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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
a6da0588e4f06076b5c2f06ef98c16c3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 5}, {"weight": 18, "source": 1, "target": 3}, {"weight": 10, "source": 2, "target": 3}, ... | {"states": [187, 109], "expectation_value": -12.767887662679994, "params": [[0.038400000000000004, 0.029], [-0.052700000000000004, -0.058600000000000006]], "bitstrings": ["01000100", "10010010"], "total_optimization_steps": 10, "probabilities": [0.009227379647626878, 0.009991545043276987], "optimization_time": 4.033044... | 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(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 5.0 * Z(0) + 13.0 * Z(2) + 9.0 * Z(3) + 12... | 1 | 8 | 2 | {"smallest_eigenvalues": [-58.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -52.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 135.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.6893829270649235) q[0];
rz(-0.15246847792251517) q[0];
rx(0.8054746318133343) q[1];
rz(-0.1838163856781594) q[1];
rx(0.4051055585965716) q[2];
rz(-0.22350801436726764) q[2];
rx(0.0026468023417618863) q[3];
rz(0.4052824277792104) q[3];
rx(-0.3718109169788402) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11,
5,
13,
9,
12.5,
16,
12.5,
8
] | 0.983472 | [
0.6893829270649237,
-0.15421740938566555,
0.8054746318133343,
-0.21500998908504157,
0.40510555859657166,
-0.1561534392208339,
0.0026468023417618863,
0.26630454616751786,
-0.37181091697884017,
-0.029580537836861695,
-0.013845030580932005,
0.086408608200701,
0.9631530342970905,
0.09314220419... | {
"n_parameters": 69,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 12 |
6d7e5c7b3f86be8f7eca13c50e6c3de8 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [14, 7], "expectation_value": -12.718128961070258, "params": null, "bitstrings": ["1110001", "1111000"], "total_optimization_steps": 66, "probabilities": [0.10584323864462455, 0.6130206780999486], "optimization_time": 83.84841442108154} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 16 | 7 | 2 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
rz(-1.5707963530338787) q[0];
rx(1.5707962896601955) q[0];
h q[1];
rz(2.6179939068628233) q[1];
rx(1.5707962896601952) q[1];
h q[2];
rz(1.570796224356533) q[2];
rx(1.5707962896601952) q[2];
h q[3];
rz(2.6179939068628233) q[3];
rx(1.5707962896601952) q[3];
h q[4]... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
-3.25,
-3.75,
-3.25,
-3.25,
-3,
-2.75,
-2.75
] | 0.84375 | [
9.350486944272168e-10,
1.570796358080628,
-1.5707963530338784,
2.6179939068628233,
1.5707962243565334,
1.5707962896601955
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 161 |
73f8d096eebce42cb2ce2196fe35b2f1 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"sour... | {"states": [262, 270], "expectation_value": -6.07189017129107, "params": [0.502, 0.5059, 0.2827, 0.2837, 0.0025, -0.0011, -0.0056, 0.0006000000000000001, -0.0043, -0.0073, 0.459, 0.4489, 0.5028, 0.5032, 0.4514, 0.4429, 0.009600000000000001, -0.0001, 0.5068, 0.5012, 0.2843, 0.2918, 0.0009000000000000001, -0.0002, -0.001... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) ... | 14 | 9 | 2 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["011110001", "001110101"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.8769172051842202) q[0];
rz(pi/2) q[0];
ry(0.1468369855382988) q[1];
ry(0.0014414522542734592) q[2];
ry(0.009119560735663751) q[3];
ry(-0.027485162767729086) q[4];
ry(0.7447061987155419) q[5];
ry(0.6536954966954418) q[6];
ry(0.8307496946664525) q[7];
ry(-0.040117763... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIZIIIZ",
"IIZIIIIZI",
"IIIIIZZII",
"IIZIIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIIZIIZII",
"IZIIIZIII",
"IZIIZIIII",
"IZIIIIZII",
"ZIZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIZIIIIII",
"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,
-2,
-0.5,
-1.5,
-1,
0,
-2,
-1.5,
-1.5,
-1.5
] | 0.972113 | [
0.8769172051842202,
0.1468369855382988,
0.0014414522542734592,
0.009119560735663751,
-0.027485162767729086,
0.7447061987155419,
0.6536954966954418,
0.8307496946664525,
-0.04011776321855806,
0.47037281521093643,
0.23228834132580525,
0.6183282217479945,
-0.055972542613884964,
0.6125513026001... | {
"n_parameters": 70,
"n_qubits": 9,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 17 |
5034f358b60bb2416ead39a148c379a9 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "so... | {"states": [18, 20], "expectation_value": -3.5110075637452614, "params": [0.2308, -0.0765, 0.006, 0.22690000000000002, 0.0022, 0.3044, 0.0017000000000000001, 0.2844, 0.0038, 0.2914, 0.4053, 0.002, 0.0009000000000000001, 0.3133, 0.3946, 0.1754, 0.3935, 0.12350000000000001, 0.004200000000000001, -0.2978, 0.2349, -0.0761,... | 0.5 * (Z(6) @ Z(9)) + -0.5 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @ Z(6)) + -0.5 * (Z(4) @ Z(9)) + -1.0 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + -1.0 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + -0.5... | 18 | 10 | 4 | {"smallest_eigenvalues": [-4.999999999999999, -4.999999999999999, -4.999999999999999, -4.999999999999999, -4.999999999999999, -4.999999999999999], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.666666666666666, "smallest_bitstrings": ["1111101011", "1111000011", "1111000101", "1110100011", "1110100101"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.14975641425785782) q[0];
rz(-0.24066575353239905) q[0];
rx(-0.029767164686135283) q[1];
rz(0.3653588270419897) q[1];
rx(0.3317262262044513) q[2];
rz(0.5082732848714967) q[2];
rx(-0.15126513794220642) q[3];
rz(-0.4534054877104098) q[3];
rx(-0.15126513794220642) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"ZIIZIIIIII",
"ZIIIIIZIII",
"IIIZIIZIII",
"ZIIIIZIIII",
"IIIZIZIIII",
"IIIIIZZIII",
"ZIIIZIIIII",
"IIIZZIIIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIZZIIIIII",
"IIZIIIZIII",
"IIZIIZIIII",
"IZIZIIIIII",
"IZIIIIZIII",
"IZIIIZIIII",
"IZZIIIIIII",
"ZIIIIIIIIZ",
"IIIIZIIIIZ",
"IIIIIIIZZI"... | [
0.5,
-0.5,
-1,
-0.5,
-1,
1,
-1,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
0.5,
-0.16666666666666666,
-1,
0,
0,
0,
1,
0.5,
0.5,
0.33333333333333337,
-0.3333333333333333,
-0.3333333333333333
] | 0.971455 | [
-0.14975641425785782,
-0.11209317022898643,
-0.029767164686135283,
0.3653588270419897,
0.3317262262044513,
0.5082732848714967,
-0.15126513794220642,
-0.4534054877104098,
-0.5290115692496197,
3.337196961070229,
0.5105458374502797,
-0.0002835019568109137,
0.29026291769365165,
2.8482360447786... | {
"n_parameters": 29,
"n_qubits": 10,
"optimal_eigenvalue": -4.999999999999999,
"target_ratio": 0.97,
"target_value": -4.849999999999999
} | 30 |
d2e3f71e5c020057da0dd1812bdf6517 | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 20, "source": 0, "target": 2}, {"weight": 6, "source": 1, "target": 2}, {"weight": 15, "source": 1, "target... | {"states": [1, 9], "expectation_value": -0.9869666840725677, "params": [0.2932, 0.011300000000000001, 0.2909, 0.0244, 0.0974, 0.11370000000000001, 0.0969, 0.11230000000000001, 0.1068, 0.1174, 0.10890000000000001, 0.1154, 0.2904, 0.015700000000000002, 0.2869, 0.025400000000000002, 0.2866, 0.0472, 0.2903, 0.0429, 0.0994,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) | 5 | 4 | 4 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": 0.0, "smallest_bitstrings": ["1001", "0110"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.1661276350304126) q[0];
rz(0.1368317091350482) q[0];
ry(0.04120953092979138) q[1];
rz(0.6237278116787298) q[1];
cz q[1], q[0];
ry(0.8639209804903288) q[0];
rz(-0.20514548926058004) q[0];
ry(0.1701074616062198) q[1];
ry(0.11262869094573309) q[2];
rz(0.3181473576708... | 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[... | {"start_node": 0, "end_node": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZIZ",
"ZIZI",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0
] | 0.975208 | [
1.1661276350304126,
0.1368317091350482,
0.04120953092979138,
0.6237278116787298,
0.11262869094573309,
0.3181473576708103,
0.734978694415438,
-0.2651028550205645,
-0.11298443044296277,
-0.5003240831397697,
0.31670140934387114,
0.2559084340847741,
0.0720191758938528,
0.2177008887266607,
0.... | {
"n_parameters": 181,
"n_qubits": 16,
"optimal_eigenvalue": -13.999999999999932,
"target_ratio": 0.97,
"target_value": -13.579999999999934
} | 75 |
a3571c19d72a014065614d323aff3379 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [4, 5], "expectation_value": -1.942881812187279, "params": [-0.0025, 0.0058000000000000005, -0.0026000000000000003, 0.0076, 1.496, 0.0047, 1.7023000000000001, 0.0074, -0.0026000000000000003, 0.0014, 1.6328, 0.0015, 0.0022, 0.0039000000000000003, 0.009000000000000001, 0.0045000000000000005, 0.0061], "bitstrin... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + -0.125 * (Z(1) @ 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(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(5... | 3 | 6 | 1 | {"smallest_eigenvalues": [-2.875, -2.875], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.875, "smallest_bitstrings": ["110011", "111010"], "largest_eigenvalue": 5.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.362712956693458) q[0];
h q[1];
ry(-0.362712956693458) q[1];
h q[2];
ry(-0.362712956693458) q[2];
h q[3];
cx q[3], q[2];
ry(0.362712956693458) q[2];
cx q[3], q[2];
ry(-0.8545707286531208) q[2];
ry(1.2709249526324335) q[3];
h q[4];
cx q[4], q[0];
ry(0.362712... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIZZI",
"IIZIZI",
"IIIIZZ",
"IIZZII",
"IIIZIZ",
"IIZIIZ",
"IIZZZI",
"IIIZZZ",
"IIZIZZ",
"IIZZIZ",
"IIZZZZ",
"ZIIZII",
"IZZIII",
"ZIZIII",
"ZZIIII",
"ZZZIII",
"IIIIZI",
"IIIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII"
] | [
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,
-0.625,
-0.75,
-0.25
] | 0.975572 | [
-0.725425913386916,
1.0706273462922709,
1.3425111777435603,
0.63039906660102,
-0.680705231014584,
-0.40156305610165266,
-0.260757100747384,
0.5178049646920392,
0.4005952126803254,
-0.5439106489094752,
0.08432570462335529,
-0.40927439929699994,
-0.3477309952770732,
0.042917048675201463,
-... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 20 |
d7d01055332214989e6d0d1158e981dc | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2... | {"states": [0, 63], "expectation_value": -3.0970984105800268, "params": [[-0.0664, -0.0746], [0.0745, 0.07060000000000001]], "bitstrings": ["1111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.016882488728759054, 0.020883814098736818], "optimization_time": 2.9028782844543457} | -0.25 * (Z(0) @ Z(1)) + -1.75 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -0.25 * Z(1) + -0.25 * Z(0) + 3.25 * Z(3... | 1 | 7 | 2 | {"smallest_eigenvalues": [-12.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 20.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(0.056065987942702615) q[0];
ry(0.04731444554150925) q[1];
ry(0.13965633326414878) q[2];
ry(-0.09162924285059836) q[3];
ry(0.0747152677173499) q[4];
ry(1.6747361148983202) q[5];
ry(0.1222992208446019) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIZIII",
"IIIIZZI",
"IIZIZII",
"IZIZIII",
"ZZIIIII",
"IZIIZII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIZII",
"IIZIIII",
"IZIIIII"
] | [
-0.25,
-1.75,
-1.5,
-1,
2,
-1.5,
-0.75,
-0.5,
-1.5,
-1.75,
-1.75,
-1.5,
-0.25,
-0.25,
3.25,
-2.25,
1.5,
1,
-3
] | 0.971776 | [
0.056065987942702615,
0.04731444554150925,
0.13965633326414878,
-0.09162924285059836,
0.0747152677173499,
1.6747361148983202,
0.1222992208446019,
-0.027802478358916687,
-0.010982101536667798,
0.010716214130102548,
-0.003013292790767912,
-0.15205972769084672,
-0.06415202441498268,
0.0172702... | {
"n_parameters": 35,
"n_qubits": 7,
"optimal_eigenvalue": -12.75,
"target_ratio": 0.97,
"target_value": -12.3675
} | 39 |
-2734888469241241909 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 3], [0, 5], [4, 6], [3, 4], [0, 1], [1, 3], [2, 4], [1, 4], [1, 2]]} | {"states": [59, 27], "expectation_value": -2.2396386901733893, "params": null, "bitstrings": ["1000100", "1100100"], "total_optimization_steps": 53, "probabilities": [0.21403402388991677, 0.5509751428581608], "optimization_time": 51.055187940597534} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.5, "smallest_bitstrings": ["0011011", "1000100", "1100100", "0101011", "1010100", "0111011", "0100110", "1011001"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.024098191269280936) q[0];
rz(0.10524355101333904) q[0];
rx(3.067480798899388) q[1];
rz(-2.4795487615594722) q[1];
rx(1.4157644610210667) q[2];
rz(-1.2341834220046084) q[2];
rx(3.36051929023539) q[3];
rz(-1.2341834220046084) q[3];
rx(0.14671254289912325) q[4];
rz(0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIIZIIZ",
"IZIIIIZ",
"IIZZIII",
"ZIZIIII",
"IIIZIZI",
"IIIIIZZ",
"IIZIIZI",
"IIZIZII",
"IIIIZZI",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII"
] | [
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
] | 0.98536 | [
-0.024098191269280936,
0.10524355101333904,
3.067480798899388,
-2.4795487615594722,
1.4157644610210667,
-1.2341834220046084,
3.36051929023539,
0.14671254289912325,
0.6324692582136666,
3.1755019404194624,
2.7242921554374817,
2.9709060603581516,
1.1094108561068616
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 33 |
23529db270bae4def52806aeae1d449e | 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": 5}, {"source": ... | {"states": [0, 1019], "expectation_value": -8.956357548775857, "params": [0.4335, 0.2341, 0.0292, -0.0241, -0.5943, 1.2038, 0.23140000000000002, 1.093, -0.7036, 0.744, 0.5822, 0.931, -0.6533, 1.0230000000000001, 0.2154, 1.19, -0.7431, 0.8077000000000001, 0.1899, 0.9206000000000001, -0.6993, 0.8753000000000001, 0.134700... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(9) + 0.5 * Z(8) + 0.5 * Z(2) ... | 6 | 10 | 3 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["0000000100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.098453448754568) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(1.098453448754568) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2207382026687572) q[1];
rx(0.9638634016974083) q[1];
rz(1.098453448754568) q[3];
cx q[0], 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] 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",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIZZIIII",
"ZZIIIIIIII",
"ZIIIIIIZII",
"IZIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIIZIIII",
"IIIIZIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIIIIIZII",
"IIZIIIIIII"
] | [
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.542896 | [
1.098453448754568,
0.22073820266875738,
1.5707963046385156,
0.9638634016974083
] | {
"n_parameters": 4,
"n_qubits": 10,
"optimal_eigenvalue": -14.5,
"target_ratio": 0.97,
"target_value": -14.065
} | 124 |
425807238b86c6dbc6f839c9365889dc | 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": [126, 103], "expectation_value": -65.44266975763553, "params": [[[0.3164, 0.3492], [0.3665, 0.016300000000000002], [0.4434, 0.6644], [0.3382, 0.9919], [-0.018500000000000003, 0.9582], [0.22190000000000001, 0.0167], [0.26830000000000004, 0.8127000000000001], [0.5192, 0.7793], [0.7578, 1.0023]], [[1.0, 0.56780... | 7.0 * (Z(0) @ Z(3)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(1) @ Z(3)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(5) @ Z(2)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(4) @ Z(8)) + 17.0 * Z(3) + -6.5 * Z(0) + 23.0 * Z(2) + 10.5 * Z(1) + 2.5 * Z(5) + 10.0 * Z(6) + 5.5 * Z(7) + 7.0 ... | 15 | 9 | 3 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -83.5, "smallest_bitstrings": ["110011000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.2311410779818244) q[0];
ry(0.010609029193452132) q[1];
ry(0.7034232486797605) q[2];
ry(0.5492416235993619) q[3];
ry(0.10162695687647323) q[4];
ry(-0.01678036468481043) q[5];
ry(0.038901286733322785) q[6];
ry(0.13051711390699283) q[7];
ry(0.3529679213966615) 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": []} | [
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIIIZZI",
"IIIZIIZII",
"IIZIIIZII",
"IIZZIIIII",
"IZIIIIIZI",
"ZZIIIIIII",
"ZIIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIZIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
17,
-6.5,
23,
10.5,
2.5,
10,
5.5,
7,
-3.5
] | 0.970177 | [
0.2311410779818244,
0.010609029193452132,
0.7034232486797605,
0.5492416235993619,
0.10162695687647323,
-0.01678036468481043,
0.038901286733322785,
0.13051711390699283,
0.3529679213966615,
0.021789278224117435,
0.1092406277989576,
0.4165264932287707,
0.4668952442575998,
0.13806618605433674,... | {
"n_parameters": 53,
"n_qubits": 9,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 65 |
5bfd79024282ae69c62758a244a2de56 | kclique | 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": 5}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [42, 7], "expectation_value": -6.490432948929556, "params": [[[1.5434, -0.0037], [0.7453000000000001, 0.0009000000000000001], [1.9787000000000001, 0.1341], [0.0392, 1.8531000000000002], [1.1622000000000001, 1.0915000000000001], [0.016, 1.0568]], [[0.031900000000000005, 1.4195], [0.8098000000000001, 1.5661], ... | 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)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 1.75 * (Z(5) @ Z(3)) + 1.75 * ... | 15 | 6 | 2 | {"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(3.040705587759774) q[0];
ry(3.0322761206209288) q[0];
rz(0.23746657912877067) q[0];
rz(-0.5485384081350269) q[1];
ry(0.03463465039766057) q[1];
rz(1.8086014627808424) q[1];
rz(2.1740019225107847) q[2];
ry(2.742027400286282) q[2];
rz(-0.45482682963069987) q[2];
rz(0.8... | 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[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
2,
2,
2,
2,
2,
2,
2,
1.75,
2,
1.75,
1.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
-0.75
] | 0.974004 | [
1.0529037450256176,
0.06477150500217821,
0.0632023087334098,
0.46017332254292537,
1.2192432119969236,
0.14088225722938502,
1.1314918741657554,
-0.05745195682464036,
-0.04240668812804869,
-0.5477397576739919,
-0.046155027306700576,
-0.6332603826055265,
1.1415462481792484,
-0.100403553526293... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 15 |
1851784417460130467 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1], [3, 6], [3, 4], [1, 6], [5, 6], [1, 2]]} | {"states": [90, 42], "expectation_value": -2.6416728426083287, "params": null, "bitstrings": ["0100101", "1010101"], "total_optimization_steps": 44, "probabilities": [0.03200288462013109, 0.7935437258684176], "optimization_time": 42.010355949401855} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["1010101", "0101010"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6217712934074061) q[0];
h q[1];
h q[2];
ry(-0.20803719919675712) q[2];
cx q[1], q[2];
ry(0.20803719919675712) q[2];
cx q[1], q[2];
ry(1.4272811154678733) q[1];
cx q[1], q[0];
ry(0.6217712934074061) q[0];
cx q[1], q[0];
ry(-0.19906467481395643) q[0];
ry(0.1... | 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];\ncry(-1.0342) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIIIIZZ",
"ZIIIIZI",
"ZIIZIII",
"IIZZIII",
"ZZIIIII",
"IIIIZZI",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.974955 | [
-0.41607439839351423,
1.4272811154678733,
-1.2435425868148122,
-0.3386511029586883,
-0.202855002343371,
1.407404543094607,
1.274497300279742,
-0.8323829956798491,
-1.0676965863510606,
0.24318080396925412,
0.18226711229653947,
0.3997163782775889,
-0.3599445619520917,
-0.5691586021510886,
... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 19 |
06224520ded029e940b1fde3f5ab3e3b | 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": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 3}, {"source": 3, "target": 5}]} | {"states": [56, 7], "expectation_value": -1.5910977591723132, "params": [[-0.062200000000000005], [0.07100000000000001]], "bitstrings": ["000111", "111000"], "total_optimization_steps": 10, "probabilities": [0.01966835639797505, 0.019959864474911618], "optimization_time": 2.1674046516418457} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (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": [-7.5], "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;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4604609545342588) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.4604609545342588) q[1];
cx q[0], q[1];
rz(-0.5961919399360327) q[0];
rx(-0.8240718412880712) q[0];
cx q[3], q[2];
rz(0.4604609545342588) q[2];
cx q[3], q[2];
h... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
2,
2,
2,
2,
2,
1.75,
2,
1.75,
2,
2,
1.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5
] | 0.720304 | [
0.4604609545342588,
-1.0130158982300328,
-0.5961919399360321,
0.10159268481627397,
-0.8240718412880712,
1.653056793347183,
-2.4998589588665014,
-1.3174178256009759,
-0.48477462442147073
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 246 |
a8af5a844c6b7264f669c1b8b9005a26 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 8}, {"capacity": 6, "source": 2, "target": 8}, {"capacity": 1, "source": 3, "target": 1}, {"capacity": 2, "s... | {"states": [99, 255], "expectation_value": -0.39428276219090086, "params": [[0.051000000000000004], [-0.0398]], "bitstrings": ["110011100", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0022482294050231288, 0.0022578334201833403], "optimization_time": 2.0884013175964355} | 0.25 * (Z(0) @ Z(8)) + -1.5 * (Z(2) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.5 * (Z(6) @ Z(4)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(4)) + -0.75 * (Z(7) @ Z(8)) + -1.5 * (Z(7) @ Z(2)) + -2.0 * Z(8) + -0.25 * Z(0) + -0.5 * Z(2) + 0.75 * Z(3) + -3.25 * Z(1) + 1.0 * Z(4) + -0.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-9.75, -9.75, -9.75, -9.75, -9.75, -9.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -8.75, "smallest_bitstrings": ["100000000", "110011100", "110010100", "110000100", "110000000", "100000100"], "largest_eigenvalue": 17.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.505009769555469) q[0];
h q[1];
ry(-1.6077441895945872) q[1];
h q[2];
ry(0.8284337385535052) q[2];
h q[3];
ry(0.7864209970508521) q[3];
h q[4];
ry(0.7766345099630225) q[4];
h q[5];
ry(0.8161067009306773) q[5];
h q[6];
h q[7];
ry(1.5259056825138972) q[7];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"ZIIIIIIIZ",
"ZIIIIIZII",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIIZI",
"IIZIZIIII",
"IIIZIIIZI",
"IIIZZIIII",
"ZZIIIIIII",
"IZIIIIZII",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII"
] | [
0.25,
-1.5,
-0.5,
-0.25,
-1.5,
-0.5,
-1.5,
-1,
-0.75,
-1.5,
-2,
-0.25,
-0.5,
0.75,
-3.25,
1,
-0.5,
2.5,
2.25
] | 0.976042 | [
-1.6077441895945872,
1.5259056825138972,
1.6568674771070104,
1.6322134018613546,
1.5728419941017042,
1.553269019926045,
-1.010019539110938,
0.37603075659380614,
0.32506128830629594,
0.7422913414550457,
-0.5336589698862334,
-0.18940705976798117,
0.2422029102598407,
0.005366032189264451,
0... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 1 |
9c58c5b77a3170e613a26f379fffeef6 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [49, 25], "expectation_value": -3.996464085561465, "params": null, "bitstrings": ["001110", "100110"], "total_optimization_steps": 23, "probabilities": [0.06634840431890607, 0.9303662506161934], "optimization_time": 17.769349098205566} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + 0.0 * Z(1) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001110", "100110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.30035957140227065) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.30035957140227065) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.30035957140227065) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.30035957140227065) q[3];
cx q[1], ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IIZIZI",
"ZIZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1,
0,
-0.5
] | 0.970623 | [
-0.30035957140227065,
1.1368758079646883,
-1.8923990284899774,
1.0436850348571591,
1.415620980349364,
-0.5091827167950427,
1.4790986719477293,
0.8820371628830349,
0.46473221419256594,
-0.15090594742638722,
0.055618018346008394,
0.32882508347878925,
-0.3312498441524585,
-0.09748772199396417... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 54 |
-1883348412401051560 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2], [5, 6], [4, 5, 7], [2, 3], [0, 4], [1, 3], [0, 2, 7]]} | {"states": [197, 149], "expectation_value": -0.0312716663891686, "params": [[-0.048], [0.0539]], "bitstrings": ["00111010", "01101010"], "total_optimization_steps": 10, "probabilities": [0.004068809406011837, 0.004068809406011838], "optimization_time": 0.6056363582611084} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.16666666666666666 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.166666666666667, -2.166666666666667, -2.166666666666667, -2.166666666666667, -2.166666666666667, -2.166666666666667], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.833333333333334, "smallest_bitstrings": ["00101010", "10010100", "11010100", "00111010", "01101010", "1100010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(1.1289804725540924) q[1];
h q[2];
h q[3];
ry(-0.24137298263943857) q[3];
cx q[2], q[3];
ry(0.24137298263943857) q[3];
cx q[2], q[3];
ry(-0.4353424295141564) q[2];
cx q[1], q[2];
ry(0.4353424295141564) q[2];
cx q[1], q[2];
ry(0.26319588990701415) q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[6], q[5];
rz(x0) q[5];
cx q[6], q[5];
cx q[5], q... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IZZIIIII",
"IIZZIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZIIZIIII",
"IIIIZZII",
"IIIIZIZI",
"IIIIIZIZ",
"IIIZIIIZ",
"ZIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IZIIIIII",
"IIZIIIII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII",
"IIIIIIIZ"
] | [
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666652,
0,
0,
0.16666666666666663,
0.16666666666666663,
0.3333333333333333,
0,
0.16666666666666663
] | 0.976403 | [
1.3134712145933218,
-0.48274596527887714,
0.6996621896057089,
-0.6303713860835374,
0.6394630033662189,
-0.5476187068948086,
0.8259828182003657,
1.1289804725540924,
-0.8706848590283128,
0.5263917798140283,
-0.6878623677829241,
0.4433935616589784,
-0.4436825467899557,
-0.5916337559141445,
... | {
"n_parameters": 41,
"n_qubits": 8,
"optimal_eigenvalue": -2.166666666666667,
"target_ratio": 0.97,
"target_value": -2.101666666666667
} | 16 |
90b952fb961a71c766735ab6825a9e54 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "ta... | {"states": [104, 126], "expectation_value": -11.08155768929892, "params": null, "bitstrings": ["0010111", "0000001"], "total_optimization_steps": 80, "probabilities": [0.07392262590651255, 0.6025118521067486], "optimization_time": 129.30827021598816} | -2.0 * (Z(0) @ Z(1)) + -2.5 * (Z(5) @ Z(1)) + -2.0 * (Z(5) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 1.0 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(5)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["0000001"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.7211230628791996) q[0];
cx q[1], q[0];
rz(-0.16398683328915897) q[0];
rx(-0.9929455926320968) q[0];
rz(-0.16398683328915897) q[1];
rx(-0.9929455926320968) q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[2];
rz(-0.86786583963... | null | {"node": 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];\ncry(1.5708) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... | [
"IIIIIZZ",
"IZIIIZI",
"IZIIIIZ",
"IIIZIZI",
"IIIZIIZ",
"IZIZIII",
"IZIIZII",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IZZIIII",
"IIZZIII",
"IIZIZII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIZII",
"IIZIIII",
"ZIIIIII"
] | [
-2,
-2.5,
-2,
-2.5,
0.5,
1,
0.5,
0.5,
1,
0.5,
-3,
-2.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.615579 | [
-1.7211230628791996,
-0.8678658396371202,
-0.035450998169681405,
-0.1639868332891589,
-0.3487434617976659,
-0.6176749491402016,
-1.1983287456980083,
-0.4467494502468582,
-0.9929455926320968
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 223 |
ee1205bd74dfee0fb5e9d23196a23f92 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": ... | {"states": [583, 1015], "expectation_value": -14.771873400783974, "params": null, "bitstrings": ["0110111000", "0000001000"], "total_optimization_steps": 100, "probabilities": [0.09303977620326323, 0.3888881296291944], "optimization_time": 254.17799043655396} | -3.0 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -3.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + -2.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + -2.5 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -1.5... | 1 | 10 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["0000001000"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.7962403133885255) q[0];
h q[1];
h q[2];
h q[3];
ry(0.8089387154435163) q[3];
h q[4];
ry(0.7237587183452996) q[4];
cx q[1], q[4];
ry(-0.7237587183452996) q[4];
cx q[1], q[4];
cx q[4], q[0];
ry(-0.7962403133885255) q[0];
cx q[4], q[0];
ry(1.4801087463420552)... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIZIZII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIZIIZII",
"IZZIIIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII"... | [
-3,
1,
-2,
-3,
-2.5,
-2.5,
-2.5,
0.5,
0.5,
-2.5,
1,
0.5,
-2.5,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.942394 | [
1.4475174366905992,
1.592480626777051,
2.9602174926841105,
-0.14463068272393667,
-1.5090937871046832,
1.6178774308870325,
-0.036205434217742416,
0.01579664382921674,
0.000443171266474144,
0.12444997267441851,
-0.03292440636448059,
0.09418077449847315,
0.5858072604757351,
-0.002196386165572... | {
"n_parameters": 70,
"n_qubits": 10,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 500 |
cbd7ab088c541541ce228c57ff45254d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target":... | {"states": [0, 496], "expectation_value": -19.303689006769165, "params": [[[0.0024000000000000002, 0.0005], [0.0023, 0.0029000000000000002], [0.0022, 0.0006000000000000001], [0.0021000000000000003, 0.0001], [1.6114000000000002, 0.0098], [0.0022, 0.0018000000000000002], [0.0023, 0.0058000000000000005], [0.0028, 0.0061],... | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(4)) + -2.5 * (Z(5) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + -2.5 * (Z(8) @ Z(5)) + -2.5 * (Z(6) @ Z(7)) + 1.0 * (Z(6) @ Z(5)) + -2.... | 2 | 9 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["000001111"], "largest_eigenvalue": 23.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.03393591820247379) q[0];
rz(0.1331853953737189) q[0];
rx(0.006609519266511793) q[1];
rz(-0.13814154024949898) q[1];
rx(0.011121208018633208) q[2];
rz(-0.1482307117149205) q[2];
rx(-0.07083453174811148) q[3];
rz(-0.394952448090268) q[3];
rx(2.6289166677302624) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZIIZI",
"IZIZIIIII",
"ZZIIIIIII",
"ZIIZIIIII",
"IZZIIIIII",
"IIZZIIIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIZIIII",
"IIIIIIIZI",
"IZIIIIIII",
"... | [
-2,
-2,
-2,
-2.5,
-2.5,
1,
0.5,
0.5,
-2,
-2.5,
1,
-2.5,
-2.5,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
1,
1
] | 0.981144 | [
0.03393591820247379,
0.1331853953737189,
0.006609519266511793,
-0.13814154024949898,
0.011121208018633208,
-0.1482307117149205,
-0.07083453174811148,
-0.394952448090268,
2.6289166677302624,
-0.3797159925983019,
0.07509059490101919,
-0.21600807749711026,
0.012985302889803742,
0.044833135260... | {
"n_parameters": 16,
"n_qubits": 9,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 10 |
087038e9edc1ea672825729ff4eba005 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6... | {"states": [32703, 32575], "expectation_value": -13.30189610763017, "params": [[0.15080000000000002, 0.023100000000000002, -0.0172], [-0.1642, -0.1489, -0.1463]], "bitstrings": ["000000001000000", "000000011000000"], "total_optimization_steps": 20, "probabilities": [0.0013334750095985084, 0.0014365114127782405], "optim... | 0.5 * (Z(9) @ Z(11)) + 1.0 * (Z(12) @ Z(11)) + 0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(10) @ Z(11)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(12)) + -0.5 * (Z(0) @ Z(9)) + -0.5 * (Z(0) @ Z(10)) + -1.0 * (Z(1) @ Z(9)) + -1.0 * (Z(1) @ Z(10)) + 0.9090909090909091 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(9)) + -0.5 * (Z(2) @ Z(10)) + 0... | 1 | 15 | 3 | {"smallest_eigenvalues": [-20.272727272726836], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999627, "smallest_bitstrings": ["000000011000000"], "largest_eigenvalue": 36.909090909090814} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(2.8614287082955054) q[0];
rz(-0.4707583099811581) q[0];
rx(3.4155641567142934) q[1];
rz(0.7617627833178526) q[1];
rx(3.355608374216573) q[2];
rz(-0.7114090480604071) q[2];
rx(3.1031710721717287) q[3];
rz(-1.6856091863259048) q[3];
rx(3.298981659218298) q[4];
rz(-0.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIZIIIIIIIII",
"IIZZIIIIIIIIIII",
"IIZIIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"IIIIZZIIIIIIIII",
"IIZIZIIIIIIIIII",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIIZ",
"IIIIIZIIIIIIIZI",
"IIIIZIIIIIIIIZI",
"IIIIIIIIIIIIIZZ",
"IIIIIZIIIIIIZII",
"IIIIZIIIIIIIZII",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZZI",
"... | [
0.5,
1,
0.5,
0.5,
1,
0.5,
-0.5,
-0.5,
-1,
-1,
0.9090909090909091,
-0.5,
-0.5,
0.45454545454545453,
0.9090909090909091,
0.5,
0.5,
1,
1,
1,
0.9090909090909091,
0.45454545454545453,
-0.045454545454545456,
4.5,
1,
4.5,
1,
0.8181818181818181,
1.6363636363636362,
... | 0.9787 | [
2.8614287082955054,
0.09322718931803065,
3.4155641567142934,
0.7617627833178526,
3.355608374216573,
-0.7114090480604071,
3.1031710721717287,
-1.6856091863259048,
3.298981659218298,
-0.6650424839892606,
3.2225156967133604,
-0.880104913848808,
2.9895579168603836,
-0.7932929792033736,
0.084... | {
"n_parameters": 36,
"n_qubits": 15,
"optimal_eigenvalue": -20.27272727272695,
"target_ratio": 0.97,
"target_value": -19.66454545454514
} | 33 |
-8461963979691826147 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 1, 3, 4, 5, 8, 10, 12], [0, 1, 5, 6, 7, 10, 11, 12], [8, 9, 4], [1, 2, 5, 6, 7, 9, 10, 11], [0, 1, 2, 3, 5, 10, 11, 12], [0, 2, 5, 9, 11, 12], [9, 4, 12, 1], [1, 2, 4, 5, 6, 7, 8, 10], [2, 6, 9, 10, 11, 12], [1, 3, 5, 6, 7, 9, 12], [1, 2, 3, 4, 6,... | {"states": [6638, 4081], "expectation_value": -5.697719778644073, "params": [[-0.2684], [0.2585]], "bitstrings": ["0011000010001", "1000000001110"], "total_optimization_steps": 30, "probabilities": [0.0008011688581926435, 0.0008017919495802688], "optimization_time": 871.9293491840363} | 0.2095238095238095 * (Z(0) @ Z(1)) + 0.2726190476190476 * (Z(3) @ Z(1)) + 0.3571428571428571 * (Z(3) @ Z(0)) + 0.2857142857142857 * (Z(4) @ Z(1)) + 0.2583333333333333 * (Z(4) @ Z(0)) + 0.3428571428571428 * (Z(4) @ Z(3)) + 0.21190476190476187 * (Z(5) @ Z(1)) + 0.3845238095238095 * (Z(5) @ Z(0)) + 0.2238095238095238 * (Z... | 7 | 13 | 1 | {"smallest_eigenvalues": [-7.58690476190476], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5869047619047585, "smallest_bitstrings": ["1000000001110"], "largest_eigenvalue": 42.000000000000014} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.01429376710892718) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.009406887306685237) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.016178830069648882) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.019941531068311088) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIZIZI",
"IIIIIIIIIZIIZ",
"IIIIIIIIZIIZI",
"IIIIIIIIZIIIZ",
"IIIIIIIIZZIII",
"IIIIIIIZIIIZI",
"IIIIIIIZIIIIZ",
"IIIIIIIZIZIII",
"IIIIIIIZZIIII",
"IIIIZIIIIIIZI",
"IIIIZIIIIIIIZ",
"IIIIZIIIIZIII",
"IIIIZIIIZIIII",
"IIIIZIIZIIIII",
"IIZIIIIIIIIZI",
"IIZIIIIIIII... | [
0.2095238095238095,
0.2726190476190476,
0.3571428571428571,
0.2857142857142857,
0.2583333333333333,
0.3428571428571428,
0.21190476190476187,
0.3845238095238095,
0.2238095238095238,
0.16190476190476188,
0.2595238095238095,
0.36547619047619045,
0.27380952380952384,
0.43809523809523804,
0.2... | 0.960628 | [
-0.01429376710892718,
-0.009406887306685237,
-0.016178830069648882,
-0.019941531068311088,
0.0031858706688369415,
0.006978952070626239,
-0.0007803878384548143,
0.016301150565155582,
0.010107258944591467,
0.002016396920641085,
-0.017222293866758685,
0.014637527548981882,
-0.015252262622367459... | {
"n_parameters": 76,
"n_qubits": 13,
"optimal_eigenvalue": -7.58690476190476,
"target_ratio": 0.97,
"target_value": -7.359297619047617
} | 500 |
4157055762221462676 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 4, 6, 7, 8], [1, 2, 3, 5], [0, 2, 4, 5, 7], [0, 1, 3], [1, 2, 4, 5, 7, 8], [5, 6], [0, 1, 2, 4, 8], [2, 3, 6, 7, 8], [0, 6], [0, 1, 4, 5, 7, 8], [2, 4, 6, 7]]} | {"states": [455, 459], "expectation_value": -2.792282180010595, "params": null, "bitstrings": ["000111000", "000110100"], "total_optimization_steps": 52, "probabilities": [0.06230734780797794, 0.8871758812109717], "optimization_time": 137.39083456993103} | 0.16666666666666669 * (Z(1) @ Z(4)) + 0.13333333333333333 * (Z(6) @ Z(4)) + 0.05 * (Z(6) @ Z(1)) + 0.25 * (Z(7) @ Z(4)) + 0.11666666666666667 * (Z(7) @ Z(1)) + 0.18333333333333335 * (Z(7) @ Z(6)) + 0.16666666666666669 * (Z(8) @ Z(4)) + 0.16666666666666669 * (Z(8) @ Z(1)) + 0.1 * (Z(8) @ Z(6)) + 0.16666666666666669 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.883333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333335, "smallest_bitstrings": ["000110100"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(0.006374230966147609) q[1];
cx q[4], q[1];
h q[5];
h q[6];
cx q[4], q[6];
rz(-0.021766748674017913) q[6];
cx q[4], q[6];
cx q[1], q[6];
rz(-0.01584140926726175) q[6];
cx q[1], q[6];
h q[7];
cx q[4], q[7];
rz(0.00... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5273) 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] = m... | [
"IIIIZIIZI",
"IIZIZIIII",
"IIZIIIIZI",
"IZIIZIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIZIIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIZIZII",
"IIIIIIZZI",
"IIZIIIZII",
"IZIIIIZII",
"ZIIIIIZII",
"IIIIIZIZI",
"IIZIIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"IIIIIZZII",
"IIIZZIIII",
"... | [
0.16666666666666669,
0.13333333333333333,
0.05,
0.25,
0.11666666666666667,
0.18333333333333335,
0.16666666666666669,
0.16666666666666669,
0.1,
0.16666666666666669,
0.21666666666666667,
0.16666666666666669,
0.13333333333333333,
0.21666666666666667,
0.13333333333333336,
0.25,
0.05,
0... | 0.970475 | [
0.006374230966147609,
-0.021766748674017913,
-0.01584140926726175,
0.009213028481646028,
0.02075839214657008,
-0.014567174213529899,
0.030452003564273224,
0.01136787959209525,
0.01198185904318387,
-0.03686698749333292,
-0.025304431414722106,
-0.0048349264904008985,
1.6181976293241218,
-1.5... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -2.883333333333334,
"target_ratio": 0.97,
"target_value": -2.796833333333334
} | 321 |
15981867526b451292338ffade4ee93e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [10, 42], "expectation_value": -3.0719332890006465, "params": null, "bitstrings": ["110101", "010101"], "total_optimization_steps": 34, "probabilities": [0.1326371409892334, 0.677494673987298], "optimization_time": 29.094671964645386} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["010101", "101010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.0615767063417223) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.0615767063417223) q[2];
cx q[1], q[2];
h q[3];
cx q[0], q[3];
rz(1.0615767063417223) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(1.0615767063417223) q[2];
cx q[3], q[2];
rz... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[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",
"IIZIIZ",
"ZIIIIZ",
"IIIZZI",
"IIZZII",
"IZIIZI",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.725469 | [
1.0615767063417223,
-0.31295547132631285,
-0.01907240403825381,
-2.5548485838209922,
-0.5424104057174817,
-0.020414202526432848,
0.19890450634838813,
1.7267918799232351
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 234 |
5bfd79024282ae69c62758a244a2de56 | 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": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [41, 44], "expectation_value": -2.9963046695352116, "params": null, "bitstrings": ["010110", "010011"], "total_optimization_steps": 20, "probabilities": [0.0670646542080499, 0.9295035146573057], "optimization_time": 14.90579080581665} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["010011", "010101", "010110"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(3.040705587759774) q[0];
ry(3.0322761206209288) q[0];
rz(0.23746657912877067) q[0];
rz(-0.5485384081350269) q[1];
ry(0.03463465039766057) q[1];
rz(1.8086014627808424) q[1];
rz(2.1740019225107847) q[2];
ry(2.742027400286282) q[2];
rz(-0.45482682963069987) q[2];
rz(0.8... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[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",
"IZIIZI",
"IZZIII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
0,
-1,
-0.5,
-0.5
] | 0.974004 | [
1.0529037450256176,
0.06477150500217821,
0.0632023087334098,
0.46017332254292537,
1.2192432119969236,
0.14088225722938502,
1.1314918741657554,
-0.05745195682464036,
-0.04240668812804869,
-0.5477397576739919,
-0.046155027306700576,
-0.6332603826055265,
1.1415462481792484,
-0.100403553526293... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 15 |
763530b40aee1551d1361e570f18aa92 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 5, "target":... | {"states": [31, 415], "expectation_value": -0.9950513761545208, "params": [[-0.0661], [0.065]], "bitstrings": ["111100000", "001100000"], "total_optimization_steps": 10, "probabilities": [0.002834954864288327, 0.0029295727543844374], "optimization_time": 2.4751391410827637} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(7)) + 1.0 * (Z(5) @ Z(7)) + -2.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(5)) + -2.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(7) + 0.5 ... | 5 | 9 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["001100000"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.5235877519634984) q[0];
h q[1];
cx q[1], q[0];
ry(-0.5235877519634984) q[0];
cx q[1], q[0];
ry(0.4541358506069148) q[1];
cx q[0], q[1];
ry(-0.4541358506069148) q[1];
cx q[0], q[1];
h q[2];
ry(-1.5441303935975634) q[2];
ry(-0.04134463188481584) q[3];
rz(-pi)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"IIZIZIIII",
"IIZZIIIII",
"ZZIIIIIII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IZIIIIIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
-1,
-1.5,
-2,
1,
-2.5,
0.5,
-2,
-2.5,
0.5,
-2,
1,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970205 | [
0.5031034179611454,
1.1602703147971543,
0.37378500182186103,
1.6155815234281254,
1.6167410174125283,
1.3638042847893481,
-1.5295251464048514,
-1.5441303935975634,
1.2697549685255556,
1.0471755039269968,
0.9082717012138296,
0.46848736271219377,
0.30542061378075086,
0.6224118654224913,
-0.... | {
"n_parameters": 37,
"n_qubits": 9,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 128 |
41e371d8cc4122e6ac05fda4a9a733df | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 1, "so... | {"states": [0, 1], "expectation_value": -4.536563566395062, "params": [[[-0.0028, 0.006200000000000001], [0.0027, 0.003], [0.0024000000000000002, 0.0027], [0.0025, 0.0081], [1.6074000000000002, 0.0039000000000000003]]], "bitstrings": ["11111", "11110"], "total_optimization_steps": 160, "probabilities": [0.4817011515537... | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(1) @ Z(3)) + -1.0 * (Z(2) @ Z(3)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -1.0 * Z(3) + -0.25 * Z(0) + 0.75 * Z(1) + 0.0 * Z(2) + 0.5 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(-0.21164019377002524) q[0];
rz(0.29993552628560155) q[0];
rx(0.022404456669019523) q[1];
rz(0.24112094905567866) q[1];
rx(-0.12021742964398797) q[2];
rz(0.022404456669019523) q[2];
rx(0.020942544473592298) q[3];
rz(0.08815478690614406) q[3];
rx(2.9671795821067803) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q[2];
rz(x2) q[2];
rx... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IZIIZ",
"IZIZI",
"IZZII",
"IIZZI",
"ZZIII",
"ZIIIZ",
"ZIIZI",
"ZIZII",
"IZIII",
"IIIIZ",
"IIIZI",
"IIZII",
"ZIIII"
] | [
-1,
-0.75,
-1,
-1.25,
-0.25,
1.25,
-0.25,
-0.25,
-1,
-0.25,
0.75,
0,
0.5
] | 0.984363 | [
-0.21164019377002524,
0.29993552628560155,
0.022404456669019523,
0.24112094905567866,
-0.12021742964398797,
0.020942544473592298,
0.08815478690614406,
2.9671795821067803,
-0.6183644341907681
] | {
"n_parameters": 9,
"n_qubits": 5,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 9 |
13897d244e0881b4447dd2a9a298bf14 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 2}, {"weight": 19, "source": 0, "target": 6}, {"weight": 14, "source": 1, "target": 4}, {... | {"states": [123, 118], "expectation_value": -6.260246017781996, "params": [[0.0551], [-0.049800000000000004]], "bitstrings": ["10000100", "10001001"], "total_optimization_steps": 10, "probabilities": [0.006237844944547297, 0.0069248305672026805], "optimization_time": 2.61787748336792} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 11.0 * Z(1) + 6.5 * Z(0) + 13.5 * Z(2) + 11.0 * Z(3) + 6... | 1 | 8 | 1 | {"smallest_eigenvalues": [-62.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 128.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.030727019186459183) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.030727019186459183) q[1];
cx q[2], q[1];
rz(-1.5882059243987203) q[2];
rx(1.5243136193984859) q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.030727019186459183) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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],... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIIZIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11,
6.5,
13.5,
11,
6,
14,
14,
4.5
] | 0.98132 | [
0.030727019186459183,
-1.5882059243987205,
1.700638967703943,
-1.2603176422809077,
1.524313619398486
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 27 |
62d59a2c57c5a5e03bc57aa993d43fe2 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [70, 82], "expectation_value": -3.4890916346509764, "params": null, "bitstrings": ["0111001", "0101101"], "total_optimization_steps": 30, "probabilities": [0.060719166047163126, 0.8639381839603782], "optimization_time": 26.471951723098755} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * Z(3) + 0.0 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + -1.5 * Z(6) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5, "smallest_bitstrings": ["0001111", "0011011", "0111001", "1100101", "0111010", "0101101", "1000111"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.0525935599156801) q[0];
rz(0.2970493753315515) q[0];
ry(-0.05280238195070901) q[1];
ry(1.9145293619602348) q[2];
ry(0.11896541183831788) q[3];
ry(1.6776262128736183) q[4];
ry(1.5989812940360673) q[5];
ry(1.6042391584874556) q[6];
ry(0.26475625811985654) q[7];
cx q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IZIIIZI",
"ZIIZIII",
"ZZIIIII",
"ZIIIIZI",
"ZIIIZII",
"IIZZIII",
"IIZIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-0.5,
-0.5,
-1.5,
-0.5,
-0.5
] | 0.981549 | [
-0.0525935599156801,
-0.05280238195070901,
1.9145293619602348,
0.11896541183831788,
1.6776262128736183,
1.5989812940360673,
1.6042391584874556,
0.26475625811985654,
0.594098750663103,
-0.5369054493384858,
-0.1577385704159672,
0.24970879240192104,
0.9304805543958563,
0.24429898188147828,
... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 12 |
016775dde850e8af4723e497734ae990 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [40, 56], "expectation_value": -3.822095272897899, "params": [0.046, 0.1282, 0.0442, 0.13040000000000002, 0.0723, 0.13620000000000002, 0.07440000000000001, 0.1358, 0.30610000000000004, -0.0025, 0.2979, 0.0009000000000000001, 0.2949, 0.0045000000000000005, 0.2983, 0.0016, 0.3075, -0.0002, 0.3032, 0.0021000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(6) + ... | 7 | 8 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.0, "smallest_bitstrings": ["10110011", "10110101", "11100101", "01011110", "10010111", "01001111", "11000111"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.015492804233453956) q[0];
rz(1.194662995214216) q[0];
rx(3.1335249443882773) q[1];
rz(1.3337446224696947) q[1];
rx(0.4727127811132122) q[2];
rz(1.3329665555676895) q[2];
rx(-0.3023512210891472) q[3];
rz(1.599316754836254) q[3];
rx(2.42667493666599) q[4];
rz(1.8689... | 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] x11;
input float[64] x12;
inp... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IIIIZIZI",
"ZIIIIIZI",
"ZIIZIIII",
"ZIIIZIII",
"IZIIIZII",
"IZZIIIII",
"IIZIZIII",
"ZIZIIIII",
"IIZIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIZIII",
"ZIIIIIII",
"IIIIIZII",
"IIZIIIII"
] | [
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,
-0.5,
-1,
-1,
-1.5,
-0.5,
-1.5
] | 0.978772 | [
-0.015492804233453956,
-0.37613333158067974,
3.1335249443882773,
-0.2370517043252016,
0.47271278111321224,
-0.23782977122720717,
-0.3023512210891472,
0.02852042804135716,
2.42667493666599,
0.2981959158226209,
2.9390036091875165,
-0.4454423536186817,
0.6004473388057012,
0.12183762776911534,... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 13 |
cfcf196786d6d074ade797fa6078553a | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capaci... | {"states": [469, 479], "expectation_value": -0.42036465391330885, "params": [[0.07150000000000001], [-0.056400000000000006]], "bitstrings": ["1000101010", "1000100000"], "total_optimization_steps": 10, "probabilities": [0.001107394712665348, 0.0011073947126653482], "optimization_time": 3.721615791320801} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(3)) + -0.5 * (Z(9) @ Z(5)) + 0.5 ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -5.833333333333334, "smallest_bitstrings": ["1001111010", "1001111001", "1000101001", "10011... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.38396551843230375) q[1];
cx q[2], q[1];
rz(-0.4140865431265359) q[1];
rx(1.4388351855267667) q[1];
rz(-0.4140865431265359) q[2];
rx(1.4388351855267667) q[2];
cx q[2], q[1];
rz(0.30052165692203675) q[1];
cx q[2], q[1];
rz(-0.8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
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 ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIZ",
"IIZIZIIIII",
"IIZIIIIIIZ",
"IIIIZIZIII",
"IIIIIIZIIZ",
"IIZIIIZIII",
"IIIIZZIIII",
"IIIIIZIIIZ",
"IIZIIZIIII",
"IIIIIZZIII",
"IZIIZIIIII",
"IZZIIIIIII",
"IZIIIIZIII",
"ZIIIZIIIII",
"ZIZIIIIIII",
"ZIIIIIZIII",
"ZZIIIIIIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIIZIIZIII"... | [
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
0.5,
0.5,
1,
0.5,
-0.5,
-0.5,
-1,
-1,
0.33333333333333337,
0,
0.33333333333333337,
1.5,
0,
-0.5,
1.5,
1.5,
-1.5,
0.6666666666666667,
0.6666666666666667
] | 0.970291 | [
0.034539384198122705,
0.1583793320365209,
0.13174966890782872,
0.023971881933780113,
0.38396551843230375,
0.9058271732652498,
-0.8544721743832904,
-0.8296736871253323,
-0.4140865431265362,
1.4388351855267667,
0.07083576534550291,
0.6657468360247684,
0.4231701738103223,
-0.5671362906981388,... | {
"n_parameters": 37,
"n_qubits": 10,
"optimal_eigenvalue": -6.166666666666667,
"target_ratio": 0.97,
"target_value": -5.9816666666666665
} | 261 |
6206337d7d1967e1d98c4b708b2f9aeb | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [41, 44], "expectation_value": -5.499937482943579, "params": null, "bitstrings": ["010110", "010011"], "total_optimization_steps": 28, "probabilities": [1.6356545604728183e-05, 0.9999687420766158], "optimization_time": 23.42277240753174} | 0.5 * (Z(0) @ Z(1)) + 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(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -2.0 * Z(1) + -1.0 * Z(0) + -2.0 * Z(4) + -1.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z... | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["010011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-3.104597454054124) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.53500557433382) q[1];
h q[2];
ry(1.4439796999895051) q[2];
cx q[2], q[0];
ry(-0.09228340053169692) q[0];
cx q[2], q[0];
ry(0.12874566237956261) q[2];
h q[3];
ry(1.4415177267275305) q[3];
h q[4];
ry(-1.535005574333... | 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",
"IZIIZI",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZZIIII",
"IIIZZI",
"IZIZII",
"IIZIZI",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIZII",
"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,
-2,
-1.5,
-0.5,
-1
] | 0.993942 | [
-1.53500557433382,
-1.4376074027751256,
1.4439796999895051,
1.4415177267275305,
0.0014514087102965867,
0.18456680106339385,
0.15085650241299106,
0.25749132475912523,
-0.0014710015415432699,
-0.07056259980137612,
0.21107059744399434,
-0.014355156257897916
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
0ae9b6f2b61290137ab22e2dafb0c164 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [86, 45], "expectation_value": -0.035811925306858436, "params": [[-0.053200000000000004], [0.059500000000000004]], "bitstrings": ["0101001", "1010010"], "total_optimization_steps": 10, "probabilities": [0.008257821593802086, 0.00825782159380209], "optimization_time": 3.1494674682617188} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -1.0, "smallest_bitstrings": ["1000011", "0111000", "1010010", "0101100", "0101001", "0010110", "1100001", "0100110", "0100101", "1000110", "0011010"], "largest_eige... | 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] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIZZIIZ",
"IZIZIII",
"ZIIZIII",
"ZZIIIII",
"ZZIZIII",
"IZIIIZI",
"IIZIZII",
"ZIIIZII",
"ZIZIIII",
"ZIZIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
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,
0.25,
0.25,
0.25,
-0.25,
0,
-0.25,
0,
0,
0,
-0.25,
0
] | 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 |
c94e25bb0c907afabc61bb8c8f6edffe | 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}], "edges": [{"... | {"states": [123, 59], "expectation_value": -52.67790024815263, "params": [0.0027, 0.7515000000000001, 0.5372, 0.31320000000000003, 0.9913000000000001, 0.24280000000000002, 0.9903000000000001, 0.0055000000000000005, 0.9938, 0.13670000000000002, 0.46330000000000005, 0.30410000000000004, 0.993, -0.0046, 0.9936, 0.0051, 0.... | 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(1) @ Z(3)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 8.0 * Z(3) + 12.0 * Z(2) + 9.0 * Z(1) + 16.0 * Z(4) + 8.0 * Z(5) + 14.0 * Z(6)... | 18 | 8 | 3 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "smallest_bitstrings": ["11000100"], "largest_eigenvalue": 147.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.031897397457261445) q[0];
rz(0.587590744739483) q[0];
rx(0.1555877946247346) q[1];
rz(0.3403467052809954) q[1];
rx(0.749335734012228) q[2];
rz(0.26772059595443004) q[2];
rx(1.0542920673235299) q[3];
rz(0.03774703515898396) q[3];
rx(0.9457339175322073) q[4];
rz(-0.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIZZII",
"IIIIZIZI",
"IIIIIZZI",
"IIIZIIZI",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIZIII",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIIZ"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
8,
12,
9,
16,
8,
14,
18,
-7.5
] | 0.973336 | [
0.031897397457261445,
0.5687172271599913,
0.1555877946247346,
0.3403467052809954,
0.749335734012228,
0.26772059595443004,
1.0542920673235299,
0.03774703515898396,
0.9457339175322073,
-0.11217286782300731,
-0.05326862132953125,
0.666468177214783,
0.9096345690293487,
0.09568093465150707,
1... | {
"n_parameters": 67,
"n_qubits": 8,
"optimal_eigenvalue": -63.5,
"target_ratio": 0.97,
"target_value": -61.595
} | 14 |
b092771ce61a8acd6559293acbdc236f | 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": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2},... | {"states": [0, 2047], "expectation_value": -28.15136349213751, "params": [[[0.0022, 1.6045], [-0.003, 0.0022], [-0.0032, 0.0027], [0.002, 0.0023], [0.002, 0.002], [0.0018000000000000002, 0.0021000000000000003], [-0.003, 0.0023], [0.0023, 0.0026000000000000003], [0.0027, 0.0024000000000000002], [0.0029000000000000002, 0... | -2.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + -3.0 * (Z(7) @ Z(0)) + 1.5 * (Z(7) @ Z(6)) + -2.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(0)) + -3.5 * (Z(4) @ Z(6)) + -3.5 * (Z(4) @ Z(7)) + -3.0 *... | 15 | 11 | 1 | {"smallest_eigenvalues": [-32.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.5, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 45.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.07944843518069877) q[0];
ry(-0.023055749448330047) q[1];
ry(0.14958704260228906) q[2];
ry(0.11248506586690205) q[3];
ry(0.11248506586690205) q[4];
ry(0.18032321579823166) q[5];
ry(-0.023055749448330047) q[6];
ry(0.060906342767238844) q[7];
ry(0.027217362208406502... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIZIIIZII",
"IIIIZIIIIIZ",
"IIIZIIIIZII",
"IIIZIIIIIIZ",
"IIIZZIIIIII",
"IIIIIIIIZZI",
"IIIIIIIIIZZ",
"IIIIZIIIIZI",
"IIIZIIIIIZI",
"IIIIIIZIZII",
"IIIIIIZIIIZ",
"IIIIZIZIIII",
"IIIZIIZIIII",
"IIIIIIZIIZI",
"IIIIIZIIZII",
"IIIIZZIIIII",
"IIIZIZIIIII",
"IIIIIZIII... | [
-2.5,
0.5,
-3,
0.5,
-3,
1.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
1,
-3.5,
-3.5,
-3,
0.5,
1,
1,
-2.5,
-3,
1,
-3,
-3,
0.5,
1.5,
-3,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
1
] | 0.970735 | [
-0.07944843518069877,
-0.023055749448330047,
0.14958704260228906,
0.11248506586690205,
0.18032321579823166,
0.060906342767238844,
0.027217362208406502,
-0.0625424106758895,
0.18606842741424828,
3.103056982604843,
-0.08228895233511942,
-0.14015800064045528,
0.25884326163599736,
0.0578663963... | {
"n_parameters": 14,
"n_qubits": 11,
"optimal_eigenvalue": -32.5,
"target_ratio": 0.97,
"target_value": -31.525
} | 18 |
2037c68aca19f83c01748f0e59e08f2f | 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": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 4, "target": 5},... | {"states": [0, 2044], "expectation_value": -7.726380342149874, "params": [0.5806, 0.1981, -0.3396, 0.9909, 0.5721, 0.3789, -0.4234, 0.8805000000000001, -0.6065, 0.4636, 0.5241, 0.9969, -0.6163000000000001, 0.662, 0.47840000000000005, 0.9486, 0.6235, 0.8609, -0.2629, 0.9494, 0.6203000000000001, 0.9624, -0.25070000000000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(8)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * (Z(7) @ Z(6)) + -1.5 * (Z(9) @ Z(10)) + -1.0 * (Z(2) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(8) + 0.5 * Z(5) + 0.5 * Z(6) + 0.5 * Z(7) + -... | 6 | 11 | 3 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["00000000000", "00000000011"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.9295506563086005) q[0];
rz(2.2807623343092303) q[0];
rx(-0.8567996128266898) q[1];
rz(3.1328596491862264) q[1];
rx(-0.2697593181754737) q[2];
rz(2.6047706566442557) q[2];
rx(-0.4650308578495124) q[3];
rz(2.623956812406524) q[3];
rx(-0.7835008226917056) q[4];
rz(3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIZIIZIIIII",
"IIZIZIIIIII",
"IIZZIIIIIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"ZZIIIIIIIII",
"IIIIIIIZZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIZIIIIIIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIIZIIIIIII",
"ZIIIIIIIIII",
"IZIIIIIII... | [
-1.5,
-1.5,
0.5,
-1.5,
0.5,
-2,
0.5,
-1.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
1,
0.5,
0.5
] | 0.865269 | [
-0.9295506563086007,
0.7099660075143339,
-0.85679961282669,
1.5620633223913303,
-0.2697593181754737,
1.03397432984936,
-0.4650308578495125,
1.0531604856116272,
-0.7835008226917056,
1.5242732318561738,
-0.626126329901162,
1.2296018887015683,
0.35462332305321204,
1.9093382549555464,
0.7073... | {
"n_parameters": 107,
"n_qubits": 11,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 500 |
26d7f56e59bfdf48052023802b40605b | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [5, 9], "expectation_value": -2.473733379112567, "params": null, "bitstrings": ["11010", "10110"], "total_optimization_steps": 15, "probabilities": [0.07350741985248108, 0.9006631074695891], "optimization_time": 9.74338984489441} | 0.5 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(0) @ Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -0.75 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.75 * Z(3) + 0.0 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["11010", "10110"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(1.2499764251158545) q[0];
ry(-3.131892145691064) q[1];
rz(-pi) q[1];
cx q[0], q[1];
ry(-0.044478645155635405) q[1];
cx q[0], q[1];
ry(0.12664230797643383) q[0];
h q[2];
ry(1.5166171737405318) q[2];
ry(-0.03588918412791559) q[3];
rz(-pi) q[3];
ry(-0.0607466333... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5486) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIZZI",
"IIIZZ",
"ZIIIZ",
"ZIIZI",
"ZIIZZ",
"IZZII",
"ZIZII",
"ZZIII",
"ZZZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.75,
0
] | 0.996768 | [
-1.542809730398753,
-1.422554814258884,
1.2499764251158545,
1.5166171737405318,
-0.17498975827594188,
0.08895729031127081,
0.07763652938393162,
0.25328461595286766,
0.0158051754635434,
-0.01985291831550096,
-0.1417123084039368,
-0.06160524380502602,
-0.0461715348705158
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
97aa58ef0b431934bfaa14698e7612e3 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [41, 29], "expectation_value": -1.0724685093301596, "params": [[-0.0666, -0.0534, -0.0594, -0.012], [0.07980000000000001, 0.07010000000000001, 0.07690000000000001, 0.057300000000000004]], "bitstrings": ["010110", "100010"], "total_optimization_steps": 10, "probabilities": [0.02797041006425072, 0.031674049249... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -2.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.0651359293991675) q[0];
rz(-pi) q[0];
ry(-2.9863728943382646) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-3.0966768290779063) q[2];
h q[3];
ry(1.416522520487516) q[3];
cx q[3], q[0];
ry(0.0756279699701927) q[0];
cx q[3], q[0];
ry(0.07903094769679948) q[3];
ry(-0.0588420... | 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",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"IZZIII",
"IZIZII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-2,
0,
0
] | 0.993396 | [
-1.5356385769847074,
-1.4300324274255363,
1.4790868765185854,
1.416522520487516,
-0.1512559399403854,
-0.0018919058882961165,
0.15806189539359897,
0.27325054957639605,
0.06988879116685,
-0.1176840429531697,
-0.012299817357459168
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
0f845fa738512ebb0107d1119c098372 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": ... | {"states": [0, 256], "expectation_value": -17.874929539018012, "params": [-0.0022, -0.0007, -0.0013000000000000002, -0.0041, -0.006900000000000001, -0.0031000000000000003, 0.30670000000000003, 0.3063, 0.0001, -0.0036000000000000003, -0.0037, 0.0022, -0.0024000000000000002, -0.0048000000000000004, -0.0053, 0.0022, -0.00... | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(9) @ Z(0)) + -1.0 * (Z(11) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(9)) + -0.75 * (Z(4) @ Z(11)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(9)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(9)) + -0.75 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @... | 14 | 12 | 3 | {"smallest_eigenvalues": [-18.25, -18.25, -18.25, -18.25, -18.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -17.25, "smallest_bitstrings": ["100000000000", "111011111100", "111011111101", "111011111110", "111011111111"], "largest_eigenvalue": 22.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.10618789819855844) q[0];
rz(pi/2) q[0];
ry(0.03190278278282031) q[1];
ry(0.041668595540550614) q[2];
ry(0.2923755385321721) q[3];
ry(-0.12512871985422608) q[4];
ry(0.27609677780335007) q[5];
ry(0.047902982109246414) q[6];
ry(0.317740113580671) q[7];
ry(-0.04870461... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIZIIIIIIIIZ",
"ZIIIIIIIIIIZ",
"IIIIIIIZIIZI",
"IIZIIIIZIIII",
"ZIIIIIIZIIII",
"IIIIIIZIIIZI",
"IIZIIIZIIIII",
"IIIIIIZZIIII",
"IIIIIZIIIIZI",
"IIZIIZIIIIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIZIIIIIZI",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIZI",
"IIIZIIIZI... | [
-0.5,
-1,
-1,
-1.25,
-1,
-0.75,
-0.5,
-1,
-0.75,
-0.75,
-0.5,
-0.75,
-1,
-0.5,
-0.25,
-0.25,
-0.25,
-0.75,
-1.5,
-0.5,
2.75,
-1,
-0.25,
-0.25,
-1,
-1,
-0.75,
-0.25,
-0.75,
1,
-0.25,
0.25,
0.75,
-3.25,
-0.25,
-0.25,
-1,
2.25,
0.25,
0.25,
... | 0.974341 | [
0.10618789819855844,
0.03190278278282031,
0.041668595540550614,
0.2923755385321721,
-0.12512871985422608,
0.27609677780335007,
0.047902982109246414,
0.317740113580671,
-0.04870461022843206,
0.15745911507600946,
-0.22793337894883658,
0.041422982594273,
0.12463571132495019,
-0.16226291901215... | {
"n_parameters": 122,
"n_qubits": 12,
"optimal_eigenvalue": -18.25,
"target_ratio": 0.97,
"target_value": -17.7025
} | 4 |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1, 3], "expectation_value": -12.311847303720512, "params": [[[0.0852, 0.2172], [0.08070000000000001, 0.2182], [0.0781, 0.21960000000000002], [0.12000000000000001, 0.1625], [0.43170000000000003, 0.0022], [0.4878, 0.0005]], [[0.0873, 0.21730000000000002], [0.0854, 0.2182], [0.07690000000000001, 0.219600000000... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5... | 1 | 6 | 4 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.8012111076319184) q[0];
ry(-2.800432370667173) q[1];
rz(-pi) q[1];
h q[2];
cx q[2], q[0];
ry(0.8012111076319184) q[0];
cx q[2], q[0];
ry(-0.6297922003853687) q[0];
ry(0.47256397378589904) q[2];
h q[3];
ry(0.902684951569005) q[3];
ry(-2.539634315256677) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
-6,
-6,
-6,
-5.75,
-5.5,
-5.25
] | 0.97092 | [
-1.3534878512218063,
1.5980321926942207,
-0.5087559348189883,
0.902684951569005,
1.049840712772453,
-1.6024222152638368,
0.3595906621996474,
0.7061982879717381,
-1.2595844007707373,
0.9451279475717981,
-1.8637580935742109,
1.102091920108346,
0.5252794009800849,
0.16113765377932213,
0.424... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 63 |
-1267226493053001895 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3, 6], [0, 2, 4], [0, 3, 6], [1, 4, 5], [3, 4, 6], [0, 2, 5], [0, 1, 3, 5], [1, 5, 6], [2, 4, 6]]} | {"states": [113, 71], "expectation_value": -0.11957771935704575, "params": [[0.0745], [-0.0751]], "bitstrings": ["0001110", "0111000"], "total_optimization_steps": 10, "probabilities": [0.008464220381474328, 0.00852719327690618], "optimization_time": 0.8888237476348877} | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(6)) + 0.16666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.4999999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.2499999999999996, "smallest_bitstrings": ["0111000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(3.6514304436523495e-08) q[2];
cx q[3], q[2];
h q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(1.051393503444545e-07) q[6];
cx q[3], q[6];
cx q[2], q[6];
cx q[3], q[0];
rz(-4.724674062839537e-08) q[0];
cx q[3], q[0];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIZZII",
"ZIIZIII",
"ZIIIZII",
"IIIZIIZ",
"IIIIZIZ",
"ZIIIIIZ",
"IIZZIII",
"IIZIZII",
"ZIZIIII",
"IIZIIIZ",
"IIIZIZI",
"ZIIIIZI",
"IIIIIZZ",
"IIZIIZI",
"IZIZIII",
"IZIIZII",
"ZZIIIII",
"IZIIIIZ",
"IZZIIII",
"IZIIIZI",
"IIIZIII",
"IIIIZII",
"ZIIIIII",
"IIIIIIZ",
"IIZ... | [
0.16666666666666666,
0.5,
0.3333333333333333,
0.25,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.1666... | 0.9 | [
3.6514304436523495e-8,
1.051393503444545e-7,
5.0220169161604754e-8,
-4.724674062839537e-8,
1.4003488282114831e-8,
3.1415928012550265,
1.5707962507475626,
1.5707962939366165,
-1.5707965362066632,
-1.5707963693499833,
-1.570796334355444
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -2.4999999999999996,
"target_ratio": 0.97,
"target_value": -2.4249999999999994
} | 284 |
ff7241d51cdb655d6dec2f945af83fc0 | 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}], "edges": [{"... | {"states": [111, 107], "expectation_value": -51.50134523109394, "params": [0.12480000000000001, 0.3432, 0.7036, 0.0057, 0.6989000000000001, 0.0012000000000000001, -0.0006000000000000001, 0.46880000000000005, 0.7014, 0.0142, 0.3534, 0.21830000000000002, 0.6894, 0.0158, 0.6967, 0.0771, 0.1241, 0.3407, 0.6992, 0.0102, 0.6... | 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(5) @ Z(6)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(7) @ Z(5)) + 12.0 * Z(2) + 7.5 * Z(1) + 0.5 * Z(0) + -4.0 * Z(3) + 9.0 * Z(4) + 13.0 * Z(6) + 4.5 * Z(5) + 13.0 * Z(7) | 18 | 8 | 4 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -51.5, "smallest_bitstrings": ["10010100"], "largest_eigenvalue": 100.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.06932899330631805) q[0];
rz(0.3654156415675516) q[0];
rx(0.5874783692170422) q[1];
rz(-0.06300116392377512) q[1];
rx(0.7186272153455475) q[2];
rz(0.35818743868199654) q[2];
rx(-0.06692114181527054) q[3];
rz(0.5203603547853064) q[3];
rx(0.7087670224312735) 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]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIIZIZ",
"IIIIIIZZ",
"IIIZZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
12,
7.5,
0.5,
-4,
9,
13,
4.5,
13
] | 0.978975 | [
-0.06932899330631806,
0.32182202577205044,
0.5874783692170422,
-0.06300116392377512,
0.7186272153455475,
0.35818743868199654,
-0.06692114181527054,
0.5203603547853064,
0.7087670224312735,
-0.006286535746267724,
0.12086141983627299,
0.025100156141098395,
0.9029592271557593,
0.09092097026857... | {
"n_parameters": 92,
"n_qubits": 8,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 8 |
f20b14ccaf46fd91ed39b9c05edbe906 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"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": 5}, {"source": 2, "target"... | {"states": [2, 3], "expectation_value": -4.951210596268533, "params": [[[0.0903, -0.2], [0.1317, 0.1852], [0.13870000000000002, 0.1852], [0.49520000000000003, 0.0001], [0.4908, -0.0002]], [[0.0887, -0.2], [0.1353, 0.18560000000000001], [0.1433, 0.1852], [0.4919, 0.0001], [0.49100000000000005, -0.0002]], [[0.0889, -0.20... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -3.0 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "11001", "10110"], "largest_eigenvalue": 31.75} | 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] 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,
1.75,
1.75,
1.75,
1.75,
2,
2,
-2.75,
-3,
-2.75,
-2.5,
-2.5
] | 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 |
2723974204809509610 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 2], [2, 3, 4], [1, 2, 3], [0, 3], [3, 5]]} | {"states": [22, 43], "expectation_value": -0.05821175056333727, "params": [[-0.0854], [0.0776]], "bitstrings": ["101001", "010100"], "total_optimization_steps": 10, "probabilities": [0.016936681801247883, 0.01693874843588497], "optimization_time": 1.4769492149353027} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.3333333333... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.6666666666666667, -1.6666666666666667, -1.6666666666666667, -1.6666666666666667], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.6666666666666663, "smallest_bitstrings": ["110011", "101001", "100011", "010100"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.12518675098431115) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.2996394562328222) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.12518675098431115) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.12518675098431115) q[3];
cx q[1], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[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(x1) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666663,
0.4999999999999999,
0.3333333333333335,
0.16666666666666666,
0
] | 0.638002 | [
-0.12518675098431115,
-0.2996394562328222,
-1.0678572793825871,
0.16676790660144883,
0.8339548742148724
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -1.6666666666666667,
"target_ratio": 0.97,
"target_value": -1.6166666666666667
} | 136 |
1b31d57e8a798cec0184fcb2b690ae6a | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [810, 299], "expectation_value": -49.02122311873654, "params": [[[1.5767, 0.0971], [1.6143, 0.38070000000000004], [-0.1653, 0.272], [-1.4684000000000001, 1.4615], [1.588, 1.5811000000000002], [1.5888, 1.5828], [1.5861, 1.5827], [1.5855000000000001, 1.5842], [1.5850000000000002, -0.4137], [1.5772000000000002,... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(4) @ Z(0)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(9) @ Z(6)) + 7.0 * (Z(9) @ Z(5)) + 9.5 * Z(1) + 1.5 * Z(0) + -6.0 * Z(2) + 6.0 * Z(4) + -6.5 * Z(3) + 17.0 * Z(6) + 3.0 * Z(5) + 5.0 * Z(7) + -1.5 * Z(8) + 9... | 15 | 10 | 1 | {"smallest_eigenvalues": [-92.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.0, "smallest_bitstrings": ["1011010100"], "largest_eigenvalue": 100.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(3.1415927090759475) q[0];
ry(3.141592682210761) q[1];
ry(-1.2407532540029324e-08) q[2];
ry(-1.5707963235272937) q[3];
ry(1.4807440433776469) q[4];
ry(pi/2) q[5];
ry(1.570796313207921) q[6];
ry(1.5707963286291213) q[7];
ry(1.5707963525066542) q[8];
ry(3.1415926787911... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IZZIIIIIII",
"ZIIZIIIIII",
"ZIIIZIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
9.5,
1.5,
-6,
6,
-6.5,
17,
3,
5,
-1.5,
9
] | 0.782609 | [
3.1415927090759475,
3.141592682210761,
-1.2407532540029324e-8,
-1.5707963235272937,
1.4807440433776469,
1.5707963265526252,
1.570796313207921,
1.5707963286291213,
1.5707963525066542,
3.141592678791133,
1.898572193386457e-8,
-1.2323942612360593e-8,
1.6975625704929147e-8,
1.5707963239039369,... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -92,
"target_ratio": 0.97,
"target_value": -89.24
} | 405 |
8593b8834e52e999edf6925bd3316e57 | 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": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": ... | {"states": [992, 1022], "expectation_value": -8.87735151797027, "params": [0.3287, -0.298, 0.39230000000000004, -0.1754, 0.3584, -0.1981, 0.38170000000000004, -0.126, 0.40280000000000005, 0.17170000000000002, 0.38070000000000004, 0.4253, 0.4046, 0.2247, 0.3628, 0.32020000000000004, 0.40490000000000004, 0.4874, 0.3327, ... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + 0.... | 6 | 10 | 4 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["0000000001"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-1.573703454518612) q[0];
rz(-3.14047613888909) q[0];
rx(3.0308115310761083) q[1];
rz(0.6734192784892188) q[1];
rx(2.010554272140748) q[2];
rz(3.0206871183746102) q[2];
rx(-2.1712612108893157) q[3];
rz(2.9532936306481474) q[3];
rx(2.7161758546999044) q[4];
rz(2.5162... | 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": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIZZIIIII",
"IZIZIIIIII",
"IZIIZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"IZZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII"... | [
-1,
-1.5,
-1.5,
0.5,
-2,
1,
-2,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.94714 | [
-1.573703454518612,
1.5719128414955998,
3.0308115310761083,
-0.8973770483056777,
2.010554272140748,
1.4498907915797135,
-2.1712612108893157,
1.3824973038532513,
2.7161758546999044,
0.9454532969790569,
-0.38895335517297736,
0.6494148310713042,
0.3887215655869767,
0.6918082468814762,
0.665... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -14.5,
"target_ratio": 0.97,
"target_value": -14.065
} | 500 |
dca74c4464ee5c0862a21e9a873391f9 | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [21, 98], "expectation_value": -0.8492321252012606, "params": [[0.0599, 0.0698, 0.077, 0.0719], [-0.0351, -0.058600000000000006, -0.0711, -0.0636]], "bitstrings": ["1101010", "0011101"], "total_optimization_steps": 10, "probabilities": [0.016046451566640755, 0.01604645156664077], "optimization_time": 7.17749... | 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 | 4 | {"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.... | 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]... | null | {"circuits": [], "gradients": []} | [
"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 |
6097cf775599b8557e7af2c2f7eca9b3 | 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": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, ... | {"states": [49, 51], "expectation_value": -3.507325616422044, "params": [[[0.1358, 0.0006000000000000001], [1.6053000000000002, 0.0026000000000000003], [1.6127, 0.00030000000000000003], [0.46790000000000004, 0.0036000000000000003], [0.003, 0.0002], [1.6024, 0.004], [1.6125, 0.001]]], "bitstrings": ["1001110", "1001100"... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + -1.0 * Z(6) + -1.0 * Z(3) + -2.0 * Z(4) + 0.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1001100"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.17349410514767027) q[0];
rz(0.08031441587324295) q[0];
rx(0.9169583174344421) q[1];
rz(0.06589120691276662) q[1];
rx(0.8485481032409208) q[2];
rz(-0.09356931584706807) q[2];
rx(0.01443467024941106) q[3];
rz(0.5895262852757224) q[3];
rx(-0.07012639157574801) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIIZIZI",
"ZIIZIII",
"IIZIIZI",
"IZZIIII",
"ZIZIIII",
"IIZZIII",
"IIZIZII",
"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,
0.5,
-1,
-1,
-0.5,
-1,
-1,
-2,
0
] | 0.972301 | [
-0.1734941051476703,
0.197823354069303,
0.9169583174344422,
-0.08214820098416294,
0.8485481032409208,
-0.06751398233261285,
0.014434670249411058,
0.4584043213272069,
-0.07012639157574801,
0.40963988139525653,
0.7041567545778239,
-0.2917325500719837,
0.5137890923078036,
-0.08890028440950837... | {
"n_parameters": 68,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 14 |
-3121622158988484937 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 3, 4, 6, 8], [3, 5], [2, 5], [8, 5, 7], [0, 1, 5, 7], [8, 0, 4, 1], [8, 6, 7], [0, 4, 5], [1, 2, 4, 6, 8], [0, 1, 2, 4, 6, 7], [1, 3, 4]]} | {"states": [157, 371], "expectation_value": -0.12641247119307636, "params": [[0.0745], [-0.0834]], "bitstrings": ["101100010", "010001100"], "total_optimization_steps": 10, "probabilities": [0.0022067642414956325, 0.002209137071107055], "optimization_time": 1.1258199214935303} | 0.06666666666666667 * (Z(0) @ Z(2)) + 0.03333333333333333 * (Z(3) @ Z(2)) + 0.03333333333333333 * (Z(3) @ Z(0)) + 0.11666666666666667 * (Z(4) @ Z(2)) + 0.31666666666666665 * (Z(4) @ Z(0)) + 0.19999999999999998 * (Z(4) @ Z(3)) + 0.11666666666666667 * (Z(6) @ Z(2)) + 0.06666666666666667 * (Z(6) @ Z(0)) + 0.03333333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.3166666666666664], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.1499999999999995, "smallest_bitstrings": ["010001100"], "largest_eigenvalue": 9.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.014315281401440337) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-0.2508696759181346) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.2508696759181346) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.054878877511949004) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIIZZIII",
"IIZIIIZII",
"IIZIIIIIZ",
"IIZIIZIII",
"IIZIZIIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIZZIIII",
"ZIIZIIIII",
"IZIIIIZII",
"... | [
0.06666666666666667,
0.03333333333333333,
0.03333333333333333,
0.11666666666666667,
0.31666666666666665,
0.19999999999999998,
0.11666666666666667,
0.06666666666666667,
0.03333333333333333,
0.11666666666666667,
0.08333333333333334,
0.11666666666666667,
0.03333333333333333,
0.166666666666666... | 0.658253 | [
-0.014315281401440337,
-0.2508696759181346,
0.054878877511949004,
0.33975152195301916,
0.06308776067205894,
-0.005394120488909247,
0.02030213387420741,
0.10922235589665306,
1.0258608121293862,
0.6544288840864462,
-0.012373711051874958,
0.03445177758585231,
1.4066187640279681,
-0.4932075873... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -3.3166666666666664,
"target_ratio": 0.97,
"target_value": -3.2171666666666665
} | 460 |
fbed7eb759f2b5af245b5b20e03cfb23 | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [3, 34], "expectation_value": -3.2033573614195605, "params": [[0.126, 0.1506, -0.0801], [-0.1246, -0.157, -0.0756]], "bitstrings": ["111100", "011101"], "total_optimization_steps": 20, "probabilities": [0.0489912230726962, 0.04899122307269622], "optimization_time": 4.706126689910889} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ 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(2)) + -2.0 * Z(1) + -1.5 * Z(0) + -2.0 * Z(2) + -1.5 * Z(3) + ... | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["111100", "111001", "011101"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(0.09362127717423929) q[0];
rz(0.15898723948650006) q[0];
rx(0.01271788291818901) q[1];
rz(-0.3274973128640216) q[1];
rx(-0.2979108091192296) q[2];
rz(-0.003237763520752778) q[2];
rx(-0.02397760534694167) q[3];
rz(0.10163948195161117) q[3];
rx(0.1688669766569415) 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] 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": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IZIIZI",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-2,
-1.5,
-1.5,
-0.5
] | 0.970137 | [
0.09362127717423929,
0.15898723948650006,
0.01271788291818901,
-0.3274973128640216,
-0.2979108091192296,
-0.003237763520752778,
-0.02397760534694167,
0.10163948195161117,
0.1688669766569415,
0.1069285924342987,
2.117206731621425,
0.2152560063760715
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -40,
"target_ratio": 0.97,
"target_value": -38.8
} | 5 |
16efd0d1722058bdcecd0a47f621047a | matching | adaptive_vqe | {"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": 16, "source": 0, "target": 5}, {"weight": 17, "source": 0, "target": 4}, {"weight": 14, "source": 1, "target": 2}, {"weight": 1... | {"states": [106, 122], "expectation_value": -36.307996635901624, "params": null, "bitstrings": ["10010101", "10000101"], "total_optimization_steps": 100, "probabilities": [0.11792938375629661, 0.18104407076086781], "optimization_time": 159.90653157234192} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(1)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) @ Z(4)) + 3.5 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-66.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 150.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2320663891682014) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.2320663891682014) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.2320663891682014) q[3];
cx q[0], q[3];
rz(-0.8149595538532273) q[0];
rx(-1.000242445136427) q[0];
cx... | null | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"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(8.8595) 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",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
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,
15.5,
10.5,
15,
14,
15,
4,
14,
10
] | 0.769935 | [
0.2320663891682014,
-0.8149595538532274,
0.0868387816876093,
-1.000242445136427,
1.281262008060064,
-1.253765500090689,
-0.48859011360813015,
0.47033374606546463,
-2.483859814368198,
-0.4210188815319589
] | {
"n_parameters": 10,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 289 |
3d2c4840fc401bce028fec43ca4ea0a2 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [1918, 1884], "expectation_value": -6.994665323251429, "params": [[0.0731, 0.22590000000000002], [-0.3491, -0.1502]], "bitstrings": ["00010000001", "00010100011"], "total_optimization_steps": 50, "probabilities": [0.00293737434937001, 0.002937374349370011], "optimization_time": 11.743486642837524} | 0.5 * (Z(0) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(0)) + 1.0 * (Z(1) @ Z(8)) + 0.8571428571428572 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(9)) + 0.5 * (Z(2) @ Z(8)) + 0.4285714285714286 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(9)) + 0.8571428571428572 * (Z(2) @ Z(1)) + -1.0 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(0)) + -1.0 * (Z... | 1 | 11 | 2 | {"smallest_eigenvalues": [-10.857142857142858, -10.857142857142858], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.857142857142856, "smallest_bitstrings": ["00010100011", "00010100101"], "largest_eigenvalue": 47.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[8], q[0];
rz(0.15782028983107857) q[0];
cx q[8], q[0];
h q[9];
cx q[8], q[9];
rz(0.36812915075286373) q[9];
cx q[8], q[9];
cx q[0], q[9];
cx q[8], q[1];
rz(0.36812915075286373) q[1];
cx 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[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIZ",
"IZZIIIIIIII",
"IZIIIIIIIIZ",
"IIZIIIIIIZI",
"IIIIIIIIIZZ",
"IZIIIIIIIZI",
"IIZIIIIIZII",
"IIIIIIIIZIZ",
"IZIIIIIIZII",
"IIIIIIIIZZI",
"IIZIIZIIIII",
"IIIIIZIIIIZ",
"IZIIIZIIIII",
"IIIIIZIIIZI",
"IIIIIZIIZII",
"IIZIZIIIIII",
"IIIIZIIIIIZ",
"IZIIZIIIIII",
"IIIIZIIII... | [
0.5,
1,
0.5,
1,
0.8571428571428572,
1,
0.5,
0.4285714285714286,
0.5,
0.8571428571428572,
-1,
-0.5,
-1,
-1,
-0.5,
-2,
-1,
-2,
-2,
-1,
2,
-2,
-1,
-2,
-2,
-1,
2,
4,
-0.5,
-1,
0.8571428571428572,
-1,
0.2142857142857142,
-1,
0.4285714285714288,
0.2142... | 0.904037 | [
0.15782028983107857,
0.36812915075286373,
0.05367908482160037,
0.2464404202822934,
-0.04684657549976737,
0.042948120839398043,
-0.0008992340614827807,
-0.00236230102455015,
-1.2184746032078073,
1.3077127976608063,
-0.02531249096974855,
0.572218930085531,
-1.3081093294457733,
0.787084670344... | {
"n_parameters": 26,
"n_qubits": 11,
"optimal_eigenvalue": -10.857142857142858,
"target_ratio": 0.97,
"target_value": -10.531428571428572
} | 500 |
c835fa1e3e69cb531a622e34cffeb2bc | 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": 7, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 7}, {"weight": 20, "source": 0, "target": 5}, {"weight": 9, "source": 2, "targ... | {"states": [250, 218], "expectation_value": -26.713118045399014, "params": [[0.0308, 0.0014, -0.023100000000000002], [-0.0825, -0.0579, -0.0262]], "bitstrings": ["100000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.0064050339548542825, 0.007915424476273338], "optimization_time": 6.182815551757... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-91.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 180.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.012688580307125708) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.012688580307125708) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.012688580307125708) q[1];
cx q[0], q[1];
rz(1.5707728208002596) q[0];
rx(1.5719309045425545) q[0];
h q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIIIIZI",
"IZIIIIIZI",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
11.5,
3.5,
19,
18.5,
4.5,
18.5,
3,
23.5,
11
] | 0.951132 | [
0.012688580307125708,
-1.5707841880784301,
1.5707728208002592,
-1.5707826865525911,
-1.5708294960872318,
1.5707747758463055,
-1.5707792663486049,
1.5707593339003678,
1.5719309045425545
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -91.5,
"target_ratio": 0.97,
"target_value": -88.755
} | 231 |
e1ee122704659894b3696f576081a2cf | 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": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 2}, {"weight": 13, "source": 1, "target": 6}, {"weight": 7, "source": 2, "targ... | {"states": [217, 218], "expectation_value": -42.26491461623393, "params": null, "bitstrings": ["100100110", "100100101"], "total_optimization_steps": 100, "probabilities": [0.1663030096086743, 0.18861779229297382], "optimization_time": 165.41627883911133} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 14.5 * Z(1) + 3.0 * Z(0) + 11.0 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 147.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
rz(-pi) q[1];
ry(-1.518671701368228) q[1];
rz(-pi) q[2];
ry(-1.9184711946259563) q[2];
h q[3];
ry(-1.2690479153113619) q[3];
h q[4];
ry(-23.541155883975833) q[4];
ry(-2.629522226413252) q[5];
rz(-pi) q[5];
h q[6];
ry(-0.10390085226328306) q[6];
rz(-pi) q[7];
ry(... | null | {"matching": "perfect", "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(-23.4164) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] =... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IZIIIIZII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14.5,
3,
11,
8,
17,
13,
14.5,
-3,
11
] | 0.97302 | [
-23.541155883975833,
-22.201792305180028,
-10.44860589835898,
27.49141951167771,
-61.96137406619712,
3.080269444625393,
-25.864833907236953,
4.733351032142052,
-3.079267506251181,
-0.039701959139668175,
0.005758186826557363,
5.749940586601983,
-1.5587100755489378,
0.059962355157045386,
0... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -82.5,
"target_ratio": 0.97,
"target_value": -80.02499999999999
} | 94 |
58fa04385078dcdc0b5f9361c481400a | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 1}, {"source": 3, "target"... | {"states": [23479, 23475], "expectation_value": -9.871380478511165, "params": [0.6265000000000001, -0.005, 0.6179, -0.0043, 0.1409, 0.29910000000000003, 0.1442, 0.29600000000000004, 0.5634, 0.0453, 0.5644, 0.07490000000000001, 0.5352, -0.0095, 0.5357000000000001, 0.006, 0.1336, 0.2962, 0.1292, 0.29550000000000004, 0.60... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 7 | 15 | 3 | {"smallest_eigenvalues": [-10.999999999999948], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.999999999999947, "smallest_bitstrings": ["010010001001100"], "largest_eigenvalue": 33.000000000000064} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.47101618974758475) q[0];
rz(-0.16827364835461855) q[0];
rx(0.48551343822356186) q[1];
rz(0.17804732572877252) q[1];
rx(0.32539434813691376) q[2];
rz(0.5457656730524693) q[2];
rx(-0.21683998807139754) q[3];
rz(0.30031640895019224) q[3];
rx(1.2220557292476708) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIZI",
"IIIIIIIZZIIIIII",
"IIIIIIZIIIIIZII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.5,
1.25,
1.25,
1.2... | 0.971822 | [
0.4710161897475848,
-0.09099105680982872,
0.48551343822356186,
0.17804732572877252,
0.32539434813691376,
0.5457656730524693,
-0.21683998807139754,
0.30031640895019224,
1.2220557292476708,
0.00816620436411572,
0.6463337616946943,
0.03026562494828463,
0.5393888844458095,
-0.2593316846640103,... | {
"n_parameters": 71,
"n_qubits": 8,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 45 |
3669556b5012b2bd0210027af1e5ed26 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [83, 255], "expectation_value": -8.322194598654349, "params": null, "bitstrings": ["110101100", "100000000"], "total_optimization_steps": 100, "probabilities": [0.05633343200683513, 0.7768648491281878], "optimization_time": 202.79206657409668} | -0.25 * (Z(0) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + -0.5 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(8)) + -0.75 * (Z(1) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(7) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.03676123032734652) q[0];
h q[1];
ry(0.5071576030418723) q[1];
h q[2];
ry(1.009586282806144) q[2];
h q[3];
ry(0.772850589552062) q[3];
h q[4];
ry(1.5752266574126181) q[4];
h q[5];
cx q[5], q[1];
ry(-0.5071576030418723) q[1];
cx q[5], q[1];
cx q[1], q[3];
ry... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIZIIIZII",
"ZIIIIIZII",
"IIIIIIZZI",
"IIIIIZIZI",
"IIZZIIIII",
"IIIZIIIZI",
"IZZIIIIII",
"ZZIIIIIII",
"IZIIIIZII",
"IZIIIIIZI",
"IIZIZIIII",
"IZIIZIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"... | [
-0.25,
0.5,
-0.5,
-0.75,
-0.75,
-1.25,
-0.5,
-1.75,
-0.25,
-1,
-1,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-1.25,
-0.5,
0,
0.75,
0.25,
1.25,
0.5
] | 0.940312 | [
1.5682343384209747,
1.0143152060837446,
1.545701179104124,
1.462217447312978,
0.7676117492237735,
2.019172565612288,
1.5752266574126181,
0.21327531876877884,
0.8551016235555847,
-0.07352246065469303,
-0.0005168674884650517,
-1.0684414773818585,
2.540422049369729,
-0.4045446587566448,
-0.... | {
"n_parameters": 51,
"n_qubits": 9,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 500 |
109dd65f843c7effe1b685156edca6d7 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "ta... | {"states": [131, 7], "expectation_value": -22.144854728520976, "params": null, "bitstrings": ["01111100", "11111000"], "total_optimization_steps": 91, "probabilities": [0.061083088251108565, 0.5844873633809463], "optimization_time": 179.05635786056519} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + ... | 11 | 8 | 4 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.020614379663043705) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.020614379663043705) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.020614379663043705) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.020614379663043705) q[3];
cx q[1], ... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.197) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIZIIIZI",
"IIZIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
2.75,
2.75,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
-7,
-7.5,
-7.25,
-7,
-7,
-6.5,
-6.5,
-6.25
] | 0.971073 | [
0.020614379663043705,
-0.06563921442885634,
-0.6869657315794282,
-1.4972446815351845,
-1.3570263320892326,
0.5300986815983618,
0.06960159444877413,
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-0.028121845837364642,
-0.9009106158759526,
-0.10227264967403488,
-0.5108808338805213,
0.830325209... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 70 |
-215686296995066948 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4, 6, 7], [2, 3, 4, 6], [1, 4, 6, 7], [1, 5]]} | {"states": [249, 243], "expectation_value": -0.4938781383104544, "params": [[-0.3874], [0.3775]], "bitstrings": ["00000110", "00001100"], "total_optimization_steps": 40, "probabilities": [0.008059760480233356, 0.00805976048023336], "optimization_time": 1.4836580753326416} | 0.08333333333333333 * (Z(0) @ Z(4)) + 0.25 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.08333333333333333 * (Z(3) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.25, -1.25, -1.25, -1.25, -1.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.2499999999999998, "smallest_bitstrings": ["11100000", "11010000", "00010101", "00001100", "00100101"], "largest_eigenvalue": 3.4999999999999996} | 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(-0.1524305742326109) q[0];
cx q[4], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(-0.038201292137207035) q[6];
cx q[4], q[6];
cx q[0], q[6];
rz(-0.1524305742326109) q[6];
cx q[0], q[6];
h q[7];
cx q[4], q[7];
rz(-0.478... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(x0) q[0];
cx q[4],... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IZIZIIII",
"IZIIIIIZ",
"ZIIZIIII",
"ZIIIIIIZ",
"ZZIIIIII",
"IIIZIZII",
"IZIIIZII",
"IIIZZIII",
"IZIIZIII",
"IIIIZZII",
"IIIZIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IIZIIIZI",
"IIIZIIII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIIZIII",
"IIIIIIZI",
"IIZIIII... | [
0.08333333333333333,
0.25,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.... | 0.807683 | [
-0.1524305742326109,
-0.038201292137207035,
-0.4789288877749952,
-1.5347587732667645,
-1.1748898614161518,
-0.4492643938401904,
0.45745727614921516,
0.8648891709215094
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -1.25,
"target_ratio": 0.97,
"target_value": -1.2125
} | 189 |
c0497b20d0e680cacc77174a13e8b8b4 | 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": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [35, 98], "expectation_value": -3.489091634651248, "params": null, "bitstrings": ["1011100", "0011101"], "total_optimization_steps": 30, "probabilities": [0.06071916604708699, 0.8639381839606569], "optimization_time": 32.36414575576782} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(6) + 0.0 * Z(0) + -1.5 * Z(3) + -0.5 * Z(1) + -1.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 1 | 7 | 4 | {"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": ["1011100", "0011101", "0111001", "1001110", "0001111", "0101011"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(-0.0034026311700899) q[1];
cx q[3], q[1];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(-0.0034026311700899) q[0];
cx q[6], q[0];
rz(0.08707718680774468) q[0];
rx(1.6068609355902328) q[0];
cx q[6], q[4];
rz(-0.00340263117008... | 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", ... | [
"ZIIIIIZ",
"IIIZIZI",
"ZIZIIII",
"IIZZIII",
"IIZIIZI",
"IIIZZII",
"IZIZIII",
"IZIIZII",
"ZIIIIII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IIIIZII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1.5,
-0.5,
-1,
-0.5,
-0.5
] | 0.970369 | [
-0.0034026311700899,
-0.26301475790782497,
0.08707718680774458,
1.5595170852256997,
1.5988629064548665,
1.6068609355902328,
-1.5706328661308941,
1.6822012540344695,
-0.1845861633258411,
1.1352603352915303,
0.43534770012848195,
-0.05375233225482663,
-0.1953687365154703,
3.189745870967778,
... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 166 |
-1613028681259023292 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 3, 5, 6, 7], [0, 2, 4, 7], [0, 1, 4, 7], [8, 1, 2, 4], [0, 1, 2, 3, 8], [1, 2, 3, 4, 7], [1, 2, 3, 5, 6], [8, 3, 6], [0, 5, 6, 7, 8]]} | {"states": [187, 455], "expectation_value": -1.1204957767657202, "params": [[-0.3435], [0.3478]], "bitstrings": ["101000100", "000111000"], "total_optimization_steps": 40, "probabilities": [0.005206246593422795, 0.005215002713519571], "optimization_time": 4.873340845108032} | 0.2 * (Z(2) @ Z(3)) + 0.1 * (Z(5) @ Z(3)) + 0.1 * (Z(5) @ Z(2)) + 0.26666666666666666 * (Z(6) @ Z(3)) + 0.1 * (Z(6) @ Z(2)) + 0.15000000000000002 * (Z(6) @ Z(5)) + 0.1 * (Z(7) @ Z(3)) + 0.18333333333333335 * (Z(7) @ Z(2)) + 0.1 * (Z(7) @ Z(5)) + 0.1 * (Z(7) @ Z(6)) + 0.05 * (Z(0) @ Z(3)) + 0.13333333333333333 * (Z(0) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.0833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0000000000000004, "smallest_bitstrings": ["000111000"], "largest_eigenvalue": 8.999999999999998} | 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[2];
rz(2.810494335428885e-07) q[2];
cx q[3], q[2];
h q[4];
h q[5];
cx q[3], q[5];
rz(-4.4411685739283414e-09) q[5];
cx q[3], q[5];
cx q[2], q[5];
rz(-4.4411685739283414e-09) q[5];
cx q[2], q[5];
h q[6];
cx q[3], q[6];
rz(1.3348... | 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": []} | [
"IIIIIZZII",
"IIIZIZIII",
"IIIZIIZII",
"IIZIIZIII",
"IIZIIIZII",
"IIZZIIIII",
"IZIIIZIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"IIIIIZIIZ",
"IIIIIIZIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IIIIZZIII",
"IIIIZIZII",
"IZIIZIIII",
"IIIIZIIIZ",
"IIIIIZIZI",
"IIIIIIZZI",
"... | [
0.2,
0.1,
0.1,
0.26666666666666666,
0.1,
0.15000000000000002,
0.1,
0.18333333333333335,
0.1,
0.1,
0.05,
0.13333333333333333,
0.05,
0.05,
0.21666666666666667,
0.05,
0.21666666666666667,
0.21666666666666667,
0.16666666666666666,
0.15000000000000002,
0.23333333333333334,
0.05,... | 0.96 | [
2.810494335428885e-7,
-4.4411685739283414e-9,
1.334859879361798e-7,
4.919598882892506e-8,
-1.4871279883297876e-8,
2.289734150276756e-8,
2.7909959358676386e-8,
-1.9440147068341604e-8,
-3.141592485313379,
-0.37942638509384613,
-3.1204426479575896e-8,
-1.5707962666942197,
1.570796266393733,
-... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -2.0833333333333335,
"target_ratio": 0.97,
"target_value": -2.0208333333333335
} | 495 |
756d3d75bc595261d2d71e6ce1da2290 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, {"source": 4, "target": 6}, ... | {"states": [60, 108], "expectation_value": -3.999089679918524, "params": null, "bitstrings": ["1000011", "0010011"], "total_optimization_steps": 32, "probabilities": [0.06552749627239239, 0.933832594648185], "optimization_time": 23.78583550453186} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -0.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0010011", "1000011"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
rz(-pi) q[1];
ry(-3.1338857358335) q[1];
h q[2];
ry(-0.5495864328688317) q[2];
cx q[0], q[2];
ry(0.5495864328688317) q[2];
cx q[0], q[2];
ry(1.072113664172264) q[0];
ry(-0.6043302756706039) q[2];
h q[3];
ry(1.5675370816886918) q[3];
h q[4];
ry(1.5670727524580514... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"ZIIIZII",
"ZIIIIIZ",
"ZZIIIII",
"IZIIIZI",
"IZIZIII",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"ZIIIIII",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1.5,
-1,
0,
0,
0
] | 0.995006 | [
-1.4177423017673916,
-1.5120016892075459,
1.5670727524580514,
1.5675370816886918,
-1.0991728657376634,
0.7345278817596457,
-0.24050535976088688,
-0.33733855362944315,
0.6751715648252363,
-0.5339834440823218,
0.10410437489350649,
-0.09932875554942433,
0.021932325724995955,
0.057329098589386... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
18c5f7c2ce8331e800bea78b71ea2f0c | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"sour... | {"states": [225, 224], "expectation_value": -0.40043727178026867, "params": [[-0.0251], [0.031400000000000004]], "bitstrings": ["00011110", "00011111"], "total_optimization_steps": 10, "probabilities": [0.004391395315011445, 0.004431153407589315], "optimization_time": 0.6413614749908447} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -3.0 * (Z(3) @ Z(4)) + -3.0 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(3)) + -3.0 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(5)) + -3.0 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["00011111"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.570796304563947) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.570796304563947) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(2.0136769585121783e-08) q[1];
rx(1.57079633672853) q[1];
rz(1.570796304563947) q[2];
cx q[0], q[2];
rz(2.0136769... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1],... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIZIIII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
-1.5,
-1.5,
-1.5,
-3,
-3,
-2.5,
-3,
-2.5,
1,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-2,
1.5,
-1.5,
1
] | 0.612008 | [
1.570796304563947,
-1.9829496903805785e-9,
0.6156751170975091,
-0.059653119697282535,
2.013676934040073e-8,
1.5707962875962194,
1.5707963714949147,
1.5707963367285303
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 263 |
5575b19e97d5a5b0b45755000e82f544 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 1, "s... | {"states": [374, 119], "expectation_value": -13.414262415723796, "params": null, "bitstrings": ["010001001", "110001000"], "total_optimization_steps": 89, "probabilities": [0.1463946274555705, 0.8073519033383842], "optimization_time": 188.10908818244934} | -0.75 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(7) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(7)) + -0.75 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(7)) + -0.5 * (Z(4) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-14.0, -14.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.0, "smallest_bitstrings": ["110001000", "110001100"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.560634012014881) q[0];
h q[1];
ry(-1.7818099631713982) q[1];
h q[2];
ry(1.587798887121975) q[2];
h q[3];
ry(0.7777315728674038) q[3];
h q[4];
ry(1.5554631457348076) q[4];
cx q[4], q[3];
ry(-0.7777315728674038) q[3];
cx q[4], q[3];
h q[5];
ry(-1.78180996317... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIIIZZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIIZIIIZI",
"IZIIIIIZI",
"IIIZIIZII",
"IZIIIIZII",
"IIZIIZIII",
"IIIZIZIII",
"IZIIIZIII",
"IIIIIZZII",
"IIIIZIIZI",
"IZIIZIIII",
"IIIIZIZII",
"IIIIZZIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIIIIZIII",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"... | [
-0.75,
-0.75,
-0.5,
-1,
-1,
-0.75,
-1,
-0.75,
-1,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
-0.75,
1.5,
-0.5,
-1,
-0.75,
-1.25,
-0.25,
0.5,
-2.75,
0,
1,
1.5,
2,
-0.75
] | 0.971696 | [
-1.7818099631713982,
1.5554631457348076,
-1.121268024029762,
0.9931676756380406,
-0.755965766479885,
1.587798887121975,
1.683067034217062,
0.4404709774126895,
-0.17300126679497613,
0.20768426428671805,
0.6997905193865639,
0.4719656890649042,
-0.055505934170919854,
0.17107727775494777,
-0... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 5 |
726a5ae01318539d56f80c3be6bbd791 | 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": -3.990478910462606, "params": [0.0285, 0.032600000000000004, -0.0015, -0.0049, 0.24400000000000002, 0.2456, 0.30010000000000003, 0.3052, -0.0018000000000000002, 0.0, 0.0304, 0.028, 0.0368, 0.028200000000000003, 0.0008, -0.0022, 0.24300000000000002, 0.2368, 0.2995, 0.3062, -0.002... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 14 | 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", "110011", "101101", "011011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.26735938862423486) q[0];
rz(0.10893230624247693) q[0];
ry(0.1491965529302104) q[1];
ry(0.1605882734467805) q[2];
ry(0.5179101632285602) q[3];
ry(0.44091074970939437) q[4];
ry(0.20939928831505905) q[5];
ry(1.2941176658595661) q[6];
ry(0.9604711128290605) q[7];
ry(-... | 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",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-0.5
] | 0.97497 | [
0.26735938862423486,
0.1491965529302104,
0.1605882734467805,
0.5179101632285602,
0.44091074970939437,
0.20939928831505905,
1.2941176658595661,
0.9604711128290605,
-0.3821283109988437,
1.7024078434950567,
0.054818503108896285,
0.21786461248495387,
-0.7416832374606571,
-0.39822474854642687,
... | {
"n_parameters": 126,
"n_qubits": 11,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 62 |
01c509cf41fe904ef36f9c73fa58f4df | 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}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [126, 110], "expectation_value": -57.39829728668405, "params": [0.1598, 0.3542, 0.7921, 0.1572, 0.7844, 0.0021000000000000003, 0.3442, 0.2369, 0.7883, 0.0907, 0.7836000000000001, -0.0077, 0.7831, 0.0083, 0.0945, 0.3668, 0.15610000000000002, 0.3504, 0.7909, 0.16970000000000002, 0.7901, 0.0058000000000000005, ... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(3) @ Z(6)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(4) @ Z(6)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 10.0 * Z(1) + 2.0 * Z(0) + 13.0 * Z(2) + 17.5 * Z(5) + 1... | 3 | 8 | 4 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -56.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 134.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.6067730635277808) q[0];
ry(0.0068978171400194965) q[0];
rz(-2.165295187823308) q[0];
rz(-0.9320305873596415) q[1];
ry(2.9546423754659843) q[1];
rz(1.5962878589443843) q[1];
rz(1.94887746650212) q[2];
ry(0.10017209095800164) q[2];
rz(-2.4547303306903094) q[2];
rz(-2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIZII",
"IZZIIIII",
"IIIIZIZI",
"IIZIZIII",
"IZIIZIII",
"IIZZIIII",
"IZIZIIII",
"IIIZZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
2,
13,
17.5,
10.5,
10,
16.5,
0.5
] | 0.977898 | [
0.0034511417619457353,
0.07195304533925116,
1.2739833284948667,
-0.123054125877101,
0.005011551244307841,
0.3973837165633978,
1.905775237438528,
0.06934632738707407,
-0.07347402081215618,
0.21084071151892464,
0.02816020830904334,
-0.5182778496141923,
1.303011955708514,
0.0862986415836879,
... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 24 |
c57625ce2de67c1086ad1c24582707c2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [21, 5], "expectation_value": -4.249622881933726, "params": null, "bitstrings": ["101010", "111010"], "total_optimization_steps": 14, "probabilities": [0.24998087632969399, 0.24998460488181462], "optimization_time": 9.999145984649658} | -0.75 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * Z(2) + -0.25 * Z(0) + 0.5 * Z(1) + -0.75 * Z(4) + 0.75 * Z(5) + 0.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.25, "smallest_bitstrings": ["111110", "101010", "111010", "101110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-pi) q[0];
ry(-0.04555174660829865) q[0];
h q[1];
rz(-pi) q[2];
ry(-0.04555174660829865) q[2];
h q[3];
h q[4];
ry(-0.7617454856021101) q[4];
h q[5];
ry(1.6259872692335873) q[5];
cx q[5], q[4];
ry(0.7617454856021101) q[4];
cx q[5], q[4];
ry(0.03538166069087447) q[5];
... | 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[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIZIZ",
"IIIZZI",
"IZIZII",
"ZIIZII",
"ZIIIIZ",
"IZZIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
-0.75,
-0.5,
-0.25,
-0.25,
1,
-0.5,
-0.75,
-0.25,
0.5,
-0.75,
0.75,
0.5
] | 0.994308 | [
1.6259872692335873,
-1.6769397797965455,
-1.5234909712042202,
0.07076332138174894,
0.09535941020082443,
0.07848445490394958,
0.12118341278670078
] | {
"n_parameters": 7,
"n_qubits": 6,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 1 |
11576eab70c2ec583415b5e8bd58f9e2 | 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": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": ... | {"states": [60, 85], "expectation_value": -2.7648600014917717, "params": null, "bitstrings": ["1000011", "0101010"], "total_optimization_steps": 43, "probabilities": [0.08152110833948295, 0.6219423513065092], "optimization_time": 47.22768783569336} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(2) @ Z(6) @ Z(3)) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["0101010", "1000011"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3716796306065885) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.3716796306065885) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.3716796306065885) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.3716796306065885) q[4];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIZZIIZ",
"ZIIIIZI",
"IIIZZII",
"ZIIIZII",
"ZIIZIII",
"ZIIZZII",
"IZZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
-0.25,
0,
0,
-0.25,
-1,
-0.25
] | 0.698312 | [
-0.3716796306065885,
0.8727381071204077,
0.7179543098390148,
-0.19857375753212136,
0.8889599314407369,
-1.5807265779890087,
2.4860629174438844,
1.2068334987105587,
0.4724410059780224
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 259 |
8f10d6fbc1f6100cc49a5e43ecae2ea3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 5}, {"weight": 13, "source": 1, "target": 6}, {"weight": 6, "source": 2, "target": 3}, {"... | {"states": [110, 109], "expectation_value": -18.32877450102719, "params": [[0.040400000000000005, 0.0068000000000000005, -0.0089], [-0.0731, -0.049600000000000005, -0.0334]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.012431646833196058, 0.015363879066484929], "optimizat... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 9.5 * Z(1) + 1.0 * Z(0) + 6.5 * Z(2) + 14.5 * Z(4) + 3.0... | 1 | 8 | 3 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 125.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.15608686303447616) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.15608686303447616) q[2];
cx q[0], q[2];
rz(-0.7850017041664485) q[0];
rx(-0.046842893956655196) q[0];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.15608686303447616) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
9.5,
1,
6.5,
14.5,
3,
14,
11,
18
] | 0.971452 | [
-0.15608686303447616,
0.46652307578517876,
-0.7850017041664477,
0.9199353917160591,
0.9147883167695685,
0.09053092803155553,
1.1194711629506844,
0.9234693794083586,
1.335718423763292,
-0.046842893956655175,
0.10463370217857586,
0.4928843088586032,
-0.5179596281193316,
1.0637372107273424,
... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -63.5,
"target_ratio": 0.97,
"target_value": -61.595
} | 51 |
a89074e95587e4f236cbdd64c5508a42 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "... | {"states": [3576, 4088], "expectation_value": -13.052170945048923, "params": [0.0434, 0.33990000000000004, -0.014700000000000001, 0.0099, -0.8795000000000001, 2.3199, -0.4546, 0.00030000000000000003, -0.9713, 2.1369000000000002, 0.5357000000000001, 0.0044, 1.0562, 1.3091000000000002, -0.6982, 0.0077, -1.0476, 1.1286, 0... | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(8) @ Z(4)) + -1.5 * (Z(8) @ Z(7)) + -2.0 * (Z(9) @ Z(10)) + 1.0 * (Z(11) @ Z(10)) + -... | 6 | 12 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["000000000111"], "largest_eigenvalue": 24.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.09378255546975445) q[0];
rz(2.438999597638487) q[0];
rx(-1.511505325317274) q[1];
rz(-1.6133792076993902) q[1];
rx(0.002471584483550743) q[2];
rz(-2.660398497269652) q[2];
rx(0.9028404154967599) q[3];
rz(1.526558325776505) q[3];
rx(-1.2153566548275117) q[4];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 12} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIZIZIIII",
"IIIIZZIIIIII",
"IIIIZIIZIIII",
"IIIIIZZIIIII",
"IIIIIIZZIIII",
"IIIZIIIZIIII",
"IIIZZIIIIIII",
"IZZIIIIIIIII",
"ZZIIIIIIIIII",
"ZIZIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIII... | [
-2,
0.5,
-1.5,
-1.5,
0.5,
-2,
0.5,
-2,
-1.5,
0.5,
0.5,
-1.5,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1.5,
-1.5
] | 0.971102 | [
-0.09378255546975443,
0.8682032708435901,
-1.511505325317274,
3.0990097726852994,
0.0024715844835507435,
2.0519904831150373,
0.90284041549676,
-0.04423800101839129,
-1.2153566548275117,
0.05487013995782595,
-1.2361212788202776,
0.055781610777436756,
-1.3965825475576021,
-0.0379196912740723... | {
"n_parameters": 57,
"n_qubits": 12,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 181 |
-2136234981179467318 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2, 5], [0, 3, 5, 6], [0, 1, 5, 6], [1, 2, 3, 4, 5]]} | {"states": [93, 125], "expectation_value": -0.8281019918313323, "params": [[[3.1445000000000003, 0.0068000000000000005], [1.6675, 0.0048000000000000004], [3.1439000000000004, 0.0023], [2.5037000000000003, 0.0031000000000000003], [3.1443000000000003, 0.0047], [0.48800000000000004, 0.0015], [3.1441000000000003, 0.0065000... | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.13333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.21666666666666667 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(2)) + 0.05 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.05 * (Z(3) @ Z(2)) + 0.13333333333333333 * (... | 1 | 7 | 1 | {"smallest_eigenvalues": [-0.9500000000000001, -0.9500000000000001, -0.9500000000000001], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.9499999999999998, "smallest_bitstrings": ["0010101", "0000110", "0000010"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.002867215565518978) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.0898557734975952) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.044548055919786174) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(-0.00184925162668539... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIZIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZZIIIII",
"ZIIZIII",
"IIZIIZI",
"IIZIZII",
"IZZIIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIIZIII",
"ZIIIIII",
"IIZ... | [
0.16666666666666666,
0.13333333333333333,
0.08333333333333333,
0.21666666666666667,
0.25,
0.13333333333333333,
0.05,
0.08333333333333333,
0.05,
0.13333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.05,
0.05,
0.05,
0.05,
0.35000... | 0.970971 | [
-0.002867215565518978,
-0.0898557734975952,
-0.044548055919786174,
-0.0018492516266853942,
-0.7508706771041682,
-0.01639681240552938,
-1.780586702423995,
-1.8269067541859725,
-1.643261587351674,
1.5011765938372126,
-1.4430134241209993,
0.0589282526661382,
1.608122097338606
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -0.9500000000000001,
"target_ratio": 0.97,
"target_value": -0.9215
} | 64 |
ec6139c2fcbba9e4bbe1827c645fae75 | 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": [238, 230], "expectation_value": -76.6207647976436, "params": [0.24930000000000002, -0.20950000000000002, 0.7902, 0.0117, 0.7821, -0.0009000000000000001, 0.7811, 0.0066, 0.003, 0.5860000000000001, 0.3604, 0.25520000000000004, 0.7843, -0.0007, 0.7866000000000001, 0.004, -0.0068000000000000005, 0.506, 0.2513, ... | 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(0) @ Z(3)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(1) @ Z(3)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(6) @ Z(2)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(8) @ Z(7)) + 20.0 * Z(2) + 15.0 * Z(3) + 7.5 * Z(0) + 22.0 * Z(1) + 1... | 18 | 9 | 4 | {"smallest_eigenvalues": [-85.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.5, "smallest_bitstrings": ["100011001"], "largest_eigenvalue": 165.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.21745104398781553) q[0];
rz(-0.5786080396566544) q[0];
rx(0.6139666220298836) q[1];
rz(0.0409207222270654) q[1];
rx(0.7382233306878264) q[2];
rz(-0.04898998795264494) q[2];
rx(0.8012737123220709) q[3];
rz(0.18973071520680235) q[3];
rx(-0.07987807186953319) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZII",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIZIIIZI",
"IIZIIIZII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIZIIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
20,
15,
7.5,
22,
10,
9,
15,
-5,
-6
] | 0.97415 | [
0.21745104398781556,
-0.2691746227322711,
0.6139666220298836,
0.0409207222270654,
0.7382233306878264,
-0.04898998795264494,
0.8012737123220709,
0.18973071520680235,
-0.07987807186953319,
0.5094158815588283,
0.11360499221941113,
0.2640543709382899,
0.8566123314336025,
-0.28034141246401467,
... | {
"n_parameters": 99,
"n_qubits": 9,
"optimal_eigenvalue": -85.5,
"target_ratio": 0.97,
"target_value": -82.935
} | 6 |
db7bdfb6ee94a36848a9fd983ceba634 | 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": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 6, "source": 1, ... | {"states": [1, 65], "expectation_value": -10.903320130574178, "params": [[[0.0032, 0.0092], [1.5826, 0.0023], [0.0027, 0.0081], [-0.0027, 0.0097], [-0.0025, 0.003], [-0.0027, 0.0025], [0.0023, 0.0095], [1.6046, 0.006900000000000001]]], "bitstrings": ["11111110", "10111110"], "total_optimization_steps": 160, "probabilit... | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(7)) + -1.75 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.25 * Z(7) + 1.5 * Z(1) + 0.0 * Z(4) + -1.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-17.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["10111110"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.14039623119325925) q[0];
rz(0.5275495493461682) q[0];
rx(1.320633293684479) q[1];
rz(-0.37084208291648135) q[1];
rx(0.10075084016578803) q[2];
rz(0.0887312811211598) q[2];
rx(0.07445349494960915) q[3];
rz(0.4716776547025745) q[3];
rx(0.0012203990205976458) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIZIZII",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-1.5,
-1,
-1,
2.75,
-1.5,
-1.75,
-0.75,
-1.25,
-0.5,
-0.25,
0,
-0.25,
-0.75,
1.25,
1.5,
0,
-1.5,
-0.25
] | 0.971311 | [
0.14039623119325925,
0.5697069044918339,
1.320633293684479,
0.002656640722524764,
0.10075084016578803,
0.2745350143407175,
0.07445349494960915,
0.21127976559546266,
0.0012203990205976456,
-0.2957591951349129,
0.8364192648053017,
0.179559348742313,
0.6253163906217188,
1.5230369812904816,
... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -17.75,
"target_ratio": 0.97,
"target_value": -17.2175
} | 14 |
cfce8a7ce499a9354975589c4bdbc313 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 5}, {"weight": 19, "source": 1, "target": 2}, {"weight": 18, "sourc... | {"states": [466, 338], "expectation_value": -53.393963221428756, "params": [[[0.9018, 0.0037], [0.4753, 0.2101], [0.8867, 0.0039000000000000003], [0.0228, 0.42250000000000004], [0.9062, 0.0038], [0.0955, -0.3936], [0.0028, 0.45520000000000005], [0.9009, -0.0028], [-0.0023, 0.6792]], [[0.9024000000000001, 0.0037], [0.48... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + -0.5 * Z(1) + 4.5 * Z(0) + 0.5 * Z(2) + -4.0 * Z(3) + 4.... | 1 | 9 | 3 | {"smallest_eigenvalues": [-61.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["010101101"], "largest_eigenvalue": 76.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(0.38727260916352524) q[0];
ry(3.056459656170765) q[0];
rz(-2.606979866450037) q[0];
rz(1.3752808714375195) q[1];
ry(0.592269726789707) q[1];
rz(-1.7255528583952462) q[1];
rz(1.956260642917771) q[2];
ry(2.5842864853857415) q[2];
rz(-1.1358691851751477) q[2];
rz(0.7848... | 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\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIIZI",
"IZIIIIIZI",
"IZIZIIIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
-0.5,
4.5,
0.5,
-4,
4,
-1.5,
-4,
-1.5,
-13.5
] | 0.972787 | [
0.9916896841912558,
-0.04581831131959325,
0.13727193133389576,
-0.22717860519506652,
0.9044313019735669,
0.11275729396850691,
0.04435038605786819,
0.3516542165453631,
1.034258359320544,
-0.061519425169630465,
0.011730567028201279,
-0.4148418295751709,
-0.256170461519925,
0.7404150724096554... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -61,
"target_ratio": 0.97,
"target_value": -59.17
} | 7 |
a12167d92b99eced507bf6abc58f9b3b | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [96, 9], "expectation_value": -0.19344463669973982, "params": [[-0.0441], [0.0539]], "bitstrings": ["0011111", "1110110"], "total_optimization_steps": 10, "probabilities": [0.008306164833074675, 0.008306164833074677], "optimization_time": 1.7275490760803223} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * Z(3) + -1.5 * Z(0) + -0.5 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["1110110", "1101110", "1110011", "1011011", "0011111", "1111001", "1101011", "0101111"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.7711795064500494) q[0];
rz(-0.026404203268140164) q[0];
ry(-0.10074902148764961) q[1];
rz(-0.25894003279860156) q[1];
cz q[1], q[0];
ry(1.2493231974560228) q[0];
rz(0.0013212152176097502) q[0];
ry(0.10613416276879395) q[1];
ry(0.9442505162235159) q[2];
rz(0.099299... | 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[0], q[4];
rz(x0) q[4];
cx q[0], q[4]... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZIIIZ",
"IZIZIII",
"IZIIIIZ",
"ZIIIIIZ",
"ZIZIIII",
"ZZIIIII",
"IIIZIZI",
"IZIIIZI",
"ZIIIIZI",
"IIIZZII",
"IZIIZII",
"IIIIZZI",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-0.5,
-2,
-1.5,
-1.5,
-1
] | 0.970262 | [
0.7711795064500494,
-0.026404203268140164,
-0.10074902148764961,
-0.25894003279860156,
0.9442505162235159,
0.09929995747044852,
0.3493413706629419,
-0.2676184730638463,
0.21843456743659198,
-0.27261330959162605,
0.7376427729034467,
0.11569324165414256,
-0.9368843856581821,
0.13026629646627... | {
"n_parameters": 107,
"n_qubits": 13,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 63 |
34d5dc2e9aad35b904c913d8064475cf | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 4}, {"weight": 14, "source": 0, "target": 8}, {"weight": 19, "sourc... | {"states": [69, 325], "expectation_value": -36.55585168915939, "params": [[[0.5966, 0.0008], [0.3685, -0.12250000000000001], [0.6017, -0.0011], [-0.0008, -0.3935], [0.0022, 0.4601], [0.0017000000000000001, 0.36310000000000003], [0.6073000000000001, -0.0008], [-0.0024000000000000002, 0.31370000000000003], [0.6106, 0.003... | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + -2.0 * Z(2) + 1.0 * Z(0) + -3.0 * Z(1) + -9.5 * Z(3) + -9.5 * Z(5) + -7.0 * Z(4) + -2.0 * Z(6) + -8.... | 1 | 9 | 3 | {"smallest_eigenvalues": [-61.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.0, "smallest_bitstrings": ["010111010"], "largest_eigenvalue": 94.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-1.6494726613948478) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-0.2282545894292129) q[1];
rz(-pi) q[2];
ry(-1.5758659650345728) q[2];
h q[3];
ry(63.96144940718184) q[3];
cx q[3], q[1];
ry(-3.5090997176923766) q[1];
cx q[3], q[1];
ry(5.855094360550592) q[3];
cx q[1], 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": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIZZIIII",
"IIZIIIIZI",
"IZZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
-2,
1,
-3,
-9.5,
-9.5,
-7,
-2,
-8.5,
-3.5
] | 0.972058 | [
63.806887745058965,
17.338271785296804,
63.96144940718184,
7.018199435384753,
11.710188721101185,
4.5318791449975,
1.5633390008792403,
-0.12690827253619685,
0.47597344806441794,
-0.3120845216869001,
0.35421875147235715,
-0.06875244303751611,
0.2948575552749345,
-0.08224529955035009,
0.46... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -71,
"target_ratio": 0.97,
"target_value": -68.87
} | 121 |
a5a32c53707adac7f9e2e89e005d6cef | 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": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target":... | {"states": [415, 511], "expectation_value": -0.7489418400445363, "params": [[0.0776], [-0.0702]], "bitstrings": ["001100000", "000000000"], "total_optimization_steps": 10, "probabilities": [0.002873250282414438, 0.0028732502824144386], "optimization_time": 1.4841372966766357} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * (Z(7) @ Z(4)) + -2.0 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(8) + 0.5 * Z(6) | 5 | 9 | 1 | {"smallest_eigenvalues": [-11.5, -11.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.5, "smallest_bitstrings": ["000000000", "001100000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-2.484383910114169) q[0];
rz(-1.51884410263151) q[0];
rx(-1.897970709746683) q[1];
rz(-1.4688179192980773) q[1];
rx(-0.07082805868703322) q[2];
rz(1.1163996830687442) q[2];
rx(-0.05471733875695272) q[3];
rz(-1.6510842305915876) q[3];
rx(2.357940307221001) q[4];
rz(-1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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(x1) q[2... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIZZIIII",
"IZIZIIIII",
"IZIIZIIII",
"ZIIZIIIII",
"ZIIIZIIII",
"IIZZIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIZIIIIII"
] | [
-1,
-1.5,
-2,
0.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.971961 | [
-2.484383910114169,
3.1935448777531796,
-1.897970709746683,
3.243571061086613,
-0.07082805868703322,
-0.4543966437261523,
-0.05471733875695273,
3.0613047497931025,
2.357940307221001,
3.2001535138793584,
-3.2369755667008655,
2.4231363548542784,
0.7342108761666231,
3.1641802158799206,
0.42... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 257 |
6cfd499277502d6e85a2cad6ec018ed8 | 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}], "edges": [{"... | {"states": [245, 213], "expectation_value": -76.07300589590803, "params": [0.031400000000000004, -0.137, 0.0303, -0.1436, 0.39440000000000003, 0.0666, 0.3909, 0.031100000000000003, 0.39680000000000004, 0.0614, 0.3889, 0.0286, 0.1767, -0.1044, 0.17250000000000001, -0.11330000000000001, 0.3915, 0.0877, 0.3899, 0.0507, 0.... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(7) @ Z(8)) + 14.5 * Z(1) + 0.5 * Z(0) + 11.0 * Z(2) + 5.0 * Z(3) + 14.0 * Z(4) + 2.0 * Z(5)... | 5 | 9 | 4 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["100101010"], "largest_eigenvalue": 127.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.1749996822747575) q[0];
rz(-0.3161486606440289) q[0];
rx(0.6762166850990429) q[1];
rz(-0.0180481611487342) q[1];
rx(0.11994579669813699) q[2];
rz(-0.015332612482553465) q[2];
rx(0.18658720176667437) q[3];
rz(0.29765430591966524) q[3];
rx(0.5503661135065657) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIZIZIIII",
"IIZZIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
14.5,
0.5,
11,
5,
14,
2,
14,
15,
-4
] | 0.970953 | [
0.17499968227475754,
-0.42860664269484877,
0.6762166850990429,
0.01636420344807811,
0.11994579669813699,
-0.02137576424289863,
0.18658720176667434,
0.11361130312767424,
0.5503661135065657,
0.25801200622049314,
-0.09758576402208127,
-0.010418889033077708,
0.011314197825767064,
-0.1580952646... | {
"n_parameters": 170,
"n_qubits": 9,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 66 |
1879128391348251179 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 3], [0, 1, 2, 5], [0, 2, 4], [0, 4, 5], [3, 5]]} | {"states": [44, 27], "expectation_value": -0.03907595187985898, "params": [[-0.0644], [0.0718]], "bitstrings": ["010011", "100100"], "total_optimization_steps": 10, "probabilities": [0.016492014443976764, 0.01656919082732769], "optimization_time": 2.45932674407959} | 0.5 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.1... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.9166666666666672], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["100100"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.02132711625038025) q[0];
rz(1.144399653956913) q[0];
rx(3.083495696038945) q[1];
rz(0.10124929024016784) q[1];
rx(2.988836646608125) q[2];
rz(-0.016883511472259444) q[2];
rx(0.07372624190774471) q[3];
rz(0.3115407903331431) q[3];
rx(3.0931853542760788) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[1... | null | {"circuits": [], "gradients": []} | [
"IIZIZI",
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"ZIZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"IZIIIZ",
"IZIZII",
"ZZIIII",
"IIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.08333333333333333,
0.08333333333333333,
0.25,
0.5,
0.08333333333333333,
0.25,
0.08333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0,
0.1250000000000001,
0.45833333333333326,
0.29166666666666663,
0.29166666666666685,
0.3333333333333333
] | 0.994392 | [
-0.02132711625038025,
1.144399653956913,
3.083495696038945,
0.10124929024016784,
2.988836646608125,
-0.016883511472259444,
0.07372624190774471,
0.3115407903331431,
3.0931853542760788,
0.3462851317501425,
3.032673934643837,
0.2321973104193496
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -1.9166666666666672,
"target_ratio": 0.97,
"target_value": -1.859166666666667
} | 13 |
27e77dc99416ada4c5d281f5cb59d253 | 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": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4... | {"states": [32, 55], "expectation_value": -5.395897748204695, "params": null, "bitstrings": ["1011111", "1001000"], "total_optimization_steps": 39, "probabilities": [0.11292546284772562, 0.72450709291946], "optimization_time": 43.31044840812683} | -0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(3) + -0.... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.75, "smallest_bitstrings": ["1001000", "1000000"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.001861280777779208) q[0];
ry(-0.5773662085055048) q[1];
ry(-0.10758590765451301) q[2];
ry(0.021903783796151637) q[3];
ry(-0.008785686069597308) q[4];
ry(-0.055595892079957104) q[5];
ry(2.7673418599787256) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3],... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[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", "... | [
"IIIZIIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZZII",
"IIIIZZI",
"IIZZIII",
"ZIZIIII",
"IIZIIZI",
"IIZIZII",
"IZIZIII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII",
"IZIIIII"
] | [
-0.25,
0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-1,
-0.25,
-0.5,
1.5,
-0.5,
0.5,
0.25
] | 0.977551 | [
-0.001861280777779208,
-0.5773662085055048,
-0.10758590765451301,
0.021903783796151637,
-0.008785686069597308,
-0.055595892079957104,
2.7673418599787256,
0.05934540510533431,
0.06567533265908135,
-0.0026966537146873096,
0.0024350819685033907,
-0.12588591029733984,
-0.04433102940974164,
-0.... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 21 |
a7b6961c0e010c5cd9220aed7c02d87e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 1}, {"capaci... | {"states": [9, 11], "expectation_value": -4.30224190305436, "params": [[[0.0025, 1.5230000000000001], [-0.0028, 1.8285], [0.8558, 0.3357], [-0.0029000000000000002, 1.7597], [0.8481000000000001, 0.3512], [1.5693000000000001, -0.0016]], [[0.0025, 0.0006000000000000001], [-0.0028, 0.0001], [0.8558, 0.0098], [-0.0029000000... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.75 * Z(2) + 0.25 ... | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["110100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.001959798150095337) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.001959798150095337) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.3815866551963541) q[2];
cx q[1], q[2];
rz(0.3815866551963541) q[3];
cx q[0], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IIIZZI",
"IIZZII",
"ZIIIIZ",
"ZIIZII",
"IZIIZI",
"IZZIII",
"IZIZII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IIIZII",
"ZIIIII",
"IZIIII"
] | [
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
1,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-0.75,
0.75,
0.25,
0.75
] | 0.685194 | [
0.001959798150095337,
0.3815866551963541,
-0.02024676984199178,
1.5645802848410972,
-1.559643606159173,
-1.5674598134785187,
1.542213756241811
] | {
"n_parameters": 7,
"n_qubits": 6,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 175 |
620c5e3cf2d64d6e0bef2d4f36603b45 | 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": [287, 31], "expectation_value": -71.84119277702386, "params": [0.8235, 0.2672, -0.006200000000000001, 0.0471, -0.0026000000000000003, -0.9619000000000001, 0.7802, 0.23750000000000002, 1.2985, 0.0125, 1.2888000000000002, -0.005, 1.2984, 0.0047, 1.2990000000000002, 0.1358, 1.2850000000000001, 0.2361, 0.8191, 0... | 7.0 * (Z(0) @ Z(4)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(6) @ Z(0)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(8) @ Z(4)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(7) @ Z(3)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(7) @ Z(8)) + 22.5 * Z(4) + 10.0 * Z(0) + 9.5 * Z(3) + 21.0 * Z(6) + 1... | 18 | 9 | 2 | {"smallest_eigenvalues": [-96.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.0, "smallest_bitstrings": ["111100000"], "largest_eigenvalue": 219.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.23784141867602038) q[0];
rz(-0.37924462174318085) q[0];
rx(0.1982602502018564) q[1];
rz(0.28497038996619106) q[1];
rx(0.017293425114536493) q[2];
rz(-0.14464272455718263) q[2];
rx(0.4415308750396405) q[3];
rz(-0.12807257347581927) q[3];
rx(3.1427949741917542) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IIIIZZIII",
"IIZIZIIII",
"IIZIIIIIZ",
"IIIZIZIII",
"IIZZIIIII",
"ZIIIZIIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IZIIIZIII",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIZIIIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIIIIZI",
"IIIIIIZII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
22.5,
10,
9.5,
21,
14,
19.5,
15.5,
-11,
-12
] | 0.975499 | [
0.23784141867602038,
-0.17447622002341093,
0.1982602502018564,
0.28497038996619106,
0.017293425114536493,
-0.14464272455718263,
0.4415308750396405,
-0.12807257347581927,
3.1427949741917542,
3.26428913513024,
0.42688038792282834,
3.3283218771803402,
0.339156165013145,
2.8887264326239195,
... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -96,
"target_ratio": 0.97,
"target_value": -93.12
} | 13 |
a7fe9655fedac9f37abdc7d4a012da3d | 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}], "edges": [{"... | {"states": [268, 332], "expectation_value": -24.14095197833467, "params": [[[0.5974, 0.0012000000000000001], [0.376, -0.10060000000000001], [0.6002000000000001, -0.0014], [0.32070000000000004, 0.1393], [0.1937, -0.1928], [0.6023000000000001, -0.0005], [0.6032000000000001, -0.0022], [0.3477, 0.1355], [0.0004, 0.39730000... | 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 0.0 * Z(0) + 4.5 * Z(2) + -2.5 * Z(1) + 0.5 * Z(5) + -5.... | 1 | 9 | 3 | {"smallest_eigenvalues": [-61.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.0, "smallest_bitstrings": ["010110011"], "largest_eigenvalue": 82.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(1.2790384476836998) q[0];
ry(3.0002491490684897) q[0];
rz(-2.031654340180219) q[0];
rz(1.490504217951405) q[1];
ry(0.10138309172821829) q[1];
rz(-1.9026069027207688) q[1];
rz(-2.8016043199304006) q[2];
ry(2.860913433082975) q[2];
rz(0.27275306655222664) q[2];
rz(-0.9... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIZIIZII",
"IIIIIZIIZ",
"IIIZIZIII",
"IIIZZIIII",
"IIIIZZIII",
"IIZIIIIZI",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIIZIII",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
0,
4.5,
-2.5,
0.5,
-5,
-4,
-0.5,
-3.5,
-11.5
] | 0.97645 | [
1.2301513440425897,
-0.021793986393531223,
0.08711383020311662,
-0.11369424043079654,
1.1704140022789695,
0.15212594734457377,
-0.06736676122343682,
-0.8290514795560854,
-0.10888137604159033,
-0.21619727330157346,
0.8132006335726836,
0.07917705693021121,
0.9259403780693289,
0.1231523904464... | {
"n_parameters": 47,
"n_qubits": 9,
"optimal_eigenvalue": -61,
"target_ratio": 0.97,
"target_value": -59.17
} | 25 |
e58428a6900eb2eef0cb4731fd8b4a99 | 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": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6... | {"states": [5, 1], "expectation_value": -0.17514426242034056, "params": [[0.0366], [-0.0337]], "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 10, "probabilities": [0.008488087152874909, 0.008570870786646492], "optimization_time": 1.9864170551300049} | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(6) @ Z(1)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(4) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + -2.5 * Z(5) + 1.75 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-11.5, -11.5, -11.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.5, "smallest_bitstrings": ["1111110", "1010010", "1011110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(1.690944416721413) q[0];
ry(0.054699542645833876) q[0];
rz(-1.1769404323163797) q[0];
rz(-2.3881872169052443) q[1];
ry(0.20723270974804353) q[1];
rz(-2.857031240934929) q[1];
rz(-2.4596888100774237) q[2];
ry(0.14080968323527931) q[2];
rz(-2.993631691840007) q[2];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"ZIIIIZI",
"ZIIIIIZ",
"IIIZIZI",
"IIIZZII",
"IZIZIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
-0.5,
-1.25,
-1,
-0.5,
-0.75,
-0.75,
2.5,
-0.75,
-0.75,
-0.25,
-0.5,
1.5,
-0.25,
-0.75,
-2.5,
1.75,
0.25,
0
] | 0.989705 | [
-0.022892677441185116,
0.2110669709326137,
-0.27094094257024,
0.6131998797071878,
-0.20111098885694167,
0.503350945250638,
0.020546732618873385,
0.3028834781091834,
0.2617247912178288,
0.41607371001171256,
-0.16363397257810378,
0.563891452430853,
0.8878830733377374,
-0.0634222979567583,
... | {
"n_parameters": 35,
"n_qubits": 7,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 9 |
b112e2ea9564e5424aa1ebbe167f5e45 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [7, 5], "expectation_value": -6.999999951634066, "params": null, "bitstrings": ["11111000", "11111010"], "total_optimization_steps": 22, "probabilities": [0.4999999779559535, 0.4999999779559535], "optimization_time": 21.757583379745483} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(4)) + 1.25 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(5)) + 0.0 * Z(1) + -0.25 * Z(0) + -0.5 * Z(3) + 1.75 * Z(5) + -1.0 * Z... | 1 | 8 | 1 | {"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 ... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"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 |
cde6b48ed870286595c1455af7aff8bd | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [2, 0], "expectation_value": -0.20465895042917245, "params": [[-0.0562, -0.058300000000000005, -0.07970000000000001], [0.0712, 0.0626, 0.0731]], "bitstrings": ["101", "111"], "total_optimization_steps": 10, "probabilities": [0.13237966963091438, 0.14437053544592765], "optimization_time": 1.8358573913574219} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0) @ Z(1)) + -0.75 * Z(0) + -0.75 * Z(1) + -0.75 * Z(2) | 1 | 3 | 3 | {"smallest_eigenvalues": [-1.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["111"], "largest_eigenvalue": 3.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[3] c;
qubit[3] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IZZ",
"ZIZ",
"ZZI",
"ZZZ",
"IIZ",
"IZI",
"ZII"
] | [
0.25,
0.25,
0.25,
-0.25,
-0.75,
-0.75,
-0.75
] | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
f1b068fc40fef7d6cc3e7d18798d8c8a | 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, 362], "expectation_value": -57.358805761228574, "params": [2.6056, 0.0055000000000000005, 1.5591000000000002, 0.0059, 2.607, 0.0041, 2.6019, 0.0027, 1.3901000000000001, 0.004, 2.5965000000000003, 0.0051, -0.003, 0.0037, 2.6058000000000003, 0.007500000000000001, 0.0028, 0.0092, 0.0086, 0.0005, 0.0025, 0... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(2) @ Z(1)) + 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(8) @ Z(7)) + 8.5 * Z(0) + 8.5 * Z(1) + 14.0 * Z(2) + 12.5 * Z(3) + 9.0 * Z(5) + 7.5 * Z(4) + 10.0 * Z(7) + -5.0 *... | 18 | 9 | 1 | {"smallest_eigenvalues": [-82.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["010010101"], "largest_eigenvalue": 122.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.9575765677214934) q[0];
rz(0.42100098545444053) q[0];
rx(0.27987791196013) q[1];
rz(-0.23955329198727807) q[1];
rx(3.0834816825591043) q[2];
rz(0.08765283416405592) q[2];
rx(3.121165171122679) q[3];
rz(-0.05340044206870592) q[3];
rx(0.14231323603470228) q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIZIZIII",
"IIIIZIZII",
"IIIIZZIII",
"IIIZZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
8.5,
8.5,
14,
12.5,
9,
7.5,
10,
-5,
-3
] | 0.981242 | [
2.9575765677214934,
0.36091981971344306,
0.27987791196013,
-0.23955329198727807,
3.0834816825591043,
0.08765283416405592,
3.121165171122679,
-0.05340044206870592,
0.14231323603470228,
-0.5679971949524608,
3.188699763475288,
0.04143495399835178,
0.299621981481705,
0.4657616830064362,
3.28... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -82,
"target_ratio": 0.97,
"target_value": -79.53999999999999
} | 15 |
f20b14ccaf46fd91ed39b9c05edbe906 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target"... | {"states": [10, 20], "expectation_value": -0.22374962573212367, "params": [[0.0526, 0.058100000000000006], [-0.0476, -0.042100000000000005]], "bitstrings": ["10101", "01011"], "total_optimization_steps": 10, "probabilities": [0.0353634948288524, 0.03536349482885242], "optimization_time": 2.2728028297424316} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.0 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["00111", "01011", "10101"], "largest_eigenvalue": 8.0} | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(x0... | null | {"circuits": [], "gradients": []} | [
"IZIIZ",
"ZZIII",
"ZIIIZ",
"ZIIZI",
"IZZII",
"ZIZII",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1.5,
-0.5,
-1
] | 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 |
b426b8aff164c6823b185eb6b091738d | 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": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [18, 28], "expectation_value": -0.3027082435862871, "params": [[-0.0524, -0.0747], [0.0641, 0.0714]], "bitstrings": ["101101", "100011"], "total_optimization_steps": 10, "probabilities": [0.018839042572088405, 0.020500395206351944], "optimization_time": 3.076420545578003} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(5) + -1.0 * Z(4) + -0.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(3.146586182667847) q[0];
rz(-0.4960671937553839) q[0];
ry(-0.1292922814490114) q[1];
rz(-0.6985758714498361) q[1];
cz q[1], q[0];
ry(0.043070532367504924) q[1];
ry(-0.04475695876475132) q[2];
rz(0.6631600359423698) q[2];
ry(0.5756435583956447) q[3];
rz(-0.14283149628... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"ZIIIZI",
"IZIZII",
"ZZIIII",
"ZIZIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IZIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-1,
-1,
-0.5
] | 0.988667 | [
3.146586182667847,
-0.4960671937553839,
-0.1292922814490114,
-0.6985758714498361,
-0.04475695876475132,
0.6631600359423698,
0.5756435583956447,
-0.14283149628386937,
0.09442180069266345,
2.7246196860446945,
0.021535266183752462,
3.2207334379454498,
-1.152313102082496,
-0.5291711248863585,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 27 |
209492d0ebde0c4941c69f20876abb8e | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 6, "source": 0, "t... | {"states": [342, 218], "expectation_value": -22.360836730279566, "params": [[0.0253, 0.0038], [-0.0664, -0.0689]], "bitstrings": ["010101001", "100100101"], "total_optimization_steps": 10, "probabilities": [0.005393288333857291, 0.006556842521206389], "optimization_time": 3.638096332550049} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(0)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 173.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-1.6129533872423376) q[0];
rz(-pi) q[0];
ry(-2.7133984904150865) q[1];
rz(-pi) q[1];
ry(-1.1246832916142324) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.06990389825150062) q[3];
ry(-2.492509573069741) q[4];
rz(-pi) q[4];
rz(-pi) q[5];
ry(-2.5261241041441176) q[5];
h q[6];
ry(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_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIIIZZII",
"IIIZIIIIZ",
"IIIZIIZII",
"IIZIIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14,
12,
17.5,
19.5,
3,
16.5,
8.5,
17.5,
-2.5
] | 0.975696 | [
10.121101282315646,
-12.319882261664342,
16.707062439924574,
-0.04620449146954514,
5.408766694090489,
39.2881569578351,
2.200931497780031,
1.3504497871600263,
-12.3896475105252,
11.461956828246157,
-21.13442863499262,
-11.125335305707027,
17.15160517466839,
-4.001693389476348,
3.76601143... | {
"n_parameters": 79,
"n_qubits": 9,
"optimal_eigenvalue": -86.5,
"target_ratio": 0.97,
"target_value": -83.905
} | 72 |
894a3266b9ae796e98ef82933298f939 | 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": 0, "target": 3}, {"source": 0, "target": 4},... | {"states": [2047, 63], "expectation_value": -24.003110245008425, "params": [[[0.0025, 0.0058000000000000005], [0.0024000000000000002, 0.007], [0.0025, 0.006200000000000001], [0.0023, 0.0054], [1.5786, 0.0059], [-0.0026000000000000003, 0.0027], [0.0026000000000000003, 0.0027], [-0.006900000000000001, 0.0004], [-0.0027, ... | -3.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + -3.0 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + 0.... | 2 | 11 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.5, "smallest_bitstrings": ["11111000000"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.04552726657446021) q[0];
rz(-0.05078304643503122) q[0];
rx(0.009886144509574243) q[1];
rz(-0.03725666287148371) q[1];
rx(0.04552726657446021) q[2];
rz(-0.1002798385251991) q[2];
rx(-0.028707425513524336) q[3];
rz(0.05386852244412306) q[3];
rx(1.7675851910687421) 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": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IIIIZZIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZ... | [
-3,
-2.5,
-3,
-3,
-2.5,
1,
-2.5,
1,
-2,
0.5,
-1.5,
-1.5,
0.5,
-1.5,
0.5,
-1.5,
1.5,
-2,
1,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.980309 | [
0.04552726657446021,
-0.05078304643503122,
0.009886144509574243,
-0.03725666287148371,
-0.1002798385251991,
-0.028707425513524336,
0.05386852244412306,
1.7675851910687421,
-0.010257944192900732,
-0.048238428459967564,
0.07099984631679805,
-0.046641538024949324,
0.10540716148303861,
0.03509... | {
"n_parameters": 20,
"n_qubits": 11,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 1 |
97ca0c94fcd24ad3246a39e3c99d207c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"sour... | {"states": [120, 248], "expectation_value": -4.955428603417153, "params": [-0.0117, -0.0143, 0.2841, 0.2776, 0.3069, 0.30610000000000004, 0.3084, 0.31, 0.3035, 0.3022, 0.3059, 0.3022, 0.0879, 0.08710000000000001, -0.0008, 0.0011, -0.0027, -0.00030000000000000003, -0.0086, -0.017, 0.2752, 0.28, 0.30720000000000003, 0.30... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(8)) + -0.5 * Z(2) + -2.0 * Z(0) + -1.0 *... | 13 | 9 | 3 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["100000111"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.0121015443962139) q[0];
rz(-0.022701486656798484) q[0];
ry(0.5772213465802969) q[1];
ry(0.5874488622514491) q[2];
ry(0.4834511469228555) q[3];
ry(0.4166190437286592) q[4];
ry(0.3405268185054272) q[5];
ry(-0.0955571298301082) q[6];
ry(0.09913199563341428) 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": []} | [
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"IZIZIIIII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIZIZIIII",
"IIZIIIIZI",
"ZIIIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIZIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2,
-1,
-0.5,
-1.5,
-1.5,
-1,
-0.5,
0
] | 0.978037 | [
-0.0121015443962139,
0.5772213465802969,
0.5874488622514491,
0.4834511469228555,
0.4166190437286592,
0.3405268185054272,
-0.0955571298301082,
0.09913199563341428,
0.03499650704359785,
-0.04540297331359697,
0.029662377580497362,
-0.1878307108504323,
-0.08450809063259486,
-0.2037810954775854... | {
"n_parameters": 97,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 11 |
7785e3e7ad6fcc746d4b86c67fd57c41 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 3... | {"states": [5, 37], "expectation_value": -6.2834762142184255, "params": [0.0041, 0.1532, 0.0148, 0.3104, -0.2368, -0.4726, -0.0349, -0.4409, -0.0057, 0.041800000000000004, -0.0025, 0.25520000000000004, 0.0018000000000000002, 0.3453, 0.018600000000000002, 0.45530000000000004, -0.2841, 0.4556, -0.2323, 0.1624000000000000... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + 1.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 1.5 * Z(4) + 2.25 * Z(1) + -2.5 * Z(3) + -1.25 * Z(5)... | 6 | 7 | 4 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["1011010", "1010010"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.4770183040301989) q[0];
h q[1];
ry(1.5600588358649419) q[1];
rz(-pi) q[2];
ry(-0.049828445060759584) q[2];
cx q[1], q[2];
ry(0.39130269635166626) q[2];
cx q[1], q[2];
ry(-0.009441086677882307) q[1];
ry(0.17246191439933098) q[2];
h q[3];
ry(-1.1835966050189... | 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": []} | [
"IIIIZIZ",
"IIZIIIZ",
"IIIIZZI",
"IIZIIZI",
"IIZZIII",
"IIIZIZI",
"IZIIZII",
"IZIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.25,
-0.75,
-0.25,
-0.25,
-1.25,
-1.25,
-0.75,
-0.5,
1.25,
-1.25,
0.25,
-0.25,
1.5,
2.25,
-2.5,
-1.25,
0
] | 0.971442 | [
-1.1835966050189877,
-1.9623389505959945,
-0.3056669926877728,
0.6498635111692677,
1.5600588358649419,
-0.9540366080603978,
-1.22932207550399,
-0.7826053927033325,
-0.5557969344496055,
-0.018882173355764614,
0.4002954472560074,
1.22108309746494,
0.34492382879866196,
1.3682006687738621,
0... | {
"n_parameters": 15,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 72 |
dad38620d773633bef63523b985cc4e3 | 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}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "ta... | {"states": [0, 3], "expectation_value": -1.3579124992549452, "params": [[0.0752], [-0.0733]], "bitstrings": ["1111111", "1111100"], "total_optimization_steps": 10, "probabilities": [0.011320004555116725, 0.011800688392499621], "optimization_time": 0.8878254890441895} | -2.5 * (Z(0) @ Z(2)) + 1.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(4)) + -2.0 * (Z(3) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -2.5 * Z(2) + -2.0 * Z(0) + -2.0 * Z(4) + 1.5 * Z(1) + -2.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.24981548689144512) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.6064908864021876) q[1];
rz(-pi) q[2];
ry(-0.13914387638666512) q[2];
h q[3];
ry(-1.6064908864021876) q[3];
h q[4];
ry(-1.6064908864021876) q[4];
h q[5];
ry(0.9318717701780149) q[5];
h q[6];
cx q[6], q[5];
ry(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(x1)... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIZII",
"IIZIIIZ",
"IIIIZZI",
"IIIIIZZ",
"IIIZZII",
"IIIZIIZ",
"IIZZIII",
"IIIZIZI",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IZIIIII"
] | [
-2.5,
1,
-2,
-2.5,
0.5,
1,
0.5,
0.5,
-2,
-1,
-2.5,
-2,
-2,
1.5,
-2.5,
0.5,
0.5
] | 0.970165 | [
-1.6064908864021876,
-1.5304245341144085,
-1.5054957192055463,
1.8637435403560298,
1.7142630971988937,
0.41888738842191353,
-0.40131913225229343,
-0.512005429504395,
-0.6739855231293809,
-0.408888967952031,
0.34819861737409885
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 47 |
69144809aea48cb46eae9c3950f24a15 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [56954, 56955], "expectation_value": -19.588304640026433, "params": [[[0.9168000000000001, 0.06520000000000001, 0.0006000000000000001, 0.0049], [-0.22060000000000002, 0.0001, 0.1824, 0.009600000000000001], [-0.1469, 0.0175, 0.0094, 0.0159], [0.6643, -0.1631, 0.5792, 0.0085], [0.0045000000000000005, -0.011600... | 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(... | 12 | 16 | 4 | {"smallest_eigenvalues": [-20.49999999999982], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.49999999999978, "smallest_bitstrings": ["0010000110000100"], "largest_eigenvalue": 69.5000000000003} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.12397642308111168) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.12397642308111168) q[0];
cx q[1], q[0];
rz(-1.0412824378997723) q[0];
rx(-0.6835570607299903) q[0];
rz(0.6551677416149957) q[1];
rx(-0.6835570607299903) q[1];
rz(-1.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] 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... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 3}, {"id": 1}, {"id": 0}, {"id": 2}], "edges": [{"source": 3, "target": 0}, {"source": 1, "target": 0}, {"source": 1, "target": 2}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIZIII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIIIZIIZI",
"IIIIIIIIIIIZZIII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIZIIZIIII",
"IIIIIIIIIIZZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.25,
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0.5,
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0.5,
0.25,
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0.5,
0.5,
0.5,
0.5,
0.5,
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0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,... | 0.983631 | [
0.12397642308111168,
-1.0412824378997723,
0.6551677416149958,
-0.6835570607299902,
0.023146836072959226,
-0.5048269617904716,
0.6814886991250588,
-0.7325852103426811,
0.006386053532258323,
-0.47655542685563346,
0.11597712833781966,
-0.2813397718212035
] | {
"n_parameters": 12,
"n_qubits": 3,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
92527c1e1b76418d857008afc54c7f9c | 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": 4}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 1, "source": ... | {"states": [2048, 2047], "expectation_value": -8.37997413550387, "params": [[[0.0013000000000000002, -0.08650000000000001], [0.005, 0.003], [0.0013000000000000002, -0.0029000000000000002], [0.0115, 0.0025], [0.006500000000000001, 0.0022], [0.0078000000000000005, 0.002], [0.0061, 0.0022], [0.009300000000000001, 0.002], ... | -0.5 * (Z(0) @ Z(6)) + -0.25 * (Z(10) @ Z(0)) + -0.25 * (Z(3) @ Z(6)) + 1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(10)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(10)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(11) @ Z(10)) + -0.5 * (Z(11) @ Z(4)) + -0.5 * (Z(11) @ Z(5)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(... | 15 | 12 | 2 | {"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["100000000000", "100000110000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.08861638219167989) q[0];
ry(0.26629652514128066) q[1];
ry(0.08861638219167989) q[2];
ry(0.17280138893354693) q[3];
ry(0.05058409524681014) q[4];
ry(-0.009692798528297051) q[5];
ry(-0.24814503452420655) q[6];
ry(-0.16596465005730912) q[7];
ry(0.28502672529658346) 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": 11} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIIZ",
"IZIIIIIIIIIZ",
"IIIIIZIIZIII",
"IIIIIIIIZIIZ",
"IZIIIIIIIIZI",
"IIIIIIIIZIZI",
"IZIIIIIZIIII",
"IIIIIIZIIIZI",
"IIIIIIZZIIII",
"ZZIIIIIIIIII",
"ZIIIIIIZIIII",
"ZIIIIIZIIIII",
"IIIIZZIIIIII",
"IIIIIZIIIZII",
"IIIIIIIIZZII",
"IIIIIIZIIZII",
"ZIIIIIIIIZII",
"IIIIZIIII... | [
-0.5,
-0.25,
-0.25,
1,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
0,
-0.25,
0.25,
-0.25,
-0.75,
0,
-0.25,
-0.5,
-0.25,
0.25,
1.25,
0.5
] | 0.974707 | [
0.08861638219167989,
0.26629652514128066,
0.17280138893354693,
0.05058409524681014,
-0.009692798528297051,
-0.24814503452420655,
-0.16596465005730912,
0.28502672529658346,
0.15115070408330172,
0.029892032300406365,
2.682381680688221,
-0.016183929494221105,
-0.022176840368762496,
0.07838606... | {
"n_parameters": 42,
"n_qubits": 12,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 36 |
fb354d60453679d679afcbc2ef259e36 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [33, 26], "expectation_value": -0.10060858153260836, "params": [[0.0553], [-0.0514]], "bitstrings": ["011110", "100101"], "total_optimization_steps": 10, "probabilities": [0.01652293850905214, 0.016882002979932545], "optimization_time": 1.131331443786621} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) | 1 | 6 | 1 | {"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;
rx(0.771457845796399) q[0];
rz(0.20583293908457456) q[0];
rx(0.9226641717609871) q[1];
rz(0.16372671104574926) q[1];
cx q[1], q[0];
rz(-0.04382293817596074) q[0];
cx q[1], q[0];
rx(0.7533216915569005) q[0];
rz(0.05206125349230284) q[0];
rz(0.06315738960408568) q[1];
rx(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(x0) q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"IZIIIZ",
"IZZIII",
"ZIIIZI",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-0.5,
-1,
-1,
-0.5
] | 0.97422 | [
0.7714578457963991,
0.16201000090861373,
0.9226641717609871,
0.16372671104574926,
1.1584520372173939,
-0.006876482614402969,
0.0444164020346387,
0.25393271130854,
-0.047803904028318286,
-0.03324698493440209,
-0.03689418107124742,
0.10406937110530717,
0.643156446848987,
0.15964110472260815,... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 13 |
cab30abb7b2f0a82dfbd763ddb64ab77 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 5},... | {"states": [1839, 2047], "expectation_value": -18.384736385936826, "params": null, "bitstrings": ["00011010000", "00000000000"], "total_optimization_steps": 100, "probabilities": [0.0904674146312826, 0.4030362545401064], "optimization_time": 276.38801431655884} | -2.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(3)) + -2.0 * (Z(7) @ Z(5)) + -2.5 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + -1.... | 1 | 11 | 1 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.8537290870386398) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.0993162182345855) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.39992425135609455) q[1];
rx(1.0003776102064528) q[1];
rz(0.09947137847186463) q[2];
cx q[0], q[2];
rz(0.965... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[3], 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[... | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIIIZIZIII",
"IIIIZIZIIII",
"IIIIZIIZIII",
"IIIIZZIIIII",
"IIIZIIZIIII",
"IIIZIIIZIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZ... | [
-2,
-1.5,
0.5,
-2,
0.5,
-2.5,
-2,
-2.5,
1,
0.5,
1,
-2,
-2.5,
-1.5,
-1.5,
-1.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.593555 | [
0.8537290870386398,
1.0993162182345855,
0.09947137847186463,
0.6593947890475286,
0.3999242513560946,
0.9658343043508715,
1.0003776102064528
] | {
"n_parameters": 7,
"n_qubits": 11,
"optimal_eigenvalue": -22.5,
"target_ratio": 0.97,
"target_value": -21.825
} | 180 |
edc3bac605c0e8fb4f027513dd92e8fb | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [6, 20], "expectation_value": -0.023038485148919444, "params": [[-0.024], [0.0224]], "bitstrings": ["11001", "01011"], "total_optimization_steps": 10, "probabilities": [0.03155345044913207, 0.03155345044913207], "optimization_time": 1.4768142700195312} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + -0.5 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["01011", "11001"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.16175234084033957) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.16175234084033957) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.16175234084033957) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.16175234084033957) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(x0) q[3];
cx q[0... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"ZZIII",
"IIZZI",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1.5,
-0.5
] | 0.972373 | [
-0.16175234084033957,
-1.87532801107341,
-0.05801357308838576,
0.10605362145925226,
-1.1416650171566816,
0.4399114001229122,
1.0360662674525876,
-1.009520344317765,
0.7718866700779633,
-0.5658460915133537,
0.2880179831430165,
-2.7932233839467817,
-0.24448320489468112,
-0.7290022026259505,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 239 |
b3430a7a5a7846c97441f35820d47c84 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [33, 97], "expectation_value": -5.071943097586519, "params": null, "bitstrings": ["1011110", "0011110"], "total_optimization_steps": 38, "probabilities": [0.13262953598809551, 0.6775037254021123], "optimization_time": 38.65944242477417} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011110"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-1.108879766134531) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
ry(-0.3516677727460137) q[2];
h q[3];
ry(-1.593249089494895) q[3];
h q[4];
ry(-0.3516677727460137) q[4];
cx q[1], q[4];
ry(0.3516677727460137) q[4];
cx q[1], q[4];
ry(1.2846215168941915) q[1];
ry(-0.686288719035... | 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",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIIZ",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"ZIIIZII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"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,
-1.5,
-1.5,
-1.5,
-1,
-1.5,
-1,
-0.5
] | 0.975713 | [
-1.593249089494895,
-0.7610973356940154,
-0.7033355454920274,
1.1866022252764412,
-0.43584830422961574,
0.19603858323550014,
0.3391240726814657,
-0.7546312527850684,
-0.5008808296114101,
0.5983615500672997,
1.8625187327051302,
-0.365480050857801,
-0.07502380661129479,
-0.03747054021570255,... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 11 |
9d0fda9991561362ccfc12e66c38b9f5 | 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": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [52, 35], "expectation_value": -0.08709442281773587, "params": [[-0.0414], [0.050800000000000005]], "bitstrings": ["001011", "011100"], "total_optimization_steps": 10, "probabilities": [0.016420159148603664, 0.016420159148603668], "optimization_time": 1.6226451396942139} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(2) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(5) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "011100", "001011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.05915602651802649) q[0];
rz(-0.15469163530750052) q[0];
rx(3.4191362901712914) q[1];
rz(0.45246714787639103) q[1];
rx(0.17983961904902268) q[2];
rz(-0.05096309531274679) q[2];
rx(3.0050058723652) q[3];
rz(1.0763901855253808) q[3];
rx(3.085973281590634) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIIZZI",
"ZIIZII",
"ZIIIZI",
"IIZZII",
"ZIZIII",
"IZIZII",
"IZZIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-0.5,
-1,
-1,
-0.5
] | 0.971457 | [
-0.05915602651802648,
-0.1292100876511263,
3.4191362901712914,
0.45246714787639103,
0.17983961904902268,
-0.05096309531274679,
3.0050058723652,
1.0763901855253808,
3.085973281590634,
0.20126058805128294,
3.3609533359992207,
0.3973179116121901,
0.08371651178469919,
-0.042244168201899246,
... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 21 |
6079455971109850391 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 6], [0, 2], [0, 3], [0, 4], [0, 5], [1, 7]]} | {"states": [61, 124], "expectation_value": -2.533524029507589, "params": null, "bitstrings": ["11000010", "10000011"], "total_optimization_steps": 57, "probabilities": [0.04917729871243459, 0.8064269032132223], "optimization_time": 77.88359832763672} | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.16666666666666663 * Z(2) + 0.16666666666666663 * Z(1) + 0.16666666666666666 * Z(6) + 0.0 * Z(0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.833333333333333, -2.833333333333333, -2.833333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["11000000", "00111101", "10000011"], "largest_eigenvalue": 3.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.19965052046217344) q[1];
cx q[2], q[1];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(-0.19965052046217344) q[6];
cx q[2], q[6];
cx q[1], q[6];
cx q[2], q[0];
rz(-1.4945630814708064) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIIIZZI",
"IZIIIZII",
"IZIIIIZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"ZIIIIIZI",
"IIIIIZII",
"IIIIIIZI",
"IZIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0.16666666666666663,
0.16666666666666663,
0.16666666666666666,
0,
0,
0,
0,
0
] | 0.539871 | [
-0.19965052046217344,
-1.4945630814708064,
0.04815367189486459,
0.7901149445990312
] | {
"n_parameters": 4,
"n_qubits": 8,
"optimal_eigenvalue": -2.833333333333333,
"target_ratio": 0.97,
"target_value": -2.748333333333333
} | 113 |
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