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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
06632fbf1ad4a3ea92a14b4d32f5e5e0 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [43605, 21930], "expectation_value": -0.09008700494213447, "params": [[-0.1526], [0.15810000000000002]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 20, "probabilities": [2.1784441607409817e-05, 2.178444160740982e-05], "optimization_time": 17.424582719802856} | 0.25 * (Z(0) @ Z(1)) + 0.00025000000000000006 * (Z(2) @ Z(0)) + 0.00025000000000000006 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0011250000000000001 * (Z(4) @ Z(0)) + 0.00012500000000000003 * (Z(4) @ Z(2)) + -0.0011250000000000001 * (Z(5) @ Z(1)) + 0.00012500000000000003 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.021249999999972], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0212499999999496, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.011999999999869} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(0.3928669941292584) q[0];
rz(-0.14397745053709302) q[0];
ry(0.0272914074880476) q[1];
ry(0.6126252575880811) q[2];
ry(0.01178704304983049) q[3];
ry(0.8440338268222962) q[4];
ry(0.5646062996366539) q[5];
ry(0.5820144780263184) q[6];
ry(-0.040131764780526206) q[7];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
0.00025000000000000006,
0.00025000000000000006,
0.25,
-0.0011250000000000001,
0.00012500000000000003,
-0.0011250000000000001,
0.00012500000000000003,
0.25,
-0.0010000000000000002,
-0.0010000000000000002,
0.00012500000000000003,
-0.0010000000000000002,
-0.0010000000000000002,
0.0001... | 0.977706 | [
0.3928669941292584,
0.0272914074880476,
0.6126252575880811,
0.01178704304983049,
0.8440338268222962,
0.5646062996366539,
0.5820144780263184,
-0.040131764780526206,
-0.010281148254005924,
0.6373870539601993,
-0.16168989454588886,
0.5296304800742078,
-0.037295837382054865,
0.4577862531132489... | {
"n_parameters": 186,
"n_qubits": 16,
"optimal_eigenvalue": -2.021249999999955,
"target_ratio": 0.97,
"target_value": -1.9606124999999561
} | 1 |
be5567089ea669cee1a7aa408c6e9375 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [44, 21], "expectation_value": -0.20743443315270482, "params": [[0.0694, -0.06430000000000001], [-0.0809, 0.0258]], "bitstrings": ["1010011", "1101010"], "total_optimization_steps": 10, "probabilities": [0.008960180041029293, 0.008972013887594641], "optimization_time": 2.786820888519287} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(1) + -1.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["0110110", "1101010", "1010011", "0010111", "1110010"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(3.4051761076440845e-08) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(3.4051761076440845e-08) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(3.4051761076440845e-08) q[3];
cx q[2], q[3];
rz(-1.5707962957304016) q[2];
rx(-1.5707962257900... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIIIZ",
"IIIIZZI",
"IZZIIII",
"IZIIIZI",
"ZIIIIZI",
"ZZIIIII",
"IIIZZII",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-1,
-1.5,
-0.5,
-0.5
] | 0.75 | [
3.4051761076440845e-8,
-1.570796295730401,
1.5715949956260666,
-1.5707962379665277,
-1.5707962257900674
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 224 |
e4c65d82be0d39aa5a43dd21b25413c9 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [9, 52], "expectation_value": -0.27475307485566525, "params": [[-0.0397, -0.062], [0.0395, 0.0635]], "bitstrings": ["110110", "001011"], "total_optimization_steps": 10, "probabilities": [0.018716909691293512, 0.019167467640642005], "optimization_time": 2.4062588214874268} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -1.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001011", "101001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3247553284692968) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.3247553284692968) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.3247553284692968) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.3247553284692968) q[3];
cx q[2], q[3];
h ... | 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"ZIIIIZ",
"IIIZZI",
"ZIIIZI",
"IIZZII",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-0.5,
-1,
-0.5,
-0.5
] | 0.974813 | [
0.3247553284692968,
-1.3219445212436283,
-0.42592128972119486,
-1.3026339243679061,
-0.9080909678550849,
-1.1188009159857968,
0.06199065936474893,
-1.7911626886341159,
0.15201918715687204,
0.008349512126035533,
-0.1740273346787747,
-0.13593270342756683,
0.4345867108068353,
-0.2043119716458... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 68 |
ab6c3b5f5fb942389ddb1a219cbf9526 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [176, 177], "expectation_value": -6.006390163272433, "params": [[[3.1436, 0.0077], [-0.0018000000000000002, 0.0013000000000000002], [3.1445000000000003, 0.0031000000000000003], [3.1445000000000003, 0.00030000000000000003], [-0.0027, 0.0008], [0.0027, 0.0017000000000000001], [-0.0022, 0.005], [1.5836000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["01001110"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(3.157863478086575) q[0];
rz(0.11381213650374156) q[0];
rx(0.0034041355964976316) q[1];
rz(-0.0952389500344855) q[1];
rx(2.9815711748475446) q[2];
rz(0.05733255886097522) q[2];
rx(2.9815711748475446) q[3];
rz(0.13013056697226089) q[3];
rx(0.13088640468160753) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIZIIIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"ZIIIIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIZIIZII",
"IZIIIZII",
"IIZZIIII",
"ZIIZIIII",
"IIIZIZII",
"IZIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-2,
-1.5,
-1,
-1,
0
] | 0.979416 | [
3.157863478086575,
0.11381213650374156,
0.0034041355964976316,
-0.0952389500344855,
2.9815711748475446,
0.05733255886097522,
0.13013056697226089,
0.13088640468160753,
0.3218685079507244,
-0.004386050182820261,
-0.18963084716393275,
0.03121717153281521,
0.04210324959734179,
2.47376264125825... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 7 |
d7a525ce4c2e3aa682dbfbc5ee640032 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [25, 19], "expectation_value": -3.9890654178560507, "params": null, "bitstrings": ["1100110", "1101100"], "total_optimization_steps": 31, "probabilities": [0.060236228906038886, 0.8645372940585687], "optimization_time": 32.80052304267883} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + 0.0 * Z(6) + -0.5 * Z(5) + 0.0 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["0111100", "1100110", "0110110", "1101100", "1110010"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027051847789835787) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.027051847789835787) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.027051847789835787) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.027051847789835787) q[3];
cx q[1], ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"ZIIIIZI",
"IZZIIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IZIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1.5,
0,
-0.5,
0
] | 0.976706 | [
0.027051847789835787,
-0.03206344691167204,
1.6851099918626093,
1.7238436867176876,
-1.4190839315479138,
-1.6226342532152522,
1.4767707881526164
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 75 |
f5111a52f17f533e17f8c384d135402e | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 6, "source": 0, "t... | {"states": [175, 174], "expectation_value": -73.33422492646137, "params": [0.38020000000000004, 0.39840000000000003, 1.0696, 0.18530000000000002, 0.0095, 0.5429, 1.0705, 0.1693, 0.4697, 0.3642, 1.069, -0.0097, 1.0657, 0.0045000000000000005, 1.064, -0.1451, 0.4812, -0.30360000000000004, 0.38580000000000003, 0.4125000000... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(0)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(8)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(8)) + 4.5 * (Z(7) ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.5, "smallest_bitstrings": ["101010001"], "largest_eigenvalue": 178.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.007212776099781059) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.007212776099781059) q[2];
cx q[1], q[2];
rz(0.780813702981237) q[2];
rx(1.5721006595659317) q[2];
h q[3];
cx q[1], q[3];
rz(-0.007212776099781059) q[3];
cx q[1], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"ZIIZIIIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIZIIIIII",
"IZIIZIIII",
"ZZIIIIIII",
"IZZIIIIII",
"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,
19,
7.5,
0,
19,
9,
10.5,
9,
23.5,
13.5
] | 0.97105 | [
-0.007212776099781059,
-1.3592743259066122,
1.6537158779789607,
0.7808137029812368,
1.67390823835905,
-1.2343604044739556,
-1.5525304193852054,
-1.4452878913400449,
1.572100659565932,
-1.2309330465006443,
-1.5734411619713957,
0.08174358873233034,
-0.2046395037677557,
-1.0212890304073738,
... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -82.5,
"target_ratio": 0.97,
"target_value": -80.02499999999999
} | 58 |
7945763489387568902 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 3, 4, 7], [2, 7], [0, 1, 4], [0, 2, 3], [5, 7], [0, 6, 7], [2, 5], [1, 3, 4, 5], [4, 5, 6], [8, 5]]} | {"states": [428, 314], "expectation_value": -0.5041890324356906, "params": [[0.18050000000000002], [-0.187]], "bitstrings": ["001010011", "011000101"], "total_optimization_steps": 20, "probabilities": [0.0032569023067759153, 0.003300831090346632], "optimization_time": 4.431843280792236} | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(3... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.8333333333333326], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.7499999999999996, "smallest_bitstrings": ["011000101"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(0.1371849328776105) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(0.1371849328776105) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(1.1588586368447125) q[4];
cx q[1], q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[7];
rz(-0.05527106... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZI",
"IIIIZZIII",
"IIIIZIIZI",
"IZIIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IIIIIZZII",
"IZIIIIZII",
"IIIIIZIIZ",
"IIIIIIIZZ",
"IIIIZIIIZ",
"IZIIIIIIZ",
"IIIIIIZIZ",
"IIIZIZIII",
"IIIZIIIZI",
"IIIZZIIII",
"IZIZIIIII",
"IIIZIIZII",
"IIZIZIIII",
"IZZIIIIII",
"IIZIIIIIZ",
"... | [
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.083333333... | 0.584515 | [
0.1371849328776105,
1.1588586368447125,
-0.055271062966502776,
0.6270397060668675,
0.31573273953332975,
1.132766897916442,
-0.39586315092087104,
0.10404648910483945,
-0.11245383534896602,
-0.8032882161148331
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -2.8333333333333326,
"target_ratio": 0.97,
"target_value": -2.7483333333333326
} | 277 |
-1082198652448256105 | hypermaxcut | qaoa | {"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": [23, 86], "expectation_value": -0.059252053145543625, "params": [[0.0722], [-0.061500000000000006]], "bitstrings": ["1101000", "0101001"], "total_optimization_steps": 10, "probabilities": [0.008422156690068279, 0.008627700767837093], "optimization_time": 0.7676775455474854} | 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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[1];
rz(x0) q[... | null | {"circuits": [], "gradients": []} | [
"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 |
f14d8e0f71f0ff6db28f36244fe0a670 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "ta... | {"states": [200, 202], "expectation_value": -5.510274500062044, "params": [[[0.7898000000000001, -0.0034000000000000002], [0.7834, -0.0029000000000000002], [-0.0041, 0.6317], [-0.0041, 0.4848], [0.7881, 0.0031000000000000003], [0.0006000000000000001, -0.5473], [0.39640000000000003, -0.019], [-0.0032, 0.4676]], [[0.7854... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(7) + -1.0 * Z(1) + ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["00110101"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(0.018778954864051567) q[0];
ry(3.0043891170824466) q[0];
rz(3.1058222888121243) q[0];
rz(3.0054446339327034) q[1];
ry(2.96333406711641) q[1];
rz(-0.32778709401564265) q[1];
rz(1.562680520848934) q[2];
ry(0.14095240615058585) q[2];
rz(0.42035084958293023) q[2];
rz(-1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIZIIIZI",
"IIZIZIII",
"IZIIIZII",
"ZZIIIIII",
"IZIIZIII",
"IZZIIIII",
"IIZZIIII",
"IIIIIZII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"IIIZIIII"
] | [
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,
-0.5,
-1,
-1,
-1,
-1.5,
-1.5,
0
] | 0.972784 | [
1.0130119704577456,
-0.05498628099168626,
0.7325136895327549,
-0.040089334354408486,
0.01994578757067393,
0.6266845072197199,
0.5819132881078543,
0.6241942222924302,
-0.021513679055639605,
-0.1046252254971172,
-0.5849643147657522,
0.6370969711548164,
-0.1086076517915314,
-0.152387767409084... | {
"n_parameters": 57,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 9 |
04943d12be9331cc9245456617bb8845 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "source": 3, "target": 2}, {"capaci... | {"states": [476, 958], "expectation_value": -24.02738615215402, "params": null, "bitstrings": ["1111000100011", "1110001000001"], "total_optimization_steps": 100, "probabilities": [0.15696165053451847, 0.42690998683539116], "optimization_time": 432.626610994339} | -1.0 * (Z(10) @ Z(3)) + -2.0 * (Z(11) @ Z(3)) + 2.0 * (Z(11) @ Z(10)) + 2.0 * (Z(4) @ Z(5)) + -1.0 * (Z(0) @ Z(5)) + -0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(10)) + -1.0 * (Z(6) @ Z(11)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 1.0 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(10))... | 1 | 13 | 2 | {"smallest_eigenvalues": [-30.5, -30.5, -30.5, -30.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -30.25, "smallest_bitstrings": ["1111000010100", "1110000010000", "1111001000101", "1110001000001"], "largest_eigenvalue": 79.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(2.756448642387936) q[4];
rz(-pi) q[5];
ry(-1.4071951647766399) q[5];
h q[6];
ry(1.5747373492012693) q[6];
cx q[6], q[5];
ry(0.47977392536284186) q[5];
cx q[6], q[5];
ry(-0.018776860890256552) q[5];
cx q[0], q[5];
ry(0.01877686... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nry(-2.4156) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = mea... | [
"IIZIIIIIIZIII",
"IZIIIIIIIZIII",
"IZZIIIIIIIIII",
"IIIIIIIZZIIII",
"IIIIIIIZIIIIZ",
"IIIIIIIIZIIIZ",
"IIIIIIZIIZIII",
"IIZIIIZIIIIII",
"IZIIIIZIIIIII",
"IIIIIIZZIIIII",
"IIIIIIZIZIIII",
"IIIIIIZIIIIIZ",
"IIIIIZIIIZIII",
"IIZIIZIIIIIII",
"IZIIIZIIIIIII",
"IIIIIZIZIIIII",
"IIIIIZIIZII... | [
-1,
-2,
2,
2,
-1,
-0.5,
0.5,
-0.5,
-1,
1,
0.5,
-0.5,
1,
-1,
-2,
2,
1,
-1,
2,
1,
0.5,
-0.5,
0.5,
1,
2,
1,
-1,
1,
2,
1,
-0.5,
0.5,
1,
-0.5,
-1,
-0.25,
-1,
1,
2,
11,
5.5,
-4.125,
4,
8,
4,
8,
0,
-0.75,
-0.375
] | 0.971122 | [
-2.4982175662086945,
-1.2959791973212518,
10.693477959740283,
2.756448642387936,
1.5747373492012693,
-0.9595478507256837,
-0.037553721780513104,
-0.09233073908691143,
0.3924196282534974,
0.01592015931431091,
0.17530178727681012,
-0.09689234899048765,
0.07372477176280937,
0.0220347731740424... | {
"n_parameters": 84,
"n_qubits": 13,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 96 |
b37a187c731adb427065940c6b9da462 | 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": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 9}, {"capacity": 1, "source": 1, "target":... | {"states": [0, 256], "expectation_value": -12.331450050995297, "params": [-0.0015, 0.0027, 0.0025, 0.9881000000000001, 1.6116000000000001, 0.0001, 0.0025, 0.0079, -0.0027, 0.0094, 0.0023, 0.0059, 0.0024000000000000002, 0.0103, 0.0022, 0.0078000000000000005, 0.0027, 0.004, 0.0023, 0.001, 0.0026000000000000003, 0.0045000... | -0.75 * (Z(0) @ Z(7)) + -0.25 * (Z(10) @ Z(0)) + -0.25 * (Z(1) @ Z(10)) + 1.25 * (Z(2) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(7)) + -1.0 * (Z(8) @ Z(7)) + -1.0 * (Z(8) @ Z(3)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(4) @ Z(10)) + -0.75 * (Z(5) @ Z(10)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * ... | 4 | 11 | 1 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 12.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.19002788079945918) q[0];
rz(-0.0015934389096496915) q[0];
rx(-0.15119111947634767) q[1];
rz(0.14977802280520672) q[1];
cx q[1], q[0];
rz(0.1993389060134004) q[0];
cx q[1], q[0];
rz(-1.6465678436609588) q[0];
ry(0.36388552249318046) q[0];
rz(1.9786779218184254) q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIZIIIIIIZ",
"ZIIIIIIIIIZ",
"ZIIIIIIIIZI",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIZIIIZIII",
"IIZZIIIIIII",
"IIZIIIIZIII",
"IIIZIIZIIII",
"ZIIIIIZIIII",
"ZIIIIZIIIII",
"IIIIIZIIIZI",
"IIIIIZIZIII",
"IIZIIZIIIII",
"IIIIZIIZIII",
"IIZIZIIIIII",
"IIIIZIZIIII",
"IZIZIIIIIII",
"IZIIIIIII... | [
-0.75,
-0.25,
-0.25,
1.25,
-0.25,
-0.75,
-1,
-1,
-0.75,
-0.75,
-0.75,
-0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.5,
-0.75,
-0.5,
-0.25,
0,
-0.5,
1,
-1.5,
-0.5,
-0.25,
1.75,
0,
0.75
] | 0.973113 | [
0.1900278807994592,
0.1977454671037508,
-0.15119111947634767,
0.14977802280520672,
0.27608461744544815,
-0.11922934596683335,
-0.348563748929671,
0.3397387971776475,
0.1245925342316713,
0.1558516031957175,
0.011264104832804548,
0.4716590191863621,
0.10496231471404718,
0.1431983474010194,
... | {
"n_parameters": 170,
"n_qubits": 11,
"optimal_eigenvalue": -14.25,
"target_ratio": 0.97,
"target_value": -13.8225
} | 13 |
803276a777b6ec2f65b92e64949dd4f0 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": ... | {"states": [0, 135], "expectation_value": -35.611385748684526, "params": [-0.0005, 1.6421000000000001, 0.0016, 1.3502, -0.004, -0.8069000000000001, -0.0037, 1.4736, 0.7981, 0.5874, -0.2585, 1.9714, -0.0025, 1.4225, -0.0027, 1.4012, 0.0019, 1.3542, 0.0009000000000000001, 1.6491, 0.0015, 1.5764, -0.009600000000000001, 0.... | -3.0 * (Z(0) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(0)) + -3.0 * (Z(6) @ Z(3)) + -3.5 * (Z(6) @ Z(0)) + 1.5 * (Z(6) @ Z(4)) + 1.0 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + -3.5 * (Z(1) @ Z(6)) + -3.5 * (Z(5) @ Z(3)) + 1.5 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(4)) + -3.5 * (Z(5) @ Z(6)) + -3.... | 6 | 10 | 2 | {"smallest_eigenvalues": [-37.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.5, "smallest_bitstrings": ["1101111000"], "largest_eigenvalue": 34.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.5355832492014104) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.3128776199268214) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.5355832492014104) q[4];
cx q[0], q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(0.5355832492014104... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIZIIZIII",
"IIIZIIIIIZ",
"IIIZIZIIII",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIZIIIIZI",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIIZIIIZI",
"IZZIIIIIII",
"IZIIIIIZII",
"IIZIIIIZII",
"ZZIIIIIIII",
"ZIZIIIIIII"... | [
-3,
1,
-3,
-3,
-3.5,
1.5,
1,
1,
-2.5,
-3.5,
-3.5,
1.5,
-3.5,
-3.5,
-3,
-1.5,
-2,
-2,
0.5,
0.5,
-2,
-2,
1.5,
1,
-2.5,
1.5,
-2.5,
0.5,
0.5,
0.5,
0.5
] | 0.568701 | [
0.5355832492014104,
0.3128776199268214,
0.4701458484266868,
0.3463986549924006,
0.7177270089472799,
1.2240145629974246,
0.8160185914655327,
0.10087803803075286,
1.0916096411102334
] | {
"n_parameters": 9,
"n_qubits": 10,
"optimal_eigenvalue": -37.5,
"target_ratio": 0.97,
"target_value": -36.375
} | 226 |
f4058862d2cc91e963663e2c69858d5f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [100, 37], "expectation_value": -4.996515624145528, "params": null, "bitstrings": ["0011011", "1011010"], "total_optimization_steps": 26, "probabilities": [0.06700894031405219, 0.9297461660320786], "optimization_time": 25.575791120529175} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(2) + -1.0 * Z(0) + -2.0 * Z(5) + -0.5 * Z(6) + -1.0 * Z(1) + -1.5 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1101010", "1011010", "0011011"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.08155479116440284) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.08155479116440284) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.08155479116440284) q[3];
cx q[2], q[3];
rz(0.6726318576019645) q[2];
rx(1.4395567190828875) q[2... | 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[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",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"IIIIZZI",
"IZIIIZI",
"IIIZZII",
"IZIZIII",
"IIIZIZI",
"IZZIIII",
"IIZZIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-2,
-0.5,
-1,
-1.5,
-0.5
] | 0.857675 | [
-0.08155479116440284,
0.6726318576019644,
1.3685732063111773,
-1.9248268523404324,
1.3279290926971614,
1.4395567190828875,
-0.8198366260050157,
1.279399435917915,
1.24312089196522,
3.1061045586653235,
1.9879305316842095,
0.3855996081973117
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 350 |
135981e0ed720862b340e5f4f8aff5ed | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [1020, 1023], "expectation_value": -12.923289461522337, "params": null, "bitstrings": ["0000000011", "0000000000"], "total_optimization_steps": 100, "probabilities": [0.1355452914933151, 0.43988932258809993], "optimization_time": 235.98850274085999} | -2.0 * (Z(0) @ Z(3)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + -1.0 * (Z(8) @ Z(9)) + 0.5 * Z(3) + 0.5 * Z(0) + ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.5, -16.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -15.5, "smallest_bitstrings": ["0000000000", "0000001100"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.07291490116812199) q[0];
ry(0.014682680548490042) q[1];
ry(0.014682680548490042) q[2];
ry(-0.10343246341488556) q[3];
ry(-0.015104888876729373) q[4];
ry(0.07576867434603778) q[5];
ry(0.07576867434603778) q[6];
ry(-0.0018395314264746509) q[7];
ry(-0.053227041417630... | null | {"node": 6} | {"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[3], 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] = measu... | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIIIZIIZI",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIIZIIIZI",
"IIIIIIZZII",
"IIIIIIIZIZ",
"IIIIIZIZII",
"IIZZIIIIII",
"ZZIIIIIIII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIIIZI",
"IIIIZIIIII",
"IIIIIIIZII",
"IIZIIIIIII"... | [
-2,
-2.5,
-2,
0.5,
0.5,
0.5,
-2.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5
] | 0.975435 | [
0.07291490116812199,
0.014682680548490042,
-0.10343246341488556,
-0.015104888876729373,
0.07576867434603778,
-0.0018395314264746509,
-0.05322704141763038,
0.034397150838764066,
3.0526644752825667,
-0.038277130106370745,
0.13943469979012124,
-0.22904656158492104,
0.6400330578271586
] | {
"n_parameters": 13,
"n_qubits": 10,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 33 |
b8267cc32c4ab20719d021fb2a369baa | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 9}, {"capacity": 1, "source": 1, "target": 6}, {"capac... | {"states": [129, 193], "expectation_value": -4.1584974817099685, "params": [-0.0129, 0.062, -0.012100000000000001, 0.0682, 0.0193, 0.1341, 0.014700000000000001, 0.1426, -0.2795, -0.0006000000000000001, -0.27190000000000003, -0.0032, 0.22990000000000002, 0.0004, 0.2494, -0.0035, 0.0018000000000000002, 0.2364, 0.0047, 0.... | -0.5 * (Z(0) @ Z(4)) + 0.75 * (Z(9) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(4)) + -0.25 * (Z(8) @ Z(4)) + -0.25 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ Z(7)) + -0.5 * (Z(5) @ Z(8)) + -0.75 * Z(4) + -0.25 * Z(0) + 0.5 * Z(9) + -0.25 * Z(6) + 0.0 * Z(1) + 0.25 * Z(7) +... | 6 | 10 | 4 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 22, "first_excited_energy": -3.25, "smallest_bitstrings": ["1001101000", "1001110000", "1000100000", "100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.1355773610753305) q[0];
ry(-0.3353391923867195) q[1];
rz(-pi) q[1];
h q[2];
ry(0.5294853029605695) q[2];
h q[3];
ry(-1.0253355745940118) q[4];
rz(-pi) q[4];
ry(-0.1250025367710816) q[5];
rz(-pi) q[5];
ry(-0.49523476804521466) q[6];
rz(-pi) q[6];
h q[7];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIZ",
"ZIIIIIIIIZ",
"IIIZIIIIZI",
"IIZIIIIIZI",
"IIZIIIIZII",
"IIIIIZZIII",
"IZIIIZIIII",
"ZZIIIIIIII",
"IZZIIIIIII",
"IZIIZIIIII",
"IIIIIZIIII",
"IIIIIIIIIZ",
"ZIIIIIIIII",
"IIIZIIIIII",
"IIIIIIIIZI",
"IIZIIIIIII",
"IIIIIIIZII",
"IIIIIIZIII",
"IZIIIIIIII",
"IIIIZIIIII"... | [
-0.5,
0.75,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.75,
-0.25,
0.5,
-0.25,
0,
0.25,
0.25,
0.5,
0.25,
-0.5
] | 0.971225 | [
-0.271154722150661,
1.4290534914143433,
-0.9237596835129824,
-1.2961719570826769,
-0.8999175831658417,
1.058970605921139,
-0.866564043822378,
-1.1845556587074944,
0.17048076945060944,
-0.417995029854608,
0.6856067111399453,
-0.296903317027565,
-0.10180295140136542,
-0.299243665882276,
-0... | {
"n_parameters": 35,
"n_qubits": 10,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 39 |
50c5b65ff56baf5d2a2ac4afeecfa642 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [164, 166], "expectation_value": -4.139158458264035, "params": [0.4968, -0.003, 0.4974, 0.0015, 0.34400000000000003, 0.028200000000000003, 0.3791, 0.0008, 0.5022, 0.0048000000000000004, 0.49920000000000003, 0.0032, -0.0327, 0.0568, 0.10490000000000001, 0.0891, 0.10830000000000001, 0.028800000000000003, 0.135... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(4) + -1.5 * Z(1) + -1.0 * Z(5) + -0.5 * Z(6) + -0.5 * Z(7) + 0.... | 6 | 8 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["01011010", "01011001"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.312878483299264) q[0];
rz(-0.04962151999419673) q[0];
rx(0.2229448250229675) q[1];
rz(0.006482994369434759) q[1];
cx q[1], q[0];
rz(0.10306621733046736) q[0];
cx q[1], q[0];
rz(1.6030319478859267) q[0];
ry(1.0490596881945315) q[0];
rz(-1.6919936754392435) q[0];
rx(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZIIIZ",
"IIIIZIZI",
"IIZIZIII",
"IIZZIIII",
"IIZIIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"ZZIIIIII",
"IIIIZZII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-1.5,
-1,
-0.5,
-0.5,
0
] | 0.973162 | [
0.31287848329926404,
0.05344469733627061,
0.2229448250229675,
0.006482994369434759,
0.4173801066670407,
0.11788323466496198,
-0.029934024626718368,
0.2961232394701597,
-0.032466020933382064,
0.32079252337882813,
0.4752988584322023,
0.004911548039477999,
0.11051400061943498,
0.2977006990494... | {
"n_parameters": 109,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 9 |
0f6c9a235f7bcd68e5f64c8a7647bf3d | 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": [1348, 837], "expectation_value": -43.015750665262075, "params": [[[0.33790000000000003, 0.2308], [0.2641, 0.2874], [0.5048, 0.4937], [0.2124, 0.49100000000000005], [0.5019, 0.3876], [0.2044, 0.4209], [-0.0429, 0.2597], [-0.0796, 0.1691], [0.4893, 0.4675], [0.4983, 0.4943], [0.4053, 0.4938]], [[0.48750000000... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(5) @ Z(1)) + 7.0 * (Z(4) @ Z(0)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(7) @ Z(2)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(9) @ Z(8)) + 7.0 * (Z(10) @ Z(3)) + 7.0 * (Z(10) @ Z(8)) + 7.0 * (Z(10) @ Z(9)) + 6.0 * Z(1) + 2.0 * Z(0) + 1.0 * Z(3) + 15.0 * Z(2) + ... | 15 | 11 | 4 | {"smallest_eigenvalues": [-118.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -100.5, "smallest_bitstrings": ["10010111010"], "largest_eigenvalue": 163.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.8864709416111792) q[0];
ry(0.3877364585387603) q[1];
ry(0.6559983523674464) q[2];
ry(0.16376349015407285) q[3];
ry(0.7549968696235952) q[4];
ry(0.08868328940764558) q[5];
ry(0.05508376355124316) q[6];
ry(0.21856160900420546) q[7];
ry(1.1537411468132686) q[8];
ry(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIZIIIZI",
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIZIIIIZII",
"IIZIIIIIZII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"ZIIIIIIZIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIZIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
6,
2,
1,
15,
1,
8.5,
2.5,
20,
2,
12.5,
-9
] | 0.973588 | [
0.8864709416111792,
0.3877364585387603,
0.6559983523674464,
0.16376349015407285,
0.7549968696235952,
0.08868328940764558,
0.05508376355124316,
0.21856160900420546,
1.1537411468132686,
0.37517403918471437,
-0.03912452930281464,
-0.020576870970248944,
-0.04054105495154876,
0.0693026950079428... | {
"n_parameters": 85,
"n_qubits": 11,
"optimal_eigenvalue": -118.5,
"target_ratio": 0.97,
"target_value": -114.945
} | 106 |
082a088e0d8cf5644bb54063ea0af58e | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [1996, 1984], "expectation_value": -18.88836124305103, "params": null, "bitstrings": ["00000110011", "00000111111"], "total_optimization_steps": 100, "probabilities": [0.1506341152932654, 0.429722094573549], "optimization_time": 295.1149535179138} | -2.5 * (Z(0) @ Z(2)) + 1.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(3)) + -2.5 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(5)) + -2.5 * (Z(6) @ Z(8)) + 0.5 ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-28.0, -28.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -27.0, "smallest_bitstrings": ["00000111111", "00000100010"], "largest_eigenvalue": 38.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.6443783818664842) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-0.39747829702790893) q[3];
cx q[2], q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(-0.6443783818664842) q[1];
cx q[2], q[1];
rz(-0.6443783818664842) q[3];
cx q[0], q[... | null | {"node": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nry(-1.5709) 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] = m... | [
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIZIZII",
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IIIIIIZIIZI",
"IIZIIZIIIII",
"IZZIIIIIIII",
"IZIIIZIIIII",
"IIZIZIIIIII",
"IZIIZIIIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"ZIIIZIIIIII",
"IIZZIIIII... | [
-2.5,
1.5,
-2.5,
-2.5,
1,
-2.5,
-2.5,
1,
-2.5,
-2,
0.5,
1,
0.5,
-2.5,
0.5,
-3,
-2.5,
-2,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-3,
-1.5,
-2,
1,
1.5,
1
] | 0.610488 | [
-0.6443783818664842,
-0.39747829702790893,
-0.236227196898351,
-0.907683423969439,
-0.07000419797907183,
-0.6502925705552637,
-1.610177123055441,
-1.0025220798506207
] | {
"n_parameters": 8,
"n_qubits": 11,
"optimal_eigenvalue": -28,
"target_ratio": 0.97,
"target_value": -27.16
} | 196 |
3568935625424245825 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [1, 7], [3, 7], [2, 6], [3, 4], [2, 7], [4, 5]]} | {"states": [120, 116], "expectation_value": -3.088099425647875, "params": null, "bitstrings": ["10000111", "10001011"], "total_optimization_steps": 70, "probabilities": [0.05455912153726983, 0.7811051402029368], "optimization_time": 93.05388402938843} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["10001011", "01110100"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.8190768760876861) q[0];
cx q[3], q[0];
rz(-1.8713845140183594e-08) q[0];
rx(0.7853981393740376) q[0];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[7];
rz(-0.8190768760876861) q[7];
cx q[3], q[7];
cx q[3], q[4];
rz(-0.81... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[3], 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] = me... | [
"IIIIZIIZ",
"ZIIIZIII",
"ZIIIIIZI",
"ZIIIIZII",
"IZIIIZII",
"IIIZZIII",
"IIZZIIII",
"IIIIZIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IZIIIIII",
"IIIZIIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.497255 | [
-0.8190768760876861,
-1.871384517840014e-8,
0.7853981393740377
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 92 |
8b5947b02692638d32f271e79fab34d5 | 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": 8}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 4, "source": 2, "target":... | {"states": [0, 1022], "expectation_value": -17.748998984462105, "params": [[[-0.0172, -0.48850000000000005], [-0.0043, -0.032100000000000004], [-0.0011, -0.0019], [-0.0016, -0.0025], [-0.0026000000000000003, -0.0014], [-0.002, 0.0017000000000000001], [-0.0045000000000000005, -0.0024000000000000002], [-0.0033, -0.0016],... | -0.5 * (Z(0) @ Z(9)) + -0.5 * (Z(3) @ Z(9)) + -1.0 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(4)) + -0.75 * (Z(6) @ Z(9)) + -1.0 * (Z(6) @ Z(4)) + -2.25 * (Z(6) @ Z(8)) + -1.5 * (Z(7) @ Z(4)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z... | 15 | 11 | 4 | {"smallest_eigenvalues": [-18.25, -18.25, -18.25, -18.25, -18.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -17.25, "smallest_bitstrings": ["10000000000", "10000000001", "10000000010", "10000000011", "10000010111"], "largest_eigenvalue": 24.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.0781274843234667) q[0];
ry(-0.032168929984743924) q[1];
ry(0.15901863390259885) q[2];
ry(-0.02762987132869597) q[3];
ry(-0.006401337068846491) q[4];
ry(-0.006401337068846491) q[5];
ry(-0.02762987132869597) q[6];
ry(-0.032168929984743924) q[7];
ry(-0.0321689299847... | 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": []} | [
"IZIIIIIIIIZ",
"IZIIIIIZIII",
"IIIIIIIZIZI",
"IIIIIIZZIII",
"IIIIIIZIIZI",
"IZZIIIIIIII",
"IIZIIIIZIII",
"IIZIIIZIIII",
"IZIIZIIIIII",
"IIIIZIZIIII",
"IIZIZIIIIII",
"IIIZIIZIIII",
"IIIIIZIZIII",
"IIIIIZIIIZI",
"IIIIZZIIIII",
"IIIZIZIIIII",
"ZIIIZIIIIII",
"IIIIIIIIZIZ",
"IIIZIIIIZ... | [
-0.5,
-0.5,
-1,
-1.5,
-0.5,
-1.5,
-0.25,
-0.5,
-0.75,
-1,
-2.25,
-1.5,
-0.75,
-0.75,
-1,
-1.75,
-1,
0.75,
-1,
-2.25,
-0.25,
-1.5,
-0.25,
3,
1.5,
-1,
-0.75,
2.75,
-1,
-0.25
] | 0.971532 | [
-0.0781274843234667,
-0.032168929984743924,
0.15901863390259885,
-0.02762987132869597,
-0.006401337068846491,
0.04527143754682471,
-0.017959131693902085,
0.9905228058148161,
0.6965908715286384,
0.03904999173329677,
0.047842231729873896,
-0.028931034523491578,
-0.015502847708995161,
0.09782... | {
"n_parameters": 27,
"n_qubits": 11,
"optimal_eigenvalue": -18.25,
"target_ratio": 0.97,
"target_value": -17.7025
} | 11 |
57e4a42254a59ee532f799c4c74dbbc5 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [0, 1], "expectation_value": -14.005325246745812, "params": [-0.0027, 0.3543, 0.0019, 0.4491, -0.0167, -0.0591, 0.0002, 0.4456, 0.0012000000000000001, 0.4576, 0.0027, 0.459, 0.0028, 0.4516, 0.6071000000000001, -0.0027, -0.0048000000000000004, 0.3412, 0.0053, 0.4389, 0.0292, -0.3779, 0.0066, 0.446, 0.00450000... | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -2.75 * (Z(4) @ Z(3)) + -1.5 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(4)) + -3.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 0.0 * Z(5) + 2.5 * Z... | 4 | 8 | 3 | {"smallest_eigenvalues": [-17.75, -17.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.75, "smallest_bitstrings": ["11111110", "11011110"], "largest_eigenvalue": 17.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.005854303607264674) q[0];
rz(0.3960597459368831) q[0];
rx(-0.013489921067996584) q[1];
rz(0.8659527247617227) q[1];
rx(0.693863413275396) q[2];
rz(-0.07052575540604744) q[2];
rx(0.07980093795002999) q[3];
rz(0.23434034951631544) q[3];
rx(-0.05568818637921519) 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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIZIII",
"ZIIIIIIZ",
"IIZIIZII",
"IIIZZIII",
"IZIIIIZI",
"IZZIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII"
] | [
-0.25,
-1.5,
-1.5,
-0.5,
-0.25,
2.5,
-0.5,
-2.75,
-1.5,
-1.25,
-0.25,
-3.25,
-0.25,
0.5,
0,
2.5,
0.5,
-0.5,
0.5
] | 0.977064 | [
-0.005854303607264674,
0.5558932394584737,
-0.013489921067996583,
0.6906493351292241,
0.6938634132753959,
0.052719814559119754,
0.07980093795002999,
0.4969877308788506,
-0.05568818637921519,
0.7924222696935164,
0.07016453342192276,
0.8263182994596178,
0.18091812245774114,
-0.56424050298015... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -17.75,
"target_ratio": 0.97,
"target_value": -17.2175
} | 8 |
b4844a241e7c75ea7eb690acd3c4c004 | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 2}, {"weight": 7, "source": 1, "target": 2}]} | {"states": [1, 0], "expectation_value": -0.012527829633617427, "params": [[-0.0524], [0.0601]], "bitstrings": ["0", "1"], "total_optimization_steps": 10, "probabilities": [0.4937360851831911, 0.5062639148168085], "optimization_time": 0.8623018264770508} | -1.0 * Z(0) | 5 | 1 | 1 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": 1.0, "smallest_bitstrings": ["1"], "largest_eigenvalue": 1.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) q[0];
| OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
bit[1] c;
qubit[1] q;
h q[0];
rz(x0) q[0];
h q[0];
rz(x1) q[0];
h q[0];
c[0] = measure q[0]; | {"start_node": 0, "end_node": 2} | {"circuits": [], "gradients": []} | [
"Z"
] | [
-1
] | 0.999879 | [
-0.13358933430461783,
0.05925579854844312,
0.1941292476304146,
-0.0004540644499549003,
-0.07413458086647713,
0.10747849798655963
] | {
"n_parameters": 6,
"n_qubits": 1,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 1 |
-4045081829995240290 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 4, 5, 7, 8, 10, 11], [11, 3], [1, 4, 5, 6, 7, 8, 9, 11], [0, 1, 2, 3, 5, 7, 10], [0, 9, 11, 7], [1, 2, 5, 8, 11]]} | {"states": [1941, 1973], "expectation_value": -1.2904556798171911, "params": [[0.2058, 1.576, 0.0045000000000000005, 1.5866, -0.0034000000000000002, -0.011300000000000001, -0.0094, 1.5775000000000001, -0.0017000000000000001, 1.5774000000000001, 0.002, 1.0779], [0.9674, 1.568, 1.5998, 1.5801, 1.5946, 0.19160000000000002... | 0.041666666666666664 * (Z(0) @ Z(1)) + 0.03571428571428571 * (Z(6) @ Z(1)) + 0.017857142857142856 * (Z(6) @ Z(0)) + 0.10952380952380952 * (Z(7) @ Z(1)) + 0.041666666666666664 * (Z(7) @ Z(0)) + 0.03571428571428571 * (Z(7) @ Z(6)) + 0.05952380952380952 * (Z(9) @ Z(1)) + 0.125 * (Z(9) @ Z(0)) + 0.03571428571428571 * (Z(9)... | 10 | 12 | 1 | {"smallest_eigenvalues": [-1.4976190476190478, -1.4976190476190478, -1.4976190476190478], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.4976190476190474, "smallest_bitstrings": ["001110001000", "001001000011", "100001001010"], "largest_eigenvalue": 5.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.02106979308632939) q[0];
ry(1.2331239506468221) q[1];
ry(0.05410730289229719) q[2];
ry(1.9493588923731702) q[3];
ry(-0.05711360333556911) q[4];
ry(-0.3860323790462511) q[5];
ry(0.0006814189793908562) q[6];
ry(1.3888527366425045) q[7];
ry(-0.05580704448603292) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZIIIIIIZ",
"IIIIZZIIIIII",
"IIZIIIIIIIZI",
"IIZIIIIIIIIZ",
"IIZIIZIIIIII",
"IIZIZIIIIIII",
"IZIIIIIIIIZI",
"IZIIIIIIIIIZ",
"IZIIIZIIIIII",
"IZIIZIIIIIII",
"IZZIIIIIIIII",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIII... | [
0.041666666666666664,
0.03571428571428571,
0.017857142857142856,
0.10952380952380952,
0.041666666666666664,
0.03571428571428571,
0.05952380952380952,
0.125,
0.03571428571428571,
0.05952380952380952,
0.08571428571428572,
0.017857142857142856,
0.03571428571428571,
0.08571428571428572,
0.03... | 0.970744 | [
-0.02106979308632939,
1.2331239506468221,
0.05410730289229719,
1.9493588923731702,
-0.05711360333556911,
-0.3860323790462511,
0.0006814189793908562,
1.3888527366425045,
-0.05580704448603292,
1.2089691991954439,
-0.008332596034895567,
0.8598893718280536,
-0.02968141786271833,
2.058003020673... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -1.4976190476190478,
"target_ratio": 0.97,
"target_value": -1.4526904761904764
} | 37 |
9e14ad1f9402d7c930c6166736d23de7 | 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": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "s... | {"states": [3, 1], "expectation_value": -0.6373176981897835, "params": [[0.0562, 0.07300000000000001], [-0.0313, -0.0577]], "bitstrings": ["111111100", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0031489887473829525, 0.003242404796119348], "optimization_time": 3.221259355545044} | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + 1.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * Z(3) + -0.25 * Z(0) + -1.0 * Z(4) + 0.5 * Z(7) + 1.5 ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-9.5, -9.5, -9.5, -9.5, -9.5, -9.5, -9.5, -9.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -8.5, "smallest_bitstrings": ["110110100", "110110010", "110110110", "110110000", "100110100", "100110000", "111111100", "111111110"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.019398678090436997) q[0];
rz(2.084914487441562) q[0];
rx(0.09762454859881467) q[1];
rz(1.9642393875336737) q[1];
rx(0.15349678368786707) q[2];
rz(2.054520407527221) q[2];
rx(0.1508063677983519) q[3];
rz(2.01629317791377) q[3];
rx(-0.20457896895512162) q[4];
rz(1.9... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIZIIIZ",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIIIZIZI",
"IZIIIIIZI",
"IIIZIIIZI",
"IIIZIIZII",
"IIZIIIZII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIIIZII",
"IIZIIIIII"
] | [
-0.5,
-0.25,
-0.75,
-0.25,
1.75,
-0.25,
-0.75,
-0.5,
-0.5,
-0.75,
-0.75,
-1,
-0.25,
-1,
0.5,
1.5,
-0.25,
0.75,
0.5,
-0.75
] | 0.973875 | [
-0.019398678090436994,
0.514118160646666,
0.09762454859881467,
0.39344306073877683,
0.15349678368786707,
0.4837240807323244,
0.1508063677983519,
0.44549685111887327,
-0.20457896895512162,
0.3909184559611752,
-0.1069543401062249,
0.5626121896390848,
0.019812075457725918,
0.4101572633914103,... | {
"n_parameters": 74,
"n_qubits": 9,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 6 |
cd6b95f7911cf005cdf71a0eba496ffd | 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": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "s... | {"states": [255, 251], "expectation_value": -0.30213184268546805, "params": [[0.061000000000000006], [-0.052500000000000005]], "bitstrings": ["100000000", "100000100"], "total_optimization_steps": 10, "probabilities": [0.00232100251146045, 0.0023340187086260027], "optimization_time": 2.435802698135376} | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + 1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(8)) + -1.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(7) @ Z(8)) + -0.75 * (Z(7) @ Z(1)) + -0.25 * (... | 1 | 9 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.5, "smallest_bitstrings": ["100011100", "100001100", "100000100"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7735667615416032) q[0];
rz(-pi) q[1];
ry(-3.079434104535893) q[1];
h q[2];
ry(1.516306984161729) q[2];
h q[3];
ry(0.7885357724872817) q[3];
cx q[2], q[3];
ry(-0.7885357724872817) q[3];
cx q[2], q[3];
h q[4];
ry(0.766889092337976) q[4];
h q[5];
h q[6];
ry(-... | 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",
"IIZIIIIIZ",
"ZIIIZIIII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIZIIIZII",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIZZIIII",
"IIIZIIZII",
"ZZIIIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"... | [
-0.25,
-0.75,
-0.25,
1.25,
-0.75,
-1.25,
-0.25,
-0.75,
-0.75,
-0.75,
-0.75,
-0.25,
-0.75,
-0.25,
0.75,
-0.25,
-1,
0,
-1,
2,
0.25,
-1.5,
0.75
] | 0.993641 | [
1.516306984161729,
1.5770715449745634,
1.533778184675952,
1.632038848267938,
-1.5471335230832064,
-1.3209620156551498,
-0.22881298705678083,
0.19835338234569008,
0.0022335835759770746,
-0.1446095482429703,
0.1313641484193141,
-0.07455320949885036,
-0.10924030059404183,
-0.10448094640486925... | {
"n_parameters": 14,
"n_qubits": 9,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 1 |
71e5bb03712e194188f8d50f4c05cdf8 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 1, "target": 5}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [108, 60], "expectation_value": -3.499151798817949, "params": null, "bitstrings": ["0010011", "1000011"], "total_optimization_steps": 29, "probabilities": [0.06620831211809416, 0.9331798105249665], "optimization_time": 19.380810260772705} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(6) + -0.5 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000011", "0010011", "1100010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.02416004962987343) q[0];
rz(0.6464253471396171) q[0];
ry(0.10916841186711712) q[1];
rz(-0.09003719706251745) q[1];
cz q[1], q[0];
ry(0.05188818090336937) q[0];
rz(0.3737247607235006) q[0];
ry(0.8200282107581987) q[1];
ry(1.0435735918085753) q[2];
rz(0.102623408307... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IZIIIZI",
"IZIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IZIIIII",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-0.5,
-0.5,
-0.5,
-1,
0,
0
] | 0.974585 | [
-0.02416004962987343,
0.6464253471396171,
0.10916841186711712,
-0.09003719706251745,
1.0435735918085753,
0.10262340830715515,
0.008916786375439203,
0.3403912361093418,
-0.14003445094820235,
0.6799870032696831,
0.15759830125959468,
-0.008518809284857834,
0.4100141053790994,
0.02910355617106... | {
"n_parameters": 46,
"n_qubits": 6,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 10 |
082b6c86bc8d553008a81e548bf0a65e | 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": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [35, 3], "expectation_value": -11.525091798537497, "params": null, "bitstrings": ["111011100", "111111100"], "total_optimization_steps": 60, "probabilities": [0.16576969212998327, 0.5270153725643867], "optimization_time": 79.97202348709106} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + -1.25 * (Z(7) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(7)) + -1.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -1.5 * (Z(3) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(3)) + 2.25 * (Z(8) @ Z(0)) + -1.75 * (Z(8... | 1 | 9 | 2 | {"smallest_eigenvalues": [-13.5, -13.5, -13.5, -13.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -12.5, "smallest_bitstrings": ["111111100", "111001000", "111000000", "111011100"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.01995827998848688) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[5], q[3];
rz(0.0011424779715897004) q[3];
cx q[5], q[3];
h q[6];
h q[7];
cx q[2], q[7];
rz(0.0604644772113118) q[7];
cx q[2], q[7];
cx q[0], q[7];
cx q[2], q... | 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(-1.57) 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] = me... | [
"IIIIIIZIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"IIIIIIZZI",
"IZIIIIIZI",
"IIIIZIZII",
"IZIIZIIII",
"IIIIZIIZI",
"IIIZIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IIZIIZIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIIIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIZIIIII",
"... | [
-0.75,
-0.25,
-1.25,
-2,
-0.25,
-1.75,
-0.5,
-0.25,
-1.5,
-1.25,
-1.25,
-0.75,
2.25,
-1.75,
-0.25,
-3.25,
-0.25,
1,
1,
2.25,
-2.75,
2,
-0.25,
0.25
] | 0.967362 | [
0.01995827998848688,
0.0604644772113118,
0.009467678937415125,
0.0034315551282985113,
-0.020265119812155508,
-0.045284364355096626,
0.0011424779715897004,
-0.044087738298219936,
-1.50226119903777,
-1.4628010130334417,
-0.8017292774672112,
1.5766066058178019,
0.13288720752041047,
-1.4525988... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 500 |
-508403983969535921 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 4], [2, 3], [0, 1], [0, 3]]} | {"states": [0, 11], "expectation_value": -0.19720622852878567, "params": [0.6925, 0.0, 0.6934, 0.0027, 0.7046, 0.0008, 0.7028, 0.0039000000000000003, 0.7068, 0.0011, 0.7033, 0.0037, 0.7106, -0.0018000000000000002, 0.7084, 0.0047, 0.7093, 0.004, 0.7062, 0.007200000000000001, -0.6652, 0.5890000000000001, -0.6828000000000... | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) | 6 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["10100", "01011"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(0.8909584347184499) q[2];
cx q[4], q[2];
cx q[2], q[3];
rz(0.8909584347184499) q[3];
cx q[2], q[3];
rz(-8.909950111046783e-09) q[2];
rx(-0.7853981732803847) q[2];
cx q[3], q[0];
rz(0.8909584347184499) q[0];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIZII",
"IZZII",
"IZIIZ",
"IIIZZ",
"ZIIII",
"IIZII",
"IZIII",
"IIIIZ",
"IIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.561092 | [
0.8909584347184499,
-8.909950030797612e-9,
-0.7853981732803847
] | {
"n_parameters": 3,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 98 |
1191675002883320459 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 8, 3, 6], [8, 1], [2, 3], [4, 6], [4, 5], [2, 7]]} | {"states": [174, 430], "expectation_value": -2.526837226004336, "params": null, "bitstrings": ["101010001", "001010001"], "total_optimization_steps": 74, "probabilities": [0.05022554442823789, 0.6887272515800683], "optimization_time": 425.0344948768616} | 0.08333333333333333 * (Z(0) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.75, -2.75, -2.75, -2.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.666666666666667, "smallest_bitstrings": ["001010001", "011001100", "111010000", "010110010"], "largest_eigenvalue": 3.5000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[8], q[0];
rz(-0.1142794901624397) q[0];
cx q[8], q[0];
cx q[8], q[3];
rz(-0.1142794901624397) q[3];
cx q[8], q[3];
cx q[0], q[3];
rz(-0.1142794901624397) q[3];
cx q[0], q[3];
cx q[8], q[6];
rz(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[7], q[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... | [
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIIIIZIIZ",
"ZIZIIIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIIIIZI",
"IIIIIZZII",
"IIZIZIIII",
"IIIZZIIII",
"IZIIIIZII",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIZIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII"
] | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0,
0,
0,
0,
0
] | 0.650431 | [
-0.1142794901624397,
-1.0947625302156563,
-0.28846914302058296,
0.08818784548486595,
0.7942084124907122
] | {
"n_parameters": 5,
"n_qubits": 9,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 125 |
02a2a0d33e9cebe605dcd75e7d0a9108 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"s... | {"states": [0, 8160], "expectation_value": -45.923244772940905, "params": [[[0.0026000000000000003, 0.008], [-0.0027, 0.0032], [0.0027, 0.001], [0.0022, 0.007500000000000001], [0.0022, 0.0043], [-0.0024000000000000002, 0.001], [0.0025, 0.0059], [1.6054000000000002, 0.008], [0.5705, 0.003], [0.0029000000000000002, 0.004... | -3.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -4.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 1.0 * (Z(5) @ Z(1)) + -4.0 * (Z(5) @ Z(0)) + 1.5 * (Z(5) @ Z(2)) + -3.5 * (Z(5) @ Z(3)) + -2.5 * (Z(7) @ Z(1)) + -3.5 * (Z(7) @ Z(0)) + 1.0 * (Z(7) @ Z(2)) + -3.0 * (Z(7) @ Z(3)) + 1.5... | 2 | 13 | 1 | {"smallest_eigenvalues": [-50.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.0, "smallest_bitstrings": ["0000000011111"], "largest_eigenvalue": 59.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.034473089868331655) q[0];
rz(0.06624550705409743) q[0];
rx(-0.08114897155771449) q[1];
rz(0.2535250556993518) q[1];
rx(-0.12573165878821174) q[2];
rz(-0.2324121891644002) q[2];
rx(-0.01791010394718239) q[3];
rz(0.28689545236621966) q[3];
rx(-0.01791010394718239) 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[... | {"node": 12} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZIZ",
"IIIIIIIIIZIZI",
"IIIIIIIIIZIIZ",
"IIIIIIIIIZZII",
"IIIIIIIZIIIZI",
"IIIIIIIZIIIIZ",
"IIIIIIIZIIZII",
"IIIIIIIZIZIII",
"IIIIIZIIIIIZI",
"IIIIIZIIIIIIZ",
"IIIIIZIIIIZII",
"IIIIIZIIIZIII",
"IIIIIZIZIIIII",
"IIIIIIIIZIIZI",
"IIIIIIIIZII... | [
-3,
0.5,
-4,
-2.5,
-3,
0.5,
1,
-4,
1.5,
-3.5,
-2.5,
-3.5,
1,
-3,
1.5,
0.5,
1.5,
-3,
1,
-3.5,
-4,
1,
-2.5,
0.5,
-3,
0.5,
-2.5,
-3,
-3,
0.5,
-3,
0.5,
0.5,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
1,
-... | 0.972993 | [
0.034473089868331655,
0.06624550705409743,
-0.08114897155771449,
0.2535250556993518,
-0.12573165878821174,
-0.2324121891644002,
-0.01791010394718239,
0.28689545236621966,
0.33905052609283837,
-0.120480568929926,
0.03559934360963267,
0.3010210237999339,
2.659594329401192,
0.3778558014237124... | {
"n_parameters": 23,
"n_qubits": 13,
"optimal_eigenvalue": -50,
"target_ratio": 0.97,
"target_value": -48.5
} | 14 |
-5630324896410027397 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 4], [2, 4, 5], [3, 4], [1, 2, 4]]} | {"states": [19, 42], "expectation_value": -0.036713588093297334, "params": [[-0.0731], [0.0731]], "bitstrings": ["101100", "010101"], "total_optimization_steps": 10, "probabilities": [0.016461830103197336, 0.01646183010319734], "optimization_time": 0.4724290370941162} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.3333333333333333 * Z(1) + 0.1666... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.166666666666667, "smallest_bitstrings": ["000010", "101100", "010101"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.1400048058737567) q[0];
h q[1];
cx q[1], q[0];
ry(0.1400048058737567) q[0];
cx q[1], q[0];
ry(0.05125252164333782) q[1];
cx q[0], q[1];
ry(-0.05125252164333782) q[1];
cx q[0], q[1];
ry(0.8223113227721199) q[1];
ry(-0.25736942482671854) q[0];
h q[2];
h 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;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(x1) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(x0) q[4]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIZI",
"IZIIIZ",
"IIIZZI",
"IZIZII",
"ZZIIII",
"ZIIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"ZIIIII",
"IIZIII"
] | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.5000000000000001,
0.3333333333333333,
0.16666666666666666,
0
] | 0.979901 | [
1.4047628196801263,
-1.2557202541827004,
-0.2800096117475134,
-0.3554034703521769,
-0.06527488764655896,
0.10250504328667565,
0.8223113227721199,
-0.5223988553349956,
0.5505984524340961,
0.5610342637126242,
-0.5147388496534371,
0.2641173260144707,
-0.7650703044211512,
0.6833417728121738,
... | {
"n_parameters": 27,
"n_qubits": 6,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 12 |
82a9b805089c1b1c13eff0722cc99710 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "s... | {"states": [65, 1], "expectation_value": -0.3438269483743771, "params": [[-0.057100000000000005], [0.0697]], "bitstrings": ["110111110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.002526101826569228, 0.002581218983447726], "optimization_time": 2.9695215225219727} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-11.0, -11.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["110111110", "111111110"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.129749767988939) q[0];
rz(1.8507290898757516) q[0];
rx(-0.108662880652448) q[1];
rz(2.3681113194574674) q[1];
rx(0.004536411622978497) q[2];
rz(2.133366640905808) q[2];
rx(-0.10866288065244802) q[3];
rz(2.2931739779397198) q[3];
rx(0.03940300495578412) q[4];
rz(2.0... | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIZZIIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIZIIII",
"IZIZIIIII",
"IIIIIIZZI",
"IIIIIZZII",
"IIIZIIZII",
"IZIIIIZII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"... | [
-0.25,
-0.5,
-0.25,
-0.75,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
2,
-0.5,
-0.25,
-0.25,
0.25,
-0.25,
-1.25,
0.25,
0.5,
-1.75,
0.75,
1.5,
0
] | 0.970637 | [
0.129749767988939,
0.2799327630808552,
-0.108662880652448,
0.7973149926625709,
0.004536411622978496,
0.5625703141109113,
0.7223776511448223,
0.039403004955784124,
0.4882744886423105,
0.06586133065035979,
0.5072858765314702,
0.5112305744463932,
0.389718831934279,
1.3419583646118771,
-0.13... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 7 |
e61b9b6cad8366f7e670366fe202a3e7 | 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": 4, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 4}, {"weight": 11, "source": 0, "target": 3}, {"weight": 20, "source": 1, "target": 3}, {... | {"states": [95, 122], "expectation_value": -38.68801423989735, "params": null, "bitstrings": ["10100000", "10000101"], "total_optimization_steps": 100, "probabilities": [0.08084364950683393, 0.15591172189812116], "optimization_time": 187.10975432395935} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 17.5 * Z(1) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 153.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-2.1064438042783817) q[0];
h q[1];
ry(3.00933532207482) q[1];
h q[2];
ry(63.914512083600656) q[2];
rz(-pi) q[3];
ry(-2.0138186233070408) q[3];
cx q[2], q[3];
ry(31.631902076085566) q[3];
cx q[2], q[3];
ry(-31.392809348396653) q[3];
cx q[1], q[3];
ry(31.... | null | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(34.778) q[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",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17.5,
10,
14,
22,
12.5,
8.5,
12,
1
] | 0.972485 | [
34.330472433163216,
3.00933532207482,
62.27727198687937,
63.914512083600656,
-63.26380415217113,
17.13394339312842,
-62.78561869679331,
6.4092125346744835,
8.995405679010444,
-25.18439210953081,
-12.211734701172722,
-1.494483191794119,
30.42716060399111,
-16.64234087916521,
10.1661517222... | {
"n_parameters": 64,
"n_qubits": 8,
"optimal_eigenvalue": -74.5,
"target_ratio": 0.97,
"target_value": -72.265
} | 67 |
90ed954541db23a75eecb07977c28089 | 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": 0, "target": 5}, {"source": 1, "target": 4}, {"source": ... | {"states": [24, 20], "expectation_value": -4.973756373003075, "params": null, "bitstrings": ["100111", "101011"], "total_optimization_steps": 18, "probabilities": [0.07348093650168183, 0.9007115427574266], "optimization_time": 11.985194444656372} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["101011", "100111", "111100"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3009393722060807) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.3009393722060807) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.3009393722060807) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.3009393722060807) q[0];
cx q[3], q[0];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2,
-1.5,
-1.5,
-1.5,
-1.5
] | 0.807446 | [
0.3009393722060807,
1.2484013044131173,
-0.3798378390662217,
0.4270385845264586,
-0.18410433411884003,
0.15621560101591658,
0.7528483255570873,
0.46142641491757197,
0.9481662270374182,
-0.565569105340614,
-0.3443169043342043,
-0.45828684618528925,
0.6868535447971575,
-0.27349808895761746,
... | {
"n_parameters": 27,
"n_qubits": 12,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 500 |
726a5ae01318539d56f80c3be6bbd791 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [5, 36], "expectation_value": -4.473039785707444, "params": null, "bitstrings": ["111010", "011011"], "total_optimization_steps": 17, "probabilities": [0.0743643311544431, 0.8991266787931326], "optimization_time": 16.170021057128906} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["011011", "101101", "111010", "110011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.26735938862423486) q[0];
rz(0.10893230624247693) q[0];
ry(0.1491965529302104) q[1];
ry(0.1605882734467805) q[2];
ry(0.5179101632285602) q[3];
ry(0.44091074970939437) q[4];
ry(0.20939928831505905) q[5];
ry(1.2941176658595661) q[6];
ry(0.9604711128290605) q[7];
ry(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-0.5
] | 0.97497 | [
0.26735938862423486,
0.1491965529302104,
0.1605882734467805,
0.5179101632285602,
0.44091074970939437,
0.20939928831505905,
1.2941176658595661,
0.9604711128290605,
-0.3821283109988437,
1.7024078434950567,
0.054818503108896285,
0.21786461248495387,
-0.7416832374606571,
-0.39822474854642687,
... | {
"n_parameters": 126,
"n_qubits": 11,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 62 |
-6093224199140454729 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 6], [8, 1], [8, 2, 3, 5], [0, 1, 4, 5], [8, 7]]} | {"states": [285, 317], "expectation_value": -1.7303293392564698, "params": null, "bitstrings": ["011100010", "011000010"], "total_optimization_steps": 80, "probabilities": [0.20550014425055899, 0.27411388760484484], "optimization_time": 163.77973651885986} | 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.9999999999999998, "smallest_bitstrings": ["000010101", "011000010", "010100010"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.296084895591259) q[0];
rz(1.826441970472267) q[0];
rx(0.02655178072697016) q[1];
rz(1.7443085891561116) q[1];
rx(0.5419007841729224) q[2];
rz(1.2928479493407865) q[2];
rx(1.4409330841571086) q[3];
rz(1.3072714499306555) q[3];
rx(1.5825316310602071) q[4];
rz(1.54925... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... | [
"IIZIIIIZI",
"ZIIIIIIZI",
"ZIIIIIZII",
"ZIIIIZIII",
"IIIIIZZII",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIIIIIZZ",
"IIIZIIIIZ",
"IIIIZIIZI",
"IIIZZIIII",
"IIIIZIIIZ",
"ZZIIIIIII",
"IIZIIIIII",
"IIIIIIIZI",
"ZIIIIIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
0.5,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0,
0.124999999999... | 0.971633 | [
2.296084895591259,
0.2556456436773699,
0.02655178072697016,
0.1735122623612149,
0.5419007841729224,
-0.2779483774541098,
1.4409330841571089,
-0.2635248768642414,
1.5825316310602071,
-0.021537272479131606,
0.7482919489228059,
-0.23772932083549994,
2.216005850442097,
-0.025788417223147692,
... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 168 |
8400dfc59c687750e53928e5f0a8ca8d | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 6}, {"capac... | {"states": [339, 511], "expectation_value": -3.4998399937999145, "params": [[1.5681, 1.5676, 1.5733000000000001, 0.0024000000000000002, -0.0023, 1.5732000000000002, -0.7186, -0.0026000000000000003, -1.5685, -0.0026000000000000003], [-1.4402000000000001, 1.5733000000000001, 0.0023, 0.0027, 0.0023, 0.0022, -1.57350000000... | -1.25 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + -2.0 * (Z(6) @ Z(2)) + -0.75 * (Z(9) @ Z(1)) + 1.5 * (Z(9) @ Z(0)) + -0.75 * (Z(9) @ Z(2)) + -1.5 * (Z(9) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(6)) + -0.75 * (Z(3) @ Z(9)) + -0.5 * (Z(8) @ Z(1)) + -1.5 * (Z(8) @ Z(2)) + -1.75 * (Z(8) @ ... | 9 | 10 | 4 | {"smallest_eigenvalues": [-26.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.25, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 26.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.08957962352499253) q[0];
ry(0.2037516946214518) q[1];
ry(-0.09877152810391529) q[2];
ry(0.030775074362227636) q[3];
ry(-0.004978525185395981) q[4];
ry(-0.09652404336030149) q[5];
ry(0.07886397654307031) q[6];
ry(-0.09877152810391529) q[7];
ry(0.05318018898971929)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIZIIIIZI",
"IIIZIIIZII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"ZIIZIIIIII",
"IIIIIIZZII",
"IIIZIIZIII",
"ZIIIIIZIII",
"IZIIIIIIZI",
"IZIIIIIZII",
"IZIZIIIIII",
"ZZIIIIIIII",
"IZIIIIZIII",
"IIIZIZIIII",
"IZIIIZIIII",
"IIIIZIIIZI",
"IIIZZIIIII"... | [
-1.25,
-2.5,
-0.75,
-2,
-0.75,
1.5,
-0.75,
-1.5,
-1.5,
-1.25,
-0.75,
-0.5,
-1.5,
-1.75,
-1.25,
-1.5,
-1.5,
-1,
-1,
-1.75,
-0.25,
-1,
-0.75,
-0.75,
-0.25,
-2.75,
0.25,
-3.5,
4,
3,
-1.5,
1,
0.5
] | 0.971063 | [
-0.08957962352499253,
0.2037516946214518,
-0.09877152810391529,
0.030775074362227636,
-0.004978525185395981,
-0.09652404336030149,
0.07886397654307031,
0.05318018898971929,
2.1593256825826113,
0.011575758826274728,
-0.01573785635466554,
0.035353900188569015,
0.005392259967599903,
0.0055252... | {
"n_parameters": 38,
"n_qubits": 10,
"optimal_eigenvalue": -26.25,
"target_ratio": 0.97,
"target_value": -25.4625
} | 25 |
ebb45b3c08de8547137b1f8188eda7e0 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": ... | {"states": [999, 995], "expectation_value": -4.052163485610796, "params": [[0.1422], [-0.138]], "bitstrings": ["0000011000", "0000011100"], "total_optimization_steps": 20, "probabilities": [0.004302141775555752, 0.004405483123123143], "optimization_time": 1.0066440105438232} | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + -2.5 * (Z(2) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -1.0 * (Z(8) @ Z(9)) + 0.5 ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["0000011100"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.6450157647975503) q[0];
h q[1];
ry(0.6450157647975503) q[1];
h q[2];
ry(0.6450157647975503) q[2];
h q[3];
cx q[3], q[2];
ry(-0.6450157647975503) q[2];
cx q[3], q[2];
ry(0.0038327088200167773) q[2];
ry(2.7584347596896412) q[3];
h q[4];
cx q[4], q[0];
ry(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIIIIZII",
"IIIZIIIIII"... | [
-2,
0.5,
-2.5,
-2,
-2.5,
1,
0.5,
1,
-2,
-2.5,
-1.5,
0.5,
0.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5
] | 0.954193 | [
1.2900315295951006,
1.457144504274122,
1.3963180107358255,
-1.5721336921944447,
2.7584347596896412,
0.0038327088200167773,
-1.846338540295364,
-1.310598474834452,
1.469940166197323,
0.02391513426549464,
0.0030068281679985764,
0.005103581890062456,
-0.0033880967662027516,
-1.513471730536457... | {
"n_parameters": 45,
"n_qubits": 10,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 500 |
-6967344369790396192 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 4], [1, 5], [2, 4], [0, 3], [0, 5], [2, 3, 5], [1, 4]]} | {"states": [56, 7], "expectation_value": -3.052171627966624, "params": null, "bitstrings": ["000111", "111000"], "total_optimization_steps": 41, "probabilities": [0.022188260352502764, 0.8796748540580442], "optimization_time": 37.38229298591614} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(1) + 0.16666666666666674 * Z(5) + 0.1666... | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 3.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.25857690028615465) q[0];
h q[1];
ry(-0.5823527711044372) q[1];
h q[2];
ry(-0.6898495489238906) q[2];
h q[3];
ry(0.6767981064259732) q[3];
h q[4];
ry(0.835018955978355) q[4];
h q[5];
cx q[5], q[0];
ry(0.25857690028615465) q[0];
cx q[5], q[0];
ry(-0.43861607... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[5], 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 ... | [
"IZIIIZ",
"IZIIZI",
"ZIIIIZ",
"ZIIIZI",
"IZIZII",
"ZIIZII",
"IIZIIZ",
"ZIZIII",
"IIZZII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0,
0,
0,
0.16666666666666674,
0.16666666666666663,
0.16666666666666663
] | 0.976028 | [
-0.5171538005723093,
1.4476131045040006,
-1.1647055422088743,
1.67003791195671,
-0.8772321539837789,
1.3535962128519463,
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0.17149905240409172,
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0.018389139457551537,
-0.2753280962005102,
-0.08514182345727664,
0.36942450079462635,
0.38566066304280133... | {
"n_parameters": 35,
"n_qubits": 6,
"optimal_eigenvalue": -3.333333333333333,
"target_ratio": 0.97,
"target_value": -3.233333333333333
} | 8 |
5151777812028997366 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 4, 5, 7], [0, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 3, 6], [1, 2], [1, 6, 7, 8, 9], [0, 1, 3, 7, 8], [1, 3, 5], [1, 4, 9], [1, 5, 6]]} | {"states": [878, 366], "expectation_value": -2.431466703054196, "params": null, "bitstrings": ["0010010001", "1010010001"], "total_optimization_steps": 64, "probabilities": [0.09854642841729555, 0.7570662588477549], "optimization_time": 165.6586570739746} | 0.25 * (Z(1) @ Z(4)) + 0.09722222222222221 * (Z(5) @ Z(4)) + 0.41666666666666663 * (Z(5) @ Z(1)) + 0.09722222222222221 * (Z(7) @ Z(4)) + 0.18333333333333335 * (Z(7) @ Z(1)) + 0.09722222222222221 * (Z(7) @ Z(5)) + 0.013888888888888888 * (Z(0) @ Z(4)) + 0.13333333333333333 * (Z(0) @ Z(1)) + 0.013888888888888888 * (Z(0) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-2.511111111111112], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.51111111111111, "smallest_bitstrings": ["1010010001"], "largest_eigenvalue": 8.500000000000005} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.6516560523166903) q[0];
rz(-0.8839259919068971) q[0];
rx(2.2870006531253804) q[1];
rz(0.28111255701332283) q[1];
rx(0.03497983300034503) q[2];
rz(0.7716850068458792) q[2];
rx(1.7803609634926074) q[3];
rz(0.4736683846526657) q[3];
rx(1.6497421135231451) q[4];
rz(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.5665) 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]... | [
"IIIIIZIIZI",
"IIIIZZIIII",
"IIIIZIIIZI",
"IIZIIZIIII",
"IIZIIIIIZI",
"IIZIZIIIII",
"IIIIIZIIIZ",
"IIIIIIIIZZ",
"IIIIZIIIIZ",
"IIZIIIIIIZ",
"IIIIIZIZII",
"IIIIIIIZZI",
"IIIIZIIZII",
"IIZIIIIZII",
"IIIIIIIZIZ",
"IIIIIZZIII",
"IIIIIIZIZI",
"IIIIZIZIII",
"IIZIIIZIII",
"IIIIIIZIIZ"... | [
0.25,
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0.41666666666666663,
0.09722222222222221,
0.18333333333333335,
0.09722222222222221,
0.013888888888888888,
0.13333333333333333,
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0.06388888888888888,
0.013888888888888888,
0.5,
0.013888888888888888,
0.013888888888888888,
0.013888888888888888... | 0.970582 | [
0.6516560523166903,
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2.2870006531253804,
0.2770641829048114,
0.03497983300034503,
0.3712514018633967,
1.7803609634926074,
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1.6497421135231454,
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0.1345567957851893,
1.0619386892979445,
1.3549523292050962,
0.11485944793735302,
1.66... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -2.511111111111112,
"target_ratio": 0.97,
"target_value": -2.4357777777777785
} | 72 |
5ead2f429c96918822571a5b0efcbbf0 | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"sour... | {"states": [456, 457], "expectation_value": -3.6706991574730767, "params": [1.7118, 0.0011, 1.7037, 0.0022, 1.7104000000000001, 0.001, 0.0356, 0.0028, -0.0028, 0.0035, 1.7106000000000001, 0.0002, 0.5566, 0.0023, 0.27040000000000003, 0.008, 1.5754000000000001, 0.0032, 0.0083, 0.001, 0.0063, 0.007500000000000001, 0.0016,... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + -1.0 * Z(7) + 0.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(1) + -1.5 * Z(4) + -0.5 * Z(... | 3 | 9 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["000110110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.1268498620328464) q[0];
rz(1.3101664930914065) q[0];
rx(1.2059595637772331) q[1];
rz(1.683844867110679) q[1];
rx(1.4409691102057613) q[2];
rz(1.4886071267903613) q[2];
rx(-0.04615720398215214) q[3];
rz(2.500508176917771) q[3];
rx(0.10124515498514691) q[4];
rz(1.771... | 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",
"IIIIIZIZI",
"IZIIZIIII",
"IIIIZIIZI",
"IIZIIIIZI",
"IIIIIZZII",
"IIIZIZIII",
"IIIZZIIII",
"ZZIIIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IZIIIIIII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIZIIIIII",
"IIIIIIZII",
"IIIZIIIII",
"ZIIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1,
-1,
-1.5,
-0.5,
0,
-0.5,
-1
] | 0.977044 | [
1.1268498620328464,
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1.2059595637772331,
0.1130485403157826,
1.4409691102057613,
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0.9297118501228747,
0.10124515498514691,
0.20032440811991492,
1.7724668722367136,
-0.08788396243463753,
-0.0043074145285787735,
-0.3443269060746... | {
"n_parameters": 51,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 45 |
266260d621043cabf37512f90b4b26ac | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [86, 102], "expectation_value": -3.5822530552422482, "params": [0.4015, 0.0, 0.40640000000000004, -0.0034000000000000002, 0.4037, -0.0038, 0.0453, 0.0845, 0.4051, -0.0007, 0.4072, -0.0008, 0.0032, -0.1839, 0.4052, 0.0001, 0.4022, -0.0034000000000000002, 0.4061, -0.0044, 0.0553, 0.0285, 0.40850000000000003, -... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(2) + 0.0 * Z(1) + -0.5 * Z(5) + 0.0 * Z(4) | 4 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101001", "0011001"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.477898318581454) q[0];
h q[1];
ry(-0.4888733129307691) q[1];
h q[2];
cx q[2], q[1];
ry(0.4888733129307691) q[1];
cx q[2], q[1];
ry(-0.6924805366395752) q[1];
ry(1.0450823337261748) q[2];
cx q[0], q[2];
ry(-0.25224595363223157) q[2];
cx q[0], q[2];
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] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"ZIIZIII",
"ZIIIIIZ",
"IIIZZII",
"ZIIIZII",
"IIIIZZI",
"IZIZIII",
"ZZIIIII",
"IIZZIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIZII",
"IIIIIZI",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
-1,
0,
-0.5,
0
] | 0.998002 | [
-1.5808231262727073,
-1.495224561598988,
1.477898318581454,
-0.9777466258615382,
0.7928363800939433,
-0.4713266192410723,
0.5044919072644631,
-0.44230783479700575,
0.11582191220683138,
-0.1832459711098804,
-0.009696904386748695,
0.19372804678613653,
0.11888128948169988,
0.0742715900397142,... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
d6ca78958a015bca449989b3cc828628 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [677, 741], "expectation_value": -3.543157331379898, "params": [[1.4044, 0.0025, 1.3752, 0.4257, 1.3766, 0.0024000000000000002, -0.3437, 1.2849000000000002, 0.0023, 1.2466000000000002], [0.24830000000000002, 0.0023, 0.7357, 0.0882, 0.7377, 0.0027, 0.39280000000000004, 1.061, 0.0026000000000000003, -0.2108000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(6) @ Z(4... | 10 | 10 | 2 | {"smallest_eigenvalues": [-4.125, -4.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.125, "smallest_bitstrings": ["0100010011", "0100011010"], "largest_eigenvalue": 5.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.4045751282710122) q[0];
rz(pi/2) q[0];
ry(0.6816005629861718) q[1];
ry(1.8376207076971505) q[2];
ry(0.6829995480513509) q[3];
ry(1.4492712809194404) q[4];
ry(-0.0846059078972762) q[5];
ry(-0.19128764720461447) q[6];
ry(1.8677165242780502) q[7];
ry(0.03043305180600... | 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",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIZIIZIII",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIIZZIIZ",
"IIIIZIZIIZ",
"IIIZIIZIIZ",
"IIIIZZIIIZ",
"IIIZIZIIIZ",
"IIIZZIIIIZ"... | [
0.25,
0.25,
0.25,
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0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
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-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.25,
0.25... | 0.970394 | [
1.4045751282710122,
0.6816005629861718,
1.8376207076971505,
0.6829995480513509,
1.4492712809194404,
-0.0846059078972762,
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1.8677165242780502,
0.030433051806005987,
1.684436087595031,
2.3889462813476596,
0.3885995382391464,
0.07537670339774295,
1.8102815052960888,
-1.... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -4.125,
"target_ratio": 0.97,
"target_value": -4.00125
} | 75 |
7bc4dde9a09d0b94c5097b219891d81a | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [48615, 48855], "expectation_value": -9.7046743031311, "params": [[0.065, 0.057600000000000005, 0.0641, 0.0685], [-0.0717, -0.052500000000000005, -0.0507, -0.0502]], "bitstrings": ["0100001000011000", "0100000100101000"], "total_optimization_steps": 10, "probabilities": [0.00015773261792980794, 0.00015773629... | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.25 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(... | 1 | 16 | 4 | {"smallest_eigenvalues": [-19.99999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999897, "smallest_bitstrings": ["0100000100101000"], "largest_eigenvalue": 68.00000000000034} | 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] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 0}, {"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 0}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIZIIZIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIIIIIZZIII",
"IIIIIII... | [
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0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
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0.25,
0.25,
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0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
... | 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 |
-375593607637316818 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 4, 7], [1, 4], [3, 4, 6], [1, 2, 3, 5, 7], [2, 4, 5], [0, 1], [0, 6]]} | {"states": [156, 157], "expectation_value": -0.043674270173838126, "params": [[-0.0589], [0.0703]], "bitstrings": ["01100011", "01100010"], "total_optimization_steps": 10, "probabilities": [0.004192928102726192, 0.004193574220825787], "optimization_time": 3.6030056476593018} | 0.05 * (Z(0) @ Z(2)) + 0.1 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(0)) + 0.21666666666666667 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(0)) + 0.21666666666666667 * (Z(4) @ Z(3)) + 0.1 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(0)) + 0.1 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(4)) + 0.05 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.05 * (Z(1) @ Z(3... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5666666666666673], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.366666666666667, "smallest_bitstrings": ["01100010"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(-0.18637206951322677) q[1];
cx q[0], q[1];
ry(0.18637206951322677) q[1];
cx q[0], q[1];
ry(1.3343058544780666) q[0];
ry(-0.4781873493592053) q[1];
h q[2];
ry(-0.14214448660417175) q[2];
ry(-2.8334645714809223) q[3];
rz(-pi) q[3];
h q[4];
ry(1.51922478... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IIIZIZII",
"IIIZIIIZ",
"IIIZZIII",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIZIIII",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZIZI",
"IIIZIIZI",
"ZIIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"IZIZIIII",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"ZIZIIIII",
"IIZIIIZ... | [
0.05,
0.1,
0.05,
0.21666666666666667,
0.05,
0.21666666666666667,
0.1,
0.05,
0.1,
0.05,
0.05,
0.5,
0.05,
0.5,
0.05,
0.5,
0.16666666666666666,
0.16666666666666666,
0.21666666666666667,
0.05,
0.16666666666666666,
0.05,
0.05,
0.3666666666666667,
0.09999999999999987,
0.3... | 0.977425 | [
1.5192247898869722,
-0.37274413902645354,
1.3343058544780666,
-0.9563746987184106,
-1.3639506225842488,
0.2549292570643341,
1.1480147761127266,
-0.10546516125410833,
0.22930693714659825,
-0.39910123392891395,
-0.014444094153876402,
0.7087723490782184,
-0.2842889732083435,
0.549080178712673... | {
"n_parameters": 44,
"n_qubits": 8,
"optimal_eigenvalue": -2.5666666666666673,
"target_ratio": 0.97,
"target_value": -2.4896666666666674
} | 19 |
93141c357d164fcf2a36ba666f8f01e3 | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 2, "target": 3}, {"source": 1, "target": 3}]} | {"states": [2973, 3485], "expectation_value": -7.595739532765845, "params": null, "bitstrings": ["010001100010", "001001100010"], "total_optimization_steps": 100, "probabilities": [0.05944826069420597, 0.8620316846393108], "optimization_time": 352.9686517715454} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.75, "smallest_bitstrings": ["001001100010", "100100001010", "001001010100", "010010100001", "010010001100", "100100010001"], "largest_eigenvalue": 23.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1714898456555271) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.1714898456555271) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1714898456555271) q[1];
cx q[1], q[0];
rz(-0.24938667349607663) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
... | null | {"number_of_colors": 3} | {"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];\nry(1.5706) q[11];\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];... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIIIIIIIZ",
"IIZIIZIIIIII",
"IIZIIIIIZ... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1.25,
1.25,
1.25,
1,
1,
1,
1.25,
1.25,
1.25
] | 0.525188 | [
0.1714898456555271,
-0.24938667349607663,
1.1176635259891476,
0.8103834446690221,
-0.7718739166458187
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 163 |
01c509cf41fe904ef36f9c73fa58f4df | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [206, 110], "expectation_value": -8.175078987457304, "params": [[-0.0483], [0.06620000000000001]], "bitstrings": ["00110001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.00692474065722731, 0.007792380648219693], "optimization_time": 1.6007254123687744} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(3) @ Z(6)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(4) @ Z(6)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 10.0 * Z(1) + 2.0 * Z(0) + 13.0 * Z(2) + 17.5 * Z(5) + 1... | 1 | 8 | 1 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -56.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 134.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.6067730635277808) q[0];
ry(0.0068978171400194965) q[0];
rz(-2.165295187823308) q[0];
rz(-0.9320305873596415) q[1];
ry(2.9546423754659843) q[1];
rz(1.5962878589443843) q[1];
rz(1.94887746650212) q[2];
ry(0.10017209095800164) q[2];
rz(-2.4547303306903094) q[2];
rz(-2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIZII",
"IZZIIIII",
"IIIIZIZI",
"IIZIZIII",
"IZIIZIII",
"IIZZIIII",
"IZIZIIII",
"IIIZZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII"
] | [
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,
2,
13,
17.5,
10.5,
10,
16.5,
0.5
] | 0.977898 | [
0.0034511417619457353,
0.07195304533925116,
1.2739833284948667,
-0.123054125877101,
0.005011551244307841,
0.3973837165633978,
1.905775237438528,
0.06934632738707407,
-0.07347402081215618,
0.21084071151892464,
0.02816020830904334,
-0.5182778496141923,
1.303011955708514,
0.0862986415836879,
... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 24 |
b86265187bfb2c2bd15ec1f4006924d5 | 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": 2}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 1, "s... | {"states": [183, 247], "expectation_value": -0.6673648204173078, "params": [[0.0805], [-0.08610000000000001]], "bitstrings": ["101001000", "100001000"], "total_optimization_steps": 10, "probabilities": [0.0029204914030005235, 0.0029967785957755585], "optimization_time": 2.572430372238159} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(0)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + 2.0 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(5)) + -0.5 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(4)) + -0.75 * (Z(7) @ Z(3)) + -1.25 * (Z(6) @ Z(7)) + 0.5 * Z(2) + -0... | 1 | 9 | 1 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["110001000", "100001000"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(3.685059401018232e-05) q[0];
h q[1];
ry(-1.5708155462904343) q[1];
h q[2];
ry(0.9018705010001372) q[2];
h q[3];
ry(0.7853862989358963) q[3];
h q[4];
cx q[4], q[3];
ry(-0.7853862989358963) q[3];
cx q[4], q[3];
ry(0.6154780182089798) q[4];
cx q[3], q[4];
ry(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZZIII",
"IIIIZIIZI",
"ZIIIIIIIZ",
"ZIIZIIIII",
"ZIIIIZIII",
"ZIIIZIIII",
"IZIIIZIII",
"IZZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIZIIII",
"ZIIIIIIII",
"IZIIIIIII",
"... | [
-0.5,
-0.25,
-1.25,
-0.75,
-0.5,
-1,
-0.5,
2,
-0.75,
-0.5,
-0.75,
-0.75,
-1.25,
0.5,
-0.25,
-0.75,
0.5,
-1,
0.25,
0,
0.5,
0.25
] | 0.865385 | [
0.00007370118802036464,
1.5707072515823253,
-1.5708155462904343,
-1.1688358836808752,
-1.570828949867654,
1.5707910455009648,
1.2309592359001011,
1.5707725978717926,
1.2309560364179597,
-0.08934536690285415,
1.8037410020002744,
0.8665372509893933,
0.08932064453762892,
-0.31759351157133014,... | {
"n_parameters": 29,
"n_qubits": 9,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 500 |
eae6e1843b1a1da722a560d42ddc605e | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 7, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "so... | {"states": [20034, 3650], "expectation_value": -47.91558389713911, "params": [[[-0.0511, 0.2295], [-0.011600000000000001, 0.7765000000000001], [0.0031000000000000003, -0.0014], [0.9464, 0.0014], [1.5728, 0.0027], [1.5676, 0.0018000000000000002], [0.7615000000000001, 0.0025], [0.0085, -0.0033], [1.2564, 0.00290000000000... | 0.5 * (Z(9) @ Z(13)) + 2.0 * (Z(14) @ Z(13)) + 1.0 * (Z(14) @ Z(9)) + 0.5 * (Z(10) @ Z(13)) + 1.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(14)) + -0.5 * (Z(3) @ Z(13)) + -1.0 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @ Z(14)) + -1.0 * (Z(3) @ Z(10)) + -1.0 * (Z(4) @ Z(13)) + -2.0 * (Z(4) @ Z(9)) + -2.0 * (Z(4) @ Z(14)) + -2.0 * (Z(4) ... | 15 | 15 | 2 | {"smallest_eigenvalues": [-50.299999999998825], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.49999999999735, "smallest_bitstrings": ["111000110111101"], "largest_eigenvalue": 236.7} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(0.5287683305396388) q[0];
rz(-0.9268161683756726) q[0];
ry(-0.10217808819744198) q[1];
rz(-0.5783418667524092) q[1];
cx q[1], q[0];
ry(-1.3603505767600765) q[0];
rz(-0.36039689834795685) q[0];
ry(1.406360281513575) q[1];
rz(-0.1575741085837699) q[1];
ry(0.3651799173... | 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": []} | [
"IZIIIZIIIIIIIII",
"ZZIIIIIIIIIIIII",
"ZIIIIZIIIIIIIII",
"IZIIZIIIIIIIIII",
"IIIIZZIIIIIIIII",
"ZIIIZIIIIIIIIII",
"IZIIIIIIIIIZIII",
"IIIIIZIIIIIZIII",
"ZIIIIIIIIIIZIII",
"IIIIZIIIIIIZIII",
"IZIIIIIIIIZIIII",
"IIIIIZIIIIZIIII",
"ZIIIIIIIIIZIIII",
"IIIIZIIIIIZIIII",
"IIIIIIIIIIZZIII",
"... | [
0.5,
2,
1,
0.5,
1,
1,
-0.5,
-1,
-1,
-1,
-1,
-2,
-2,
-2,
2,
-2,
-4,
-4,
-4,
4,
8,
-0.5,
-0.5,
-1,
-0.5,
0.5,
1,
2,
-1,
-1,
-2,
-1,
1,
2,
4,
1,
-1,
-1,
-2,
-1,
1,
2,
4,
1,
2,
-0.5,
-0.5,
0.5,
1,
2,
-1,
-1,
1,
2,
... | 0.970009 | [
0.5287683305396388,
-0.9268161683756726,
-0.10217808819744198,
-0.5783418667524092,
0.3651799173691933,
-0.018062084229981658,
-0.11231870523909311,
-0.30089759223859436,
0.07895868410809148,
-0.7051755962413225,
-0.0798961034276176,
0.7214745887194091,
0.4044205759634726,
0.84351668159837... | {
"n_parameters": 157,
"n_qubits": 15,
"optimal_eigenvalue": -50.299999999998825,
"target_ratio": 0.97,
"target_value": -48.79099999999886
} | 149 |
-5368182025704786211 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3], [5, 7], [3, 7], [2, 7], [1, 2], [3, 5], [0, 2], [5, 6], [0, 7], [4, 6]]} | {"states": [188, 220], "expectation_value": -2.6459342650759057, "params": null, "bitstrings": ["01000011", "00100011"], "total_optimization_steps": 68, "probabilities": [0.04894271543124526, 0.6950916641812755], "optimization_time": 96.85707235336304} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(4... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["11011100", "11010011", "11010010", "10101100", "00101101", "01010011", "00100011", "00101100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.6159174073233068) q[2];
cx q[3], q[2];
h q[4];
h q[5];
cx q[3], q[5];
rz(0.6159174073233068) q[5];
cx q[3], q[5];
h q[6];
h q[7];
cx q[3], q[7];
rz(0.6159174073233068) q[7];
cx q[3], q[7];
cx q[2], q[7];
rz(6.972908028... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[5], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIIZZII",
"IIZIZIII",
"ZIIIZIII",
"ZIIIIZII",
"ZIZIIIII",
"IIIIIZZI",
"IIIIIZIZ",
"ZIIIIIIZ",
"IZZIIIII",
"IZIZIIII",
"IIIIZIII",
"IIIIIZII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IZIIIIII",
"IIIZIIII"
] | [
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
] | 0.529535 | [
0.6159174073233068,
6.972907985715635e-8,
-0.6795994550118676
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 96 |
a2309e736a2db650b81578db287977a0 | 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": 2, "target": 3}, {"source": 4, "... | {"states": [4061, 4095], "expectation_value": -18.502710741046727, "params": null, "bitstrings": ["000000100010", "000000000000"], "total_optimization_steps": 100, "probabilities": [0.05785476433719917, 0.31579145927014873], "optimization_time": 351.4355854988098} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -2.5 * (Z(7) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + -2.5 * (Z(9) @ Z(7)) + -2.5 * (Z(10) @ Z(8)) + -2.5 * (Z(10) @ Z(7)) + ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-32.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.0, "smallest_bitstrings": ["000000000000"], "largest_eigenvalue": 25.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.03624717926991564) q[0];
ry(-0.042746751455757015) q[1];
ry(0.11007595805879389) q[2];
ry(-0.08044088888265852) q[3];
ry(-0.03008205882249275) q[4];
ry(0.32321326125760996) q[5];
ry(0.06935856228027995) q[6];
ry(0.0993194072192877) q[7];
ry(-0.09598427848531083) q... | null | {"node": 3} | {"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(1.5708) q[7], 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... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZZIII",
"IIIIIZIZIIII",
"IIIIIZIIZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZZIIIII",
"IIIZZIIIIIII",
"IIZZIIIIIIII",
"IIZIZIIIIIII",
"IZIZIIIIIIII",
"IZIIZIIIIIII",
"IZZIIIIIIIII",
"ZIIZIIIIIIII",
"ZIIIZIIIIIII",
"ZIZIIIIII... | [
-1.5,
-2,
0.5,
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-2.5,
1,
-2.5,
-2.5,
-2.5,
-2.5,
-2,
-2.5,
1,
-2.5,
1,
0.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.972227 | [
0.03624717926991564,
-0.042746751455757015,
0.11007595805879389,
-0.08044088888265852,
-0.03008205882249275,
0.32321326125760996,
0.06935856228027995,
0.0993194072192877,
-0.09598427848531083,
-0.3620204882788015,
2.8934472258466735,
0.0002087433137464012,
0.04517572832599563,
-0.003261160... | {
"n_parameters": 17,
"n_qubits": 12,
"optimal_eigenvalue": -32,
"target_ratio": 0.97,
"target_value": -31.04
} | 17 |
be472b2016026c5093c540b6b797236b | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, ... | {"states": [382, 366], "expectation_value": -2.9694286113848123, "params": [0.0179, 0.4646, 0.6921, -0.10700000000000001, 0.1029, -0.29410000000000003, 0.6940000000000001, -0.0273, 0.48300000000000004, -0.21880000000000002, 0.4248, -0.1705, 0.7067, -0.0102, 0.7008, 0.002, 0.6924, 0.0067, -0.0047, 0.44220000000000004, 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)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(2) @ Z(6)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(3) @ Z(7)) + -0.25 * (Z(0) @ Z(3) @ Z(7)) ... | 18 | 10 | 4 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.5625, "smallest_bitstrings": ["1001010001", "1000110001", "0101001001", "1000101001", "0111000001", "1010000011", "01100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.11165047736061574) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.11165047736061574) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.11165047736061574) q[1];
cx q[3], q[1];
rz(0.6801004226265079) q[3];
rx(1.8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIZZZII",
"IIIIZIIZII",
"IIIZIIIZII",
"IIIZZIIIII",
"IIIZZIIZII",
"IIIIIIZIIZ",
"IIZIIIIIIZ",
"IIZIIIZIII",
"IIZIIIZIIZ",
"IIIIIZIIZI",
"IIIIZIIIZI",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IIIIZZIIII",
"IIZIIZIIII",
"IZIIIZIIII"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
... | 0.949988 | [
0.11165047736061574,
0.6801004226265079,
-1.2793669971327344,
1.906877128597564,
-0.2048939820595919,
1.8032456787499715,
-0.5439094982994973,
0.94195206775595,
0.8232072892909775,
-1.3535390962714295,
0.5164659028424529,
-0.8711557630337686,
2.0150652390121726,
-0.5314133466484031,
3.15... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 500 |
9f43fe75b2280c840369a5d99b502e49 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [14, 42], "expectation_value": -4.496398064640491, "params": null, "bitstrings": ["1110001", "1010101"], "total_optimization_steps": 27, "probabilities": [0.06635227037020759, 0.9303267404393483], "optimization_time": 27.34125304222107} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(5) + -1.0 * Z(4) + -0.5 * Z(1) + -1.5 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1110001", "1010101", "1001101"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.13798124840612863) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.13798124840612863) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.13798124840612863) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.13798124840612863) q[4];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) 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", ... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IZIIIIZ",
"IIZIZII",
"IIZIIZI",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"IIZIIII",
"IIIIIZI",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-0.5,
-1,
-0.5,
-1.5
] | 0.833582 | [
0.13798124840612863,
1.1427837653768327,
-1.8894360710812084,
1.440063164765446,
1.845482091247767,
-1.5875174889768033,
3.8510997105473463,
-1.0746530285980647,
2.8299754779374093,
0.45330398543812134
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 298 |
f619afa25c1921f996d128a1dfefef72 | 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": 2}, {"source": 0, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [22, 27], "expectation_value": -0.429553828826023, "params": [[-0.06810000000000001, -0.0648, -0.0819], [0.0695, 0.06910000000000001, 0.0762]], "bitstrings": ["101001", "100100"], "total_optimization_steps": 10, "probabilities": [0.02363973972901093, 0.027139454817303368], "optimization_time": 4.398130416870... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(4) + -0.5 * Z(3) + 0.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100100"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.4936559659629063) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.013500835409830762) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.013500835409830762) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(1.4936559659629063) q[3];
cx q[2], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IZIIIZ",
"IIZZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1,
-0.5,
0,
-0.5,
0
] | 0.974012 | [
1.4936559659629063,
0.013500835409830762,
-0.004945064526051042,
0.0475064589351132,
-0.0973573450378921,
-0.024370407967199997,
0.09398041354422079,
-0.7569490972859623
] | {
"n_parameters": 8,
"n_qubits": 12,
"optimal_eigenvalue": -1.52,
"target_ratio": 0.97,
"target_value": -1.4744
} | 27 |
36fc1c5be2c91695283e8185a1ebb45b | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [21, 37], "expectation_value": -3.996397945306564, "params": null, "bitstrings": ["1101010", "1011010"], "total_optimization_steps": 31, "probabilities": [0.06635230077962434, 0.9303266047475932], "optimization_time": 19.45870280265808} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(1) + -1.0 * Z(3) + -0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["0011101", "1100101", "1101010", "0110101", "1011010"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.590672093523573) q[0];
rz(pi/2) q[0];
ry(0.48554281214560124) q[1];
ry(0.24698811501930573) q[2];
ry(0.013091478036814153) q[3];
ry(0.926188328539264) q[4];
ry(0.943892538476665) q[5];
ry(0.15494952665883352) q[6];
ry(0.03949562253087151) q[7];
ry(0.940475882142962... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIZIIIZ",
"ZIIIIIZ",
"IIIIZZI",
"IIZZIII",
"ZIIZIII",
"IIIZIZI",
"IZZIIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1,
-1,
-0.5,
-1,
-0.5
] | 0.9741 | [
0.590672093523573,
0.48554281214560124,
0.24698811501930573,
0.013091478036814153,
0.926188328539264,
0.943892538476665,
0.15494952665883352,
0.03949562253087151,
0.9404758821429625,
0.8843617937735004,
-0.6819864428671916,
0.1079809927660766,
0.030404993430774394,
-0.17637413776864358,
... | {
"n_parameters": 72,
"n_qubits": 9,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 35 |
6fb2c7497f239255137102dbdcc36d61 | 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": [681, 677], "expectation_value": -44.526076808753665, "params": [[[0.49450000000000005, 0.1486], [0.5036, 0.28290000000000004], [-0.023, 0.1227], [0.5021, 0.1904], [0.2867, 0.28850000000000003], [0.49910000000000004, 0.3936], [0.2669, 0.49200000000000005], [0.24080000000000001, 0.08850000000000001], [0.48860... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(9) @ Z(8)) + 6.5 * (Z(10) @ Z(4)) + 6.5 * (Z(10) @ Z(9)) + 1.5 * Z(0) + 7.0 * Z(1) + 5.0 * Z(4) + 6.5 * Z(3) + 0.5 * Z(6) + 8.0 * Z(5) + 0.5 * Z(7) + 8.5 * Z... | 15 | 11 | 4 | {"smallest_eigenvalues": [-104.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -88.5, "smallest_bitstrings": ["10101011010"], "largest_eigenvalue": 120.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.2187110988936718) q[0];
ry(0.5611701908450253) q[1];
ry(-0.23991974986269293) q[2];
ry(1.089060484714819) q[3];
ry(0.043780001867135404) q[4];
ry(0.8485286547196425) q[5];
ry(0.36797474375469) q[6];
ry(-0.2702801876590481) q[7];
ry(0.42724274193581) q[8];
ry(0.143... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZZIII",
"IIIIZIIIIZI",
"IIIIIZIIIIZ",
"IIIIZZIIIII",
"IIIZIIIZIII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"ZIIIIIZIIII",
"ZZIIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIZIIIIIIII",
"IZIIIIIII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
1.5,
7,
5,
6.5,
0.5,
8,
0.5,
8.5,
0.5,
7.5,
-10
] | 0.972039 | [
1.2187110988936718,
0.5611701908450253,
-0.23991974986269293,
1.089060484714819,
0.043780001867135404,
0.8485286547196425,
0.36797474375469,
-0.2702801876590481,
0.42724274193581,
0.14325511610635916,
0.3001640573247693,
-0.05438034065843579,
-0.04180149705118771,
-0.02949233833500873,
-... | {
"n_parameters": 83,
"n_qubits": 11,
"optimal_eigenvalue": -104.5,
"target_ratio": 0.97,
"target_value": -101.365
} | 97 |
2818687791134424719 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 4, 5, 7], [1, 3, 5, 9], [0, 9, 3, 6], [5, 6, 7], [9, 2, 4, 7], [9, 3, 4], [3, 4, 7], [0, 5, 7], [8, 4], [1, 2, 11, 6], [8, 6], [1, 2, 3, 5], [9, 2, 6], [8, 1, 10, 9], [0, 1, 10], [1, 10, 3, 4], [1, 2, 4], [9, 10, 5, 1], [3, 11], [9, 11, 7], [9, 4, 5],... | {"states": [4028, 4024], "expectation_value": -8.006182982563082, "params": [2.6925000000000003, -0.0023, 2.8852, -0.002, 3.0909, -0.0017000000000000001, 2.4043, 0.0118, 3.1447000000000003, -0.7134, 0.1413, -0.8166, 2.6584000000000003, 0.0029000000000000002, 3.0358, -0.0033, 3.1409000000000002, -0.0112, 1.5224, 0.97390... | 0.3333333333333333 * (Z(1) @ Z(6)) + 0.25 * (Z(7) @ Z(6)) + 0.5833333333333333 * (Z(7) @ Z(1)) + 0.5833333333333333 * (Z(9) @ Z(6)) + 0.3333333333333333 * (Z(9) @ Z(1)) + 0.5833333333333333 * (Z(9) @ Z(7)) + 0.49999999999999994 * (Z(5) @ Z(6)) + 0.49999999999999994 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(7)) +... | 4 | 12 | 1 | {"smallest_eigenvalues": [-8.250000000000002], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.249999999999998, "smallest_bitstrings": ["000001000111"], "largest_eigenvalue": 33.49999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(2.698504508186427) q[0];
rz(1.5527533564115945) q[0];
rx(2.8901145897928817) q[1];
rz(1.4324344665800979) q[1];
rx(3.0807793918823676) q[2];
rz(1.632239791670937) q[2];
rx(2.2013380589314795) q[3];
rz(1.6445810496704212) q[3];
rx(3.0755678531386943) q[4];
rz(0.88764... | 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": []} | [
"IIIIIZIIIIZI",
"IIIIZZIIIIII",
"IIIIZIIIIIZI",
"IIZIIZIIIIII",
"IIZIIIIIIIZI",
"IIZIZIIIIIII",
"IIIIIZZIIIII",
"IIIIIIZIIIZI",
"IIIIZIZIIIII",
"IIZIIIZIIIII",
"ZIIIIZIIIIII",
"ZIIIIIIIIIZI",
"ZIIIZIIIIIII",
"ZIZIIIIIIIII",
"ZIIIIIZIIIII",
"IIIIIZIIIIIZ",
"IIIIIIIIIIZZ",
"IIIIZIIII... | [
0.3333333333333333,
0.25,
0.5833333333333333,
0.5833333333333333,
0.3333333333333333,
0.5833333333333333,
0.49999999999999994,
0.49999999999999994,
0.3333333333333333,
0.3333333333333333,
0.41666666666666663,
0.3333333333333333,
0.3333333333333333,
0.25,
0.3333333333333333,
0.166666666... | 0.971807 | [
2.698504508186427,
-0.018042970383302364,
2.8901145897928817,
-0.13836186021479874,
3.0807793918823676,
0.06144346487604077,
2.2013380589314795,
0.07378472287552441,
3.0755678531386943,
-0.6831525592516322,
0.12050587126082413,
-0.7162687062754205,
2.6660146988925053,
0.10137796790971569,
... | {
"n_parameters": 34,
"n_qubits": 12,
"optimal_eigenvalue": -8.250000000000002,
"target_ratio": 0.97,
"target_value": -8.002500000000001
} | 2 |
aa017fe03799a772a3aff0770f4d70b4 | 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": 4, "source": 0, "target": 5}, {"capacity": 1, "source": 3, "target": 6}, {"capacity": 2, "source": 5, "target": 1}, {"capacity": 2, "source": 5, "target": 2... | {"states": [11, 15], "expectation_value": -3.499984296406191, "params": null, "bitstrings": ["1110100", "1110000"], "total_optimization_steps": 18, "probabilities": [0.1249982611471617, 0.1249982611471617], "optimization_time": 16.18194603919983} | -1.0 * (Z(0) @ Z(5)) + -1.0 * (Z(6) @ Z(5)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z(5)) + 1.5 * Z(5) + -0.25 * Z(0) + 0.0 * Z(6) + 0.25 * Z(3) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000100", "1000000", "1010100", "1010000", "1100100", "1100000", "1110110", "1110100", "1110000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.7202482055888763) q[0];
h q[1];
h q[2];
h q[3];
ry(0.6763684963105008) q[3];
h q[4];
h q[5];
ry(1.544949320168152) q[5];
h q[6];
ry(0.7842758172411688) q[6];
cx q[5], q[6];
ry(-0.7842758172411688) q[6];
cx q[5], q[6];
cx q[6], q[0];
ry(0.7202482055888763) ... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IZIIIIZ",
"ZZIIIII",
"ZIIIIIZ",
"ZIIZIII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
-1,
-1,
1.25,
-0.25,
-0.5,
-0.5,
-0.5,
1.5,
-0.25,
0,
0.25,
-0.5,
-0.5,
-0.5
] | 0.997887 | [
1.544949320168152,
1.5685516344823376,
-1.4404964111777525,
1.3527369926210016,
-0.21987719305568587,
0.09712159271413541,
0.06523432631452608,
-0.047813366282852085
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
-5597771992919260360 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[3, 12], [8, 2], [9, 10], [3, 7], [6, 7], [0, 11, 12], [11, 6], [0, 4], [8, 5, 6], [2, 12, 7], [8, 4], [10, 11, 5], [10, 7], [1, 2]]} | {"states": [1451, 6331], "expectation_value": -0.04328370153007498, "params": [[0.047], [-0.0376]], "bitstrings": ["1101001010100", "0011101000100"], "total_optimization_steps": 10, "probabilities": [0.00013149818091904526, 0.00013178384373536143], "optimization_time": 4.344600677490234} | 0.5 * (Z(3) @ Z(12)) + 0.16666666666666666 * (Z(2) @ Z(12)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(9) @ Z(10)) + 0.16666666666666666 * (Z(7) @ Z(12)) + 0.5 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(10)) + 0.16666666666666666 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z... | 1 | 13 | 1 | {"smallest_eigenvalues": [-5.999999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.666666666666665, "smallest_bitstrings": ["0011101000100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] 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[10], q[9];
rz(0.8004371319483462) q[9];
cx q[10], q[9];
rz(-0.256871068985971) q[9];
rx(-0.8101320044370566) q[9];
h q[11];
h q[12];
cx q[12], q[3];
rz(0.8004371319483462) 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;
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
cx q[12], q[3];
rz(x0) q[3];
cx q[12], q[3];
cx q[1... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIIIZIII",
"ZIIIIIIIIIZII",
"IIIIZIIIIIZII",
"IIZZIIIIIIIII",
"ZIIIIZIIIIIII",
"IIIIIZIIIZIII",
"IIIIIZIIIIZII",
"IIZIIZIIIIIII",
"IIIIZIZIIIIII",
"IIIIIZZIIIIII",
"ZIIIIIIIIIIIZ",
"ZZIIIIIIIIIII",
"IZZIIIIIIIIII",
"IZIIIIZIIIIII",
"IZIIIIIIIIIIZ",
"IIIIZIIIZIIII",
"IIIIIIIIZII... | [
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
... | 0.492577 | [
0.8004371319483462,
0.116849208205732,
0.8269526135800662,
-0.25687106898597134,
-0.8101320044370568
] | {
"n_parameters": 5,
"n_qubits": 13,
"optimal_eigenvalue": -5.999999999999999,
"target_ratio": 0.97,
"target_value": -5.819999999999999
} | 133 |
692078130164232595 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1], [0, 3], [1, 4], [8, 2], [1, 2], [9, 7], [2, 6], [8, 6], [4, 7], [5, 6], [9, 6], [5, 7], [3, 5], [2, 5], [8, 5], [0, 6], [3, 7], [4, 6], [0, 8]]} | {"states": [350, 334], "expectation_value": -0.7742753564970039, "params": [0.6896, 0.063, 0.6777000000000001, 0.0015, 0.6990000000000001, -0.019, 0.6968000000000001, 0.006500000000000001, 0.7014, 0.034, 0.6895, 0.004200000000000001, 0.7038, -0.0374, 0.7024, 0.0032, 0.6900000000000001, 0.1408, 0.4923, 0.0066, 0.6958000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(5) ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["1010110001", "0101001110"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.05983114475698751) q[0];
rz(1.7234482510394216) q[0];
rx(1.680914325483621) q[1];
rz(1.5685555631516186) q[1];
rx(0.8677002831421842) q[2];
rz(1.6674061911234581) q[2];
rx(1.3955050490864) q[3];
rz(1.1354067576222526) q[3];
rx(0.5446023612657481) q[4];
rz(1.589900... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IZIIIIIIIZ",
"IIIIIIIZZI",
"IZIIIIIZII",
"IIZIIIZIII",
"IIZIIZIIII",
"ZIZIIIIIII",
"IIIZIIIIIZ",
"IIIZIZIIII",
"IZIZIIIIII",
"IIIZIIIZII",
"ZIIZIIIIII",
"IIIIZIZIII",
"IZIIZIIIII",
"IIIIZIIZII",
"IIZIZIIIII",
"IIIZZIIIII",
"IIIIIIIIZI"... | [
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
] | 0.970586 | [
0.05983114475698752,
0.15265192424452526,
1.680914325483621,
-0.002240763643277845,
0.8677002831421842,
0.09660986432856114,
1.3955050490864003,
-0.4353895691726442,
0.5446023612657481,
0.01910395615198337,
0.2441816604450482,
0.23585536149542313,
1.4769984716053959,
-0.06377723097363285,
... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 163 |
82a9b805089c1b1c13eff0722cc99710 | 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": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "s... | {"states": [1, 65], "expectation_value": -10.999999490159968, "params": null, "bitstrings": ["111111110", "110111110"], "total_optimization_steps": 34, "probabilities": [0.00012303071764065422, 0.9998764648011279], "optimization_time": 46.33837294578552} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @... | 1 | 9 | 2 | {"smallest_eigenvalues": [-11.0, -11.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["110111110", "111111110"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.129749767988939) q[0];
rz(1.8507290898757516) q[0];
rx(-0.108662880652448) q[1];
rz(2.3681113194574674) q[1];
rx(0.004536411622978497) q[2];
rz(2.133366640905808) q[2];
rx(-0.10866288065244802) q[3];
rz(2.2931739779397198) q[3];
rx(0.03940300495578412) q[4];
rz(2.0... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\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] = ... | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIZZIIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIZIIII",
"IZIZIIIII",
"IIIIIIZZI",
"IIIIIZZII",
"IIIZIIZII",
"IZIIIIZII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"... | [
-0.25,
-0.5,
-0.25,
-0.75,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
2,
-0.5,
-0.25,
-0.25,
0.25,
-0.25,
-1.25,
0.25,
0.5,
-1.75,
0.75,
1.5,
0
] | 0.970637 | [
0.129749767988939,
0.2799327630808552,
-0.108662880652448,
0.7973149926625709,
0.004536411622978496,
0.5625703141109113,
0.7223776511448223,
0.039403004955784124,
0.4882744886423105,
0.06586133065035979,
0.5072858765314702,
0.5112305744463932,
0.389718831934279,
1.3419583646118771,
-0.13... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 7 |
-5195831292867703356 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4], [2, 4], [1, 5], [2, 3, 5], [5, 6], [0, 3]]} | {"states": [70, 57], "expectation_value": -2.445503605038245, "params": [[[2.1869, 0.003], [-0.0026000000000000003, 0.0027], [0.1564, 0.0081], [3.1395, 0.0039000000000000003], [0.0017000000000000001, 0.0034000000000000002], [3.1396, 0.0037], [1.6051, 0.0014]]], "bitstrings": ["0111001", "1000110"], "total_optimization_... | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.0 * Z(4) + 0.16666666666666674 * Z(3) + 0.16666666666666663 * Z(2) + 0.16666666666666674 * Z(5... | 2 | 7 | 1 | {"smallest_eigenvalues": [-2.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000110"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.9745053982371106) q[3];
cx q[4], q[3];
cx q[4], q[2];
rz(-0.9745053982371106) q[2];
cx q[4], q[2];
cx q[3], q[2];
rz(-0.013980265919903884) q[2];
cx q[3], q[2];
rz(0.010306916410358191) q[4];
rx(0.773785440580... | 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": []} | [
"IIZZIII",
"IIZIZII",
"IIIZZII",
"IZIZIII",
"IZIIZII",
"IZIIIZI",
"ZZIIIII",
"IIIZIIZ",
"IIZIIII",
"IIIZIII",
"IIIIZII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIIIZ"
] | [
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0,
0.16666666666666674,
0.16666666666666663,
0.16666666666666674,
0,
0,
0
] | 0.526894 | [
-0.9745053982371106,
-0.013980265919903884,
0.0103069164103583,
0.7737854405808111
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -2.833333333333334,
"target_ratio": 0.97,
"target_value": -2.748333333333334
} | 115 |
6454289479109820289 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 5, 6], [0, 1, 2, 3, 4], [0, 2, 3, 4, 6], [2, 5], [0, 1, 2, 6], [1, 2, 3, 6], [0, 3, 5]]} | {"states": [106, 120], "expectation_value": -1.6915907090325535, "params": null, "bitstrings": ["0010101", "0000111"], "total_optimization_steps": 33, "probabilities": [0.05010011368371602, 0.8784330305487562], "optimization_time": 36.68609309196472} | 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.13333333333333333 * (Z(0) @ Z(1)) + 0.13333333333333333 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.21666666666666667 * (Z(2) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(6... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.7333333333333332, -1.7333333333333332], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.6499999999999997, "smallest_bitstrings": ["0100110", "0000111"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(1.3707544257720932e-07) q[1];
cx q[5], q[1];
h q[6];
cx q[5], q[6];
rz(1.3707544257720932e-07) q[6];
cx q[5], q[6];
cx q[1], q[6];
cx q[5], q[0];
rz(1.3707544257720932e-07) q[0];
cx q[5], q[0];
cx q[5], q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.4576) 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", "... | [
"IZIIIZI",
"ZZIIIII",
"ZIIIIZI",
"IZIIIIZ",
"IIIIIZZ",
"ZIIIIIZ",
"IZIIZII",
"IIIIZZI",
"ZIIIZII",
"IIIIZIZ",
"IZIZIII",
"IIIZIZI",
"ZIIZIII",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"ZIZIIII",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIIIZ",
"III... | [
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.13333333333333333,
0.13333333333333333,
0.5,
0.21666666666666667,
0.21666666666666667,
0.18333333333333335,
0.16666666666666666,
0.13333333333333333,
0.13333333333333333,
0.26666666666666666,
0.183333333... | 0.867895 | [
1.3707544257720932e-7,
-1.5707963793445128,
-4.364266535857259e-8,
-3.141592596204994,
3.3866366968305326e-8,
5.556959744775206e-8,
-2.953736296135427e-10,
6.313865411771903e-8,
1.3841139817724032e-8,
1.0501089542114353e-7,
-1.5707962525481187,
1.5707964923618771,
1.5707963222928114,
1.270... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -1.7333333333333332,
"target_ratio": 0.97,
"target_value": -1.6813333333333331
} | 398 |
df4ecb6ebc48c9049ce6597f2a05ee78 | 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": 1, "source": 0, "target": 1}, {"weight": 13, "source": 1, "target": 7}, {"weight": 20, "source": 1, "target": 6}, {"weight": 18, "source": 1, "tar... | {"states": [246, 244], "expectation_value": -24.945979990862565, "params": [[-0.0244, 0.0037], [0.0707, 0.0637]], "bitstrings": ["100001001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.005154361091970401, 0.005936410062584037], "optimization_time": 4.305558204650879} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(4)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-99.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.5, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 200.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.06360886017765513) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.06360886017765513) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[3];
rz(0.06360886017765513) q[3];
cx q[2], q[3];
cx q[2], q[1];
rz(0.063608860177655... | 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": []} | [
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIIZIZI",
"IIIZIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"ZIIIZIIII",
"ZIIIIZIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIZIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
22.5,
9.5,
24.5,
23.5,
22,
4,
12.5,
0.5,
5
] | 0.973782 | [
0.06360886017765513,
-1.5563439684684441,
1.389431623627156,
-1.70286799248886,
-1.6149385518993675,
-1.587244180675205,
1.2314295841410297,
-1.363684678698497,
1.3524507360679219,
1.6479140891865915,
1.6801288961870093
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -99.5,
"target_ratio": 0.97,
"target_value": -96.515
} | 48 |
6946fbda84d92871847bf53596399897 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [17, 1], "expectation_value": -0.05004827603744148, "params": [[0.0158], [-0.021500000000000002]], "bitstrings": ["101110", "111110"], "total_optimization_steps": 10, "probabilities": [0.016007639486765084, 0.016018357920126073], "optimization_time": 1.3509647846221924} | -1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + 3.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.25 * Z(3) + -0.25 * Z(0) + -1.0 * Z(4) + 0.25 * Z(1) + -0.5 * Z(2) + 2.75 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-12.0, -12.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["111110", "101110"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(1.551286213379778) q[0];
ry(0.14995386152144122) q[0];
rz(-1.157952155487887) q[0];
rz(1.7949694323876582) q[1];
ry(0.8600732688310629) q[1];
rz(-1.5619298147562424) q[1];
rz(-1.494414036029636) q[2];
ry(0.25948250070177714) q[2];
rz(2.109430114529392) q[2];
rz(-1.99... | 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[3], q[0];
rz(x0) q[0];
cx q... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IZIIIZ",
"IIZIZI",
"IIZZII",
"IZIZII",
"ZIIIIZ",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
-1.25,
-1.5,
-0.25,
-0.25,
-0.5,
3,
-0.25,
-1.25,
-0.25,
-1,
0.25,
-0.5,
2.75
] | 0.983075 | [
0.05760476468977301,
0.19533053854689783,
0.2935220690165271,
0.21247908078017866,
-0.33585903240393633,
0.2959684062839665,
-0.34014046378460583,
0.13274283234330986,
-0.10404306296453697,
0.20649247381463964,
0.9880477207375283,
-0.024097524940315328,
0.1102325674469585,
0.19708286430355... | {
"n_parameters": 43,
"n_qubits": 6,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 8 |
a0d9e7890df5adf810df05a9e670aeef | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 13, "source": 0, "target": 5}, {"weight": 19, "source": 1, "target": 3}, {... | {"states": [250, 122], "expectation_value": -58.848126069756006, "params": [0.743, -0.4262, 1.582, -0.0007, 1.5803, 0.003, 1.5863, -0.0013000000000000002, 1.5802, -0.19820000000000002, 0.5451, -0.5256000000000001, 1.591, -0.23140000000000002, 0.6898000000000001, -0.4707, 0.7385, 0.0044, 1.5853000000000002, 0.0036000000... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 10.0 * Z(1) ... | 18 | 8 | 2 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 149.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.017090889001018697) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.017090889001018697) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.017090889001018697) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.017090889001018697) q[3];
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] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
10,
10.5,
14.5,
17.5,
18,
6,
9.5,
7.5
] | 0.977203 | [
0.017090889001018697,
-1.31275271389348,
-0.6179899020836164,
-0.9473448524233365,
-0.9718566134495752,
-1.9534931139208975,
0.11091533144665736,
-1.5054838273398576,
-0.45438682617188736,
-0.36004776093718105,
0.005611387507162821,
-0.3059111558774116,
1.007799926815668,
-0.77241128938593... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -69.5,
"target_ratio": 0.97,
"target_value": -67.41499999999999
} | 90 |
3c6a0f75571e718d8fbaf4d718e39505 | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [68, 71], "expectation_value": -5.999934070824497, "params": null, "bitstrings": ["0111011", "0111000"], "total_optimization_steps": 33, "probabilities": [1.3834082752150245e-05, 0.9999481814112822], "optimization_time": 42.85490393638611} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(2) + -2.0 * Z(3) + -1.0 * Z(4) + -1.0 * Z... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.024969263718757094) q[0];
rz(0.838466479483619) q[0];
ry(0.4543828048928915) q[1];
rz(0.9774482153118855) q[1];
cx q[1], q[0];
ry(-0.14349311077027735) q[1];
rz(0.14845698270035257) q[1];
ry(1.6406173499573802) q[2];
rz(-0.056617967186184705) q[2];
ry(1.6086760675... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIZI",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIZII",
"IZIZIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-2,
-1,
-1,
0
] | 0.973 | [
0.024969263718757094,
0.838466479483619,
0.4543828048928915,
0.9774482153118855,
1.6406173499573802,
-0.056617967186184705,
1.6086760675696128,
0.1312333854197392,
1.6971655849709717,
0.039777741379520844,
-0.01686345976190709,
0.22016387161090592,
1.5972859335962972,
-0.10288603590630956,... | {
"n_parameters": 38,
"n_qubits": 11,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 19 |
5496705745399341210 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 3], [8, 0, 4], [8, 5, 7], [8, 9, 1], [1, 4, 5], [8, 0, 5], [3, 5, 6], [0, 1, 7], [9, 4, 7], [1, 3], [9, 2], [9, 1, 7], [8, 2, 5], [1, 9, 6], [3, 6, 7], [2, 3, 4], [9, 5, 6], [0, 9, 8], [0, 3], [4, 6, 7], [8, 9, 6], [0, 2, 5], [1, 2, 4], [1, 2, 6]]} | {"states": [958, 942], "expectation_value": -5.824611299631515, "params": [1.5895000000000001, -0.1302, 1.5276, 0.006900000000000001, 1.5850000000000002, -0.1192, 1.5556, 0.0037, 1.5562, -0.1028, 1.0718, 0.0027, 0.19160000000000002, 0.6559, 0.19870000000000002, 0.0068000000000000005, 1.4622000000000002, -0.370600000000... | 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.166... | 5 | 10 | 1 | {"smallest_eigenvalues": [-6.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.333333333333331, "smallest_bitstrings": ["0001010001"], "largest_eigenvalue": 21.999999999999986} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.6812457375494967) q[0];
rz(-0.10270219305352857) q[0];
rx(1.4198187881037336) q[1];
rz(-0.3270743748757208) q[1];
rx(1.831541709884573) q[2];
rz(-0.04824377156511872) q[2];
rx(0.08229978012814344) q[3];
rz(0.9629758943070019) q[3];
rx(1.4298991852524894) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIIIZIII",
"IIIIIIZIIZ",
"IZIIIIIIIZ",
"IIIIIZZIII",
"IZIIIZIIII",
"IIIIIZIIIZ",
"IIIIZIZIII",
"IZIIZIIIII",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIZIIIZIII",
"IZZIIIIIII",
"IIZIIIIIIZ",
"IIZIIZIIII",
"IIZIZIIIII",
"ZZIIIIIIII",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"ZIIIZIIIII",
"ZIZIIIIIII"... | [
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666... | 0.973813 | [
1.681245737549497,
-0.12351017360246198,
1.4198187881037334,
-0.3693376388944343,
1.8315417098845732,
-0.018924363232360103,
0.08229978012814344,
0.6460991067958683,
1.4298991852524892,
-0.3152914197406501,
0.6450420769574472,
-0.5771716080626728,
1.7712511917587048,
-0.37485956342241006,
... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -6.333333333333333,
"target_ratio": 0.97,
"target_value": -6.143333333333333
} | 47 |
31633d4810748a20f84bd55ea330508c | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"sour... | {"states": [252, 255], "expectation_value": -1.0990924035600906, "params": [[-0.0482], [0.057600000000000005]], "bitstrings": ["00000011", "00000000"], "total_optimization_steps": 10, "probabilities": [0.005564055498413831, 0.005564055498413833], "optimization_time": 1.0142598152160645} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(3)) + -2.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(2)) + -1.5... | 1 | 8 | 1 | {"smallest_eigenvalues": [-19.5, -19.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -18.5, "smallest_bitstrings": ["00000000", "00000011"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(0.017921973451409008) q[1];
h q[2];
h q[3];
ry(0.017921973451409008) q[3];
cx q[2], q[3];
ry(-0.017921973451409008) q[3];
cx q[2], q[3];
ry(0.067149863345596) q[3];
ry(1.5553243613399212) q[2];
h q[4];
ry(0.017921973451409008) q[4];
cx q[2], q[4];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1],... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIZIII",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZZII",
"IIZIIZII",
"IIIZIIIZ",
"IIIZZIII",
"IIZZIIII",
"IIIZIZII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IZIIIII... | [
-2,
-2,
-2.5,
0.5,
-3,
1,
0.5,
1,
-3,
-2.5,
0.5,
0.5,
-2,
-2,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.97116 | [
0.035843946902818016,
1.5553243613399212,
1.6176360647664003,
0.134299726691192,
0.37454330757621457,
1.113256346889515,
-0.030863662157328033,
0.22706330550934212,
-0.07506070558133716,
-0.2887889202918753,
0.8863026176038993,
-0.12055236724641485,
0.01601743558073871,
0.6120355592869146,... | {
"n_parameters": 58,
"n_qubits": 8,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 124 |
1a9ed9a666e19120fea8169482f67ae7 | 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": 13, "source": 0, "target": 7}, {"weight": 15, "source": 1, "target": 6}, {"weight": 19, "source": 1, "tar... | {"states": [246, 244], "expectation_value": -9.946559044918308, "params": [[0.0429], [-0.0663]], "bitstrings": ["100001001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.00390423070415893, 0.004388852060687512], "optimization_time": 2.1264843940734863} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-88.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.0, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 173.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.033035796970138795) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.033035796970138795) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(0.033035796970138795) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.033035796970138795) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIZII",
"IIZIIIZII",
"IIZZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IIIIIIZII",
"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,
11,
12,
16.5,
22.5,
23,
2.5,
12.5,
0.5,
5
] | 0.970316 | [
0.033035796970138795,
1.1743107495162832,
-0.1865339965274806,
1.266112264251784,
1.5779903775454862,
1.4155310904505956,
-0.6418863950380682,
2.0839555776890832,
-1.4659964772380958,
-0.6930579571127811,
-0.7424560734937793,
0.02330903431462893,
0.16407577822374453,
-0.13813935710762676,
... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -88,
"target_ratio": 0.97,
"target_value": -85.36
} | 67 |
3295697073386190827 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 3], [0, 2], [1, 2, 4], [3, 5], [0, 4], [4, 5], [1, 3]]} | {"states": [25, 14], "expectation_value": -0.08090977906715774, "params": [[-0.0835], [0.0763]], "bitstrings": ["100110", "110001"], "total_optimization_steps": 10, "probabilities": [0.017421229302810294, 0.017438715349010245], "optimization_time": 0.48958921432495117} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.0 * Z(3) + 0.16666666666666674 * Z(2) + 0.0 * Z(0) + 0.16666666666666663... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.333333333333334, -2.333333333333334, -2.333333333333334], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["100110", "000110", "110001"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(1.1161002670981743) q[1];
h q[2];
h q[3];
ry(-0.1677343071230435) q[3];
h q[4];
ry(-0.4504402712894152) q[4];
cx q[0], q[4];
ry(0.4504402712894152) q[4];
cx q[0], q[4];
ry(0.1300317628004747) q[0];
ry(-0.23107924302839755) q[4];
h q[5];
cx q[5], q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx ... | null | {"circuits": [], "gradients": []} | [
"IIZZII",
"IIIZIZ",
"IIZIZI",
"IIIZZI",
"IZIZII",
"IZIIIZ",
"IZIIZI",
"ZIZIII",
"ZZIIII",
"IIZIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0,
0.16666666666666674,
0,
0.16666666666666663,
0.16666666666666674,
0
] | 0.97112 | [
-0.335468614246087,
1.1161002670981743,
-0.23625875967242563,
1.4329142481256278,
-0.9008805425788304,
1.2014536330505665,
-1.0398130813492075,
0.48971468544137975,
-0.4621584860567951,
0.2930941104131519,
-0.2654593619840119,
0.5697629644670361,
0.015433168206632392,
-0.2044650656087148,
... | {
"n_parameters": 32,
"n_qubits": 6,
"optimal_eigenvalue": -2.333333333333334,
"target_ratio": 0.97,
"target_value": -2.2633333333333336
} | 21 |
c3748fcc72302775c117f76c5c27415d | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3},... | {"states": [1596, 2044], "expectation_value": -17.078498320349656, "params": null, "bitstrings": ["00111000011", "00000000011"], "total_optimization_steps": 100, "probabilities": [0.08451814672998141, 0.485152941324669], "optimization_time": 281.0835826396942} | -1.5 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -1.5 * (Z(8) @ Z(6)) + -2.0... | 1 | 11 | 1 | {"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["00000000011"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.9204000552082084) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.6855551524422426) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.16026485847142066) q[2];
cx q[1], q[2];
rz(0.6855551524422426) q[3];
cx q[0], q[3];
... | null | {"node": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[... | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IIIIIIZIZII",
"IIIIZZIIIII",
"IIIZZIIIIII",
"IIIZIZIIIII",
"IIZIZIIIIII",
"IIZIIZIIIII",
"IIZZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIII... | [
-1.5,
-2.5,
-2.5,
0.5,
0.5,
-2.5,
0.5,
0.5,
-2.5,
0.5,
-2,
0.5,
-2,
-1.5,
-2,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.537659 | [
0.9204000552082084,
0.6855551524422426,
0.16026485847142066,
0.8249350301798807,
1.213701702713331,
0.982798648847242
] | {
"n_parameters": 6,
"n_qubits": 11,
"optimal_eigenvalue": -23.5,
"target_ratio": 0.97,
"target_value": -22.794999999999998
} | 168 |
0714803fc241e2360d666ed1e871e287 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": ... | {"states": [377, 383], "expectation_value": -0.3581767205891915, "params": [[-0.052500000000000005], [0.0574]], "bitstrings": ["1010000110", "1010000000"], "total_optimization_steps": 10, "probabilities": [0.0012149627712412442, 0.001243673724267646], "optimization_time": 1.508878231048584} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(1) + 0.5 * Z(9) | 5 | 10 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1010000000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.14846640452963045) q[0];
rz(3.0061029413784865) q[0];
rx(-0.5708411447250665) q[1];
rz(2.0579878056276186) q[1];
rx(-0.1919544438207895) q[2];
rz(3.0189865220847594) q[2];
rx(-0.6879021959892385) q[3];
rz(2.5669911309546283) q[3];
rx(-0.6795280981274134) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[4], q[3];
rz(x0) q[3];
cx q[4]... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IZZIIIIIII",
"ZIIIIIIIZI",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"IIIIIIIIZI",
"ZIIIIIIIII"
] | [
-1.5,
-1.5,
0.5,
-2,
0.5,
-1.5,
-1,
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.956767 | [
0.14846640452963045,
1.4353066145835893,
-0.5708411447250665,
0.4871914788327228,
-0.19195444382078952,
1.4481901952898621,
-0.6879021959892386,
0.9961948041597318,
-0.6795280981274134,
1.0045006078794925,
-1.2197500639970589,
1.1562495736107823,
-1.1716393087263306,
1.0272924742532643,
... | {
"n_parameters": 148,
"n_qubits": 10,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 500 |
47a87bdf07cc47063498596ffad620cd | 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": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6... | {"states": [15, 1], "expectation_value": -2.165939554287399, "params": [[0.059300000000000005, 0.0722], [-0.0529, -0.060700000000000004]], "bitstrings": ["1110000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.015081495357955756, 0.017647418176334917], "optimization_time": 2.3660595417022705} | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + 3.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(2)) + -1.25 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(3)) + -1.25 * Z(1) + -0.25 * Z(0) + -1.0 * Z(2) + 1.5 * Z(3) + 2.75 * Z(6) + -1.25 * Z(4) + -0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-15.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.75, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 18.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(1.6439167456375596) q[0];
ry(0.02681113321067513) q[0];
rz(-0.8254950939251424) q[0];
rz(-1.6129589340366464) q[1];
ry(0.09679043368465019) q[1];
rz(1.7911833287797307) q[1];
rz(2.746656283512543) q[2];
ry(0.11739870027006258) q[2];
rz(-2.10418036695263) q[2];
rz(3.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIIZZII",
"ZIIIIIZ",
"ZIIIZII",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
-1.25,
-1.25,
-0.75,
-0.5,
3.5,
-0.75,
-1.25,
-2.5,
-1.25,
-0.25,
-1,
1.5,
2.75,
-1.25,
-0.5
] | 0.98969 | [
0.05613628652638576,
0.28671330987640287,
-0.09774063720559814,
-0.025903018917755954,
-0.021533019811019058,
0.29301895617195256,
0.3191194697274359,
0.19847189148966912,
0.37210421282661466,
-0.10822046162696106,
0.32501415811911316,
1.153468314716328,
-0.08450389839505314,
-0.0480774562... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -15.75,
"target_ratio": 0.97,
"target_value": -15.2775
} | 7 |
dd3c8f57e73142440d0a69222859dad4 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 1, "target": 8}, {"sour... | {"states": [362, 354], "expectation_value": -4.750380018589248, "params": [0.9016000000000001, 0.0037, 0.9104000000000001, 0.0016, 0.0026000000000000003, 0.5729000000000001, 0.0025, 0.0001, 0.8548, -0.0001, 0.8641000000000001, 0.0064, 0.8435, 0.0012000000000000001, 0.8422000000000001, 0.0013000000000000002, 0.001, 0.52... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(4)) + -1.5 * Z(1) ... | 7 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["010011101", "011110001", "010110101", "011011001"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.3765979915970241) q[0];
rz(0.1154823257837756) q[0];
rx(-0.12558450061184634) q[1];
rz(1.0033571121014302) q[1];
cx q[1], q[0];
rz(-0.09607235585475798) q[0];
cx q[1], q[0];
rx(1.9385469806902318) q[0];
rz(-0.10132399537649425) q[0];
rx(0.018139483954895782) q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"IIIIIIZZI",
"ZIIIIIZII",
"IIZIIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"IIIIZZIII",
"ZIIZIIIII",
"IIIZZIIII",
"IIIZIZIII",
"ZZIIIIIII",
"IZIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIZII",
"IIZIIIIII",
"IIIIZIIII",
"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,
0.5,
0.5,
-1.5,
-0.5,
-2,
-1,
-1,
-1.5,
-0.5,
-1,
-0.5
] | 0.97316 | [
1.3765979915970243,
0.019409969929017612,
-0.12558450061184634,
1.0033571121014302,
1.2464924630985814,
0.07819128402704681,
1.8571590377603573,
0.32097454272575865,
0.4889989095539978,
0.10850191093515348,
0.16272538832021108,
0.06841076581906216,
-0.3267711002806153,
-0.739045899405826,
... | {
"n_parameters": 41,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 25 |
5fcc80649738bc6ebb5e6ed34bbe4c7e | 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": [442, 218], "expectation_value": -37.08854291882109, "params": [[-0.0358, -0.0012000000000000001, 0.0066], [0.078, 0.0752, 0.07150000000000001]], "bitstrings": ["001000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.010705739746625588, 0.012884130784121213], "optimization_time": 7.357... | 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(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-93.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -85.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 191.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(0.010140391540180461) q[1];
cx q[0], q[1];
h q[2];
cx q[0], q[2];
rz(0.010140391540180461) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.010140391540180461) q[4];
cx q[1], q[4];
cx q[4], q[2];
rz(0.010140391540180461) 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": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIIIZZII",
"IIIZIIIIZ",
"IIIZIIZII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
9.5,
19,
20.5,
19,
5,
16,
0.5,
22.5,
7
] | 0.970303 | [
0.010140391540180461,
-0.8817694782888895,
1.3155263900677148,
1.4508759433310259,
-0.8101524928797088,
1.3137525011632658,
-1.6824904086684709,
1.3585931394344348,
-1.481841102148397,
-1.6431853813891013,
0.03533870379598659,
-0.15660633617743086,
-1.9455151141205964,
-0.885918599559516,
... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -93,
"target_ratio": 0.97,
"target_value": -90.21
} | 76 |
edc3bac605c0e8fb4f027513dd92e8fb | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [20, 6], "expectation_value": -0.27849420067983865, "params": [[-0.028900000000000002, -0.0713], [-0.0051, 0.0702]], "bitstrings": ["01011", "11001"], "total_optimization_steps": 10, "probabilities": [0.03524477025292192, 0.035244770252921956], "optimization_time": 2.6828010082244873} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + -0.5 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["01011", "11001"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.16175234084033957) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.16175234084033957) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.16175234084033957) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.16175234084033957) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"ZZIII",
"IIZZI",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1.5,
-0.5
] | 0.972373 | [
-0.16175234084033957,
-1.87532801107341,
-0.05801357308838576,
0.10605362145925226,
-1.1416650171566816,
0.4399114001229122,
1.0360662674525876,
-1.009520344317765,
0.7718866700779633,
-0.5658460915133537,
0.2880179831430165,
-2.7932233839467817,
-0.24448320489468112,
-0.7290022026259505,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 239 |
1b8d6649e5b2d2cbc97652c70c0a6939 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 7}, {"source": 3, "target": 8}, {"sour... | {"states": [266, 298], "expectation_value": -3.7718180096127543, "params": [0.2903, 0.2887, 0.12840000000000001, 0.1086, 0.018600000000000002, 0.0195, 0.2883, 0.29400000000000004, -0.0006000000000000001, 0.0032, 0.3037, 0.2983, 0.0654, 0.07010000000000001, 0.3063, 0.3057, -0.0164, -0.0171, 0.2937, 0.2932, 0.1034, 0.105... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(4) + -0.5 * Z(0) + 0.0 * Z(1) + -0.5 * Z(3) + -0.5 * Z(2) + -0.5 * Z(7) + -1.0 * Z(8) + -0.... | 13 | 9 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -3.5, "smallest_bitstrings": ["101011001", "101010101", "101110100", "011011001", "101001011", "100110110", "100101011", "011010101", "011110100", "010110110"], "largest_e... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.4121387161074328) q[0];
rz(0.017320717304226477) q[0];
ry(0.26473518245260136) q[1];
ry(0.006889807574471163) q[2];
ry(0.3553393885380868) q[3];
ry(0.0624539420360714) q[4];
ry(0.5195592180941695) q[5];
ry(0.19367068088822287) q[6];
ry(0.40471718732503675) q[7];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IIIIIIIZZ",
"IIIIIZZII",
"IZIIZIIII",
"IZIIIIZII",
"ZIIIZIIII",
"ZIIIIZIII",
"IIIZZIIII",
"ZIZIIIIII",
"IIZZIIIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIIIZII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIZIIIII",
"IIZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
0,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5
] | 0.972607 | [
0.4121387161074328,
0.26473518245260136,
0.006889807574471163,
0.3553393885380868,
0.0624539420360714,
0.5195592180941695,
0.19367068088822287,
0.40471718732503675,
0.05159438926050549,
0.03464143460845295,
0.07104744074318789,
-0.2320291941831495,
-0.3206260346257119,
-0.17892322047927411... | {
"n_parameters": 138,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 8 |
867451604821958348 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 3, 4], [0, 2, 4], [1, 2, 3, 4], [0, 1, 2, 3]]} | {"states": [23, 22], "expectation_value": -0.6169008385787624, "params": [[[1.8753000000000002, 0.0013000000000000002], [1.5197, 0.0036000000000000003], [2.6513, 0.0044], [2.6707, 0.001], [1.5592000000000001, 0.0016]]], "bitstrings": ["01000", "01001"], "total_optimization_steps": 270, "probabilities": [0.1502012921891... | 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.0833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.083333333333333, "smallest_bitstrings": ["01001"], "largest_eigenvalue": 3.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.025684414354232077) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(-0.025684414354232077) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[2];
rz(0.14185598289423032) q[2];
cx q[3], q[2];
cx q[3], q[1];
rz(0.14185598289... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | null | {"circuits": [], "gradients": []} | [
"IZIIZ",
"ZZIII",
"ZIIIZ",
"IZZII",
"IIZIZ",
"ZIZII",
"IZIZI",
"IIIZZ",
"ZIIZI",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIZII",
"IIIZI"
] | [
0.25,
0.25,
0.3333333333333333,
0.16666666666666666,
0.25,
0.25,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.41666666666666663,
0.4583333333333333,
0.4583333333333333,
0.41666666666666663,
0.25
] | 0.829936 | [
-0.025684414354232077,
1.6178081319658513,
0.14185598289423032,
-0.05438466276319353,
1.4793289767664928,
-0.005154044399492368,
-1.0047375956029554
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -1.0833333333333335,
"target_ratio": 0.97,
"target_value": -1.0508333333333335
} | 171 |
9c58c5b77a3170e613a26f379fffeef6 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 2}, {"weight": 18, "source": 0, "target": 5}, {"weight": 2... | {"states": [119, 118], "expectation_value": -31.369671372102488, "params": [[0.0256, 0.0036000000000000003, -0.0026000000000000003, -0.0037], [-0.0693, -0.0651, -0.057300000000000004, -0.0485]], "bitstrings": ["10001000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.014622453383624228, 0.01841719356... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 158.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.30035957140227065) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.30035957140227065) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.30035957140227065) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.30035957140227065) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
13.5,
5,
16.5,
19.5,
4.5,
17,
14.5,
11.5
] | 0.970623 | [
-0.30035957140227065,
1.1368758079646883,
-1.8923990284899774,
1.0436850348571591,
1.415620980349364,
-0.5091827167950427,
1.4790986719477293,
0.8820371628830349,
0.46473221419256594,
-0.15090594742638722,
0.055618018346008394,
0.32882508347878925,
-0.3312498441524585,
-0.09748772199396417... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 54 |
426b157e5e7e6cf4e0245aab59ff2a44 | 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": [330, 331], "expectation_value": -61.67247985405679, "params": [[[0.5964, 0.2457], [0.6062000000000001, 0.4229], [0.149, 0.256], [0.5987, 0.5481], [0.1859, 0.548], [-0.0068000000000000005, 0.1499], [0.601, 0.5317000000000001], [0.1429, 0.5750000000000001], [0.1228, 0.3846], [0.5917, 0.0351]], [[0.451, 0.1148... | 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(0) @ Z(3)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(0)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(9) @ Z(4)) + 9.5 * Z(1) + 1.5 * Z(2) + 14.5 * Z(3) + 1.0 * Z(0) + 5.0 * Z(4) + 8.5 * Z(6) + 2.5 * Z(5) + 12.0 * Z... | 15 | 10 | 4 | {"smallest_eigenvalues": [-92.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -89.5, "smallest_bitstrings": ["1010110100"], "largest_eigenvalue": 113.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.5927293975843431) q[0];
ry(0.956816565757471) q[1];
ry(0.09679334895281322) q[2];
ry(0.9980010753118922) q[3];
ry(0.0742593915209905) q[4];
ry(0.18017934713647582) q[5];
ry(1.0349443255539912) q[6];
ry(-0.005751721088014292) q[7];
ry(0.24589246487575653) q[8];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIZIIIZII",
"IIIIZIIIZI",
"IIIZZIIIII",
"IZIIIIZIII",
"IZIIIIIIIZ",
"IZZIIIIIII",
"ZIIIIZIIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
9.5,
1.5,
14.5,
1,
5,
8.5,
2.5,
12,
-6,
0
] | 0.970167 | [
0.5927293975843431,
0.956816565757471,
0.09679334895281322,
0.9980010753118922,
0.0742593915209905,
0.18017934713647582,
1.0349443255539912,
-0.005751721088014292,
0.24589246487575653,
0.9532309845752156,
0.022316651487970095,
0.06645169008335361,
0.10992351795499997,
-0.021454403511124116... | {
"n_parameters": 79,
"n_qubits": 10,
"optimal_eigenvalue": -92.5,
"target_ratio": 0.97,
"target_value": -89.725
} | 77 |
-2269746105006951689 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 3, 4, 5, 6, 7], [0, 1, 3, 4], [0, 4, 5, 6, 7], [0, 2, 5, 6, 7]]} | {"states": [245, 246], "expectation_value": -0.3511662828457979, "params": [[0.381], [-0.3871]], "bitstrings": ["00001010", "00001001"], "total_optimization_steps": 40, "probabilities": [0.00625881443299342, 0.006258814432993422], "optimization_time": 2.1375935077667236} | 0.023809523809523808 * (Z(1) @ Z(2)) + 0.023809523809523808 * (Z(3) @ Z(2)) + 0.10714285714285714 * (Z(3) @ Z(1)) + 0.023809523809523808 * (Z(4) @ Z(2)) + 0.10714285714285714 * (Z(4) @ Z(1)) + 0.10714285714285714 * (Z(4) @ Z(3)) + 0.07380952380952381 * (Z(5) @ Z(2)) + 0.023809523809523808 * (Z(5) @ Z(1)) + 0.0238095238... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.8404761904761904, -0.8404761904761904, -0.8404761904761904, -0.8404761904761904, -0.8404761904761904, -0.8404761904761904, -0.8404761904761904, -0.8404761904761904, -0.8404761904761904], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -0.8404761904761902, "smallest_bitstrings":... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.3230588772991936) q[0];
h q[1];
ry(-0.30591355214733984) q[1];
ry(-2.062015220054224) q[2];
rz(-pi) q[2];
h q[3];
cx q[3], q[1];
ry(0.30591355214733984) q[1];
cx q[3], q[1];
ry(0.020395676580802574) q[3];
cx q[1], q[3];
ry(-0.020395676580802574) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIIZIZII",
"IIIZIIZI",
"IIIZZIII",
"IIZIIZII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIZIZ",
"IIIIIIZ... | [
0.023809523809523808,
0.023809523809523808,
0.10714285714285714,
0.023809523809523808,
0.10714285714285714,
0.10714285714285714,
0.07380952380952381,
0.023809523809523808,
0.023809523809523808,
0.07380952380952381,
0.07380952380952381,
0.023809523809523808,
0.023809523809523808,
0.07380952... | 0.972215 | [
1.3230588772991936,
0.9804763270814348,
0.44256206973934664,
0.4031124583387531,
0.2954810659476607,
-0.46701268584623756,
0.42191139924017745,
-0.1962702290345602,
0.3453880947429424,
-0.6118271042946797,
0.433121533910435,
0.04079135316160515,
0.11619471869778455,
0.30376669756159524,
... | {
"n_parameters": 57,
"n_qubits": 8,
"optimal_eigenvalue": -0.8404761904761904,
"target_ratio": 0.97,
"target_value": -0.8152619047619046
} | 10 |
-2460662058905429005 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 6, 7], [0, 8], [3, 5, 7], [0, 1, 2], [2, 4, 5, 6], [0, 2, 6], [8, 1, 5, 6], [0, 1, 6], [0, 4], [1, 2, 3, 7]]} | {"states": [215, 247], "expectation_value": -1.4192346470228363, "params": [[0.3749], [-0.36410000000000003]], "bitstrings": ["100101000", "100001000"], "total_optimization_steps": 40, "probabilities": [0.008649246947740555, 0.009466387103061477], "optimization_time": 3.798430919647217} | 0.08333333333333333 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.41666666666666663 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(3... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.083333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.9166666666666665, "smallest_bitstrings": ["100001000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.2225353764585874) q[0];
ry(-2.8465496891675657) q[1];
rz(-pi) q[1];
h q[2];
ry(0.49572095090537377) q[2];
ry(-2.8973960908061285) q[3];
rz(-pi) q[3];
h q[4];
ry(1.035639383235612) q[4];
h q[5];
ry(-0.39886240086857155) q[5];
h q[6];
ry(1.5263155822988637) ... | 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];... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIZIIZIII",
"IIZIIIIIZ",
"IZIIIZIII",
"IZIIIIIIZ",
"IZZIIIIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIZIZIII",
"IIZZIIIII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIZIIIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIIZIIIZI",
"IIIIIZZII",
"IIIIIIZIZ",
"IIZIIIZII",
"... | [
0.08333333333333333,
0.08333333333333333,
0.41666666666666663,
0.3333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.3333333333333333,
0.25,
0.08... | 0.975598 | [
1.5263155822988637,
1.16223344483739,
0.9356509038821239,
-0.4450707529171748,
1.035639383235612,
-0.5984480809720509,
1.4496987658570857,
-0.5908794017492915,
0.9914419018107475,
-0.7977248017371431,
0.6643339796522637,
0.6802049169810906,
0.1811119406304046,
-0.6674145868865319,
0.3287... | {
"n_parameters": 48,
"n_qubits": 9,
"optimal_eigenvalue": -3.083333333333333,
"target_ratio": 0.97,
"target_value": -2.990833333333333
} | 11 |
5790406016412728325 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [2, 5], [3, 4], [1, 6], [0, 5], [0, 1], [2, 6, 7], [1, 2]]} | {"states": [85, 170], "expectation_value": -0.06022958789829852, "params": [[0.06330000000000001], [-0.0644]], "bitstrings": ["10101010", "01010101"], "total_optimization_steps": 10, "probabilities": [0.004371982278915499, 0.00439467883602853], "optimization_time": 0.5951504707336426} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(5) + 0.16666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5000000000000004, "smallest_bitstrings": ["01010101"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.635763704531231) q[0];
rz(1.48137303344172) q[0];
rx(-0.17368266947137756) q[1];
rz(1.2637169320858472) q[1];
rx(1.6021445203024456) q[2];
rz(1.6105151178959378) q[2];
rx(-0.022612302891672303) q[3];
rz(1.0501545357205941) q[3];
rx(1.3104265219786095) q[4];
rz(1.66... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[5], q[2];
rz(x0) q[2];
cx... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIIZII",
"IIIZZIII",
"IIIIIIZZ",
"IIIIIZZI",
"IZIIIZII",
"IZIIIIZI",
"ZIIIIZII",
"ZZIIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIZII",
"IIIZIIII",
"IIIIIIZI",
"IZIIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0,
0,
0,
0.16666666666666696,
0,
0,
0.16666666666666663,
0.16666666666666666
] | 0.970995 | [
1.635763704531231,
-0.08942329335317621,
-0.17368266947137756,
-0.30707939470904966,
1.6021445203024456,
0.03971879110104138,
-0.022612302891672306,
-0.520641791074303,
1.3104265219786098,
0.09328077409473279,
0.38069206610933704,
-0.0728610927175935,
0.6564711144547959,
0.1729576100770851... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -3.8333333333333335,
"target_ratio": 0.97,
"target_value": -3.7183333333333333
} | 72 |
6217701456967150430 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 2, 3, 4], [1, 3]]} | {"states": [25, 29], "expectation_value": -0.3017718940102299, "params": [[-0.4796], [0.4121]], "bitstrings": ["00110", "00010"], "total_optimization_steps": 50, "probabilities": [0.05338853303623299, 0.05438378442080412], "optimization_time": 1.404067039489746} | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.125 * Z(2) + 0.125 * Z(0) + 0.125 * Z(3) + 0.125 * Z(4) + 0.0 * Z(1) | 1 | 5 | 1 | {"smallest_eigenvalues": [-0.75, -0.75, -0.75, -0.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.6666666666666667, "smallest_bitstrings": ["11000", "00010", "01001", "01100"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
ry(-0.6034990866105665) q[1];
h q[2];
h q[3];
cx q[3], q[1];
ry(0.6034990866105665) q[1];
cx q[3], q[1];
ry(-0.7187621010965967) q[1];
ry(1.4235669581270096) q[3];
h q[4];
cx q[4], q[3];
ry(0.061934748777030695) q[3];
cx q[4], q[3];
cx q[4], q[1];
ry(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[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(x0) 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",
"ZIZII",
"ZIIIZ",
"ZZIII",
"IZIZI",
"IIZII",
"IIIIZ",
"IZIII",
"ZIIII",
"IIIZI"
] | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.125,
0.125,
0.125,
0.125,
0
] | 0.971856 | [
-1.206998173221133,
1.4855017069040404,
-0.6984563151377468,
-0.12386949755406139,
0.09820602157309365,
-0.040611571917700234,
0.003969764078150653,
0.6685487605473359,
0.040366552838956085,
0.3564164110383152,
-1.0099748205849797,
-0.6447694032573394,
-0.0548367936447193,
0.94968066960356... | {
"n_parameters": 24,
"n_qubits": 5,
"optimal_eigenvalue": -0.75,
"target_ratio": 0.97,
"target_value": -0.7275
} | 19 |
-3703200833243479515 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4, 6], [0, 6], [0, 2, 3, 5], [0, 2, 7], [1, 2, 3], [1, 4, 6, 7], [0, 1, 3, 4], [3, 7], [4, 5, 7], [1, 5]]} | {"states": [188, 233], "expectation_value": -1.2198863659837111, "params": [[-0.3501], [0.3583]], "bitstrings": ["01000011", "00010110"], "total_optimization_steps": 40, "probabilities": [0.01564590823903981, 0.015762880433065136], "optimization_time": 3.677635431289673} | 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(6)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333333, "smallest_bitstrings": ["00010110"], "largest_eigenvalue": 8.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.0036545586931576333) q[3];
cx q[4], q[3];
h q[5];
h q[6];
cx q[4], q[6];
rz(0.0036545586931576333) q[6];
cx q[4], q[6];
cx q[3], q[6];
cx q[4], q[0];
rz(-0.03412158140982758) q[0];
cx q[4], q[0];
cx q[4], q[5];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} | [
"IIIZZIII",
"IZIZIIII",
"IZIIZIII",
"IIIZIIIZ",
"IIIIZIIZ",
"IZIIIIIZ",
"IIIIZZII",
"IIIIIZIZ",
"IIZZIIII",
"IIZIZIII",
"IIZIIIIZ",
"IIZIIZII",
"ZIIZIIII",
"ZIIIZIII",
"ZZIIIIII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIZIIIII",
"IIIZIIZI",
"IIIIZIZI",
"IZIIIIZI",
"IIIIIIZZ",
"IIIIIZZ... | [
0.25,
0.25,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.5,
0.25,
0.25,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.25,
0.5,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.1666666... | 0.975937 | [
0.0036545586931576333,
-0.02570826601910447,
-0.03412158140982758,
-0.40272755109185054,
-1.541880790063326,
1.5047141856137272,
1.5476787549967248,
-1.6277474679723447,
-1.762974054940415,
1.572280006756483
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -2.8333333333333335,
"target_ratio": 0.97,
"target_value": -2.7483333333333335
} | 68 |
aba6fa396d14e467ae0d99dd38e3c99d | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 3, "source": 1, "target": 6... | {"states": [64, 63], "expectation_value": -0.016614180554352265, "params": [[-0.0106], [0.0176]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.00789964943563315, 0.007905588111021935], "optimization_time": 1.9230983257293701} | -0.75 * (Z(0) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + 0.0 * Z(3) + -0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6029463113024511) q[0];
h q[1];
h q[2];
ry(0.7929991718921372) q[2];
h q[3];
ry(0.8794283440467482) q[3];
h q[4];
ry(0.7775597893498037) q[4];
cx q[1], q[4];
ry(-0.7775597893498037) q[4];
cx q[1], q[4];
cx q[4], q[2];
ry(-0.7929991718921372) q[2];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
c... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIIZIZI",
"IIZIIZI",
"ZIIZIII",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZZII",
"IIIIZZI",
"IIZIZII",
"ZIIIZII",
"IZIIIZI",
"ZZIIIII",
"IZIIZII",
"IIIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IZIIIII"
] | [
-0.75,
-0.25,
-1.5,
-0.25,
1,
-0.75,
-0.75,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-1.5,
0,
-0.25,
-0.75,
1,
-0.75,
-0.75,
1.5
] | 0.97193 | [
1.5743455116567144,
1.5551195786996075,
1.5859983437842744,
1.5572663646124898,
0.8452599701378314,
1.7588566880934964,
0.9720374565052816,
-1.2058926226049023,
-0.0008241090567600584,
0.3357831707759824,
-0.22263848914659737,
0.09928482409924796,
-0.45654623459993954,
-0.20093592429500787... | {
"n_parameters": 40,
"n_qubits": 7,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 453 |
80ea40a1cd4d9bb780bbb97236d9a0bc | 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": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "so... | {"states": [206, 214], "expectation_value": -6.793012574044962, "params": [[0.0814, 0.1082, 0.0732, 0.0429], [-0.0745, -0.1338, -0.13620000000000002, -0.1246]], "bitstrings": ["100110001", "100101001"], "total_optimization_steps": 20, "probabilities": [0.023491611264762725, 0.02349161126476274], "optimization_time": 10... | -0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ 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(7) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-9.375, -9.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.125, "smallest_bitstrings": ["100110001", "100101001"], "largest_eigenvalue": 26.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.08799439082692172) q[0];
rz(-0.04053423072081053) q[0];
rx(1.2006522271996443) q[1];
rz(-0.029852817323747956) q[1];
rx(1.2006522271996443) q[2];
rz(-0.08799439082692172) q[2];
rx(0.18833581716882544) q[3];
rz(-0.4849824546849156) q[3];
rx(-0.18261437563468638) 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": []} | [
"IIIIZIIIZ",
"IIIZZIIII",
"IIIZIIIIZ",
"IIZIZIIII",
"IIZIIIIIZ",
"IIZZIIIII",
"IZIIZIIII",
"IZIIIIIIZ",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIIZIIIII",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZIIIZII",
"IZIIIIZII",
"IIIIIIZZI",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIZIIIIII",
"... | [
-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,
0.375,
2,
-1.625,
2,
3.5,
3.5,
-0.5,
1.75,
1.75,
-0.125
] | 0.978674 | [
-0.08799439082692172,
0.32284741774146336,
1.2006522271996443,
-0.029852817323747956,
0.18833581716882544,
-0.4849824546849156,
-0.18261437563468638,
0.4457386079991235,
1.0214807372461534,
0.12397842284346364,
1.0316252057604736,
-0.01557903318317504,
0.97996823976922,
0.23266544356229904... | {
"n_parameters": 74,
"n_qubits": 9,
"optimal_eigenvalue": -9.375,
"target_ratio": 0.97,
"target_value": -9.09375
} | 10 |
9834fff0f6459a91caaf20304fb5b55e | 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": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [460, 396], "expectation_value": -2.259092186165887, "params": [[[0.7761, 0.0], [0.8101, -0.0013000000000000002], [0.5246000000000001, 0.15380000000000002], [-0.0048000000000000004, 0.4636], [0.4828, 0.20700000000000002], [0.8416, 0.0009000000000000001], [0.7892, -0.0018000000000000002], [-0.0041, 0.4647], [... | 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(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(8) @ Z(1)) + 0.25 * (Z(5) @ Z(8)) + -0.25 *... | 1 | 9 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.25, "smallest_bitstrings": ["010110101", "010110011", "010101011", "101010101", "101010011", "001110101", "001110011... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(0.9837038019584785) q[0];
ry(3.0671401590620246) q[0];
rz(-1.777213166342955) q[0];
rz(-1.1221990155858452) q[1];
ry(3.0839415890699753) q[1];
rz(1.8559499629024803) q[1];
rz(-1.618848328268533) q[2];
ry(0.03520687189352213) q[2];
rz(1.7809284211283583) q[2];
rz(2.59... | 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",
"IIIIIZIIZ",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIZZZIIII",
"IZIIZIIII",
"IIIZIIIZI",
"ZIIIIIIZI",
"ZIIZIIIII",
"ZIIZIIIZI",
"IIIIIZZII",
"IZZIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
-0.25,
0,
-0.25,
-0.5,
-0.25,
0,
-0.25,
-0.5,
-0.75
] | 0.971976 | [
0.8243552707296906,
-0.1791821045851887,
1.0235285687319675,
-0.014324086110550915,
0.17495095220831403,
-0.0034753840498770033,
0.03853761291443279,
0.004618727407758358,
0.07845783440484143,
0.551245581543125,
0.7033530436812119,
-0.10787616744884197,
0.9450313244941512,
-0.0521776244001... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 18 |
-5348139447634149913 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 2, 6], [9, 7], [0, 1, 2, 4], [9, 4, 5], [1, 3, 4, 9], [1, 4, 7], [1, 6, 7], [8, 1, 2, 5], [2, 4, 6], [0, 1, 4, 5], [2, 5, 6, 7], [0, 5, 7], [3, 5, 6, 8, 9], [2, 3, 5, 8, 9]]} | {"states": [921, 985], "expectation_value": -3.776381656222832, "params": [1.5729, 1.5729, 2.3245, 0.8172, 1.5543, 1.5841, -1.1263, -0.4902, 0.0678, -0.0658, 2.1075, 1.0296, 2.2222, 0.9241, 0.051300000000000005, -0.0565, 0.1837, -0.1524, 1.5676, 1.5831000000000002, 0.8589, 0.1024, 0.0022, 0.4333, 0.256, 0.0964, 0.0322,... | 0.3 * (Z(8) @ Z(2)) + 0.41666666666666663 * (Z(6) @ Z(2)) + 0.21666666666666667 * (Z(6) @ Z(8)) + 0.05 * (Z(9) @ Z(2)) + 0.1 * (Z(9) @ Z(8)) + 0.05 * (Z(9) @ Z(6)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.25 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(9)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(7... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.8166666666666678], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.7333333333333334, "smallest_bitstrings": ["0000100110"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.7387317244315672) q[0];
rz(pi/2) q[0];
ry(2.189864761894601) q[1];
ry(1.5157130337006488) q[2];
ry(-1.1834815901471343) q[3];
ry(-0.06754495464646448) q[4];
ry(2.0082680519338343) q[5];
ry(2.1908088310297718) q[6];
ry(0.2032933804491222) q[7];
ry(0.081513341755187... | 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",
"IIIZIIIZII",
"IZIZIIIIII",
"ZIIIIIIZII",
"ZZIIIIIIII",
"ZIIZIIIIII",
"IIZIIIIZII",
"IIZZIIIIII",
"ZIZIIIIIII",
"IIIIIIIZIZ",
"IIZIIIIIIZ",
"IIIIIIIZZI",
"IZIIIIIIZI",
"IIIZIIIIZI",
"ZIIIIIIIZI",
"IIZIIIIIZI",
"IIIIIIIIZZ",
"IIIIIZIZII",
"IIIZIZIIII",
"ZIIIIZIIII"... | [
0.3,
0.41666666666666663,
0.21666666666666667,
0.05,
0.1,
0.05,
0.08333333333333333,
0.25,
0.5,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.3333333333333333,
0.16666666666666666,
0.25,
0.166666666... | 0.974792 | [
1.7387317244315672,
2.189864761894601,
1.5157130337006488,
-1.1834815901471343,
-0.06754495464646448,
2.0082680519338343,
2.1908088310297718,
0.2032933804491222,
0.08151334175518779,
1.422723377519478,
0.8346248003421015,
-1.2611753770963685,
-0.02104876743854104,
-0.12903138746382917,
-... | {
"n_parameters": 38,
"n_qubits": 10,
"optimal_eigenvalue": -3.8166666666666678,
"target_ratio": 0.97,
"target_value": -3.7021666666666677
} | 1 |
c5d64ed1606b01b0449fbdbfaa48958e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [382, 318], "expectation_value": -1.4065448544147967, "params": [-0.0119, -0.006200000000000001, 0.5954, 0.5995, 0.18710000000000002, 0.1824, 0.39, 0.3829, 0.5154, 0.4958, 0.604, 0.606, 0.6016, 0.6001000000000001, 0.44680000000000003, 0.4465, 0.3642, 0.3669, 0.18780000000000002, 0.1945, -0.0083, -0.005800000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(2) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(2) @ Z(6) @ Z(7)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(8) @ Z(3)) + 0.12... | 14 | 10 | 2 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 20, "first_excited_energy": -2.125, "smallest_bitstrings": ["1010010001", "0100111000", "0100110100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.1549721848291327) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
ry(1.492760804569908) q[2];
h q[3];
ry(-0.44016084752831497) q[3];
cx q[1], q[3];
ry(0.44016084752831497) q[3];
cx q[1], q[3];
ry(0.8936963047981609) q[1];
ry(-0.5255148306806048) q[3];
h q[4];
ry(-1.5627506543... | 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",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIZZZII",
"IIIIZIIIIZ",
"IIIZIIIZII",
"IIZIIIIZII",
"IIZZIIIIII",
"IIZZIIIZII",
"IIIIZIZIII",
"IIIZIIZIII",
"IZIIIIZIII",
"IIIZZIIIII",
"IZIIZIIIII",
"IZIZIIIIII",
"IIIZZIZIII",
"IZIIZIZIII",
"IZIZIIZIII",
"IZIZZIIIII"... | [
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,
0.25,
-0.25,
-0.5,
-0.25,
0,
0.125,
0,
-0.125,
0.125,
0,
0.125,
... | 0.995333 | [
-1.5627506543770027,
-1.6426853524511658,
-1.259998280348624,
1.492760804569908,
-0.8803216950566299,
0.5985232422840356,
-0.31165172323427953,
-0.3767145391135873,
0.5903461250282505,
-0.29760058313403503,
0.20451498588347222,
-0.30673651465012075,
-0.02234127085458512,
0.0993486788775276... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
6ce86fd90cfcfc8619e1d79aa454f77b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [65, 1], "expectation_value": -11.249999925008895, "params": null, "bitstrings": ["110111110", "111111110"], "total_optimization_steps": 23, "probabilities": [8.328080276446107e-09, 0.9999999833339751], "optimization_time": 29.726074695587158} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @... | 1 | 9 | 2 | {"smallest_eigenvalues": [-11.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 7.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.042183601213293724) q[0];
rz(-0.2379157173013633) q[0];
rx(0.041866752753559604) q[1];
rz(-0.16714895785697248) q[1];
rx(-0.2918772183227563) q[2];
rz(0.015045320069528856) q[2];
rx(-0.023938965135507136) q[3];
rz(-0.1333700161811624) q[3];
rx(0.11242703318236696) ... | 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",
"IIZIIIIIZ",
"IIZIIIZII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZZIIIIII",
"IIIIZIIZI",
"IIIIZIZII",
"IIZIZIIII",
"IZIIZIIII",
"IIIIIZZII",
"IZIIIZIII",
"IIIIZZIII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIIZIIIZI",
"IZIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"... | [
-0.5,
-1,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
1.75,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
0.5,
0.25,
-0.25,
-1,
-0.25,
1.5,
-0.25
] | 0.970831 | [
0.04218360121329372,
-0.28452661302214677,
0.04186675275355961,
-0.15223136005094104,
-0.29187721832275637,
0.048940938675368625,
-0.023938965135507133,
-0.19014708149658313,
0.11242703318236696,
-0.1095468946398436,
-0.07412001935728986,
-0.062316060849386276,
-0.010396061229373844,
-0.01... | {
"n_parameters": 150,
"n_qubits": 9,
"optimal_eigenvalue": -11.25,
"target_ratio": 0.97,
"target_value": -10.9125
} | 6 |
8a5dc9be309c81780f6428266fc77bbc | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 1, "target": 2}]} | {"states": [374, 371], "expectation_value": -6.299442942899475, "params": null, "bitstrings": ["010001001", "010001100"], "total_optimization_steps": 88, "probabilities": [0.15143116822598657, 0.6686414346247994], "optimization_time": 215.2723846435547} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(8... | 1 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["100010001", "010001100", "100001010"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-2.322389483957614e-09) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-2.322389483957614e-09) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-2.322389483957614e-09) q[1];
cx q[0], q[1];
h q[3];
cx q[0], q[3];
rz(-2.322389483957614e-09) q[3];
c... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 2, "target": 1}]}} | {"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[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIZIIIIII",
"IZIIIIZII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
1.5,
1,
1,
1.5,
1,
1.25,
1,
1.25,
1.5
] | 0.714286 | [
-2.322389483957614e-9,
4.1451823289962644e-8,
1.57079638027508,
-1.5711130946503415,
1.570796330588283,
-1.5707963417037913
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 230 |
cd2d09f3a4abddae99bd986853a70d42 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"sour... | {"states": [162, 418], "expectation_value": -8.097427125386139, "params": [[[0.6141, -0.031, 0.0034000000000000002, 0.0053], [0.735, 0.2162, -0.0454, 0.0005], [-0.0023, 0.5732, 0.0036000000000000003, 0.5749000000000001], [0.3531, -0.0013000000000000002, 0.3524, 0.0059], [-0.0021000000000000003, -0.5751000000000001, 0.0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(7) ... | 12 | 9 | 3 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["001011101"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.7623171662801874) q[0];
rz(-0.03763628568103057) q[0];
ry(0.5347894698932488) q[1];
rz(-0.07476280144992406) q[1];
cz q[1], q[0];
ry(0.5918900826860659) q[0];
rz(-0.2531171313489902) q[0];
ry(-0.4660135241502567) q[1];
ry(-0.07294817109459494) q[2];
rz(1.0793099631... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZZIIIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"IIIZIIIZI",
"IIZIIIIZI",
"IIIIIZZII",
"IIIZIZIII",
"IIZIIZIII",
"ZIIIIZIII",
"IZIIIIZII",
"IZIIZIIII",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIZIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-2,
-1,
-2.5,
-1.5,
-1.5,
-0.5,
-1.5,
-1.5
] | 0.973798 | [
0.7623171662801874,
-0.03763628568103057,
0.5347894698932488,
-0.07476280144992406,
-0.07294817109459494,
1.0793099631856469,
0.3431864479455994,
-0.16434365946208923,
0.14556291766191964,
-0.6610927964788506,
0.004773763141823623,
-0.5471142433754526,
0.021835879373577966,
-0.491552649054... | {
"n_parameters": 71,
"n_qubits": 9,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 10 |
-8124763126179444229 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4, 6], [3, 7], [0, 1], [2, 4], [5, 6]]} | {"states": [156, 178], "expectation_value": -0.015126655734756023, "params": [[-0.038700000000000005], [0.0436]], "bitstrings": ["01100011", "01001101"], "total_optimization_steps": 10, "probabilities": [0.00402576689446007, 0.00402576689446007], "optimization_time": 0.5989267826080322} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.16666666666666663 * Z(4) + 0.16666666666666663 * Z(3) + 0.16666666666666663 * Z(6) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["10110100", "01001101", "10100011", "10001101", "01110100", "01100011"], "largest_... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(-0.2843060802118721) q[1];
cx q[0], q[1];
ry(0.2843060802118721) q[1];
cx q[0], q[1];
ry(0.7889364699453559) q[0];
ry(-0.6795505951673434) q[1];
h q[2];
ry(-0.2843060802118721) q[2];
h q[3];
ry(-0.3872436932862716) q[3];
h q[4];
cx q[4], q[2];
ry(0.28... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[6];
rz(x0) q[6];
cx q[4], q[6];
cx q[3], q[6];
rz(x0) q[6];
cx... | null | {"circuits": [], "gradients": []} | [
"IIIZZIII",
"IZIZIIII",
"IZIIZIII",
"ZIIIZIII",
"IIIIIIZZ",
"IIIZIZII",
"IZZIIIII",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.16666666666666663,
0.16666666666666663,
0.16666666666666663,
0,
0,
0,
0,
0
] | 0.971691 | [
-0.5686121604237442,
1.0391849656083236,
-0.7916721818247654,
0.733944695351002,
-0.7744873865725432,
1.0698576606386982,
0.5221161887543121,
-0.6417701162406225,
0.6111872555080637,
-0.577083815974209,
0.2866744453735869,
0.5684872227812583,
-0.5328528613755291,
0.5336405623820879,
-0.2... | {
"n_parameters": 50,
"n_qubits": 8,
"optimal_eigenvalue": -2.333333333333333,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 22 |
5a8eac0760a558d4174437be478ec0aa | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [10, 21], "expectation_value": -0.1826386616841746, "params": [[0.0723, 0.078], [-0.0777, -0.0804]], "bitstrings": ["10101", "01010"], "total_optimization_steps": 10, "probabilities": [0.038854793872211815, 0.04125549740004518], "optimization_time": 2.194798707962036} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + 0.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["01010"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.82536574049687) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.24273634073259914) q[1];
h q[2];
h q[3];
ry(-0.24273634073259914) q[3];
cx q[2], q[3];
ry(0.24273634073259914) q[3];
cx q[2], q[3];
ry(1.300380278656536) q[2];
ry(-0.845563361950822) q[3];
h q[4];
cx q[4], q[1];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], ... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZIIZ",
"ZIIZI",
"IZZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
0,
0
] | 0.972605 | [
-1.0824548785035621,
-0.4854726814651983,
1.0253922282774464,
-0.6950111735231073,
0.549976100758179,
0.49856702161642463,
-0.5677464941140427,
-0.3011043768554298,
0.6740485844110712,
1.8584456786071313,
-0.3550392547384828,
-0.049666130392177224,
0.1283809090165161,
0.14940958954842865,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
-4961275928088128771 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 8, 2, 4], [0, 2, 3, 4, 5, 6, 7], [1, 3, 4, 5, 6, 8], [8, 1, 2, 3], [1, 3, 4, 5, 6, 7], [0, 1, 5, 6, 7, 8], [8, 2, 5, 7], [0, 1, 3, 4]]} | {"states": [319, 315], "expectation_value": -1.6868154019775332, "params": null, "bitstrings": ["011000000", "011000100"], "total_optimization_steps": 51, "probabilities": [0.01753559058732262, 0.92843221570345], "optimization_time": 137.51696276664734} | 0.11666666666666667 * (Z(0) @ Z(8)) + 0.25 * (Z(2) @ Z(8)) + 0.10714285714285714 * (Z(2) @ Z(0)) + 0.11666666666666667 * (Z(4) @ Z(8)) + 0.19047619047619047 * (Z(4) @ Z(0)) + 0.10714285714285714 * (Z(4) @ Z(2)) + 0.11666666666666667 * (Z(3) @ Z(8)) + 0.10714285714285714 * (Z(3) @ Z(0)) + 0.10714285714285714 * (Z(3) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.7071428571428573], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6595238095238094, "smallest_bitstrings": ["011000100"], "largest_eigenvalue": 7.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[8], q[0];
rz(-0.022212149079597673) q[0];
cx q[8], q[0];
cx q[8], q[2];
rz(-0.03249649199431969) q[2];
cx q[8], q[2];
cx q[0], q[2];
rz(-0.008678141870349649) q[2];
cx q[0], q[2];
cx q[8], q[4]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4745) 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... | [
"ZIIIIIIIZ",
"ZIIIIIZII",
"IIIIIIZIZ",
"ZIIIZIIII",
"IIIIZIIIZ",
"IIIIZIZII",
"ZIIIIZIII",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZZIII",
"ZIIZIIIII",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIZZIIII",
"IIIZIZIII",
"ZIZIIIIII",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZIZIIII",
"IIZIIZIII",
"IIZZIIIII",
"... | [
0.11666666666666667,
0.25,
0.10714285714285714,
0.11666666666666667,
0.19047619047619047,
0.10714285714285714,
0.11666666666666667,
0.10714285714285714,
0.10714285714285714,
0.1738095238095238,
0.15,
0.05714285714285714,
0.10714285714285714,
0.09047619047619047,
0.09047619047619047,
0.... | 0.858118 | [
-0.022212149079597673,
-0.03249649199431969,
-0.008678141870349649,
-0.08944336877388333,
-0.787485938200713,
-0.016330354361911985,
-0.00035210677853622223,
-0.017097841551919294,
-0.00425951081599574,
-0.00013942944307165626,
-0.0003310610052779238,
0.00019251957114933807,
-0.0831157638732... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -1.7071428571428573,
"target_ratio": 0.97,
"target_value": -1.6559285714285716
} | 500 |
7088493197993040929 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 6], [1, 4], [3, 5], [1, 5], [2, 4], [2, 5], [2, 6]]} | {"states": [7, 120], "expectation_value": -2.9633339978736024, "params": null, "bitstrings": ["1111000", "0000111"], "total_optimization_steps": 60, "probabilities": [0.03677391817476327, 0.7531605981751801], "optimization_time": 68.5186915397644} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["0000111", "1111000"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(-0.7563956097446645) q[1];
cx q[4], q[1];
h q[5];
cx q[1], q[5];
rz(-0.7563956097446645) q[5];
cx q[1], q[5];
rz(-2.0906135045350993e-08) q[1];
rx(0.7853981242102575) q[1];
cx q[5], q[3];
rz(-0.7563956097446645) ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[2], 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... | [
"ZIIIIIZ",
"IIZIIZI",
"IZIIIZI",
"IZIZIII",
"ZIIIZII",
"IIZIZII",
"IZIIZII",
"ZIIIIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"IIIZIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.46756 | [
-0.7563956097446645,
-2.090613501477992e-8,
0.7853981242102573
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 109 |
bef0417311034f9a136e6c27306ac85d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [286, 31], "expectation_value": -78.90891859869447, "params": [[[1.5733000000000001, 0.4081], [-0.0023, 0.4126], [-0.0043, 0.0047], [-1.5730000000000002, 1.5685], [-1.5725, 1.5688], [1.5685, 1.5686], [-1.03, 1.5729], [1.7094, 1.4256], [1.5736, 1.5681]]], "bitstrings": ["011100001", "111100000"], "total_optim... | 7.0 * (Z(0) @ Z(4)) + 7.0 * (Z(3) @ Z(5)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(7) @ Z(0)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(6) @ Z(3)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(4)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(8) @ Z(7)) + 14.5 * Z(4) + 12.0 * Z(0) + 8.0 * Z(5) + 4.5 * Z(3) + 20.0 * Z(7) + 17.0 * Z(6) + 14.0 * Z(8) + -12.... | 15 | 9 | 1 | {"smallest_eigenvalues": [-81.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.5, "smallest_bitstrings": ["111100000"], "largest_eigenvalue": 184.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.3016865608186092) q[0];
ry(0.30128302616878266) q[1];
ry(-0.3161414192824187) q[2];
ry(0.6618075537331348) q[3];
ry(-0.39986348620070267) q[4];
ry(0.6231669795091584) q[5];
ry(0.21382084739174156) q[6];
ry(0.20800792350237665) q[7];
ry(-0.17354498203221277) q[8];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IIIZIZIII",
"IZIIZIIII",
"IZIIIIIIZ",
"IIZZIIIII",
"IIZIIZIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIIZIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIIZII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
14.5,
12,
8,
4.5,
20,
17,
14,
-12,
-12.5
] | 0.972509 | [
1.3016865608186092,
0.30128302616878266,
-0.3161414192824187,
0.6618075537331348,
-0.39986348620070267,
0.6231669795091584,
0.21382084739174156,
0.20800792350237665,
-0.17354498203221277,
0.14128957946805287,
0.21172404746983747,
0.06040104256848709,
-0.049783447806198415,
0.06867147686543... | {
"n_parameters": 72,
"n_qubits": 9,
"optimal_eigenvalue": -81.5,
"target_ratio": 0.97,
"target_value": -79.05499999999999
} | 57 |
94ae9b5255899c7020c27bb014e7a10e | 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": [741, 709], "expectation_value": -87.9717048320819, "params": [0.31570000000000004, -0.0074, 0.7986000000000001, -0.0012000000000000001, 0.3907, 0.2545, 0.7981, 0.0497, 0.8062, -0.031900000000000005, 0.4988, -0.15610000000000002, 0.3064, 0.28400000000000003, 0.1794, 0.035500000000000004, 0.7975, 0.0034000000... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(3) @ Z(1)) + 8.0 * (Z(2) @ Z(3)) + 8.0 * (Z(4) @ Z(2)) + 8.0 * (Z(5) @ Z(1)) + 8.0 * (Z(5) @ Z(3)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(8) @ Z(0)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(6) @ Z(10)) + 8.0 * (Z(9) @ Z(10)) + 0.5 * Z(0) + 15.0 * Z(1) + 18.0 * Z(3) + 5.0 * Z(2) + 8.5 * Z(4) + 10.0 * Z(... | 4 | 11 | 3 | {"smallest_eigenvalues": [-125.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -103.5, "smallest_bitstrings": ["10100111010"], "largest_eigenvalue": 146.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.10099136189690178) q[0];
rz(0.07335359317300627) q[0];
rx(3.0282179828264324) q[1];
rz(0.5858125297456115) q[1];
rx(0.3857791464213856) q[2];
rz(0.5011207110279181) q[2];
rx(2.874509285441383) q[3];
rz(-0.07429795508099651) q[3];
rx(3.0842783043964133) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIZIIIZI",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIZIIIIIIIZ",
"IIZZIIIIIII",
"ZIIIZIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
0.5,
15,
18,
5,
8.5,
10,
6,
-7.5,
5.5,
-3,
-5.5
] | 0.971641 | [
0.1009913618969018,
0.00029992962695205017,
3.0282179828264324,
0.5858125297456115,
0.3857791464213856,
0.5011207110279181,
2.874509285441383,
-0.07429795508099651,
3.0842783043964133,
0.20792621776185335,
0.2655971871129661,
-0.13632500007276938,
0.08288667921108347,
0.4724948674239383,
... | {
"n_parameters": 29,
"n_qubits": 11,
"optimal_eigenvalue": -125.5,
"target_ratio": 0.97,
"target_value": -121.735
} | 15 |
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