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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
5dad688a93671469362a3d3d00961b05 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 3}]} | {"states": [17, 12], "expectation_value": -0.35116073606872633, "params": [[-0.06810000000000001, -0.066, -0.06860000000000001], [0.0757, 0.0753, 0.07640000000000001]], "bitstrings": ["01110", "10011"], "total_optimization_steps": 10, "probabilities": [0.04524866654955206, 0.04524866654955209], "optimization_time": 3.1... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(4) + -0.75 * Z(3) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.25, "smallest_bitstrings": ["11010", "01110", "10011"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(1.054375204004865) q[0];
ry(1.2513372356561656) q[1];
ry(0.2824769594172304) q[2];
ry(1.4848254273950985) q[3];
ry(1.7704547616171795) q[4];
ry(-0.13250446412763625) q[5];
ry(-0.49590506331342876) q[6];
ry(1.052494121858556) q[7];
ry(0.7429880399328006) q[8];
ry(0.4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZIZ",
"ZIZII",
"IZZII",
"ZZIII",
"ZZZII",
"ZIIZI",
"IIIIZ",
"IIIZI",
"IIZII",
"ZIIII",
"IZIII"
] | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75
] | 0.975061 | [
1.054375204004865,
1.2513372356561656,
0.2824769594172304,
1.4848254273950985,
1.7704547616171795,
-0.13250446412763625,
-0.49590506331342876,
1.052494121858556,
0.7429880399328006,
0.41317392976743855,
2.5434800341621466,
1.571476038864509,
1.6619437044267633,
0.026188563071984666,
1.62... | {
"n_parameters": 45,
"n_qubits": 15,
"optimal_eigenvalue": -8.749999999999972,
"target_ratio": 0.97,
"target_value": -8.487499999999972
} | 53 |
833c89e8aca800e5707fb47ea63f9088 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [0, 4], "expectation_value": -2.9959815914125336, "params": null, "bitstrings": ["11111", "11011"], "total_optimization_steps": 10, "probabilities": [0.003927302792350724, 0.9960139005851092], "optimization_time": 5.785515785217285} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -0.75 * Z(0) + -0.75 * Z(1) + 0.0 * Z(2) + -0.75 * Z(3) + -0.75 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["11011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(-0.06213685427517941) q[0];
rz(0.3900229257122323) q[0];
rx(-0.05273946885872852) q[1];
rz(0.8212831248228313) q[1];
rx(1.5337574379224534) q[2];
rz(0.18090279389762448) q[2];
rx(-0.062136854275179405) q[3];
rz(-0.7491475642969406) q[3];
rx(-0.062136854275179405) q[4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5486) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZIZ",
"IIZZI",
"IIZZZ",
"IZZII",
"ZIZII",
"ZZIII",
"ZZZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.75,
-0.75,
0,
-0.75,
-0.75
] | 0.980175 | [
-0.062136854275179405,
0.5639668344247326,
-0.05273946885872852,
0.8212831248228313,
1.5337574379224534,
0.18090279389762448,
-0.7491475642969406,
0.5294660297481446,
-0.3478878174250011,
0.3529348580960014,
-0.022087508376134993,
-0.4435758830602262,
-0.5770407396054762,
-0.16077012495042... | {
"n_parameters": 24,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 6 |
01879f4c1200654f9c183f51d4d1496e | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6},... | {"states": [0, 1792], "expectation_value": -72.88078952474305, "params": [-0.0019, -0.5775, -0.9887, 0.0015, -1.4915, 0.0, -0.0025, 0.017400000000000002, -0.0025, 0.0066, -0.0025, 0.0099, -0.0025, 0.0309, -0.0024000000000000002, 0.0049, -0.0025, 0.006900000000000001, -0.0025, 0.0054, -0.0025, 0.0035, 3.1396, -2.1466000... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -3.5 * (Z(3) @ Z(5)) + -3.5 * (Z(6) @ Z(5)) + -4.0 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + -4.0 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(6)) + -4.0 * (Z(9) @ Z(5)) + -4.5 * (Z(9) @ Z(3)) + -4.0 * (Z(9) @ Z(6)) + 1.5 * (Z(9) @ Z(7)) + 2.0 * (Z(10) @ Z(5)) + -4... | 4 | 11 | 1 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["00011111111"], "largest_eigenvalue": 48.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.005657063570794406) q[0];
rz(0.9337258035837905) q[0];
rx(-0.8885111792235566) q[1];
rz(1.9039200267009306) q[1];
rx(-1.5673186994839194) q[2];
rz(1.7071903555788168) q[2];
rx(-0.0074981374813245716) q[3];
rz(1.4553739472195204) q[3];
rx(-0.007498137481324572) 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": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIZIZIII",
"IIIIZZIIIII",
"IIIIZIIZIII",
"IIIZIZIIIII",
"IIIZIIIZIII",
"IIIZZIIIIII",
"IZIIIZIIIII",
"IZIIIIIZIII",
"IZIIZIIIIII",
"IZIZIIIIIII",
"ZIIIIZIIIII",
"ZIIIIIIZIII",
"ZIIIZIIIIII",
"ZIIZIIIIIII",
"ZZIIIIIIIII",
"IIIIIZZII... | [
-1.5,
0.5,
-1.5,
-3.5,
-3.5,
-4,
0.5,
-4,
1,
-4,
-4.5,
-4,
1.5,
2,
-4,
-4.5,
-3.5,
-4.5,
1,
1,
-4,
0.5,
-4,
1.5,
1,
2,
2,
-3.5,
-4.5,
-4,
-3.5,
0.5,
0.5,
0.5,
-3,
-3.5,
-3.5,
2,
-3.5,
-3.5,
2,
-4
] | 0.978631 | [
-0.005657063570794407,
-0.6370705232111057,
-0.8885111792235567,
0.3331236999060347,
-1.5673186994839197,
0.13639402878392093,
-0.007498137481324572,
-0.11542237957537538,
-0.03026777359984946,
0.03831259966305737,
-0.09696212238860348,
0.09324535623004288,
-0.037196920788848516,
0.2820740... | {
"n_parameters": 26,
"n_qubits": 11,
"optimal_eigenvalue": -74.5,
"target_ratio": 0.97,
"target_value": -72.265
} | 1 |
0ae9b6f2b61290137ab22e2dafb0c164 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 4}, {"weight": 18, "source": 0, "target": 2}, {"weight": 11, "source": 1, "target": 4}, {"weight": 14, "source"... | {"states": [121, 61], "expectation_value": -13.284046088691824, "params": [[-0.035300000000000005, -0.0105, -0.019200000000000002, -0.0287], [0.057, 0.022000000000000002, 0.0274, 0.0395]], "bitstrings": ["0000110", "1000010"], "total_optimization_steps": 10, "probabilities": [0.01996163134543896, 0.024277549922647655],... | 3.0 * (Z(0) @ Z(1)) + 3.0 * (Z(2) @ Z(1)) + 3.0 * (Z(2) @ Z(0)) + 3.0 * (Z(3) @ Z(0)) + 3.0 * (Z(4) @ Z(0)) + 3.0 * (Z(4) @ Z(2)) + 3.0 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(3)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) @ Z(5)) + 12.0 * Z(1) + 7.0 * Z(0) + 12.5 * ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-53.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.5, "smallest_bitstrings": ["1000010"], "largest_eigenvalue": 112.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-2.877107649955667) q[0];
rz(-pi) q[0];
ry(-0.05357145502017478) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2987883161683555) q[2];
ry(-0.03652883594563631) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.008100928029173525) q[3];
cx q[2], q[3];
ry(-0.03652883594563631) q[4];
rz(-pi) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 5}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIZIII",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
12,
7,
12.5,
13,
11.5,
4.5,
13
] | 0.99193 | [
-1.547794302812402,
-1.5261665628200867,
1.2987883161683555,
-0.01620185605834705,
0.015046013984830048,
0.20950853127499908,
0.061138862075359936
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
4d1240ef072f6b149c3e83e07e8a9609 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 5, "source": 0, ... | {"states": [33, 1], "expectation_value": -4.939190126299254, "params": [[0.07150000000000001, 0.054, 0.0522], [-0.0828, -0.051800000000000006, -0.0495]], "bitstrings": ["11011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.015535856362085985, 0.01666732713237451], "optimization_time": 4.569441556... | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + -1.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + 4.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(3)) + -1.75 * (Z(4) @ Z(5)) + -1.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(5)) + -2.25 * (Z(6)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.03094265542534383) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.018570212303029236) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.3662410886362089) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.292339872234475) q[3];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IIIZIIII",
"IZIIIIII"
] | [
-1,
-1.25,
-0.25,
-0.75,
-1.25,
-0.25,
4.5,
-1,
-0.75,
-1.75,
-1.25,
-1,
-0.25,
-2.25,
-2.5,
-0.25,
0,
-0.75,
-2,
2.75,
1.5,
1.25
] | 0.972478 | [
-0.03094265542534383,
-0.018570212303029236,
-0.3662410886362089,
-0.292339872234475,
0.18643239165999725,
-0.042105846680713904,
-0.35492225998324284,
-0.9176911559791833,
-0.6585345465350182,
-0.8674445659285661,
0.32348541433135186,
-0.7491769655864439,
-0.8054647241796289,
-1.558448271... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 172 |
7af7d775bcaae53afe2e6cd801577577 | 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": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4... | {"states": [53, 61], "expectation_value": -4.51330444394829, "params": null, "bitstrings": ["1001010", "1000010"], "total_optimization_steps": 37, "probabilities": [0.32302797343036166, 0.3231981112727231], "optimization_time": 26.0309739112854} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + -0.5 * Z(5) + -0.75 * Z(3) + 1.25 * Z(1) + 0.0 * Z(4) + -0.25 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000000", "1000010", "1001000", "1001010"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-3.566343849078252e-08) q[0];
h q[1];
ry(1.5707964254551867) q[1];
h q[2];
ry(0.7853981577683291) q[2];
h q[3];
h q[4];
cx q[4], q[2];
ry(-0.7853981577683291) q[2];
cx q[4], q[2];
ry(0.6154797280173793) q[4];
cx q[2], q[4];
ry(-0.6154797280173793) q[4];
cx q[... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5706) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIZIZ",
"IZIIZII",
"IZIIIIZ",
"IIIZIZI",
"IIZIZII",
"IIZIIZI",
"ZIIIIIZ",
"ZZIIIII",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII"
] | [
-0.25,
-0.5,
-0.5,
-0.75,
-1.25,
-0.5,
1,
-0.5,
-0.75,
0.5,
-0.25,
-0.5,
-0.75,
1.25,
0,
-0.25
] | 0.95 | [
1.5707964254551867,
1.5707963155366582,
1.2309594560347585,
-7.132687698156503e-8,
2.189959071533727,
-0.47139845987290235,
-1.3036990549846905,
0.9516337926517188,
-0.3288340396280566,
-0.2670971148890294,
-0.8747769099903144,
-1.5707965383304736,
-2.53334717147801e-7,
0.5628747003910123,... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 393 |
7e286c90f17ff7394c4075cb20f3e88f | 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": 16, "source": 0, "target": 2}, {"weight": 11, "source": 0, "target": 5}, {"weight": 13, "source": 0, "tar... | {"states": [422, 244], "expectation_value": -14.965597769697663, "params": [[-0.040100000000000004, -0.0195], [0.0693, 0.055400000000000005]], "bitstrings": ["001011001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.0064716041210281135, 0.007814498352186769], "optimization_time": 3.549750804901123} | 4.5 * (Z(0) @ Z(3)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 15.5 * Z(3) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-79.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 154.0} | 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[0];
rz(0.050938511907527545) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.050938511907527545) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(0.050938511907527545) q[1];
cx q[0], q[1];
cx q[3], q[2];
rz(0.050938511907527545) q[2];
cx q[3], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIZIIIZ",
"IIIZIIIZI",
"IIZIIIIZI",
"IIZZIIIII",
"IZIIIIZII",
"IZIIZIIII",
"ZIIIIZIII",
"ZIZIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
15.5,
9.5,
21.5,
14.5,
8.5,
2.5,
11.5,
5,
2.5
] | 0.977207 | [
0.050938511907527545,
1.5110427598651417,
-1.3453737194952657,
1.6793906775993144,
1.648585338732644,
1.5483490016537944,
-1.7084981758957947,
1.5072914727695665,
-0.9400283298899536,
-1.5223856545642962
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -79,
"target_ratio": 0.97,
"target_value": -76.63
} | 51 |
d972279ded7f316374e6dacb276633a3 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, ... | {"states": [127, 63], "expectation_value": -8.246022690664965, "params": null, "bitstrings": ["10000000", "11000000"], "total_optimization_steps": 92, "probabilities": [0.20212563034862113, 0.47108249525079704], "optimization_time": 145.9586317539215} | -1.0 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(5)) + -1.75 * (Z(6) @ Z(2)) + 2.0 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-8.75, -8.75, -8.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.75, "smallest_bitstrings": ["11101110", "10000000", "11000000"], "largest_eigenvalue": 11.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.13442413146705395) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.07286226668025671) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.1861896832309193) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(-0.07286226668025671) q[2];
cx q[3], q[... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5706) q[6], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIZZIIII",
"IIIIZZII",
"IIIZIZII",
"IIZIIZII",
"IZIIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII",
"ZIIIIIII"
] | [
-1,
-0.5,
-0.25,
-0.25,
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-1,
-1.75,
2,
-1.25,
-1,
-0.5,
-0.25,
1,
0.25,
0.25,
0.75,
-1.25,
-0.25
] | 0.670838 | [
0.13442413146705395,
-0.07286226668025671,
-0.1861896832309193,
0.1849566279514951,
2.809786825153633,
-1.1485726075418965,
0.38576139094804596,
-1.4038660711190325,
-1.540477952854178,
1.5029054381745803,
1.162846184501586
] | {
"n_parameters": 11,
"n_qubits": 8,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 322 |
fd959b015d7c5b50b2cd05831ed95a60 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [87, 61], "expectation_value": -0.19183537028072492, "params": [[0.0694, 0.0816], [-0.0575, -0.08]], "bitstrings": ["10101000", "11000010"], "total_optimization_steps": 10, "probabilities": [0.005723771276665393, 0.0057237712766653945], "optimization_time": 6.380656957626343} | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ Z(5)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(2) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(2) @ Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["11000010", "10101000"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.2814273479283241) q[0];
cx q[5], q[0];
rz(0.988627421386453) q[0];
rx(-1.6100914394477277) q[0];
cx q[5], q[1];
rz(-0.2814273479283241) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.2814273479283241) q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} | [
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIZZZI",
"IIIZIIZI",
"IIZIIIZI",
"IIZZIIII",
"IIZZIIZI",
"IZIIIZII",
"ZIIIIZII",
"ZZIIIIII",
"ZZIIIZII",
"IZIZIIII",
"IIIIZIIZ",
"IIZIIIIZ",
"ZIIIIIIZ",
"IIZIZIII",
"ZIIIZIII",
"ZIZIIIII",
"IIZIZIIZ",
"ZIIIZIIZ",
"ZIZIIIIZ",
"ZIZIZII... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.625,
0,
0,
0.125,
-0.25,
0.125,
-0.25,
0.125
] | 0.793132 | [
-0.2814273479283241,
-2.083999084261337,
0.9886274213864532,
-0.2943566891904666,
-0.17545221926890683,
-1.6100914394477277,
0.44025124807503524,
1.5189639182857877,
-0.6158615151039641,
-0.2722032415841509,
-0.7056736669533165
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 249 |
570afb120ac224dc3123b6884272022a | 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": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [7, 70], "expectation_value": -4.49651553808096, "params": null, "bitstrings": ["1111000", "0111001"], "total_optimization_steps": 26, "probabilities": [0.06700898086964666, 0.929746039807431], "optimization_time": 24.22397494316101} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -0.5 * Z(6) + -1.0 * Z(1) + -1.0 * Z(5) + 0.0 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011011", "0111001", "1111000", "1110010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.3835861564523282) q[0];
ry(-0.12865901623097226) q[1];
ry(-0.541033750035841) q[2];
ry(0.19592575110006732) q[3];
ry(0.13925502177702181) q[4];
ry(0.17628327655625287) q[5];
ry(2.2481322520163918) q[6];
ry(-0.01313067584445033) q[7];
ry(1.7935360786981223) q[8];
r... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"ZIIIIIZ",
"IIIZIZI",
"ZIIIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"IIZIZII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-0.5,
-1,
-1,
0
] | 0.978616 | [
1.3835861564523282,
-0.12865901623097226,
-0.541033750035841,
0.19592575110006732,
0.13925502177702181,
0.17628327655625287,
2.2481322520163918,
-0.01313067584445033,
1.7935360786981223,
-0.029196006502633695,
1.5676660849581137,
3.074527066512088,
0.6408159439767485,
3.037196536579389,
... | {
"n_parameters": 19,
"n_qubits": 10,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 38 |
461a504b9826e7d1bfc1c6f1845a3d83 | 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": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [22, 84], "expectation_value": -0.79376826777694, "params": [[0.0775, 0.0775], [-0.08170000000000001, -0.0826]], "bitstrings": ["1101001", "0101011"], "total_optimization_steps": 10, "probabilities": [0.012021543888002792, 0.012021543888002792], "optimization_time": 3.4216666221618652} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.0 * Z(5) + -1.0 * Z(6) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101001", "1101010", "0101011"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.03120252051460415) q[0];
rz(-0.6684701198601921) q[0];
ry(0.47876009748390536) q[1];
rz(0.3409262400185791) q[1];
cx q[1], q[0];
ry(0.14721294990200087) q[0];
rz(-0.45360264503939646) q[0];
ry(0.3435984053258038) q[1];
rz(-0.9384988858791737) q[1];
ry(0.5169658127... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[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];
cx q[3], q[5];
rz(x0) q[5];
cx q[3], q[5]... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IZIZIII",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"ZIIIIZI",
"IIIZZII",
"IIIIZZI",
"IIZZIII",
"IIZIIZI",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1,
-1,
-0.5,
-0.5
] | 0.973389 | [
0.03120252051460415,
-0.6684701198601921,
0.47876009748390536,
0.3409262400185791,
0.5169658127997544,
-0.22069112448161554,
0.06422803559439964,
-0.30958082367571615,
0.31722338761086294,
-0.20828006918348035,
0.020606661659462955,
-0.45125081741926987,
-0.041715055063670695,
0.7212509705... | {
"n_parameters": 143,
"n_qubits": 10,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 164 |
abebab5175d0d0d89bf916154d0e1360 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [182, 190], "expectation_value": -1.7589970073048433, "params": [0.1497, 0.5602, 0.8003, -0.0482, 0.1174, -0.3256, 0.797, -0.061900000000000004, 0.7963, 0.0175, 0.6278, 0.0105, 0.8053, -0.0436, 0.8035, -0.14150000000000001, 0.4601, -0.1391, 0.1348, 0.5689000000000001, 0.8053, 0.0285, 0.11620000000000001, -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(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(0) @ Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(8) @ Z(3)) + 0.25 * (Z(8) @ Z(5)) + -0.25 *... | 18 | 9 | 3 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.3125, "smallest_bitstrings": ["011001000", "100100010", "101000001"], "largest_eigenvalue": 5.6875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-3.0276657592090853e-08) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-3.0276657592090853e-08) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[4];
rz(-3.0276657592090853e-08) q[4];
cx q[2], q[4];
rz(1.5707962011... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIIZZZII",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIZZIIIII",
"IIZZIIIIZ",
"IZIIIIZII",
"IIIZIZIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIIZIZIII",
"IIIIZIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIZIZIIII",
"IZIIZIIII",
"ZIIIZIIII",
"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0... | 0.777778 | [
-3.0276657592090853e-8,
1.5707962011345744,
-1.5707963261737141,
1.5707962746941437,
1.570796338750851
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 149 |
9e72b7dd0d69a46b7f007aaed5517323 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 5, "target": 3}]} | {"states": [28, 7], "expectation_value": -1.0974577677449557, "params": [[0.0565], [-0.0511]], "bitstrings": ["100011", "111000"], "total_optimization_steps": 10, "probabilities": [0.018018164092794872, 0.018295409059341076], "optimization_time": 2.003917694091797} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 * ... | 18 | 6 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(1.5706415412178192) q[0];
ry(0.17738065745091058) q[0];
rz(-1.2289331769937306) q[0];
rz(-2.0064394391485636) q[1];
ry(0.05195164644631841) q[1];
rz(1.6158226668893017) q[1];
rz(-1.4591808629773537) q[2];
ry(0.1438680830206584) q[2];
rz(1.3823592347405116) q[2];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
1.75,
2,
2,
2,
2,
2,
2,
1.75,
-0.5,
-1,
-0.5,
-0.25,
-0.5,
-0.25
] | 0.981301 | [
0.1774500647835066,
0.3748855468174612,
0.04098849267156553,
-0.24415803312160173,
-0.24801868974247307,
-0.151177436467156,
1.6175791763168208,
-0.03242731533050097,
1.9188194167141894,
0.05578166470394768,
1.8647875584561593,
-0.06973403478083848,
-0.0000745897025684443,
-0.0331747529448... | {
"n_parameters": 24,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 16 |
24ec85ceb3f94374e977a871ddcf35bc | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [35, 37], "expectation_value": -3.4965156417764884, "params": null, "bitstrings": ["011100", "011010"], "total_optimization_steps": 22, "probabilities": [0.06700895329534473, 0.9297461640990027], "optimization_time": 16.59984588623047} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["011010", "011100", "010011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.04176737542190623) q[0];
rz(-pi) q[0];
ry(-2.945037601850049) q[1];
rz(-pi) q[1];
h q[2];
ry(1.4906421176738867) q[2];
h q[3];
h q[4];
ry(0.6746829349540775) q[4];
h q[5];
ry(-0.2974549213254869) q[5];
cx q[3], q[5];
ry(0.2974549213254869) q[5];
cx q[3], q[5];
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",
"IIZIZI",
"ZIIIZI",
"ZIIZII",
"IZIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-0.5,
-0.5,
-0.5
] | 0.971567 | [
-1.5669187022824613,
-1.5230986125139825,
1.4906421176738867,
-0.5949098426509738,
1.0949934439908702,
1.1307724253187426,
-0.9752655168159003,
1.349365869908155,
0.5257905149682746,
0.08690217507268594,
-0.18517364442419398,
0.5584956621285644,
0.3260867579106622,
0.07577950181894219,
0... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 12 |
7af7d775bcaae53afe2e6cd801577577 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4... | {"states": [61, 63], "expectation_value": -0.949138542934727, "params": [[0.0707, 0.06470000000000001, 0.040600000000000004], [-0.0741, -0.0649, -0.044000000000000004]], "bitstrings": ["1000010", "1000000"], "total_optimization_steps": 10, "probabilities": [0.013991814966072755, 0.014637787113130376], "optimization_tim... | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + -0.5 * Z(5) + -0.75 * Z(3) + 1.25 * Z(1) + 0.0 * Z(4) + -0.25 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000000", "1000010", "1001000", "1001010"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-3.566343849078252e-08) q[0];
h q[1];
ry(1.5707964254551867) q[1];
h q[2];
ry(0.7853981577683291) q[2];
h q[3];
h q[4];
cx q[4], q[2];
ry(-0.7853981577683291) q[2];
cx q[4], q[2];
ry(0.6154797280173793) q[4];
cx q[2], q[4];
ry(-0.6154797280173793) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IZIIZII",
"IZIIIIZ",
"IIIZIZI",
"IIZIZII",
"IIZIIZI",
"ZIIIIIZ",
"ZZIIIII",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII"
] | [
-0.25,
-0.5,
-0.5,
-0.75,
-1.25,
-0.5,
1,
-0.5,
-0.75,
0.5,
-0.25,
-0.5,
-0.75,
1.25,
0,
-0.25
] | 0.95 | [
1.5707964254551867,
1.5707963155366582,
1.2309594560347585,
-7.132687698156503e-8,
2.189959071533727,
-0.47139845987290235,
-1.3036990549846905,
0.9516337926517188,
-0.3288340396280566,
-0.2670971148890294,
-0.8747769099903144,
-1.5707965383304736,
-2.53334717147801e-7,
0.5628747003910123,... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 393 |
eedfffae46889ceabb09be93decddfde | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 2}, {"weight": 4, "source": 2, "target": 3}, {"... | {"states": [121, 109], "expectation_value": -5.733049319544223, "params": [[0.043300000000000005], [-0.0413]], "bitstrings": ["10000110", "10010010"], "total_optimization_steps": 10, "probabilities": [0.005888786336852479, 0.006077884991083448], "optimization_time": 2.6192798614501953} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 2.0 * Z(0) + 18.0 * ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 138.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(4.217220369268761e-08) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(4.217220369268761e-08) q[1];
cx q[2], q[1];
rz(1.2027812523740522e-08) q[2];
rx(1.5707964081955679) q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[0], q[6];
rz(4.21722036... | 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[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIZII",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
2,
18,
6,
19.5,
14.5,
5,
7.5
] | 0.555556 | [
4.217220369268761e-8,
1.2027812282288794e-8,
1.5707961882202157,
1.570796334854686,
-1.5707962765535362,
1.570796408195568
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 169 |
f83a24061b1538365ea5863841ae1bf9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 12, "source": 0, "target": 3}, {"weight": 17, "source": 1, "tar... | {"states": [419, 242], "expectation_value": -9.116239364968525, "params": [[0.050800000000000005], [-0.06760000000000001]], "bitstrings": ["001011100", "100001101"], "total_optimization_steps": 10, "probabilities": [0.004315139579360417, 0.004544613500568406], "optimization_time": 4.247614860534668} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(7)) + 14.5 * Z(2) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["100001101"], "largest_eigenvalue": 152.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.04871646612516628) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.04871646612516628) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.04871646612516628) q[1];
cx q[0], q[1];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.04871646612516628) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZIIIZ",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIZIIIZI",
"IIZIIZIII",
"IZIIIIZII",
"IZIIIZIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14.5,
12,
10.5,
10,
17.5,
-2.5,
3,
15.5,
8.5
] | 0.970674 | [
0.04871646612516628,
-1.8688513198462988,
0.7685111574059985,
-0.8440976668675935,
-1.792414361819576,
-0.8909371382579828,
1.275892672462125,
1.3454998306546064,
-0.9336965764881793,
0.722699565597045,
1.0788790798445864,
-0.003455671583784653,
0.2680719975684451,
1.0517416217444742,
-1... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 72 |
7eb25a4a5508592aaee9c259cef8964d | 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": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 5, "target": 6}, {"sour... | {"states": [255, 223], "expectation_value": -0.7946313763264728, "params": [[-0.06620000000000001], [0.0751]], "bitstrings": ["00000000", "00100000"], "total_optimization_steps": 10, "probabilities": [0.0056050925597688536, 0.005717280090622767], "optimization_time": 2.632676839828491} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -2.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) + 0.5 * Z(7) + -0.5 * Z(2) | 1 | 8 | 1 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["00100000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.5745472440099801) q[0];
cx q[1], q[0];
rz(0.003832849866401311) q[0];
rx(1.0345493081204824) q[0];
rz(0.003832849866401311) q[1];
rx(1.0345493081204824) q[1];
rz(3.1415925249726886) q[2];
ry(0.5362470186744195) q[2];
rz(1.570796476413... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[4], q[3]... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIZIIII",
"IZIIZIII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII"
] | [
-1,
-1.5,
-2,
-2,
0.5,
0.5,
-2.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.595345 | [
1.5745472440099801,
1.2194484001129489,
1.1280563672987713,
0.0038328498664012708,
0.11581350976257719,
1.5707964032371307,
1.0345493081204822
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 184 |
ac8f6040a5bb03cdcb904dd06b95ed2a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "source": 2, "target": 4}, {"capacity": 2, "source": 4, ... | {"states": [128, 9], "expectation_value": -5.372874733577534, "params": [[0.136, 0.0839, 0.0082, 0.0114], [-0.1484, -0.1472, -0.15230000000000002, -0.1371]], "bitstrings": ["01111111", "11110110"], "total_optimization_steps": 20, "probabilities": [0.03608635816356883, 0.04001968877024378], "optimization_time": 6.615555... | -0.75 * (Z(0) @ Z(2)) + 1.0 * (Z(7) @ Z(0)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(7) + 3.5 * Z(4) + -1.2... | 1 | 8 | 4 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -7.5, "smallest_bitstrings": ["11110110", "11110100", "11110000", "10010000", "11100000", "11100100", "11100110", "10000000", "10100000", "11000100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7386445555225505) q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(1.699357435260052) q[4];
h q[5];
ry(0.7857912315345207) q[5];
h q[6];
ry(0.7952068497622999) q[6];
cx q[4], q[6];
ry(-0.7952068497622999) q[6];
cx q[4], q[6];
cx q[6], q[5];
ry(-0.7857912315345207)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"ZIIIIIIZ",
"IIIZIZII",
"ZIIZIIII",
"IIIZIIZI",
"IIIZZIII",
"IIZZIIII",
"IIZIIIZI",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"IIIIIZII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIZI",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.75,
1,
-0.75,
-1,
-0.5,
-1.25,
-0.25,
-0.75,
-1.25,
-1.25,
-0.75,
-1.25,
-0.25,
0,
3.5,
-1.25,
-1.25,
-0.25,
0.75
] | 0.970151 | [
1.699357435260052,
1.5904136995245999,
1.6413495966824776,
-1.477289111045101,
1.5715824630690414,
-0.34092506407667983,
-1.075228145254072,
0.3564144742520738,
0.28922954353875785,
0.4885601712472523,
0.1255007105163221,
0.21953165800446972,
-0.743637569163143,
0.48812527030861697,
-1.0... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 15 |
36bc612e0322886e175cda5a18a8b6d9 | 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": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [144, 176], "expectation_value": -2.890020244631932, "params": [[[0.6067, 0.0028], [0.1636, 0.23290000000000002], [0.6032000000000001, 0.0013000000000000002], [0.6055, 0.0032], [0.0021000000000000003, 0.45980000000000004], [0.0048000000000000004, 0.4238], [0.1686, 0.23170000000000002], [0.0009000000000000001... | 0.5 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(5) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(5) @ Z(3)) + -0.0625 * (Z(0) @ Z(2) @ Z(4)) + -0.0625 * (Z(0)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-4.0625, -4.0625, -4.0625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0625, "smallest_bitstrings": ["10001111", "01001111", "01101101"], "largest_eigenvalue": 6.9375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.4699154184693155) q[0];
ry(3.0826136600441525) q[0];
rz(-1.6721583245249416) q[0];
rz(1.768561346757501) q[1];
ry(0.19489232234323764) q[1];
rz(-1.625383124529531) q[1];
rz(-0.034525061410001) q[2];
ry(2.896149928164988) q[2];
rz(2.9825217145872758) q[2];
rz(1.7899... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIIZIIZ",
"IIIZIZII",
"IIZIIZII",
"IIIIZZII",
"IIZZIIII",
"IIIZZIII",
"IIZIZIII",
"IIIZIZIZ",
"IIZIIZIZ",
"IIIIZZIZ",
"IIZZIIIZ",
"IIIZZIIZ",
"IIZIZIIZ",
"IIZZIZII",
"IIIZZZII",
"IIZIZZII",
"IIZZZIII",
"IIZZIZIZ",
"IIIZZZI... | [
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.5,
0.5,
0.5,
-0.0625,
-0.5,
... | 0.978477 | [
1.1355541671065803,
-0.003527757263542479,
-0.02301594544299391,
0.18718982180600888,
1.243676337170396,
-0.14491975384512418,
1.1374533430750573,
-0.016779840620245096,
-0.10700372813155366,
0.7292634592177971,
-0.2737777493242993,
0.3168756280992109,
0.6444637049918576,
0.042181266961096... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -4.0625,
"target_ratio": 0.97,
"target_value": -3.940625
} | 13 |
24ec85ceb3f94374e977a871ddcf35bc | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [44, 60], "expectation_value": -1.5707264156630263, "params": [0.0012000000000000001, 0.46190000000000003, 0.6008, -0.0023, 0.5981000000000001, -0.0013000000000000002, 0.5978, -0.0007, 0.6069, -0.0734, 0.3174, -0.1295, 0.16110000000000002, 0.23470000000000002, 0.0029000000000000002, 0.44630000000000003, 0.60... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 18 | 7 | 3 | {"smallest_eigenvalues": [-3.375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.375, "smallest_bitstrings": ["1000011"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.04176737542190623) q[0];
rz(-pi) q[0];
ry(-2.945037601850049) q[1];
rz(-pi) q[1];
h q[2];
ry(1.4906421176738867) q[2];
h q[3];
h q[4];
ry(0.6746829349540775) q[4];
h q[5];
ry(-0.2974549213254869) q[5];
cx q[3], q[5];
ry(0.2974549213254869) q[5];
cx q[3], q[5];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"IIIIZZZ",
"IIIZIZZ",
"IIIZZIZ",
"IIIZZZI",
"IIIZZZZ",
"IIZIIZI",
"IZIIIZI",
"IZZIIII",
"IZZIIZI",
"ZIIIZII",
"ZIZIIII",
"IZIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
-0.625,
0.125,
-0.125,
-0.125,
-0.25,
-0.25,
-0.5
] | 0.971567 | [
-1.5669187022824613,
-1.5230986125139825,
1.4906421176738867,
-0.5949098426509738,
1.0949934439908702,
1.1307724253187426,
-0.9752655168159003,
1.349365869908155,
0.5257905149682746,
0.08690217507268594,
-0.18517364442419398,
0.5584956621285644,
0.3260867579106622,
0.07577950181894219,
0... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 12 |
319cf79193dd12504081b946bd90da21 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5},... | {"states": [2047, 1023], "expectation_value": -16.5177654106231, "params": [[[-1.6088, 0.0034000000000000002], [0.0024000000000000002, 0.0058000000000000005], [0.0025, 0.0025], [-0.0026000000000000003, 0.0099], [0.0023, 0.0051], [0.0025, 0.0035], [0.0024000000000000002, 0.0073], [-0.0027, 0.005], [0.0028, 0.00390000000... | -1.5 * (Z(3) @ Z(4)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(9)) + 0.5 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + -2.0 * (Z(10) @ Z(2)) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * ... | 2 | 11 | 1 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-1.89303170277094) q[0];
rz(0.04815504342172397) q[0];
rx(0.04940562618590294) q[1];
rz(0.10022055762014767) q[1];
rx(-0.00117869706831418) q[2];
rz(-0.00117869706831418) q[2];
rx(-0.0585098752994057) q[3];
rz(0.3370258089620377) q[3];
rx(-0.007584822232665154) 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] x2;
input float[64] x3;
input float[6... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIZZIII",
"IIIIZIZIIII",
"IIIIZIIZIII",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIZZIIIIIII",
"IZIIIIIIIZI",
"IIIIIIIIZZI",
"IZIIIIIIZII",
"ZIIIIIIIIZI",
"ZZIIIIIIIII",
"ZIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIIIII",
"IIIIIIIII... | [
-1.5,
-2,
0.5,
0.5,
-1.5,
-1,
-1.5,
-2,
-2,
0.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.973404 | [
-1.89303170277094,
0.04815504342172397,
0.04940562618590294,
0.10022055762014767,
-0.00117869706831418,
-0.0585098752994057,
0.3370258089620377,
-0.007584822232665154,
-0.18206102537738783,
-0.06946530189956951,
0.06237920807138015,
0.011950776610314844,
0.13816928844830917,
0.002799529328... | {
"n_parameters": 19,
"n_qubits": 11,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 4 |
8bd549bac35fc0555b3d70370196edc2 | 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": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "ta... | {"states": [224, 226], "expectation_value": -4.171831836869386, "params": [1.4081000000000001, 0.0007, 1.3999000000000001, 0.0038, 1.4014, -0.40090000000000003, -0.0106, 0.3982, 0.0427, -0.0027, 1.3982, -0.0012000000000000001, 1.4133, -0.0028, 0.7711, 0.00030000000000000003, 1.3816000000000002, 1.3787, -0.2256000000000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.5 * Z(4) + -0.5 * Z(7) + ... | 4 | 8 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["00011101"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.8571245143000064) q[0];
rz(1.676508198874762) q[0];
rx(1.9521514149616825) q[1];
rz(1.380126083574421) q[1];
rx(2.9435507719001053) q[2];
rz(1.1988471796077027) q[2];
rx(-0.07139443112339346) q[3];
rz(2.7692806276023845) q[3];
rx(0.1022121337601184) q[4];
rz(1.8393... | 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",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIZIZII",
"ZIIIIZII",
"IIZIZIII",
"IIZZIIII",
"IIZIIZII",
"IZIIZIII",
"IZZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-0.5,
-0.5,
-1,
-1.5,
-0.5
] | 0.976155 | [
1.8571245143000066,
0.10571187207986577,
1.9521514149616825,
-0.19067024322047577,
2.9435507719001053,
-0.371949147187194,
-0.07139443112339346,
1.1984843008074864,
0.10221213376011841,
0.2685611879489381,
1.4376300058760987,
0.3284996036346511,
3.180106088194973,
0.07783409903696348,
-0... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 21 |
6836854440805596965 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 9, 3, 0], [8, 4], [0, 3, 6, 7], [0, 1, 4], [0, 8, 5], [2, 3, 4, 7], [1, 3, 5, 7], [0, 2, 4], [0, 9, 3, 5], [4, 6]]} | {"states": [629, 628], "expectation_value": -2.6667225621479616, "params": [1.3938000000000001, -0.0034000000000000002, 0.8583000000000001, 0.0017000000000000001, 1.4002000000000001, -0.00030000000000000003, 1.3932, 0.01, 1.4012, 0.0022, 1.3967, 0.0038, 1.3901000000000001, 0.0012000000000000001, 1.3542, 0.0033, 1.385, ... | 0.08333333333333333 * (Z(8) @ Z(9)) + 0.16666666666666666 * (Z(3) @ Z(9)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.16666666666666666 * (Z(0) @ Z(9)) + 0.25 * (Z(0) @ Z(8)) + 0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(8)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(... | 6 | 10 | 1 | {"smallest_eigenvalues": [-3.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["0110001011"], "largest_eigenvalue": 9.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(2.038777846189843) q[0];
rz(1.5867212588584287) q[0];
rx(1.9274355205011267) q[1];
rz(1.5581843320617121) q[1];
rx(3.0617055596335447) q[2];
rz(1.598816722748551) q[2];
rx(1.4127099253211484) q[3];
rz(1.5425276267489743) q[3];
rx(2.5436277890448338) q[4];
rz(1.51482... | 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": []} | [
"ZZIIIIIIII",
"ZIIIIIZIII",
"IZIIIIZIII",
"ZIIIIIIIIZ",
"IZIIIIIIIZ",
"IIIIIIZIIZ",
"IZIIIZIIII",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIZIIZIII",
"IIIZIIIIIZ",
"IIIZIZIIII",
"IIZIIIZIII",
"IIZIIIIIIZ",
"IIZIIZIIII",
"IIZZIIIIII",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIZIIIIIZI"... | [
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.25,
0.25,
0.5,
0.08333333333333333,
0.3333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.1... | 0.970062 | [
2.038777846189843,
0.015924932063532637,
1.9274355205011267,
-0.012611994733184383,
3.0617055596335447,
0.028020395953654416,
1.4127099253211484,
-0.028268700045922083,
2.5436277890448338,
-0.05597339807402547,
1.2806358850106054,
-0.02119799224292796,
0.07545677957715614,
0.09687001002915... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -3.166666666666666,
"target_ratio": 0.97,
"target_value": -3.071666666666666
} | 253 |
d55d504e597705d8581d37ec0d2e41ca | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 1, "target": 6... | {"states": [64, 63], "expectation_value": -0.432798842612188, "params": [[0.0325, 0.0405, 0.051300000000000005, 0.069], [-0.0224, -0.0342, -0.0352, -0.0454]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.011368347507614174, 0.01230132939791539], "optimization_time": 5.131809... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + 0.75 * Z(1) + -0.25 * Z(0) + -0.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(2) + 0.75 * Z(3) + 0.25 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["1000000", "1010010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6828792687147329) q[0];
h q[1];
ry(1.5288445153467216) q[1];
h q[2];
h q[3];
ry(1.5288445153467216) q[3];
h q[4];
ry(1.4916621282624816) q[4];
h q[5];
ry(0.7458310641312408) q[5];
cx q[2], q[5];
ry(-0.7458310641312408) q[5];
cx q[2], q[5];
ry(0.59828678975... | 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",
"ZIIIIZI",
"ZIIIIIZ",
"IZIIIZI",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"ZIZIIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IZIIIII",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
-0.75,
0.5,
-0.5,
-1,
-0.5,
-0.25,
-0.25,
-0.25,
0.75,
-0.25,
-0.5,
-0.5,
-0.5,
0.75,
0.25
] | 0.989602 | [
1.5288445153467216,
1.4916621282624816,
1.550097850061895,
-1.3657585374294658,
1.196573579508862,
0.11369926623801563,
-0.014047065055423413,
0.09207660432302629,
-0.10038361002430576,
0.08382100900060677,
0.15687837360702134,
-0.10724578865064746,
0.0600104112675679,
0.05940034969983188,... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 1 |
edc3bac605c0e8fb4f027513dd92e8fb | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [206, 143], "expectation_value": -1.9921650704592762, "params": null, "bitstrings": ["00110001", "01110000"], "total_optimization_steps": 62, "probabilities": [0.09659391380377318, 0.7394272563540675], "optimization_time": 156.75846529006958} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -1.25, "smallest_bitstrings": ["01010100", "11000010", "00110001", "00111000", "10010001", "10000011", "01000110", "01001010", "01110000", "... | 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... | 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(-1.1871) q[6], 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] = me... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIIZZIIZ",
"IIZIZIIZ",
"IIZZIIIZ",
"IIZZZIII",
"IIZZZIIZ",
"IZIIZIII",
"IIIZIIZI",
"ZIIIIIZI",
"ZIIZIIII",
"ZIIZIIZI",
"IIZIIZII",
"IZIIIZII",
"ZIIIIZI... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0,
0.125,
-0.125,
0.12... | 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 |
cc89497833504b7849e07f8e2862e02c | 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": [335, 327], "expectation_value": -78.91511988861478, "params": [0.9979, 0.1736, 0.33390000000000003, 0.3924, 0.9991000000000001, 0.0017000000000000001, 0.0029000000000000002, -0.6333000000000001, -0.0064, -0.4973, 0.5159, 0.265, 0.9998, -0.0009000000000000001, 0.9898, 0.0178, 0.9908, -0.0001, 0.9902000000000... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(0) @ Z(2)) + 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(3) @ Z(6)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(7) @ Z(0)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(8) @ Z(0)) + 6.0 * (Z(8) @ Z(5)) + 6.0 * (Z(8) @ Z(7)) + 13.5 * Z(2) + 4.0 * Z(1) + 27.5 * Z(0) + -2.5 * Z(4) + 6... | 18 | 9 | 3 | {"smallest_eigenvalues": [-91.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["010111000"], "largest_eigenvalue": 159.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(3.0838302050962376) q[0];
rz(-0.33763388214114487) q[0];
rx(0.6062285710444959) q[1];
rz(-0.006748405626452542) q[1];
rx(3.149952334508975) q[2];
rz(0.06549922444059615) q[2];
rx(0.05657890541563115) q[3];
rz(0.09040272094446254) q[3];
rx(0.2969935120027983) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIZIZII",
"IIZIIZIII",
"IIIZIIIIZ",
"IIZZIIIII",
"IZIIIIIIZ",
"IZIZIIIII",
"ZIIIIIIIZ",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIZIIIIII",
"IIIIIZIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
13.5,
4,
27.5,
-2.5,
6,
-5.5,
14,
15,
15.5
] | 0.970629 | [
3.0838302050962376,
-0.18220512378432688,
0.6062285710444959,
-0.006748405626452542,
3.149952334508975,
0.06549922444059615,
0.05657890541563115,
0.09040272094446254,
0.2969935120027983,
0.04900823350260851,
0.37989213416339274,
0.35733013555576265,
3.0428057298106017,
0.22232006878295751,... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -91.5,
"target_ratio": 0.97,
"target_value": -88.755
} | 11 |
e9cd4f16fca9474ca53962a2c5c7dd8e | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 5, "target":... | {"states": [412, 508], "expectation_value": -0.7164177777915877, "params": [[-0.08850000000000001], [0.0818]], "bitstrings": ["001100011", "000000011"], "total_optimization_steps": 10, "probabilities": [0.003201748371238032, 0.003378230615284589], "optimization_time": 1.2270619869232178} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + -1.0 * Z(8) + -1.0 * Z(7) | 5 | 9 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["000000011"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-1.5496310099142134) q[0];
rz(1.4717697936179306) q[0];
rx(0.131307132326481) q[1];
rz(-2.9174954751874385) q[1];
rx(1.612319384674029) q[2];
rz(1.5116596538706402) q[2];
rx(1.904268082796584) q[3];
rz(1.6200215386721482) q[3];
rx(3.0753568187891713) q[4];
rz(2.79965... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[5], q[4];
rz(x1) ... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIZZIIII",
"IIZZIIIII",
"IIZIZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-1,
-1,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.975363 | [
-1.5496310099142134,
-0.09902653317696716,
0.131307132326481,
1.7948935051972514,
1.612319384674029,
-0.0591366729242561,
1.9042680827965843,
0.049225211877251734,
-3.2078284883904153,
1.2288593876384062,
-3.083343183371236,
0.6713821197635426,
-0.1208696439485555,
0.5417121545273366,
0.... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 257 |
1182903072159831991 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 9], [1, 12], [9, 12], [2, 3], [5, 7], [9, 7], [0, 1], [2, 11], [1, 7], [1, 11], [1, 3], [12, 5], [8, 3], [3, 6], [4, 12], [0, 3], [8, 7], [0, 5], [8, 10], [10, 5], [0, 7], [8, 2], [10, 2], [12, 6], [0, 11], [9, 3], [10, 3], [11, 12], [3, 12], [8, ... | {"states": [4056, 3544], "expectation_value": -0.9193371840806631, "params": [0.6163000000000001, 0.6145, 0.9649000000000001, 0.9629000000000001, 0.9554, 0.9572, 0.6959000000000001, 0.7031000000000001, 0.9576, 0.9640000000000001, 0.9903000000000001, 0.9845, 0.9485, 0.9545, 0.6068, 0.6056, 0.9496, 0.9491, 0.9576, 0.9562... | 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(12) @ Z(1)) + 0.5 * (Z(3) @ Z(9)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(12)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(12)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z... | 13 | 13 | 1 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.0, "smallest_bitstrings": ["1110111011000", "1001000100111", "0110111011000", "0001000100111"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.11435483522118695) q[0];
rz(0.033608815425912986) q[0];
ry(2.021195878753851) q[1];
ry(1.868024031923557) q[2];
ry(0.447626921770115) q[3];
ry(1.9592883671022054) q[4];
ry(1.4735093139700244) q[5];
ry(1.9053593787041494) q[6];
ry(-0.18632065477942555) q[7];
ry(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] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIIIIIIZ",
"IIIIIIIIIIIZZ",
"ZIIZIIIIIIIII",
"ZIIIIIIIIIIZI",
"IIIZIIIIIZIII",
"IIIIIIIIIZIIZ",
"IIIIIIIIIZIZI",
"ZIIIIIIIIZIII",
"IIIIIIIIIZZII",
"IIIIIIIZIIIIZ",
"ZIIIIIIZIIIII",
"IIIZIZIIIIIII",
"IIIIIZIIIIIIZ",
"IIIIIZIIIIIZI",
"IIIIIZIZIIIII",
"IZIIIIIIIIIIZ",
"IZIIIIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.971423 | [
0.11435483522118695,
2.021195878753851,
1.868024031923557,
0.447626921770115,
1.9592883671022054,
1.4735093139700244,
1.9053593787041494,
-0.18632065477942555,
1.969210945733512,
-0.16401026079161998,
0.09865806918261276,
-0.24622337711080275,
0.06721763085182597,
0.42330229305950506,
0.... | {
"n_parameters": 51,
"n_qubits": 13,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 51 |
50803b752054f0512687e537ee7368f9 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}]} | {"states": [52, 21], "expectation_value": -2.4964491610978103, "params": null, "bitstrings": ["001011", "101010"], "total_optimization_steps": 22, "probabilities": [0.06701277438190029, 0.9297056987717313], "optimization_time": 13.94535517692566} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(5) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(2) + 0.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["001011", "101010", "111000", "110100"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-3.118963683468091) q[0];
ry(-0.017918109517936636) q[1];
rz(-pi) q[1];
h q[2];
ry(1.5232555292397325) q[2];
ry(-0.11982451051349112) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.0455035030484382) q[3];
cx q[2], q[3];
cx q[2], q[0];
ry(-0.07016976767686646) ... | 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(-1.4449) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"ZIIIIZ",
"IZIIIZ",
"IZIIZI",
"IIIZZI",
"IIZZII",
"ZIIIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-0.5,
-0.5,
-0.5,
-0.5,
0
] | 0.997671 | [
-1.5523952299069044,
-1.4054683132329673,
1.5232555292397325,
-0.0910070060968764,
0.14033953535373292,
-0.02773759371322497,
-0.0009659747401112133
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
-7621616970208835945 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 2, 7], [1, 9], [9, 4, 5], [0, 3, 7], [2, 6], [1, 2, 7], [1, 2, 4], [0, 5, 7], [0, 6], [1, 6, 7], [4, 5, 7], [8, 6, 7], [8, 4]]} | {"states": [237, 109], "expectation_value": -3.65394369454269, "params": [0.0025, 0.0025, -0.0145, 0.0193, 0.7008, 0.7559, 2.3338, 0.8678, 2.0593, 1.028, 2.2113, 0.9884000000000001, 1.4061000000000001, 1.7485000000000002, 1.5729, 1.5730000000000002, 1.4458, 1.7002000000000002, 1.4552, 1.6894, -0.0022, 1.563200000000000... | 0.16666666666666666 * (Z(9) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(9)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(9)) + 0.3333333333333333 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(9)) + 0.16666666666666666 * (Z(4) @ Z(7))... | 14 | 10 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.9999999999999996, "smallest_bitstrings": ["1110010010", "1010000011"], "largest_eigenvalue": 11.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.00994637158143695) q[0];
rz(pi/2) q[0];
ry(-0.09422366953279454) q[1];
ry(0.036592055863212264) q[2];
ry(2.4521358648575133) q[3];
ry(1.8848301208195612) q[4];
ry(2.1352921952090753) q[5];
ry(1.3890059708509845) q[6];
ry(1.4965375852059457) q[7];
ry(1.252976467710... | 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": []} | [
"ZIIIIIIZII",
"IIZIIIIZII",
"ZIZIIIIIII",
"IIIIIIIZZI",
"ZIIIIIIIZI",
"IIZIIIIIZI",
"IIIIIZIZII",
"ZIIIIZIIII",
"IIZIIZIIII",
"IIIIIZIIZI",
"ZIIIZIIIII",
"IIZIZIIIII",
"IIIIZZIIII",
"IIZIIIIIIZ",
"IIIIZIIIIZ",
"IIZIIIZIII",
"IIIIIIZIIZ",
"IIIZIIIZII",
"IIZZIIIIII",
"IIIZIIIIZI"... | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.16666666666666... | 0.97157 | [
0.00994637158143695,
-0.09422366953279454,
0.036592055863212264,
2.4521358648575133,
1.8848301208195612,
2.1352921952090753,
1.3890059708509845,
1.4965375852059457,
1.2529764677100619,
1.551585513044868,
0.10411694150442274,
-0.1181136279495892,
0.3387330954335843,
0.44220782524629204,
-... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 9 |
068ca9ebc869ed2b6b1f40ca0469471e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [96, 97], "expectation_value": -4.019895872518813, "params": [[[0.8105, 0.001], [0.8041, 0.0005], [0.0016, 0.39440000000000003], [0.0021000000000000003, -0.4179], [0.1568, -0.3204], [0.7475, -0.024200000000000003], [0.7917000000000001, -0.0035]], [[0.8051, 0.0074], [0.8058000000000001, 0.002], [0.0038, 0.005... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(3) + -1.0 * Z(1) + ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["0111010", "0011101", "0011110"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.3957985069517005) q[0];
h q[1];
ry(1.5114028040861018) q[1];
h q[2];
ry(-1.526922983837543) q[2];
h q[3];
ry(-1.526922983837543) q[3];
ry(-0.11440455969290664) q[4];
rz(-pi) q[4];
h q[5];
ry(-0.5672591944997557) q[5];
h q[6];
cx q[6], q[5];
ry(0.56725919449... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIIIZZI",
"IIIZIZI",
"IIZIZII",
"IIZZIII",
"IIZIIZI",
"IZIIZII",
"IZZIIII",
"ZIIZIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-2,
-1,
-1.5,
-1,
-0.5
] | 0.997874 | [
-1.526922983837543,
-1.4021260090422283,
1.3957985069517005,
1.5114028040861018,
-1.1345183889995114,
0.552255256194146,
-0.39609545392408263,
0.5830247778065006,
-0.30424605695940454,
0.31827948046517196,
-0.26416314121957485,
-0.10853151611952326,
-0.05051947752201759,
0.1195228129329295... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
-8752934659124691113 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 3, 4, 5, 7, 9], [5, 6, 7, 8, 10, 11], [0, 4, 7, 9, 10], [2, 6, 7, 8, 9, 11], [0, 2, 6, 9, 10, 11], [8, 0, 4, 7], [0, 2, 8, 9, 11], [1, 10, 2, 4], [1, 2, 3, 5, 7, 10], [0, 3, 4, 5, 8, 9], [0, 2, 4, 8, 9], [0, 11, 4], [2, 3, 4, 5, 11], [3, 5, 7, 9, 11],... | {"states": [1781, 3828], "expectation_value": -4.639757066284738, "params": [[1.6009, -0.0023, 2.7764, 0.0022, 1.4857, 0.0023, -0.0021000000000000003, 2.7816, 0.0018000000000000002, 1.5582, -0.0025, 1.4588], [0.23190000000000002, 3.1443000000000003, 0.3688, 0.0022, 1.651, 3.1395, 3.1436, 0.3639, -0.0129, 1.577300000000... | 0.11666666666666667 * (Z(2) @ Z(3)) + 0.15 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.2 * (Z(5) @ Z(3)) + 0.11666666666666667 * (Z(5) @ Z(2)) + 0.11666666666666667 * (Z(5) @ Z(4)) + 0.15 * (Z(7) @ Z(3)) + 0.21666666666666667 * (Z(7) @ Z(2)) + 0.23333333333333334 * (Z(7) @ Z(4)) + 0.15000000000000002 * (Z(7) @ Z(5)) + 0... | 10 | 12 | 1 | {"smallest_eigenvalues": [-4.783333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.533333333333333, "smallest_bitstrings": ["000100001011"], "largest_eigenvalue": 20.499999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.8828629183884997) q[0];
ry(-0.06302869290206918) q[1];
ry(2.7279372462814266) q[2];
ry(0.050496376322156485) q[3];
ry(1.5304335998190004) q[4];
ry(0.00043601101672616216) q[5];
ry(0.06844722863483321) q[6];
ry(2.8542659108302306) q[7];
ry(0.03419738483922291) 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": []} | [
"IIIIIIIIZZII",
"IIIIIIIZZIII",
"IIIIIIIZIZII",
"IIIIIIZIZIII",
"IIIIIIZIIZII",
"IIIIIIZZIIII",
"IIIIZIIIZIII",
"IIIIZIIIIZII",
"IIIIZIIZIIII",
"IIIIZIZIIIII",
"IIZIIIIIZIII",
"IIZIIIIIIZII",
"IIZIIIIZIIII",
"IIZIIIZIIIII",
"IIZIZIIIIIII",
"IIIIIZIIZIII",
"IIIIIZIIIZII",
"IIIIIZZII... | [
0.11666666666666667,
0.15,
0.25,
0.2,
0.11666666666666667,
0.11666666666666667,
0.15,
0.21666666666666667,
0.23333333333333334,
0.15000000000000002,
0.31666666666666665,
0.23333333333333334,
0.23333333333333334,
0.11666666666666667,
0.23333333333333334,
0.5,
0.06666666666666667,
0.... | 0.97132 | [
1.8828629183884997,
-0.06302869290206918,
2.7279372462814266,
0.050496376322156485,
1.5304335998190004,
0.00043601101672616216,
0.06844722863483321,
2.8542659108302306,
0.03419738483922291,
1.4573677645562075,
0.019458747020909203,
1.557830691565352,
0.25532553900669513,
3.1471068009775527... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -4.783333333333333,
"target_ratio": 0.97,
"target_value": -4.639833333333333
} | 4 |
addce8ebbb7a38bf4f3d8f2e9c4914fc | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2},... | {"states": [2047, 2044], "expectation_value": -23.576742767383415, "params": [[[0.0024000000000000002, 3.003], [0.0019, 0.0021000000000000003], [0.002, 0.0019], [0.0018000000000000002, 0.0019], [-0.0023, 0.0018000000000000002], [0.0025, 0.9798], [0.002, 0.0021000000000000003], [0.0021000000000000003, 0.002], [0.0025, 0... | -2.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(4)) + -2.0 * (Z(5) @ Z(7)) + -2.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + 1.0 * (Z(6) @ Z(5)) + -2... | 15 | 11 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.0, "smallest_bitstrings": ["00000000011"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.1785433226287565) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.12831323354234778) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.12831323354234803) q[1];
rx(-1.0186870856521566) q[1];
rz(-1.1785433226287565) q[3];
cx q[0], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[11] c;
qubit[11] q;
ry(x0) q[0];
ry(... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIIZIIZ",
"IIIIIIZIZII",
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IIIIIIIIZZI",
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIZIZIIIII",
"IIZZIIIIIII",
"IIZIIZIIIII",
"IIIZZIIIIII",
"IIIIZZIIIII",
"IIZIZIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIIZ",
"IIIIIIIZI... | [
-2.5,
0.5,
-2,
-2,
-2.5,
0.5,
-2,
1,
-2,
-2,
-2,
-2,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.562328 | [
-1.1785433226287565,
-0.12831323354234778,
-0.7672845437774662,
-0.2023576392765123,
-0.25043439980825344,
-1.0186870856521566
] | {
"n_parameters": 6,
"n_qubits": 11,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 180 |
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": -79.29116991982407, "params": [[[1.1238000000000001, 0.0036000000000000003], [0.1071, -0.006], [-0.0159, -0.0025], [0.7882, 0.0188], [-0.1228, 0.057800000000000004], [0.6634, -0.15860000000000002], [0.14830000000000002, -0.0427], [0.1638, 1.3357], [-0.08940000000000001, 0.33]]... | 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 | 4 | {"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] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12]}"} | {"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 |
9b4be5d748a292e481722f1ef8f75020 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 3}]} | {"states": [45, 13], "expectation_value": -4.170416275888219, "params": [[-0.13570000000000002, -0.0868, -0.09920000000000001], [0.16870000000000002, 0.136, 0.1589]], "bitstrings": ["11010010", "11110010"], "total_optimization_steps": 20, "probabilities": [0.023254447042791473, 0.03481804889899907], "optimization_time"... | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + 0.4 * (Z(1) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 1.0 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 1.0 ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.6000000000000005, -6.6000000000000005], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.999999999999999, "smallest_bitstrings": ["11110010", "11110101"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.14463547101575489) q[0];
rz(-0.9013886526061183) q[0];
rx(0.14200284685399922) q[1];
rz(0.6212693590588447) q[1];
rx(-0.14471618748001755) q[2];
rz(0.4407728646085142) q[2];
rx(-0.14471618748001755) q[3];
rz(-0.9525842351766118) q[3];
rx(1.8131142699027647) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIIZIIZI",
"IIIIIIZZ",
"IIZZIIII",
"IIZIIIIZ",
"IIZIIIZI",
"IZIZIIII",
"IZIIIIIZ",
"IZIIIIZI",
"IZZIIIII",
"ZIIZIIII",
"ZIIIIIIZ",
"ZIIIIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIIZZII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIZII... | [
-0.5,
-0.5,
0.4,
0.5,
-0.5,
-0.5,
1,
-1,
-1,
1,
0.5,
-0.5,
-0.5,
0.5,
1,
-0.2,
2,
-1.7000000000000002,
-1.7000000000000002,
1.5,
3,
1.5,
-0.6000000000000001,
-0.30000000000000004
] | 0.972151 | [
0.1446354710157549,
-0.737814615895959,
0.14200284685399922,
0.6212693590588447,
-0.14471618748001755,
0.4407728646085142,
-0.9525842351766118,
1.8131142699027647,
0.16895032385674386,
0.13369873663334575,
0.20067474335624766,
1.5954489610039433,
0.23189398635567227,
0.7353956036851526,
... | {
"n_parameters": 41,
"n_qubits": 8,
"optimal_eigenvalue": -6.6000000000000005,
"target_ratio": 0.97,
"target_value": -6.402
} | 16 |
184be31d5cef7a0df96adb60f009b8f5 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, ... | {"states": [728, 730], "expectation_value": -0.8358685363373943, "params": [0.8037000000000001, 0.802, 0.6673, 0.6746, 0.8038000000000001, 0.8022, 0.8062, 0.809, 0.5515, 0.5584, 0.8038000000000001, 0.8041, 0.804, 0.8003, 0.6568, 0.6598, 0.8024, 0.8013, 0.0017000000000000001, 0.0025, 0.5536, 0.0091, 0.002400000000000000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(5... | 13 | 10 | 1 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.625, "smallest_bitstrings": ["0100011001", "0010100101", "0001100101", "0100101001", "0110100001", "0100100011", "1000010101", "1000100101", "0100100101"], "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.511712744486858) q[0];
h q[1];
ry(-0.49471069376631144) q[1];
h q[2];
cx q[2], q[1];
ry(0.49471069376631144) q[1];
cx q[2], q[1];
ry(-0.6936347221829589) q[1];
ry(1.0009674514056612) q[2];
h q[3];
ry(1.5013838288438324) q[3];
cx q[3], q[2];
ry(-0.299297876... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIZZIIII",
"IIIIIZIIIZ",
"IIIZIIIIIZ",
"IIIZIZIIII",
"IIIZIZIIIZ",
"IIZIIIIIZI",
"IIIZIIIZII",
"IIZIIIIZII",
"IZIIIIIZII"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
... | 0.994527 | [
-1.511712744486858,
-1.6447834892120756,
-1.5273305942628348,
1.5013838288438324,
1.4417536248617866,
-0.9894213875326229,
0.7016695747878551,
-0.5049361799190388,
0.598595753235612,
-0.3773970845278402,
0.15889937565015966,
-0.04416035628984544,
-0.19694947548304464,
0.20522778123686816,
... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
581d87e3cabe14048d51a5c509a1e910 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [233, 249], "expectation_value": -4.047955731367114, "params": [[[0.0026000000000000003, 0.00030000000000000003], [-0.0031000000000000003, 0.0034000000000000002], [3.1396, 0.008], [3.1393, 0.005200000000000001], [3.1387, 0.0014], [1.6669, 0.0012000000000000001], [3.1394, 0.007], [0.0026000000000000003, 0.005... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(4) @ Z(1) @ Z(2)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(1... | 1 | 10 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1010010100", "1100000110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.02672826627348324) q[0];
rz(-0.2605461469891136) q[0];
rx(-0.03197540254867312) q[1];
rz(-0.13491844108356013) q[1];
rx(3.3705570130036104) q[2];
rz(-0.08442092806049846) q[2];
rx(3.320874874001892) q[3];
rz(0.2616538471961792) q[3];
rx(2.9855627182962876) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIZZZI",
"IIIIIZIZZI",
"IIIIIZZIZI",
"IIIIIZZZII",
"IIIIIZZZZI",
"IIIIZIIIZI",
"IIZZIIIIII",
"IZIIIIIZII",
"IIIIIIZIIZ",
"IIIZIIIIIZ",
"ZIIIIIIIIZ",
"IIIZIIZIII",
"ZIIIIIZIII",
"ZIIZIIIIII"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
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0.125,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.625,
-0.125,
-0.125,
0.25,
-0.125,
-... | 0.973577 | [
0.02672826627348324,
-0.2605461469891136,
-0.03197540254867312,
-0.13491844108356013,
3.3705570130036104,
-0.08442092806049846,
3.320874874001892,
0.2616538471961792,
2.9855627182962876,
-0.17170077391750882,
2.6526385561072288,
-0.2193462885987031,
2.881296504996615,
-0.0460120059265125,
... | {
"n_parameters": 19,
"n_qubits": 10,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 7 |
4e8fbb5ffb8307d7998c34a9ebb74e7b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 8}, {"source": 0, "target":... | {"states": [368, 370], "expectation_value": -7.992139194143718, "params": [[[-0.003, 0.00030000000000000003, 0.0012000000000000001, 0.0038], [1.0466, -0.0027, 1.0518, 0.0022], [0.0022, 0.009300000000000001, 0.0082, 0.0025], [1.0441, -0.0027, 1.0532000000000001, 0.0037], [1.6066, 0.0015, 0.0071, 0.004200000000000001], [... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) ... | 12 | 10 | 1 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["1010001101"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.03902978832365066) q[0];
rz(-0.005572661054610462) q[0];
ry(0.7395904663078802) q[1];
rz(0.15804800560353083) q[1];
cz q[1], q[0];
ry(2.5164894242629643) q[1];
ry(0.13662380530965848) q[2];
rz(-0.04415951679048115) q[2];
ry(1.4003767403562475) q[3];
rz(0.15804800... | 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": []} | [
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IZIIIIIZII",
"IZIIIIIIIZ",
"ZIIIIIIIIZ",
"ZIIIIIZIII",
"ZIIIIZIIII",
"ZZIIIIIIII",
"IIIIIIIZZI",
"IIIZIZIIII",
"ZIIZIIIIII",
"IIIZIIIIZI",
"IIIIZIIZII",
"IIZIIIIZII",
"IZZIIIIIII",
"IIZIZIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-2,
-1,
-1,
-1.5,
-2,
-0.5,
-1,
-0.5,
-1
] | 0.971176 | [
-0.03902978832365066,
-0.005572661054610462,
0.7395904663078802,
0.15804800560353083,
0.13662380530965848,
-0.04415951679048115,
1.4003767403562475,
2.7488999528311777,
-0.31697185929399113,
0.6329259119512761,
-0.13722666092944308,
0.07140061515858158,
0.1380166631730042,
0.03136945107028... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 15 |
7c460bc18626c899079572daae6e6ba8 | 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": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"sour... | {"states": [340, 372], "expectation_value": -6.138710696892868, "params": [[[1.0514000000000001, 0.0019], [0.0032, 0.7572], [1.0522, 0.0019], [0.616, 0.0007], [1.0541, 0.0019], [-0.0017000000000000001, 0.5959], [1.054, 0.002], [-0.0041, -0.6188], [0.0021000000000000003, -0.7431]], [[1.0487, 0.0019], [0.0031000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(8)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(5) + -1.5 * Z(8) + ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["010001011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(2.7364477056620293) q[0];
ry(2.8583729188912814) q[0];
rz(-0.40878980342755256) q[0];
rz(2.421538330715597) q[1];
ry(0.007068477743285315) q[1];
rz(-0.7714707368213896) q[1];
rz(-2.4752191275255413) q[2];
ry(2.823101435804918) q[2];
rz(0.7911321136341583) 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": []} | [
"IIIIIIIZZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"ZIIIIIIIZ",
"ZIIZIIIII",
"IIIIIZIZI",
"IIIZIZIII",
"ZIIIIZIII",
"IIZIIIIZI",
"IZIIIZIII",
"IZIIIIZII",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIZIIIII",
"ZIIIIIIII",
"IIIIIZIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIIIIZII",
"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,
-1.5,
-1,
-1.5,
-1.5,
-1.5,
0,
-0.5,
0,
0
] | 0.970466 | [
1.0049792171636693,
0.15047734349188882,
-0.1140989428746543,
0.7838397035561001,
1.1350145499052142,
0.8412572271535586,
0.09596768968685719,
0.991806803144401,
-0.07607281273787395,
0.4051511769226689,
1.0302500420343619,
0.024553451486869465,
-0.0653856345575219,
-0.7398830796134901,
... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 3 |
90688ea9c6b60209b27f6df8a67f5344 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 5, "source": ... | {"states": [0, 2047], "expectation_value": -15.283362904839809, "params": [[[-0.0025, -0.30660000000000004], [0.0045000000000000005, 0.0022], [0.0048000000000000004, 0.0019], [0.0066, 0.002], [0.005200000000000001, 0.002], [0.0031000000000000003, 0.0021000000000000003], [0.0055000000000000005, 0.002], [-0.0003000000000... | -0.25 * (Z(0) @ Z(5)) + -0.25 * (Z(9) @ Z(5)) + -1.25 * (Z(9) @ Z(0)) + 1.75 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(9)) + -0.25 * (Z(11) @ Z(9)) + -1.0 * (Z(11) @ Z(3)) + -0.5 * (Z(11) @ Z(1)) + -1.5 * (Z(10) @ Z(9)) + -1.25 * (Z(10) @ Z(3)) + -0.5 * (Z(4) @ Z(10)) + -0.5 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (... | 15 | 12 | 2 | {"smallest_eigenvalues": [-16.0, -16.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -15.0, "smallest_bitstrings": ["100000000000", "100000001000"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.03061416300391369) q[0];
ry(0.07988787218327183) q[1];
ry(-0.05194948079987243) q[2];
ry(0.08650319365085554) q[3];
ry(-0.020779093518338593) q[4];
ry(0.01677965761479234) q[5];
ry(-0.08917393842869804) q[6];
ry(0.11776271388432055) q[7];
ry(0.002925812712187871)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIZ",
"IIZIIIZIIIII",
"IIZIIIIIIIIZ",
"IIIIIIIIZIIZ",
"IIZIIIIIIIZI",
"ZIZIIIIIIIII",
"ZIIIIIIIZIII",
"ZIIIIIIIIIZI",
"IZZIIIIIIIII",
"IZIIIIIIZIII",
"IZIIIIIZIIII",
"IIIIIZZIIIII",
"IIIIIZIIIIZI",
"IIIZIIZIIIII",
"ZIIZIIIIIIII",
"IZIZIIIIIIII",
"IIZIZIIIIIII",
"IIIIZIIIZ... | [
-0.25,
-0.25,
-1.25,
1.75,
-2,
-0.25,
-1,
-0.5,
-1.5,
-1.25,
-0.5,
-0.5,
-0.75,
-0.75,
-0.25,
-0.75,
-1.5,
-0.25,
-1.5,
-0.75,
-1,
-0.25,
-0.25,
2.25,
-0.75,
-0.75,
0.5,
0,
-0.25,
0.25,
-1.75,
-0.25,
1.25
] | 0.970656 | [
-0.03061416300391369,
0.07988787218327183,
-0.05194948079987243,
0.08650319365085554,
-0.020779093518338593,
0.01677965761479234,
-0.08917393842869804,
0.11776271388432055,
0.002925812712187871,
-0.03980893950683152,
-0.10032090879240552,
2.0955467620177632,
-0.4254971127653191,
-0.0202874... | {
"n_parameters": 37,
"n_qubits": 12,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 45 |
12625ff7963f220cedd44f15c6035b49 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 1}, {"capacity": 4, "so... | {"states": [1010, 2042], "expectation_value": -18.95865574482283, "params": null, "bitstrings": ["1110000001101", "1100000000101"], "total_optimization_steps": 100, "probabilities": [0.09426666769276598, 0.5537970536213181], "optimization_time": 473.5482933521271} | -1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(8)) + 2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(8)) + 4.0 * (Z(4) @ Z(3)) + -1.0 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(3)) + -2.0 * (Z(9) @ Z(4)) + 1.0 * (Z(5) @ Z(6)) + 2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + -0.5 *... | 1 | 13 | 2 | {"smallest_eigenvalues": [-19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -18.75, "smallest_bitstrings": ["1110000010010", "1110000001101", "1110000001010", "1100100011010", "1100100011101", "1101000011010", "1101000011101", ... | 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];
cx q[6], q[5];
rz(0.0337115844172802) q[5];
cx q[6], q[5];
h q[7];
cx q[6], q[7];
rz(0.018414539975709646) q[7];
cx q[6], q[7];
cx q[5], q[7];
rz(-2.0778790141223) q[6];
rx(1.332290205529361) q[6];
rz(0.0337115844... | null | {"source": 0, "sink": 4} | {"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(0.4397) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = meas... | [
"IIIIZIIIIIZII",
"IIIIIIIIIZZII",
"IIIIZIIIIZIII",
"IIIIIIIIZIZII",
"IIIIZIIIZIIII",
"IIIIIIIIZZIII",
"IIIZIIIIIIZII",
"IIIZZIIIIIIII",
"IIIZIIIIIZIII",
"IIIZIIIIZIIII",
"IIIIIIZZIIIII",
"IIIIIZZIIIIII",
"IIIIIZIZIIIII",
"IIIIIIIIIIZIZ",
"IIIIZIIIIIIIZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIZII... | [
-1,
2,
-2,
2,
-2,
4,
-1,
1,
-2,
-2,
1,
2,
1,
0.5,
-0.5,
1,
1,
-0.5,
0.5,
-0.5,
1,
1,
-0.5,
0.25,
-0.5,
0.5,
-1,
-1,
0.5,
-0.5,
-0.5,
-1,
1,
-2,
-2,
1,
-1,
-1,
1,
-0.5,
0.5,
-1,
-1,
0.5,
-0.5,
-0.5,
0.5,
1,
2,
-2,
4,
... | 0.934646 | [
-0.017945495095570838,
0.018414539975709646,
-0.01256029963426791,
-0.822997322774261,
0.0337115844172802,
0.09403212308213957,
-0.049568322743649015,
-0.09733760106877386,
-2.0778790141223,
-0.6586234365540318,
1.117303174346778,
1.332290205529361,
0.16829227678709818,
-0.1470933503730152... | {
"n_parameters": 34,
"n_qubits": 13,
"optimal_eigenvalue": -19.75,
"target_ratio": 0.97,
"target_value": -19.1575
} | 500 |
882dd39c5db48ed25643d787db9c5a72 | 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": [207, 205], "expectation_value": -141.34489370633761, "params": [-0.0021000000000000003, 0.0395, -0.0024000000000000002, -1.1142, -0.0026000000000000003, -1.7921, 1.5464, 0.0029000000000000002, 2.9911000000000003, 0.003, 3.1462000000000003, 0.0105, -0.0027, 0.33630000000000004, 0.0032, -0.8853000000000001, 2... | 8.5 * (Z(3) @ Z(4)) + 8.5 * (Z(5) @ Z(4)) + 8.5 * (Z(5) @ Z(3)) + 8.5 * (Z(7) @ Z(4)) + 8.5 * (Z(9) @ Z(4)) + 8.5 * (Z(9) @ Z(7)) + 8.5 * (Z(10) @ Z(5)) + 8.5 * (Z(10) @ Z(9)) + 8.5 * (Z(8) @ Z(9)) + 8.5 * (Z(8) @ Z(10)) + 8.5 * (Z(2) @ Z(8)) + 8.5 * (Z(0) @ Z(11)) + 26.5 * Z(4) + 4.5 * Z(3) + 16.0 * Z(5) + 5.0 * Z(7) ... | 4 | 12 | 1 | {"smallest_eigenvalues": [-154.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -142.0, "smallest_bitstrings": ["111100110010"], "largest_eigenvalue": 243.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.08191390602585792) q[0];
rz(1.726877298854813) q[0];
rx(0.03666071667807452) q[1];
rz(0.2669288834426382) q[1];
rx(0.0789190885714009) q[2];
rz(-0.28054379800819884) q[2];
rx(1.1780235066825524) q[3];
rz(1.8028977811392082) q[3];
rx(3.0026230641687097) q[4];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIZIIZIIII",
"IIZIIIIZIIII",
"IIZIZIIIIIII",
"IZIIIIZIIIII",
"IZZIIIIIIIII",
"IIZZIIIIIIII",
"IZIZIIIIIIII",
"IIIZIIIIIZII",
"ZIIIIIIIIIIZ",
"IIIIIIIZIIII",
"IIIIIIIIZIII",
"IIIIIIZIIIII",
"IIIIZIIIIIII",
"IIZIIIIIIIII",
"IZIIIIIII... | [
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
26.5,
4.5,
16,
5,
27,
11.5,
18,
-4,
-2,
-8,
-13,
-13.5
] | 0.974548 | [
-0.08191390602585792,
0.1560809720599166,
0.03666071667807452,
-1.3038674433522586,
0.0789190885714009,
-1.8513401248030952,
1.1780235066825524,
0.2321014543443112,
3.0026230641687097,
-0.15981463508898547,
3.1204209199081965,
-0.1395901404381503,
0.1119404575224212,
0.31264154253539156,
... | {
"n_parameters": 34,
"n_qubits": 12,
"optimal_eigenvalue": -154,
"target_ratio": 0.97,
"target_value": -149.38
} | 8 |
833c89e8aca800e5707fb47ea63f9088 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [35, 46], "expectation_value": -0.5098890988888081, "params": [[-0.07060000000000001, -0.0729, -0.0747], [0.0761, 0.0758, 0.0752]], "bitstrings": ["011100", "010001"], "total_optimization_steps": 10, "probabilities": [0.0254126203526419, 0.026772722735765215], "optimization_time": 2.6670567989349365} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["010001"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(-0.06213685427517941) q[0];
rz(0.3900229257122323) q[0];
rx(-0.05273946885872852) q[1];
rz(0.8212831248228313) q[1];
rx(1.5337574379224534) q[2];
rz(0.18090279389762448) q[2];
rx(-0.062136854275179405) q[3];
rz(-0.7491475642969406) q[3];
rx(-0.062136854275179405) 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;
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[1], q[0... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIZI",
"ZIIIZI",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
0,
-1,
0,
0
] | 0.980175 | [
-0.062136854275179405,
0.5639668344247326,
-0.05273946885872852,
0.8212831248228313,
1.5337574379224534,
0.18090279389762448,
-0.7491475642969406,
0.5294660297481446,
-0.3478878174250011,
0.3529348580960014,
-0.022087508376134993,
-0.4435758830602262,
-0.5770407396054762,
-0.16077012495042... | {
"n_parameters": 24,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 6 |
cf37919d6a949ddf46d1ba52baad11a7 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [2, 3], "expectation_value": -25.006757304339256, "params": [[[0.0505, 0.2813], [0.1245, -0.26180000000000003], [0.40840000000000004, 0.0347], [0.0448, 0.2808], [0.0385, 0.28040000000000004], [0.6037, -0.0034000000000000002], [0.5945, 0.0023]], [[0.0478, -0.281], [0.126, -0.26180000000000003], [0.40690000000... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + 3... | 1 | 7 | 3 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.75, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.9710988307186401) q[0];
rz(-0.02891617297319593) q[0];
rx(0.01057020565881352) q[1];
rz(0.4201067776955153) q[1];
rx(0.17533459356932862) q[2];
rz(-0.2611102377168925) q[2];
rx(0.815311740040549) q[3];
rz(0.3185927358966159) q[3];
rx(0.02598770948038412) 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[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
2.75,
3,
3,
2.75,
3,
3,
2.75,
3,
-10,
-10.25,
-10,
-10.25,
-10.25,
-9.25,
-9.5
] | 0.971532 | [
0.97109883071864,
0.1852350393243934,
0.01057020565881352,
0.4201067776955153,
0.17533459356932862,
-0.2611102377168925,
0.815311740040549,
0.3185927358966159,
0.02598770948038412,
0.4488470663552064,
0.8538907870390587,
-0.06192037117045744,
0.6391143778249074,
0.6360541241011217,
0.103... | {
"n_parameters": 144,
"n_qubits": 13,
"optimal_eigenvalue": -4.4375,
"target_ratio": 0.97,
"target_value": -4.304375
} | 17 |
2a9ab16bb8bcea71e9f34a77597a5638 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 14, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 3}, {... | {"states": [120, 122], "expectation_value": -10.971525556646148, "params": null, "bitstrings": ["10000111", "10000101"], "total_optimization_steps": 100, "probabilities": [0.06949627212393182, 0.07974546248591978], "optimization_time": 200.42834782600403} | 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(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 163.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.21069830025586003) q[0];
rz(-0.44314380018304966) q[0];
rx(0.6758685682189609) q[1];
rz(-0.07231239329845751) q[1];
rx(0.5304567662709817) q[2];
rz(0.0524343513804677) q[2];
rx(-0.2764618131261993) q[3];
rz(0.21560061027038913) q[3];
rx(0.6842987872754291) q[4];
r... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(18.1327) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
21,
11.5,
7,
19.5,
17.5,
7,
19.5,
0.5
] | 0.970268 | [
-0.21069830025586003,
-0.2661478952017108,
0.6758685682189609,
-0.11332069058319576,
0.5304567662709817,
0.04323630987877809,
-0.27646181312619933,
0.1941591628277346,
0.684298787275429,
-0.08672849227055314,
0.5560224463447703,
0.3101181280349571,
0.13765148430319257,
0.27958925789989647,... | {
"n_parameters": 69,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 9 |
aeb9345fdefd7ae77e17ff9bcecf0be8 | 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": 7, "source": 0, "target": 2}, {"capacity": 4, "source": 1, "target": 4}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 2, "s... | {"states": [181, 183], "expectation_value": -4.716120892598623, "params": [[-0.12250000000000001], [0.12200000000000001]], "bitstrings": ["101001010", "101001000"], "total_optimization_steps": 20, "probabilities": [0.006237600333668948, 0.0072207427931280125], "optimization_time": 2.4626004695892334} | -1.75 * (Z(0) @ Z(2)) + -2.5 * (Z(1) @ Z(4)) + -2.5 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + 2.0 * (Z(8) @ Z(0)) + -1.25 * (Z(8) @ Z(1)) + -1.5 * (Z(8) @ Z(6)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(5)) + -1.25 * (Z(7) @ Z(8)) + -1.0 * (Z(3) @ Z(4)) + -2.25 * (Z(3) @ Z(5)) + -1.75 * (Z(3) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["101001000"], "largest_eigenvalue": 35.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-1.7767498740899225e-08) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[4], q[1];
rz(1.99880057801449e-08) q[1];
cx q[4], q[1];
cx q[4], q[3];
rz(2.226673035536148e-08) q[3];
cx q[4], q[3];
rz(-0.3590038508416318) q[4];
rx(1.57079631... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIZIIZI",
"IIIZIIZII",
"IIIZIIIZI",
"IIZIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"ZIZIIIIII",
"IZIIIIZII",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIZZIII",
"IIIZIZIII",
"ZIIIIZIII",
"IZIIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIZIIIIII",
"... | [
-1.75,
-2.5,
-2.5,
-1.5,
-0.5,
2,
-1.25,
-1.5,
-0.75,
-0.5,
-1.25,
-1,
-2.25,
-1.75,
-1,
0,
-0.25,
-0.5,
2.75,
-4.25,
1,
-3.75,
0,
5
] | 0.789407 | [
-1.7767498740899225e-8,
1.99880057801449e-8,
1.8662768521570872e-8,
-0.3590038508416319,
-3.1415927218760706,
-4.64036155458772e-8,
-1.3438423583108569e-8,
2.226673035536148e-8,
3.3252322475904153e-8,
1.5707963253013049,
-1.5707962755303213,
-1.570796386748137,
1.5707963833304923,
-1.57079... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -21,
"target_ratio": 0.97,
"target_value": -20.37
} | 351 |
df682e2d7fb98a289acacc6990a57f8a | 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": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "ta... | {"states": [203, 201], "expectation_value": -4.207902057084681, "params": [0.4066, -0.0007, 0.4096, 0.0009000000000000001, 0.4005, -0.009300000000000001, 0.4055, -0.0031000000000000003, 0.0541, -0.0663, 0.1587, 0.0007, 0.263, 0.0044, 0.2411, -0.0022, 0.4021, -0.0026000000000000003, 0.40590000000000004, -0.0015, 0.3143,... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -2.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(1) + -0.5 * Z(6) + -1.0 * Z(3) + -1.0 * Z(... | 6 | 8 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.5, "smallest_bitstrings": ["00101011", "01110100", "01101001", "00110110"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(2.445720676686468) q[0];
rz(1.5263114070686328) q[0];
rx(2.945582019725923) q[1];
rz(1.6783932800626928) q[1];
rx(-0.02813568012905506) q[2];
rz(1.0390270381851803) q[2];
rx(3.091366618444274) q[3];
rz(1.4065985294702834) q[3];
rx(2.4099841861882694) q[4];
rz(1.52631... | 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",
"IIIIIZZI",
"IZIIIZII",
"IZIIIIZI",
"IIIIZZII",
"IIZIIZII",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"IIIZZIII",
"IIZZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IZIIIIII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
0,
-0.5,
-0.5,
-1,
-1,
-1,
-0.5
] | 0.973531 | [
2.445720676686468,
-0.0444849197262633,
2.945582019725923,
0.10759695326779606,
-0.028135680129055065,
-0.5317692886097165,
3.091366618444274,
-0.16419779732461362,
2.4099841861882694,
2.8300434189195816,
-0.36560528890921673,
0.33893875117475386,
-1.0140373571207086,
0.0874473351417775,
... | {
"n_parameters": 21,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 13 |
-4396407114571332043 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 7], [1, 6], [4, 5], [0, 1, 2], [2, 5], [2, 3, 4], [0, 1, 3], [4, 6], [1, 4], [0, 6, 7], [0, 5], [3, 6], [2, 6], [2, 7], [0, 3, 4]]} | {"states": [170, 184], "expectation_value": -0.21531488583092384, "params": [[-0.0884], [0.08170000000000001]], "bitstrings": ["01010101", "01000111"], "total_optimization_steps": 10, "probabilities": [0.004768130054145144, 0.004818900314639883], "optimization_time": 0.8375616073608398} | 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.3333333333333333 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.3333333333333333 * (Z(4) @... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.500000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.833333333333335, "smallest_bitstrings": ["01000111"], "largest_eigenvalue": 10.5} | 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(-0.5087410280765183) q[0];
cx q[3], q[0];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[7];
rz(0.18123320158103587) q[7];
cx q[3], q[7];
cx q[0], q[7];
cx q[3], q[1];
rz(0.18123320158103587) q[1];
cx q[3], q[1];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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[3], q[7]... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIIIIZZ",
"IZIIZIII",
"IZIIIIIZ",
"ZZIIIIII",
"IZIIIIZI",
"IIIZZIII",
"IIIZIIIZ",
"IIIZIIZI",
"IZIZIIII",
"IIZIIIIZ",
"IIZZIIII",
"IIIIZZII",
"IIIIIZIZ",
"ZIIIIZII",
"IIIIIZZI",
"IZIIIZII",
"IIIZIZII",
"IIZIIZII",
"IIIIZII... | [
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.1... | 0.507107 | [
-0.5087410280765183,
0.18123320158103587,
-0.3306124041136188,
-0.7406462845369833,
-0.7986240772426642,
0.5525680039069731,
0.8651512196885246
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -4.500000000000001,
"target_ratio": 0.97,
"target_value": -4.365000000000001
} | 183 |
b5518f36afa4dbdb0f95543c602afa47 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 1, "source": 2, "target": 3}, {"weight": 18, "source": 2, "target": 6}, {"weight": 17, "source": 2, "targ... | {"states": [46, 110], "expectation_value": -46.25246495705056, "params": null, "bitstrings": ["111010001", "110010001"], "total_optimization_steps": 100, "probabilities": [0.151383096211798, 0.23478932273981884], "optimization_time": 208.56891012191772} | 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-97.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["110010001"], "largest_eigenvalue": 194.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-1.286325205538855) q[0];
ry(0.1953118769536368) q[0];
rz(-2.3052829769044867) q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.04979024122263945) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(0.04979024122263945) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.04979024122263945)... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-7.2777) 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] = ... | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIZII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"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,
4.5,
17.5,
0.5,
22.5,
11.5,
21,
21,
11,
9.5,
-7.5
] | 0.970367 | [
0.04979024122263945,
-1.2395641058626865,
1.6072661776984662,
-1.2975643784720312,
0.8841029895329524,
-1.446418733116507,
-1.4355238644249626,
1.3859267980444265,
1.189824641938442,
1.5301831548502773,
0.2543065660981385,
1.5984645142055647,
-1.0908269470905945,
1.456728143422818,
0.875... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -97,
"target_ratio": 0.97,
"target_value": -94.09
} | 65 |
d1e337a2e105918e8c64bf021321a2d3 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 6}, {"source": 5, "target": 6}]} | {"states": [0, 60], "expectation_value": -7.768527152817817, "params": [0.47340000000000004, 0.32380000000000003, 0.227, 0.20600000000000002, 0.48350000000000004, 0.4494, 0.3386, 0.6681, 0.5317000000000001, 0.9289000000000001, 0.3416, 1.1269, 0.4736, 0.8309000000000001, 0.4237, 1.1395, 0.4516, 0.463, 0.3959000000000000... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + -1.0 * Z(5) + -1.0 * Z(4) | 6 | 6 | 3 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["000011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.1250101749676743) q[0];
h q[1];
ry(0.20959771976513494) q[1];
h q[2];
ry(1.7180141321038174) q[2];
h q[3];
cx q[3], q[1];
ry(-0.20959771976513494) q[1];
cx q[3], q[1];
cx q[1], q[0];
ry(-0.1250101749676743) q[0];
cx q[1], q[0];
ry(1.5837809674018735) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IIIZZI",
"IIIZIZ",
"IIZZII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IIIZII",
"ZIIIII",
"IZIIII"
] | [
-2,
-2,
-1.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.970501 | [
0.4191954395302699,
0.2500203499353486,
3.167561934803747,
0.39601762078621333,
3.4360282642076347,
-1.431777043166703,
-1.0726156679952932,
2.4472778962911232,
-1.7140095510696993,
-1.1779722872815033,
-0.19288942722124652,
-0.9021325308104403,
2.0540666932332177,
0.13607092260007048,
-... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 108 |
ebed2b2f1ddd19051c3f8f1e6db408b8 | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": []} | {"states": [411, 413], "expectation_value": -5.710684425785296, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741881, 0.8578073217068284], "optimization_time": 117.4541916847229} | 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)) + 0.5 * (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)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-2.815869706397565) q[0];
rz(-0.10266699916250133) q[0];
rx(2.938411203352395) q[1];
rz(-0.359908355829058) q[1];
rx(-0.027903752025837614) q[2];
rz(0.2181567296090501) q[2];
rx(3.0078051915562813) q[3];
rz(0.18559254664400454) q[3];
rx(0.33346172350010733) q[4];
rz(... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": []}} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[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... | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.97428 | [
3.467315600782021,
-0.08758761771970738,
2.938411203352395,
-0.359908355829058,
-0.027903752025837614,
0.2181567296090501,
3.0078051915562813,
0.18559254664400454,
0.33346172350010733,
0.007502932029881421,
3.1040264026485866,
0.08178816583284416,
0.10051399472175349,
-0.3883946671857684,
... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 19 |
2a895515d0a8eaf1b57b7d486fef5b85 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [17, 3], "expectation_value": -5.069158825492042, "params": [[0.053200000000000004], [-0.044700000000000004]], "bitstrings": ["1101110", "1111100"], "total_optimization_steps": 10, "probabilities": [0.01004148114529492, 0.010237088959945616], "optimization_time": 2.857025384902954} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + 2... | 18 | 7 | 1 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-2.096327820170651) q[0];
ry(0.2537083493680447) q[0];
rz(1.570436671091425) q[0];
rz(1.191244473143085) q[1];
ry(0.2008107508654874) q[1];
rz(-1.6963430441543206) q[1];
rz(-1.9118469528459408) q[2];
ry(0.1477573005102168) q[2];
rz(1.5833415908168567) q[2];
rz(2.2786... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2]... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
2.75,
2.75,
3,
2.75,
2.75,
3,
3,
3,
-10,
-10.25,
-10.25,
-10.25,
-10.25,
-9.5,
-9.5
] | 0.972257 | [
-0.08028563510993815,
-0.21555986132396174,
0.078732077463361,
-0.21601939328285985,
-0.010214764130119527,
-0.03172665130023722,
0.30548255601708946,
0.07708210515096893,
0.3715827281252511,
0.6916802821102456,
0.19367370790422986,
0.9804975452195692,
-0.10497639850611308,
0.0456723136684... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 8 |
9d0fda9991561362ccfc12e66c38b9f5 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 20, "source": 1, "target": 5}, {"weight": 15, "source": 1, "target": 3}, {"weight": 12, "source": 1, "target": 2}, {"weight": 1... | {"states": [190, 122], "expectation_value": -29.721205993589127, "params": [[0.0268, -0.0027, 0.0002, 0.0024000000000000002], [-0.0634, -0.046400000000000004, -0.0396, -0.0285]], "bitstrings": ["01000001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.010907545227189362, 0.013475219527477045], "optim... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(4)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(2) @ Z(4)) + 3.5 * (Z(2) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-80.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 182.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.05915602651802649) q[0];
rz(-0.15469163530750052) q[0];
rx(3.4191362901712914) q[1];
rz(0.45246714787639103) q[1];
rx(0.17983961904902268) q[2];
rz(-0.05096309531274679) q[2];
rx(3.0050058723652) q[3];
rz(1.0763901855253808) q[3];
rx(3.085973281590634) q[4];
rz(0.... | 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",
"IIIZIIZI",
"IIIZIIIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZZIII",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIZII",
"IIIIZZII",
"IIZIIIZI",
"IIZIIZII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIIIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIZIII",
"IIIIIZI... | [
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,
3.5,
3.5,
20,
10.5,
20.5,
23,
18,
6,
15,
6.5
] | 0.971457 | [
-0.05915602651802648,
-0.1292100876511263,
3.4191362901712914,
0.45246714787639103,
0.17983961904902268,
-0.05096309531274679,
3.0050058723652,
1.0763901855253808,
3.085973281590634,
0.20126058805128294,
3.3609533359992207,
0.3973179116121901,
0.08371651178469919,
-0.042244168201899246,
... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 21 |
6be29fcf64186db29d8d06f08ec325c6 | 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": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [192, 204], "expectation_value": -1.53162684953539, "params": [[[0.39480000000000004, -0.0531, 0.009600000000000001, 0.0077], [0.24750000000000003, 0.11460000000000001, 0.396, 0.1453], [0.0762, 0.0089, 0.0173, -0.08750000000000001], [0.0519, -0.0534, 0.23900000000000002, -0.2223], [0.384, 0.0626, 0.259300000... | 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(3)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1) @ Z(6)) ... | 11 | 8 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.25, "smallest_bitstrings": ["10100110", "00110110", "00110011", "01110001", "00111001", "10101001"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-2.9437113529898604) q[0];
rz(0.0016260709049866762) q[0];
rx(3.4296792862449417) q[1];
rz(1.1913011004301606) q[1];
cx q[1], q[0];
rz(0.015086233168601998) q[0];
cx q[1], q[0];
rz(0.32191463907376133) q[1];
rx(0.03189089480925868) q[2];
rz(-0.5027947031620799) q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIIZIIZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIZZZIII",
"IIIZIIZI",
"IZIIIIZI",
"IZIZIIII",
"IZIZIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
-0.25,
0,
-0.75,
-0.25,
0,
-0.25,
-0.25,
-0.5
] | 0.982417 | [
3.3394739541897263,
0.016712304073588924,
3.4296792862449417,
1.1913011004301606,
0.03189089480925867,
-0.23698160238807575,
-0.18382111424629338,
0.4138953982696465,
-0.19167456282803633,
-0.2771815042292091,
3.0282028227869757,
-0.1250923824193959,
3.2096010362394285,
-0.4837302848461374... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 20 |
a13dff7348d1aef0dcc3ad8789289a06 | 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": 4}, {"capacity": 2, "source": 1, "target": 10}, {"capacity": 2, "source": 2, "target"... | {"states": [1024, 1023], "expectation_value": -18.310324731576202, "params": [[[-0.0002, 0.0056], [0.0083, 0.0014], [0.0048000000000000004, 0.0023], [0.0063, 0.0023], [0.0106, 0.0023], [-0.0018000000000000002, 0.0023], [-0.0015, -0.0026000000000000003], [0.0092, 0.002], [0.0076, 0.0027], [-0.001, 0.0047], [1.7295, -0.0... | -0.75 * (Z(0) @ Z(5)) + 1.0 * (Z(2) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -1.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(3)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(4)) + -1.25 * (Z(8) @ Z(5)) + -0.75 * (Z(8) @ Z(2)) + -0.5 * (Z(8) @ Z(3)) + -1.25 * (Z(8) @ Z(6)) + -0.5 * (Z(7) @ Z... | 15 | 11 | 2 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.0005118964127247029) q[0];
ry(0.020832461753343554) q[1];
ry(-0.15084080634810818) q[2];
ry(-0.005914124102809561) q[3];
ry(0.08788656706504139) q[4];
ry(-0.13638530737852694) q[5];
ry(0.012624525448915836) q[6];
ry(0.14201889757566308) q[7];
ry(-0.086113881884752... | 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": []} | [
"IIIIIZIIIIZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIZIZIII",
"IIIIIIIZIZI",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIZIIIZII",
"IIIIZIZIIII",
"IIZIIZIIIII",
"IIZIIIIIZII",
"IIZIIIIZIII",
"IIZIZIIIIII",
"IIIZIZIIIII",
"IIIZIIIZIII",
"IIZZIIIIIII",
"IZIIIZIIIII",
"IZIIIIIIZII",
"IZIIIIIZI... | [
-0.75,
1,
-0.5,
-1.5,
-0.5,
-0.75,
-1,
-0.75,
-1,
-1.25,
-0.75,
-0.5,
-1.25,
-0.5,
-0.5,
-0.75,
-0.5,
-0.25,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
-0.25,
-0.75,
-0.75,
-0.25,
-1,
-1.5,
-0.25,
-2.25,
0,
-2.5,
-0.25,
0.25,
1.25,
-0.5,
3.75,
2
] | 0.970501 | [
0.0005118964127247029,
0.020832461753343554,
-0.15084080634810818,
-0.005914124102809561,
0.08788656706504139,
-0.13638530737852694,
0.012624525448915836,
0.14201889757566308,
-0.08611388188475289,
-0.1662125863968123,
1.9161569600350001,
0.007633695261448759,
0.04167722238999298,
0.006559... | {
"n_parameters": 36,
"n_qubits": 11,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 45 |
b2987b745cb916df3f5a63553d1bb231 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 4... | {"states": [1428, 1492], "expectation_value": -7.396049882584585, "params": [[[0.8895000000000001, -0.0033, 0.006, 0.0026000000000000003], [0.7607, 0.015700000000000002, 0.8748, 0.0167], [0.2461, 0.2616, 0.1691, -0.3136], [0.031, -0.20520000000000002, -0.0412, 0.6996], [0.5014000000000001, -0.5146000000000001, 0.286000... | 1.0 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -1.0 * (Z(10) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(10)) + 0.5 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2... | 11 | 11 | 4 | {"smallest_eigenvalues": [-8.666666666666668, -8.666666666666668, -8.666666666666668, -8.666666666666668], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.666666666666666, "smallest_bitstrings": ["01000101011", "01000100111", "10000100111", "10000101011"], "largest_eigenvalue": 22.333333333333332} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(-0.42489732038415) q[0];
h q[1];
cx q[1], q[0];
ry(0.42489732038415) q[0];
cx q[1], q[0];
ry(-0.181574895014258) q[0];
ry(0.22365458351727543) q[1];
h q[2];
h q[3];
ry(1.5129755350558685) q[3];
h q[4];
ry(1.5129755350558685) q[4];
h q[5];
ry(-0.6828907176516... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIIIZIZIII",
"IIIIIZIIIIZ",
"IIIIIZIIIZI",
"IIIIIIIIIZZ",
"ZIIIZIIIIII",
"IIIZZIIIIII",
"ZIIZIIIIIII",
"IIZIZIIIIII",
"ZIZIIIIIIII",
"IIZZIIIIIII",
"IIIIIIZIZII",
"IIIIIIIZZII",
"IIIIIZIIZII",
"IZIIIIZIIII",
"IZIIIIIZIII",
"IZIIIZIIIII",
"IZIIZIIII... | [
1,
0.5,
0.5,
-0.5,
-0.5,
0.33333333333333337,
-1,
0.5,
-0.5,
0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
2.5,
2.5,
1,
0.16666666666666674,
0.16666666666666674,
1.5,
-1.5,
1,
1,
1.3333333333333335,
-1
] | 0.975182 | [
1.5129755350558685,
1.2940641662349193,
-1.4434681259045128,
-1.365781435303222,
-1.0381781223982296,
-0.9460806634509542,
-1.3563210276497097,
0.4232448186560208,
-0.8497946407683,
0.6077418778647552,
-0.5785294489967114,
0.7760594618815354,
-0.017943551017564507,
-0.363149790028516,
-0... | {
"n_parameters": 52,
"n_qubits": 11,
"optimal_eigenvalue": -8.666666666666668,
"target_ratio": 0.97,
"target_value": -8.406666666666668
} | 1 |
090005524f806d159c59e0ceeba589fb | 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": 3}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [50, 51], "expectation_value": -8.166778301496198, "params": [0.48040000000000005, 0.0098, -0.0021000000000000003, 0.0076, 0.0015, 0.0061, 1.7137, 0.0024000000000000002, 1.7033, 0.0085, -0.0015, 0.0037, -0.003, 0.0092, 1.7005000000000001, 0.0048000000000000004, 1.6374000000000002, 0.006500000000000001, 0.001... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["111001100"], "largest_eigenvalue": 27.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.037344043768149274) q[0];
rz(-0.20741720629339788) q[0];
rx(0.06098545301462585) q[1];
rz(-0.1194913736085863) q[1];
rx(0.15066706149358433) q[2];
rz(-0.15017567993710657) q[2];
rx(2.9437327858930695) q[3];
rz(0.2993250372910876) q[3];
rx(2.739583254755162) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"ZIIIIIZII",
"ZIIIIIIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"ZIIIIIIZI",
"IIIIZIZII",
"IIIIZIIZI",
"IIIZIIZII",
"ZIIZIIIII",
"IIIZIIIZI",
"IIIZZIIII",
"IIZIIIZII",
"ZIZIIIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IZIIIIIZI",
"IZIZIIIII",
"IZZIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-3,
-1,
-1,
-2,
-3,
-1.5,
-2,
-2,
-1
] | 0.982191 | [
0.03734404376814928,
-0.14904939837533504,
0.060985453014625844,
-0.028281462538373214,
0.15066706149358433,
0.0006591994404538393,
2.9437327858930695,
0.4790872361970372,
2.739583254755162,
-0.1761378118136923,
-0.14026254019787737,
-0.13434239985216934,
-0.0992553982805651,
-0.1553266649... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 14 |
e8fdec38f32f10530d269f6547919d57 | 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": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [9, 26], "expectation_value": -1.2480078738348195, "params": [[0.07540000000000001, 0.0775, 0.0723, 0.0763], [-0.06760000000000001, -0.0708, -0.0596, -0.0601]], "bitstrings": ["110110", "100101"], "total_optimization_steps": 10, "probabilities": [0.03227770494421979, 0.03625594477800361], "optimization_time"... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -1.5 * Z(5) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100101"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.17949889982137707) q[0];
h q[1];
ry(-0.14797600783105308) q[1];
h q[2];
ry(1.6432224921298026) q[2];
h q[3];
cx q[3], q[0];
ry(0.17949889982137707) q[0];
cx q[3], q[0];
ry(0.8547520083356644) q[0];
h q[4];
cx q[4], q[1];
ry(0.14797600783105308) q[1];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"ZIIIZI",
"ZIIIIZ",
"IIZZII",
"ZIZIII",
"ZZIIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-1.5,
-1,
-0.5
] | 0.972171 | [
-0.29595201566210616,
-0.35899779964275413,
1.6432224921298026,
0.9033872731020592,
-0.4118355892285082,
0.7485108173051358,
-0.3753867049038224,
-0.10690644632358749,
0.32912167940678394,
-0.21107854551076083,
0.6268900816335382,
-0.009865066915267423,
0.06148966405270589,
0.2832723267589... | {
"n_parameters": 55,
"n_qubits": 8,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 50 |
-3005348631704612420 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 9, 5, 0], [0, 1, 5, 7, 8], [0, 2, 3, 5, 6, 7, 8], [0, 1, 2, 3, 4, 5], [1, 4, 6, 7], [0, 1, 2, 3, 4, 7, 8, 9], [2, 3, 4, 5, 7, 8, 9], [1, 3, 4, 6], [1, 2, 3, 5, 6, 7]]} | {"states": [765, 637], "expectation_value": -1.7722862872029572, "params": [1.7709000000000001, 0.0436, 1.296, 0.007500000000000001, 0.9172, 0.6576000000000001, 0.8432000000000001, 0.0031000000000000003, 1.0964, -0.20220000000000002, 0.6805, 0.0063, 1.7555, -0.0708, 1.2965, 0.0047, 1.7757, -0.1061, 1.2989000000000002, ... | 0.125 * (Z(8) @ Z(9)) + 0.10714285714285714 * (Z(5) @ Z(9)) + 0.18095238095238095 * (Z(5) @ Z(8)) + 0.10119047619047619 * (Z(0) @ Z(9)) + 0.175 * (Z(0) @ Z(8)) + 0.19047619047619047 * (Z(0) @ Z(5)) + 0.017857142857142856 * (Z(1) @ Z(9)) + 0.06785714285714287 * (Z(1) @ Z(8)) + 0.11666666666666667 * (Z(1) @ Z(5)) + 0.101... | 5 | 10 | 1 | {"smallest_eigenvalues": [-1.8916666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8440476190476187, "smallest_bitstrings": ["0110000010"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(2.1926867309097733) q[0];
rz(-0.20036500561135595) q[0];
rx(0.63631036197598) q[1];
rz(1.3543676808288634) q[1];
rx(0.4380629688184643) q[2];
rz(-0.5965259645429177) q[2];
rx(1.6198185706960455) q[3];
rz(-0.3695264004216514) q[3];
rx(1.892050683213952) q[4];
rz(0.11... | 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": []} | [
"ZZIIIIIIII",
"ZIIIZIIIII",
"IZIIZIIIII",
"ZIIIIIIIIZ",
"IZIIIIIIIZ",
"IIIIZIIIIZ",
"ZIIIIIIIZI",
"IZIIIIIIZI",
"IIIIZIIIZI",
"IIIIIIIIZZ",
"ZIZIIIIIII",
"IZZIIIIIII",
"IIZIZIIIII",
"IIZIIIIIIZ",
"IIZIIIIIZI",
"ZIIIIIIZII",
"IZIIIIIZII",
"IIIIZIIZII",
"IIIIIIIZIZ",
"IIIIIIIZZI"... | [
0.125,
0.10714285714285714,
0.18095238095238095,
0.10119047619047619,
0.175,
0.19047619047619047,
0.017857142857142856,
0.06785714285714287,
0.11666666666666667,
0.10119047619047619,
0.041666666666666664,
0.11547619047619048,
0.13095238095238096,
0.09166666666666667,
0.1845238095238095,
... | 0.971942 | [
2.1926867309097733,
-0.17484790663188354,
0.6363103619759799,
1.177203240119181,
0.43806296881846424,
-0.3679025898992429,
1.6198185706960455,
-0.38430188687067995,
1.8920506832139523,
0.12203318893653639,
2.2665977060490095,
-0.04974821156143848,
1.8039415539297754,
-0.14652047758871492,
... | {
"n_parameters": 49,
"n_qubits": 10,
"optimal_eigenvalue": -1.8916666666666666,
"target_ratio": 0.97,
"target_value": -1.8349166666666665
} | 57 |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 3}, {"source": ... | {"states": [56, 7], "expectation_value": -1.921343640288522, "params": [[-0.07830000000000001], [0.0756]], "bitstrings": ["000111", "111000"], "total_optimization_steps": 10, "probabilities": [0.020919396163999543, 0.021308250698260752], "optimization_time": 2.7692787647247314} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 16 | 6 | 1 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.8473521450627363) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.8473521450627363) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.042967194764701365) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(-0.8473521450627363) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2]... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
2,
2,
1.75,
2,
1.75,
2,
2,
1.75,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.505615 | [
-0.8473521450627363,
-0.042967194764701365,
0.0646286253227127,
0.4276632086634684,
0.7850932252334482
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 131 |
87ba346715d7ffd469182fcb7e9830c2 | 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": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6... | {"states": [19, 17], "expectation_value": -16.023942414274988, "params": null, "bitstrings": ["1101100", "1101110"], "total_optimization_steps": 38, "probabilities": [0.42315890257289124, 0.5338802164598142], "optimization_time": 34.126993894577026} | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -2.75 * Z(1) + -0.25 * Z(0) + 4.0 * Z(2) + 1.75 * Z(4) + 0.5 * Z(6) + -1.75 * Z(3) + -1... | 1 | 7 | 2 | {"smallest_eigenvalues": [-16.5, -16.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.5, "smallest_bitstrings": ["1101110", "1101100"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.2424713024680878) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.09609449461972433) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.07103718221836942) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.2424713024680878) q[4];
cx ... | 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(1.2796) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIIZ",
"ZIIIZII",
"IIIZIZI",
"IIZZIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
-1,
-1.25,
-0.5,
-1,
-0.5,
2.25,
-1.75,
-2.5,
-1.75,
-1.5,
-2.75,
-0.25,
4,
1.75,
0.5,
-1.75,
-1.5
] | 0.970277 | [
-0.2424713024680878,
-0.09609449461972433,
-0.07103718221836942,
0.24484176276753844,
-0.5846079027452293,
-0.03545717743987341,
-0.13831910799219202,
-0.24427600165074528,
-0.4294993140104167,
0.03986173338969032,
-0.32853968363508496,
0.40842551468782123,
-0.9636115791438007,
0.066113856... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 83 |
87c3ced1ef7832360d99a2d1828a4d93 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [4, 12], "expectation_value": -3.546055991576769, "params": [[[0.0545, -0.13140000000000002], [-0.011300000000000001, -0.20040000000000002], [0.4062, 0.0015], [0.4068, 0.0007], [0.049100000000000005, -0.1451], [0.0819, -0.099]], [[0.0575, -0.1308], [-0.0151, -0.2], [0.40230000000000005, 0.0014], [0.407000000... | 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(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)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["111010", "011011", "110101", "110011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.4782477501473996) q[0];
h q[1];
ry(-1.5459535955314039) q[1];
h q[2];
ry(1.4800481485142103) q[2];
h q[3];
h q[4];
ry(-0.5454937758325291) q[4];
cx q[3], q[4];
ry(0.5454937758325291) q[4];
cx q[3], q[4];
ry(1.138506081996272) q[3];
cx q[2], q[3];
ry(-0.287... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"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,
-2,
-1.5,
-1,
-1.5,
-1.5,
-0.5
] | 0.996543 | [
-1.5459535955314039,
-1.4782477501473996,
-1.4186720615587136,
1.4800481485142103,
-1.0909875516650582,
0.8505079669655212,
-0.6834200403916963,
0.5759962300615015,
-0.4282561884336213,
-0.15321027442284385,
0.11168667375280134,
-0.09145484919133856,
-0.015716916398529537
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
96ccbb83c354723a5662bdaecab6064e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target":... | {"states": [0, 256], "expectation_value": -7.280512574980536, "params": [-0.2546, 0.0145, -0.0906, -0.0025, 0.0039000000000000003, 0.2652, 0.0011, 0.29660000000000003, 0.39990000000000003, -0.0008, 0.403, -0.0004, -0.0004, 0.3118, 0.0055000000000000005, 0.3106, -0.0013000000000000002, 0.2569, 0.0051, 0.2987, -0.0012000... | -0.25 * (Z(0) @ Z(6)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -0.25 * (Z(7) @ Z(5)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(7)) + -1.0 * (Z(8) @ Z(3)) + -0.25 * (Z(9) @ Z(5)) + -0.25 * (Z(9) @ Z(7)) + -0.25 * (Z(9) @ Z(3)) + -0.5 * (Z(9) @ Z(8)) + -0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 6 | 11 | 2 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -6.75, "smallest_bitstrings": ["11000111011", "11011111111", "10000010010", "10000010000", "10000000000", "11001111011", "10000000010"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.27985219664412264) q[0];
rz(1.6291265835799713) q[0];
rx(-0.09400613384857336) q[1];
rz(1.8110365940614255) q[1];
rx(0.6662907258084031) q[2];
rz(1.4820366190851733) q[2];
rx(0.049214215643218345) q[3];
rz(1.7188151892419539) q[3];
rx(-0.00825875212422629) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZ",
"IIIIZZIIIII",
"IIIIIZIIIZI",
"IIIZIZIIIII",
"IIIZIIIZIII",
"IIZIZIIIIII",
"IIZZIIIIIII",
"IIZIIIIZIII",
"IZIIIZIIIII",
"IZIZIIIIIII",
"IZIIIIIZIII",
"IZZIIIIIIII",
"IIIIIZZIIII",
"IIZIIIZIIII",
"ZIIIIZIIIII",
"ZIIIIIIIIZI",
"ZIIZIIIIIII",
"IIIIZIIIZII",
"IIIIIIIIZ... | [
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-1,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
0.5,
-1,
-0.25,
0.75,
0,
-0.25,
0.75,
1.5,
-1.25,
0,
-0.5,
0.25
] | 0.970666 | [
-0.27985219664412264,
0.05833025678507432,
-0.09400613384857336,
0.24024026726652897,
0.6662907258084031,
-0.08875970770972264,
0.049214215643218345,
0.1480188624470576,
-0.00825875212422629,
0.48268693537467744,
0.02204389868270948,
0.21747544766577043,
0.03723307556537641,
0.226134580308... | {
"n_parameters": 87,
"n_qubits": 11,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 9 |
7bc4dde9a09d0b94c5097b219891d81a | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 2}]} | {"states": [0, 9], "expectation_value": -2.2499055589377397, "params": null, "bitstrings": ["1111", "0110"], "total_optimization_steps": 12, "probabilities": [1.730029747643551e-05, 0.9999393551708786], "optimization_time": 5.731884956359863} | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.25 * Z(3) + -0.75 * Z(2) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["0110"], "largest_eigenvalue": 3.75} | 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.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5486) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IIZZ",
"ZIIZ",
"IZIZ",
"ZZII",
"ZZIZ",
"ZIZI",
"IIIZ",
"IIZI",
"ZIII",
"IZII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
-0.5,
-0.25,
-0.75
] | 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 |
b4844a241e7c75ea7eb690acd3c4c004 | hamiltonian_path | vqe | {"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": -0.999822148185713, "params": [0.0007, 0.0824, -0.0015, 0.0921, -0.006500000000000001, 0.0883, -0.007, 0.09680000000000001, 0.0006000000000000001, 0.09620000000000001, 0.0027, 0.0859, -0.0024000000000000002, 0.0713, -0.0058000000000000005, 0.0064, 0.0014, 0.0094, 0.00520000000000... | -1.0 * Z(0) | 5 | 1 | 4 | {"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;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"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 |
d1602a48db0b9ddd29f550e6862bbc0a | 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": 10, "source": 0, "... | {"states": [229, 117], "expectation_value": -32.58508503524043, "params": [[-0.0386, -0.0026000000000000003, 0.005200000000000001, -0.0006000000000000001], [0.08080000000000001, 0.069, 0.055, 0.0502]], "bitstrings": ["00011010", "10001010"], "total_optimization_steps": 10, "probabilities": [0.019535085204585134, 0.0233... | 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 9.5 * Z(0) + 22.5 * Z(3) + 15.0 * ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-68.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10001010"], "largest_eigenvalue": 157.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.01988959587459258) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(0.01988959587459258) q[1];
cx q[0], q[1];
cx q[0], q[2];
rz(0.01988959587459258) q[2];
cx q[0], q[2];
rz(1.5705949267290302) q[0];
rx(1.5737961387934527) 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_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIIIIZZ",
"IIIIZIZI",
"IIIIIZIZ",
"IIIIZZII",
"IIIIIZZI",
"IIZIZIII",
"IIIZIIZI",
"IIZZIIII",
"IZIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"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,
4.5,
9.5,
22.5,
15,
16.5,
13,
4.5,
3.5,
14.5
] | 0.93496 | [
0.01988959587459258,
1.5705949267290302,
-1.5706474594478201,
-1.5706950642609576,
-1.5707313852024845,
-1.5705995674318687,
1.5706986676279677,
-1.570715889237666,
1.5737961387934527
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -68.5,
"target_ratio": 0.97,
"target_value": -66.445
} | 230 |
d28a325d7efce07d7a6fc9416e839afe | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [1582, 1598], "expectation_value": -4.004121376355427, "params": [1.4054, 1.4064, 1.4012, 1.3999000000000001, -0.0221, -0.017400000000000002, 0.0031000000000000003, 0.0031000000000000003, 0.3855, 0.3916, 1.4021000000000001, 1.4012, 0.7865000000000001, 0.785, 1.3956000000000002, 1.3988, 1.4075, 1.4052, 1.4060... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.25 * (Z(4) @ Z(8)) + 0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(4) @ Z(7) @ Z(8)) + 0.125 * (Z(0) @ Z(3)... | 13 | 11 | 1 | {"smallest_eigenvalues": [-4.9375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9375, "smallest_bitstrings": ["00111000001"], "largest_eigenvalue": 7.0625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.5479079855014393) q[0];
rz(0.5035735673227758) q[0];
ry(1.6754383344041013) q[1];
ry(-0.07526868962793229) q[2];
ry(-0.049409555341843575) q[3];
ry(-0.012616576608644136) q[4];
ry(1.30134192222558) q[5];
ry(1.138767080596097) q[6];
ry(1.5089843134087977) q[7];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIZZZIIII",
"IIIZIIZIIII",
"IIZIIIZIIII",
"IIZZIIIIIII",
"IIZZIIZIIII",
"IIIIIIIZIIZ",
"IIIZIIIIIIZ",
"IZIIIIIIIIZ",
"IIIZIIIZIII",
"IZIIIIIZIII",
"IZIZIIIIIII",
"IIIZIIIZI... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.... | 0.972914 | [
1.5479079855014393,
1.6754383344041013,
-0.07526868962793229,
-0.049409555341843575,
-0.012616576608644136,
1.30134192222558,
1.138767080596097,
1.5089843134087977,
1.4506521689328313,
1.6399635788417017,
-0.03275620826835188,
1.0071471346455516,
0.06742165297892495,
0.07763035571664387,
... | {
"n_parameters": 39,
"n_qubits": 11,
"optimal_eigenvalue": -4.9375,
"target_ratio": 0.97,
"target_value": -4.789375
} | 9 |
216fa3ac5e9f09e597390a38dc3f522d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, ... | {"states": [724, 756], "expectation_value": -2.388111364866106, "params": [[0.9834, -0.0091, 1.2031, 1.1883000000000001, 0.5176000000000001, 1.1911, 0.335, 1.1924000000000001, 0.0019, -0.0013000000000000002], [1.185, -0.034, 0.5289, -0.2078, 0.1637, 0.4219, 0.1164, 0.7785000000000001, 0.0044, 0.0058000000000000005], [0... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 10 | 10 | 2 | {"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, -3.25, -3.25], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100001011", "0010101001", "0001001110", "0001100110", "0100010011", "100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.1783625631622077) q[0];
ry(-0.006706987331923493) q[1];
ry(1.9462553802040514) q[2];
ry(1.019265769797049) q[3];
ry(0.5361501555280688) q[4];
ry(1.8134832859913776) q[5];
ry(-0.30568723936358444) q[6];
ry(1.5188259262110946) q[7];
ry(-0.0974740111005822) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIZZIIIZ",
"IIIZIZIIIZ",
"IIIZZIIIIZ"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.125,
-0.125... | 0.97372 | [
1.1783625631622077,
-0.006706987331923493,
1.9462553802040514,
1.019265769797049,
0.5361501555280688,
1.8134832859913776,
-0.30568723936358444,
1.5188259262110946,
-0.0974740111005822,
-0.05723860341672066,
0.9475964644963719,
0.12470101392180558,
0.19935262936210102,
0.01926577938651311,
... | {
"n_parameters": 30,
"n_qubits": 10,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 40 |
d3afc618b7dbe8b32f310fdf84749e1a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [88, 84], "expectation_value": -0.16530946220433215, "params": [[-0.037700000000000004, -0.0344], [0.0444, 0.0342]], "bitstrings": ["0100111", "0101011"], "total_optimization_steps": 10, "probabilities": [0.008542737517352808, 0.008542737517352812], "optimization_time": 7.007018089294434} | 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(6) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(5) + -1.0 * Z(6) + -0.5 * Z(3) + -0.5 * Z(4) + 0.0 * Z(2) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1101010", "0100111", "1100110", "0101011"], "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(0.10744767680386966) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.10744767680386966) q[5];
cx q[0], q[5];
h q[6];
cx q[1], q[6];
rz(0.10744767680386966) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], q[3];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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];... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IZIIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZZIIIII",
"IIIZIZI",
"IIZIIZI",
"IIZZIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1,
-0.5,
-0.5,
0
] | 0.932809 | [
0.10744767680386966,
-1.4767901991027308,
-0.833143966371636,
-0.01219406791514734,
0.6976046154172691,
-1.491648375221724,
0.7470776778598038,
-1.7324742201717185,
-1.1304502361409419,
-1.3608082420526102,
-0.3865911164064282,
0.6593258092663152,
2.894466573482227,
-1.5283276206684517,
... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 500 |
5144181ac27497fdfa9bdb5b8b799630 | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]} | {"states": [235, 427], "expectation_value": -6.516720859775182, "params": null, "bitstrings": ["100010100", "001010100"], "total_optimization_steps": 71, "probabilities": [0.10732474291520576, 0.8012628927503078], "optimization_time": 162.3955910205841} | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.25 * (Z(... | 1 | 9 | 4 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["001010100", "100010001"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[2] q;
h q[0];
ry(-1.5486225528998339) q[0];
h q[1];
ry(-1.5451929801415893) q[1];
| null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 0}], "edges": [{"source": 2, "target": 1}, {"source": 1, "target": 0}]}} | {"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(1.5706) 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... | [
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIIZIIZI",
"IIIZZIIII",
"IIIIIZIIZ",
"IIIZIZIII",
"IIIIZZIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIIIIZIII",
"IZIIIIIZI",
"IZIIIIZII",
"IZIIZIIII",
"ZZIIIIIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIZIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
1.25,
1.25,
1.25,
1.25,
1,
1.25,
1.25,
1.25,
1.25
] | 0.999809 | [
-1.5486225528998339,
-1.5451929801415893
] | {
"n_parameters": 2,
"n_qubits": 2,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 1 |
9489ce4d26b81338a996936b33ca51e5 | 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": 5}, {"source": ... | {"states": [1023, 255], "expectation_value": -0.9516297769806766, "params": [[-0.0337], [0.0285]], "bitstrings": ["0000000000", "1100000000"], "total_optimization_steps": 10, "probabilities": [0.0012155273823521995, 0.0012340318340751837], "optimization_time": 1.0009524822235107} | -1.5 * (Z(0) @ Z(1)) + -3.5 * (Z(2) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(2)) + 1.5 * (Z(8) @ Z(4)) + -3.5 * (Z(8) @ Z(2)) + 1.0 * (Z(8) @ Z(5)) + -3.5 * (Z(9) @ Z(4)) + -2.5 * (Z(9) @ Z(2)) + -2.5 * (Z(9) @ Z(5)) + -3.5 * (Z(9) @ Z(8)) + -3.0 * (Z(3) @ Z(4)) + 1.0 * (Z(3) @ Z(2)) + -3.5 * (Z(3) @ Z(8)) + 1.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-36.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.5, "smallest_bitstrings": ["1100000000"], "largest_eigenvalue": 36.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.03699001578432089) q[0];
rz(-0.0019772309980120376) q[0];
rx(-2.2185588509288414) q[1];
rz(0.1854982736483756) q[1];
rx(-0.06151402469837384) q[2];
rz(-0.04525476289443207) q[2];
rx(-0.0678853837598842) q[3];
rz(-0.1091061901622673) q[3];
rx(-0.0678853837598842) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIZII",
"IIIIZZIIII",
"IIIIZIIZII",
"IZIIIZIIII",
"IZIIIIIZII",
"IZIIZIIIII",
"ZIIIIZIIII",
"ZIIIIIIZII",
"ZIIIZIIIII",
"ZZIIIIIIII",
"IIIIIZZIII",
"IIIIIIZZII",
"IZIIIIZIII",
"ZIIIIIZIII",
"IIIZIZIIII",
"IIIZIIIZII",
"IZIZIIIIII",
"ZIIZIIIIII",
"IIIZIIZIII"... | [
-1.5,
-3.5,
1,
-2.5,
1.5,
-3.5,
1,
-3.5,
-2.5,
-2.5,
-3.5,
-3,
1,
-3.5,
1,
-3,
0.5,
1,
0.5,
-2.5,
0.5,
0.5,
-3,
0.5,
1,
-2.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.972446 | [
-0.03699001578432089,
-0.0019772309980120376,
-2.2185588509288414,
0.1854982736483756,
-0.06151402469837384,
-0.04525476289443207,
-0.0678853837598842,
-0.1091061901622673,
0.09010778039649131,
-0.13460713309887,
-0.11131066124565554,
-0.0017782861329004584,
0.1546158130596793,
3.146662755... | {
"n_parameters": 15,
"n_qubits": 10,
"optimal_eigenvalue": -36.5,
"target_ratio": 0.97,
"target_value": -35.405
} | 5 |
ee5003dbca1fdbcbd88181869b242caf | 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": [1328, 1330], "expectation_value": -52.20735634329675, "params": [[[0.48650000000000004, 0.1052], [0.1492, 0.0945], [0.5046, 0.48460000000000003], [0.047, 0.5021], [-0.14780000000000001, 0.2853], [0.24130000000000001, 0.4943], [0.3114, 0.4702], [0.2252, 0.5006], [-0.0509, 0.45030000000000003], [0.4998, 0.5],... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(5) @ Z(7)) + 7.0 * (Z(6) @ Z(1)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(8) @ Z(9)) + 7.0 * (Z(10) @ Z(0)) + 7.0 * (Z(10) @ Z(9)) + 9.0 * Z(1) + 5.5 * Z(0) + 13.0 * Z(2) + -3.5 * Z(3) + 3.5 * Z(7) + 6.5 * Z(5... | 15 | 11 | 4 | {"smallest_eigenvalues": [-105.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -99.5, "smallest_bitstrings": ["01011001101"], "largest_eigenvalue": 148.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.2540102134541737) q[0];
ry(-0.007875250035448013) q[1];
ry(0.8417588566466155) q[2];
ry(0.18103627403586547) q[3];
ry(0.6611554419561063) q[4];
ry(0.08769955039227481) q[5];
ry(0.1915702791835152) q[6];
ry(0.06118347444745005) q[7];
ry(0.022940309181209942) q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIZZII",
"IIIZIZIIIII",
"IIIIZIIIIZI",
"IIIIZIIIZII",
"IIIZZIIIIII",
"IIIIZZIIIII",
"IZZIIIIIIII",
"ZIIIIIIIIIZ",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIZIIIIIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IZIIIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
9,
5.5,
13,
-3.5,
3.5,
6.5,
21,
8,
-4.5,
3,
-10
] | 0.973516 | [
1.2540102134541737,
-0.007875250035448013,
0.8417588566466155,
0.18103627403586547,
0.6611554419561063,
0.08769955039227481,
0.1915702791835152,
0.06118347444745005,
0.022940309181209942,
0.4266355271846383,
0.26343100612238296,
0.14247864090152831,
0.114110993424316,
0.134190251976176,
... | {
"n_parameters": 86,
"n_qubits": 11,
"optimal_eigenvalue": -105.5,
"target_ratio": 0.97,
"target_value": -102.335
} | 129 |
dca74c4464ee5c0862a21e9a873391f9 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [14, 28], "expectation_value": -2.989091462326524, "params": null, "bitstrings": ["1110001", "1100011"], "total_optimization_steps": 30, "probabilities": [0.06071911057783971, 0.8639380535374453], "optimization_time": 20.6330246925354} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + -0.5 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(6) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["1101010", "1100011", "1110001", "0110101", "0011101", "0101110", "0100111", "0001111"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.3261879765800164) q[0];
rz(1.3498234549150556) q[0];
rx(0.16548659132819363) q[1];
rz(1.4526953729286571) q[1];
rx(0.2776296021368347) q[2];
rz(1.5160908817020786) q[2];
rx(0.6279148589634342) q[3];
rz(1.4920196900062512) q[3];
rx(-0.006774915293495331) q[4];
rz(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(-1.5681) 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", ... | [
"IIZIIIZ",
"IIZIIZI",
"IIIZIZI",
"ZIIIIZI",
"ZIIZIII",
"ZZIIIII",
"IZIIZII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IZIIIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1,
-0.5,
-1,
-0.5,
0
] | 0.971022 | [
0.3261879765800164,
-0.22097287187984072,
0.1654865913281936,
-0.11810095386623967,
0.2776296021368347,
-0.05470544509281741,
0.6279148589634342,
-0.07877663678864508,
-0.006774915293495332,
-0.06537013826367577,
-0.25990680458911103,
0.024489350374356463,
0.0028759361912815695,
0.50129538... | {
"n_parameters": 130,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 39 |
2d66a63516707ef6fa08689003d445e4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capaci... | {"states": [25, 31], "expectation_value": -4.247334017010428, "params": null, "bitstrings": ["100110", "100000"], "total_optimization_steps": 35, "probabilities": [0.24945952058901016, 0.7485756074158377], "optimization_time": 26.73444128036499} | -0.25 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.75 * Z(1) + 0.25 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.045249314476118775) q[0];
ry(-0.09669560328563567) q[1];
ry(-0.03838379751098028) q[2];
ry(0.014164474914697217) q[3];
ry(1.3425228774533042) q[4];
ry(-1.5424621818592792) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5486) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IZIIIZ",
"IZIIZI",
"IIIZZI",
"IZZIII",
"IIZIZI",
"ZIIIIZ",
"ZIIIZI",
"ZIIZII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-0.25,
-0.5,
-0.75,
-1,
-0.5,
0.5,
-0.5,
-0.5,
0.25,
-0.25,
0.75,
0.25,
-0.5,
-0.5
] | 0.975709 | [
-0.045249314476118775,
-0.09669560328563567,
-0.03838379751098028,
0.014164474914697217,
1.3425228774533042,
-1.5424621818592792,
0.042932205280697015,
0.41990295334686945,
-0.08410675703429009,
0.011798461387283209,
-0.05732375796055354,
-0.015000365546906917,
-0.27227999211895876,
0.0942... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 97 |
-9222355336606288812 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1], [0, 6], [3, 4], [0, 2], [0, 7], [4, 7], [8, 1], [2, 5], [8, 7], [8, 6], [3, 6], [5, 7], [8, 3], [0, 3], [1, 3], [8, 5], [1, 5]]} | {"states": [230, 281], "expectation_value": -0.16965490552764798, "params": [[0.07200000000000001], [-0.0712]], "bitstrings": ["100011001", "011100110"], "total_optimization_steps": 10, "probabilities": [0.002415837808113856, 0.002415837808113856], "optimization_time": 2.442521095275879} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["100011001", "011100110"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.5059577198375977) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.5059577198375977) q[3];
cx q[1], q[3];
h q[4];
h q[5];
h q[6];
cx q[0], q[6];
rz(0.5059577198375977) q[6];
cx q[0], q[6];
cx q[0], q[3];
rz(0.5059577198375977)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[6];
rz(x0) q[6];
cx q[0], q[6];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIZIIIIIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIZIIZIII",
"IIIIZZIII",
"IIIIIIZIZ",
"IZIIIIIIZ",
"IZIIZIIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIZIIIZI",
"IIIZIIZII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIZIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.407652 | [
0.5059577198375977,
8.187522020614032e-9,
-0.6859635329936021
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 100 |
16db80e23401221151a1d98fc21253cf | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [490, 234], "expectation_value": -58.38359034263035, "params": [0.4716, 0.2554, 0.8946000000000001, 0.005, 0.8949, 0.0013000000000000002, 0.8995000000000001, 0.22260000000000002, 0.25930000000000003, 0.4413, 0.8983000000000001, 0.19540000000000002, 0.42750000000000005, 0.4707, 0.894, 0.0102, 0.0038, -0.4993,... | 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(8) @ Z(1)) + 13.0 * Z(1) + 12.5 * Z(2) + 5.0 * Z(0) + 8.5 * Z(3) + 12.0 * Z(5) + 1.0 * Z(4) + 10.0 * Z(7) + 4.0 *... | 18 | 9 | 3 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 127.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.07590928297699068) q[0];
rz(-0.20514038204970486) q[0];
rx(3.105398025622982) q[1];
rz(0.7152020881196426) q[1];
rx(3.156248455857431) q[2];
rz(0.7247263734514109) q[2];
rx(3.5258527438747937) q[3];
rz(0.8444639325516996) q[3];
rx(0.10962034168911333) q[4];
rz(0.15... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIZIZIII",
"IIIIZZIII",
"IIIZZIIII",
"IZIIIIZII",
"IIZZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
13,
12.5,
5,
8.5,
12,
1,
10,
4,
-4
] | 0.973835 | [
0.07590928297699068,
-0.27612346186417525,
3.105398025622982,
0.7152020881196426,
3.156248455857431,
0.7247263734514109,
3.5258527438747937,
0.8444639325516996,
0.10962034168911333,
0.15214958148736898,
3.214527470134844,
-0.7275645475283415,
0.03802760441517275,
-0.26361138964710784,
3.... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -76,
"target_ratio": 0.97,
"target_value": -73.72
} | 17 |
9c63a6179c0b5e6ec2eaed70107cee42 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [245, 117], "expectation_value": -48.931203978753445, "params": [0.4782, 0.28300000000000003, 0.9002, 0.08750000000000001, 0.8941, 0.0018000000000000002, 0.8981, 0.2024, 0.41240000000000004, 0.41250000000000003, 0.8949, 0.1547, 0.3408, 0.3382, 0.8979, 0.066, 0.47540000000000004, 0.2528, 0.8926000000000001, 0... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(2) @ Z(1)) + 6.0 * (Z(3) @ Z(0)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(7) @ Z(2)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(6) @ Z(5)) + 7.5 * Z(0) + 9.0 * Z(1) + 16.0 * Z(2) + 5.5 * Z(3) + 3.5 * Z(4) + 13.5 * Z(7) + 14.5 * Z(5) + 3.0 * ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-68.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10001010"], "largest_eigenvalue": 132.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.16384235597795196) q[0];
rz(0.5127856450017485) q[0];
rx(0.9598840098699637) q[1];
rz(0.012916313004420948) q[1];
rx(1.2354631007437866) q[2];
rz(-0.04727541390527962) q[2];
rx(0.6830760783796914) q[3];
rz(0.30739835356147005) q[3];
rx(0.17071531645420426) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIZIIZ",
"IIIZZIII",
"ZIIIIZII",
"IIZZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IZZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
7.5,
9,
16,
5.5,
3.5,
13.5,
14.5,
3
] | 0.972729 | [
0.163842355977952,
0.5236728097378291,
0.9598840098699637,
0.012916313004420948,
1.2354631007437866,
-0.04727541390527962,
0.6830760783796914,
0.30739835356147005,
0.17071531645420426,
0.6334147977858172,
0.9756574045924378,
0.47334013932734775,
0.13110478594142047,
0.11965875749574686,
... | {
"n_parameters": 70,
"n_qubits": 8,
"optimal_eigenvalue": -68.5,
"target_ratio": 0.97,
"target_value": -66.445
} | 10 |
29e20e1b5f946c33b32370f6ba5b02af | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 2, "source": ... | {"states": [0, 256], "expectation_value": -13.272499181074988, "params": [-0.0049, -0.0048000000000000004, 0.0006000000000000001, 0.0022, 0.0006000000000000001, 0.0027, 0.2008, 0.198, -0.0038, 0.0045000000000000005, 0.0008, 0.003, 0.0054, 0.0011, 0.1547, 0.1738, 0.0043, 0.0015, 0.0137, 0.0173, 0.00030000000000000003, 0... | -0.5 * (Z(0) @ Z(5)) + -0.25 * (Z(10) @ Z(5)) + -0.25 * (Z(10) @ Z(0)) + -0.5 * (Z(11) @ Z(5)) + -0.5 * (Z(11) @ Z(0)) + -0.25 * (Z(11) @ Z(10)) + -0.5 * (Z(1) @ Z(5)) + -0.25 * (Z(1) @ Z(10)) + -0.25 * (Z(1) @ Z(11)) + -0.75 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(10)) + -0.75 * (Z(6) @ Z(11)) + -0.75 * (Z(6) @ Z(1)) + -0.... | 14 | 12 | 4 | {"smallest_eigenvalues": [-13.75, -13.75, -13.75, -13.75, -13.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -12.75, "smallest_bitstrings": ["100000000000", "111011101011", "111011101111", "111011111011", "111011111111"], "largest_eigenvalue": 15.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.21339719581214925) q[0];
rz(pi/2) q[0];
ry(0.16112701788019781) q[1];
ry(-0.1741930176279861) q[2];
ry(0.3185327243754466) q[3];
ry(0.04309262364825121) q[4];
ry(0.02866007162598696) q[5];
ry(-0.009254302915217024) q[6];
ry(0.37720427191283173) q[7];
ry(-0.0486838... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIZ",
"IZIIIIZIIIII",
"IZIIIIIIIIIZ",
"ZIIIIIZIIIII",
"ZIIIIIIIIIIZ",
"ZZIIIIIIIIII",
"IIIIIIZIIIZI",
"IZIIIIIIIIZI",
"ZIIIIIIIIIZI",
"IIIIIZZIIIII",
"IZIIIZIIIIII",
"ZIIIIZIIIIII",
"IIIIIZIIIIZI",
"IIIZIIZIIIII",
"IZIZIIIIIIII",
"ZIIZIIIIIIII",
"IIIZIIIIIIZI",
"IIIIIIIIZ... | [
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.75,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
-0.5,
-0.5,
1.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-1.25,
-0.25,
-1.25,
-0.... | 0.972235 | [
0.21339719581214925,
0.16112701788019781,
-0.1741930176279861,
0.3185327243754466,
0.04309262364825121,
0.02866007162598696,
-0.009254302915217024,
0.37720427191283173,
-0.048683864270376215,
0.08154015711331503,
0.09656654578099143,
-0.023913394771946705,
0.2542650498573426,
0.13613566952... | {
"n_parameters": 121,
"n_qubits": 12,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 1 |
4d778fc08d555f5d794c80ebdd4cf032 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [0, 1], "expectation_value": -13.107522665180664, "params": [0.006200000000000001, 0.3008, 0.0034000000000000002, 0.4595, 0.0055000000000000005, 0.27090000000000003, 0.0025, 0.46480000000000005, 0.0035, 0.42360000000000003, 0.0007, 0.433, 0.0021000000000000003, 0.4534, 0.0038, 0.4434, 0.6066, -0.0041, 0.0033... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + 2.75 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ ... | 4 | 9 | 3 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.12632010655421677) q[0];
rz(1.8578626502860658) q[0];
rx(-0.000669354581534873) q[1];
rz(2.0703142827695533) q[1];
rx(0.0270665271796058) q[2];
rz(1.7439616172522454) q[2];
rx(0.024827761160138635) q[3];
rz(2.2582094671703317) q[3];
rx(-0.1257776751083039) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIZIIII",
"IZIIIIIIZ",
"IZZIIIIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZZIIII",
"IZIZIIIII",
"IIIIIIZZI",
"IIIIZIZII",
"IZIIIIZII",
"ZIIIIIZII",
"IIIIIZZII",
"IIIIIIIZI",
"... | [
-0.75,
-0.5,
-0.75,
-0.5,
-0.5,
-1,
-0.5,
-0.75,
2.75,
-0.75,
-0.25,
-1.5,
-0.25,
-1,
-0.75,
-0.5,
-0.75,
-0.75,
-0.75,
-0.25,
-0.75,
-0.25,
0,
0.5,
0.25,
1.25,
-0.5,
-1,
0.5
] | 0.985832 | [
-0.12632010655421677,
0.28706632349116823,
-0.0006693545815348728,
0.4995179559746564,
0.0270665271796058,
0.17316529045734858,
0.024827761160138635,
0.6874131403754353,
-0.12577767510830393,
0.39459743160431243,
0.06753267216512844,
0.6803025278602091,
0.022585476584377165,
0.343210858297... | {
"n_parameters": 70,
"n_qubits": 9,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 7 |
1544988c6452fa79840159cabec617a0 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capac... | {"states": [131, 3], "expectation_value": -12.709926169926845, "params": null, "bitstrings": ["1101111100", "1111111100"], "total_optimization_steps": 53, "probabilities": [0.21045043570102925, 0.3695999998291817], "optimization_time": 86.30240058898926} | -0.75 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + -1.5 * (Z(6) @ Z(2)) + -0.5 * (Z(9) @ Z(3)) + 2.25 * (Z(9) @ Z(0)) + -1.0 * (Z(7) @ Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-18.25, -18.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["1111111110", "1111111100"], "largest_eigenvalue": 18.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.21991237157639332) q[0];
rz(1.8883065486132224) q[0];
rx(0.05960623267992694) q[1];
rz(1.8782531400359819) q[1];
rx(0.10333697073906706) q[2];
rz(1.8763157157781238) q[2];
rx(0.09107531421740404) q[3];
rz(1.5652853808599527) q[3];
rx(-0.31270790172871954) q[4];
r... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.5709) 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] = measure q[5]... | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIIZIIIZI",
"IIIIIZIZII",
"IIIIZIIZII",
"IIIIIIIZZI",
"IIIZIIIIZI",
"IIIZIIIZII",
"ZIIIIIZIII",
"ZIIIIIIIIZ",
"IIZIIZIIII",
"IIZIZIIIII",
"IIZIIIIIZI",
"IZIIIZIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IIIIIIZIII"... | [
-0.75,
-0.5,
-0.25,
-0.25,
-1,
-0.75,
-1,
-0.25,
-0.5,
-1,
-1.5,
-0.5,
2.25,
-1,
-1,
-0.25,
-1,
-0.5,
-1.5,
-0.5,
-0.25,
-0.25,
-2.75,
0,
-2.75,
1.5,
1.75,
0.25,
3
] | 0.970376 | [
-0.21991237157639332,
0.3175102218183261,
0.05960623267992694,
0.3074568132410857,
0.10333697073906707,
0.3055193889832275,
0.09107531421740403,
-0.005510945934944347,
-0.31270790172871954,
0.13462944472402377,
0.18458068034576589,
0.05874535421467787,
0.5084344925593844,
0.026157723503872... | {
"n_parameters": 133,
"n_qubits": 10,
"optimal_eigenvalue": -18.25,
"target_ratio": 0.97,
"target_value": -17.7025
} | 20 |
533fcd480a5175680493f52fe07173d6 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [61, 37], "expectation_value": -3.7330385997197912, "params": [[-0.0021000000000000003, -0.0017000000000000001, 0.0008, 0.7778, 0.7684000000000001, 0.0004, -0.0018000000000000002, -0.002], [-0.0017000000000000001, -0.0045000000000000005, 0.0019, 0.7802, 0.7714000000000001, -0.0018000000000000002, -0.00390000... | -1.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(2)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7)... | 9 | 8 | 4 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["11011010"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.24633714219781486) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.21817790403825055) q[4];
cx q[0], q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(0.21817790403825055) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], q[3];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IZIZIIII",
"IIIIZIZI",
"IIIIIZZI",
"IIIZIZII",
"IZIIIZII",
"IIZIZIII",
"IIZIIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIZIII",
"IIIIIZII",
"IIZIIIII",
"ZIIIIIII"
] | [
-1.25,
-0.25,
-0.25,
-0.5,
-1.5,
-0.25,
-1.5,
-0.75,
-0.75,
-0.75,
-1.25,
2.25,
-0.25,
-1,
-2.25,
-0.25,
0.5,
-1.5,
-1,
3,
0.5,
1
] | 0.970078 | [
0.24633714219781486,
0.21817790403825055,
0.199992130079758,
0.1953546771601644,
-0.14097260777717124,
-0.07642561716032488,
0.30474345781691703,
0.6989900081918277,
0.16619846372059824,
-0.778933966788156,
-0.9833885279660904,
1.522204508836878,
0.4784825986818201,
0.33645844578145834,
... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 312 |
b112e2ea9564e5424aa1ebbe167f5e45 | 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": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [1, 5], "expectation_value": -6.692731374408554, "params": [0.0047, 0.4203, -0.0034000000000000002, 0.6604, -0.0036000000000000003, 0.6616000000000001, -0.0033, -0.6557000000000001, -0.0061, 0.5719000000000001, 0.4938, 0.0061, -0.0021000000000000003, 0.5918, 0.7861, 0.0026000000000000003, 0.0004, 0.5492, -0.... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(4)) + 1.25 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(5)) + 0.0 * Z(1) + -0.25 * Z(0) + -0.5 * Z(3) + 1.75 * Z(5) + -1.0 * Z... | 3 | 8 | 4 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["11111010", "11111000"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.18819774766479871) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.18819774766479871) q[2];
cx q[1], q[2];
rz(0.9557972396968015) q[1];
rx(1.563801549934994) q[1];
h q[3];
cx q[0], q[3];
rz(0.4061575429734188) q[3];
cx q[0], q[3];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIZIII",
"IIIIIZZI",
"IIZIIZII",
"IIIZZIII",
"IZZIIIII",
"IZIZIIII",
"ZIIIIIIZ",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
1.25,
-0.5,
0,
-0.25,
-0.5,
1.75,
-1,
-0.75,
0,
0.75
] | 0.90226 | [
0.18819774766479871,
0.4061575429734188,
-0.39507107261197827,
0.9557972396968014,
-0.4899844130103013,
0.8080302961898232,
0.8568281505616694,
-0.9522092767684763,
1.563801549934994,
0.3638837016850933,
0.5115046122872459,
-0.8854963185030021,
-2.014006815333632,
1.414161618397495,
1.20... | {
"n_parameters": 17,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 383 |
9e72b7dd0d69a46b7f007aaed5517323 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 5, "target": 3}]} | {"states": [14, 7], "expectation_value": -6.838019327905491, "params": null, "bitstrings": ["110001", "111000"], "total_optimization_steps": 55, "probabilities": [0.1065316688417241, 0.6056265915786384], "optimization_time": 80.7170557975769} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 * ... | 11 | 6 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(1.5706415412178192) q[0];
ry(0.17738065745091058) q[0];
rz(-1.2289331769937306) q[0];
rz(-2.0064394391485636) q[1];
ry(0.05195164644631841) q[1];
rz(1.6158226668893017) q[1];
rz(-1.4591808629773537) q[2];
ry(0.1438680830206584) q[2];
rz(1.3823592347405116) q[2];
rz(-... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[3], 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 ... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
1.75,
2,
2,
2,
2,
2,
2,
1.75,
-0.5,
-1,
-0.5,
-0.25,
-0.5,
-0.25
] | 0.981301 | [
0.1774500647835066,
0.3748855468174612,
0.04098849267156553,
-0.24415803312160173,
-0.24801868974247307,
-0.151177436467156,
1.6175791763168208,
-0.03242731533050097,
1.9188194167141894,
0.05578166470394768,
1.8647875584561593,
-0.06973403478083848,
-0.0000745897025684443,
-0.0331747529448... | {
"n_parameters": 24,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 16 |
73924d088e12a6d78414c437d1cb8fbe | 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": [2962, 2834], "expectation_value": -120.60342880839943, "params": [[0.6423, 0.0106, 0.8489, 0.2376, 0.40990000000000004, 0.0006000000000000001, -0.0587, 0.6261, -0.0029000000000000002, -0.0291, 0.7093, 0.037200000000000004], [0.6427, -0.0098, 0.44380000000000003, -0.1048, 0.27540000000000003, -0.003600000000... | 8.5 * (Z(1) @ Z(0)) + 8.5 * (Z(2) @ Z(4)) + 8.5 * (Z(3) @ Z(4)) + 8.5 * (Z(3) @ Z(2)) + 8.5 * (Z(5) @ Z(7)) + 8.5 * (Z(6) @ Z(7)) + 8.5 * (Z(9) @ Z(2)) + 8.5 * (Z(10) @ Z(2)) + 8.5 * (Z(10) @ Z(9)) + 8.5 * (Z(11) @ Z(3)) + 8.5 * (Z(11) @ Z(10)) + -0.5 * Z(0) + -4.0 * Z(1) + 5.0 * Z(4) + 26.5 * Z(2) + 17.5 * Z(3) + 6.5 ... | 10 | 12 | 4 | {"smallest_eigenvalues": [-141.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -134.5, "smallest_bitstrings": ["010011101101"], "largest_eigenvalue": 189.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.8714249344693271) q[0];
ry(0.30785195054942743) q[1];
ry(0.7735897935263621) q[2];
ry(0.46610001428938586) q[3];
ry(0.1232410411200841) q[4];
ry(-0.19567250973877326) q[5];
ry(-0.36035771346876966) q[6];
ry(0.7411319532942243) q[7];
ry(0.09752273663496888) q[8];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIIIZZII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIZIIIIIIZII",
"IZIIIIIIIZII",
"IZZIIIIIIIII",
"ZIIIIIIIZIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIIZ",
"IIIIIIIIIIZI",
"IIIIIIIZIIII",
"IIIIIIIIIZII",
"IIIIIIIIZIII",
"IIIIZIIIIIII",
"IIIIIIZII... | [
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
-0.5,
-4,
5,
26.5,
17.5,
6.5,
-8,
-3.5,
5,
16,
3,
-13.5
] | 0.97081 | [
0.8714249344693271,
0.30785195054942743,
0.7735897935263621,
0.46610001428938586,
0.1232410411200841,
-0.19567250973877326,
-0.36035771346876966,
0.7411319532942243,
0.09752273663496888,
0.1195278353476166,
0.6870000359175853,
-0.11532878345486741,
0.5726822395359268,
0.07619817655936412,
... | {
"n_parameters": 59,
"n_qubits": 12,
"optimal_eigenvalue": -141.5,
"target_ratio": 0.97,
"target_value": -137.255
} | 13 |
b03062475f1287ad31bf0aaec748b841 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": ... | {"states": [832, 963], "expectation_value": -21.442702010841483, "params": [0.8092, 0.2516, 0.5688, 0.5852, 0.6679, 0.557, 0.53, 0.7227, 0.8888, 1.0688, -0.7771, 0.7110000000000001, 0.8428, 1.4266, 0.5764, 0.6981, 0.0006000000000000001, 0.6664, 0.0018000000000000002, 1.3528, -0.0021000000000000003, 0.7789, -0.006200000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(5)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + -1.5 * (Z(2) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + -2.0 *... | 6 | 10 | 3 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["0000111100"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.8533030903316493) q[0];
rz(2.0531308600922245) q[0];
rx(0.35621584720791755) q[1];
rz(1.974764623428082) q[1];
rx(1.735087997260482) q[2];
rz(3.0493011326905908) q[2];
rx(0.6571776399995019) q[3];
rz(2.6805543511212413) q[3];
rx(0.10578863356944496) q[4];
rz(2.172... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"IIZIZIIIII",
"IIZIIZIIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"ZIIIIIIZII",
"IZIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII"... | [
-1.5,
-1.5,
-1.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2,
1,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
-2,
1.5,
-1.5,
1,
0.5,
0.5,
0.5
] | 0.97057 | [
0.8533030903316492,
0.48233453329732806,
0.35621584720791755,
0.40396829663318534,
1.7350879972604822,
1.4785048058956942,
0.6571776399995019,
1.1097580243263452,
0.10578863356944494,
0.6016269032756117,
-0.04631051449482683,
-0.1198304868911331,
0.04511545154645174,
0.24081034919981864,
... | {
"n_parameters": 143,
"n_qubits": 10,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 385 |
b72451fd8beb69606a84f4be9a392c11 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 4, "source": 2, ... | {"states": [128, 1], "expectation_value": -13.24985956669714, "params": null, "bitstrings": ["01111111", "11111110"], "total_optimization_steps": 25, "probabilities": [0.16039986051788002, 0.8124810515768286], "optimization_time": 27.396448135375977} | -1.0 * (Z(0) @ Z(4)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -1.0 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + 2.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -13.0, "smallest_bitstrings": ["11111110", "11000010", "10000010"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(4.5847965068196375e-09) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(-0.047144458058862276) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[2];
rz(4.5847965068196375e-09) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(4... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[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... | [
"IIIZIIIZ",
"IIZZIIII",
"IIZIIIIZ",
"IZIIIIIZ",
"IZZIIIII",
"IIIZIZII",
"IZIIIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IIIIZZII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"IIIZIIZI",
"IIZIIIZI",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII",
"ZIIIIII... | [
-1,
-1.25,
-0.75,
-0.75,
-0.25,
-1,
-1,
-1,
-0.75,
-1,
-1,
2.75,
-0.75,
-1,
-0.5,
-0.75,
0.75,
-0.25,
0.25,
-3,
1.75,
0.75,
1,
-1.25
] | 0.897762 | [
4.5847965068196375e-9,
-0.047144458058862276,
1.958412113975725e-8,
-0.5570436665027615,
-6.440595128275094e-8,
-5.3799991138860575e-8,
1.5707963359197723,
1.5707963772985278,
-1.5707963090253823,
1.5707963669799336,
1.570796306035255,
-1.570796301813503
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 287 |
26d7f56e59bfdf48052023802b40605b | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [9, 3], "expectation_value": -1.477628649142227, "params": [[-0.0171, -0.029300000000000003, -0.004200000000000001, 0.07200000000000001], [0.0073, 0.0337, 0.035500000000000004, -0.0397]], "bitstrings": ["10110", "11100"], "total_optimization_steps": 10, "probabilities": [0.03745912410989647, 0.03806091277626... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 9 | 5 | 4 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(1.2499764251158545) q[0];
ry(-3.131892145691064) q[1];
rz(-pi) q[1];
cx q[0], q[1];
ry(-0.044478645155635405) q[1];
cx q[0], q[1];
ry(0.12664230797643383) q[0];
h q[2];
ry(1.5166171737405318) q[2];
ry(-0.03588918412791559) q[3];
rz(-pi) q[3];
ry(-0.0607466333... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
2,
1.75,
1.75,
2,
2,
2,
-2.75,
-2.5,
-2.75,
-2.25,
-2.25
] | 0.996768 | [
-1.542809730398753,
-1.422554814258884,
1.2499764251158545,
1.5166171737405318,
-0.17498975827594188,
0.08895729031127081,
0.07763652938393162,
0.25328461595286766,
0.0158051754635434,
-0.01985291831550096,
-0.1417123084039368,
-0.06160524380502602,
-0.0461715348705158
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
aafba232bddbab68741369c28fd60f9f | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}]} | {"states": [3, 11], "expectation_value": -8.263233464376844, "params": [-0.0027, 0.006200000000000001, -0.0023, 0.003, -1.5973000000000002, 0.0027, -0.0024000000000000002, 0.0081, 3.1445000000000003, 0.0039000000000000003, 3.1439000000000004, 0.0034000000000000002, 0.006500000000000001, 0.0037, 0.009600000000000001, 0.... | 0.5 * (Z(0) @ Z(4)) + 2.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(1)) + 1.0... | 18 | 6 | 1 | {"smallest_eigenvalues": [-8.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.75, "smallest_bitstrings": ["110100"], "largest_eigenvalue": 25.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.6059711361663426) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.002835582251174708) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.6059711361663426) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.01656... | 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": 3} | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"ZZIIII",
"ZIIIIZ",
"IZIIZI",
"IIIIZZ",
"ZIIIZI",
"IZIZII",
"IIIZIZ",
"ZIIZII",
"IIIZZI",
"IZZIII",
"IIZIIZ",
"ZIZIII",
"IIZIZI",
"IIZZII",
"IZIIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
0.5,
2,
1,
0.5,
0.25,
1,
-0.5,
-0.5,
-1,
-0.5,
-1,
-1,
-2,
-1,
1,
2.5,
0.5,
5,
0.5,
-1,
-2
] | 0.927765 | [
-0.6059711361663426,
0.002835582251174708,
-0.005892897267408092,
1.9673946829852578,
-0.016569426499993246,
0.0007364663076169241,
-1.7704792450087574,
-1.8455644619428733,
0.2451053747201248,
-1.3001258169311252,
-1.066059710326319,
0.0004593878512842986,
-0.01598779461431634,
1.89697250... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 500 |
f20b14ccaf46fd91ed39b9c05edbe906 | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 30, "source": 0, "target": 3}, {"weight": 27, "source": 0, "target": 4}, {"weight": 32, "source": 0, "target": 2}, {"weight": 10, "source... | {"states": [991, 989], "expectation_value": -6.957379226004055, "params": [0.3934, 0.024300000000000002, 0.3645, 0.0194, 0.30770000000000003, 0.0227, 0.3059, 0.025400000000000002, 0.31320000000000003, 0.0161, 0.306, 0.017400000000000002, 0.2967, -0.007500000000000001, 0.32530000000000003, -0.0241, 0.2726, -0.0045000000... | 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(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.25 * (Z(8) @ Z(0)) + 0.25 * (Z(... | 6 | 11 | 4 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["00110101000", "10000100010", "00100101000", "10000100011"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IIIIZIIIZII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIZIIIIIZI",
"IIIZIIIIIIZ",
"IIIZIIZIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIIIIZII",
"IIZIIZIIIII",
"IIZZIIIIIII",
"IZIIIIIIIZI",
"IZIIIIIIZ... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
1.5,
1.25,
1.5,
1,
1,
1,
1.25,
1.5,
1.5,
0.25,
0.25
] | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
b2edf981a9c05ff141b468ab5531d2c7 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [69, 85], "expectation_value": -1.392554243900398, "params": [0.7052, 0.24680000000000002, 0.0674, 0.42100000000000004, 0.5252, -0.12090000000000001, 0.2326, -0.2525, 0.7084, 0.14800000000000002, 0.2513, 0.2816, 0.5778, 0.0442, 0.7005, 0.2383, 0.064, 0.436, 0.5357000000000001, -0.1761, 0.2326, -0.26480000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 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(5) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.... | 18 | 7 | 3 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["0101010", "0110001"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.5248550386083428) q[0];
ry(-0.10221270413882634) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
ry(-0.09127413307150792) q[3];
h q[4];
ry(1.5248550386083428) q[4];
h q[5];
ry(-0.09127413307150792) q[5];
cx q[2], q[5];
ry(0.09127413307150792) q[5];
cx q[2], q[5];
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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIIZZII",
"IIIZZIZ",
"IIZIIZI",
"IZZIIII",
"ZIZIIII",
"ZZIIIII",
"ZZZIIII",
"IZIIZII",
"ZIIZIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
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,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25
] | 0.971484 | [
-1.505134990804261,
-0.18254826614301584,
1.5248550386083428,
-0.03839767417260796,
1.417504350103393,
0.9854096523880066,
-0.5343385890345632,
-0.5625052963746807,
0.13394661936504978,
0.07310273629638185,
0.1078849727528113,
-0.5444759194660239,
-0.4696532586096871,
-0.1666927772157234,
... | {
"n_parameters": 30,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 35 |
d535fd6dace549a08fd67ed2297bdcfa | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"s... | {"states": [8175, 8167], "expectation_value": -15.622423537171516, "params": [[[-1.0421, 2.1991], [0.0019, 0.9327000000000001], [-0.0029000000000000002, -0.0018000000000000002], [0.0028, -0.003], [0.0022, 0.0029000000000000002], [0.0022, 0.0016], [0.0021000000000000003, 0.0019], [-0.0024000000000000002, 0.0021000000000... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(9)) + -1.5 * (Z(10) @ Z(11)) + 0.5 * (Z(12) @ Z(11)) + -1.5 * (Z(12) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) ... | 15 | 13 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["0000000011000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
ry(0.18145808431936816) q[0];
h q[1];
h q[2];
ry(0.0607148262006527) q[2];
cx q[1], q[2];
ry(-0.0607148262006527) q[2];
cx q[1], q[2];
cx q[2], q[0];
ry(-0.18145808431936816) q[0];
cx q[2], q[0];
ry(1.2693983482880833) q[1];
cx q[0], q[1];
ry(-1.269398348288083... | 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": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIZZII",
"IIIIIIIIZZIII",
"IIIIIIIIZIZII",
"IIIIIIZZIIIII",
"IIIIIZZIIIIII",
"IIIIIZIZIIIII",
"IIIZZIIIIIIII",
"IZZIIIIIIIIII",
"ZZIIIIIIIIIII",
"ZIZIIIIIIIIII",
"IIIIIIIIIIIZI",
"IIIIIIIIIIIIZ",
"IIIIIIIIIZIII",
"IIIIIIIIIIZII",
"IIIIIIIIZIIII",
"IIIIIIZIIII... | [
-1,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5
] | 0.97045 | [
0.1214296524013054,
0.3629161686387363,
2.5387966965761666,
-0.26256496281494934,
0.6518110897749302,
3.577781617171848,
2.9764419880213318,
-1.5561946858574074,
2.2791739201457486,
1.2413041640066838,
-2.203733920109524,
-1.6136639826941186,
2.9632338396303926,
-0.02428257426691172,
0.0... | {
"n_parameters": 46,
"n_qubits": 13,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 239 |
fd959b015d7c5b50b2cd05831ed95a60 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [50, 44], "expectation_value": -0.12293923688952649, "params": [[0.0636], [-0.0521]], "bitstrings": ["001101", "010011"], "total_optimization_steps": 10, "probabilities": [0.016888803039765397, 0.017088471416208895], "optimization_time": 1.3921797275543213} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(5) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "010011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.2814273479283241) q[0];
cx q[5], q[0];
rz(0.988627421386453) q[0];
rx(-1.6100914394477277) q[0];
cx q[5], q[1];
rz(-0.2814273479283241) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.2814273479283241) q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[5... | null | {"circuits": [], "gradients": []} | [
"ZIIIIZ",
"ZIIIZI",
"ZIIZII",
"IIIZZI",
"ZIZIII",
"IIZIZI",
"IZIZII",
"IZZIII",
"ZIIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-1,
-1,
-0.5
] | 0.793132 | [
-0.2814273479283241,
-2.083999084261337,
0.9886274213864532,
-0.2943566891904666,
-0.17545221926890683,
-1.6100914394477277,
0.44025124807503524,
1.5189639182857877,
-0.6158615151039641,
-0.2722032415841509,
-0.7056736669533165
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 249 |
94b4685949b0232e6f45bdcd5b80e7ab | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [294, 358], "expectation_value": -2.1275638939927526, "params": [[[0.5916, -0.0199], [0.18080000000000002, -0.016900000000000002], [0.5975, 0.1242], [0.6038, 0.1265], [-0.1814, 0.1177], [0.038700000000000005, -0.4576], [0.37970000000000004, 0.6076], [0.5901000000000001, 0.5987], [0.5912000000000001, -0.0859]... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 15 | 9 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["100010011", "001011010", "011011000", "001010110", "010011001", "101010010"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.6003112138562008) q[0];
h q[1];
ry(1.5341979766004288) q[1];
ry(-3.0257311896122494) q[2];
rz(-pi) q[2];
cx q[1], q[2];
ry(-0.1006576401825402) q[2];
cx q[1], q[2];
ry(-0.00033704463714811367) q[1];
h q[3];
ry(1.3542772226348128) q[3];
ry(-0.07867566167356... | 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",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIZZIIIII",
"IIZZIIIIZ",
"IZIIIIIZI",
"IZIZIIIII",
"ZIIIIIZII",
"IIIIZZIII",
"IIZIIZIII",
"ZIIIIZIII",
"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
-0.125,
-0.125,
0.25,
-0.625,
-0.25,
... | 0.996853 | [
-1.6003112138562008,
-1.5712307081150918,
-1.4349152172149955,
1.5341979766004288,
1.3542772226348128,
-0.11441089581268042,
0.2013152803650804,
0.18845931115321368,
-0.11702323405277497,
-0.0006740892742962273,
-0.06790808289822309,
-0.07867789271409684,
0.01138260793953559
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
4ab3a9f98a5ea141820b159d6cb4ba53 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 1, ... | {"states": [127, 1], "expectation_value": -0.5882854007745819, "params": [[-0.0849], [0.07730000000000001]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.005351444465481105, 0.005731462729092626], "optimization_time": 4.637930870056152} | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(1) @ Z(5)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(1)) + 1.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(6) @... | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.0013706428279065723) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(-0.00010981936015503954) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.0013706428279065723) q[1];
cx q[4], q[1];
cx q[4], q[3];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIZZIIII",
"IIZIIIIZ",
"IIIZIIZI",
"IIZIIIZI",
"IIIZZIII",
"IIZIZIII",
"IIIIZIZI",
"ZIIIIIIZ",
"ZIZIIIII",
"ZIIIIIZI",
"IIIZIZII",
"IIIIIZZI",
"IZZIIIII",
"IZIIIZII",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"IIIIZIII",
"ZIIIIIII",
"IIIIIZII",
"IZIIIII... | [
-0.5,
-0.25,
-1,
-0.5,
-0.75,
-0.75,
-0.25,
-1,
1.75,
-0.75,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
1.5,
-0.25,
-2,
0.25,
-0.5,
0.75,
0.25,
0
] | 0.888779 | [
-0.0013706428279065723,
-0.00010981936015503954,
-0.34349356379920065,
0.00130053351478626,
-0.04402465492122473,
0.3214620856398223,
-1.3872688537466278,
1.3541775381691896,
1.2769370230312556,
0.2943504933839812,
-1.6935386960659888,
-0.0012981114320172187,
-0.0032326859986172365,
-1.409... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 500 |
836c884d7f0cabd4f561d6ff6961863c | 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": 2, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 4, "source": 1, ... | {"states": [0, 125], "expectation_value": -13.511351751517946, "params": [[[-0.0041, -0.0051], [-0.0036000000000000003, 1.6117000000000001], [0.0026000000000000003, 0.0027], [0.0026000000000000003, -0.0029000000000000002], [0.0027, 0.0027], [0.0025, 0.0021000000000000003], [0.4787, 0.0001], [-0.0019, -0.0011]], [[0.000... | -0.5 * (Z(0) @ Z(6)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -1.0 * (Z(4) @ Z(3)) + -1.75 * (Z(4) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(1)) + -1.25 * (Z(7) @ Z(4)) + -1.5 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(7)) + -0.75 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @... | 15 | 8 | 2 | {"smallest_eigenvalues": [-14.0, -14.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.0, "smallest_bitstrings": ["10000000", "10000010"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.0007449686660264999) q[0];
ry(0.09606353606685049) q[1];
ry(0.0006507474146606532) q[2];
ry(-0.021672324536409323) q[3];
ry(0.02495703531247307) q[4];
ry(-0.009483672816795088) q[5];
ry(0.10199381422246338) q[6];
ry(0.09246377246176307) q[7];
cx q[7], q[0];
cx q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IZIIIIIZ",
"IIIIZIZI",
"IZIZIIII",
"IIIZZIII",
"IIIZIIZI",
"ZIIIIIIZ",
"ZIIIIIZI",
"ZIIZIIII",
"IIIIIZZI",
"IIIZIZII",
"ZIIIIZII",
"IZZIIIII",
"IIZZIIII",
"IIZIIZII",
"IZIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIZIIII",
"ZIIIIIII",
"IIIIIZII",
"IIZIIIII"
] | [
-0.5,
-0.75,
-0.5,
-1,
-1.75,
0.75,
-1,
-1.25,
-1.5,
-1.25,
-1.25,
-0.75,
-1.75,
-0.5,
-0.75,
-0.25,
0.25,
0,
-0.5,
-2.75,
2,
2
] | 0.973359 | [
0.0007449686660264999,
0.09606353606685049,
0.0006507474146606532,
-0.021672324536409323,
0.02495703531247307,
-0.009483672816795088,
0.10199381422246338,
0.09246377246176307,
0.9196006079285015,
-0.18722588087365208,
0.03610809075229482,
-0.032238460983527326,
0.05443916473844061,
0.08398... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 16 |
fa12f3a697c97a90a7d75ad197dde7b9 | 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": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 5}]} | {"states": [22, 49], "expectation_value": -0.06202515197428636, "params": [[-0.0463], [0.056600000000000004]], "bitstrings": ["101001", "001110"], "total_optimization_steps": 10, "probabilities": [0.01644987110280313, 0.016449871102803132], "optimization_time": 0.9538674354553223} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["001110", "101001", "101010", "110010"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.135653907332281) q[0];
ry(0.07785783286395775) q[0];
rz(-2.461338086738153) q[0];
rz(2.429152376567284) q[1];
ry(0.2252425377262643) q[1];
rz(-1.0510731615663547) q[1];
rz(-1.956988573421869) q[2];
ry(0.14605112814072668) q[2];
rz(0.30051180833493296) q[2];
rz(-3.0... | 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[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(x0) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IIZIIZ",
"IIIZZI",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIZIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
0,
0,
0
] | 0.977057 | [
0.23599177523086315,
-0.24128829019517117,
0.08672641127394859,
0.5641813210321281,
0.02724449539707903,
-0.3809606943817887,
0.9600172844814231,
0.10376398558997606,
0.9072997747415072,
-0.031882398092854744,
0.9283660285539568,
-0.18778968286556685,
-0.0006073131649154268,
-0.03282407204... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 26 |
c513b3f9e92fab9360fc637fed72bb83 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 9}, {"capac... | {"states": [3, 1], "expectation_value": -0.14706638153619983, "params": [[-0.056400000000000006], [0.0587]], "bitstrings": ["1111111100", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.001179402528098473, 0.0012330717887591334], "optimization_time": 3.5466248989105225} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + 1.25 * (Z(9) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(9)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-10.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.2006787591129485) q[0];
rz(1.5111373121971567) q[0];
rx(0.008533205045735058) q[1];
rz(1.7868635420623642) q[1];
rx(-0.011585748536171918) q[2];
rz(1.5898520776238634) q[2];
rx(-0.08394752394391941) q[3];
rz(1.8689766124662555) q[3];
rx(0.008533205045735057) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[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... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"ZIIIIIIIIZ",
"IIIIIIIZZI",
"ZIIIIIIZII",
"IIIIZIIIZI",
"IIZIZIIIII",
"IIIIZIIZII",
"IIIZIIIIZI",
"IIZZIIIIII",
"IIZIIIZIII",
"IIIIIIZZII",
"IIIIZIZIII",
"IIIZIIZIII",
"IIZIIZIIII",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIIIZZIII",
"IZIIIIIZII"... | [
-0.5,
-0.5,
-0.5,
1.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
0.75,
1,
0,
-0.25,
-0.5,
-0.25,
0,
-0.25
] | 0.978625 | [
-0.20067875911294852,
-0.05965901459774062,
0.008533205045735057,
0.21606721526746786,
-0.01158574853617192,
0.019055750828967807,
-0.08394752394391941,
0.29818028567135796,
0.15390388893321932,
-0.012954804646189033,
0.37586173891171687,
-0.12008364184354088,
0.18731012752276124,
-0.13200... | {
"n_parameters": 124,
"n_qubits": 10,
"optimal_eigenvalue": -10.25,
"target_ratio": 0.97,
"target_value": -9.942499999999999
} | 8 |
ec471b6985489d774242f85569adf59b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 5... | {"states": [64, 63], "expectation_value": -0.2153907466587811, "params": [[-0.07300000000000001], [0.0674]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.009228854455877206, 0.009376975611227741], "optimization_time": 1.789376974105835} | -0.5 * (Z(0) @ Z(3)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(5)) + 0.75 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(4)) + 0.5 * Z(3) + -0.25 * Z(0) + 0.0 * Z(2) + -0.75 * Z(1) + -0.5 * Z(5) + 1.0 * Z(4) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.25, -5.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000", "1100000"], "largest_eigenvalue": 7.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.22626317840587773) q[0];
ry(-0.5184008335123981) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
ry(1.1401633959010897) q[3];
cx q[2], q[3];
ry(-1.1401633959010897) q[3];
cx q[2], q[3];
ry(1.0093741371010103) q[2];
cx q[3], q[2];
ry(-1.0093741371010103) q[2];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIIZZII",
"IIIIZZI",
"IZIZIII",
"IZIIZII",
"IIZIIZI",
"IZZIIII",
"ZIIIIIZ",
"ZIZIIII",
"IIIZIII",
"IIIIIIZ",
"IIIIZII",
"IIIIIZI",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
-0.5,
-1,
-0.25,
-0.5,
-0.25,
-0.5,
-1.25,
0.75,
-0.75,
0.5,
-0.25,
0,
-0.75,
-0.5,
1,
0
] | 0.970102 | [
-0.1900303620413008,
2.2803267918021795,
1.1256654437583153,
2.0187482742020206,
1.6434168369096631,
1.8426328371418002,
-0.45252635681175546,
0.08217158641126696,
-0.8455112738086743,
-0.4137684389476487,
0.288434515948629,
-1.303737398731056,
-0.011656880147209253,
0.1711251505104498,
... | {
"n_parameters": 32,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 99 |
c8cc4a98ae2322198d431f79e7c08f2a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [725, 757], "expectation_value": -1.7474734269465688, "params": [[0.3166, 1.5863, -0.005, 1.1925000000000001, 0.3699, 0.0074, 1.5743, 0.1709, 1.5898, 0.42450000000000004, 1.3606], [0.15940000000000001, 1.5772000000000002, 0.8175, 1.5904, 1.6004, 1.5956000000000001, 1.5795000000000001, 0.7874, 1.4636, 0.7508,... | 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)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(5) @ Z(6) @ Z(7)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(2) @ Z(8)) + 0.25 * (Z(5) @ Z(8)) + -0.25 * (Z(5) @ Z(2) @ Z(8)) ... | 10 | 11 | 1 | {"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, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -2.25, "smallest_bitstrings": ["10001110000", "01010100001", "0... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.24612231245573826) q[0];
cx q[5], q[0];
h q[6];
cx q[5], q[6];
rz(0.24612231245573826) q[6];
cx q[5], q[6];
cx q[0], q[6];
cx q[5], q[4];
rz(0.24612231245573826) q[4];
cx q[5], q[4];
rz(-0.1913778146072... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIIZZZII",
"IIIIZZIIIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IIIZZZIIIII",
"IIIIIZIIZII",
"IIZIIIIIZII",
"IIZIIZIIIII",
"IIZIIZIIZII",
"IIIIZIIZIII",
"IIZIIIIZIII",
"IZIIIIIZIII",
"IIZIZIIIIII",
"IZIIZIIIIII",
"IZZIIIIII... | [
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,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
... | 0.761448 | [
0.24612231245573826,
-0.19137781460726216,
-0.09094711496822111,
-1.8489186511947862,
-1.174023312528797,
2.5565392467270445,
-5.333069231018104,
-2.672371264963156,
-5.166443738452216,
-0.5496848238765973
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 425 |
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