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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
c31960310eb284d493a369e45529e3bd | 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": 5, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 17, "source": 0, "target": 3}, {"weight": 16, "source": 1, "tar... | {"states": [241, 236], "expectation_value": -23.00058083510737, "params": [[0.0219, 0.0178, -0.002], [-0.046900000000000004, -0.0649, -0.038900000000000004]], "bitstrings": ["100001110", "100010011"], "total_optimization_steps": 10, "probabilities": [0.006878792325135591, 0.007862821956556378], "optimization_time": 6.7... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 16.5 * Z(1) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 172.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.667260209605278e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.667260209605278e-08) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-1.667260209605278e-08) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-1.667260209605278e-08) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIZII",
"IIZIZIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
16.5,
7,
17.5,
12.5,
12.5,
17.5,
10.5,
9.5,
-6
] | 0.859873 | [
-1.667260209605278e-8,
1.5707964046189828,
-1.5707962989502005,
1.5707963666512932,
1.570796331640382,
1.5707964093486493,
-1.5707963413629793,
-1.570796379010887,
-1.570796324325231
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -78.5,
"target_ratio": 0.97,
"target_value": -76.145
} | 247 |
57e4a42254a59ee532f799c4c74dbbc5 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [65, 33], "expectation_value": -13.814109408373914, "params": null, "bitstrings": ["10111110", "11011110"], "total_optimization_steps": 29, "probabilities": [0.30275900946009937, 0.49999904538896256], "optimization_time": 29.631307125091553} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -2.75 * (Z(4) @ Z(3)) + -1.5 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(4)) + -3.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 0.0 * Z(5) + 2.5 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-17.75, -17.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.75, "smallest_bitstrings": ["11111110", "11011110"], "largest_eigenvalue": 17.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.005854303607264674) q[0];
rz(0.3960597459368831) q[0];
rx(-0.013489921067996584) q[1];
rz(0.8659527247617227) q[1];
rx(0.693863413275396) q[2];
rz(-0.07052575540604744) q[2];
rx(0.07980093795002999) q[3];
rz(0.23434034951631544) q[3];
rx(-0.05568818637921519) q[4]... | 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(-1.57) 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... | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIZIII",
"ZIIIIIIZ",
"IIZIIZII",
"IIIZZIII",
"IZIIIIZI",
"IZZIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII"
] | [
-0.25,
-1.5,
-1.5,
-0.5,
-0.25,
2.5,
-0.5,
-2.75,
-1.5,
-1.25,
-0.25,
-3.25,
-0.25,
0.5,
0,
2.5,
0.5,
-0.5,
0.5
] | 0.977064 | [
-0.005854303607264674,
0.5558932394584737,
-0.013489921067996583,
0.6906493351292241,
0.6938634132753959,
0.052719814559119754,
0.07980093795002999,
0.4969877308788506,
-0.05568818637921519,
0.7924222696935164,
0.07016453342192276,
0.8263182994596178,
0.18091812245774114,
-0.56424050298015... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -17.75,
"target_ratio": 0.97,
"target_value": -17.2175
} | 8 |
74f3db266dbfc29b2e3165b97e91cad0 | 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": 6, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [3, 11], "expectation_value": -11.818500652488627, "params": [-0.0015, 0.7847000000000001, 0.004, -0.8569, 0.002, 0.8979, -0.5953, 0.0034000000000000002, 0.0024000000000000002, 0.8971, 1.0566, 0.2253, 1.0492000000000001, -0.0033, -0.0034000000000000002, 0.7272000000000001, 0.002, -0.8042, 0.0038, 0.896, -0.5... | -1.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 3.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -2.25 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.25 * Z(4) + 0... | 3 | 7 | 3 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["1110100"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.04184615944811212) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.45664904095762016) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.12895850687487254) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.12895850687487254) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"IZIIZII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
-1.5,
-0.25,
-1.25,
-1.25,
-1.25,
-0.5,
3.25,
-1.25,
-0.75,
-1.5,
-0.75,
-2.25,
-0.25,
-1.75,
1.25,
0.75,
0,
2.25
] | 0.970066 | [
-0.04184615944811212,
0.45664904095762016,
0.12895850687487254,
-0.03723472961299448,
-0.21737936292996754,
0.029373184406209597,
0.6374450655047218,
0.5801198435909705,
0.9287483803293076,
-1.0246339813489909,
-0.8274406081529805,
-1.1072203716599882,
1.4433797659572527,
-0.16463148373233... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 114 |
646c4ffdec7c3b688313fcfec6df6ea9 | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [17, 14], "expectation_value": -0.1162325733522812, "params": [[0.0723], [-0.0716]], "bitstrings": ["01110", "10001"], "total_optimization_steps": 10, "probabilities": [0.034827277055461396, 0.035422082734721416], "optimization_time": 1.1226778030395508} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["10001"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(1.9669260845713552) q[0];
ry(0.1024795632901214) q[0];
rz(-1.7618896224722536) q[0];
rz(1.3195676915300085) q[1];
ry(2.675781808525202) q[1];
rz(-2.101131985716676) q[1];
rz(0.659445598074063) q[2];
ry(2.9276292745841843) q[2];
rz(-2.5769113250260087) q[2];
rz(-1.592... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[1], q[... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZIZ",
"IZIIZ",
"ZIIZI",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-0.5,
-1
] | 0.973844 | [
-0.03861409541289346,
0.30559213356773784,
0.7326018024600061,
-0.06435106480608022,
0.9547122432617727,
-0.15670419204282596,
1.266054401368888,
0.002295537787968205,
-0.1307986670653961,
0.03183210554700622,
0.016147551089138828,
-0.018645541425944934,
1.0077607251862293,
1.0367697074034... | {
"n_parameters": 27,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 9 |
5670b6e8d896bf594f11101ec7552fed | 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": [175, 174], "expectation_value": -81.05137998861562, "params": [0.0176, 0.0106, 0.4984, 0.49810000000000004, 0.0951, 0.09330000000000001, 0.4884, 0.49110000000000004, 0.1129, 0.0984, 0.4889, 0.48660000000000003, 0.48550000000000004, 0.47940000000000005, 0.4877, 0.4778, 0.23070000000000002, 0.229, 0.004, -0.0... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(6) @ Z(8)) + 6.5 * (Z(6) @ Z(7)) + 8.5 * Z(1) + -5.0 * Z(0) + 1.0 * Z(2) + -4.0 * Z(4) + 9.0 * Z(3) + 22.5 * Z(5)... | 14 | 9 | 3 | {"smallest_eigenvalues": [-93.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -83.0, "smallest_bitstrings": ["101010001"], "largest_eigenvalue": 147.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.018875794795462537) q[0];
rz(pi/2) q[0];
ry(0.7651192279656208) q[1];
ry(-0.002098524983005789) q[2];
ry(0.6976902998294033) q[3];
ry(-0.07268163156036919) q[4];
ry(0.29673422680623934) q[5];
ry(0.3957079033501085) q[6];
ry(0.3949807967058495) q[7];
ry(0.099599725... | 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... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIZZIII",
"IIIZIZIII",
"ZIIZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"ZZIIIIIII",
"IIZZIIIII",
"ZIZIIIIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIZIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
8.5,
-5,
1,
-4,
9,
22.5,
9,
20.5,
14
] | 0.971498 | [
-0.018875794795462537,
0.7651192279656208,
-0.002098524983005789,
0.6976902998294033,
-0.07268163156036919,
0.29673422680623934,
0.3957079033501085,
0.3949807967058495,
0.0995997250499215,
-0.402626327814994,
-0.08381793274983726,
0.05179120679288751,
0.1767669360746907,
0.3851420176689952... | {
"n_parameters": 108,
"n_qubits": 9,
"optimal_eigenvalue": -93,
"target_ratio": 0.97,
"target_value": -90.21
} | 14 |
15323fff8a86688a67a3412302b595a8 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [6368, 7392], "expectation_value": -9.792368978635256, "params": [0.0038, 0.4012, 0.0018000000000000002, 0.4511, 0.6008, -0.0019, 0.6041000000000001, 0.0057, 0.6005, 0.0079, 0.0024000000000000002, 0.391, 0.0061, 0.09380000000000001, 0.5965, -0.0026000000000000003, 0.6082000000000001, 0.0059, 0.6004, -0.00170... | -0.5 * (Z(10) @ Z(4)) + -0.5 * (Z(11) @ Z(4)) + 1.0 * (Z(11) @ Z(10)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(10)) + -0.5 * (Z(5) @ Z(11)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(10)) + -0.5 * (Z(6) @ Z(11)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(7) @ Z(8)) + 2.0 * (Z(9) @ Z(8)) + 1.0 * (Z(9) @ Z(7)) + -0.5 * (Z(0) @ Z(10)... | 18 | 15 | 3 | {"smallest_eigenvalues": [-17.799999999999933], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.999999999999783, "smallest_bitstrings": ["110001100011111"], "largest_eigenvalue": 37.39999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(-0.018028883949639758) q[0];
rz(0.9021455909522267) q[0];
rx(-0.010461068957280077) q[1];
rz(-0.6251513123138588) q[1];
rx(1.2410705536056943) q[2];
rz(0.24837249735736772) q[2];
rx(1.482653069731669) q[3];
rz(0.15733957473157698) q[3];
rx(1.3550375103965857) 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... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZIIII",
"IIIZIIIIIIZIIII",
"IIIZZIIIIIIIIII",
"IIIIIIIIIZZIIII",
"IIIIZIIIIZIIIII",
"IIIZIIIIIZIIIII",
"IIIIIIIIZIZIIII",
"IIIIZIIIZIIIIII",
"IIIZIIIIZIIIIII",
"IIIIIIIIZZIIIII",
"IIIIIIZZIIIIIII",
"IIIIIZZIIIIIIII",
"IIIIIZIZIIIIIII",
"IIIIZIIIIIIIIIZ",
"IIIZIIIIIIIIIIZ",
"... | [
-0.5,
-0.5,
1,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
1,
1,
2,
1,
-0.5,
-0.5,
-1,
-1,
0.8,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
0.5,
0.5,
0.4,
-0.5,
-0.5,
-0.5,
-1,
-1,
-1,
1,
2,
-0.5,
-0.5,
0.5,
0.5,
5,
2.5,
5,
-0.29999999999999993,
-0.60000... | 0.972144 | [
-0.018028883949639758,
0.8606293015385114,
-0.010461068957280077,
-0.6251513123138588,
1.2410705536056943,
0.24837249735736772,
1.482653069731669,
0.15733957473157698,
1.3550375103965857,
0.08163044844034495,
-0.032341474889986954,
0.4495258465063271,
0.12331348944211716,
0.257408835838154... | {
"n_parameters": 75,
"n_qubits": 15,
"optimal_eigenvalue": -17.799999999999823,
"target_ratio": 0.97,
"target_value": -17.265999999999828
} | 19 |
-7829104166610840793 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 3, 7, 8], [8, 2, 3, 7], [8, 2, 5, 7], [0, 3, 5, 6, 7], [1, 2, 3, 5, 7], [0, 1, 5, 7], [0, 1, 2, 4, 6], [1, 2, 5, 6, 7]]} | {"states": [454, 455], "expectation_value": -1.683784266236894, "params": null, "bitstrings": ["000111001", "000111000"], "total_optimization_steps": 53, "probabilities": [0.0720409679872147, 0.7201816124765476], "optimization_time": 117.55569458007812} | 0.18333333333333335 * (Z(0) @ Z(1)) + 0.1 * (Z(3) @ Z(1)) + 0.1 * (Z(3) @ Z(0)) + 0.23333333333333334 * (Z(7) @ Z(1)) + 0.18333333333333335 * (Z(7) @ Z(0)) + 0.23333333333333334 * (Z(7) @ Z(3)) + 0.05 * (Z(8) @ Z(1)) + 0.05 * (Z(8) @ Z(0)) + 0.13333333333333333 * (Z(8) @ Z(3)) + 0.21666666666666667 * (Z(8) @ Z(7)) + 0.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.7500000000000004, -1.7500000000000004, -1.7500000000000004, -1.7500000000000004], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.75, "smallest_bitstrings": ["000111000", "000010110", "000010010", "010000101"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.023209023965781745) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.0403056893760486) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0403056893760486) q[3];
cx q[0], q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[7];
rz(0.041181... | 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(1.5524) 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... | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIZIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZZII",
"IZIIIIZII",
"ZIIIIIZII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIZIII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIZIIZII",
"... | [
0.18333333333333335,
0.1,
0.1,
0.23333333333333334,
0.18333333333333335,
0.23333333333333334,
0.05,
0.05,
0.13333333333333333,
0.21666666666666667,
0.15000000000000002,
0.05,
0.13333333333333333,
0.26666666666666666,
0.16666666666666666,
0.18333333333333335,
0.13333333333333333,
0.... | 0.970285 | [
-0.023209023965781745,
0.0403056893760486,
0.04118170477286692,
-0.017497973495608728,
0.016403453266277915,
-0.04002032122945215,
-0.06188591298251782,
0.006224915949991019,
0.03608271369704998,
0.08200823997906474,
0.02790258844451681,
-1.6565061176996936,
-1.6042490351670098,
1.51219712... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -1.7500000000000004,
"target_ratio": 0.97,
"target_value": -1.6975000000000005
} | 114 |
c481e42d7da0b37a314b8b7c8726899d | 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": [95, 91], "expectation_value": -56.0087554920823, "params": [-0.002, 0.0045000000000000005, 2.9010000000000002, 0.009000000000000001, 1.2665, 0.0022, 2.9013, 0.0026000000000000003, 2.8882000000000003, 0.0076, 1.5630000000000002, 0.0038, 2.8944, 0.0083, 2.895, 0.008700000000000001, 0.0027, 0.008, 0.0019, 0.00... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 11.5 * Z(1) + -3.5 * Z(0) + 7.0 * Z(2) + 9.5 * Z(3) + 21... | 18 | 8 | 1 | {"smallest_eigenvalues": [-68.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10100100"], "largest_eigenvalue": 143.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.027092942245099942) q[0];
rz(1.4300677455331456) q[0];
rx(1.5730024856267992) q[1];
rz(0.20492604183086316) q[1];
rx(-0.023114436645791478) q[2];
rz(0.49352247579539243) q[2];
rx(1.618738856137882) q[3];
rz(-0.03986295434416167) q[3];
rx(1.5780662223481097) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZZII",
"IIIZIIZI",
"IIIZIZII",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
11.5,
-3.5,
7,
9.5,
21.5,
9,
17,
11.5
] | 0.980721 | [
0.027092942245099942,
1.1930698625248446,
1.5730024856267992,
0.20492604183086316,
-0.023114436645791478,
0.49352247579539243,
1.618738856137882,
-0.03986295434416167,
1.5780662223481097,
-0.2963538964804383,
0.23108841805420396,
-0.6399705658938811,
1.3614370865277474,
-0.0266465158994803... | {
"n_parameters": 42,
"n_qubits": 8,
"optimal_eigenvalue": -68.5,
"target_ratio": 0.97,
"target_value": -66.445
} | 10 |
6743507577099325746 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[4, 5], [0, 2], [2, 3], [2, 5], [1, 5], [0, 3], [3, 4], [2, 4]]} | {"states": [29, 13], "expectation_value": -0.0321901301622355, "params": [[[1.419, 0.0078000000000000005], [1.5069000000000001, 0.0041], [1.6708, 0.00030000000000000003], [1.7346000000000001, 0.0037], [1.4428, 0.0005], [1.6509, 0.0002]]], "bitstrings": ["100010", "110010"], "total_optimization_steps": 180, "probabiliti... | 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(1) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.0, "smallest_bitstrings": ["111010", "110010", "100101", "100011", "001101", "000101", "011010", "011100"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[4];
rz(0.5722348519679341) q[4];
cx q[5], q[4];
cx q[5], q[2];
rz(0.5722348519679341) q[2];
cx q[5], q[2];
cx q[4], q[2];
rz(0.5722348519679341) q[2];
cx q[4], q[2];
cx q[2], q[0];
rz(0.5722348519679341) q[0];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} | [
"ZZIIII",
"ZIIZII",
"IZIZII",
"IIIZIZ",
"IZZIII",
"IIZZII",
"IIZIIZ",
"ZIIIZI",
"ZIIIII",
"IZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.585509 | [
0.5722348519679341,
-3.4286987730155464e-8,
-0.6482906373121082
] | {
"n_parameters": 3,
"n_qubits": 6,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 83 |
d73d59d8534bb2db64056b6b376ab049 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, ... | {"states": [254, 127], "expectation_value": -6.50001762639397, "params": [[[-1.6094000000000002, -1.6057000000000001], [-0.0023, -1.5646], [-0.0018000000000000002, -0.0023], [-0.0034000000000000002, 0.0025], [-0.002, 0.0025], [-0.0024000000000000002, -0.0021000000000000003], [3.1435, -0.0025], [0.002, 0.002400000000000... | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(2)) + 1.0 * (Z(7) @ Z... | 15 | 8 | 1 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.005064912194396915) q[0];
h q[1];
h q[2];
ry(0.9589973018286959) q[2];
h q[3];
ry(0.7378068905099483) q[3];
h q[4];
ry(0.7863653826074786) q[4];
cx q[1], q[4];
ry(-0.7863653826074786) q[4];
cx q[1], q[4];
ry(0.615145956876229) q[1];
cx q[4], q[1];
ry(-0.615... | 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",
"IIIIZIIZ",
"IIIIIZZI",
"IIIZIZII",
"IIIZZIII",
"IIIZIIZI",
"IIZIIZII",
"IIZIZIII",
"IIZIIIZI",
"IIZZIIII",
"IZIIIIZI",
"IZZIIIII",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-1,
-0.25,
-0.5,
-1,
-0.5,
-1,
-0.25,
-0.5,
1,
-0.5,
-0.25,
-0.25,
0,
0.25,
0.5,
0,
-0.25,
0
] | 0.964081 | [
1.5727307652149571,
1.230291913752458,
1.37517991160965,
0.01012982438879383,
1.1582819451599344,
1.4756137810198966,
1.9179946036573918,
0.08411732952884575,
-1.5908435587309175,
0.32570684555070145,
-1.2157163442926513,
0.9603941445078414,
-0.34705473550456495,
-0.11276548911115365,
1.... | {
"n_parameters": 53,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 500 |
5e1f1e75ba04327de43b1491321a7511 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 0, ... | {"states": [129, 1], "expectation_value": -11.430586736234044, "params": null, "bitstrings": ["01111110", "11111110"], "total_optimization_steps": 29, "probabilities": [0.34605958487624006, 0.38668553381417664], "optimization_time": 26.318050861358643} | -0.75 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -1.75 * (Z(5) @ Z(3)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.28663161818796734) q[0];
h q[1];
h q[2];
ry(-1.6210146603569464) q[2];
h q[3];
ry(-1.6210146603569464) q[3];
h q[4];
ry(-1.6210146603569464) q[4];
ry(-0.2510354001517809) q[5];
rz(-pi) q[5];
h q[6];
ry(0.6181421229289458) q[6];
cx q[1], q[6];
ry(-0.6... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIIIZ",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIIZZII",
"ZIIIZIII",
"IZIIIIZI",
"ZZIIIIII",
"IIZIIZII",
"IIZZIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII"
] | [
-0.75,
-1.5,
-0.75,
3.25,
-0.25,
-0.5,
-0.25,
-1,
-0.5,
-0.75,
-1.5,
-1.75,
0.5,
-0.25,
-0.25,
0.75,
2.5,
-2.25,
-0.5,
-0.5
] | 0.974536 | [
1.6268721490235387,
-2.1726476528244962,
-1.6210146603569464,
-1.2411755802850961,
1.2362842458578915,
-1.0503144986838098,
-0.3427277786644807,
-0.7765492679923298,
-1.1729325369956523,
-1.0244981473774728,
0.6304394156832644,
-0.6913760511837018,
0.5549559263937737,
-0.15717069271603917
... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -16.25,
"target_ratio": 0.97,
"target_value": -15.7625
} | 15 |
8549796108995144008 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 6, 7, 8, 9], [10, 5], [1, 10], [8, 0, 3], [2, 5], [0, 4]]} | {"states": [1627, 1563], "expectation_value": -1.589241870387045, "params": [1.3015, 1.2986, 1.2905, 1.2917, 0.2482, 0.2508, 0.2898, 0.2531, 0.6636000000000001, 0.8644000000000001, 0.42060000000000003, 0.3095, 1.2848000000000002, 1.2833, 1.2866, 1.0405, 0.8246, 0.7568, 1.2941, 1.2917, 1.0797, 0.7477, 1.2832000000000001... | 0.05 * (Z(1) @ Z(7)) + 0.05 * (Z(8) @ Z(7)) + 0.05 * (Z(8) @ Z(1)) + 0.05 * (Z(9) @ Z(7)) + 0.05 * (Z(9) @ Z(1)) + 0.05 * (Z(9) @ Z(8)) + 0.05 * (Z(10) @ Z(7)) + 0.05 * (Z(10) @ Z(1)) + 0.05 * (Z(10) @ Z(8)) + 0.05 * (Z(10) @ Z(9)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(9)) + 0.16... | 14 | 11 | 1 | {"smallest_eigenvalues": [-2.533333333333333, -2.533333333333333, -2.533333333333333, -2.533333333333333, -2.533333333333333, -2.533333333333333, -2.533333333333333, -2.533333333333333, -2.533333333333333, -2.533333333333333, -2.533333333333333, -2.533333333333333, -2.533333333333333, -2.533333333333333, -2.53333333333... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.2569080805666766) q[0];
rz(pi/2) q[0];
ry(1.4945835718309517) q[1];
ry(-0.031222582909914025) q[2];
ry(-0.056752150257317696) q[3];
ry(-0.4346638941995824) q[4];
ry(-0.18015028805456268) q[5];
ry(1.592841367094683) q[6];
ry(1.6679513761779534) q[7];
ry(0.127319897... | 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": []} | [
"IIIZIIIIIZI",
"IIZZIIIIIII",
"IIZIIIIIIZI",
"IZIZIIIIIII",
"IZIIIIIIIZI",
"IZZIIIIIIII",
"ZIIZIIIIIII",
"ZIIIIIIIIZI",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZZI",
"IIIIZIIIZII",
"IZIIIIIIIIZ",
"IZIIIIZIIII",
"IIIIIIZIIIZ",
"IIIIZIIZIII",
"IIIIIZIIIIZ",
"IIIZIIIIIII",
"IIIIIIIII... | [
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.1,
0.09999999999999998,
0.1,
0.26666666666666666,
0.1,
0,
0,
0.16666666666666663,
0.16666666666666666,
0,
0
] | 0.976405 | [
1.2569080805666766,
1.4945835718309517,
-0.031222582909914025,
-0.056752150257317696,
-0.4346638941995824,
-0.18015028805456268,
1.592841367094683,
1.6679513761779534,
0.12731989716400538,
1.543369344738417,
-0.4663523130568703,
0.9440128658379592,
0.5364403026722109,
0.2838547931908838,
... | {
"n_parameters": 43,
"n_qubits": 11,
"optimal_eigenvalue": -2.533333333333333,
"target_ratio": 0.97,
"target_value": -2.457333333333333
} | 50 |
bdf4ac9aea3c01fe4a0763ed16a2cb41 | 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": 19, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 12, "source": 1, "target": 5}, {... | {"states": [179, 121], "expectation_value": -23.337796940052314, "params": [[-0.0391, -0.0106, -0.0114, -0.0134], [0.07440000000000001, 0.0497, 0.0449, 0.0451]], "bitstrings": ["01001100", "10000110"], "total_optimization_steps": 10, "probabilities": [0.018547317063883243, 0.02384412038433669], "optimization_time": 10.... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 10.5 * Z(0) + 13.5 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.5, "smallest_bitstrings": ["10000110"], "largest_eigenvalue": 147.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.005067002524934633) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.005067002524934633) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.005067002524934633) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.005067002524934633) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII",
"IIZIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
10.5,
13.5,
16,
14,
10.5,
12.5,
-5
] | 0.970251 | [
-0.005067002524934633,
-1.6850127511143769,
1.496672048440283,
-1.2063358954308774,
-1.6956027444208053,
-1.8100060217454483,
1.8395040859899134,
1.5618704167181376,
-0.3067283596242682,
0.39700273227905436,
-0.08214440551161827,
-0.6163421203175338,
-0.8315577773199614,
-1.301594664564469... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -65.5,
"target_ratio": 0.97,
"target_value": -63.535
} | 32 |
5a8eac0760a558d4174437be478ec0aa | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [5, 21], "expectation_value": -2.0719430976342794, "params": null, "bitstrings": ["11010", "01010"], "total_optimization_steps": 28, "probabilities": [0.13262953595047108, 0.6775037254469125], "optimization_time": 22.518687963485718} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + 0.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["01010"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.82536574049687) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.24273634073259914) q[1];
h q[2];
h q[3];
ry(-0.24273634073259914) q[3];
cx q[2], q[3];
ry(0.24273634073259914) q[3];
cx q[2], q[3];
ry(1.300380278656536) q[2];
ry(-0.845563361950822) q[3];
h q[4];
cx q[4], q[1];
ry... | 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(-1.4449) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IZIIZ",
"ZIIZI",
"IZZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
0,
0
] | 0.972605 | [
-1.0824548785035621,
-0.4854726814651983,
1.0253922282774464,
-0.6950111735231073,
0.549976100758179,
0.49856702161642463,
-0.5677464941140427,
-0.3011043768554298,
0.6740485844110712,
1.8584456786071313,
-0.3550392547384828,
-0.049666130392177224,
0.1283809090165161,
0.14940958954842865,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
15323fff8a86688a67a3412302b595a8 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [7264, 7392], "expectation_value": -7.498126083171869, "params": [0.0032, 0.0013000000000000002, 0.0057, 0.0007, 0.2028, 0.2043, 0.2, 0.1976, 0.2051, 0.1988, -0.0044, -0.007500000000000001, 0.1879, 0.1956, 0.20750000000000002, 0.2074, 0.20620000000000002, 0.2049, 0.1998, 0.19720000000000001, 0.0011, -0.0007,... | -0.5 * (Z(10) @ Z(4)) + -0.5 * (Z(11) @ Z(4)) + 1.0 * (Z(11) @ Z(10)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(10)) + -0.5 * (Z(5) @ Z(11)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(10)) + -0.5 * (Z(6) @ Z(11)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(7) @ Z(8)) + 2.0 * (Z(9) @ Z(8)) + 1.0 * (Z(9) @ Z(7)) + -0.5 * (Z(0) @ Z(10)... | 14 | 15 | 4 | {"smallest_eigenvalues": [-17.799999999999823], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.999999999999844, "smallest_bitstrings": ["110001100011111"], "largest_eigenvalue": 37.40000000000015} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(-0.018028883949639758) q[0];
rz(0.9021455909522267) q[0];
rx(-0.010461068957280077) q[1];
rz(-0.6251513123138588) q[1];
rx(1.2410705536056943) q[2];
rz(0.24837249735736772) q[2];
rx(1.482653069731669) q[3];
rz(0.15733957473157698) q[3];
rx(1.3550375103965857) 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... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZIIII",
"IIIZIIIIIIZIIII",
"IIIZZIIIIIIIIII",
"IIIIIIIIIZZIIII",
"IIIIZIIIIZIIIII",
"IIIZIIIIIZIIIII",
"IIIIIIIIZIZIIII",
"IIIIZIIIZIIIIII",
"IIIZIIIIZIIIIII",
"IIIIIIIIZZIIIII",
"IIIIIIZZIIIIIII",
"IIIIIZZIIIIIIII",
"IIIIIZIZIIIIIII",
"IIIIZIIIIIIIIIZ",
"IIIZIIIIIIIIIIZ",
"... | [
-0.5,
-0.5,
1,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
1,
1,
2,
1,
-0.5,
-0.5,
-1,
-1,
0.8,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
0.5,
0.5,
0.4,
-0.5,
-0.5,
-0.5,
-1,
-1,
-1,
1,
2,
-0.5,
-0.5,
0.5,
0.5,
5,
2.5,
5,
-0.29999999999999993,
-0.60000... | 0.972144 | [
-0.018028883949639758,
0.8606293015385114,
-0.010461068957280077,
-0.6251513123138588,
1.2410705536056943,
0.24837249735736772,
1.482653069731669,
0.15733957473157698,
1.3550375103965857,
0.08163044844034495,
-0.032341474889986954,
0.4495258465063271,
0.12331348944211716,
0.257408835838154... | {
"n_parameters": 75,
"n_qubits": 15,
"optimal_eigenvalue": -17.799999999999823,
"target_ratio": 0.97,
"target_value": -17.265999999999828
} | 19 |
dab40a2f654e93a72357d226e03c7017 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [17, 48], "expectation_value": -3.9741052551015095, "params": null, "bitstrings": ["101110", "001111"], "total_optimization_steps": 15, "probabilities": [0.07397911536985187, 0.9005728489954137], "optimization_time": 9.133339166641235} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -1.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["001111", "101110", "101101", "011011", "110110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-9.732836771679241e-09) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-9.732836771679241e-09) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-9.732836771679241e-09) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-9.73283... | 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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"ZIIIIZ",
"ZZIIII",
"IIIZZI",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIZIZI",
"IIIZII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1,
-0.5,
-1.5
] | 0.875 | [
-9.732836771679241e-9,
1.5707963924426682,
-8.266767826270459e-8,
-1.570796288084588,
1.570796283532113
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 154 |
6ddf684edf2e62eb9b719095ef1378fa | connected_components | 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": 1, "target": 3}, {"source": 4, "target": 5}, {"source": 5, "target": 6}]} | {"states": [60, 63], "expectation_value": -6.4824750578273465, "params": null, "bitstrings": ["000011", "000000"], "total_optimization_steps": 62, "probabilities": [0.16263196856582385, 0.6228786921673074], "optimization_time": 41.57820749282837} | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(1) + -1.0 * Z(5) + 1.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["000011", "000000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(2.5125262706056377) q[0];
rz(pi/2) q[0];
ry(-0.0684384930951604) q[1];
ry(-0.6242145855847325) q[2];
ry(0.023386560122141898) q[3];
ry(-0.10544545841139641) q[4];
ry(-0.020724178357861903) q[5];
cx q[5], q[0];
ry(1.5844581120785501) q[0];
cx q[5], q[0];
ry(-1.5844581... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5706) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IIIIZZ",
"IIZIZI",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"ZIIIII",
"IZIIII"
] | [
-1.5,
0.5,
-2,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
-1,
1
] | 0.981413 | [
2.5125262706056377,
-0.0684384930951604,
-0.6242145855847325,
0.023386560122141898,
-0.10544545841139641,
-0.020724178357861903,
-3.1689162241571003,
-3.498896468259441,
-2.2214113599118592,
0.2040630435724707,
1.6514361455783408,
-1.0547043507067209,
0.4456416672039778,
0.0976392604007565... | {
"n_parameters": 23,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 44 |
4d1240ef072f6b149c3e83e07e8a9609 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 5, "source": 0, ... | {"states": [33, 1], "expectation_value": -1.497330348739788, "params": [[-0.0671], [0.065]], "bitstrings": ["11011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.006161238188565794, 0.006291692520676459], "optimization_time": 2.3069803714752197} | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + -1.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + 4.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(3)) + -1.75 * (Z(4) @ Z(5)) + -1.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(5)) + -2.25 * (Z(6)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.03094265542534383) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.018570212303029236) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.3662410886362089) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.292339872234475) q[3];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IIIZIIII",
"IZIIIIII"
] | [
-1,
-1.25,
-0.25,
-0.75,
-1.25,
-0.25,
4.5,
-1,
-0.75,
-1.75,
-1.25,
-1,
-0.25,
-2.25,
-2.5,
-0.25,
0,
-0.75,
-2,
2.75,
1.5,
1.25
] | 0.972478 | [
-0.03094265542534383,
-0.018570212303029236,
-0.3662410886362089,
-0.292339872234475,
0.18643239165999725,
-0.042105846680713904,
-0.35492225998324284,
-0.9176911559791833,
-0.6585345465350182,
-0.8674445659285661,
0.32348541433135186,
-0.7491769655864439,
-0.8054647241796289,
-1.558448271... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 172 |
-7364927243013511270 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 5, 6], [1, 2, 3, 7, 9], [3, 6], [0, 9, 2, 5], [8, 0, 7], [8, 1, 4], [8, 9, 5], [9, 3, 5], [2, 5, 6, 7, 8], [0, 9, 8], [0, 1, 2, 7, 9], [8, 9, 1], [1, 4, 7], [8, 9, 2, 4], [1, 5, 7], [1, 3, 5], [0, 1, 2, 5, 8], [2, 3, 5, 7]]} | {"states": [1015, 1010], "expectation_value": -1.9509589503162843, "params": [0.902, -0.0044, 0.8931, 0.0015, 0.9043, -0.0034000000000000002, 0.9033, 0.0014, 0.9043, -0.0055000000000000005, 0.895, 0.0002, 0.9047000000000001, -0.0031000000000000003, 0.902, 0.008, 0.8984000000000001, -0.0073, 0.8966000000000001, 0.006, 0... | 0.55 * (Z(1) @ Z(5)) + 0.21666666666666667 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.26666666666666666 * (Z(2) @ Z(5)) + 0.15000000000000002 * (Z(2) @ Z(1)) + 0.05 * (Z(2) @ Z(6)) + 0.41666666666666663 * (Z(3) @ Z(5)) + 0.21666666666666667 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.13333333333333333 * (Z... | 6 | 10 | 1 | {"smallest_eigenvalues": [-4.516666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.4333333333333345, "smallest_bitstrings": ["0000001101"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(2.2618332068977844) q[0];
rz(1.5871972059669126) q[0];
rx(2.9154050192488277) q[1];
rz(2.007778049633937) q[1];
rx(2.9154050192488277) q[2];
rz(1.706659341582295) q[2];
rx(1.6032851763642544) q[3];
rz(1.5731992435764397) q[3];
rx(0.8482159938108759) q[4];
rz(1.22077... | 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": []} | [
"IIIIZIIIZI",
"IIIZZIIIII",
"IIIZIIIIZI",
"IIIIZIIZII",
"IIIIIIIZZI",
"IIIZIIIZII",
"IIIIZIZIII",
"IIIIIIZIZI",
"IIIZIIZIII",
"IIIIIIZZII",
"IIZIZIIIII",
"IIZIIIIIZI",
"IIZZIIIIII",
"IIZIIIIZII",
"IIZIIIZIII",
"ZIIIZIIIII",
"ZIIIIIIIZI",
"ZIIIIIIZII",
"ZIIIIIZIII",
"ZIZIIIIIII"... | [
0.55,
0.21666666666666667,
0.16666666666666666,
0.26666666666666666,
0.15000000000000002,
0.05,
0.41666666666666663,
0.21666666666666667,
0.5,
0.13333333333333333,
0.3,
0.43333333333333335,
0.05,
0.23333333333333334,
0.13333333333333333,
0.41666666666666663,
0.26666666666666666,
0.... | 0.972102 | [
2.2618332068977844,
0.01640087917201575,
2.9154050192488277,
0.4369817228390406,
0.13586301478739907,
1.6032851763642542,
0.0024029167815428024,
0.8482159938108759,
-0.3500202330122508,
1.5435085715994008,
-0.07009940584544061,
0.8336771389213357,
-0.04097841933677038,
2.7098100266442398,
... | {
"n_parameters": 45,
"n_qubits": 10,
"optimal_eigenvalue": -4.516666666666667,
"target_ratio": 0.97,
"target_value": -4.381166666666666
} | 262 |
c5d2a0621e9dcecb65eadc5509d4551e | max_flow | 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": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 6... | {"states": [1916, 4092], "expectation_value": -13.922071831424045, "params": null, "bitstrings": ["1100010000011", "1000000000011"], "total_optimization_steps": 100, "probabilities": [0.1789092677225211, 0.6993291558722774], "optimization_time": 392.04474568367004} | -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + 1.0 * (Z(3) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(7)) + -0.5... | 1 | 13 | 3 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -13.0, "smallest_bitstrings": ["1100001000101", "1000100100001", "1100101010001", "1100101100001", "1000000000101", "1100010000101", "1000000000011... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(-0.08743649769424137) q[0];
rz(-1.4403708797533135) q[0];
rx(0.09393894887712548) q[1];
rz(0.5913182157078832) q[1];
rx(1.4078405758086183) q[2];
rz(0.1407318460299953) q[2];
rx(1.590037714848199) q[3];
rz(0.10840208344072243) q[3];
rx(0.18964145807910252) q[4];
rz(... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nry(-1.5577) q[12];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = me... | [
"IIIIIIIZIIIZI",
"IIIIIIZIIIIZI",
"IIIIIIZZIIIII",
"IIIIIIIIIIZZI",
"IIIIIIIZIIZII",
"IIIIIIZIIIZII",
"IIIIIIIIIZIZI",
"IIIIIIIZIZIII",
"IIIIIIZIIZIII",
"IIIIIIIIIZZII",
"IIIIIZIIIIIZI",
"IIIIIZIZIIIII",
"IIIIIZZIIIIII",
"IIIIIZIIZIIII",
"IIIIZIIIIIIZI",
"IIIIZIIZIIIII",
"IIIIZIZIIII... | [
-1,
-1,
1,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
1,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
1,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,... | 0.97291 | [
-0.0874364976942414,
-0.7782836179307168,
0.09393894887712548,
0.5913182157078832,
1.4078405758086183,
0.1407318460299953,
1.590037714848199,
0.10840208344072243,
0.18964145807910252,
0.07730924175294455,
-0.0250481159919958,
0.7670952990780986,
1.5475571454171502,
0.28663197303578225,
0... | {
"n_parameters": 70,
"n_qubits": 13,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 10 |
297160321633240663 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[9, 1], [0, 4, 5, 8, 9, 10], [3, 7], [1, 10, 5], [0, 2, 4], [9, 2, 10, 5], [2, 3, 6, 8, 9, 10], [9, 5, 6], [0, 6, 7, 9, 10]]} | {"states": [1267, 1251], "expectation_value": -2.307009498020881, "params": [1.3921000000000001, 0.30960000000000004, 1.3989, 0.0047, 0.18660000000000002, -0.6272, 0.1587, -0.6025, 0.5061, -0.4893, 0.5107, 0.0083, 1.0133, -0.041, 1.0927, 0.008700000000000001, 1.3966, -0.0079, 1.3895, 0.008, 1.3940000000000001, -0.01380... | 0.5 * (Z(9) @ Z(1)) + 0.08333333333333334 * (Z(0) @ Z(9)) + 0.03333333333333333 * (Z(4) @ Z(9)) + 0.19999999999999998 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.2833333333333333 * (Z(5) @ Z(9)) + 0.03333333333333333 * (Z(5) @ Z(0)) + 0.03333333333333333 * (Z(5) @ Z(4)) + 0.06666666666666667 * (Z(8) @ Z(9... | 8 | 11 | 1 | {"smallest_eigenvalues": [-2.716666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.6499999999999995, "smallest_bitstrings": ["01100011100"], "largest_eigenvalue": 7.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.552050935185028) q[0];
rz(1.4319001671185996) q[0];
rx(-0.11181689359814348) q[1];
rz(-0.8960225854998345) q[1];
cx q[1], q[0];
ry(-0.5501084284324771) q[0];
cx q[1], q[0];
ry(2.0592836296619565) q[0];
rz(-1.7384314494679871) q[0];
rx(0.12155030363884464) q[1];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIIIZI",
"IZIIIIIIIIZ",
"IZIIIIZIIII",
"IIIIIIZIIIZ",
"IIIIIZIIIZI",
"IZIIIZIIIII",
"IIIIIZIIIIZ",
"IIIIIZZIIII",
"IZZIIIIIIII",
"IIZIIIIIIIZ",
"IIZIIIZIIII",
"IIZIIZIIIII",
"ZIIIIIIIIZI",
"ZZIIIIIIIII",
"ZIIIIIIIIIZ",
"ZIIIIIZIIII",
"ZIIIIZIIIII",
"ZIZIIIIIIII",
"IZIIIIIZI... | [
0.5,
0.08333333333333334,
0.03333333333333333,
0.19999999999999998,
0.16666666666666666,
0.2833333333333333,
0.03333333333333333,
0.03333333333333333,
0.06666666666666667,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.16666666666666666,
0.2,
0.08333333333333334,
0.03... | 0.971837 | [
1.5520509351850276,
-0.13889615967629687,
-0.11181689359814348,
-0.8960225854998345,
0.224305869646738,
-0.5611909479251027,
1.0663461960966363,
-0.07589284983656935,
1.3568740016043361,
0.15128638308526557,
1.548825027120974,
0.017668699297721094,
0.11859720937845317,
-0.7563246502498984,... | {
"n_parameters": 54,
"n_qubits": 11,
"optimal_eigenvalue": -2.716666666666667,
"target_ratio": 0.97,
"target_value": -2.6351666666666667
} | 13 |
-6508177323496590703 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 7], [3, 6], [0, 3], [0, 4], [1, 4], [0, 7], [1, 5], [5, 6], [5, 7], [0, 2], [3, 4], [2, 4], [1, 3], [6, 7]]} | {"states": [0, 29], "expectation_value": 0.7135977371578408, "params": [0.6073000000000001, -0.0016, 0.6037, 0.0051, 0.5989, -0.0012000000000000001, 0.5939, 0.0011, 0.5967, -0.0031000000000000003, 0.5981000000000001, 0.0064, 0.6055, 0.003, 0.6038, 0.006500000000000001, 0.6096, -0.0034000000000000002, 0.6052000000000001... | 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.0 * Z(7) +... | 6 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["00011101", "11100010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
ry(1.959840688157365) q[2];
h q[3];
h q[4];
ry(-0.06384407754468036) q[4];
cx q[3], q[4];
ry(0.06384407754468036) q[4];
cx q[3], q[4];
ry(-0.06550887431299297) q[3];
cx q[0], q[3];
ry(0.06550887431299297) q[3];
cx q[0], q[3];
ry(-0.06598002852447... | 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": []} | [
"ZIIIIZII",
"ZZIIIIII",
"IZIIZIII",
"ZIIIIIIZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIZII",
"IIIZZIII",
"IIIZIIIZ",
"IIIIZIZI",
"IIIZIIZI",
"ZIZIIIII",
"IZZIIIII",
"IIZIIIZI",
"ZIIIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"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,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.976289 | [
-0.1276881550893607,
1.959840688157365,
-0.13196005704894775,
1.4947746740852992,
1.2942410579526034,
-0.9569597964230087,
-0.13101774862598595,
0.9719383591128312,
-0.8002266242375988,
-0.2830559865261668,
0.12941289701975242,
-0.7400061505773364,
0.4027917913037487,
0.10878470035948909,
... | {
"n_parameters": 52,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 41 |
4956b44a15796d9b5317bf40a3232de2 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target":... | {"states": [3, 63], "expectation_value": -18.438384411460568, "params": [-0.0026000000000000003, -0.0026000000000000003, -0.0027, -0.0026000000000000003, -0.0027, -0.0024000000000000002, 0.9440000000000001, 0.8292, -0.0021000000000000003, -0.0024000000000000002, -0.0037, 0.0022, -0.17470000000000002, 0.0256, 1.5302, -1... | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(5)) + -1.0 * (Z(7) @ Z(8)) + -1.5 * Z(2) + -1.5 * Z(0) + -1.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) ... | 14 | 9 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["111000000"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-1.5669893297986075) q[0];
h q[1];
ry(-1.5669893297986075) q[1];
rz(-pi) q[2];
ry(-0.00025845423458402075) q[2];
h q[3];
h q[4];
ry(0.6914289569720544) q[4];
cx q[3], q[4];
ry(-0.6914289569720544) q[4];
cx q[3], q[4];
ry(0.5552705824240733) q[3];
h q[5];
ry(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIZIIII",
"IIZIIZIII",
"IIZZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-2,
-2,
1,
-2,
-2,
-2,
-2,
-2,
1,
-1,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.929032 | [
-1.5669893297986075,
-1.5716366014994316,
1.3828579139441088,
2.1488115057857704,
1.1105411648481467,
-0.4657930945092297,
1.1297331087621536,
-0.32336585851108357,
0.00502546424383441,
0.002555572013626357,
1.580510118395439,
1.238658643614027,
-1.6951711346294682,
-1.1189914146858835,
... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 500 |
31bcee1b066a63f64c6901bb1e1b69cb | 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": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [21, 28], "expectation_value": -2.9963973272214712, "params": null, "bitstrings": ["101010", "100011"], "total_optimization_steps": 25, "probabilities": [0.06635225969610153, 0.9303258560517219], "optimization_time": 16.51389169692993} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(2) + 0.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["100011", "101010", "011100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.8134308690563022) q[0];
rz(-0.004340210929724364) q[0];
rx(-0.04386525431228497) q[1];
rz(1.1021752077143088) q[1];
rx(-0.013238833040450147) q[2];
rz(-1.192074686665066) q[2];
rx(1.521660208972273) q[3];
rz(-0.5183062345743958) q[3];
rx(-0.07804897496144539) q[4]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIIZ",
"IZIIZI",
"IZZIII",
"IZIZII",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
0
] | 0.981324 | [
-0.8134308690563021,
0.02233676954795123,
-0.04386525431228497,
0.6629278156883924,
-0.013238833040450145,
-0.8015821085417717,
1.521660208972273,
-0.03357304081524819,
-0.0780489749614454,
1.036539672959953,
1.1636048445698097,
0.011763346432697531,
0.06040645557731586,
-0.969466387518295... | {
"n_parameters": 47,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 6 |
eabc5a01649d5bc499596bd844e547e9 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "so... | {"states": [16516, 49284], "expectation_value": -18.94380369431837, "params": [[0.3723, 1.2864, 0.0023, 0.001, 0.0002, 0.0034000000000000002, 0.0015, -0.0286, 1.2704, -0.002, 0.0037, 0.0021000000000000003, 0.595, 1.0762, 0.6117, 0.0025], [-0.1448, 0.5755, 0.0021000000000000003, 0.0051, 0.0005, 0.0016, 0.0033, 0.1786, 1... | 0.5 * (Z(0) @ Z(7)) + 2.0 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(0)) + 1.0 * (Z(1) @ Z(7)) + 0.8888888888888888 * (Z(1) @ Z(0)) + 2.0 * (Z(1) @ Z(8)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(8)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -1.0 * (Z(2) @ Z(8)) + -0.5 * (Z(12) @ Z(7)) + -1.0 * (Z(1... | 10 | 16 | 2 | {"smallest_eigenvalues": [-19.33333333333302], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.333333333332853, "smallest_bitstrings": ["0011111101111011"], "largest_eigenvalue": 74.66666666666687} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(0.2664069181067321) q[0];
ry(0.8865655202288814) q[1];
ry(0.04041040581954977) q[2];
ry(-0.1463087441347665) q[3];
ry(-0.0017122900369444215) q[4];
ry(0.05053747684794381) q[5];
ry(0.01584114424576765) q[6];
ry(-0.16220839314721258) q[7];
ry(0.8341087173554764) 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": []} | [
"IIIIIIIIZIIIIIIZ",
"IIIIIIIZZIIIIIII",
"IIIIIIIZIIIIIIIZ",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIZIIIIIIZI",
"IIIIIIIIZZIIIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIZIZIIIIII",
"IIIIIIIIIZIIIIZI",
"IIIIIIIIZIIIIZII",
"IIIIIIIZIIIIIZII",
"IIIZIIIIZIIIIIII",
"IIIZIIIZIIIIIIII",
"IIIZIII... | [
0.5,
2,
1,
1,
0.8888888888888888,
2,
-0.5,
-0.5,
-1,
-1,
-0.5,
-1,
-0.5,
-1,
0.5,
-1,
-2,
1,
2,
-0.5,
-1,
0.5,
1,
2,
-1,
-2,
0.8888888888888888,
1,
2,
1,
0.5,
1,
-0.5,
-0.5,
-1,
-0.5,
-1,
1,
2,
-1,
-1,
-2,
-1,
-2,
1,
0.5,
1,... | 0.972601 | [
0.2664069181067321,
0.8865655202288814,
0.04041040581954977,
-0.1463087441347665,
-0.0017122900369444215,
0.05053747684794381,
0.01584114424576765,
-0.16220839314721258,
0.8341087173554764,
0.05283698138380155,
0.04289513560780135,
0.13517469731113882,
0.7706414786879242,
0.256894633527048... | {
"n_parameters": 57,
"n_qubits": 16,
"optimal_eigenvalue": -19.33333333333302,
"target_ratio": 0.97,
"target_value": -18.75333333333303
} | 4 |
b71e19e9218fad76a8b04d982d3356d2 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1295, 1291], "expectation_value": -95.82714322074973, "params": [2.6032, 0.0048000000000000004, 0.6245, 0.0055000000000000005, 2.6073, 0.0073, -0.020300000000000002, 0.0077, 0.864, 0.009000000000000001, 0.003, 0.0033, 0.0029000000000000002, 0.0048000000000000004, 2.6100000000000003, 0.003, 1.5422, 0.0033, 2... | 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(7)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(5) @ Z(10)) + 6.5 * (Z(8) @ Z(0)) + 6.5 * (Z(8) @ Z(10)) + 6.5 * (Z(9) @ Z(2)) + 6.5 * (Z(9) @ Z(4)) + 6.5 * (Z(9) @ Z(10)) + 6.5 * (Z(9) @ Z(8)) + 16.5 * Z(0) + 22.5 * Z(2) + 0.5... | 18 | 11 | 1 | {"smallest_eigenvalues": [-124.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -107.0, "smallest_bitstrings": ["01011110100"], "largest_eigenvalue": 168.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.7200597077369626) q[0];
rz(0.2348633709528971) q[0];
rx(0.08750262615735749) q[1];
rz(0.3639616448170593) q[1];
rx(1.5993795113072027) q[2];
rz(-0.2532519916950065) q[2];
rx(0.07239950499177139) q[3];
rz(-0.7122878323295406) q[3];
rx(-0.15796991202836536) 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": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIZIZII",
"IIIZIIIZIII",
"IIIZZIIIIII",
"ZIIIIZIIIII",
"IIZIIIIIIIZ",
"ZIZIIIIIIII",
"IZIIIIIIZII",
"IZIIIIZIIII",
"ZZIIIIIIIII",
"IZZIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIZIIII",
"IIIZIIIIIII",
"IIIIIIIZI... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
16.5,
22.5,
0.5,
2,
8.5,
-2,
-2.5,
13,
-4.5,
9,
20.5
] | 0.97661 | [
1.7200597077369628,
0.20329892979082506,
0.08750262615735749,
0.3639616448170593,
1.5993795113072027,
-0.2532519916950065,
0.07239950499177139,
-0.7122878323295406,
-0.15796991202836536,
-0.8272405977426194,
-0.1200002332730068,
1.0830827140003483,
0.027245134845494415,
0.8659724869690185,... | {
"n_parameters": 61,
"n_qubits": 11,
"optimal_eigenvalue": -124,
"target_ratio": 0.97,
"target_value": -120.28
} | 18 |
9aa303e7d0a45a611af55345357cd7a0 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [246, 118], "expectation_value": -49.38616252039666, "params": [0.5632, 0.34890000000000004, 0.9819, 0.2731, 0.7955, 0.2255, 0.9984000000000001, -0.1477, 0.3577, -0.3699, 0.996, -0.002, 0.9988, 0.1942, 0.31570000000000004, 0.4043, 0.5608000000000001, 0.34190000000000004, 0.9749000000000001, 0.2928, 0.762, 0.... | 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(0)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 13.5 * Z(0) + 6.5 * Z(2) + 7.5 * Z(1) + 18.5 * Z(3) + 4.0 * Z(4) + 12.0 * Z(5)... | 18 | 8 | 3 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -56.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 139.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.14094137910969487) q[0];
rz(0.2537540342858402) q[0];
rx(0.9065762831798446) q[1];
rz(0.3933087830952962) q[1];
rx(1.060569702062803) q[2];
rz(-0.04231378386715482) q[2];
rx(1.1670901108683123) q[3];
rz(-0.26624990233736673) q[3];
rx(0.18575795537215847) q[4];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZIIZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIIZ",
"IZIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
13.5,
6.5,
7.5,
18.5,
4,
12,
13,
3.5
] | 0.970013 | [
0.14094137910969487,
0.444976290551696,
0.9065762831798446,
0.3933087830952962,
1.060569702062803,
-0.04231378386715482,
1.1670901108683123,
-0.26624990233736673,
0.18575795537215847,
-0.3631432317171305,
1.0011427662963628,
0.08473052663811462,
0.9821533960345171,
0.3057005891229172,
0.... | {
"n_parameters": 70,
"n_qubits": 8,
"optimal_eigenvalue": -64,
"target_ratio": 0.97,
"target_value": -62.08
} | 14 |
19a170966b6554e06b86de8b065b1bdc | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "... | {"states": [0, 4095], "expectation_value": -18.991028540406543, "params": [[[0.0006000000000000001, 1.6009], [0.002, 0.0034000000000000002], [0.0025, 0.0019], [0.0025, 0.0024000000000000002], [-0.0047, -0.0057], [0.0041, 0.5553], [0.0022, 0.0024000000000000002], [0.0017000000000000001, 0.0018000000000000002], [0.002400... | -2.5 * (Z(0) @ Z(2)) + -2.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + -2.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + -2.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -2.0... | 15 | 12 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["000000000000"], "largest_eigenvalue": 25.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(0.2822237412816046) q[0];
h q[1];
ry(-0.05765378459532568) q[1];
h q[2];
ry(0.33160381902501096) q[2];
h q[3];
ry(0.33160381902501096) q[3];
h q[4];
cx q[4], q[2];
ry(-0.33160381902501096) q[2];
cx q[4], q[2];
cx q[2], q[3];
ry(-0.33160381902501096) q[3];
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] x2;
input float[64] x3;
input float[6... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZ",
"IIIIIIIIZZII",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIIZZ",
"IIIIIIIIZIZI",
"IIIIIIIZIZII",
"IIIIIIIZIIIZ",
"IIIIIIIZZIII",
"IIIIIIIZIIZI",
"IIIIIZZIIIII",
"IIIZIZIIIIII",
"IIIZIIZIIIII",
"IIIIZZIIIIII",
"IIIZZIIIIIII",
"IZZIIIIIIIII",
"ZZIIIIIIIIII",
"ZIZIIIIII... | [
-2.5,
-2.5,
-2,
-2.5,
1,
-2,
-2.5,
0.5,
0.5,
0.5,
-1.5,
-2.5,
0.5,
0.5,
-2,
-1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
0.5,
-1.5,
1,
0.5,
0.5,
0.5
] | 0.948423 | [
0.6632076380500219,
0.5644474825632092,
-0.11530756919065135,
0.1011643325325824,
1.6755156789999361,
0.08702567778123989,
-0.7889109843636426,
0.026585925656095806,
-0.0018136223524275212,
0.17926022580993517,
0.03318180560240856,
0.8680069718038783,
-1.0288559738663745,
0.007590820393820... | {
"n_parameters": 72,
"n_qubits": 12,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 500 |
e58428a6900eb2eef0cb4731fd8b4a99 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6... | {"states": [33, 45], "expectation_value": -11.493643507879883, "params": null, "bitstrings": ["1011110", "1010010"], "total_optimization_steps": 48, "probabilities": [0.21071138695011513, 0.7829323989572221], "optimization_time": 46.96062135696411} | -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 | 4 | {"smallest_eigenvalues": [-11.5, -11.5, -11.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.5, "smallest_bitstrings": ["1111110", "1011110", "1010010"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(1.690944416721413) q[0];
ry(0.054699542645833876) q[0];
rz(-1.1769404323163797) q[0];
rz(-2.3881872169052443) q[1];
ry(0.20723270974804353) q[1];
rz(-2.857031240934929) q[1];
rz(-2.4596888100774237) q[2];
ry(0.14080968323527931) q[2];
rz(-2.993631691840007) q[2];
rz(... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"ZIIIIZI",
"ZIIIIIZ",
"IIIZIZI",
"IIIZZII",
"IZIZIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
-0.5,
-1.25,
-1,
-0.5,
-0.75,
-0.75,
2.5,
-0.75,
-0.75,
-0.25,
-0.5,
1.5,
-0.25,
-0.75,
-2.5,
1.75,
0.25,
0
] | 0.989705 | [
-0.022892677441185116,
0.2110669709326137,
-0.27094094257024,
0.6131998797071878,
-0.20111098885694167,
0.503350945250638,
0.020546732618873385,
0.3028834781091834,
0.2617247912178288,
0.41607371001171256,
-0.16363397257810378,
0.563891452430853,
0.8878830733377374,
-0.0634222979567583,
... | {
"n_parameters": 35,
"n_qubits": 7,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 9 |
9aafe0580999b1b0b4b8e8eda0d2bc18 | 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": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": ... | {"states": [12, 40], "expectation_value": -0.33595150977323474, "params": [[-0.051800000000000006, -0.046900000000000004], [0.0648, 0.0618]], "bitstrings": ["110011", "010111"], "total_optimization_steps": 10, "probabilities": [0.018080194902601526, 0.018080194902601536], "optimization_time": 2.422168254852295} | 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(5) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(2) + 0.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.0, "smallest_bitstrings": ["011110", "111100", "111010", "010111", "110101", "101110", "110011"], "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(-0.008488357935385014) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.008488357935385014) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.008488357935385014) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.008488357935385014) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"IZZIII",
"IIIZZI",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1,
-0.5,
0
] | 0.975971 | [
-0.008488357935385014,
1.2282148178064172,
-0.8433163024275433,
1.9725853102242956,
0.7728853189660121,
1.8680963585552939,
1.0323223109501083,
-1.0872816684056126,
-1.4919523916296222,
-1.1032332760214447,
0.051606515557825625,
0.9174931232599342,
-0.7487650083959976,
-0.9471809696574603,... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -69.5,
"target_ratio": 0.97,
"target_value": -67.41499999999999
} | 87 |
5011041588241054098 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4, 5], [0, 3, 5, 6], [2, 3, 6, 7], [0, 2, 5, 7], [1, 3, 7], [1, 3, 5]]} | {"states": [189, 157], "expectation_value": -1.070421517229242, "params": [1.1024, -0.12610000000000002, 1.0225, 0.0061, 0.8103, -0.1988, 0.6795, 0.0082, 1.0963, 0.021400000000000002, 1.05, 0.0004, 1.1041, 0.10110000000000001, 1.0996000000000001, 0.0098, 1.0952, -0.10840000000000001, 1.0619, 0.0077, 1.0971, 0.11, 1.092... | 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.083333... | 6 | 8 | 1 | {"smallest_eigenvalues": [-1.6666666666666667, -1.6666666666666667, -1.6666666666666667, -1.6666666666666667, -1.6666666666666667], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.6666666666666663, "smallest_bitstrings": ["11100000", "01100010", "00110000", "10011000", "11001010"], "largest_eigenvalue":... | 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[2];
rz(0.26497385847801025) q[2];
cx q[4], q[2];
h q[5];
cx q[4], q[5];
rz(0.26497385847801025) q[5];
cx q[4], q[5];
cx q[2], q[5];
rz(0.26497385847801036) q[4];
rx(-0.8354724311646876) q[4];
rz(0.4325256308421527) q[5]... | 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": []} | [
"IIIZIZII",
"IIZZIIII",
"IIZIIZII",
"IIIIIZIZ",
"IIZIIIIZ",
"IIIIZZII",
"IIZIZIII",
"IIIIZIIZ",
"IZIIIZII",
"IZZIIIII",
"IZIIIIIZ",
"IZIIZIII",
"ZIIIIZII",
"ZIZIIIII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZZIIIIII",
"IIZIIIZI",
"IIIIZIZI",
"ZIIIIIZI",
"IIIZIIII",
"IIIIIZII",
"IIZIIII... | [
0.16666666666666666,
0.16666666666666666,
0.25,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0... | 0.667565 | [
0.26497385847801025,
0.4325256308421527,
-0.005211413820932411,
0.7012835360445185,
1.0283697760409036,
0.15045806374648707,
1.3183827229303289,
-0.8354724311646876
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -1.6666666666666667,
"target_ratio": 0.97,
"target_value": -1.6166666666666667
} | 196 |
a1c773c0b570f64d3c3d3a505084c546 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 3... | {"states": [63, 33], "expectation_value": -0.5223173661745399, "params": [[0.0616], [-0.0629]], "bitstrings": ["1000000", "1011110"], "total_optimization_steps": 10, "probabilities": [0.009718952830050472, 0.010253020749831893], "optimization_time": 1.6781988143920898} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(1) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(5) @ Z(3)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(6) + 2.5 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1011110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5874017135860925) q[0];
h q[1];
ry(1.608914631976602) q[1];
h q[2];
ry(-1.5874017135860925) q[2];
h q[3];
ry(-1.5874017135860925) q[3];
h q[4];
ry(-1.5874017135860925) q[4];
ry(-0.05125907922144988) q[5];
rz(-pi) q[5];
h q[6];
ry(0.7820613171932738) q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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": []} | [
"IIIIZIZ",
"IIZIZII",
"IIZIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"IIZIIZI",
"ZIIIIZI",
"IIIZZII",
"IIZZIII",
"IIIZIZI",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IZIIIII"
] | [
-0.75,
-0.25,
-0.5,
-0.25,
1.5,
-0.25,
-1.25,
-1.5,
-1.75,
-1,
-1,
0.75,
-0.25,
-0.25,
0,
2.5,
-1.75,
-1
] | 0.99923 | [
1.608914631976602,
1.5641226343865475,
-1.5874017135860925,
-1.5438637253244718,
0.04865295550204985
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 1 |
3fb3735639c46bff7d77a855f00e5a0c | 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": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 1... | {"states": [1, 5], "expectation_value": -1.2357748416664742, "params": [[0.0337, 0.0614, 0.0753, 0.0579], [0.015000000000000001, -0.030600000000000002, -0.06330000000000001, -0.0511]], "bitstrings": ["1111110", "1111010"], "total_optimization_steps": 10, "probabilities": [0.018757214109429064, 0.01968966637430762], "op... | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(6) @ Z(2)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.15656815186826128) q[0];
rz(0.15627741730544642) q[0];
rx(0.07155707979271855) q[1];
rz(0.41889354116436905) q[1];
rx(-0.036854522120223276) q[2];
rz(0.3006228164158884) q[2];
rx(-0.08168454662241761) q[3];
rz(1.026473851281004) q[3];
rx(0.8163706473005876) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IZIIZII",
"IZIIIIZ",
"IIIIZZI",
"IZIIIZI",
"IIIZZII",
"IZIZIII",
"IIIZIZI",
"IIZIZII",
"IIZZIII",
"ZIIIZII",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"ZIIIIII"
] | [
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.25,
1.25,
-0.5,
0.5,
-0.25,
-1.25,
-0.5,
0,
1,
0.5
] | 0.973909 | [
0.15656815186826128,
0.5442420018401137,
0.07155707979271855,
0.902550613450768,
-0.036854522120223276,
0.7986190445176811,
-0.08168454662241761,
0.9231305560999041,
0.8163706473005876,
0.16616318461372137,
0.13465721119367224,
0.8447385901987526,
1.1276480729653369,
-0.17486223285907548,
... | {
"n_parameters": 56,
"n_qubits": 7,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 4 |
52d445418826abb1edfe2507a27ebafb | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 20, "source": 1, "target": 5}, {"weight": 3, "source": 2, "target": 3}, {"... | {"states": [111, 110], "expectation_value": -50.90159320013493, "params": [0.187, 0.32780000000000004, 0.7891, -0.0129, 0.7954, 0.0548, 0.2596, 0.30760000000000004, 0.7913, -0.009000000000000001, 0.7927000000000001, 0.003, 0.7867000000000001, 0.031400000000000004, 0.36960000000000004, 0.22340000000000002, 0.1908, 0.325... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 8.5 * Z(1) + 3.0 * Z(0) + 14.0 * Z(2) + 9.5 * Z(4) + 5.5 * Z(3) + 11.0 * Z(5) ... | 18 | 8 | 4 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 114.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-1.6828308069606857) q[0];
rz(-pi) q[0];
ry(-1.031553795512743) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.47951232566871355) q[2];
h q[3];
ry(1.5494251047186622) q[3];
cx q[3], q[0];
ry(-0.13259672277912185) q[0];
cx q[3], q[0];
rz(-pi) q[4];
ry(-0.4898624661385249) q[... | 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\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
8.5,
3,
14,
9.5,
5.5,
11,
11.5,
7.5
] | 0.972207 | [
22.904847443811345,
-4.836510392042526,
-8.91936632246195,
18.086225405810733,
64.41757649799031,
-24.777570963831565,
-5.2393488668576165,
-11.415326169661288,
-0.5697063469010043,
-0.020562242613332754,
1.5494251047186622,
0.2651934455582437,
-0.44100939376492304,
0.0038150615698399892,
... | {
"n_parameters": 64,
"n_qubits": 8,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 58 |
0714803fc241e2360d666ed1e871e287 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": ... | {"states": [375, 383], "expectation_value": -11.265033930666313, "params": [0.0048000000000000004, 0.35810000000000003, -0.0021000000000000003, 0.2539, -0.3044, 0.3171, -0.9102, 1.7791000000000001, -0.0026000000000000003, 0.5659000000000001, 0.0034000000000000002, 0.6288, 1.3648, 0.8482000000000001, 1.2876, 0.2867, 1.4... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(1) + 0.5 * Z(9) | 6 | 10 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1010000000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.14846640452963045) q[0];
rz(3.0061029413784865) q[0];
rx(-0.5708411447250665) q[1];
rz(2.0579878056276186) q[1];
rx(-0.1919544438207895) q[2];
rz(3.0189865220847594) q[2];
rx(-0.6879021959892385) q[3];
rz(2.5669911309546283) q[3];
rx(-0.6795280981274134) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IZZIIIIIII",
"ZIIIIIIIZI",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"IIIIIIIIZI",
"ZIIIIIIIII"
] | [
-1.5,
-1.5,
0.5,
-2,
0.5,
-1.5,
-1,
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.956767 | [
0.14846640452963045,
1.4353066145835893,
-0.5708411447250665,
0.4871914788327228,
-0.19195444382078952,
1.4481901952898621,
-0.6879021959892386,
0.9961948041597318,
-0.6795280981274134,
1.0045006078794925,
-1.2197500639970589,
1.1562495736107823,
-1.1716393087263306,
1.0272924742532643,
... | {
"n_parameters": 148,
"n_qubits": 10,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 500 |
4163248846765553226 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 3, 5, 6, 9, 10, 11], [0, 1, 3, 5, 6, 8], [1, 2, 3], [0, 1, 3, 8, 11], [9, 3, 4], [1, 3, 7], [0, 9, 2, 5], [4, 7, 8, 10, 11], [0, 11, 5, 7], [0, 1, 3, 5, 9], [2, 3, 4, 5, 6, 7, 11], [1, 6, 8, 9, 10, 11], [1, 2, 4, 9, 10], [1, 2, 8, 9, 10, 11], [1, 4, 8... | {"states": [471, 983], "expectation_value": -5.394389754943528, "params": [0.19540000000000002, 0.1933, 0.2687, 0.28190000000000004, 0.8135, 0.7833, 1.5715000000000001, 1.5734000000000001, 1.5719, 1.5725, 1.5645, 1.5724, 0.1774, 0.1819, 1.5754000000000001, 1.5732000000000002, 0.1991, 0.20600000000000002, 1.564900000000... | 0.19047619047619047 * (Z(0) @ Z(5)) + 0.2642857142857143 * (Z(7) @ Z(5)) + 0.32380952380952377 * (Z(7) @ Z(0)) + 0.19761904761904758 * (Z(8) @ Z(5)) + 0.11428571428571427 * (Z(8) @ Z(0)) + 0.21428571428571425 * (Z(8) @ Z(7)) + 0.2738095238095238 * (Z(11) @ Z(5)) + 0.3809523809523809 * (Z(11) @ Z(0)) + 0.290476190476190... | 13 | 12 | 1 | {"smallest_eigenvalues": [-5.7142857142857135], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.307142857142856, "smallest_bitstrings": ["110000101000"], "largest_eigenvalue": 27.000000000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.2543123394881617) q[0];
rz(0.027699478358627114) q[0];
ry(0.00942861740449491) q[1];
ry(1.2905468526698718) q[2];
ry(1.4130357202500625) q[3];
ry(1.5952712203175963) q[4];
ry(1.6969327973165909) q[5];
ry(0.2169596535792842) q[6];
ry(1.6147821548894454) q[7];
ry(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIZ",
"IIIIZIZIIIII",
"IIIIZIIIIIIZ",
"IIIZIIZIIIII",
"IIIZIIIIIIIZ",
"IIIZZIIIIIII",
"ZIIIIIZIIIII",
"ZIIIIIIIIIIZ",
"ZIIIZIIIIIII",
"ZIIZIIIIIIII",
"IIIIIIZIIZII",
"IIIIIIIIIZIZ",
"IIIIZIIIIZII",
"IIIZIIIIIZII",
"ZIIIIIIIIZII",
"IIIIIIZIZIII",
"IIIIIIIIZIIZ",
"IIIIZIIIZ... | [
0.19047619047619047,
0.2642857142857143,
0.32380952380952377,
0.19761904761904758,
0.11428571428571427,
0.21428571428571425,
0.2738095238095238,
0.3809523809523809,
0.29047619047619044,
0.1976190476190476,
0.15714285714285714,
0.10714285714285714,
0.15714285714285714,
0.10714285714285715,
... | 0.975733 | [
0.2543123394881617,
0.00942861740449491,
1.2905468526698718,
1.4130357202500625,
1.5952712203175963,
1.6969327973165909,
0.2169596535792842,
1.6147821548894454,
0.0031417575652459145,
1.5726698618527886,
1.5221146036967061,
1.6199356271472145,
0.05539895671725423,
0.03129395805322899,
0.... | {
"n_parameters": 47,
"n_qubits": 12,
"optimal_eigenvalue": -5.7142857142857135,
"target_ratio": 0.97,
"target_value": -5.542857142857142
} | 9 |
238da0afcff22b3cc95b712a7ad70447 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [371, 237], "expectation_value": -0.0611200313142178, "params": [[0.011300000000000001, -0.021500000000000002, -0.0352, -0.036000000000000004], [-0.0392, -0.0054, 0.0327, 0.038900000000000004]], "bitstrings": ["010001100", "100010010"], "total_optimization_steps": 10, "probabilities": [0.002253186213211005, ... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4... | 1 | 9 | 4 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["100010010", "010001100"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.15400852379458427) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.15400852379458427) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.15400852379458427) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.15400852379458427) q[0];
cx q[3], q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIZZIIII",
"IIZIIIIIZ",
"IZIIIIIZI",
"IIIIZIZII",
"IIZIIIZII",
"ZIIIIIZII",
"IIZIZIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIZIZIZII",
"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.12... | 0.699923 | [
0.15400852379458427,
-0.16652351332765766,
0.9539397028763626,
1.06600767204121,
-0.6690269654905423,
0.34760366534217846,
-0.3361262054812998,
1.1832235155449329,
-0.26439160478237117,
-0.374497929541955
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 323 |
92c565ed8fed8ca60a141e6f389a7855 | 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": 5, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 6}, {"weight": 20, "source": 1, "target": 3}, {"weight": 10, "source": 2, "tar... | {"states": [250, 218], "expectation_value": -22.05303785137488, "params": [[-0.0349, -0.0143, -0.0034000000000000002, 0.0596], [0.0668, 0.052000000000000005, 0.0427, -0.0073]], "bitstrings": ["100000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.00804620693103389, 0.009951556301960091], "optimi... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 18.5 * Z(1) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 163.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.024724623627202902) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.024724623627202902) q[2];
cx q[0], q[2];
rz(2.126197205216754) q[0];
rx(1.105196404331105) q[0];
h q[3];
cx q[2], q[3];
rz(-0.024724623627202902) q[3];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IZIIIIIZI",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"... | [
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,
18.5,
2.5,
14.5,
9.5,
9.5,
20.5,
15,
-1,
11
] | 0.9195 | [
-0.024724623627202902,
-0.9213010578715495,
2.1261972052167537,
-0.9816480528719546,
-0.7269887864035431,
-1.0420248708289332,
-1.003832488574156,
1.0955085012024581,
1.484744269018895,
1.105196404331105,
0.27098302896974236,
-1.1647690331256695,
-1.0531885418454594,
-0.698873653246916,
... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -83,
"target_ratio": 0.97,
"target_value": -80.50999999999999
} | 500 |
6073454407729675819 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 6], [2, 3, 5], [0, 4, 6], [0, 1, 3, 4, 5], [0, 1, 5, 6], [2, 4, 5], [6, 7]]} | {"states": [249, 157], "expectation_value": -0.06502577034796864, "params": [[0.0747], [-0.0761]], "bitstrings": ["00000110", "01100010"], "total_optimization_steps": 10, "probabilities": [0.004260231143506458, 0.004260352361933881], "optimization_time": 2.5279390811920166} | 0.5 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(6)) + 0.21666666666666667 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.25 * (Z(0) @ Z(6)) + 0.05 * (Z(0) @ Z(3)) + 0.13333333333333333 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.05 * (Z(4) @ Z(3)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.3666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3666666666666663, "smallest_bitstrings": ["01100010"], "largest_eigenvalue": 6.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[3];
rz(-0.011910771492125879) q[3];
cx q[6], q[3];
cx q[3], q[2];
rz(0.03821127246109226) q[2];
cx q[3], q[2];
cx q[6], q[5];
rz(-0.01542844788626548) q[5];
cx q[6], q[5];
cx q[3], q[5];
rz(-0.0817560343... | 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": []} | [
"IZIIZIII",
"IIIIZZII",
"IZZIIIII",
"IIZIZIII",
"IIZIIZII",
"IZIIIIIZ",
"IIIIZIIZ",
"IIZIIIIZ",
"IZIZIIII",
"IIIZZIII",
"IIIZIZII",
"IIZZIIII",
"IIIZIIIZ",
"IZIIIIZI",
"IIIIZIZI",
"IIZIIIZI",
"IIIIIIZZ",
"IIIZIIZI",
"ZZIIIIII",
"IZIIIIII",
"IIIIZIII",
"IIIIIZII",
"IIZIIII... | [
0.5,
0.16666666666666666,
0.08333333333333333,
0.21666666666666667,
0.3333333333333333,
0.25,
0.05,
0.13333333333333333,
0.16666666666666666,
0.05,
0.16666666666666666,
0.21666666666666667,
0.21666666666666667,
0.08333333333333333,
0.05,
0.13333333333333333,
0.13333333333333333,
0.... | 0.970385 | [
-0.011910771492125879,
0.03821127246109226,
-0.01542844788626548,
-0.08175603430849512,
1.3751731217831318,
-0.04862243295065432,
-0.026750634619147916,
-0.009930605289884056,
-1.5803359040197644,
1.5898593927106577,
-1.6664927668191492,
1.5060552280123707,
1.5390995794543711,
1.7105958611... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -2.3666666666666667,
"target_ratio": 0.97,
"target_value": -2.2956666666666665
} | 134 |
6360877596394732254 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 4, 6], [3, 5, 6], [0, 6]]} | {"states": [110, 126], "expectation_value": -0.4283393995434418, "params": [[0.47800000000000004], [-0.4368]], "bitstrings": ["0010001", "0000001"], "total_optimization_steps": 50, "probabilities": [0.017433402494529467, 0.018066899658685576], "optimization_time": 1.4642276763916016} | 0.08333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.16666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.0833333333333333, -1.0833333333333333, -1.0833333333333333, -1.0833333333333333, -1.0833333333333333, -1.0833333333333333, -1.0833333333333333], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.0000000000000002, "smallest_bitstrings": ["1001100", "1010010", "1101000", "101100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.5954732512874771) q[0];
ry(-2.506442437438112) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
ry(-0.49735289838452923) q[3];
h q[4];
h q[5];
cx q[5], q[3];
ry(0.49735289838452923) q[3];
cx q[5], q[3];
ry(-0.3530001299360424) q[5];
cx q[3], q[5];
ry(0.3530001299360424... | 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[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(x0)... | null | {"circuits": [], "gradients": []} | [
"IIIIZZI",
"IIZIZII",
"IIZIIZI",
"ZIIIZII",
"ZIIIIZI",
"ZIZIIII",
"ZIIZIII",
"ZZIIIII",
"IZIZIII",
"ZIIIIIZ",
"IIIIZII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII",
"IIIIIIZ"
] | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.125,
0.125,
0.125,
0.29166666666666663,
0.16666666666666666,
0.16666666666666666,
0
] | 0.977368 | [
1.370552948425968,
-1.1909465025749542,
0.13194475574003078,
-0.9947057967690585,
-0.40272339730056617,
0.09476105504188653,
-0.7060002598720848,
0.9958742496751882,
0.0735051210415924,
0.7876544534774177,
0.29598331433159514,
-0.5170019633467584,
0.03336042075406776,
0.17214373270061614,
... | {
"n_parameters": 45,
"n_qubits": 7,
"optimal_eigenvalue": -1.0833333333333333,
"target_ratio": 0.97,
"target_value": -1.0508333333333333
} | 22 |
94ff5da1dd74a3a8caf90d8223c34f4b | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "targ... | {"states": [0, 16376], "expectation_value": -66.03000692929204, "params": [[[-0.0026000000000000003, 0.0022], [-0.0026000000000000003, 0.006900000000000001], [-0.0024000000000000002, 0.008400000000000001], [-0.0026000000000000003, 0.005], [-0.0024000000000000002, 0.0019], [-0.0024000000000000002, 0.0077], [-0.002600000... | -3.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -3.5 * (Z(4) @ Z(0)) + 1.0 * (Z(5) @ Z(2)) + -4.0 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(4)) + 1.0 * (Z(6) @ Z(2)) + -3.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(7) @ Z(2)) + -4.5 * (Z(7) @ Z(0)) + -3.5 * (Z(7) @ Z(4)) + -3.5 * (Z(7) @ Z(5)) + 1.0 *... | 2 | 14 | 1 | {"smallest_eigenvalues": [-70.4999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.49999999999959, "smallest_bitstrings": ["00000000000111"], "largest_eigenvalue": 48.499999999999964} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
rx(-0.00740960065811163) q[0];
rz(0.07411913444742788) q[0];
rx(-0.00740960065811163) q[1];
rz(0.232724074119743) q[1];
rx(-0.060527632210805135) q[2];
rz(-0.30517961354032763) q[2];
rx(-0.00740960065811163) q[3];
rz(-0.4095500218549933) q[3];
rx(-0.060527632210805135)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZIZ",
"IIIIIIIIIZIZII",
"IIIIIIIIIZIIIZ",
"IIIIIIIIZIIZII",
"IIIIIIIIZIIIIZ",
"IIIIIIIIZZIIII",
"IIIIIIIZIIIZII",
"IIIIIIIZIIIIIZ",
"IIIIIIIZIZIIII",
"IIIIIIIZZIIIII",
"IIIIIIZIIIIZII",
"IIIIIIZIIIIIIZ",
"IIIIIIZIIZIIII",
"IIIIIIZIZIIIII",
"IIIIIIZZIIIIII",
"IIIIIZIIIIIZII"... | [
-3.5,
0.5,
-3.5,
1,
-4,
1,
1,
-3.5,
0.5,
1,
1,
-4.5,
-3.5,
-3.5,
1,
-4,
-4.5,
1,
-4,
-4,
-4.5,
0.5,
1.5,
0.5,
-3,
0.5,
-3.5,
-4,
0.5,
1,
0.5,
1.5,
0.5,
-3.5,
-4,
-2.5,
-2.5,
-2,
-2.5,
0.5,
-3,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
... | 0.970254 | [
-0.00740960065811163,
0.07411913444742788,
0.232724074119743,
-0.060527632210805135,
-0.30517961354032763,
-0.4095500218549933,
0.09459695699529687,
-0.03010629174431989,
-0.577657016736796,
-0.4650111121242942,
0.48444568510172364,
0.4805350828130432,
2.48380859768372,
-0.2719037713591331... | {
"n_parameters": 20,
"n_qubits": 14,
"optimal_eigenvalue": -70.4999999999998,
"target_ratio": 0.97,
"target_value": -68.3849999999998
} | 25 |
47a87bdf07cc47063498596ffad620cd | 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": 5, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6... | {"states": [0, 1], "expectation_value": -10.505991423124302, "params": [0.0039000000000000003, 0.1627, 0.0057, 0.19340000000000002, 0.007, 0.2388, 0.0048000000000000004, 0.2842, 0.0049, 0.2528, -0.0002, 0.2947, 0.40180000000000005, 0.0082, -0.004, 0.27640000000000003, 0.0008, 0.2848, -0.0011, 0.2958, 0.0009000000000000... | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + 3.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(2)) + -1.25 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(3)) + -1.25 * Z(1) + -0.25 * Z(0) + -1.0 * Z(2) + 1.5 * Z(3) + 2.75 * Z(6) + -1.25 * Z(4) + -0.5 * Z(5) | 3 | 7 | 4 | {"smallest_eigenvalues": [-15.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.75, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 18.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(1.6439167456375596) q[0];
ry(0.02681113321067513) q[0];
rz(-0.8254950939251424) q[0];
rz(-1.6129589340366464) q[1];
ry(0.09679043368465019) q[1];
rz(1.7911833287797307) q[1];
rz(2.746656283512543) q[2];
ry(0.11739870027006258) q[2];
rz(-2.10418036695263) q[2];
rz(3.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIIZZII",
"ZIIIIIZ",
"ZIIIZII",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
-1.25,
-1.25,
-0.75,
-0.5,
3.5,
-0.75,
-1.25,
-2.5,
-1.25,
-0.25,
-1,
1.5,
2.75,
-1.25,
-0.5
] | 0.98969 | [
0.05613628652638576,
0.28671330987640287,
-0.09774063720559814,
-0.025903018917755954,
-0.021533019811019058,
0.29301895617195256,
0.3191194697274359,
0.19847189148966912,
0.37210421282661466,
-0.10822046162696106,
0.32501415811911316,
1.153468314716328,
-0.08450389839505314,
-0.0480774562... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -15.75,
"target_ratio": 0.97,
"target_value": -15.2775
} | 7 |
861da3d4aba3be7dfc9c975e27f8a25d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [500, 436], "expectation_value": -78.22812806183302, "params": [-0.003, 0.5331, 0.8976000000000001, -0.0079, 0.9012, 0.3174, 0.5581, 0.2878, 0.9013, -0.0054, 0.8966000000000001, 0.1948, 0.22820000000000001, 0.4116, 0.9011, 0.0061, -0.0021000000000000003, 0.5651, 0.4565, -0.1545, -0.0045000000000000005, 0.526... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(2) @ Z(4)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(7) @ Z(1)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(8) @ Z(4)) + 6.0 * (Z(9) @ Z(1)) + 6.0 * (Z(9) @ Z(7)) + -3.0 * Z(0) + 14.5 * Z(1) + 14.0 * Z(4) + 9.5 * Z(3) + 8... | 18 | 10 | 3 | {"smallest_eigenvalues": [-99.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -89.5, "smallest_bitstrings": ["1001001011"], "largest_eigenvalue": 148.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.024052391965868336) q[0];
rz(0.9331479998772139) q[0];
rx(1.0535328112200637) q[1];
rz(-0.11952991697258909) q[1];
rx(0.9087569177307997) q[2];
rz(0.2889043698434536) q[2];
rx(0.2860819814092741) q[3];
rz(0.3448604048931321) q[3];
rx(1.1649501432031313) q[4];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIIIIZZII",
"IIZIIIIIZI",
"IIIIZIZIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IIIZZIIIII",
"IZIIIZIIII",
"ZIIIIIIIZI",
"ZIZIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIIIIZII",
"IIZIIIIIII",
"IIIIZIIIII",
"IIIZIIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
-3,
14.5,
14,
9.5,
8.5,
18.5,
14.5,
0.5,
-5,
4.5
] | 0.970261 | [
0.024052391965868336,
0.6975915157253987,
1.0535328112200637,
-0.11952991697258909,
0.9087569177307997,
0.2889043698434536,
0.2860819814092741,
0.3448604048931321,
1.1649501432031313,
-0.032443256765909596,
1.1367033870815713,
0.21948256258270063,
0.2394684088684529,
0.7212435751980091,
... | {
"n_parameters": 86,
"n_qubits": 10,
"optimal_eigenvalue": -99.5,
"target_ratio": 0.97,
"target_value": -96.515
} | 10 |
8e4b273e62e3bdbcb042f56fe9c0bd31 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [44, 42], "expectation_value": -3.249898543594036, "params": null, "bitstrings": ["010011", "010101"], "total_optimization_steps": 27, "probabilities": [1.7118399797761745e-05, 0.9999492882952955], "optimization_time": 18.66448974609375} | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(5) @ Z(2)) + -0.25 * Z(0) + -0.25 * Z(2) + -0.75 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["010101"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.003570858544960076) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(0.003570858544960076) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz(0.003570858544960076) q[1];
cx q[1], q[0];
rz(-0.11726358043627519) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz... | 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(-1.5486) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIIIZZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZZIII",
"ZZIIII",
"ZIIZII",
"IIIIIZ",
"IIIZII",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.5,
-0.25,
-0.25,
-0.75,
-0.5,
-0.5,
-0.5
] | 0.762533 | [
0.003570858544960076,
-0.11726358043627519,
-0.6462594328548128,
1.611929135236777,
0.6371699566376291,
0.9513101502862553,
0.03572501092869963,
0.07116209703665359,
-1.4784117063539257,
-0.06107024763807288,
0.8005656144892781,
0.538238114406948
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 320 |
-8029992874249485146 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[4, 6], [8, 0], [5, 7], [2, 5], [2, 4], [3, 7], [9, 4], [0, 4], [0, 9], [1, 7], [4, 5], [8, 9], [8, 4], [0, 7], [2, 3], [8, 7], [9, 1], [8, 3], [4, 7], [2, 7], [0, 2], [8, 1], [9, 6], [1, 5], [1, 4], [0, 1], [8, 5], [6, 7], [8, 6]]} | {"states": [167, 135], "expectation_value": -0.027829017460668397, "params": [0.6997, 0.0032, 0.6951, 0.0067, 0.7030000000000001, 0.0028, 0.6990000000000001, 0.004, 0.7081000000000001, 0.0019, 0.7055, 0.0017000000000000001, 0.6916, 0.004200000000000001, 0.6218, 0.0011, 0.6987, 0.0027, 0.7029000000000001, 0.009300000000... | 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.5, "smallest_bitstrings": ["1101111000", "1101011000", "0010100111", "0110000111", "0010000111", "1001111000"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.6858747939631085) q[0];
rz(1.5257089857248847) q[0];
rx(1.1648112780426312) q[1];
rz(1.5891606548105282) q[1];
rx(1.1380537403199982) q[2];
rz(1.8050302864339427) q[2];
rx(-0.11678047160976864) q[3];
rz(1.2297482612430155) q[3];
rx(2.6495596155829473) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIZIZIIII",
"IZIZIIIIII",
"IZIIIZIIII",
"IIIIIZIIIZ",
"IZIIIIIIIZ",
"IIIIZZIIII",
"IZIIZIIIII",
"IIZZIIIIII",
"IIZIIZIIII",
"IZZIIIIIII",
"IIZIIIIIIZ",
"IIZIZIIIII",
"IIIIIZIZII",
"IIIIIIIZIZ",
"IIIIZIIZII",
"IIZIIIIZII",
"IZIIIIZIII",
"IIZIIIZIII",
"IIIIIIZZII",
"ZIIZIIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.970493 | [
-0.6858747939631085,
-0.04508734107001232,
1.1648112780426314,
0.01836432801563148,
1.1380537403199982,
0.23423395963904622,
-0.11678047160976864,
-0.3410480655518816,
2.6495596155829473,
-0.12929797723152212,
0.6735560457853744,
-0.028917218759310984,
0.12370814372005956,
2.74955236645185... | {
"n_parameters": 46,
"n_qubits": 10,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 165 |
45180654095446468 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 8], [1, 4, 7, 8, 9, 10], [1, 3, 4, 5, 8, 9, 10], [1, 2, 3, 5, 6, 7, 8, 9, 10], [0, 3, 4, 6, 9], [0, 3, 5, 6, 7], [2, 4, 5, 6, 8], [0, 1, 4, 5], [0, 1, 2, 5, 7, 9], [0, 2, 3, 4, 5, 9], [2, 3, 4, 6, 8], [1, 3, 4, 5, 7, 8, 10], [2, 3, 4, 8, 9, 10], [1, 2, 3,... | {"states": [254, 766], "expectation_value": -3.323832750682741, "params": [0.003, -0.7063, 1.6068, -0.9189, 0.0048000000000000004, 1.0575, 2.194, 0.0024000000000000002, 2.2561, -0.0025, 2.4067000000000003, 0.0025, 2.5961000000000003, -0.0025, 2.8400000000000003, 0.0022, 2.9358, -0.0037, 2.9929, 0.0011, -0.0026000000000... | 0.5 * (Z(0) @ Z(8)) + 0.09484126984126984 * (Z(1) @ Z(8)) + 0.15 * (Z(1) @ Z(0)) + 0.21428571428571427 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.1976190476190476 * (Z(4) @ Z(1)) + 0.07103174603174603 * (Z(7) @ Z(8)) + 0.08333333333333334 * (Z(7) @ Z(0)) + 0.10436507936507936 * (Z(7) @ Z(1)) + 0.05714285... | 4 | 11 | 1 | {"smallest_eigenvalues": [-3.3857142857142852], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.3666666666666654, "smallest_bitstrings": ["10100000001"], "largest_eigenvalue": 15.499999999999995} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.005975450747978268) q[0];
rz(1.034196326291827) q[0];
rx(1.8246597876833714) q[1];
rz(0.7148533524588481) q[1];
rx(-0.016889054044184126) q[2];
rz(2.7507445718083225) q[2];
rx(2.3013464113529314) q[3];
rz(1.618265613492115) q[3];
rx(2.3869624020126077) 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[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIZ",
"IIZIIIIIIZI",
"IIIIIIIIIZZ",
"IIZIIIZIIII",
"IIIIIIZIIIZ",
"IIIIIIZIIZI",
"IIZZIIIIIII",
"IIIZIIIIIIZ",
"IIIZIIIIIZI",
"IIIZIIZIIII",
"IZZIIIIIIII",
"IZIIIIIIIIZ",
"IZIIIIIIIZI",
"IZIIIIZIIII",
"IZIZIIIIIII",
"ZIZIIIIIIII",
"ZIIIIIIIIIZ",
"ZIIIIIIIIZI",
"ZIIIIIZII... | [
0.5,
0.09484126984126984,
0.15,
0.21428571428571427,
0.16666666666666666,
0.1976190476190476,
0.07103174603174603,
0.08333333333333334,
0.10436507936507936,
0.05714285714285714,
0.10436507936507936,
0.15,
0.13769841269841268,
0.1738095238095238,
0.08055555555555555,
0.12817460317460316... | 0.983858 | [
-0.005975450747978267,
-0.5366000005030707,
1.8246597876833714,
-0.8559429743360485,
-0.01688905404418413,
1.1799482450134255,
2.3013464113529314,
0.04746928669721869,
2.3869624020126077,
0.03990563935630139,
2.3164680173086354,
-0.02794033971521136,
2.625695748197462,
2.8477872870356378,
... | {
"n_parameters": 31,
"n_qubits": 11,
"optimal_eigenvalue": -3.3857142857142852,
"target_ratio": 0.97,
"target_value": -3.2841428571428564
} | 1 |
6186788885164124660 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 3, 7, 8, 9], [8, 3, 5], [1, 2, 3, 7, 8, 10], [8, 11, 2, 3], [0, 1, 2, 3, 6, 11], [0, 1, 10, 5], [0, 10, 4, 5], [1, 4, 7, 9, 11], [0, 1, 2, 3, 10], [0, 1, 2, 4, 9], [0, 10, 2, 5], [0, 2, 5, 8, 9, 11], [0, 11, 7], [10, 4, 6, 7], [0, 6, 7], [9, 3, 6],... | {"states": [3818, 3946], "expectation_value": -5.514142202992467, "params": [[[3.1382000000000003, 0.5359, 0.0004, 0.0049], [-0.002, 0.5364, 0.0017000000000000001, 0.0005], [1.5693000000000001, -0.0021000000000000003, 1.5690000000000002, 0.0044], [1.9224, -0.0018000000000000002, 1.2226000000000001, 0.0091], [2.3067, 0.... | 0.3833333333333333 * (Z(0) @ Z(1)) + 0.23333333333333334 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(0)) + 0.15 * (Z(9) @ Z(1)) + 0.36666666666666664 * (Z(9) @ Z(0)) + 0.06666666666666667 * (Z(9) @ Z(5)) + 0.11666666666666667 * (Z(10) @ Z(1)) + 0.11666666666666667 * (Z(10) @ Z(0)) + 0.31666666666666665 * (Z(10) @ Z(5)) + 0.0666... | 11 | 12 | 1 | {"smallest_eigenvalues": [-5.916666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.55, "smallest_bitstrings": ["000010010101"], "largest_eigenvalue": 26.000000000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(3.2605536719544648) q[0];
rz(0.48387743805791034) q[0];
ry(0.043842136587165556) q[1];
rz(0.5298569003279174) q[1];
cx q[1], q[0];
ry(-0.015482067247901283) q[1];
rz(0.1112617721263755) q[1];
ry(1.5004703828682588) q[2];
rz(-0.012181444029640465) q[2];
ry(1.67316269... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIZIIIIIIIZI",
"IIZIIIIIIIIZ",
"IIZIIIZIIIII",
"IZIIIIIIIIZI",
"IZIIIIIIIIIZ",
"IZIIIIZIIIII",
"IZZIIIIIIIII",
"ZIIIIIIIIIZI",
"ZIIIIIIIIIIZ",
"ZIIIIIZIIIII",
"ZIZIIIIIIIII",
"ZZIIIIIIIIII",
"IIIIZIIIIIZI",
"IIIIZIIIIIIZ",
"IIIIZIZII... | [
0.3833333333333333,
0.23333333333333334,
0.25,
0.15,
0.36666666666666664,
0.06666666666666667,
0.11666666666666667,
0.11666666666666667,
0.31666666666666665,
0.06666666666666667,
0.21666666666666667,
0.16666666666666669,
0.19999999999999998,
0.11666666666666667,
0.11666666666666667,
0.... | 0.971784 | [
3.2605536719544648,
0.48387743805791034,
0.043842136587165556,
0.5298569003279174,
1.5004703828682588,
-0.012181444029640465,
1.6731626968050581,
-0.006578513662915342,
2.8706093128499646,
0.5100553190308317,
-0.04943553462020845,
-2.08687444305562,
1.5743893837158713,
1.7301164884982234,
... | {
"n_parameters": 40,
"n_qubits": 12,
"optimal_eigenvalue": -5.916666666666666,
"target_ratio": 0.97,
"target_value": -5.739166666666666
} | 10 |
3179afe1dc957b5c6c41286c03203dc8 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [91, 346], "expectation_value": -2.1428063583689663, "params": [[[0.10490000000000001, 0.0026000000000000003], [0.0886, 0.0279], [0.4994, -0.0889], [-0.2827, -0.1241], [0.48760000000000003, 0.40140000000000003], [0.4943, 0.35650000000000004], [0.046900000000000004, 0.24780000000000002], [0.4978, 0.3872000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 15 | 9 | 4 | {"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": ["010100110", "010100101", "001100101", "100100101", "011100100", "010110010", "010101100"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.13519463971453738) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(-0.13519463971453738) q[5];
cx q[0], q[5];
h q[6];
cx q[1], q[6];
rz(-0.13519463971453738) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIIZZIIZ",
"IIIZIZIIZ",
"IIIZZIIIZ",
"IIIZZZIII",
"IIIZZZIIZ",
"IIZIZIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"IIIZIIZII",
"IZIIIIZII",
"ZIIIIIZII",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
-0.25,
0.125,
-0.625,
-0.125,
0.25,
-... | 0.886931 | [
-0.13519463971453738,
-1.6691644219825768,
-0.6313546200021425,
0.11027252980613785,
1.1036832609062868,
-1.79926365316697,
1.0758154656507484,
1.9622076409523441,
-2.3901140905378706,
-1.0044660673943189,
-0.4784452543272119
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 352 |
fb05f19bbdb0da3189dcb4c536be2edc | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"s... | {"states": [8177, 8161], "expectation_value": -33.111713424650425, "params": [[[-0.0023, 2.9158], [-0.0036000000000000003, -0.0031000000000000003], [0.0019, -0.0023], [-0.0034000000000000002, -0.0024000000000000002], [-0.003, -0.003], [-0.003, -0.0031000000000000003], [-0.002, -0.0025], [-0.0022, 0.0022], [-0.884300000... | -1.5 * (Z(0) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(7)) + -2.5 * (Z(8) @ Z(10)) + -2.5 * (Z(11) @ Z(10)) + 1.0 * (Z(11) @ Z(8)) + -2.5 * (Z(9) @ Z(10)) + 0.5 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(11)) + -2.5 * (Z(12) @ Z(2)) + 1.0 * (Z(3) @ Z(2)... | 15 | 13 | 1 | {"smallest_eigenvalues": [-37.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.0, "smallest_bitstrings": ["0000000011110"], "largest_eigenvalue": 23.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.007862006123366828) q[0];
ry(-0.32854673447291016) q[1];
ry(-0.07617880454384468) q[2];
ry(-0.037054894102979755) q[3];
ry(-0.015401502274797828) q[4];
ry(-0.015401502274797828) q[5];
ry(0.007811975551353226) q[6];
ry(0.07128058473442729) q[7];
ry(-0.3816377620627... | 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... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIIZ",
"IIIIIZZIIIIII",
"IIIIIZIIIIIIZ",
"IIIIIIZIIIIZI",
"IIIIIIIIIIIZZ",
"IIIIIZIIIIIZI",
"IIZIZIIIIIIII",
"IZZIIIIIIIIII",
"IZIIZIIIIIIII",
"IIZZIIIIIIIII",
"IIIZZIIIIIIII",
"IZIZIIIIIIIII",
"ZIIIIIIIIIZII",
"IIIIIIIIIZZII",
"ZIIIIIIIIZIII",
"IIIIIIIIZIZII",
"ZIIIIIIIZII... | [
-1.5,
-2,
-2,
0.5,
0.5,
-2,
-2.5,
-2.5,
1,
-2.5,
0.5,
-2,
-2.5,
1,
-2.5,
-2.5,
-2.5,
-2,
-2,
-2.5,
0.5,
1,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-2,
1.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.975135 | [
0.007862006123366828,
-0.32854673447291016,
-0.07617880454384468,
-0.037054894102979755,
-0.015401502274797828,
0.007811975551353226,
0.07128058473442729,
-0.3816377620627639,
0.2940892842176122,
-0.014365780385894325,
-0.08589901203877867,
-0.017318154646845232,
3.047155208345541,
-0.0382... | {
"n_parameters": 18,
"n_qubits": 13,
"optimal_eigenvalue": -37,
"target_ratio": 0.97,
"target_value": -35.89
} | 29 |
-3224638487410724847 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 5], [0, 1], [2, 3], [2, 5], [2, 4], [1, 4], [4, 5], [1, 3], [3, 5]]} | {"states": [25, 38], "expectation_value": -0.10393636333693386, "params": [[0.0785], [-0.07590000000000001]], "bitstrings": ["100110", "011001"], "total_optimization_steps": 10, "probabilities": [0.017496153134147086, 0.017496153134147086], "optimization_time": 1.4281017780303955} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["100111", "100110", "011000", "011001"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.1400923798961628) q[0];
h q[1];
cx q[1], q[0];
ry(0.1400923798961628) q[0];
cx q[1], q[0];
ry(-1.1287121343477273) q[0];
ry(1.2555710780941758) q[1];
h q[2];
h q[3];
ry(-0.18052709359627292) q[3];
cx q[2], q[3];
ry(0.18052709359627292) q[3];
cx q[2], q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[5], q[3];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"ZIIIZI",
"IIIIZZ",
"ZIIZII",
"ZIZIII",
"IIZIZI",
"IIZZII",
"ZZIIII",
"IZIIZI",
"IZIZII",
"ZIIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.971627 | [
-0.2801847597923256,
1.2555710780941758,
-0.36105418719254584,
1.5102721355728506,
-1.0479966901811935,
-0.8222831627315479,
0.2521104351511431,
-0.9773637272950426,
0.08305556049227468,
0.41603110340452093,
-0.0009748888485288376,
-0.38272958386944295,
0.4049179472323623,
0.29229643300270... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 21 |
87817ed0e2b47d9c36c22c880413bf31 | 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": 0, "target": 6}, {"source": 1, "target": 6}, ... | {"states": [58, 46], "expectation_value": -6.499898994644885, "params": null, "bitstrings": ["1000101", "1010001"], "total_optimization_steps": 35, "probabilities": [1.634968853152207e-05, 0.9999303746784153], "optimization_time": 38.24358320236206} | 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(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + -1.5 * Z(2) + -2.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(4) + ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["1010001"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-2.9916356882464004) q[0];
rz(-0.8859281924514928) q[0];
rx(3.207354225615328) q[1];
rz(0.4075842274915907) q[1];
cx q[1], q[0];
rz(0.2953093974838311) q[0];
cx q[1], q[0];
rz(-0.006402885480095197) q[1];
rx(-2.9379742999689853) q[2];
rz(-0.5161419609445748) q[2];
r... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IZIIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-2,
-1,
-1,
-0.5,
-2.5,
0
] | 0.978966 | [
3.2915496189331863,
-0.5906187949676622,
3.207354225615328,
0.4075842274915907,
3.3452110072106014,
-0.6861070536720177,
-0.028923821888268073,
0.13457292987234554,
3.300540352279058,
0.08139365263017524,
-0.09366211409025796,
-1.5704843482632795,
0.038027131363406616,
-0.7987513664288556,... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -4.21875,
"target_ratio": 0.97,
"target_value": -4.0921875
} | 43 |
e2fd758a3afa6a51c78ff05fa92b78d0 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": 4, "target":... | {"states": [456, 448], "expectation_value": -13.460979466916024, "params": null, "bitstrings": ["000110111", "000111111"], "total_optimization_steps": 54, "probabilities": [0.08675654566896131, 0.519650792754482], "optimization_time": 63.88488268852234} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(6)) + -3.0 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(3)) + -2.0 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 5 | 9 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["000111111"], "largest_eigenvalue": 23.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.0014701911647985) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.0014701911647985) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.054333167468443744) q[1];
rx(0.9556432989032126) q[1];
rz(0.054333167468443654) q[2];
cx q[0], q[2];
rz(0.05... | null | {"node": 4} | {"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[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] = ... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIZIIZIII",
"IIZIZIIII",
"IIIIZZIII",
"IZIIIZIII",
"IZIIZIIII",
"ZIZIIIIII",
"ZIIIIZIII",
"ZIIIZIIII",
"ZZIIIIIII",
"IIZZIIIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIZIIIIII",
"IIIIIZIII",
"IIIIZIIII",
"... | [
-1.5,
-1.5,
0.5,
-2.5,
-3,
1,
0.5,
0.5,
0.5,
0.5,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
1.5,
-2.5,
-2.5,
-2,
-2,
0.5
] | 0.582634 | [
1.0014701911647985,
0.054333167468443654,
0.9477412893892125,
0.24493680271071364,
0.0316950669854548,
0.8626786221201721,
0.5496184190932918,
0.9556432989032125
] | {
"n_parameters": 8,
"n_qubits": 9,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 186 |
93141c357d164fcf2a36ba666f8f01e3 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [0, 3], "expectation_value": -2.499905744134611, "params": null, "bitstrings": ["1111", "1100"], "total_optimization_steps": 12, "probabilities": [1.7262802419417304e-05, 0.9999394822330102], "optimization_time": 5.610859394073486} | 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)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["1100"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1714898456555271) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.1714898456555271) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1714898456555271) q[1];
cx q[1], q[0];
rz(-0.24938667349607663) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-0.5
] | 0.525188 | [
0.1714898456555271,
-0.24938667349607663,
1.1176635259891476,
0.8103834446690221,
-0.7718739166458187
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 163 |
20a8103f07dd8a24047f028e6edcf2b9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 14, "source": 1, "target": 3}, {"weight": 14, "source": 1, "target": 4}, {... | {"states": [235, 122], "expectation_value": -9.641735377450539, "params": [[-0.0477], [0.064]], "bitstrings": ["00010100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.006954162516122898, 0.0077460181017357695], "optimization_time": 2.0106070041656494} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-67.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 161.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.2272642165478831) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.2272642165478831) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.2272642165478831) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(-0.2272642165478831) q[3];
cx q[2], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11.5,
12,
15,
19,
15.5,
6,
13.5,
9
] | 0.977575 | [
-0.2272642165478831,
0.24690528235963702,
-1.616083881978433,
0.017740733314421664,
-0.14747982232849638,
0.3724409492159851,
-0.3700067438537054,
-0.3747534950486415,
-1.2525943523608623,
0.1296028652764544,
0.2611058491705527,
0.6338612826613662,
0.30862829146170234,
0.9608679921026143,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -67.5,
"target_ratio": 0.97,
"target_value": -65.475
} | 95 |
18dd4c426cbe67a44eb1a1feaa80acf2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [51, 119], "expectation_value": -6.903041544118682, "params": null, "bitstrings": ["11001100", "10001000"], "total_optimization_steps": 69, "probabilities": [0.2168824596047679, 0.2675820057610101], "optimization_time": 90.69609570503235} | -1.0 * (Z(0) @ Z(4)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + -1.75 * (Z(7) @ Z(1)) + -1.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-13.0, -13.0, -13.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -12.0, "smallest_bitstrings": ["10011110", "10001000", "10000000"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(0.030884823531118308) q[1];
cx q[3], q[1];
h q[4];
cx q[4], q[0];
rz(0.030884823531118308) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(-0.40111922029181324) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(0.007720559305830536)... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIZIIIZ",
"IIIIZIZI",
"IIZZIIII",
"IIZIZIII",
"IIZIIIZI",
"IZIZIIII",
"IZIIZIII",
"IZIIIIZI",
"IZZIIIII",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIIIIZI",
"IIIIIZZI",
"IIZIIZII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII"
] | [
-1,
-1,
-1.25,
-0.5,
-0.5,
-1.5,
-1.5,
-0.5,
-0.25,
1.25,
-1,
-1.75,
-1.75,
-0.75,
-1.75,
-0.25,
-1,
2,
-0.25,
0.25,
-1.5,
2.5
] | 0.931747 | [
0.030884823531118308,
-0.40111922029181324,
0.007720559305830536,
-0.23315600538113385,
0.24539243476162034,
-0.4806649345399758,
0.17063070767241398,
-0.008540380939666133,
-1.7059085606254492,
1.636041258700253,
-0.9195588453897449,
1.2680234351244943,
0.021909361287217762,
-0.3369092285... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 500 |
1b85dbadf49d5e00f9e47be861e776c4 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [42, 14], "expectation_value": -5.496464013564576, "params": null, "bitstrings": ["1010101", "1110001"], "total_optimization_steps": 25, "probabilities": [0.0663487357359079, 0.9303658527537751], "optimization_time": 23.904735803604126} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1010101", "1110001"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.13453324330091465) q[0];
rz(1.0753513770848593) q[0];
rx(2.975746346254277) q[1];
rz(-0.6781668590082865) q[1];
rx(-0.2367256632155181) q[2];
rz(-0.22310665326415446) q[2];
rx(2.89712186884282) q[3];
rz(-0.1081053917582111) q[3];
rx(0.3607917338098562) 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];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIZIII",
"ZIZIIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-2,
-1.5,
-0.5,
-1.5,
-1.5,
0
] | 0.974192 | [
-0.13453324330091465,
1.0753513770848593,
2.975746346254277,
-0.6781668590082865,
-0.2367256632155181,
-0.22310665326415446,
2.89712186884282,
-0.1081053917582111,
0.3607917338098562,
3.4678529874554633,
1.0387317108088614,
-0.09274751190222191,
-0.35032557567080463
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 16 |
9b6c90aee56ab84919f7c826e678a024 | 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": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [9, 28], "expectation_value": -1.0184924796813783, "params": [[0.07590000000000001, 0.0745, 0.0687, 0.0631], [-0.0833, -0.0814, -0.0722, -0.0639]], "bitstrings": ["10110", "00011"], "total_optimization_steps": 10, "probabilities": [0.05574629770498392, 0.06557427372974345], "optimization_time": 3.80735158920... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + 0.0 * Z(1) + -0.5 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["00011"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.715232848262334) q[0];
h q[1];
ry(-0.030328296195851544) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.715232848262334) q[3];
cx q[1], q[3];
ry(0.715232848262334) q[3];
cx q[1], q[3];
ry(0.8365951312196482) q[1];
ry(-0.137398110733318) q[3];
h q[4];
cx q[4], q[0];
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": []} | [
"IZIIZ",
"ZZIII",
"ZIIIZ",
"IZIZI",
"IZZII",
"ZIZII",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1,
0,
-0.5
] | 0.971164 | [
-1.5328804564516896,
-1.430465696524668,
1.0834096726626357,
0.8365951312196482,
-0.5509012021507701,
-0.274796221466636,
0.5569995611029345,
-0.19436412134691167,
0.4190248734622253,
-0.1534221934072706,
-0.34688012124946255,
0.35811511996319667,
0.3114564153778113,
-0.27922289113440785,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 4 |
881ad8e96d98232babdd9271f9c6d212 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [560, 562], "expectation_value": -6.981006744533673, "params": [0.8078000000000001, 0.0028, 0.8094, 0.0066, -0.0033, 0.4994, -0.0034000000000000002, 0.0044, 0.16290000000000002, -0.32480000000000003, 0.1597, 0.0002, 0.1792, 0.29300000000000004, 0.17950000000000002, 0.0097, 0.8096, -0.0023, 0.809, 0.0098, 0.8... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) ... | 7 | 10 | 1 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -8.0, "smallest_bitstrings": ["0111100101", "0110110101", "0111001101", "1101001011", "1101101010"], "largest_eigenvalue": 25.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.197946356614005) q[0];
rz(0.46288832664404156) q[0];
rx(-0.0666434317066042) q[1];
rz(0.04451625247368443) q[1];
cx q[1], q[0];
rz(-0.2597978325574581) q[0];
cx q[1], q[0];
rx(1.7427580844198431) q[0];
rz(-0.5377196890681125) q[0];
rx(0.08809310791611101) q[1];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIIIIZZIII",
"IZIIIIIIZI",
"IZIIIIIZII",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZIIIIIZIII",
"ZIIIIZIIII",
"ZZIIIIIIII",
"IIIZIIIZII",
"IIZZIIIIII",
"IIIZIZIIII",
"ZIIZIIIIII",
"IIIIZIZIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-3,
-1,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-2,
-1.5,
0
] | 0.974162 | [
1.1979463566140045,
0.20309049408658364,
-0.0666434317066042,
0.04451625247368443,
-0.04436127866389257,
-0.2759624579514765,
0.086476483745412,
-0.007688711660140263,
1.5655936377311215,
0.1680331382411596,
1.377596477657842,
-0.19333870680595633,
0.6054005963998141,
-0.09210904436911434,... | {
"n_parameters": 46,
"n_qubits": 10,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 14 |
cde6b48ed870286595c1455af7aff8bd | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}, {"source": 2, "target": 3}]} | {"states": [2941, 2933], "expectation_value": -5.279221738073242, "params": [1.0868, 0.0944, 0.4374, 0.5669000000000001, 1.0754000000000001, 0.2665, 1.1236000000000002, 0.1463, 0.48050000000000004, 0.6434000000000001, 1.1361, 0.22310000000000002, 0.9400000000000001, -0.0015, 1.0988, -0.0029000000000000002, 0.5672, 0.41... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 16 | 12 | 3 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["100100010100", "100100010001", ... | 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] x100;
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 floa... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIZIIIIII",
"IZIIZIIIIIII",
"IZZIIIIII... | [
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,
0.5,
0.25,
0.5,
0.5,
0.75,
0.75,
0.75,
1.25,
1.25,
1.25,
0.75,
0.75,
0.75,
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 |
a5ab45828095e3b6ad01a6edd098559d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [166, 182], "expectation_value": -1.365348954234532, "params": [0.34040000000000004, 0.265, 0.6019, 0.2736, 0.47540000000000004, 0.2495, 0.5997, 0.29710000000000003, 0.602, -0.006200000000000001, 0.3209, 0.1468, 0.6057, 0.013800000000000002, 0.6044, 0.0019, 0.0021000000000000003, 0.4571, 0.3249, 0.2738, 0.60... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(0) @ Z(5)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(1) @ Z(7)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(2) @ Z(6)) + 0.0625 * (Z(2) @ Z(7)) + 0... | 16 | 9 | 3 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.5625, "smallest_bitstrings": ["011001001", "101000011", "010101001", "101001001", "100100011"], "largest_eigenvalue": 6.4375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-2.993144251948836) q[0];
rz(-pi) q[0];
ry(-2.9604569043897535) q[1];
rz(-pi) q[1];
ry(-0.15019744240826063) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.57685644977454) q[3];
h q[4];
ry(1.334193894508531) q[4];
ry(-0.15019744240826063) q[5];
rz(-pi) q[5];
cx q[4], q[5];
ry(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIZZIIIZ",
"IIIIIIZZI",
"IIIIZIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIIIZIZII",
"IIZIIIZII",
"IZIIIIZII",
"IIZIZIIII",
"IZIIZIIII",
"IZZIIIIII",
"IIIIZIZZI",
"IIZIIIZZI",
"IZIIIIZZI",
"IIZIZIIZI",
"IZIIZIIZI",
"... | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
... | 0.998709 | [
-1.57685644977454,
-1.3762484136561766,
1.334193894508531,
-0.08870094146091884,
0.1763080612908177,
0.11093336617265198,
0.27357568021736334,
0.2346595203558255,
-0.07375432930070153,
0.053620363574579985
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
0f435eed505f807fb8dc44643dfd43ce | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 2}, {"weight": 13, "source": 0, "target": 3}, {"weight": 17, "source": 1, "target": 2}, {"weight": 11, "source"... | {"states": [62, 61], "expectation_value": -19.92232210859488, "params": [[-0.0352, -0.0009000000000000001], [0.07200000000000001, 0.0781]], "bitstrings": ["1000001", "1000010"], "total_optimization_steps": 10, "probabilities": [0.018430043522226783, 0.02300416974995136], "optimization_time": 3.491827964782715} | 3.0 * (Z(0) @ Z(1)) + 3.0 * (Z(2) @ Z(1)) + 3.0 * (Z(2) @ Z(0)) + 3.0 * (Z(3) @ Z(1)) + 3.0 * (Z(3) @ Z(0)) + 3.0 * (Z(4) @ Z(0)) + 3.0 * (Z(4) @ Z(2)) + 3.0 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-59.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["1000010"], "largest_eigenvalue": 134.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.366669122515066) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.366669122515066) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.366669122515066) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.366669122515066) q[3];
cx q[0], q[3];
h 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": "near_perfect", "extra": "{\"n\": 5}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
19,
7.5,
12.5,
17.5,
11.5,
12,
9.5
] | 0.608376 | [
0.366669122515066,
0.6186240853904678,
-0.8045916182441789
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 106 |
118037051d4e064ed30ce81580caf956 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [256, 3], "expectation_value": -5.9063490017377935, "params": null, "bitstrings": ["011111111", "111111100"], "total_optimization_steps": 35, "probabilities": [0.0653228969758787, 0.825432598909055], "optimization_time": 48.923253774642944} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + 1.0 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(7) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["111111100"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.35423059686369135) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(-0.35423059686369135) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], q[2];
rz(-0.4605338850426425) q[2];
cx q[1], q[2];
cx q[1], q[4];
rz... | 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];\ncry(-1.5158) q[8], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... | [
"IIIIIIIZZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIIIIIZZI",
"IIIIZIIZI",
"IIZIZIIII",
"IIIZIIIZI",
"IIZZIIIII",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIZIII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIIIIZIII",
"... | [
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
1,
-0.25,
-0.5,
0.5,
-0.25,
-0.25,
-0.5,
-0.5,
0,
0.25,
0.25,
0.5
] | 0.636679 | [
-0.35423059686369135,
-0.4605338850426425,
0.5282199439181262,
0.4658687987128326,
0.08870843927991051,
0.46315182564164276,
-1.2916398330214331,
-0.4799638239930953,
-0.8971536052342277,
1.250974588504574,
0.7069071801825778,
0.3413040230787353,
-0.688751698856056
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 285 |
2398b0b8852b758caa629303970b584b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [12, 49], "expectation_value": -0.2798565443075278, "params": [[0.0731], [-0.0712]], "bitstrings": ["110011", "001110"], "total_optimization_steps": 10, "probabilities": [0.017971824086236144, 0.018283869114096116], "optimization_time": 1.254953384399414} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(1) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.039254698902790326) q[0];
rz(pi/2) q[0];
ry(0.3648670593836806) q[1];
ry(0.3376361431186225) q[2];
ry(0.37423268336375176) q[3];
ry(0.5746655888699254) q[4];
ry(-0.09537820387184358) q[5];
ry(0.4618259931807873) q[6];
ry(0.43542575300609276) q[7];
ry(0.45015024645... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(x0) q[4]... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IZZIII",
"IIIZZI",
"IIZIZI",
"IZIIZI",
"ZIIZII",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1.5,
-1,
-0.5
] | 0.9724 | [
0.039254698902790326,
0.3648670593836806,
0.3376361431186225,
0.37423268336375176,
0.5746655888699254,
-0.09537820387184358,
0.4618259931807873,
0.43542575300609276,
0.45015024645460006,
0.02352608316433561,
0.3808695150484027,
-0.32131097767290606,
0.1267658218374237,
-0.03091676333232282... | {
"n_parameters": 152,
"n_qubits": 10,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 36 |
-2619258521276168165 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 6], [1, 2, 3, 4, 6], [0, 1, 4, 7], [0, 2, 4, 6], [0, 1, 4, 5, 6], [0, 1, 2, 5, 6], [1, 2, 3, 4, 5], [0, 1, 2, 3, 5]]} | {"states": [158, 159], "expectation_value": -0.7600375713623141, "params": [[-0.25670000000000004], [0.2684]], "bitstrings": ["01100001", "01100000"], "total_optimization_steps": 30, "probabilities": [0.006620017917081857, 0.006663954967206755], "optimization_time": 1.5898191928863525} | 0.26666666666666666 * (Z(0) @ Z(2)) + 0.23333333333333334 * (Z(3) @ Z(2)) + 0.13333333333333333 * (Z(3) @ Z(0)) + 0.26666666666666666 * (Z(6) @ Z(2)) + 0.26666666666666666 * (Z(6) @ Z(0)) + 0.13333333333333333 * (Z(6) @ Z(3)) + 0.2 * (Z(1) @ Z(2)) + 0.23333333333333334 * (Z(1) @ Z(0)) + 0.15000000000000002 * (Z(1) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.7500000000000004, -1.7500000000000004, -1.7500000000000004], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.75, "smallest_bitstrings": ["01100000", "00100101", "00000111"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.5960125153046163) q[0];
ry(-3.018278489681295) q[1];
rz(-pi) q[1];
ry(-2.69441838802795) q[2];
rz(-pi) q[2];
cx q[0], q[2];
ry(-0.2948399157758851) q[2];
cx q[0], q[2];
cx q[0], q[1];
ry(-0.15545953865988063) q[1];
cx q[0], q[1];
ry(0.08367622456396215) q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IZIIIZII",
"IZIIIIIZ",
"IZIIZIII",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZIZI",
"IZIIIIZI",
"IIIZIZII",
"IIIZIIIZ",
"IIIZZIII",
"IZIZIIII",
"IIIZIIZI",
"ZIIIIIIZ",
"ZIIIIIZI",
"ZIIZIIII",
"IIZIIZII",
"IIZIIIIZ",
"IIZIZIII",
"IZZIIIII",
"IIZIIIZ... | [
0.26666666666666666,
0.23333333333333334,
0.13333333333333333,
0.26666666666666666,
0.26666666666666666,
0.13333333333333333,
0.2,
0.23333333333333334,
0.15000000000000002,
0.15000000000000002,
0.18333333333333335,
0.21666666666666667,
0.1,
0.18333333333333335,
0.23333333333333334,
0.0... | 0.977406 | [
1.5960125153046163,
1.2920226242265176,
0.8287821454571682,
-0.5347828380424335,
0.5896798315517702,
-0.4711210032223914,
-0.29742672880124105,
0.31091907731976126,
-0.09710456792333241,
0.1673524491279243,
-0.40470977303316674,
-0.40648026016825634,
0.4437973230731106,
-0.3128407484577175... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -1.7500000000000004,
"target_ratio": 0.97,
"target_value": -1.6975000000000005
} | 1 |
3ab147cc948c972495cc9d6b1a04d6d2 | 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": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [37, 52], "expectation_value": -0.46574303848309784, "params": [[-0.0733, -0.0668], [0.0707, 0.07250000000000001]], "bitstrings": ["011010", "001011"], "total_optimization_steps": 10, "probabilities": [0.020537849949624043, 0.020537849949624043], "optimization_time": 2.29236102104187} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(1) + -0.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["011010", "000111", "010110", "001011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.2617382474824059) q[0];
rz(-0.25556683543857517) q[0];
rx(3.2549553359388126) q[1];
rz(-0.1904150377377148) q[1];
rx(0.11533762007237594) q[2];
rz(0.15040563274986068) q[2];
rx(-0.11428203016202747) q[3];
rz(0.06697334278189641) q[3];
rx(3.1542430010311207) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IZIIZI",
"ZZIIII",
"ZIIIZI",
"IZIZII",
"IZZIII",
"IIZZII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"ZIIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.977185 | [
-0.2617382474824059,
-0.33943598223353566,
3.2549553359388126,
-0.1904150377377148,
0.11533762007237594,
0.15040563274986068,
-0.11428203016202747,
0.06697334278189641,
3.1542430010311207,
0.320444768261287,
3.301363365899691,
-0.4991032485906577,
3.212741703886446,
-0.18414658324060862,
... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 28 |
4a01a984c253fac78cca60269d01efc1 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [501, 485], "expectation_value": -1.6296986516871528, "params": [0.1401, 0.4847, 0.7935, 0.1022, 0.7958000000000001, -0.1658, 0.7972, -0.1811, 0.7962, -0.1436, 0.5179, -0.14200000000000002, 0.12440000000000001, 0.34840000000000004, 0.7933, 0.1448, 0.1588, 0.5421, 0.7942, 0.14300000000000002, 0.1388, 0.5183, ... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(5)) + -0.125 * (Z(2) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(2) @ Z(3) @ Z(4... | 18 | 10 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.25, "smallest_bitstrings": ["1010000101", "0111000010", "0110000110", "1000101001", "1000011010", "1011000001", "1000011001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.6793430139584373) q[0];
rz(-0.5475083314169016) q[0];
rx(0.09515557675715071) q[1];
rz(0.4627722943263448) q[1];
rx(1.739060974583087) q[2];
rz(0.6202117139471692) q[2];
rx(0.042183941876142855) q[3];
rz(0.392309081606653) q[3];
rx(-0.11805148560226901) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIZIIZII",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIIZZZII",
"IIIIZIZZII",
"IIIIZZIZII",
"IIIIZZZIII",
"IIIIZZZZII",
"IIIZIIIZII",
"IIIZIIZIII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIZZIIZIII",
"IIIIIZIIIZ",
"IZIIIIIIIZ",
"IZIIIZIIII"... | [
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0.5,
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1.6793430139584373,
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0.09515557675715071,
0.3302807664246088,
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0.08362319787918186,
0.5828470670098009,
1.4443840052954673,
0.3194847730018116,
0.... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 14 |
-1655252116806949232 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 4], [1, 11, 5], [8, 1, 9], [10, 4, 6], [1, 4], [10, 11], [0, 2, 3], [2, 3, 6], [8, 11], [3, 1, 11], [9, 11], [2, 11], [8, 6], [8, 3, 4], [11, 3, 5], [1, 3, 7], [9, 5], [0, 8], [1, 2], [8, 1, 5], [2, 10, 4], [8, 7], [10, 3, 6], [9, 3], [10, 4, 5], [8, ... | {"states": [3442, 3443], "expectation_value": -5.221735842692719, "params": [[[2.3174, 0.0094], [2.7042, 0.0019], [1.1964000000000001, 0.0014], [2.7045000000000003, 0.0048000000000000004], [1.3408, 0.0016], [2.7021, 0.0094], [2.7030000000000003, 0.0089], [2.693, 0.006], [0.7146, 0.0061], [0.5984, 0.0017000000000000001]... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(11) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(11)) + 0.16666666666666666 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(0)) + 0.3333333333333333 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(11)) + 0.166... | 1 | 12 | 1 | {"smallest_eigenvalues": [-8.333333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.666666666666666, "smallest_bitstrings": ["001010001100"], "largest_eigenvalue": 23.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(3.2932102912525187) q[0];
rz(-0.34550614590727785) q[0];
rx(3.114654764794482) q[1];
rz(0.3223116020797099) q[1];
rx(0.2141647864135836) q[2];
rz(0.8151381349737234) q[2];
rx(3.361846244149952) q[3];
rz(0.11852169813356922) q[3];
rx(-0.07362986723628737) q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZ",
"IIIIIIIZIIZI",
"ZIIIIIIIIIZI",
"IIIIIIZZIIII",
"IIIIIIZIIIZI",
"ZIIIIIZIIIII",
"IIIZIIIZIIII",
"IIIZIIIIIIIZ",
"IIIZIIIIIIZI",
"ZIIZIIIIIIII",
"IIIZIIZIIIII",
"IIZIIIIIIIIZ",
"IIZIIIIIIIZI",
"ZIZIIIIIIIII",
"IIZIIIZIIIII",
"IIZZIIIIIIII",
"IZIIIIIZIIII",
"ZZIIIIIII... | [
0.5,
0.5,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.5,
0.3333333333333333,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,... | 0.977397 | [
3.2932102912525187,
-0.34550614590727785,
3.114654764794482,
0.3223116020797099,
0.2141647864135836,
0.8151381349737234,
3.361846244149952,
0.11852169813356922,
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3.415338962857094,
3.1700425360200293,
-0.4146543556383748,
2.7603713291395864,
0.40... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -8.333333333333336,
"target_ratio": 0.97,
"target_value": -8.083333333333336
} | 27 |
82f2332f741b5ec7aa4bb36843cd0c9a | 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": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [18, 41], "expectation_value": -0.7128003620740568, "params": [[-0.058100000000000006, -0.051800000000000006, -0.013900000000000001], [0.0712, 0.0669, 0.0485]], "bitstrings": ["101101", "010110"], "total_optimization_steps": 10, "probabilities": [0.022574285654762903, 0.023748021664935844], "optimization_tim... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["010110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-2.9403241929083443) q[0];
rz(-pi) q[0];
ry(-0.01720215763442262) q[1];
rz(-pi) q[1];
h q[2];
ry(1.3821290800872883) q[2];
cx q[2], q[1];
ry(0.0694860038996782) q[1];
cx q[2], q[1];
ry(0.05613383548624982) q[2];
ry(0.05850050848206348) q[1];
h q[3];
ry(-1.53601897824... | 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",
"IIZIZI",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"IIIZZI",
"IZIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
-0.5,
-0.5
] | 0.996279 | [
-1.536018978243284,
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-1.484108165260796,
1.351841337460216,
1.3821290800872883,
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0.11226767097249964,
0.06281983496563942,
0.009137857048212211,
0.11700101696412696,
0.06302910739104162,
0.030614649874232056,
0.05044832124532061... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
be98abf16f233411f1a7350078e6bb3a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [66, 82], "expectation_value": -2.151842771022234, "params": [[[0.4078, 0.0033], [0.1752, 0.1135], [0.398, -0.0014], [0.17750000000000002, -0.10840000000000001], [0.0037, 0.26430000000000003], [0.4042, 0.0032], [0.0017000000000000001, 0.31]], [[0.405, -0.0002], [0.1778, 0.11380000000000001], [0.3983000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(6) @ Z(0)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(0) @ Z(5) @ Z(2)) + -0.125 * (Z(6) @ Z(0) @ Z(2)) + -0.125 * (Z(6) @ Z(0) @ Z(5)) + -0.125 * (Z(6)... | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.625, "smallest_bitstrings": ["0110101", "1001101", "0101101"], "largest_eigenvalue": 6.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-2.8866218236344316) q[0];
rz(-pi) q[0];
h q[1];
ry(1.2356297707224817) q[1];
h q[2];
h q[3];
ry(-0.5530370544994598) q[3];
cx q[2], q[3];
ry(0.5530370544994598) q[3];
cx q[2], q[3];
ry(1.1054456705057107) q[2];
ry(-0.7636676340418977) q[3];
h q[4];
ry(-1.59776952939... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZZII",
"IZZIIII",
"IIIIZIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"IZIIZIZ",
"ZIIIZIZ",
"ZZIIIIZ",
"ZZIIZII",
"ZZIIZIZ",
"IIIZIZI",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
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-0.125,
-0.125,
0.125,
0.5,
-0.125,
-0.5,
-0.125,
-0.5,
-1,
-0.125,
-0.625
] | 0.992448 | [
-1.5977695293907963,
-1.459849889172577,
1.4580013182065084,
1.2356297707224817,
-1.1060741089989197,
0.8468506728280528,
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0.5171899953553162,
-0.6526794914556634,
0.0810737453704696,
-0.19532620689083113,
0.1603914522341073,
0.23253106854741273,
... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
151037f60feb2ab36dd911279333468a | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [88, 100], "expectation_value": -3.064950087847157, "params": [0.403, 0.0024000000000000002, 0.4048, 0.0026000000000000003, 0.39680000000000004, 0.0038, 0.4007, 0.0006000000000000001, 0.4036, 0.0028, -0.0039000000000000003, 0.19, 0.1373, 0.1612, 0.4031, 0.0002, 0.4022, 0.0026000000000000003, 0.3985, 0.0044, ... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(5) + -0.5 * Z(0) + -0.5 * Z(6) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) | 4 | 7 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["1010110", "0100111", "1100110", "0101011", "0011011", "0010111"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-0.539452789434488) q[1];
h q[2];
cx q[2], q[1];
ry(0.539452789434488) q[1];
cx q[2], q[1];
ry(-0.5845116657967028) q[1];
ry(0.9834662797149554) q[2];
h q[3];
ry(1.5330096657731351) q[3];
ry(-0.11200390697869815) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.6575... | 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": []} | [
"IZIIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IZIIZII",
"IIIIZZI",
"IZIZIII",
"IZZIIII",
"ZIZIIII",
"IIZZIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-1
] | 0.993425 | [
-1.6575525822630313,
-1.449926247916613,
1.5330096657731351,
-0.9691702254542486,
-1.078905578868976,
0.7709667434794807,
0.7760692036349812,
-0.5005787858870715,
0.7322163787030611,
-0.45679582590987716,
0.41479415215994836,
-0.459057514051594,
-0.2554316797736514,
0.3373200785540253,
0... | {
"n_parameters": 26,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
b93e7e87e2621c92c7ba04b041c49bf3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 2}, {"weight": 14, "source": 0, "target": 4}, {"weight": 13, "source": 1, "target": 2}, {"weight": 1... | {"states": [125, 122], "expectation_value": -11.040968029392511, "params": [[-0.0313, -0.0379], [0.039400000000000004, 0.0579]], "bitstrings": ["10000010", "10000101"], "total_optimization_steps": 10, "probabilities": [0.00858927326688335, 0.00919150719476236], "optimization_time": 3.6785337924957275} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) @ Z(4)) + 3.5 * (Z(7) @ Z(6)) + 16.5 * Z(1) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-61.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 139.5} | 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(-0.18095492688154305) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.18095492688154305) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.18095492688154305) q[2];
cx q[3], q[2];
rz(0.8074839178710835) q[3];
rx(1.411180127000671) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIIZII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
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,
16.5,
10,
14,
13.5,
12,
7.5,
9.5,
7.5
] | 0.923411 | [
-0.18095492688154305,
0.8074839178710835,
-0.9410650216682992,
1.4111801270006712,
-0.7361957294362335,
0.4420026896995149,
0.28479132416285424,
1.0392592742276436,
-0.5347775873994031,
1.322723886363652,
-1.2976651434758002,
0.9340766908427282,
-0.730793540399182,
0.9791307353720787,
-1... | {
"n_parameters": 16,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 419 |
76e219723f90bea64e0fa4fea2d9c01b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 7}, {"capac... | {"states": [512, 511], "expectation_value": -22.417732219027556, "params": [[[-0.0118, -0.0083], [-0.001, 0.1874], [-0.0019, 0.0027], [-0.0023, 0.0026000000000000003], [-0.0034000000000000002, -0.0023], [-0.0037, 0.0024000000000000002], [-0.0004, -0.0028], [-0.0009000000000000001, -0.0031000000000000003], [-1.3321, 0.0... | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(7)) + -0.25 * (Z(1) @ Z(2)) + -1.25 * (Z(1) @ Z(3)) + -2.0 * (Z(1) @ Z(7)) + -1.75 * (Z(1) @ Z(8)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4... | 15 | 10 | 3 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.31586424709363425) q[0];
ry(0.14649021589923866) q[1];
ry(-0.08266499446062149) q[2];
ry(-0.01568347300460293) q[3];
ry(0.02178546412385917) q[4];
ry(0.20047831800115404) q[5];
ry(0.0012441123056826202) q[6];
ry(-0.3037020496863897) q[7];
ry(-1.7463160797713126) 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": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIZIIIIIIZ",
"IIZIIIZIII",
"IZIIIIIIIZ",
"IZIIIIZIII",
"IZZIIIIIII",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IIIIIZIZII",
"IIIIIZZIII",
"IIZIIZIIII",
"IZIIIZIIII",
"IIIIIZIIZI",
"ZIIIIIIZII",
"ZIIIIIIIIZ",
"ZIIIIIIIZI"... | [
-0.5,
-1,
-0.25,
-0.75,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
-1.25,
-2,
-1.75,
-0.25,
-0.5,
-1.75,
-0.5,
-1.25,
-0.25,
2,
-1,
-1,
-1.75,
-2,
-1,
-0.25,
-1.5,
-0.25,
-1,
-0.5,
0,
-0.25,
0,
-2,
-0.75,
0,
1.75,
-0.5,
0.75,
1
] | 0.971481 | [
0.31586424709363425,
0.14649021589923866,
-0.08266499446062149,
-0.01568347300460293,
0.02178546412385917,
0.20047831800115404,
0.0012441123056826202,
-0.3037020496863897,
-1.7463160797713126,
0.6745300162303065,
-0.043463099979714565,
-0.05449375382339431,
-0.055688383899551185,
-0.010637... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 53 |
04943d12be9331cc9245456617bb8845 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "source": 3, "target": 2}, {"capaci... | {"states": [220, 958], "expectation_value": -25.25465899163168, "params": null, "bitstrings": ["1111100100011", "1110001000001"], "total_optimization_steps": 100, "probabilities": [0.07078627321040105, 0.4572531585542735], "optimization_time": 341.72909355163574} | -1.0 * (Z(10) @ Z(3)) + -2.0 * (Z(11) @ Z(3)) + 2.0 * (Z(11) @ Z(10)) + 2.0 * (Z(4) @ Z(5)) + -1.0 * (Z(0) @ Z(5)) + -0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(10)) + -1.0 * (Z(6) @ Z(11)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 1.0 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(10))... | 1 | 13 | 4 | {"smallest_eigenvalues": [-30.5, -30.5, -30.5, -30.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -30.25, "smallest_bitstrings": ["1111000010100", "1110001000001", "1110000010000", "1111001000101"], "largest_eigenvalue": 79.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(2.756448642387936) q[4];
rz(-pi) q[5];
ry(-1.4071951647766399) q[5];
h q[6];
ry(1.5747373492012693) q[6];
cx q[6], q[5];
ry(0.47977392536284186) q[5];
cx q[6], q[5];
ry(-0.018776860890256552) q[5];
cx q[0], q[5];
ry(0.01877686... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nry(-2.4156) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = mea... | [
"IIZIIIIIIZIII",
"IZIIIIIIIZIII",
"IZZIIIIIIIIII",
"IIIIIIIZZIIII",
"IIIIIIIZIIIIZ",
"IIIIIIIIZIIIZ",
"IIIIIIZIIZIII",
"IIZIIIZIIIIII",
"IZIIIIZIIIIII",
"IIIIIIZZIIIII",
"IIIIIIZIZIIII",
"IIIIIIZIIIIIZ",
"IIIIIZIIIZIII",
"IIZIIZIIIIIII",
"IZIIIZIIIIIII",
"IIIIIZIZIIIII",
"IIIIIZIIZII... | [
-1,
-2,
2,
2,
-1,
-0.5,
0.5,
-0.5,
-1,
1,
0.5,
-0.5,
1,
-1,
-2,
2,
1,
-1,
2,
1,
0.5,
-0.5,
0.5,
1,
2,
1,
-1,
1,
2,
1,
-0.5,
0.5,
1,
-0.5,
-1,
-0.25,
-1,
1,
2,
11,
5.5,
-4.125,
4,
8,
4,
8,
0,
-0.75,
-0.375
] | 0.971122 | [
-2.4982175662086945,
-1.2959791973212518,
10.693477959740283,
2.756448642387936,
1.5747373492012693,
-0.9595478507256837,
-0.037553721780513104,
-0.09233073908691143,
0.3924196282534974,
0.01592015931431091,
0.17530178727681012,
-0.09689234899048765,
0.07372477176280937,
0.0220347731740424... | {
"n_parameters": 84,
"n_qubits": 13,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 96 |
c9169fa251f09f6085bc3667dda1197c | 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": [215, 213], "expectation_value": -46.789906747021355, "params": [[[0.5804, 0.3995], [0.6023000000000001, 0.5178], [0.5841000000000001, 0.3972], [0.0712, 0.2497], [0.603, 0.3864], [0.1748, 0.4812], [0.547, 0.48810000000000003], [0.1839, 0.4384], [0.18680000000000002, 0.5930000000000001]], [[0.338, 0.1918], [0... | 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(6) @ Z(8)) + 6.5 * (Z(6) @ Z(7)) + 0.5 * Z(0) + 6.0 * Z(2) + 14.0 * Z(1) + 6.5 * Z(4) + -3.0 * Z(3) + 5.0 * Z(5) + 8.5 * Z(8) + 3.5 * Z(7) + 9.0 * Z(6) | 15 | 9 | 4 | {"smallest_eigenvalues": [-70.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["100101010"], "largest_eigenvalue": 108.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.9641480715294358) q[0];
ry(0.853433854841228) q[1];
ry(0.7273726416632281) q[2];
ry(0.21648697129918404) q[3];
ry(1.2356367085033058) q[4];
ry(0.010484666337130275) q[5];
ry(0.7648327873440676) q[6];
ry(0.18661025874518403) q[7];
ry(-0.07142147201053584) q[8];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZZIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"IZZIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIZIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
0.5,
6,
14,
6.5,
-3,
5,
8.5,
3.5,
9
] | 0.973347 | [
0.9641480715294358,
0.853433854841228,
0.7273726416632281,
0.21648697129918404,
1.2356367085033058,
0.010484666337130275,
0.7648327873440676,
0.18661025874518403,
-0.07142147201053584,
0.044882978750451344,
0.007972872974397515,
0.09347970442137711,
0.031042343788249865,
0.3188486678043058... | {
"n_parameters": 71,
"n_qubits": 9,
"optimal_eigenvalue": -70.5,
"target_ratio": 0.97,
"target_value": -68.385
} | 82 |
3a5e93a6522b0debcced28655340b370 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 7, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 7, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -29.791667954900475, "params": [-0.0006000000000000001, 0.14070000000000002, -0.0035, 0.1461, 0.0038, 0.15510000000000002, 0.0012000000000000001, 0.1648, 0.2029, 0.0018000000000000002, 0.2019, 0.0061, 0.0043, 0.162, -0.0019, 0.1497, 0.0053, 0.14980000000000002, -0.0003000000000... | -1.75 * (Z(0) @ Z(3)) + -0.5 * (Z(8) @ Z(0)) + 2.5 * (Z(2) @ Z(0)) + -1.75 * (Z(1) @ Z(3)) + -2.25 * (Z(1) @ Z(8)) + -2.75 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(8)) + -0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -3.25 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(1)) + -1.75 * (Z(5) @ Z(4)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @... | 7 | 11 | 4 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.75, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 32.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.037999392270183334) q[0];
rz(1.6138554769419997) q[0];
rx(0.19198116915337898) q[1];
rz(1.7827157089336474) q[1];
rx(0.3923632091272242) q[2];
rz(1.451475892954238) q[2];
rx(-0.10297140916700372) q[3];
rz(2.237259732182018) q[3];
rx(0.050696212674097886) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIZIIIIIIIZ",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIZIIIIIIZI",
"IIIIIIZZIII",
"IIZIIIZIIII",
"IIIIIIZIZII",
"IIIIIIZIIZI",
"IIZIIZIIIII",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IIIIZIIZIII",
"IIIIZIIIZII",
"IIIIZIIIIZI",
"IIIIZZIIIII",
"ZIIIIIIZIII",
"ZIIIIIIIIZI",
"ZIIIZIIII... | [
-1.75,
-0.5,
2.5,
-1.75,
-2.25,
-2.75,
-0.25,
-0.5,
-1,
-3.25,
-0.5,
-1.75,
-0.25,
-1.5,
-1,
-0.75,
-1.25,
-1.75,
-2.25,
-0.25,
-0.25,
-0.25,
-1.5,
-0.75,
-1,
-0.5,
-1.75,
0.75,
-0.25,
-2.5,
0.5,
-3.25,
-0.75,
0.25,
3,
-2,
-0.25,
4.5
] | 0.972526 | [
0.03799939227018334,
0.043059150147103584,
0.19198116915337896,
0.21191938213875106,
0.3923632091272242,
-0.11932043384065855,
-0.1029714091670037,
0.6664634053871208,
0.05069621267409789,
0.08326658781513935,
-0.04992826844587948,
0.025011330461926176,
0.11710482336227845,
0.2530621191124... | {
"n_parameters": 120,
"n_qubits": 11,
"optimal_eigenvalue": -30.75,
"target_ratio": 0.97,
"target_value": -29.8275
} | 14 |
5dad688a93671469362a3d3d00961b05 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 3}]} | {"states": [12, 5], "expectation_value": -2.2240722867802383, "params": null, "bitstrings": ["10011", "11010"], "total_optimization_steps": 15, "probabilities": [0.0739903318953996, 0.9005293513110026], "optimization_time": 7.718274116516113} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(4) + -0.75 * Z(3) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.25, "smallest_bitstrings": ["11010", "01110", "10011"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(1.054375204004865) q[0];
ry(1.2513372356561656) q[1];
ry(0.2824769594172304) q[2];
ry(1.4848254273950985) q[3];
ry(1.7704547616171795) q[4];
ry(-0.13250446412763625) q[5];
ry(-0.49590506331342876) q[6];
ry(1.052494121858556) q[7];
ry(0.7429880399328006) q[8];
ry(0.4... | 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[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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZIZ",
"ZIZII",
"IZZII",
"ZZIII",
"ZZZII",
"ZIIZI",
"IIIIZ",
"IIIZI",
"IIZII",
"ZIIII",
"IZIII"
] | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75
] | 0.975061 | [
1.054375204004865,
1.2513372356561656,
0.2824769594172304,
1.4848254273950985,
1.7704547616171795,
-0.13250446412763625,
-0.49590506331342876,
1.052494121858556,
0.7429880399328006,
0.41317392976743855,
2.5434800341621466,
1.571476038864509,
1.6619437044267633,
0.026188563071984666,
1.62... | {
"n_parameters": 45,
"n_qubits": 15,
"optimal_eigenvalue": -8.749999999999972,
"target_ratio": 0.97,
"target_value": -8.487499999999972
} | 53 |
5062663192868049017 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 9, 2, 3], [2, 6], [0, 2, 3, 4, 8], [3, 4, 6, 8, 9], [8, 1], [5, 6], [8, 7]]} | {"states": [373, 501], "expectation_value": -1.447948496383011, "params": [[[-0.0017000000000000001, 0.009000000000000001, 0.0049, 0.006900000000000001], [1.0433000000000001, 0.0029000000000000002, 1.0537, 0.006], [1.6013000000000002, 0.0006000000000000001, 0.003, 0.0068000000000000005], [0.3894, 0.0035, 1.531000000000... | 0.13333333333333333 * (Z(8) @ Z(9)) + 0.08333333333333333 * (Z(2) @ Z(9)) + 0.13333333333333333 * (Z(2) @ Z(8)) + 0.13333333333333333 * (Z(3) @ Z(9)) + 0.18333333333333335 * (Z(3) @ Z(8)) + 0.13333333333333333 * (Z(3) @ Z(2)) + 0.05 * (Z(6) @ Z(9)) + 0.05 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(3)) + 0... | 12 | 10 | 1 | {"smallest_eigenvalues": [-2.6500000000000004, -2.6500000000000004, -2.6500000000000004], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.65, "smallest_bitstrings": ["1101001100", "0101001100", "1000001010"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.18568658661023582) q[0];
rz(-0.4532071862115348) q[0];
ry(0.04136001611436485) q[1];
rz(0.18730864073981085) q[1];
cz q[1], q[0];
ry(2.9227835351688927) q[1];
ry(3.112317918534838) q[2];
rz(-0.6978371575425012) q[2];
ry(0.2744752464374124) q[3];
rz(-0.90633667807... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZZIIIIIIII",
"ZIIIIIIZII",
"IZIIIIIZII",
"ZIIIIIZIII",
"IZIIIIZIII",
"IIIIIIZZII",
"ZIIZIIIIII",
"IZIZIIIIII",
"IIIZIIIZII",
"IIIZIIZIII",
"IZIIIIIIIZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"ZIIIIZIIII",
"IZIIIZIIII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIZIZIIII",
"IIIIIZIIIZ",
"IZIIIIIIZI"... | [
0.13333333333333333,
0.08333333333333333,
0.13333333333333333,
0.13333333333333333,
0.18333333333333335,
0.13333333333333333,
0.05,
0.05,
0.5,
0.05,
0.05,
0.05,
0.05,
0.05,
0.1,
0.05,
0.1,
0.05,
0.05,
0.5,
0.5,
0.5,
0.22499999999999995,
0.32499999999999996,
0.22500000... | 0.970173 | [
-0.18568658661023582,
-0.4532071862115348,
0.04136001611436485,
0.18730864073981085,
3.112317918534838,
-0.6978371575425012,
0.2744752464374124,
-0.9063366780734415,
3.049981443928658,
0.5843387821184393,
0.24604350708843975,
-0.07195782795522929,
0.06527914532388762,
-1.002086458702639,
... | {
"n_parameters": 27,
"n_qubits": 10,
"optimal_eigenvalue": -2.6500000000000004,
"target_ratio": 0.97,
"target_value": -2.5705000000000005
} | 31 |
e61b9b6cad8366f7e670366fe202a3e7 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 4}, {"weight": 11, "source": 0, "target": 3}, {"weight": 20, "source": 1, "target": 3}, {... | {"states": [126, 122], "expectation_value": -66.25470212730103, "params": [1.344, 0.006200000000000001, 3.1617, 0.0067, 3.1618, 0.0078000000000000005, 3.16, 0.0066, 3.1617, 0.006200000000000001, 1.5601, 0.0097, 3.1608, 0.0051, 0.187, 0.0045000000000000005, 0.0002, 0.0044, 0.0098, 0.0036000000000000003, 0.00480000000000... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 17.5 * Z(1) ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 153.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-2.1064438042783817) q[0];
h q[1];
ry(3.00933532207482) q[1];
h q[2];
ry(63.914512083600656) q[2];
rz(-pi) q[3];
ry(-2.0138186233070408) q[3];
cx q[2], q[3];
ry(31.631902076085566) q[3];
cx q[2], q[3];
ry(-31.392809348396653) q[3];
cx q[1], q[3];
ry(31.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17.5,
10,
14,
22,
12.5,
8.5,
12,
1
] | 0.972485 | [
34.330472433163216,
3.00933532207482,
62.27727198687937,
63.914512083600656,
-63.26380415217113,
17.13394339312842,
-62.78561869679331,
6.4092125346744835,
8.995405679010444,
-25.18439210953081,
-12.211734701172722,
-1.494483191794119,
30.42716060399111,
-16.64234087916521,
10.1661517222... | {
"n_parameters": 64,
"n_qubits": 8,
"optimal_eigenvalue": -74.5,
"target_ratio": 0.97,
"target_value": -72.265
} | 67 |
44db6493095286b918fb0c5bac33de1d | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [203, 107], "expectation_value": -37.254546661429075, "params": null, "bitstrings": ["00110100", "10010100"], "total_optimization_steps": 100, "probabilities": [0.057206048320369615, 0.39438522917744046], "optimization_time": 159.06883573532104} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 6.0 * Z(0) + 12.0 * Z(2) + 14.0 * Z(1) + 0.0 * Z(3) + 15... | 1 | 8 | 1 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "smallest_bitstrings": ["10010100"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.1114879293616777) q[0];
ry(0.15685993350026523) q[0];
rz(-1.2753559774581484) q[0];
rz(1.6455463798734922) q[1];
ry(0.12439450381357361) q[1];
rz(-2.0806830828243723) q[1];
rz(1.9810033602527488) q[2];
ry(2.948676107721393) q[2];
rz(-1.039626053423473) q[2];
rz(1.6... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(8.8595) 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[... | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIZIIIZ",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
6,
12,
14,
0,
15.5,
7.5,
11.5,
15
] | 0.972455 | [
0.40466514957797073,
0.2601706792456252,
0.0888412715111685,
0.2573921016905544,
1.8051101402836665,
0.08347576028210325,
0.030504361917943496,
0.08039412607444499,
1.381450409563023,
-0.1699186896737985,
1.1033417399647076,
0.012564086284400422,
0.18792404571706298,
0.07017314689331701,
... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 19 |
8c44c442a25e00dfae4e1647b2faf79f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}]} | {"states": [58, 42], "expectation_value": -0.8191601348918991, "params": [1.8012000000000001, 0.0061, 1.5677, 0.001, 1.8105, 0.006500000000000001, 0.7891, 0.0036000000000000003, 1.8102, 0.0061, 0.33140000000000003, 0.0004, 0.0063, 0.009600000000000001, 0.006500000000000001, 0.0063, 0.01, 0.0058000000000000005], "bitstr... | 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(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3... | 18 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.0, "smallest_bitstrings": ["010011", "100101", "001101", "010101", "001110", "011010", "110001"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022216824968526526) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022216824968526526) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022216824968526526) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.6284369302106981) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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",
"IIIZIZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"IZZIIZ",
"IIZIZI",
"ZZIIII",
"ZIIZII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5
] | 0.720045 | [
0.022216824968526526,
0.6284369302106981,
-1.317266113042237,
0.027624710446691313,
-0.865652482486156
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 144 |
d75363653ef00cde7e482c2c3392dff7 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [10, 11], "expectation_value": -5.313797244294559, "params": [0.045700000000000005, -0.22, -0.0032, 1.2875, 0.0024000000000000002, 1.3257, 0.0026000000000000003, 1.3285, 0.0026000000000000003, 1.2808000000000002, 0.9262, 0.0021000000000000003, 0.0025, 1.3172000000000001, 1.3192000000000002, 0.606200000000000... | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(8) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) ... | 4 | 9 | 3 | {"smallest_eigenvalues": [-5.75, -5.75, -5.75, -5.75, -5.75, -5.75, -5.75, -5.75], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.75, "smallest_bitstrings": ["100000000", "101110010", "101110000", "101000000", "111110000", "111110100", "111110110", "111110010"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.5800016602217045) q[0];
ry(-3.0160182889402423) q[1];
rz(-pi) q[1];
ry(-0.7937295761698439) q[2];
rz(-pi) q[2];
h q[3];
ry(0.7483050100221447) q[3];
h q[4];
cx q[4], q[3];
ry(-0.7483050100221447) q[3];
cx q[4], q[3];
ry(0.5506897500678624) q[4];
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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZI",
"IIZIIIIZI",
"IIIIZZIII",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIZIZIII",
"IIIZZIIII",
"ZIIZIIIII",
"IZIIIZIII",
"IZIIIIZII",
"IZIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIZIIIIII",
"IIIIZIIII",
"... | [
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
0.25,
-1,
0,
-1.25,
-0.25,
1.5,
1.25
] | 0.97588 | [
1.635354928027199,
1.6535551550449947,
1.4966100200442893,
1.2823506458400487,
-1.160003320443409,
1.2213443738772067,
1.3259987864913463,
-0.7536541197185559,
1.1013795001357247,
0.24812610013146263,
0.3257426326105941,
-0.5864937370001171,
-0.3811460272498714,
-0.024507037660432593,
0.... | {
"n_parameters": 38,
"n_qubits": 9,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 2 |
1d36f605f450bd24c53bed4c61ab6422 | 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": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6... | {"states": [51, 35], "expectation_value": -0.3820907575925932, "params": [[-0.054700000000000006, -0.0629], [0.07150000000000001, 0.0626]], "bitstrings": ["1001100", "1011100"], "total_optimization_steps": 10, "probabilities": [0.01084276913650007, 0.011059858427481887], "optimization_time": 2.8135557174682617} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(1) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -1.0 * Z(3) + -0.25 * Z(0) + -0.75 * Z(4) + 0.25 * Z(2) + 0.25 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["1011100", "1001100"], "largest_eigenvalue": 7.0} | 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[0];
rz(-0.44173747837386507) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(-0.44173747837386507) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.005603409297500889) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(0.005603409297500889) q[2];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"IIZIZII",
"IIIIZZI",
"ZIIIIIZ",
"ZIIIIZI",
"IZIZIII",
"IZZIIII",
"IZIIIZI",
"ZZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IIIIIZI",
"ZIIIIII",
"IZIIIII"
] | [
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-1,
-0.25,
-0.75,
0.25,
0.25,
0.25,
1.25
] | 0.970536 | [
-0.44173747837386507,
0.005603409297500889,
0.05836178307980425,
-1.201402489306377,
-0.9317048549953064,
0.7320633774444789,
0.772973794919639,
-1.6652911638748984,
-0.7518283058778058,
0.06520245980832098,
0.12228192436712314,
-0.10637680738364871,
-0.2779417698846335,
1.5718265483768925... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 91 |
9f43fe75b2280c840369a5d99b502e49 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [815, 811], "expectation_value": -1.4333358208861031, "params": [[[1.1023, 0.0001], [1.1032, -0.0001], [0.258, -0.4277], [0.2555, 0.4283], [1.0962, -0.001], [0.4914, -0.29460000000000003], [1.1052, -0.0001], [0.7848, -0.14450000000000002], [1.0969, -0.0009000000000000001], [1.0954000000000002, 0.000900000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(1) @ Z(7)) + 0.25 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(1) @ Z(7)) ... | 1 | 10 | 2 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.125, "smallest_bitstrings": ["1001010001", "0011010010", "0011010001", "0011001100", "0010111000", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.13798124840612863) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.13798124840612863) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.13798124840612863) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.13798124840612863) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIZZIII",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIZZIIIII",
"IIIZZIIIIZ",
"IIIIZIIIZI",
"IIZIIIIIZI",
"IIZIZIIIII",
"IIZIZIIIZI",
"IIIZIIZIII",
"IZIIIIZIII",
"IZIZIIIIII",
"IZIZIIZIII",
"ZIIIIIIZII",
"IIZIIZIIII",
"IZIIIZIIII"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0,
0,
-0.25,
-0.25,
-0.125,
0,
0,
0.125,
0.125,
-... | 0.833582 | [
0.13798124840612863,
1.1427837653768327,
-1.8894360710812084,
1.440063164765446,
1.845482091247767,
-1.5875174889768033,
3.8510997105473463,
-1.0746530285980647,
2.8299754779374093,
0.45330398543812134
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 298 |
6af884d627ee37a45c35f4c485ec07d5 | 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": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [61, 1], "expectation_value": -0.4877224813889419, "params": [[-0.053700000000000005, -0.0738, -0.066], [0.055200000000000006, 0.0695, 0.06330000000000001]], "bitstrings": ["1000010", "1111110"], "total_optimization_steps": 10, "probabilities": [0.013394377861685888, 0.013742888555068614], "optimization_time... | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(5)) + -1.25 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * Z(5) + -0.25 * Z(0) + 0.5 * Z(6) + 0.25 * Z(3) + -0.25 * Z(1) + -0.25 * Z(4) + 0.5 * Z(2) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1101010", "1111110", "1101110", "1000010"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.2129396642339767) q[0];
cx q[5], q[0];
cx q[5], q[3];
rz(-0.2129396642339767) q[3];
cx q[5], q[3];
cx q[3], q[1];
rz(-1.5032141761943887) q[1];
cx q[3], q[1];
rz(-0.2129396642339767) q[1];
rx(-0.873748... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"ZIIIIIZ",
"IZIZIII",
"IIIZIZI",
"IIZZIII",
"IIZIZII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IIIIZII"
] | [
-0.25,
0.5,
-0.25,
-1.25,
-0.25,
-0.5,
-0.5,
-0.25,
0.5,
0.25,
-0.25,
-0.25,
0.5
] | 0.656065 | [
-0.2129396642339767,
0.823446126675711,
-1.5032141761943887,
-1.1053657754057873,
-0.24166154592351555,
-0.8737487988534467
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 173 |
cccde4707d298ae394e20cc161e11586 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "s... | {"states": [43, 9], "expectation_value": -6.005414055225549, "params": null, "bitstrings": ["111010100", "111110110"], "total_optimization_steps": 41, "probabilities": [0.2593643855933671, 0.3078667096801273], "optimization_time": 65.85873866081238} | -0.5 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -2.0 * (Z(1) @ Z(7)) + -1.0 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["111110110"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.05421342206995221) q[0];
rz(2.472793468584289) q[0];
rx(-0.09375759374281041) q[1];
rz(2.917477635073352) q[1];
rx(0.25161845486511375) q[2];
rz(1.5974753074152792) q[2];
rx(0.005844577706896247) q[3];
rz(2.6587657285286665) q[3];
rx(0.01727117515975269) q[4];
rz(... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IZIIIZIII",
"IZIIIIIIZ",
"IZIIZIIII",
"IZIIIIIZI",
"IIZIZIIII",
"IZZIIIIII",
"IIZIIIIZI",
"IIIIZIZII",
"IZIIIIZII",
"IIIIIIZZI",
"ZIIIIIIIZ",
"ZIIZIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"ZIIIIIZII",
"IIIIIZIII",
"IIIIIIIIZ",
"... | [
-0.5,
-0.75,
-0.25,
-1,
-1,
-0.5,
-0.75,
-2,
-1,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
2.25,
-0.5,
-0.25,
-0.25,
-0.25,
0.5,
-0.25,
-1,
1.25,
-2.75,
0.25,
0.5,
0.5,
1
] | 0.970013 | [
-0.05421342206995221,
0.9019971417893926,
-0.0937575937428104,
1.3466813082784552,
0.25161845486511375,
0.02667898062038268,
0.005844577706896246,
1.0879694017337702,
0.01727117515975269,
1.0719536248129202,
-0.9736904409911167,
0.037313040150841414,
1.1827146526257986,
1.164820999137664,
... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -14.25,
"target_ratio": 0.97,
"target_value": -13.8225
} | 3 |
73162755fd3fb63ec250bb0297031b85 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [7, 13], "expectation_value": -0.0712929207781333, "params": [[0.0541], [-0.044500000000000005]], "bitstrings": ["111000", "110010"], "total_optimization_steps": 10, "probabilities": [0.016386529217665112, 0.016386529217665112], "optimization_time": 1.0599782466888428} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(5) + -1.0 * Z(1) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["110010", "111000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.22579406431789806) q[0];
h q[1];
ry(-0.22579406431789806) q[1];
h q[2];
ry(-1.3560969488988168) q[2];
h q[3];
cx q[3], q[1];
ry(0.22579406431789806) q[1];
cx q[3], q[1];
ry(-0.8255410643066695) q[1];
ry(1.359318218961168) q[3];
ry(-1.0688172905350661) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(x0) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"ZIIIIZ",
"IIIZZI",
"IZIIZI",
"IIZIZI",
"IIIZII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
0,
-1,
0
] | 0.972602 | [
-1.3560969488988168,
-0.9253424096927959,
-0.4515881286357961,
1.060970966441094,
-0.6027635840281764,
0.5966945050401478,
0.4264757054800475,
-0.4240802228934878,
-0.4455549605569864,
0.8467267468659311,
1.759953496058666,
-0.2334806334765544,
-0.13577340237349522,
0.06205456582507352,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 11 |
f3708375ba6fa9c71edbcd23f9c9eca4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 3}]} | {"states": [8, 7], "expectation_value": -0.05279277238865117, "params": [[0.07060000000000001], [-0.0543]], "bitstrings": ["0111", "1000"], "total_optimization_steps": 10, "probabilities": [0.06530630083933799, 0.06633095904168984], "optimization_time": 0.9111754894256592} | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + 0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.0 * Z(1) + -0.25 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["1000"], "largest_eigenvalue": 2.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
ry(-1.010121423472979) q[0];
h q[1];
ry(0.7853982035792615) q[1];
h q[2];
ry(1.5707956806528132) q[2];
h q[3];
cx q[3], q[1];
ry(-0.7853982035792615) q[1];
cx q[3], q[1];
ry(0.6154796274137422) q[3];
cx q[1], q[3];
ry(-0.6154796274137422) q[3];
cx q[1], q[3];
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;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
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], q[3];
rz(x0) ... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IZIZ",
"IZZI",
"ZZII",
"ZIIZ",
"ZIZI",
"IZII",
"IIIZ",
"IIZI",
"ZIII"
] | [
-0.5,
-0.5,
-0.5,
0.75,
-0.5,
0.5,
-0.25,
0,
-0.25
] | 0.888889 | [
1.5707956806528132,
1.570796407158523,
1.2309592548274844,
-2.020242846945958,
0.5024058852687302,
-1.1213498565529063,
1.0683905653844339,
6.544803761639136e-7,
-0.07539900701000271,
-0.09494170503749731,
-1.3610082431868337e-7,
0.0949418225997358,
0.07539895788259901,
-4.123984436099256e... | {
"n_parameters": 15,
"n_qubits": 4,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 287 |
ee95eea0157613eba1229e90a73f1e5f | 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": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "source": ... | {"states": [2048, 2047], "expectation_value": -16.74727706017298, "params": [[[0.0009000000000000001, 0.0025], [0.0031000000000000003, 0.0024000000000000002], [0.005200000000000001, 0.0026000000000000003], [0.0801, 0.0025], [0.0007, 0.0025], [0.0109, -0.0029000000000000002], [0.0189, -0.0026000000000000003], [-0.0014, ... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(11) @ Z(1)) + -0.75 * (Z(11) @ Z(0)) + 2.25 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(11)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(8)) + -1.0 * (Z(7) @ Z(5)) + -1.25 * (Z(10) @ Z(1)) + -0.5 * (Z(... | 15 | 12 | 3 | {"smallest_eigenvalues": [-17.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.25, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 15.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.017660264150487166) q[0];
ry(-0.03473932266185376) q[1];
ry(0.1567012892349667) q[2];
ry(0.03172792495169544) q[3];
ry(-0.13743081986786357) q[4];
ry(-0.12839447676063176) q[5];
ry(-0.014556525242648437) q[6];
ry(-0.03609003625359263) q[7];
ry(-0.0649118754627029... | 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": []} | [
"IIIIIIIIIIZZ",
"IIIZIIIIIIIZ",
"ZIIIIIIIIIZI",
"ZIIIIIIIIIIZ",
"IIIIIIIIZIIZ",
"ZIIIIIIIZIII",
"IIIIIIZIIIZI",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIZIIIIIZI",
"IIIZZIIIIIII",
"IIIIZIZIIIII",
"IZIIIIIIIIZI",
"ZZIIIIIIIIII",
"IZIIIIIIZIII",
"IIIZIIIZIIII",
"ZIIIIIIZIIII",
"IIIIIIIZZ... | [
-0.75,
-0.5,
-0.25,
-0.75,
2.25,
-0.25,
-0.75,
-0.5,
-0.5,
-0.5,
-0.25,
-1,
-1.25,
-0.5,
-0.75,
-0.25,
-0.5,
-0.75,
-0.75,
-1.5,
-0.5,
-1,
-0.75,
-0.5,
-0.25,
-0.75,
-0.5,
-0.75,
-0.75,
-0.5,
0,
-0.25,
0,
-0.25,
0,
-1.5,
-1.25,
0.25,
0.25,
... | 0.970758 | [
-0.017660264150487166,
-0.03473932266185376,
0.1567012892349667,
0.03172792495169544,
-0.13743081986786357,
-0.12839447676063176,
-0.014556525242648437,
-0.03609003625359263,
-0.06491187546270298,
0.14380770469654316,
-0.031328476183955206,
2.1324061987738503,
0.005194593799419052,
-0.0186... | {
"n_parameters": 38,
"n_qubits": 12,
"optimal_eigenvalue": -17.25,
"target_ratio": 0.97,
"target_value": -16.732499999999998
} | 60 |
d5141e120f90f429ecf4d4dba0d0fe25 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 6}, {"weight": 14, "source": 0, "target": 2}, {"weight": 20, "source": 1, "ta... | {"states": [500, 244], "expectation_value": -65.54684372121625, "params": [1.5622, 0.0047, 3.1393, 0.009000000000000001, 3.14, 0.0051, 3.14, 0.0078000000000000005, 3.1389, 0.0041, 1.1816, 0.00030000000000000003, 3.1384000000000003, 0.0037, -0.0064, 0.0005, 0.7059000000000001, 0.0002, 0.0023, 0.0076, 0.0094, 0.007500000... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(6)) + 16.0 * Z(1) + 14.0 * Z(0) + 13.5 *... | 18 | 9 | 1 | {"smallest_eigenvalues": [-73.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 155.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.0357441524412547) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.0357441524412547) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0357441524412547) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.0357441524412547) 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": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZZIIIII",
"IZIIZIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
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,
16,
14,
13.5,
19,
11.5,
9,
9.5,
0.5,
4
] | 0.970911 | [
-0.0357441524412547,
-1.3243738863478043,
0.20067037682180963,
-1.4627485553969521,
-1.3659985365122655,
-1.1931886195985468,
0.38743448584587753,
-1.2966974164736471,
1.2801504036576643,
0.9174965296837271,
0.749051589337997,
0.00805940144664026,
-0.3813827101871313,
1.0035341088991097,
... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -73.5,
"target_ratio": 0.97,
"target_value": -71.295
} | 88 |
1a4362188b6951d8767035d8d38385f1 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [343, 327], "expectation_value": -2.800092218908629, "params": [2.7786, 0.005200000000000001, 0.0018000000000000002, 0.0028, 2.7992000000000004, 0.0097, 0.0021000000000000003, 0.0008, 1.5442, 0.006500000000000001, 0.0032, 0.0008, 2.7733000000000003, 0.0006000000000000001, 1.9586000000000001, 0.007, 2.8028, 0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(4) @ Z(0) @ Z(6)) + -0.125 * (Z(4) @ Z(0) ... | 16 | 9 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.375, "smallest_bitstrings": ["010110100", "010101010", "001101010", "010110001", "010101100", "100101010", "110101000", "010111000"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.12422553524644124) q[0];
cx q[3], q[0];
h q[4];
h q[5];
cx q[3], q[5];
rz(-0.12422553524644124) q[5];
cx q[3], q[5];
cx q[0], q[5];
cx q[3], q[2];
rz(-0.12422553524644124) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(-0.124... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIZZIIII",
"IIIIZIIIZ",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IIZIZIIII",
"IZIIZIIII",
"IZZIIIIII",
"IIZIZIIIZ",
"IZIIZIIIZ",
"IZZIIIIIZ",
"IZZIZIIII",
"IZZIZIIIZ",
"IIZZIIIII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZIZZIIIII",
"IZIIIIIZI",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
-0.25,
0,
-0.75,
-0.125,
-0.25,
0.125,
-0.125,
0
] | 0.971459 | [
-0.12422553524644124,
1.0955689621565339,
1.0287718033480338,
-1.036892713484576,
-0.5552627842854686,
0.8878467301251858,
0.2644854273734193,
0.008214563098826413,
0.4014394529078914,
-0.32039970371211435,
0.2044707146182576,
-0.402957759830861,
0.4611208468758937,
0.37871111682101216,
... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 44 |
-2518429121079408534 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 3, 4, 5], [2, 4], [8, 3, 4, 7], [8, 1, 5, 7], [2, 5], [8, 2, 3], [8, 1, 3, 7], [0, 1, 3, 8], [8, 1, 4], [0, 3, 5], [0, 6], [8, 4, 5], [8, 2, 6, 7], [8, 5, 6, 7], [0, 2], [3, 4, 5, 7]]} | {"states": [229, 283], "expectation_value": -0.05160862867318023, "params": [[-0.030000000000000002], [0.042100000000000005]], "bitstrings": ["100011010", "011100100"], "total_optimization_steps": 10, "probabilities": [0.002014383475240217, 0.002022818811222772], "optimization_time": 4.460659980773926} | 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.41666666666666663 * (Z(8) @ Z(3)) + 0.41666666666666663... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.083333333333335, "smallest_bitstrings": ["011100100"], "largest_eigenvalue": 13.999999999999998} | 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[1];
rz(-0.18096470229440403) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(-0.18096470229440403) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(-0.18096470229440403) q[4];
cx q[1], q[4];
h q[5];
cx q[3], q[5];
rz(0.01566857700575779) ... | 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": []} | [
"IIIIIZIZI",
"IIIIZZIII",
"IIIIZIIZI",
"IIIZIZIII",
"IIIZIIIZI",
"IIIZZIIII",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIZII",
"ZIIIIZIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIIZIIIII",
"ZIIIIIZII",
"IZIIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZIZIIIII",
"IZIIIIZII",
"ZZIIIIIII",
"IIIIIZIIZ",
"... | [
0.25,
0.25,
0.25,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.5,
0.41666666666666663,
0.41666666666666663,
0.41666666666666663,
0.3333333333333333,
0.25,
0.25,
0.16666666666666666,
0.16666666666666666,
0.25,
0.08333333333333333,
0.41... | 0.630733 | [
-0.18096470229440403,
0.01566857700575779,
-0.06419819846929137,
-0.6399155096508706,
-0.06280702818987573,
0.11591298795045343,
-1.4370280179280657,
-1.274119333439456,
0.19077403407823113,
-1.5024944336283252,
0.38683111047592705,
-1.5317898812367965,
1.0229574453758008,
1.06121051167827... | {
"n_parameters": 14,
"n_qubits": 9,
"optimal_eigenvalue": -4.333333333333334,
"target_ratio": 0.97,
"target_value": -4.203333333333334
} | 449 |
f736cdcdd3e9fab7057c0068d5117a32 | 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": 9, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 6}, {"weight": 20, "source": 1, "tar... | {"states": [461, 244], "expectation_value": -31.943007162855732, "params": null, "bitstrings": ["000110010", "100001011"], "total_optimization_steps": 100, "probabilities": [0.04759182583258912, 0.11524234187856296], "optimization_time": 197.67222261428833} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 16.0 * Z(1) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 161.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-2.3305793817029294) q[0];
rz(-pi) q[0];
ry(-1.2125699780875014) q[1];
rz(-pi) q[1];
ry(-1.5549335664366195) q[2];
rz(-pi) q[2];
ry(-2.53423986867924) q[3];
rz(-pi) q[3];
rz(-pi) q[4];
ry(-2.5661915813676774) q[4];
h q[5];
ry(0.6647761924313366) q[5];
cx q[5], q[0];
... | 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(0.1246) 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] = m... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIZIII",
"IIZZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
16,
13.5,
13,
19,
17,
11.5,
12,
-3,
-1
] | 0.977128 | [
0.7693130675599309,
21.024634404472,
-25.654894776789906,
6.366464348750739,
0.6647761924313366,
3.0606717175331437,
64.18486109846963,
3.6680103648570657,
63.22011402044469,
20.831575708628794,
6.52012879930155,
-19.17288881744406,
6.194552820481274,
-12.238516215630844,
-18.71943957014... | {
"n_parameters": 81,
"n_qubits": 9,
"optimal_eigenvalue": -83,
"target_ratio": 0.97,
"target_value": -80.50999999999999
} | 214 |
118037051d4e064ed30ce81580caf956 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [1, 3], "expectation_value": -5.832834454525358, "params": [-0.0023, -0.12840000000000001, 0.0007, -0.1346, -0.0025, -0.2215, -0.0034000000000000002, -0.22080000000000002, -0.0016, -0.22740000000000002, -0.007200000000000001, -0.21830000000000002, -0.0044, -0.2049, -0.0021000000000000003, -0.2178000000000000... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + 1.0 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(7) @... | 5 | 9 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["111111100"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.35423059686369135) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(-0.35423059686369135) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], q[2];
rz(-0.4605338850426425) q[2];
cx q[1], q[2];
cx q[1], q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIIIIIZZI",
"IIIIZIIZI",
"IIZIZIIII",
"IIIZIIIZI",
"IIZZIIIII",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIZIII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIIIIZIII",
"... | [
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
1,
-0.25,
-0.5,
0.5,
-0.25,
-0.25,
-0.5,
-0.5,
0,
0.25,
0.25,
0.5
] | 0.636679 | [
-0.35423059686369135,
-0.4605338850426425,
0.5282199439181262,
0.4658687987128326,
0.08870843927991051,
0.46315182564164276,
-1.2916398330214331,
-0.4799638239930953,
-0.8971536052342277,
1.250974588504574,
0.7069071801825778,
0.3413040230787353,
-0.688751698856056
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 285 |
1986855345536807026 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1], [4, 6, 7], [4, 5], [2, 3, 6]]} | {"states": [103, 167], "expectation_value": -0.5093441095295477, "params": [[0.3398], [-0.338]], "bitstrings": ["10011000", "01011000"], "total_optimization_steps": 40, "probabilities": [0.009574290835007717, 0.009574290835007717], "optimization_time": 1.7693443298339844} | 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.3333333333333333 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.6666666666666667, -1.6666666666666667, -1.6666666666666667, -1.6666666666666667, -1.6666666666666667, -1.6666666666666667], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.6666666666666663, "smallest_bitstrings": ["10011000", "01011000", "01101000", "10000110", "01000110", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.526682685328997) q[0];
cx q[1], q[0];
rz(-0.05790721933472032) q[0];
rx(-0.8087929814045058) q[0];
rz(-0.05790721933472032) q[1];
rx(-0.8087929814045058) q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[4];
rz(0.31718258662743... | 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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[6], q[4];
rz(x1) q[4];
cx q[6], q[4];
cx q[6], q... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IZIZIIII",
"ZZIIIIII",
"ZIIZIIII",
"IIZZIIII",
"IZIIIZII",
"IZIIZIII",
"IIIIZZII",
"IIIIIIZI",
"IIIIIIIZ",
"IZIIIIII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIIZII",
"IIIIZIII"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0,
0,
0.3333333333333333,
0.16666666666666663,
0.16666666666666666,
0,
0.16666666666666666,
0.16666666666666666
] | 0.803967 | [
1.526682685328997,
0.3171825866274309,
-0.057907219334720164,
1.0923582977184763,
-0.8087929814045057
] | {
"n_parameters": 5,
"n_qubits": 8,
"optimal_eigenvalue": -1.6666666666666667,
"target_ratio": 0.97,
"target_value": -1.6166666666666667
} | 122 |
0c945e13d24e3db70f80084c9fd9fc0e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 5, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 10}, {"capacity": 2, "source": 1, "target"... | {"states": [1024, 1023], "expectation_value": -21.753938683147336, "params": [[[0.0036000000000000003, 0.0083], [0.002, -0.0029000000000000002], [0.006900000000000001, 0.0016], [0.0064, 0.0018000000000000002], [0.0055000000000000005, 0.0019], [0.0132, 0.0022], [0.0026000000000000003, 0.0021000000000000003], [0.0049, 0.... | -1.25 * (Z(0) @ Z(8)) + 1.5 * (Z(2) @ Z(0)) + -0.5 * (Z(1) @ Z(8)) + -0.25 * (Z(1) @ Z(2)) + -1.25 * (Z(3) @ Z(8)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(7) @ Z(2)) + -1.5 * (Z(7) @ Z(1)) + -2.25 * (Z(7) @ Z(3)) + -1.5 * (Z(4) @ Z(7)) + -1.25 * (Z(9) @ Z(8)) + -1.75 * (Z(9) @ Z(4)) + -0.5 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z... | 15 | 11 | 2 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 25.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.05800350450624613) q[0];
ry(-0.02305215954836166) q[1];
ry(-0.12964194003316437) q[2];
ry(0.06582845108981357) q[3];
ry(0.31237561445939505) q[4];
ry(0.08580952229068387) q[5];
ry(-0.08193161066323362) q[6];
ry(-0.059186288965500586) q[7];
ry(0.06582845108981357) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIZ",
"IIIIIIIIZIZ",
"IIZIIIIIIZI",
"IIIIIIIIZZI",
"IIZIIIIZIII",
"IIIIIIIZIZI",
"IIIZIIIIZII",
"IIIZIIIIIZI",
"IIIZIIIZIII",
"IIIZIIZIIII",
"IZZIIIIIIII",
"IZIIIIZIIII",
"IIIZIZIIIII",
"IIIIIZZIIII",
"IIZIZIIIIII",
"IIIIZIIIIZI",
"IIIZZIIIIII",
"IIIIZZIIIII",
"ZIZIIIIII... | [
-1.25,
1.5,
-0.5,
-0.25,
-1.25,
-1.5,
-1.5,
-1.5,
-2.25,
-1.5,
-1.25,
-1.75,
-0.5,
-1,
-1,
-1.25,
-1,
-0.25,
-1,
-0.5,
-1.5,
-0.5,
0.75,
-0.25,
-0.25,
-3.5,
0.5,
3.75,
-0.25,
-2.5,
0.75,
-1,
2
] | 0.971585 | [
0.05800350450624613,
-0.02305215954836166,
-0.12964194003316437,
0.06582845108981357,
0.31237561445939505,
0.08580952229068387,
-0.08193161066323362,
-0.059186288965500586,
-0.3766768405497867,
-0.3668535191496115,
0.5052629304435193,
0.08179046356179157,
0.023734033329846856,
0.0227124764... | {
"n_parameters": 77,
"n_qubits": 11,
"optimal_eigenvalue": -22.5,
"target_ratio": 0.97,
"target_value": -21.825
} | 55 |
cee21d2c524e6fc138e70d6d9e27345e | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 6, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 2}]} | {"states": [167, 239], "expectation_value": -6.6666521997982375, "params": [[-0.0848, -0.012100000000000001], [0.1653, 0.1563]], "bitstrings": ["101011000", "100010000"], "total_optimization_steps": 20, "probabilities": [0.006770639327727966, 0.006857024759587798], "optimization_time": 10.311531782150269} | 2.0 * (Z(1) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(1)) + 1.0 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 1.0 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["100010000"], "largest_eigenvalue": 55.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.08561040186494705) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.08561040186494705) q[3];
cx q[2], q[3];
cx q[1], q[3];
cx q[2], q[0];
rz(-0.13032020170893938) q[0];
cx q[2], q[0];
rz(-0.13032020170893938) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IZIIIIZII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIIIIIZ",
"ZIIIIIZII",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIIZIIIZ",
"IZIIZIIII",
"ZIIIZIIII",
"... | [
2,
2,
1,
1,
0.5,
0.5,
1,
0.5,
0.5,
0.5,
1,
0.5,
0.5,
0.5,
1,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-2,
-1,
-1,
-1,
-1,
-1,
1,
-3,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
1.5,
3,
5,
2.5,
2.5,
0,
1.5,
1.5,
-0.5,
-1,
-1.5
] | 0.69852 | [
-0.08561040186494705,
-0.13032020170893938,
-0.09293795236063519,
-0.1836712523285487,
0.1609684499092548,
-0.012457635001121998,
-0.0033797729801731662,
0.12930263904239359,
-0.05240497445492781,
-1.5648064933444994,
-1.5025379725146595,
-1.0821352790424412,
1.4484250023356933,
0.98938625... | {
"n_parameters": 14,
"n_qubits": 9,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 296 |
cde6b48ed870286595c1455af7aff8bd | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}, {"source": 2, "target": 3}]} | {"states": [1907, 1909], "expectation_value": -1.7707999500845102, "params": [[0.1766], [-0.17800000000000002]], "bitstrings": ["100010001100", "100010001010"], "total_optimization_steps": 20, "probabilities": [0.000658178646765441, 0.000658178646765441], "optimization_time": 4.911853075027466} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["100001010001", "010001100010", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIZIIIIII",
"IZIIZIIIIIII",
"IZZIIIIII... | [
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,
0.5,
0.25,
0.5,
0.5,
0.75,
0.75,
0.75,
1.25,
1.25,
1.25,
0.75,
0.75,
0.75,
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 |
-7745204400287325471 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 6], [2, 3], [3, 6], [4, 6], [2, 4], [4, 5], [6, 7], [5, 6], [1, 4], [0, 4]]} | {"states": [245, 93], "expectation_value": -2.5133508072559176, "params": null, "bitstrings": ["00001010", "10100010"], "total_optimization_steps": 72, "probabilities": [0.07379727282748279, 0.6107957268814651], "optimization_time": 94.76044583320618} | 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(7) + 0.0 * Z(0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -2.0, "smallest_bitstrings": ["11110101", "00011101", "00011010", "00011001", "11100110", "11100010", "11100101", "10100110", "11010101", "00101010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[1];
rz(0.6341769019137536) q[1];
cx q[6], q[1];
cx q[6], q[3];
rz(0.6341769019137536) q[3];
cx q[6], q[3];
cx q[3], q[2];
rz(0.6341769019137536) q[2];
cx q[3], q[2];
rz(-2.0360142904962686e-08) q[3];
rx(... | 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[4], 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] = me... | [
"IZIIIIZI",
"IZIIZIII",
"IIIIZZII",
"IZIZIIII",
"IIIZIIZI",
"IIIZIZII",
"IZZIIIII",
"IIZZIIII",
"ZZIIIIII",
"IIIZIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIIIZ"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.552465 | [
0.6341769019137536,
-2.0360142971868717e-8,
-0.7239664079906036
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 92 |
637debe169b0146f0865e4dcdbbf5c98 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"sour... | {"states": [250, 186], "expectation_value": -4.572830539954299, "params": [-0.008, -0.0106, 0.4076, 0.4011, 0.3894, 0.3916, 0.3997, 0.39790000000000003, 0.3965, 0.3926, 0.4038, 0.4022, 0.0024000000000000002, -0.0023, 0.4082, 0.39980000000000004, -0.0176, -0.0184, -0.014100000000000001, -0.0143, 0.4015, 0.40080000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(7) @ Z(8)) + -0.5 * Z(1) + -2.0 * Z(0) + -1.0 *... | 13 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["101000101", "100010101"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-0.5625968049484844) q[0];
ry(0.04258918374013726) q[0];
rz(0.9405878751254786) q[0];
rz(-2.346672760759583) q[1];
ry(3.043138564807055) q[1];
rz(1.0397626947774734) q[1];
rz(1.4114082158694234) q[2];
ry(2.614540850676172) q[2];
rz(-1.3159286077631476) q[2];
rz(0.683... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIZIZII",
"ZIIIIIZII",
"IIZIIZIII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIZII",
"IIIIIZIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2,
-1,
0,
-1.5,
-2.5,
-0.5,
-0.5,
0
] | 0.973023 | [
-0.0208688123171194,
0.12770430157267337,
0.9320498282169836,
0.028851739345060287,
0.5795188111219437,
-0.31509134167954356,
0.6781955755329079,
-0.14064732011710884,
-0.04774619837860228,
-0.25675645416889636,
0.7135599958471233,
-0.06285365159116792,
0.012079107113558862,
0.025677435270... | {
"n_parameters": 58,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 16 |
cde6b48ed870286595c1455af7aff8bd | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}, {"source": 2, "target": 3}]} | {"states": [3499, 1907], "expectation_value": -3.2563974927742962, "params": [[-0.1553, -0.1474], [0.16790000000000002, 0.1628]], "bitstrings": ["001001010100", "100010001100"], "total_optimization_steps": 20, "probabilities": [0.0016990970282420846, 0.0016990970282420848], "optimization_time": 6.406085014343262} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 2 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["100100010100", "100100010001", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h ... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIZIIIIII",
"IZIIZIIIIIII",
"IZZIIIIII... | [
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,
0.5,
0.25,
0.5,
0.5,
0.75,
0.75,
0.75,
1.25,
1.25,
1.25,
0.75,
0.75,
0.75,
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 |
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