,
1.175101985651543,
-0.050600734974519,
-0.913335335482333,
1.0536620339595795,
1.7102271339985182,
2.127471121365935,
-0.06929635052414747,
1.03... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 500 |
d60bd0601326cfa100abef258dd8c714 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [2003, 722], "expectation_value": -57.11837949939659, "params": [[[-1.3628, 1.5706], [1.3476000000000001, 1.5753000000000001], [1.5741, 1.5714000000000001], [0.053500000000000006, 1.5683], [0.4892, -0.111], [1.9041000000000001, 0.4796], [0.4562, 0.4844], [-1.1983000000000001, 1.8940000000000001], [-0.0769000... | 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(0) @ Z(6)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(8) @ Z(1)) + 7.0 * (Z(9) @ Z(6)) + 7.0 * (Z(9) @ Z(0)) + 7.0 * (Z(9) @ Z(8)) + 10.0 * Z(1) + 0.5 * Z(2) + 16.0 * Z(4) + 7.5 * Z(3) + 1.5 * Z(5) + 13.5 * Z(6)... | 15 | 11 | 1 | {"smallest_eigenvalues": [-115.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -103.5, "smallest_bitstrings": ["10100101101"], "largest_eigenvalue": 148.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-1.5707963291426303) q[0];
ry(1.2852500926870996) q[1];
ry(1.5707963253257338) q[2];
ry(5.86601452404666e-09) q[3];
ry(2.3300977988790317e-08) q[4];
ry(3.1415926599606037) q[5];
ry(-6.0810353384079e-08) q[6];
ry(-1.0483241105639938) q[7];
ry(-1.5707963313303308) q[8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIIIZIZIII",
"IIIIZIIIIIZ",
"IIIZZIIIIII",
"IIZIIIIIIZI",
"IZIIZIIIIII",
"IZIIIIIIIIZ",
"IZZIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIIIIIIIIIZ",
"IIIZIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
10,
0.5,
16,
7.5,
1.5,
13.5,
4,
-6,
2.5,
12.5,
-9.5
] | 0.714286 | [
-1.5707963291426303,
1.2852500926870996,
1.5707963253257338,
5.86601452404666e-9,
2.3300977988790317e-8,
3.1415926599606037,
-6.0810353384079e-8,
-1.0483241105639938,
-1.5707963313303308,
-1.570796322300405,
1.5707963395527003,
1.570796315053547,
1.5707963169157209,
1.5707963083123904,
1... | {
"n_parameters": 22,
"n_qubits": 11,
"optimal_eigenvalue": -115.5,
"target_ratio": 0.97,
"target_value": -112.035
} | 412 |
-1082198652448256105 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 5], [1, 4], [2, 4, 5, 6], [0, 6], [3, 5], [0, 3, 4], [0, 1, 2], [2, 3]]} | {"states": [92, 86], "expectation_value": -2.9603428553336735, "params": null, "bitstrings": ["0100011", "0101001"], "total_optimization_steps": 38, "probabilities": [0.09984256764413672, 0.8015670623126363], "optimization_time": 50.083476066589355} | 0.3333333333333333 * (Z(1) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.16666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.2499999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3333333333333326, "smallest_bitstrings": ["0101001"], "largest_eigenvalue": 6.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.5544199272910173) q[0];
h q[1];
ry(-0.34943139152941216) q[1];
h q[2];
ry(1.5635492482612052) q[2];
h q[3];
ry(-0.2266946969992888) q[3];
h q[4];
cx q[4], q[1];
ry(0.34943139152941216) q[1];
cx q[4], q[1];
ry(-0.5231993405312393) q[1];
ry(1.1881871834712336... | 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(1.4074) 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", "... | [
"IIIIZZI",
"IZIIZII",
"IZIIIZI",
"IIZIZII",
"IIZIIZI",
"IZZIIII",
"ZIIIZII",
"ZZIIIII",
"ZIZIIII",
"IIIIZIZ",
"IIIIIZZ",
"IIZIIIZ",
"ZIIIIIZ",
"IIIZZII",
"IZIZIII",
"IIZZIII",
"IIIZIIZ",
"IIIIZII",
"IIIIIZI",
"IZIIIII",
"IIZIIII",
"ZIIIIII",
"IIIIIIZ",
"IIIZIII"
] | [
0.3333333333333333,
0.25,
0.16666666666666666,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.458... | 0.970108 | [
1.5635492482612052,
-0.4533893939985776,
0.8624488899070772,
-0.6652598327128472,
-0.6988627830588243,
0.98453742736667,
-1.0463986810624786,
1.5544199272910173,
-1.5506664581583596,
0.17012186926609751,
-0.5324557713762361,
0.4072995122091273,
0.13230443414661625,
-0.1531653255576065,
0... | {
"n_parameters": 26,
"n_qubits": 7,
"optimal_eigenvalue": -3.2499999999999996,
"target_ratio": 0.97,
"target_value": -3.1524999999999994
} | 17 |
ea2e3a0d0378f3ac5c8809953eb5c8b9 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [394, 395], "expectation_value": -0.9049552652789199, "params": [0.8031, 0.805, 0.8059000000000001, 0.7992, 0.5649000000000001, 0.5645, 0.0018000000000000002, 0.0019, 0.559, 0.5641, 0.8042, 0.809, 0.5642, 0.5669000000000001, 0.8047000000000001, 0.8092, 0.7975, 0.7957000000000001, 0.0083, 0.0041, 0.0512, 0.00... | 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)) + 0.5 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(8) @ Z(3)) + 0.125 * (Z(7) @ Z(5)) + 0.... | 13 | 9 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.375, "smallest_bitstrings": ["101100100", "001110100", "100100101", "001110010", "011110000", "001101100", "010110001"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.03049018985054917) q[0];
rz(-0.652895808350848) q[0];
rx(1.0828600210922614) q[1];
rz(0.11898671126681482) q[1];
rx(0.9878975468726287) q[2];
rz(0.489093148051591) q[2];
rx(0.02089852220290524) q[3];
rz(0.5743749621607193) q[3];
rx(-0.12966988553380707) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIZZIIIZ",
"IIZIZIIII",
"IIIZIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"IZIZIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IZIZIZIII",
"ZIIZIZIII",
"ZZIIIZIII",
"ZZIZIIIII",
"ZZIZIZIII",
"IIZIIIIZI",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
0,
-0.25,
-0.625,
-0.25,
0.125,
-0.25,
0.125,
-0.125
] | 0.976671 | [
0.030490189850549174,
-0.6018924218358704,
1.0828600210922616,
0.0027489327041744227,
0.9878975468726285,
0.3026425215455413,
0.020898522202905244,
0.7501048123061079,
-0.1296698855338071,
-0.06885013052475858,
0.9457023206511923,
0.29780809922888296,
1.1966749650026702,
0.0110733309894557... | {
"n_parameters": 58,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 16 |
9915ff93784d747e82bcd9a73a2399e5 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 3}, {"id": 4}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 3, "target": 4}, {"source": 4, "target": 1}, {"source": 4, "target": 2}]} | {"states": [26527, 26525], "expectation_value": -7.504758419522194, "params": [0.7899, 0.7912, 0.6934, 0.6875, 0.24380000000000002, 0.2485, 0.2126, 0.2126, 0.7743, 0.7866000000000001, 0.7712, 0.8066, 0.7652, 0.7629, 0.8126, 0.7995, 0.2419, 0.24550000000000002, 0.25270000000000004, 0.24980000000000002, 0.7689, 0.7909, 0... | 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(12) @ Z(0)) + 0.25 * (Z(12) @ Z(9)) + 0.25 * (Z(13) @ Z(1)) + 0.25 * (Z(13) @ Z(10)) + 0.5 * (Z(13) @ Z... | 13 | 15 | 2 | {"smallest_eigenvalues": [-8.74999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.749999999999957, "smallest_bitstrings": ["001100001100010"], "largest_eigenvalue": 26.250000000000096} | 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] 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",
"IIZIIIIIIIIIIIZ",
"IIZIIZIIIIIIIII",
"IZIIIIIIIIIIIZI",
"IZIIZIIIIIIIIII",
"IZZIIIIIIIIIIII",
"ZIIIIIIIIIIIZII",
"... | [
0.5,
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,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1.5,
1.5,
1.5,
0.75,
0.75,
0.75,
0.75,
0.75,
... | 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 |
2b8dca7c94388a8984b1472327af39be | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [133, 7], "expectation_value": -10.734835552007919, "params": [[0.051000000000000004, 0.025900000000000003], [-0.0775, -0.0673]], "bitstrings": ["01111010", "11111000"], "total_optimization_steps": 10, "probabilities": [0.009397716223636285, 0.010333751048023086], "optimization_time": 7.01030158996582} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3... | 5 | 8 | 2 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.3818771377724905) q[0];
rz(-1.9103690503996393) q[0];
rx(-0.11263134617702725) q[1];
rz(0.6007254116023226) q[1];
rx(-0.002501317637743139) q[2];
rz(0.08539354915702879) q[2];
rx(-0.0783377712412768) q[3];
rz(1.925375141265496) q[3];
rx(0.012064649750713419) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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 ... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
3,
2.75,
3,
3,
3,
2.75,
-7,
-7,
-7.5,
-7,
-7,
-6.5,
-6.5,
-6.5
] | 0.981014 | [
-0.3818771377724905,
-1.9103690503996393,
-0.11263134617702725,
0.6007254116023226,
-0.002501317637743139,
0.08539354915702879,
-0.0783377712412768,
1.925375141265496,
0.012064649750713419,
0.3747330441849217,
3.106996129162009,
-0.11573936158740605,
3.349533670738013,
0.27690137576373397,... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 22 |
96aa688a41503b0eea4bda42198f6281 | 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": 4, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 13, "source": 0, "target": 5}, {"weight": 3, "source": 2, "targ... | {"states": [221, 220], "expectation_value": -13.248496730994274, "params": [[0.0397], [-0.0829]], "bitstrings": ["100100010", "100100011"], "total_optimization_steps": 10, "probabilities": [0.004197879711692134, 0.005133056148859265], "optimization_time": 2.3054356575012207} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-83.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.5, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 166.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1309828985838556) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.1309828985838556) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1309828985838556) q[2];
cx q[0], q[2];
rz(-0.1539228319124235) q[0];
rx(-0.11835153931238239) q[0];
h q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IZIZIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
12,
2,
15.5,
10.5,
16,
22,
14.5,
8,
-1.5
] | 0.971118 | [
0.1309828985838556,
0.594262456020538,
-0.1539228319124228,
0.12446024266432326,
-0.6149272815905993,
-0.08643543530531737,
0.3525135566268864,
0.9509792797491994,
-0.18849338277309924,
-0.7155564044841078,
-0.11835153931238239,
-0.10838480904433179,
0.9411007451254257,
-1.130705164161819,... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -83.5,
"target_ratio": 0.97,
"target_value": -80.995
} | 54 |
572fd0f9ecd1a35670a297ec1414a2ae | 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}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "... | {"states": [3870, 4094], "expectation_value": -16.909809266821973, "params": null, "bitstrings": ["000011100001", "000000000001"], "total_optimization_steps": 100, "probabilities": [0.087574906022507, 0.44128758688401976], "optimization_time": 237.27166938781738} | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + -2.0 * (Z(10) @ Z(8)) + 1.0 * (Z(10) @ Z(7)) + -2.0 * (Z(10) @ Z(9)) +... | 1 | 12 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["000000000001"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.0009967498630471911) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-1.4196214864664531) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(0.002030608971698041) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-1.4196214864664534) q[2];
rx(1.5575... | null | {"node": 12} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5706) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measur... | [
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZZII",
"IIIIIIIIZIIZ",
"IIIIIIIIZIZI",
"IIIIIIZZIIII",
"IIIIIZZIIIII",
"IIIIIZIZIIII",
"IIIZZIIIIIII",
"IIZZIIIIIIII",
"IIZIZIIIIIII",
"IZIZIIIIIIII",
"IZIIZIIIIIII",
"IZZIIIIIIIII",
"IIIIIIIIIZII",
"IIIIIIIIIIIZ",
"IIIIIIIIIIZI",
"IIIIIIIIZ... | [
-1.5,
0.5,
-2,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
-2,
1,
-2,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.666106 | [
0.0009967498630471911,
-1.4196214864664531,
0.002030608971698041,
-0.0004100317735897061,
1.570796129434172,
1.5575851025512184
] | {
"n_parameters": 6,
"n_qubits": 12,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 183 |
-7745204400287325471 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 6], [2, 3], [3, 6], [4, 6], [2, 4], [4, 5], [6, 7], [5, 6], [1, 4], [0, 4]]} | {"states": [42, 213], "expectation_value": -0.09216738801960103, "params": [[0.0748], [-0.0629]], "bitstrings": ["11010101", "00101010"], "total_optimization_steps": 10, "probabilities": [0.004356662581360363, 0.004356662581360363], "optimization_time": 1.6759669780731201} | 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(7) + 0.0 * Z(0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -2.0, "smallest_bitstrings": ["11110101", "00011101", "00011010", "00011001", "11100110", "11100010", "11100101", "10100110", "11010101", "00101010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[1];
rz(0.6341769019137536) q[1];
cx q[6], q[1];
cx q[6], q[3];
rz(0.6341769019137536) q[3];
cx q[6], q[3];
cx q[3], q[2];
rz(0.6341769019137536) q[2];
cx q[3], q[2];
rz(-2.0360142904962686e-08) q[3];
rx(... | 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[6], q[1];
rz(x0) q[1];
cx q[6], q[1];
cx q[6], q[3];
rz(x0) q[3];
cx q[6], q[3];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[6]... | null | {"circuits": [], "gradients": []} | [
"IZIIIIZI",
"IZIIZIII",
"IIIIZZII",
"IZIZIIII",
"IIIZIIZI",
"IIIZIZII",
"IZZIIIII",
"IIZZIIII",
"ZZIIIIII",
"IIIZIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIIIZ"
] | [
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
] | 0.552465 | [
0.6341769019137536,
-2.0360142971868717e-8,
-0.7239664079906036
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 92 |
4187cb356e6f58a0c6714f20153352eb | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "s... | {"states": [255, 1], "expectation_value": -0.8080052328016523, "params": [[-0.0815], [0.0762]], "bitstrings": ["100000000", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0029781447125059863, 0.0030022104918346576], "optimization_time": 3.0335755348205566} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -1.5 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(5)) + 1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(4) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-11.0, -11.0, -11.0, -11.0, -11.0, -11.0, -11.0, -11.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -10.0, "smallest_bitstrings": ["101111110", "111111110", "111101100", "111111100", "111101110", "101101110", "101101100", "101111100"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-1.5081500063348694) q[0];
h q[1];
ry(0.8065816535019376) q[1];
h q[2];
ry(-0.7540750031674347) q[2];
h q[3];
ry(-0.7540750031674347) q[3];
h q[4];
ry(1.6131633070038751) q[4];
cx q[4], q[1];
ry(-0.8065816535019376) q[1];
cx q[4], q[1];
cx q[4], q[2];
ry(0.75... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIZIIZII",
"IIIZIIIZI",
"IIZIIIZII",
"IIZIIZIII",
"IIZIIIIZI",
"IIZZIIIII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIIIZIZII",
"IIIIZZIII",
"IIIZZIIII",
"IIZIZIIII",
"IZIIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"... | [
-0.25,
-0.75,
-0.75,
-0.5,
-1.5,
-0.25,
-0.5,
-0.25,
-1.5,
-0.75,
1.25,
-0.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-2,
-0.25,
-1.5,
1.5,
0,
-0.75,
0.5,
2,
0.5
] | 0.994759 | [
1.6131633070038751,
-1.5081500063348694,
1.454332119459762,
-1.566270194312548,
-1.4608687802827236,
0.027334740020596077,
-0.043700135081208874,
0.014272153998925395,
0.013217836416566887,
-0.14540721110637736,
-0.029155185286489253,
-0.06689160939984991
] | {
"n_parameters": 12,
"n_qubits": 9,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 1 |
0af011a3e3efdc768bc04ec8158153df | 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": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "ta... | {"states": [0, 177], "expectation_value": -2.9304207573834042, "params": [0.2998, 0.0004, 0.3029, 0.0006000000000000001, 0.3037, -0.0051, 0.3035, -0.0048000000000000004, 0.30160000000000003, -0.0017000000000000001, 0.3009, -0.0019, 0.3009, -0.0017000000000000001, 0.3037, -0.0019, 0.27340000000000003, 0.0023, 0.26180000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * Z(1) + 0.0 * Z(0) + -2.0 * Z(5) + -1.0 * Z(6) + -0.5 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) + 0.0... | 6 | 8 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["01001110", "10001110", "01001101"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.2966615182449077) q[0];
rz(1.4528018972594596) q[0];
rx(1.832124516972417) q[1];
rz(1.4388039976368878) q[1];
rx(1.310584135824381) q[2];
rz(1.0847087689883903) q[2];
rx(-3.0836339689073156) q[3];
rz(1.679537082685231) q[3];
rx(-0.015525601156281847) q[4];
rz(0.906... | 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",
"IIZIIIZI",
"IZIIIIZI",
"IZZIIIII",
"IIZIIZII",
"IIZZIIII",
"IIIZIZII",
"IIZIZIII",
"IIIZZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-2,
-1,
-0.5,
-1,
-0.5,
0
] | 0.970616 | [
1.2966615182449075,
-0.11799442953543682,
1.832124516972417,
-0.13199232915800896,
1.310584135824381,
-0.48608755780650603,
3.199551338272271,
0.10874075589033444,
-0.015525601156281849,
-0.663816433659306,
0.15719412977826405,
-0.00857073229622754,
0.2289906585552641,
2.8613358627279117,
... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 29 |
ff4d8612be902cee01cbb69055101657 | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [27, 25], "expectation_value": -1.5801270216686125, "params": [-0.0023, 0.0059, 0.6924, 0.0066, 1.9092, 0.0082, 1.901, 0.0004, 0.0023, 0.0045000000000000005, 1.4787000000000001, 0.0067, 1.9006, 0.0056, 0.009600000000000001, 0.0011, 0.0027, 0.0008, 0.0077, 0.0002, 0.0014], "bitstrings": ["1100100", "1100110"]... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(6) @ Z(0)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(6) @ Z(4)) + -0.125 * (Z(4) @ Z(0) @ Z(2)) + -0.125 * (Z(6) @ Z(0) ... | 18 | 7 | 1 | {"smallest_eigenvalues": [-2.625, -2.625, -2.625, -2.625, -2.625], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.625, "smallest_bitstrings": ["1001110", "1010110", "1100110", "1100101", "1101100"], "largest_eigenvalue": 5.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.004484549636475071) q[0];
cx q[4], q[0];
rz(0.7328109886623113) q[0];
rx(-0.8007113399707768) q[0];
cx q[4], q[1];
rz(-0.004484549636475071) q[1];
cx q[4], q[1];
cx q[1], q[3];
rz(-0.004484549636475071) q[3];
... | 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": []} | [
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"IIIZZZI",
"IZIIIZI",
"IIIIZIZ",
"IIZIIIZ",
"ZIIIIIZ",
"IIZIZII",
"ZIIIZII",
"ZIZIIII",
"IIZIZIZ",
"ZIIIZIZ",
"ZIZIIIZ",
"ZIZIZII",
"ZIZIZIZ",
"IZIZIII",
"ZIIZIII",
"ZZIIIII",
"ZZIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZ... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
-0.625,
-0.25,
0.125,
0,
-0.625,
-0.25,
0.125
] | 0.988988 | [
-0.004484549636475071,
-1.0690450112060856,
0.7328109886623114,
-1.0758900725224467,
0.8535075540902197,
-0.8007113399707768,
0.07221895186456898,
-0.520197576338447,
-0.671789822082748,
0.6519376481542358,
-0.8638708047021346,
0.2718423097134407,
-0.8220673049085121,
-0.492579786025785,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 32 |
ab01514d72b7516b73973ff582495374 | 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": 5}, {"source": 4, "target": 5}, {"source": ... | {"states": [799, 1023], "expectation_value": -0.19548553963634976, "params": [[-0.0281], [0.0221]], "bitstrings": ["0011100000", "0000000000"], "total_optimization_steps": 10, "probabilities": [0.0010567875461736979, 0.0010592660995054942], "optimization_time": 2.730065107345581} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -2.5 * (Z(5) @ Z(6)) + -2.5 * (Z(8) @ Z(6)) + -1.5 * (Z(8) @ Z(5)) + -2.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(8)) + -2.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + 0.5... | 1 | 10 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.03019145075309322) q[0];
ry(-0.08031813924568279) q[1];
ry(-1.1170941789701017) q[2];
ry(-0.08287358687465089) q[3];
ry(-0.0035253341042190724) q[4];
ry(0.03284626998956997) q[5];
ry(-0.019361205293923146) q[6];
ry(-0.08287358687465089) q[7];
ry(3.150938813399765... | 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[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[1], q[0];
rz(x0) q[0];
cx q[1], q... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIZZIIIII",
"IZIZIIIIII",
"IZIIZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"IZZIIIIIII",
"ZIIZIIIIII",
"ZIIIZIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIZIIIIII"... | [
-1,
-1.5,
0.5,
-2,
-2.5,
-2.5,
-1.5,
-2.5,
0.5,
0.5,
-2.5,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.971325 | [
-0.03019145075309322,
-0.08031813924568279,
-1.1170941789701017,
-0.08287358687465089,
-0.0035253341042190724,
0.03284626998956997,
-0.019361205293923146,
3.150938813399765,
-0.03672236193285898,
-0.10279673714435467,
-0.025194517829770162,
0.3020305013578938,
2.9069534110229704,
0.0323827... | {
"n_parameters": 17,
"n_qubits": 10,
"optimal_eigenvalue": -18,
"target_ratio": 0.97,
"target_value": -17.46
} | 49 |
9eb990d2817d4507a1e9a1f31f8f79ce | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [104, 56], "expectation_value": -6.999937480746295, "params": null, "bitstrings": ["0010111", "1000111"], "total_optimization_steps": 32, "probabilities": [1.63569187056525e-05, 0.9999687410148392], "optimization_time": 41.52206230163574} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["1000111"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.12292647584711837) q[0];
rz(-pi) q[0];
ry(-2.9613768013484556) q[1];
rz(-pi) q[1];
h q[2];
ry(1.3499241235450232) q[2];
cx q[2], q[0];
ry(0.010920664489540308) q[0];
cx q[2], q[0];
ry(0.09110301832663617) q[2];
ry(-0.02872093900862384) q[0];
h q[3];
ry(1.385647948... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IZIIIIZ",
"IZIIZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZZIIIII",
"IIZIIZI",
"IIZIZII",
"IZZIIII",
"ZIZIIII",
"IZIZIII",
"ZIIZIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIZIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-1.5,
-2,
-2.5,
-2,
-1
] | 0.997369 | [
-1.5454072326597215,
-1.5443650010788166,
-1.436949186458238,
1.3856479485248068,
1.3499241235450232,
-0.021841328979080615,
0.08131270201707194,
0.18220603665327234,
0.1050766275521009,
-0.002619135292361735,
-0.05744187801724768,
-0.08585061621585412,
0.07397892349269623,
0.0128536980205... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 1 |
0eed4e40a6e08d28e3a83f5be72a773a | 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": 1, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 7}, {"source": 3, "target": 4}, {"source": 3, "ta... | {"states": [168, 234], "expectation_value": -0.999956478451616, "params": [[0.0032, 0.0029000000000000002, 0.0173, -1.1740000000000002, -0.8134, -0.001, -0.0022, -0.0032], [0.0066, -0.0217, 0.0027, 0.7621, -0.7573000000000001, -0.0021000000000000003, -0.0035, -1.3217], [0.0047, 0.007200000000000001, 0.7613000000000001,... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + -1.5 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + -0.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z(7) + 0.0 * Z(4) + -0.5 * Z(6) | 9 | 8 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["00010101", "00110010"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(-7.570858361890895e-07) q[0];
h q[0];
rx(-1.6767648182079475e-08) q[1];
h q[1];
rx(0.0388476196827... | 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",
"IIIIZIZI",
"IIZIIZII",
"ZIIIZIII",
"ZIIIIZII",
"IIIZZIII",
"IZZIIIII",
"ZZIIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IIIIIZII",
"ZIIIIIII",
"IIIZIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
0,
-0.5,
-0.5,
-1,
0,
-0.5
] | 0.2 | [
-7.570858361890895e-7,
-1.6767648182079475e-8,
0.03884761968274504,
-1.069608259833391,
-0.6626638851079779,
-0.181671463789313,
-3.1739449541291407e-7,
-1.1300645648760813e-7,
0.09525267532671462,
-0.03884733951197817,
-5.43719712842865e-8,
0.8130864954192916,
-0.8859449327397908,
5.47069... | {
"n_parameters": 32,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 473 |
69144809aea48cb46eae9c3950f24a15 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [1774, 2910], "expectation_value": -0.3174103179148005, "params": [[-0.0201, -0.064], [-0.014400000000000001, 0.0623]], "bitstrings": ["100100010001", "010010100001"], "total_optimization_steps": 10, "probabilities": [0.0002909187114026255, 0.00029091871140262565], "optimization_time": 7.1006691455841064} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * ... | 1 | 12 | 2 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["010001010100", "010001010001", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.12397642308111168) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.12397642308111168) q[0];
cx q[1], q[0];
rz(-1.0412824378997723) q[0];
rx(-0.6835570607299903) q[0];
rz(0.6551677416149957) q[1];
rx(-0.6835570607299903) q[1];
rz(-1.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h ... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIZIIZIIIIII",
"IIZIIIIIIIIZ",
"IZIIZIIIIIII",
"IZIIIIIIIIZI",
"IZZIIIIIIIII",
"ZIIZIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.75,
0.75,
0.75,
1,
1,
1,
0.75,
0.75,
0.75,
1,
1,
1
] | 0.983631 | [
0.12397642308111168,
-1.0412824378997723,
0.6551677416149958,
-0.6835570607299902,
0.023146836072959226,
-0.5048269617904716,
0.6814886991250588,
-0.7325852103426811,
0.006386053532258323,
-0.47655542685563346,
0.11597712833781966,
-0.2813397718212035
] | {
"n_parameters": 12,
"n_qubits": 3,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
43307769d8a05a2ca68cecbc0fed0778 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1}, {"capaci... | {"states": [25, 31], "expectation_value": -0.11067378302433349, "params": [[-0.069], [0.0655]], "bitstrings": ["100110", "100000"], "total_optimization_steps": 10, "probabilities": [0.01706105559599854, 0.017331160186426144], "optimization_time": 1.373708963394165} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 0.75 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + 0.0 * Z(1) + -0.25 * Z(0) + -1.0 * Z(4) + -0.25 * Z(5) + 1.0 * Z(2) + 0.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.25, "smallest_bitstrings": ["100000", "100010", "100110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.00023124809840155782) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.00023124809840155782) q[4];
cx q[0], q[4];
h q[5];
cx q[1], q[5];
rz(0.00030875566784865986) q[5];
cx q[1], q[5];
cx q[0], q[5];
cx q[1], q[2];
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;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"IIIZZI",
"IZIZII",
"ZIIZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
-0.25,
-0.25,
-0.5,
0.75,
-0.25,
-0.5,
-0.25,
-0.75,
-0.25,
0,
-0.25,
-1,
-0.25,
1,
0.5
] | 0.846154 | [
-0.00023124809840155782,
0.00030875566784865986,
2.3115568584055075,
-3.216564759806828,
0.829794500941834,
-0.06741882085370919,
0.8321285704967755,
-0.06948214412449785,
0.5773648280487796,
0.00021406035029157414,
-0.0003257371873867132,
1.986953820724666,
-1.4634239239165174,
-1.0938387... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 500 |
6780318490522267498 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 2, 3, 5], [4, 5, 6, 7, 8], [1, 3, 6, 8, 9], [0, 9, 2], [0, 9, 3, 4], [0, 3, 6], [9, 2, 7], [1, 4, 5, 6, 7], [8, 2, 4, 7], [0, 1, 7, 8, 9], [8, 3, 5, 7], [0, 2, 3, 7, 8], [1, 4, 5, 7, 8], [1, 2, 3, 4, 7], [2, 6], [0, 1, 4, 6], [1, 2, 3, 4, 5], [0, 9, 4, 7], [0... | {"states": [980, 1012], "expectation_value": -3.9706381912697375, "params": [1.6913, 0.0245, 1.0754000000000001, 0.004200000000000001, 1.6860000000000002, 0.0361, 1.1193, 0.0027, 1.6844000000000001, 0.0286, 1.1747, 0.0019, 1.6902000000000001, 0.0287, 0.9059, 0.001, 1.4751, -0.3123, 0.7783, 0.0017000000000000001, 1.6858... | 0.3 * (Z(8) @ Z(2)) + 0.23333333333333334 * (Z(3) @ Z(2)) + 0.26666666666666666 * (Z(3) @ Z(8)) + 0.21666666666666667 * (Z(5) @ Z(2)) + 0.35 * (Z(5) @ Z(8)) + 0.21666666666666667 * (Z(5) @ Z(3)) + 0.18333333333333335 * (Z(4) @ Z(2)) + 0.18333333333333335 * (Z(4) @ Z(8)) + 0.18333333333333335 * (Z(4) @ Z(3)) + 0.2 * (Z(... | 6 | 10 | 1 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.2, "smallest_bitstrings": ["0000001011"], "largest_eigenvalue": 18.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.7939614580006342) q[0];
rz(1.5964702855675448) q[0];
rx(2.7184246520980953) q[1];
rz(1.8569344716102956) q[1];
rx(1.7266408151720982) q[2];
rz(1.5475683114161436) q[2];
rx(1.6165729776336073) q[3];
rz(1.34194162102591) q[3];
rx(1.9418065835151574) q[4];
rz(1.48412... | 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": []} | [
"IZIIIIIZII",
"IIIIIIZZII",
"IZIIIIZIII",
"IIIIZIIZII",
"IZIIZIIIII",
"IIIIZIZIII",
"IIIIIZIZII",
"IZIIIZIIII",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIZIIIZII",
"IZIZIIIIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IIIZIZIIII",
"IIZIIIIZII",
"IZZIIIIIII",
"IIZIIIZIII",
"IIZIZIIIII",
"IIZIIZIIII"... | [
0.3,
0.23333333333333334,
0.26666666666666666,
0.21666666666666667,
0.35,
0.21666666666666667,
0.18333333333333335,
0.18333333333333335,
0.18333333333333335,
0.2,
0.5,
0.1,
0.21666666666666667,
0.1,
0.18333333333333335,
0.35,
0.36666666666666664,
0.18333333333333335,
0.2333333333... | 0.970251 | [
1.7939614580006342,
0.025673958772647575,
2.7184246520980953,
0.2861381448153992,
1.7266408151720982,
-0.02322801537875268,
1.6165729776336073,
-0.22885470576898675,
1.9418065835151574,
-0.0866689054189666,
1.4418123648798453,
0.04033831078850064,
0.6693912465511749,
0.17567066861019778,
... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 141 |
23ed60bc96758366e843c21e3bc9a3e0 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [3, 7], "expectation_value": -11.466209278082529, "params": [[[0.40080000000000005, 0.19260000000000002], [0.4621, -0.1812], [0.4777, -0.1799], [0.4707, 0.1807], [0.46840000000000004, 0.1809], [0.79, 0.0018000000000000002], [0.8025, 0.0012000000000000001], [0.7926000000000001, 0.002]], [[0.4041, 0.0023], [0.... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.... | 1 | 8 | 2 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(2.2678692430954843) q[0];
ry(0.133982112329514) q[0];
rz(-1.6423171496700617) q[0];
rz(2.865239814634158) q[1];
ry(0.10791559648463672) q[1];
rz(-2.28638342328192) q[1];
rz(1.9493878355086798) q[2];
ry(0.421390967996594) q[2];
rz(-1.6340873891194703) q[2];
rz(1.60446... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
2.75,
3,
3,
3,
3,
2.75,
-7,
-7.25,
-7,
-7,
-7,
-6.25,
-6.5,
-6.5
] | 0.970676 | [
-0.1009869528208311,
0.2011463194306295,
-0.18388450202335396,
0.11641300867557425,
-0.1790840385320124,
0.2759826702065239,
0.2521979674672631,
-0.4285969017555645,
-0.1906059886326268,
0.9293906646938866,
0.9046304454595955,
0.13113208583620667,
1.1395547029818167,
-0.04090143663475966,
... | {
"n_parameters": 41,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 14 |
6e27c825b578bdc34d46b278685ce298 | 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": 3}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 3, "source": 0, "target": 9}, {"capac... | {"states": [9, 169], "expectation_value": -23.798638348679006, "params": null, "bitstrings": ["1111110110", "1101010110"], "total_optimization_steps": 82, "probabilities": [0.14305592851451157, 0.8509649937515801], "optimization_time": 188.1510832309723} | -0.5 * (Z(0) @ Z(3)) + -1.25 * (Z(7) @ Z(0)) + 2.0 * (Z(9) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(7)) + -0.75 * (Z(5) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -1.25 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(7)) + -1.25 * (Z(2) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-24.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.25, "smallest_bitstrings": ["1101010110"], "largest_eigenvalue": 17.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.02588134688681191) q[0];
rz(-0.002875099022831489) q[0];
ry(-0.02588134688681191) q[1];
ry(-1.3144522944941073) q[2];
ry(0.05786322026437553) q[3];
ry(2.0039603991160697) q[4];
ry(-0.020815638617393103) q[5];
ry(3.115250672394726) q[6];
ry(-0.0454810203739918) q[... | 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(0.9755) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5]... | [
"IIIIIIZIIZ",
"IIZIIIIIIZ",
"ZIIIIIIIIZ",
"IIIIIIZIZI",
"IIZIIIIIZI",
"IIZIZIIIII",
"IIIIZIIIZI",
"IZIIIIZIII",
"IZZIIIIIII",
"IZIIIIIIZI",
"IZIIZIIIII",
"IIIIIIZZII",
"IIZIIIIZII",
"IIIIIIIZZI",
"IIIIZIIZII",
"ZIIIIZIIII",
"IIIIIZIZII",
"IIIZIIZIII",
"IIIZIIIIZI",
"IIIZZIIIII"... | [
-0.5,
-1.25,
2,
-1,
-0.5,
-0.75,
-1.5,
-1.25,
-0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-1.25,
-0.5,
-0.75,
-2,
-0.25,
-1.25,
-0.75,
-1,
-1,
-0.75,
-0.25,
-1,
1.25,
-1.25,
-1.75,
-2.75,
1,
1.25,
4.25
] | 0.982027 | [
-0.02588134688681191,
-1.3144522944941073,
0.05786322026437553,
2.0039603991160697,
-0.020815638617393103,
3.115250672394726,
-0.0454810203739918,
1.5273488783416482,
-0.005750198045662978,
2.8598473440870893,
2.277316628375472,
-0.9628406402643637,
2.8897114141337714,
0.6971036435387551,
... | {
"n_parameters": 33,
"n_qubits": 10,
"optimal_eigenvalue": -24.25,
"target_ratio": 0.97,
"target_value": -23.5225
} | 8 |
429a4b5a96135ec62e64c2b19aaedbc8 | 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": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"sour... | {"states": [416, 420], "expectation_value": -3.498316516934887, "params": [1.6044, 0.0094, 1.6143, 0.002, 1.3136, 0.0011, 1.6098000000000001, 0.0083, -0.002, 0.004200000000000001, 0.36160000000000003, 0.0039000000000000003, 1.6032000000000002, 0.0088, 0.3803, 0.0005, 0.0029000000000000002, 0.0011, 0.0019, 0.0035, 0.005... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + -1.0 * Z(7) + -0.5 * Z(0) + -1.5 * Z(8) + -1.5 * Z(4) + ... | 3 | 9 | 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": ["010001111", "000011111", "100011110", "011010011", "001011011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(3.096995624843759) q[0];
rz(-0.40759085485083446) q[0];
rx(-2.8910416455911165) q[1];
rz(-0.42649275929360186) q[1];
rx(-0.024423540629217144) q[2];
rz(-0.6419421351791961) q[2];
rx(2.859296176401339) q[3];
rz(-0.20989574296340052) q[3];
rx(0.11120436044101148) 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": []} | [
"IZIIIIIIZ",
"ZZIIIIIII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"IIIIZIIZI",
"IIIZZIIII",
"IIIZIIIZI",
"IIIZIIZII",
"ZIZIIIIII",
"IIZIZIIII",
"IIZIIIZII",
"IZIIIZIII",
"IZIIIIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIZIIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIIIZII",
"IIZIIIIII",
"IIIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1.5,
-1.5,
-0.5,
-1,
-0.5,
-1,
0
] | 0.974578 | [
3.096995624843759,
-0.12885484026988986,
3.39214366158847,
-0.608685385754344,
-0.024423540629217144,
-0.09938069690633722,
2.859296176401339,
-0.5439926548443355,
0.11120436044101148,
0.18466657925405672,
-0.05145371034167005,
-0.4456620036311562,
2.9271095036252923,
0.3672200020457237,
... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 24 |
5e1f1e75ba04327de43b1491321a7511 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 0, ... | {"states": [129, 1], "expectation_value": -11.430586736234044, "params": null, "bitstrings": ["01111110", "11111110"], "total_optimization_steps": 29, "probabilities": [0.34605958487624006, 0.38668553381417664], "optimization_time": 27.110671758651733} | -0.75 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -1.75 * (Z(5) @ Z(3)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.28663161818796734) q[0];
h q[1];
h q[2];
ry(-1.6210146603569464) q[2];
h q[3];
ry(-1.6210146603569464) q[3];
h q[4];
ry(-1.6210146603569464) q[4];
ry(-0.2510354001517809) q[5];
rz(-pi) q[5];
h q[6];
ry(0.6181421229289458) q[6];
cx q[1], q[6];
ry(-0.6... | 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[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[... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIIIZ",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIIZZII",
"ZIIIZIII",
"IZIIIIZI",
"ZZIIIIII",
"IIZIIZII",
"IIZZIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII"
] | [
-0.75,
-1.5,
-0.75,
3.25,
-0.25,
-0.5,
-0.25,
-1,
-0.5,
-0.75,
-1.5,
-1.75,
0.5,
-0.25,
-0.25,
0.75,
2.5,
-2.25,
-0.5,
-0.5
] | 0.974536 | [
1.6268721490235387,
-2.1726476528244962,
-1.6210146603569464,
-1.2411755802850961,
1.2362842458578915,
-1.0503144986838098,
-0.3427277786644807,
-0.7765492679923298,
-1.1729325369956523,
-1.0244981473774728,
0.6304394156832644,
-0.6913760511837018,
0.5549559263937737,
-0.15717069271603917
... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -16.25,
"target_ratio": 0.97,
"target_value": -15.7625
} | 15 |
dd6cbd926c438646227685613b90c0ee | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target":... | {"states": [0, 511], "expectation_value": -18.097862279872423, "params": [[[-0.0027, 1.5988], [0.0031000000000000003, 0.0025], [0.0029000000000000002, -0.0029000000000000002], [-0.0016, 0.002], [0.0019, -0.002], [0.0024000000000000002, -0.0022], [0.0025, 0.0024000000000000002], [0.0024000000000000002, 0.002], [0.002600... | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + -2.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -2.0... | 15 | 9 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["000000000"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.10477435740476918) q[0];
ry(0.13964473924158663) q[1];
ry(0.10379564031507423) q[2];
ry(-0.23619394232369245) q[3];
ry(0.05486363925631006) q[4];
ry(0.13187898493719163) q[5];
ry(0.008182461891216207) q[6];
ry(0.13187898493719163) q[7];
ry(-0.06570850791624595) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIZZIIII",
"IIIIZZIII",
"IZZIIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIZIIIII",
"IIIIIZIII",
"... | [
-2,
0.5,
-3,
-2,
-2.5,
1,
0.5,
-2,
0.5,
1,
-2.5,
-2.5,
0.5,
-1.5,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
-1.5
] | 0.976333 | [
-0.10477435740476918,
0.13964473924158663,
0.10379564031507423,
-0.23619394232369245,
0.05486363925631006,
0.13187898493719163,
0.008182461891216207,
-0.06570850791624595,
3.277807755020058,
-0.01886910387327828,
-0.05069884579425296,
-0.009741861199815363,
-0.018455669851294293,
-0.306330... | {
"n_parameters": 14,
"n_qubits": 9,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 17 |
4cd28f9bc761b26f6d6f15aeccbaedea | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 4}, {"weight": 18, "source": 0, "target": 5}, {"weight": 20, "source": 0, "target": 3}, {... | {"states": [122, 121], "expectation_value": -20.30318670301267, "params": [[0.023, 0.008, -0.0039000000000000003], [-0.052700000000000004, -0.0589, -0.0446]], "bitstrings": ["10000101", "10000110"], "total_optimization_steps": 10, "probabilities": [0.010007825316861441, 0.0106235719395832], "optimization_time": 6.73172... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 18.0 * Z(1) + 12.5 * Z(0) + 17.5 *... | 1 | 8 | 3 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10000110"], "largest_eigenvalue": 145.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.00016732716707271525) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.00016732716707271525) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.00016732716707271525) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.00016732716707271525) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIZIIIZI",
"IZIIIZII",
"IZIIZIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
18,
12.5,
17.5,
17,
8.5,
0,
8.5,
11
] | 0.920635 | [
0.00016732716707271525,
-0.5924455788903747,
1.1202157596152196,
-2.1299919140966863,
-0.921283751470345,
-0.9259638537657344,
0.656788748097326,
0.05566707846777746,
-0.2350099582362983,
-0.00025338828965832576,
-0.7056870444167618,
0.6002165622279372,
0.40321396654204583,
-0.860670749125... | {
"n_parameters": 33,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 500 |
607dfe672a9c089714e83d20227118f4 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [72, 73], "expectation_value": -3.7257382664292114, "params": [0.9027000000000001, 0.0017000000000000001, 0.7732, -0.038900000000000004, -0.0016, 0.5409, 0.9025000000000001, 0.2018, 0.0047, 0.5309, 0.0782, 0.6111, 0.8053, 0.1957, 0.9057000000000001, 0.006500000000000001, 0.7719, 0.0028, -0.0016, 0.0031000000... | 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... | 3 | 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.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"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 |
6e37aef8e2f10c2778e28c9dc9b1affa | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [28, 67], "expectation_value": -0.7951443864820583, "params": [[-0.051300000000000005, -0.07010000000000001], [0.0563, 0.06380000000000001]], "bitstrings": ["1100011", "0111100"], "total_optimization_steps": 10, "probabilities": [0.010339683683977518, 0.011233092163268213], "optimization_time": 3.44003367424... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * Z(2) + -0.5 * Z(0) + -1.0 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111100"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.2775732297863516) q[0];
rz(-0.3305087434857717) q[0];
ry(0.6345449181272201) q[1];
rz(0.15931776173284024) q[1];
cx q[1], q[0];
ry(0.17013468057679076) q[0];
rz(0.23989733092694884) q[0];
ry(-0.09336591035330995) q[1];
rz(-0.3558798878985864) q[1];
ry(0.6843886038... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZIIZ",
"IIIIZZI",
"IIZIZII",
"IIZIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"IZZIIII",
"ZIIIZII",
"ZIIZIII",
"ZIIIIZI",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1,
-1.5,
-1.5,
-1.5,
-1.5
] | 0.970122 | [
0.2775732297863516,
-0.3305087434857717,
0.6345449181272201,
0.15931776173284024,
0.6843886038977415,
0.19151158251558112,
0.03791266297523649,
-0.4190659203460903,
-0.17971102873783695,
-0.5348340876475711,
-0.07570081925425122,
-0.5629568151206856,
1.1222819806574604,
0.4239342889584007,... | {
"n_parameters": 144,
"n_qubits": 13,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 91 |
406f205c8f68e15d44cfdbce281f4c7d | 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": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [37, 49], "expectation_value": -2.9965156243239575, "params": null, "bitstrings": ["011010", "001110"], "total_optimization_steps": 20, "probabilities": [0.06700894031405273, 0.9297461660320854], "optimization_time": 11.151475667953491} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(3) + 0.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["001110", "011010", "000111"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.00817263797266711) q[0];
rz(0.5966647633891988) q[0];
rx(-0.00817263797266711) q[1];
rz(0.13566274477300744) q[1];
rx(3.0563566369992974) q[2];
rz(1.526362272167271) q[2];
rx(2.7143491625185714) q[3];
rz(0.6625473815348293) q[3];
rx(-0.235591289998422) 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(-1.5681) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IZIIIZ",
"IIZIZI",
"IZIZII",
"IIZZII",
"ZZIIII",
"ZIIZII",
"IZIIII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-0.5,
0,
-1,
-0.5
] | 0.974338 | [
-0.00817263797266711,
0.5966647633891988,
0.13566274477300744,
3.0563566369992974,
1.526362272167271,
2.7143491625185714,
0.6625473815348293,
-0.235591289998422,
0.5263775625222091,
3.0339991639572848,
0.17723105258234045
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 12 |
2133bfe2f16c389d56b638843cb4baa9 | 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": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [112, 88], "expectation_value": -5.49646409782871, "params": null, "bitstrings": ["0001111", "0100111"], "total_optimization_steps": 29, "probabilities": [0.06634871027471186, 0.9303659638128933], "optimization_time": 25.890783548355103} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + -1.5 * Z(4) + -1.0 * Z(0) + -1.5 * Z(5) + -2.0 * Z(6) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0001111", "0100111"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.6938330333533728) q[0];
rz(0.04340559251346532) q[0];
rx(1.6190866722227788) q[1];
rz(0.21822482084000655) q[1];
rx(0.07953552909807407) q[2];
rz(0.21033886300905133) q[2];
rx(0.12141305027050656) q[3];
rz(-0.14075848719450382) q[3];
rx(1.8353493747793987) 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[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIZIIIZ",
"IZIIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"ZZIIIII",
"IIZIIZI",
"IZIIIZI",
"ZIIIIZI",
"IIZZIII",
"IIIZIZI",
"IZIIZII",
"ZIIIZII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-2,
-1.5,
-0.5,
-0.5
] | 0.977452 | [
0.6938330333533727,
0.10444868899735549,
1.6190866722227788,
0.21822482084000655,
0.07953552909807407,
0.21033886300905133,
0.12141305027050656,
-0.14075848719450382,
1.8353493747793987,
-0.03682289945513749,
1.0826367777520747,
-0.06294569381583645,
1.851622855274523,
0.24598983421835321,... | {
"n_parameters": 67,
"n_qubits": 12,
"optimal_eigenvalue": -3.6875,
"target_ratio": 0.97,
"target_value": -3.576875
} | 61 |
bb51b85a8f0cca1e878093cb2d4e9f25 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [11, 7], "expectation_value": -3.9964640788483465, "params": null, "bitstrings": ["110100", "111000"], "total_optimization_steps": 21, "probabilities": [0.06634840540222475, 0.9303662461102485], "optimization_time": 14.513680219650269} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000", "110100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) q[3];
cx q[1], q[3];
cx... | 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",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIIZ",
"ZIIIZI",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1,
-1,
0,
0
] | 0.970515 | [
0.0578548521713938,
-0.5965324608541779,
0.14798932566828993,
0.42484350980591923,
-0.9272829572068437,
-0.04010345398285296,
-1.1578923267991272,
-0.46130283317179,
-1.0852932021567716,
0.9461273837682691,
-0.03445215865394413,
-1.0967217839356491,
-0.4607238774334183,
0.35636944727550446... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 112 |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [14, 77], "expectation_value": -2.879885350711258, "params": null, "bitstrings": ["1110001", "0110010"], "total_optimization_steps": 37, "probabilities": [0.06141251598943395, 0.8446750997103469], "optimization_time": 43.87950110435486} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4)... | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.125, -3.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.125, "smallest_bitstrings": ["1010001", "0110010"], "largest_eigenvalue": 5.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.8473521450627363) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.8473521450627363) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.042967194764701365) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(-0.8473521450627363) q[4];
cx ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4449) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIZZII",
"IIZIZII",
"IIIZIIZ",
"IIZIIIZ",
"IZIIIIZ",
"IIZZIII",
"IZIZIII",
"IZZIIII",
"IIZZIIZ",
"IZIZIIZ",
"IZZIIIZ",
"IZZZIII",
"IZZZIIZ",
"ZZIIIII",
"ZIIIIZI",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
-0.125,
-0.5,
-0.5,
-0.125,
-0.125,
-0.125,
-0.5
] | 0.505615 | [
-0.8473521450627363,
-0.042967194764701365,
0.0646286253227127,
0.4276632086634684,
0.7850932252334482
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 131 |
240b510bfe77c5e3336f7e5d9b59c15c | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 9}, {"source": 4, "target": 5},... | {"states": [1920, 1792], "expectation_value": -3.8594270131017647, "params": [[-0.0601], [0.0659]], "bitstrings": ["00001111111", "00011111111"], "total_optimization_steps": 10, "probabilities": [0.0010128410535858619, 0.0010267623523291117], "optimization_time": 1.006700038909912} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + -2.5 * (Z(4) @ Z(5)) + -3.5 * (Z(7) @ Z(5)) + -3.0 * (Z(7) @ Z(4)) + 1.0 * (Z(10) @ Z(5)) + -3.0 * (Z(10) @ Z(4)) + -3.0 * (Z(10) @ Z(7)) + 1.0 * (Z(6) @ Z(7)) + 1.0 * (Z(6) @ Z(10)) + 1.0 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(3)) + 1... | 1 | 11 | 1 | {"smallest_eigenvalues": [-40.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -39.5, "smallest_bitstrings": ["00011111111"], "largest_eigenvalue": 48.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.11298371760739895) q[0];
rz(2.1308247945301666) q[0];
rx(-1.0959930436633436) q[1];
rz(1.2542290970679808) q[1];
rx(1.8089390536199348) q[2];
rz(1.4578126091874974) q[2];
rx(-0.4808982960156868) q[3];
rz(1.9236401387898638) q[3];
rx(0.02092150305514334) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIZIZIIIII",
"IIIZIIZIIII",
"ZIIIIZIIIII",
"ZIIIIIZIIII",
"ZIIZIIIIIII",
"IIIZZIIIIII",
"ZIIIZIIIIII",
"IIZIIZIIIII",
"IIZIIIIZIII",
"IIZIIIZIIII",
"IIZZIIIIIII",
"ZIZIIIIIIII",
"IIZIZIIIIII",
"IZIIIZIII... | [
-1.5,
0.5,
-1.5,
0.5,
-2.5,
-3.5,
-3,
1,
-3,
-3,
1,
1,
1,
0.5,
1,
-4,
-3.5,
-3,
1,
0.5,
1,
-4,
-3.5,
-3,
-3,
0.5,
0.5,
0.5,
-3,
-2,
1,
2,
1.5,
1.5,
-3.5,
-3.5
] | 0.97008 | [
-0.11298371760739895,
0.5600284677352704,
-1.0959930436633436,
-0.3165672297269168,
1.8089390536199348,
-0.48089829601568673,
0.35284381199496845,
0.020921503055143342,
0.07189399056380955,
-0.009901088009585213,
-0.0003831305348618863,
0.06461911768407497,
0.048728852687442384,
0.12819816... | {
"n_parameters": 26,
"n_qubits": 11,
"optimal_eigenvalue": -40.5,
"target_ratio": 0.97,
"target_value": -39.285
} | 5 |
-3194089242389108944 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[1, 2, 4, 7, 9, 10], [5, 6, 7], [0, 3, 7, 8, 9, 11, 12], [1, 3, 5, 7, 10, 12], [8, 1], [2, 3, 5, 9, 12], [11, 5], [1, 3, 5, 6], [1, 2, 4, 6], [0, 1, 4, 5], [0, 3, 4, 6, 8], [1, 3, 4, 5, 7, 9], [8, 9, 10], [8, 10, 7], [1, 2, 3, 5, 9, 10], [1, 2, 3, 6, ... | {"states": [7021, 7023], "expectation_value": -3.7666998534489373, "params": [1.7788000000000002, 1.3934, 1.0654000000000001, 1.1217000000000001, 1.7802, 1.371, 1.5374, 1.6039, 1.6665, 1.7842, 0.3401, 0.34400000000000003, 1.4411, 1.6974, 1.54, 1.6085, 0.1381, 0.1179, 1.7675, 1.3785, 1.7841, 1.3800000000000001, 0.493100... | 0.22380952380952382 * (Z(1) @ Z(2)) + 0.14047619047619048 * (Z(4) @ Z(2)) + 0.2571428571428571 * (Z(4) @ Z(1)) + 0.10714285714285715 * (Z(7) @ Z(2)) + 0.20714285714285716 * (Z(7) @ Z(1)) + 0.09047619047619047 * (Z(7) @ Z(4)) + 0.1904761904761905 * (Z(9) @ Z(2)) + 0.12380952380952381 * (Z(9) @ Z(1)) + 0.0904761904761904... | 14 | 13 | 1 | {"smallest_eigenvalues": [-4.935714285714286], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.914285714285715, "smallest_bitstrings": ["0010010010000"], "largest_eigenvalue": 19.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.6759017933842981) q[0];
rz(pi/2) q[0];
ry(1.7294051822926297) q[1];
ry(1.4328500257129961) q[2];
ry(1.7518771297267106) q[3];
ry(1.7327903325311653) q[4];
ry(0.1786508614403981) q[5];
ry(1.6971305492351325) q[6];
ry(1.5642029878976123) q[7];
ry(-0.1978060030125565... | 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": []} | [
"IIIIIIIIIIZZI",
"IIIIIIIIZIZII",
"IIIIIIIIZIIZI",
"IIIIIZIIIIZII",
"IIIIIZIIIIIZI",
"IIIIIZIIZIIII",
"IIIZIIIIIIZII",
"IIIZIIIIIIIZI",
"IIIZIIIIZIIII",
"IIIZIZIIIIIII",
"IIZIIIIIIIZII",
"IIZIIIIIIIIZI",
"IIZIIIIIZIIII",
"IIZIIZIIIIIII",
"IIZZIIIIIIIII",
"IIIIIIIZIIZII",
"IIIIIIIZIII... | [
0.22380952380952382,
0.14047619047619048,
0.2571428571428571,
0.10714285714285715,
0.20714285714285716,
0.09047619047619047,
0.1904761904761905,
0.12380952380952381,
0.09047619047619047,
0.16428571428571428,
0.06666666666666667,
0.1,
0.03333333333333333,
0.23333333333333334,
0.2833333333... | 0.973037 | [
1.6759017933842981,
1.7294051822926297,
1.4328500257129961,
1.7518771297267106,
1.7327903325311653,
0.1786508614403981,
1.6971305492351325,
1.5642029878976123,
-0.19780600301255652,
1.8676188717666848,
2.3289083682429768,
0.245368192570714,
1.2764962801281519,
0.8705994123077332,
0.91348... | {
"n_parameters": 52,
"n_qubits": 13,
"optimal_eigenvalue": -4.935714285714286,
"target_ratio": 0.97,
"target_value": -4.787642857142857
} | 47 |
7254169215238567323 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 7], [8, 3], [4, 5], [1, 4], [2, 5], [3, 6], [8, 1], [1, 2], [2, 3], [5, 6], [0, 5], [2, 6], [2, 4], [4, 7], [1, 3]]} | {"states": [169, 170], "expectation_value": -3.715084789182543, "params": null, "bitstrings": ["101010110", "101010101"], "total_optimization_steps": 81, "probabilities": [0.027087664496015827, 0.709100622407525], "optimization_time": 159.29114961624146} | 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(0) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["101010101", "010101010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.1029375017709846) q[0];
rz(1.450543554355411) q[0];
rx(0.37518783285338) q[1];
rz(1.9239359551617516) q[1];
rx(2.574825563600292) q[2];
rz(1.8152779540204484) q[2];
rx(0.62669555186896) q[3];
rz(1.4517292677564075) q[3];
rx(1.5301709881935481) q[4];
rz(1.5068221067... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[6], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... | [
"ZZIIIIIII",
"ZIIIIZIII",
"IZIIZIIII",
"IIIZZIIII",
"ZIIIIIIZI",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIZII",
"IIIIIIZZI",
"IIZIIZIII",
"IIZZIIIII",
"IIZIIIZII",
"IIIZIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.972153 | [
2.1029375017709846,
-0.12025277243948598,
0.37518783285338003,
0.35313962836685503,
2.574825563600292,
0.24448162722555256,
0.6266955518689599,
-0.11906705903848933,
1.5301709881935481,
-0.06397422004945155,
-0.14043161561669654,
0.21507167211230502,
1.6543218444673125,
0.05146266918280673... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 98 |
3fb92c2724b637b3a6562529e78f511e | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [474, 218], "expectation_value": -31.501389729541433, "params": [[-0.0434, -0.0044, 0.0057, 0.010400000000000001], [0.0748, 0.0665, 0.06760000000000001, 0.061700000000000005]], "bitstrings": ["000100101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.013844902032906593, 0.0167934014456704... | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(7) @ Z(0)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(8)) + 9.5 * Z(0) + 10.0 * Z(1) + 18.0 * ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-76.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 144.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(-0.03793116302086931) q[1];
cx q[0], q[1];
h q[2];
cx q[0], q[2];
rz(-0.03793116302086931) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.03793116302086931) q[4];
cx q[1], q[4];
cx q[4], q[2];
rz(-0.03793116302086931) q[2];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIIIZZII",
"IIIZIZIII",
"IIZZIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"IZIIIIIIZ",
"IZIIIIZII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
9.5,
10,
18,
15.5,
7.5,
8.5,
-1.5,
5,
13.5
] | 0.972918 | [
-0.03793116302086931,
-1.4248751134690034,
0.8964339439827548,
1.4787506140257047,
1.5833165455215517,
-1.1332226758853523,
1.2759810525841642,
-1.2072559147152429,
-1.196711431177058,
1.2757363169196658,
-1.3277207555605701,
0.14921189922378797,
-0.33133647995979043,
1.3848966292509064,
... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -76.5,
"target_ratio": 0.97,
"target_value": -74.205
} | 110 |
74f246475a204c7e4685beb9efae91eb | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 4, "source": ... | {"states": [0, 256], "expectation_value": -36.09920470222479, "params": [-0.003, -0.0071, -0.0006000000000000001, 0.0019, -0.0041, 0.0016, 0.2985, 0.30110000000000003, -0.0021000000000000003, -0.0014, 0.0017000000000000001, -0.0047, -0.0024000000000000002, -0.0001, -0.001, -0.0037, -0.0054, 0.0018000000000000002, -0.00... | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + -1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(9) @ Z(0)) + -1.25 * (Z(9) @ Z(4)) + -1.0 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(7)) + -0.75 * (Z(10) @ Z(1)) + -0.5 * (Z(10) @ Z(0)) + -1.25 * (Z(10) @ Z(7)) + -1.0 * (Z(1... | 14 | 12 | 3 | {"smallest_eigenvalues": [-41.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -35.0, "smallest_bitstrings": ["111011111111"], "largest_eigenvalue": 35.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.10519474634595792) q[0];
rz(pi/2) q[0];
ry(0.08500892674795721) q[1];
ry(0.08419737341434758) q[2];
ry(0.4790133066572516) q[3];
ry(-0.10636630297089594) q[4];
ry(-0.12768147542610025) q[5];
ry(0.10590310379135753) q[6];
ry(-0.24740953670909152) q[7];
ry(0.025534... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IIIIZIIIIIIZ",
"IIZIIIIIIIIZ",
"IIZIIIIZIIII",
"IIZIIZIIIIII",
"IIZIZIIIIIII",
"IZIIIIIIIIZI",
"IZIIIIIIIIIZ",
"IZIIZIIIIIII",
"IZZIIIIIIIII",
"ZIIIIIIIIIZI",
"ZIIIIIIIIIIZ",
"ZIIIIIIZIIII",
"ZIIIIZIII... | [
-0.5,
-1.25,
-1,
-0.75,
-1,
-1.25,
-0.25,
-1.25,
-1,
-0.5,
-0.75,
-0.5,
-1.25,
-1,
-1,
-0.5,
-0.75,
-1.25,
-0.5,
-1,
-0.75,
-1.5,
-0.75,
-1,
-2.25,
-0.25,
-1.75,
-0.75,
-0.5,
-1.25,
-1.25,
-0.25,
-1.75,
5.25,
-0.25,
-1.25,
-0.5,
-2.75,
-0.2... | 0.971789 | [
-0.10519474634595792,
0.08500892674795721,
0.08419737341434758,
0.4790133066572516,
-0.10636630297089594,
-0.12768147542610025,
0.10590310379135753,
-0.24740953670909152,
0.025534999578924272,
-0.08802210418400708,
-0.0642680728704555,
-0.12948777633302402,
0.1366052474183505,
-0.276616491... | {
"n_parameters": 124,
"n_qubits": 12,
"optimal_eigenvalue": -41,
"target_ratio": 0.97,
"target_value": -39.769999999999996
} | 5 |
5d4156bcf03d96be249adb6f40939435 | 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": 8, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 5}, {"weight": 17, "source": 0, "target": 4}, {"weight": 2, "source": 2, "targ... | {"states": [219, 218], "expectation_value": -20.775736776747337, "params": [[-0.035500000000000004, 0.0753], [0.0789, -0.045200000000000004]], "bitstrings": ["100100100", "100100101"], "total_optimization_steps": 10, "probabilities": [0.006225709350948555, 0.0077189553102974245], "optimization_time": 3.7486846446990967... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-89.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 173.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027343399219059546) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.027343399219059546) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.027343399219059546) q[2];
cx q[0], q[2];
rz(1.0532120961901006) q[0];
rx(1.3492354281853987) q[0];
h q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIZII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
17.5,
4,
22.5,
18,
1,
15,
14.5,
13.5,
0
] | 0.970304 | [
0.027343399219059546,
-1.6870621356962872,
1.0532120961901008,
-1.666563796078019,
-1.6741380226720057,
1.5343275272501065,
-1.6148629270271109,
0.41011511092221453,
-1.7980220800840707,
1.5537144309532576,
1.3492354281853984,
-0.08345815635865424,
0.7143590988244952,
1.4436025410262452,
... | {
"n_parameters": 31,
"n_qubits": 9,
"optimal_eigenvalue": -89.5,
"target_ratio": 0.97,
"target_value": -86.815
} | 61 |
69144809aea48cb46eae9c3950f24a15 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [3957, 3445], "expectation_value": -4.732336314597491, "params": [0.9656, 0.22490000000000002, 1.0024, 0.2503, 0.6896, 0.4655, 0.9988, 0.2336, 0.5316000000000001, 0.4692, 1.0211000000000001, 0.24780000000000002, 1.0469, 0.0529, 1.0502, -0.039400000000000004, 0.49460000000000004, -0.3466, 1.079, 0.13290000000... | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * ... | 16 | 12 | 3 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["010001010100", "010001010001", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.12397642308111168) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.12397642308111168) q[0];
cx q[1], q[0];
rz(-1.0412824378997723) q[0];
rx(-0.6835570607299903) q[0];
rz(0.6551677416149957) q[1];
rx(-0.6835570607299903) q[1];
rz(-1.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] 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 fl... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIZIIZIIIIII",
"IIZIIIIIIIIZ",
"IZIIZIIIIIII",
"IZIIIIIIIIZI",
"IZZIIIIIIIII",
"ZIIZIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.75,
0.75,
0.75,
1,
1,
1,
0.75,
0.75,
0.75,
1,
1,
1
] | 0.983631 | [
0.12397642308111168,
-1.0412824378997723,
0.6551677416149958,
-0.6835570607299902,
0.023146836072959226,
-0.5048269617904716,
0.6814886991250588,
-0.7325852103426811,
0.006386053532258323,
-0.47655542685563346,
0.11597712833781966,
-0.2813397718212035
] | {
"n_parameters": 12,
"n_qubits": 3,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
df62b430c122c4297c9377287854fb07 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [5, 13], "expectation_value": -1.6984987970434475, "params": [[[0.0021000000000000003, 0.7384000000000001], [0.6685, 0.4088], [1.0468, -0.0036000000000000003], [-0.0074, 1.5717], [0.6718000000000001, -0.0034000000000000002]], [[0.0036000000000000003, 0.7413000000000001], [0.6659, 0.41200000000000003], [1.038... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(1) + 0.0 * Z(4) + 0.5 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.25, -2.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.25, "smallest_bitstrings": ["10010", "10000"], "largest_eigenvalue": 1.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.4192363165159487) q[0];
h q[1];
ry(0.8083877277033201) q[1];
h q[2];
ry(1.5715365335575289) q[2];
cx q[2], q[1];
ry(-0.8083877277033201) q[1];
cx q[2], q[1];
ry(0.0015275764421637146) q[2];
h q[3];
h q[4];
cx q[4], q[0];
ry(0.4192363165159487) q[0];
cx q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IZIIZ",
"IZIZI",
"ZZIII",
"ZIIIZ",
"ZIIZI",
"IIZZI",
"IZIII",
"IIIIZ",
"IIIZI",
"ZIIII",
"IIZII"
] | [
-0.25,
-0.5,
-0.25,
0.5,
-0.25,
-0.5,
-0.5,
-0.25,
0.25,
0,
0.5
] | 0.976145 | [
1.5715365335575289,
1.6167754554066402,
-0.8384726330318975,
1.0454948872417675,
-1.0162029767581646,
0.5475724000797026,
-0.2924915317005682,
0.003055152884327429,
0.13920020947575934,
0.14473740227131043,
-0.1293458458327996,
-0.034238716862651924
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 8 |
3752093b82ed107b6f6f5e75324b3162 | 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": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 1, "source": 2, ... | {"states": [119, 127], "expectation_value": -0.7265113137004302, "params": [[0.0666, 0.06670000000000001, 0.06670000000000001], [-0.0473, -0.0492, -0.0592]], "bitstrings": ["10001000", "10000000"], "total_optimization_steps": 10, "probabilities": [0.0075030800754197075, 0.00790671201558345], "optimization_time": 4.8408... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2)) + 1.0 * Z(3) + -... | 1 | 8 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["10000000", "10001000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.3702539457556981) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.34420703924177587) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.34420703924177587) q[1];
cx q[3], q[1];
rz(0.3702539457556981) q[4];
cx q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IIIIZIZI",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIZZIIII",
"IIZIIIZI",
"IIZIIZII",
"IZIIIIZI",
"IZZIIIII",
"IZIIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII"
] | [
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.5,
-0.75,
-0.25,
1,
-0.25,
-0.75,
-0.75,
0,
0.75,
0,
0
] | 0.586958 | [
0.3702539457556981,
0.34420703924177587,
-0.6640265103139195,
0.9123099738412122,
-0.8635043435183892,
-0.1933114723087158,
0.9357521566745978
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 172 |
382433756329692863 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 4, 5, 7, 8], [9, 3, 6, 7], [0, 1, 5, 7, 9], [1, 2], [2, 3, 4, 6, 7, 8], [0, 2, 3, 4, 5, 6, 8], [0, 1, 3, 4, 7], [9, 5, 6]]} | {"states": [755, 757], "expectation_value": -2.0194693270452206, "params": [1.5747, 1.5746, 1.8147, 1.0586, 1.5613000000000001, 1.6422, 1.5687, 1.5687, 2.4610000000000003, 0.6613, 1.5657, 1.5697, -0.20550000000000002, 0.21130000000000002, -0.9063, -0.8794000000000001, 0.5215000000000001, 2.6352, 1.5369000000000002, 1.5... | 0.13333333333333336 * (Z(0) @ Z(1)) + 0.08333333333333334 * (Z(4) @ Z(1)) + 0.10714285714285715 * (Z(4) @ Z(0)) + 0.08333333333333334 * (Z(5) @ Z(1)) + 0.10714285714285715 * (Z(5) @ Z(0)) + 0.05714285714285714 * (Z(5) @ Z(4)) + 0.13333333333333336 * (Z(7) @ Z(1)) + 0.13333333333333336 * (Z(7) @ Z(0)) + 0.11666666666666... | 14 | 10 | 1 | {"smallest_eigenvalues": [-2.073809523809524, -2.073809523809524], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0738095238095235, "smallest_bitstrings": ["0100101000", "0100001010"], "largest_eigenvalue": 7.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.626110947875621) q[0];
rz(pi/2) q[0];
ry(1.8056848674607713) q[1];
ry(1.5545313665544371) q[2];
ry(1.4985577956554335) q[3];
ry(2.337951435164365) q[4];
ry(1.7386301193822442) q[5];
ry(-0.17152537246421992) q[6];
ry(-1.1144714859538416) q[7];
ry(0.6183479726873832... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZIIZIIII",
"IIZIZIIIII",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IZIIIZIIII",
"IZIIZIIIII",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIZIIIII",
"ZIZIIIIIII",
"IIIIIIZIZI"... | [
0.13333333333333336,
0.08333333333333334,
0.10714285714285715,
0.08333333333333334,
0.10714285714285715,
0.05714285714285714,
0.13333333333333336,
0.13333333333333336,
0.11666666666666667,
0.08333333333333334,
0.03333333333333333,
0.05714285714285714,
0.09047619047619047,
0.057142857142857... | 0.971707 | [
1.626110947875621,
1.8056848674607713,
1.5545313665544371,
1.4985577956554335,
2.337951435164365,
1.7386301193822442,
-0.17152537246421992,
-1.1144714859538416,
0.6183479726873832,
1.5664854674498567,
0.8289734745440672,
0.5367195037647651,
-0.5466583795868111,
-0.03731757168879002,
0.02... | {
"n_parameters": 37,
"n_qubits": 10,
"optimal_eigenvalue": -2.073809523809524,
"target_ratio": 0.97,
"target_value": -2.0115952380952384
} | 4 |
15f9d2e4462a51d20ebd24a0edb6e4ed | 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": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target":... | {"states": [1024, 1023], "expectation_value": -20.554678697737682, "params": [[[-0.0024000000000000002, -0.010400000000000001], [0.005200000000000001, 0.002], [0.0151, 0.0019], [0.0049, 0.002], [0.0031000000000000003, 0.002], [0.020900000000000002, 0.0021000000000000003], [0.0043, 0.0021000000000000003], [0.082, 0.0025... | -0.5 * (Z(0) @ Z(4)) + -1.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(9) @ Z(4)) + -0.75 * (Z(9) @ Z(0)) + 2.0 * (Z(2) @ Z(0)) + -1.0 * (Z(1) @ Z(6)) + -0.75 * (Z(1) @ Z(9)) + -1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * (Z(10) @ Z(4)) + -0.75 * (Z(10) @ Z(6)) + -1.25 * (Z(10) @ Z(9)) + -1.25 * (Z(10) ... | 15 | 11 | 2 | {"smallest_eigenvalues": [-21.25, -21.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -20.25, "smallest_bitstrings": ["10000000000", "10000100000"], "largest_eigenvalue": 25.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.14167061336317952) q[0];
ry(-0.16320550912126022) q[1];
ry(0.024409007616267235) q[2];
ry(-0.17396680918709134) q[3];
ry(0.19855309645931635) q[4];
ry(0.06077351382607678) q[5];
ry(0.013197392215867368) q[6];
ry(0.12813214561727349) q[7];
ry(0.04872893158925096) 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": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIZIZIIII",
"IIIIZIIIIIZ",
"IZIIIIZIIII",
"IZIIIIIIIIZ",
"IIIIIIIIZIZ",
"IIIIZIIIIZI",
"IZIIIIIIIZI",
"IIIIIIIIZZI",
"IIIIIIZZIII",
"ZIIIIIZIIII",
"ZIIIZIIIIII",
"ZZIIIIIIIII",
"ZIIIIIIIZII",
"ZIIIIIIZIII",
"IIZIIIZIIII",
"IZZIIIIIIII",
"IIZIIIIIIZI",
"IIIZIIZII... | [
-0.5,
-1.5,
-0.5,
-1.5,
-0.75,
2,
-1,
-0.75,
-1,
-1,
-1.5,
-0.75,
-1.25,
-1.25,
-1.25,
-1.25,
-0.25,
-0.75,
-1,
-0.75,
-1.5,
-1.5,
-0.75,
4.25,
-0.25,
-1,
-0.25,
-0.25,
-1.5,
0.25,
-3.5,
-1.75,
4.75,
-0.75
] | 0.970234 | [
0.14167061336317952,
-0.16320550912126022,
0.024409007616267235,
-0.17396680918709134,
0.19855309645931635,
0.06077351382607678,
0.013197392215867368,
0.12813214561727349,
0.04872893158925096,
1.481027530606795,
-0.12003526655771747,
0.036729266909734236,
-0.02217495722838597,
0.0770926485... | {
"n_parameters": 52,
"n_qubits": 11,
"optimal_eigenvalue": -21.25,
"target_ratio": 0.97,
"target_value": -20.6125
} | 44 |
fb9ff1397d3edf44525d6b8890478e28 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"sour... | {"states": [146, 210], "expectation_value": -5.026478543411148, "params": [[[0.1811, 0.2911], [0.8107000000000001, 0.0006000000000000001], [0.8055, -0.0009000000000000001], [-0.0137, 0.3899], [0.8084, 0.0023], [0.11720000000000001, 0.33490000000000003], [0.0047, -0.396], [0.8048000000000001, -0.0005], [0.6632, -0.07400... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["000101111", "100101101", "101101100"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-1.1268321505309769) q[0];
ry(0.20383610633698793) q[0];
rz(1.8614691729478725) q[0];
rz(1.7049724229727996) q[1];
ry(2.837072334703329) q[1];
rz(-0.6482389968224842) q[1];
rz(2.608374323119147) q[2];
ry(2.8431532437287452) q[2];
rz(-0.8430824922914804) q[2];
rz(1.37... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IZIIIZIII",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"IIIZIZIII",
"IIIZIIIZI",
"IZZIIIIII",
"ZIZIIIIII",
"IIZZIIIII",
"IIZIIIIZI",
"ZIIIIIZII",
"IIZIIIZII",
"IIIIZZIII",
"IIIZZIIII",
"IIZIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIZIIIII",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1,
-1.5,
-0.5,
-2.5,
-0.5,
-1
] | 0.973728 | [
-0.0455034151916125,
0.5620014235328517,
1.2552906668773325,
0.04012461162768539,
1.3607949569472855,
0.256366973140826,
0.13193909347646618,
0.44399389025158925,
1.3948344912427035,
0.4160583393594776,
-0.0156234974225241,
0.45486074760635836,
0.1981376302093838,
-0.6167873707456677,
1.... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 20 |
45c48c466e00470cf641036d69f767c9 | 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}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "... | {"states": [4092, 4095], "expectation_value": -13.02249792412469, "params": null, "bitstrings": ["000000000011", "000000000000"], "total_optimization_steps": 100, "probabilities": [0.1053689120352791, 0.38629024493817643], "optimization_time": 282.30475425720215} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -1.5 * (Z(10) @ Z(11)) + 0.5 * Z(1) + 0.5 * Z(0) ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-16.0, -16.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -15.0, "smallest_bitstrings": ["000000000000", "000000000011"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(0.19564333456382849) q[0];
h q[1];
ry(0.21805059618412898) q[1];
h q[2];
cx q[2], q[1];
ry(-0.21805059618412898) q[1];
cx q[2], q[1];
cx q[1], q[0];
ry(-0.19564333456382849) q[0];
cx q[1], q[0];
ry(1.1972176074641714) q[1];
ry(1.5336327587976182) q[2];
h q[3... | null | {"node": 12} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5706) q[6], 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... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZIZIIII",
"IIIIIZIIZIII",
"IIIIIZZIIIII",
"IIIZZIIIIIII",
"IIZZIIIIIIII",
"IIZIZIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIZIIII",
"IIIIIIIIZ... | [
-1.5,
-1.5,
0.5,
-2,
-2,
0.5,
-2,
0.5,
0.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.971845 | [
0.28627230736705844,
0.8320518835651478,
0.32742903140865054,
1.3400269373890548,
1.72611070311501,
0.43610119236825795,
1.5336327587976182,
0.39128666912765697,
0.09728929910355727,
1.1972176074641714,
-0.309693043956669,
0.22941171678183495,
-0.03979081232038632,
0.030613172403507555,
... | {
"n_parameters": 66,
"n_qubits": 12,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 114 |
2783967b1611213b3e7795654a08824b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [170, 186], "expectation_value": -2.9399980697100427, "params": [[[-0.0165, -0.0031000000000000003, 0.0013000000000000002, 0.0053], [0.6104, -0.012, 0.623, 0.009300000000000001], [-0.06330000000000001, -0.022000000000000002, 0.0079, -0.0173], [0.7148, 0.058100000000000006, 0.8273, 0.0025], [-0.373, 0.019, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(0) @ Z(2) @ Z(7)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(8) @ Z(3)) + 0.12... | 12 | 9 | 3 | {"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], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.375, "smallest_bitstrings": ["010100110", "011000101", "011000110", "010010110", "100100101", "011100100", "011001100", "100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.4476455626952967) q[0];
h q[1];
ry(1.4476455626952967) q[1];
h q[2];
ry(-0.059126059586819345) q[3];
rz(-pi) q[3];
cx q[1], q[3];
ry(0.09486143994178287) q[3];
cx q[1], q[3];
ry(0.008187482699304706) q[3];
h q[4];
ry(-1.6038831393838435) q[4];
ry(-0.0591260... | 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",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIIZZZII",
"IIZZIIIII",
"IIIIIIZIZ",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIIIIZIZ",
"IIIZIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"IZIZIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IZIZIZIII",
"ZIIZIZIII",
"ZZIIIZIII",
"ZZIZIIIII",
"ZZIZIZIII",
"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
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,
-0.25,
-0.25,
0,
0.125,
0,
-0.125,
-1,
0.125,
0.125
] | 0.996122 | [
-1.6038831393838435,
-1.4168088272662944,
1.4476455626952967,
-1.1273306452707597,
0.7286646700863632,
-0.18972287988356573,
-0.36076103541921345,
0.3420029579089602,
-0.42645300423253624,
0.2659988647826904,
-0.04303709360162987,
0.09904893961194784,
0.1611605001101052,
0.1474386520393811... | {
"n_parameters": 15,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
26ae20390ea3947855f3112b6a50021e | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 2, "target": 8}, {"source": ... | {"states": [459, 511], "expectation_value": -15.906259941281519, "params": null, "bitstrings": ["1000110100", "1000000000"], "total_optimization_steps": 100, "probabilities": [0.09339269249960067, 0.1593643443997683], "optimization_time": 372.3774070739746} | -3.5 * (Z(1) @ Z(3)) + 1.5 * (Z(5) @ Z(3)) + -4.0 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + -3.5 * (Z(7) @ Z(1)) + -3.0 * (Z(7) @ Z(5)) + -4.0 * (Z(8) @ Z(3)) + -4.5 * (Z(8) @ Z(1)) + -4.5 * (Z(8) @ Z(5)) + 1.5 * (Z(8) @ Z(7)) + -2.5 * (Z(9) @ Z(3)) + -3.0 * (Z(9) @ Z(1)) + 1.0 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(7)) + -4.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-54.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 37.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-1.6825543930345954) q[0];
rz(-0.10865320758004281) q[0];
rx(-0.03739666069136033) q[1];
rz(0.20198128088088121) q[1];
rx(-0.03739666069136033) q[2];
rz(-0.07514010171297492) q[2];
rx(-0.03739666069136033) q[3];
rz(-0.051613901215785365) q[3];
rx(-0.0373966606913603... | null | {"node": 0} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[5], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... | [
"IIIIIIZIZI",
"IIIIZIZIII",
"IIIIZIIIZI",
"IIZIIIZIII",
"IIZIIIIIZI",
"IIZIZIIIII",
"IZIIIIZIII",
"IZIIIIIIZI",
"IZIIZIIIII",
"IZZIIIIIII",
"ZIIIIIZIII",
"ZIIIIIIIZI",
"ZIIIZIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIZZII",
"IIIIIIIZZI",
"IIIIZIIZII",
"IZIIIIIZII",
"ZIIIIIIZII"... | [
-3.5,
1.5,
-4,
0.5,
-3.5,
-3,
-4,
-4.5,
-4.5,
1.5,
-2.5,
-3,
1,
0.5,
-4,
1,
0.5,
1,
-4,
0.5,
-3.5,
1.5,
-4,
0.5,
-4,
1,
-2.5,
0.5,
1.5,
-3,
-2.5,
-4.5,
0.5,
0.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.987395 | [
-1.6825543930345954,
-0.10865320758004281,
-0.03739666069136033,
0.20198128088088121,
-0.07514010171297492,
-0.051613901215785365,
-0.0025600337424048145,
0.0077511169135968325,
0.07133424152897463,
-0.16429179201040842,
0.05271308792701577,
0.039685436630387386,
-0.15948992371824058,
-0.0... | {
"n_parameters": 16,
"n_qubits": 10,
"optimal_eigenvalue": -54.5,
"target_ratio": 0.97,
"target_value": -52.865
} | 1 |
e5ad9c08c01c1ebe8aa9222d011acce6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 5, "source": 2, "target": 4}, {"capaci... | {"states": [32, 31], "expectation_value": -0.06719342338711837, "params": [[0.0318], [-0.0352]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.016252491019623783, 0.01632645898260134], "optimization_time": 1.2576103210449219} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -1.25 * (Z(2) @ Z(4)) + -1.75 * (Z(3) @ Z(4)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(5) + 0.0 * Z(4) + 1.25 * Z(2) + -0.75 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.26563194476290347) q[0];
h q[1];
ry(0.46063529140043846) q[1];
h q[2];
ry(0.4160543927876555) q[2];
h q[3];
h q[4];
cx q[4], q[2];
ry(-0.4160543927876555) q[2];
cx q[4], q[2];
ry(1.6498259376990079) q[4];
cx q[3], q[4];
ry(-1.6498259376990079) q[4];
cx q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"ZIIIZI",
"ZIIIIZ",
"IZIIZI",
"ZZIIII",
"IZIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IZIIII",
"IIIZII",
"IIZIII"
] | [
-0.25,
-1,
0.5,
-0.25,
-0.25,
-1.25,
-1.75,
0.5,
-0.25,
-0.75,
0,
1.25,
-0.75
] | 0.970728 | [
0.832108785575311,
3.2996518753980157,
0.9212705828008769,
0.03287511214956562,
3.394820406287191,
-2.3713296475445462,
0.9130008242406561,
-0.23955336433664093,
-0.5312638895258069,
0.3015182015816523,
-0.7704132928114164,
0.6044840534319791,
-0.026283715182854293,
-0.836787649712148,
-... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 236 |
2544224466367493703 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[2, 6], [1, 6], [9, 6], [8, 1], [0, 4], [8, 7], [1, 4], [0, 10], [9, 5], [4, 5], [2, 3], [8, 4], [0, 2], [4, 6], [0, 3], [9, 3], [0, 8], [0, 1], [10, 5], [2, 4], [6, 7], [9, 2], [3, 5], [8, 3]]} | {"states": [715, 1332], "expectation_value": -0.31249508246956115, "params": [[-0.0844], [0.0804]], "bitstrings": ["10100110100", "01011001011"], "total_optimization_steps": 10, "probabilities": [0.000695831654555073, 0.000695831654555073], "optimization_time": 1.9556910991668701} | 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["01011001011", "10100110100"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[2];
rz(-0.4634799441672696) q[2];
cx q[6], q[2];
cx q[6], q[1];
rz(-0.4634799441672696) q[1];
cx q[6], q[1];
h q[7];
h q[8];
cx q[1], q[8];
rz(-0.4634799441672696) q[8];
cx q[1], q[8];
h q[9];
cx q[6], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[6], q[2];
rz(x0) q[2];
cx q[6], q[2];
cx q[6], q[1];
rz(x0) q[1];
cx q[6], q[1];
cx q[6], q[9];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIZII",
"IIIIZIIIIZI",
"IZIIZIIIIII",
"IZIIIIIIZII",
"IIZIIIIIIZI",
"IIIIIIIIZIZ",
"IIIIIIIIIZZ",
"IIZIIIIIIIZ",
"IIIIZIZIIII",
"IIIIIIZIZII",
"IIIIIIZIIZI",
"IIZIIIZIIII",
"IIIIIIZIIIZ",
"IIIZZIIIIII",
"IIZZIIIIIII",
"ZIIIIIIIIIZ",
"IZIIIZIIIII",
"IIIIIZZIIII",
"ZIIIIZIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.394903 | [
-0.4634799441672696,
-1.7375898833716395e-8,
0.6603840750224944
] | {
"n_parameters": 3,
"n_qubits": 11,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 107 |
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": [1670, 1669], "expectation_value": -95.00684780874874, "params": [[[0.38780000000000003, -0.0034000000000000002], [1.0638, 0.011000000000000001], [0.1265, 0.0143], [1.0705, 0.055600000000000004], [0.0057, 0.0536], [0.1154, 0.0056], [0.0601, 0.0032], [0.154, 0.0659], [0.0037, 0.387], [0.9783000000000001, 0.48... | 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) ... | 15 | 11 | 3 | {"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 |
ffad3b964ead217a06cbfc18be3f05e0 | 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": 11, "source": 0, "target": 3}, {"weight": 19, "source": 0, "target": 6}, {"weight": 11, "source": 1, "tar... | {"states": [397, 236], "expectation_value": -24.343619271691484, "params": [[0.040600000000000004, -0.0027, 0.0119, 0.0086], [-0.0799, -0.0473, -0.0591, -0.0517]], "bitstrings": ["001110010", "100010011"], "total_optimization_steps": 10, "probabilities": [0.011912911503446545, 0.01859189960064164], "optimization_time":... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(3)) + 10.0 * Z(1) + 7.5 * Z(0) + 14.0 * Z(2) + 5.5 * Z(3) + 5.... | 1 | 9 | 4 | {"smallest_eigenvalues": [-70.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 121.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.0557124833227797e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.0557124833227797e-08) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-1.0557124833227797e-08) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-1.0557124833227797e-08) q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
7.5,
14,
5.5,
5.5,
11,
10,
3,
0.5
] | 0.771429 | [
-1.0557124833227797e-8,
-1.5707963643738432,
1.5707963617189826,
-1.570796307281642,
-1.5707963861865957,
-1.570796298809207,
1.570796328010783,
1.5707964018973435,
1.570796323776294
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -70,
"target_ratio": 0.97,
"target_value": -67.89999999999999
} | 263 |
c50c35688e3077b743569b2e8fe6823e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"sour... | {"states": [272, 280], "expectation_value": -6.411719018993201, "params": [0.5938, 0.5969, 0.0555, 0.0575, 0.0656, 0.0567, 0.004, 0.008, 0.5962000000000001, 0.6007, 0.4918, 0.48600000000000004, 0.002, 0.0044, -0.0086, -0.001, 0.0027, -0.0016, 0.5959, 0.6032000000000001, 0.056100000000000004, 0.0494, 0.0575, 0.065200000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) ... | 13 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -6.0, "smallest_bitstrings": ["001101111", "011110011", "010101111", "111100110", "011100111"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(2.4820731009839205) q[0];
rz(0.0018657759709204969) q[0];
ry(0.1772162266925203) q[1];
rz(-0.2608450790332385) q[1];
cx q[1], q[0];
ry(-0.045949280414847034) q[1];
rz(-0.1042630913510687) q[1];
ry(0.5532072258558237) q[2];
rz(0.024263923116363745) q[2];
ry(0.07773198... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IZIIIZIII",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"ZIIIIIZII",
"IIIIIIZZI",
"IIIZIZIII",
"IZIZIIIII",
"IIIZIIIZI",
"IIIZIIZII",
"ZIZIIIIII",
"IIZIIIIZI",
"IIZIIIZII",
"IIIIZZIII",
"IZIIZIIII",
"IIZIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1
] | 0.971331 | [
2.4820731009839205,
0.0018657759709204969,
0.1772162266925203,
-0.2608450790332385,
0.5532072258558237,
0.024263923116363745,
0.07773198947119514,
-0.48195402259473696,
-0.05185934157062439,
-0.2824137899881979,
0.020640013144125516,
0.049001659844736686,
1.5513908854430367,
-0.01980506831... | {
"n_parameters": 28,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 15 |
c1a7889649f2eea9d14476ba3ced04aa | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [374, 310], "expectation_value": -76.60289071939442, "params": [[[0.8938, 0.0039000000000000003], [0.6921, -0.0043], [-0.0755, 0.0094], [0.4016, -0.13090000000000002], [0.5226000000000001, 0.7077], [0.3241, 0.6873], [0.0835, 0.4451], [-0.23140000000000002, 0.8976000000000001], [0.2414, 0.6216], [0.7619, -0.1... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(9) @ Z(4)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(8) @ Z(9)) + 7.0 * (Z(7) @ Z(9)) + 7.0 * (Z(7) @ Z(8)) + 2.5 * Z(0) + 5.5 * Z(1) + 5.0 * Z(3) + 9.5 * Z(4) + -4.5 * Z(6) + 1.5 * Z(5) + 8.0 * Z(9) + 14.0 * Z(8) + 9.0 * Z(7) + -11... | 15 | 10 | 4 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["1011001001"], "largest_eigenvalue": 131.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.0239490888101894) q[0];
ry(0.7501920932071312) q[1];
ry(-0.045220142270114824) q[2];
ry(0.06246359549348662) q[3];
ry(0.8124569761176504) q[4];
ry(0.5391843729153549) q[5];
ry(-0.08689365887377498) q[6];
ry(-0.28172538980210865) q[7];
ry(0.21268442065130075) q[8];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIZZIIIII",
"ZIIIIZIIII",
"IZIIIIIIIZ",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IZZIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIZIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"IIIIIIIZII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
2.5,
5.5,
5,
9.5,
-4.5,
1.5,
8,
14,
9,
-11.5
] | 0.970915 | [
1.0239490888101894,
0.7501920932071312,
-0.045220142270114824,
0.06246359549348662,
0.8124569761176504,
0.5391843729153549,
-0.08689365887377498,
-0.28172538980210865,
0.21268442065130075,
0.9998934273137478,
0.06441829117898976,
0.021573512398006017,
0.04662355096868838,
0.048057708878264... | {
"n_parameters": 78,
"n_qubits": 10,
"optimal_eigenvalue": -89,
"target_ratio": 0.97,
"target_value": -86.33
} | 66 |
a61196a27e9d77181b30595d54711c88 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "s... | {"states": [0, 1], "expectation_value": -17.078545610539916, "params": [0.0004, -0.10070000000000001, 0.002, -0.09620000000000001, 0.0025, -0.1409, 0.0059, -0.1531, 0.0026000000000000003, -0.1517, 0.0054, -0.14100000000000001, 0.0059, -0.1368, 0.0009000000000000001, -0.1476, 0.0032, -0.14300000000000002, 0.0044, -0.150... | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + -1.0 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(0)) + -1.75 * (Z(7) @ Z(3)) + 2.25 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(8)) + -1.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(6) ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7593365234290921) q[0];
h q[1];
ry(-1.5186730468581842) q[1];
h q[2];
ry(-1.5186730468581842) q[2];
ry(-0.02606164722101131) q[3];
rz(-pi) q[3];
ry(-7.955699003038092e-08) q[4];
rz(-pi) q[4];
ry(-0.0260615986376298) q[5];
rz(-pi) q[5];
h q[6];
ry(-1.518673... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"IZIIIZIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIIIZIZI",
"ZIIIIIIZI",
"IIIZIIZII",
"IZIZIIIII",
"IIIZIIIZI",
"IIZIIIZII",
"IIZIIZIII",
"IIZIIIIZI",
"IIZZIIIII",
"IZIIZIIII",
"IIIIZIIZI",
"IIIZZIIII",
"IIIIIIZII",
"... | [
-0.5,
-1.25,
-1.25,
-1,
-0.25,
-1.75,
2.25,
-0.25,
-0.75,
-0.75,
-1.25,
-0.5,
-0.5,
-1,
-1.25,
-0.75,
-1.25,
-0.5,
-1,
-1,
1.5,
-0.25,
-0.75,
-2.25,
1.25,
-0.75,
-2,
1.75,
1.5
] | 0.963627 | [
-1.5186730468581842,
1.570796401099004,
-0.8114599009084138,
-1.5707961460296473,
4.756531504520507e-8,
-0.05212326543140261,
-0.052123362598165635,
-2.0241651814443675e-7
] | {
"n_parameters": 8,
"n_qubits": 9,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 197 |
451f2781d0b517cc8e7245db9d9e73f5 | 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": 6, "source": 0, "target": 1}, {"weight": 13, "source": 1, "target": 8}, {"weight": 14, "source": 1, "target": 7}, {"weight":... | {"states": [430, 426], "expectation_value": -88.22943873195156, "params": [0.6976, 0.12840000000000001, 0.7001000000000001, 0.078, 0.47190000000000004, -0.1252, 0.4642, 0.0849, 0.684, 0.009000000000000001, 0.676, 0.045000000000000005, 0.10250000000000001, -0.1545, 0.3396, -0.0053, 0.6913, -0.0046, 0.6849000000000001, 0... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(9) @ Z(8)) + 18.0 * Z(1) ... | 6 | 10 | 2 | {"smallest_eigenvalues": [-96.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.5, "smallest_bitstrings": ["1001010101"], "largest_eigenvalue": 169.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.0773115048262372) q[0];
rz(1.585333698742608) q[0];
rx(0.9091242675459082) q[1];
rz(1.7416550197701772) q[1];
rx(0.8228702302611919) q[2];
rz(1.7450952907083757) q[2];
rx(-0.066995084357704) q[3];
rz(1.0964013899153588) q[3];
rx(0.513643267595122) q[4];
rz(1.41889... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIZZIIIII",
"IIZIIIIIZI",
"IIZIIZIIII",
"IIZZIIIIII",
"IZIIIIIZII",
"IZIZIIIIII",
"IZZIIIIIII",
"ZIIIIIIZII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIIIZIII",
"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,
18,
3,
17.5,
15,
-3,
11,
-2,
14.5,
16.5,
2
] | 0.971806 | [
1.077311504826237,
0.01453737194771159,
0.9091242675459084,
0.17085869297528056,
0.822870230261192,
0.1742989639134788,
-0.066995084357704,
-0.4743949368795376,
0.5136432675951221,
-0.15190468158444453,
-0.16597826941144472,
-0.09494567751176866,
0.8874741083959795,
0.086835070571428,
0.... | {
"n_parameters": 100,
"n_qubits": 10,
"optimal_eigenvalue": -96.5,
"target_ratio": 0.97,
"target_value": -93.605
} | 102 |
-562739684955873209 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 2, 3], [0, 4], [1, 2, 3]]} | {"states": [28, 26], "expectation_value": -0.06284354366594638, "params": [[-0.11570000000000001], [0.11570000000000001]], "bitstrings": ["00011", "00101"], "total_optimization_steps": 20, "probabilities": [0.034586055907616556, 0.03458605590761656], "optimization_time": 1.1345207691192627} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.3333333333333333 * Z(2) + 0.16666666666666663 * Z(0) + 0.3333333333333333 * Z(3) + 0.0 * Z(4) + 0.166666666... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.1666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.1666666666666665, "smallest_bitstrings": ["00101"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
ry(-0.26116125135550317) q[2];
cx q[1], q[2];
ry(0.26116125135550317) q[2];
cx q[1], q[2];
ry(0.3703755657815579) q[1];
ry(-0.2803148978174284) q[2];
h q[3];
ry(1.4660731929028001) q[3];
h q[4];
ry(-0.380246080628472) q[4];
cx q[0], q[4];
ry(0.38... | 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x1) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(x0) q[3];
cx q[0... | null | {"circuits": [], "gradients": []} | [
"IIZIZ",
"IZZII",
"IZIIZ",
"ZIIIZ",
"IIZZI",
"IZIZI",
"IIZII",
"IIIIZ",
"IZIII",
"ZIIII",
"IIIZI"
] | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666663,
0.3333333333333333,
0,
0.16666666666666666
] | 0.973265 | [
1.4660731929028001,
-0.760492161256944,
0.7090617696785022,
-0.4724520239301531,
0.7471179314466815,
-0.27710506220106496,
-0.5223225027110063,
-0.5606297956348568,
0.3703755657815579,
0.17660659974863097,
-0.4848547304816213,
0.459725118768273,
0.056718268876135236,
-0.27235751341700115,
... | {
"n_parameters": 24,
"n_qubits": 5,
"optimal_eigenvalue": -1.1666666666666667,
"target_ratio": 0.97,
"target_value": -1.1316666666666666
} | 7 |
df6b0a55435c2e6f48611bfeaa2a8959 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "so... | {"states": [55, 47], "expectation_value": -5.998211351150566, "params": null, "bitstrings": ["11001000", "11010000"], "total_optimization_steps": 43, "probabilities": [0.06462233070086883, 0.9336041138231552], "optimization_time": 50.803887605667114} | 0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.5 ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["10100000", "11001000", "11010000"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.023782534509358612) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(-0.2362354194851212) q[1];
cx q[5], q[1];
cx q[0], q[1];
rz(-0.2362354194851212) q[1];
cx q[0], q[1];
cx q[5], q[2];
rz(-0.2362354194851212) q[... | null | {"source": 0, "sink": 4} | {"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[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[... | [
"IIZIIIIZ",
"IIZIIIZI",
"IIIIIIZZ",
"IIZIIZII",
"IIIIIZIZ",
"IIIIIZZI",
"IZZIIIII",
"IZIIIIZI",
"ZIZIIIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIIZIZI",
"IZIIZIII",
"ZIIIZIII",
"IIIZIIZI",
"IZIZIIII",
"ZIIZIIII",
"IIIZZIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IZIIIII... | [
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
1.5,
-0.5,
0.5,
0,
2,
2,
-0.5,
-0.5
] | 0.690016 | [
0.023782534509358612,
-0.2362354194851212,
0.0030841673081000017,
-1.5267108229648716,
-1.5111620816372704,
-1.5332934594005045,
1.9304385541401896
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 207 |
4700601e722e5f0a0c40acc2968ffc97 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [21, 49], "expectation_value": -0.24586247247174062, "params": [[0.0625, 0.0413, 0.041800000000000004, 0.0733], [-0.07150000000000001, -0.045000000000000005, -0.028200000000000003, -0.048400000000000006]], "bitstrings": ["101010", "001110"], "total_optimization_steps": 10, "probabilities": [0.021683746485257... | 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(2) @ Z(3)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(5) @ Z(3)) ... | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.25, "smallest_bitstrings": ["100011", "100110", "101010", "010110", "001110"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6706529503752435) q[0];
h q[1];
ry(1.4146339409758935) q[1];
h q[2];
ry(-0.5581047246583587) q[2];
h q[3];
cx q[3], q[0];
ry(0.6706529503752435) q[0];
cx q[3], q[0];
ry(-0.44205081723318096) q[0];
ry(0.9054299760275487) q[3];
rz(-pi) q[4];
ry(-0.0725877717... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZIIZI",
"ZIIIZI",
"ZZIIII",
"ZZIIZI",
"IIZZII",
"ZIIZII",
"ZIZIII",
"ZIZZII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.25,
0,
0,
-0.25,
-0.75,
0
] | 0.991225 | [
-1.6704548362417395,
-1.341305900750487,
1.4146339409758935,
0.973194262912994,
-1.1162094493167174,
0.6844911620078096,
-0.48532124205514987,
0.5740763702252564,
0.27498873776268346,
-0.23622283509959657,
0.44187762803947833,
-0.4116559642671688,
0.5069271119789323,
-0.18155338475627356,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
9994d9c0864e8ab88d6d9169e088b46e | 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": 7, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 5}, {"weight": 11, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 6}, {... | {"states": [237, 122], "expectation_value": -23.85722838057859, "params": null, "bitstrings": ["00010010", "10000101"], "total_optimization_steps": 100, "probabilities": [0.0758429124261387, 0.08437980097930395], "optimization_time": 149.5247941017151} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(5) @ Z(6)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 11.5 * Z(0) + 14.0 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 143.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.11596378006153223) q[0];
rz(0.284417285133328) q[0];
rx(0.9079841915554171) q[1];
rz(0.024714267906631924) q[1];
rx(0.7975047609449103) q[2];
rz(0.10494849557346886) q[2];
rx(0.9341338115562028) q[3];
rz(-0.00661968580596823) q[3];
rx(0.9079841915554171) q[4];
rz(... | 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(7.7632) 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",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZZIII",
"IZIIIZII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
11.5,
14,
10,
17.5,
13.5,
1,
10.5
] | 0.984616 | [
-0.11596378006153223,
0.3017390316030879,
0.9079841915554171,
0.024714267906631924,
0.7975047609449103,
0.10494849557346886,
0.9341338115562028,
-0.00661968580596823,
0.06657420471963857,
-0.0771816746141428,
0.4297982157077295,
0.6553221677779906,
0.11368518825262512,
-0.01430271979699142... | {
"n_parameters": 91,
"n_qubits": 8,
"optimal_eigenvalue": -65.5,
"target_ratio": 0.97,
"target_value": -63.535
} | 12 |
ae89ed3cd3a3daf867ac1e5c76cb7bf2 | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [19, 37], "expectation_value": -0.27223217162038404, "params": [[0.0655, 0.0514], [-0.0719, -0.044000000000000004]], "bitstrings": ["1101100", "1011010"], "total_optimization_steps": 10, "probabilities": [0.00990222464542658, 0.009902224645426588], "optimization_time": 2.8805348873138428} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(6) + -0.5 * Z(1) + -0.5 * Z(5) + -1.0 * Z(4) + -0.5 * Z(3) | 1 | 7 | 2 | {"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": ["0011011", "0110101", "1100101", "0010111", "1011010", "1101100"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.04487692059288387) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.04487692059288387) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.04487692059288387) q[2];
cx q[0], q[2];
rz(-1.407887416700282) q[0];
rx(-1.579746504261589) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
c... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"ZIIIIIZ",
"IIIIZZI",
"IZIIIZI",
"IIZIZII",
"IZZIIII",
"ZIIZIII",
"IIZZIII",
"IIIIZII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IZIIIII",
"IIZIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5
] | 0.980299 | [
0.04487692059288387,
1.674742329328149,
-1.4078874167002817,
1.524449490178519,
1.4439077735402985,
1.3531238677988078,
-1.3904882206449123,
1.365368687689991,
-1.5824772102595346,
-1.579746504261589,
0.6397278070183063,
0.013864599543888398,
-1.8275840771615182,
1.1558042727426383,
0.12... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -56,
"target_ratio": 0.97,
"target_value": -54.32
} | 48 |
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