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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1757333306802728554 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 6, 7], [3, 4], [0, 1, 7], [1, 2, 4, 6], [3, 5], [4, 5], [0, 3], [1, 5], [1, 2, 6, 7], [2, 3, 7]]} | {"states": [173, 91], "expectation_value": -1.117810441413856, "params": [[0.3143], [-0.31820000000000004]], "bitstrings": ["01010010", "10100100"], "total_optimization_steps": 40, "probabilities": [0.01320421567631361, 0.013301358180330423], "optimization_time": 2.776038885116577} | 0.16666666666666666 * (Z(5) @ Z(6)) + 0.25 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.08333333333333333 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.9166666666666665, "smallest_bitstrings": ["10100100"], "largest_eigenvalue": 7.500000000000003} | 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[5];
rz(0.13507786731311924) q[5];
cx q[6], q[5];
h q[7];
cx q[6], q[7];
rz(0.19166538620491186) q[7];
cx q[6], q[7];
cx q[5], q[7];
cx q[6], q[4];
rz(-0.10626477047729217) q[4];
cx q[6], q[4];
cx q[6], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[5];
rz(x0) q[5];
cx q[6],... | null | {"circuits": [], "gradients": []} | [
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIZIZIII",
"ZIIIZIII",
"IZIZIIII",
"IIZZIIII",
"IIIZZIII",
"ZIIIIIIZ",
"IIIIZIIZ",
"IZIIIIZI",
"IIZIIIZI",
"ZIIIIIZI",
"IIIZIIZI",
"IIIIIIZZ",
"IZIIIZII",
"ZIIIIZII",
"IIIIZZII",
"IIIZIZII",
"IIIIIZZI",
"IZIIIIII",
"IIZIIIII",
"ZIIIIII... | [
0.16666666666666666,
0.25,
0.16666666666666666,
0.5,
0.16666666666666666,
0.08333333333333333,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.25,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.25,
0.16666666666666666,
0.08333333333333333,
0.16... | 0.53442 | [
0.13507786731311924,
0.19166538620491186,
0.6386409553628414,
-0.10626477047729217,
0.7036851460832754,
1.308641935902101,
-0.19942299083124135,
-0.7617750862670511
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -3.0000000000000004,
"target_ratio": 0.97,
"target_value": -2.91
} | 181 |
ddcd97e6264d17abe214a40d21cdb7fd | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "... | {"states": [0, 4064], "expectation_value": -44.64602345978596, "params": [[[-0.0024000000000000002, 0.0027], [0.0025, 0.0048000000000000004], [0.0024000000000000002, 0.0097], [0.0022, 0.0004], [0.0025, 0.0046], [0.0024000000000000002, 0.0006000000000000001], [1.5956000000000001, 0.0086], [-0.0019, 0.0038], [0.002, 0.00... | -3.5 * (Z(0) @ Z(1)) + -3.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + 1.5 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(0)) + -3.5 * (Z(3) @ Z(2)) + 1.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(2)) + -3.0 * (Z(4) @ Z(3)) + -3.0 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + 1.5 * (Z(5) @ Z(2)) + -3.5 * (Z(5) @ Z(3)) + 1.... | 2 | 12 | 1 | {"smallest_eigenvalues": [-48.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -47.5, "smallest_bitstrings": ["000000011111"], "largest_eigenvalue": 36.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.0857130289915835) q[0];
rz(0.3471928830848995) q[0];
rx(0.021604413547598213) q[1];
rz(-0.0815156860614232) q[1];
rx(0.031765751125932634) q[2];
rz(-0.011249771766162283) q[2];
rx(-0.03743021305080408) q[3];
rz(0.30548427992588933) q[3];
rx(0.021604413547598213) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 12} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIIIIZIIZII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IIIIIZIII... | [
-3.5,
-3.5,
-3,
1.5,
-3,
-3.5,
1.5,
-3,
-3,
-3,
-3,
1,
1.5,
-3.5,
1,
-3,
1.5,
-3.5,
1.5,
-3.5,
-3,
-2.5,
0.5,
-2,
-2.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1,
0.5,
-1.5,
1
] | 0.984755 | [
-0.0857130289915835,
0.3471928830848995,
0.021604413547598213,
-0.0815156860614232,
0.031765751125932634,
-0.011249771766162283,
-0.03743021305080408,
0.30548427992588933,
0.36278004435329014,
-0.032129393019492,
2.701151649340084,
-0.07727125463394366,
0.004295448456440348,
0.080048270269... | {
"n_parameters": 22,
"n_qubits": 12,
"optimal_eigenvalue": -48.5,
"target_ratio": 0.97,
"target_value": -47.045
} | 14 |
ecdfa6719727c874685bdf2e4be77fdf | 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": 8, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 12, "source": 1, "target": 2}, {"weight": 1, "source": 2, "targ... | {"states": [222, 218], "expectation_value": -62.52276879654506, "params": [0.2421, 0.2942, 0.7857000000000001, -0.0074, 0.7952, 0.1495, 0.18680000000000002, 0.3254, 0.7892, -0.00030000000000000003, 0.7949, 0.11460000000000001, 0.35810000000000003, 0.2731, 0.7854, 0.1145, 0.3073, 0.29610000000000003, 0.25, 0.29200000000... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(7)) + 13.0 * Z(1) + 4.0 * Z(0) + 10.5 * ... | 18 | 9 | 4 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 142.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.1600009174123589) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.1600009174123589) q[2];
cx q[0], q[2];
rz(-0.7719264209641086) q[0];
rx(-0.132126651824934) q[0];
h q[3];
cx q[2], q[3];
rz(-0.1600009174123589) q[3];
cx q[2], q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIIZI",
"ZZIIIIIII",
"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,
13,
4,
10.5,
5,
16.5,
11.5,
8,
10.5,
4.5
] | 0.95037 | [
-0.1600009174123589,
0.8135875551295041,
-0.7719264209641092,
0.3112642997869111,
-1.1107828918886062,
-0.0035859949432012327,
0.25353739314454043,
-1.4782590457539677,
-0.13212665182493402,
0.04029037999209201,
0.9336532585928261,
-0.45999796928967995,
1.4560523182964364,
-0.1298961412366... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -72,
"target_ratio": 0.97,
"target_value": -69.84
} | 500 |
d7a525ce4c2e3aa682dbfbc5ee640032 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [14, 7], "expectation_value": -12.663390479843464, "params": null, "bitstrings": ["1110001", "1111000"], "total_optimization_steps": 63, "probabilities": [0.10630209494910714, 0.6109519875068035], "optimization_time": 117.91502904891968} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 11 | 7 | 4 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027051847789835787) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.027051847789835787) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.027051847789835787) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.027051847789835787) q[3];
cx q[1], ... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5577) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
-3.5,
-3.5,
-3.25,
-3.25,
-3,
-2.75,
-2.75
] | 0.976706 | [
0.027051847789835787,
-0.03206344691167204,
1.6851099918626093,
1.7238436867176876,
-1.4190839315479138,
-1.6226342532152522,
1.4767707881526164
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 75 |
e8296167f84310609970082b9ef1dbb3 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [109, 108], "expectation_value": -4.245755804249992, "params": [0.045000000000000005, -0.0199, 0.8969, -0.0024000000000000002, 0.9073, 0.0012000000000000001, 0.4491, -0.0011, 0.8987, 0.001, 0.9034000000000001, -0.0045000000000000005, -0.0082, 0.2474, 0.6979000000000001, -0.1292, 0.0386, 0.0199, 0.8987, 0.002... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(3) + -0.5 * Z(4) + -2.0 * Z(6) + -0.5 * Z... | 4 | 8 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["10010011", "10010110"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.008303033838111928) q[0];
rz(2.156307918069304) q[0];
rx(0.979763704857214) q[1];
rz(1.7862313027337482) q[1];
rx(2.0418871665800005) q[2];
rz(1.4074750309990982) q[2];
rx(0.5026265954133484) q[3];
rz(1.7980558158649167) q[3];
rx(1.2986001174464035) q[4];
rz(1.582... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IIIIZZII",
"IZIIIZII",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII",
"IIIIIZII",
"IIZIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1,
-0.5,
-2,
-0.5,
-0.5,
-0.5
] | 0.972061 | [
-0.008303033838111928,
0.585511591274407,
0.9797637048572141,
0.21543497593885175,
2.0418871665800005,
-0.16332129579579857,
0.5026265954133484,
0.22725948907001972,
1.2986001174464035,
0.011514554373933963,
1.2466707208427967,
-0.07287877703827075,
-0.06332218115066526,
0.4509816375922926... | {
"n_parameters": 45,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 19 |
0b4befd1b6021b98538c021e6b01d7d2 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 19, "source": 1, "target": 2}, {... | {"states": [218, 122], "expectation_value": -17.994830763627302, "params": [[-0.0396, -0.0122], [0.0765, 0.06860000000000001]], "bitstrings": ["00100101", "10000101"], "total_optimization_steps": 10, "probabilities": [0.012761254768758959, 0.01572499972449494], "optimization_time": 3.127408504486084} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 9.0 * Z(0) + 6.5 * Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.01397968868372599) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.01397968868372599) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.01397968868372599) q[2];
cx q[0], q[2];
rz(1.49705474763927) q[2];
rx(-0.4289462383307536) q[2];
h 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
9,
6.5,
13.5,
18,
5.5,
16,
1.5
] | 0.970109 | [
0.01397968868372599,
0.5085249205910766,
-1.5267868634678496,
1.4970547476392697,
1.2949275225586785,
-1.1149933922168591,
0.9054003815470787,
-0.49552292257893105,
-0.4289462383307536,
0.0177838660194501,
1.054237269205935,
0.14538943434979795,
0.4013926854345311,
0.14512282522157288,
-... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 55 |
7f5a9dfb1e236bee4145d5b6dc87f612 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [59, 91], "expectation_value": -4.401448812355782, "params": [[0.1257, 0.298, 0.4153], [-0.5106, -0.20800000000000002, -0.16840000000000002]], "bitstrings": ["11000100", "10100100"], "total_optimization_steps": 60, "probabilities": [0.04589096095767242, 0.04589096095767243], "optimization_time": 6.0859858989... | -0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -1.0 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(0) @ Z(5)) + -1.0 * (Z(0) @ Z(6)) + -0.5 * Z(1) + 1.5 * Z(5) + -0.5 * Z(2) + 3.0 * Z(6) + 0.5 * Z(3) + 0.0... | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["10100100", "11000100"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.757060425932339) q[0];
h q[1];
ry(0.5571476883083074) q[1];
h q[2];
ry(-0.7757331894833571) q[2];
h q[3];
ry(0.5571476883083074) q[3];
h q[4];
h q[5];
cx q[5], q[1];
ry(-0.5571476883083074) q[1];
cx q[5], q[1];
ry(-0.45153744158202225) q[5];
h q[6];
ry(1.5... | 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[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIIZI",
"IIIIIZZI",
"IIZIIZII",
"IZIIIIZI",
"IZZIIIII",
"IZIIIZII",
"ZIIIZIII",
"IIIZZIII",
"ZIIZIIII",
"IIZIIIIZ",
"IZIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIIZ"
] | [
-0.5,
0.5,
-0.5,
-1,
2,
-1,
-0.5,
0.5,
-0.5,
-0.5,
-1,
-0.5,
1.5,
-0.5,
3,
0.5,
0,
0.5,
-1.5
] | 0.970262 | [
1.551025847539175,
1.1142953766166148,
-1.514120851864678,
-0.9030748831640445,
1.0604963305167354,
1.1320609964259831,
0.4832606820012933,
-1.2695992048912437,
-1.5514663789667142,
0.7560951237958784,
0.6790527832433262,
0.2954535073205394,
0.22125758791669647,
-0.13766859132785303,
-0.... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 9 |
b426b8aff164c6823b185eb6b091738d | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [24, 28], "expectation_value": -2.1903223814105304, "params": [0.19590000000000002, -0.001, 0.3971, 0.0005, 0.4031, 0.0015, 0.40130000000000005, 0.0151, 0.1942, 0.1198, 0.1363, 0.1534, 0.2008, 0.001, 0.39990000000000003, 0.0009000000000000001, 0.4035, 0.0074, 0.4076, 0.0079, 0.18560000000000001, 0.1133000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(5) + -1.0 * Z(4) + -0.5 * Z(3) | 4 | 6 | 4 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(3.146586182667847) q[0];
rz(-0.4960671937553839) q[0];
ry(-0.1292922814490114) q[1];
rz(-0.6985758714498361) q[1];
cz q[1], q[0];
ry(0.043070532367504924) q[1];
ry(-0.04475695876475132) q[2];
rz(0.6631600359423698) q[2];
ry(0.5756435583956447) q[3];
rz(-0.14283149628... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"ZIIIZI",
"IZIZII",
"ZZIIII",
"ZIZIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IZIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-1,
-1,
-0.5
] | 0.988667 | [
3.146586182667847,
-0.4960671937553839,
-0.1292922814490114,
-0.6985758714498361,
-0.04475695876475132,
0.6631600359423698,
0.5756435583956447,
-0.14283149628386937,
0.09442180069266345,
2.7246196860446945,
0.021535266183752462,
3.2207334379454498,
-1.152313102082496,
-0.5291711248863585,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 27 |
a887d91f9606dc8ffadccd46fa1ed57b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 2}, {"capaci... | {"states": [48, 17], "expectation_value": -8.89110653955197, "params": null, "bitstrings": ["001111", "101110"], "total_optimization_steps": 28, "probabilities": [0.09024375903515425, 0.8025197132661654], "optimization_time": 17.861045360565186} | -1.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + 3.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(3)) + -2.0 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 1.5 * Z(5) + 1.0 * Z(1) + -0.75 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["101110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-2.7026747242885296) q[0];
ry(0.04369070613606717) q[0];
rz(-2.3989077382019692) q[0];
rz(1.2390313594475595) q[1];
ry(2.7029776244779247) q[1];
rz(-1.8931095271762974) q[1];
rz(1.2296356242845414) q[2];
ry(0.07252810464454057) q[2];
rz(-0.8196100966248716) q[2];
rz(... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) 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",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"ZIIIZI",
"IZZIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
-1.5,
-1.25,
3,
-1,
-0.5,
-0.5,
-0.75,
-2,
-0.25,
0.5,
1.5,
1,
-0.75
] | 0.983616 | [
-0.10851937358898682,
0.4487744318096143,
1.03540924260132,
-0.08402551519855138,
0.11521988296733376,
0.42557088328310494,
-0.050850343758797184,
0.2581494561174059,
-0.14082975527251856,
0.5348791684932794,
0.6541134772230921,
-0.015841090960918423,
0.10336452295257065,
0.568926069772383... | {
"n_parameters": 34,
"n_qubits": 6,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 11 |
6998245398537875737 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3, 7], [0, 3, 4, 5], [1, 5, 7], [1, 2, 5, 6], [0, 1, 2, 4, 6, 7], [1, 2, 3, 4, 5]]} | {"states": [173, 175], "expectation_value": -1.502542327291505, "params": null, "bitstrings": ["01010010", "01010000"], "total_optimization_steps": 43, "probabilities": [0.1511170020305729, 0.7712215313170968], "optimization_time": 75.28465056419373} | 0.21666666666666667 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.19999999999999998 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.03333333333333333 * (Z(0) @ Z(2)) + 0.03333333333333333 * (Z(0) @ Z(7)) + 0.13333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333334 * (Z(4) @ Z(2)) + 0.03333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.533333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.4833333333333332, "smallest_bitstrings": ["01010000"], "largest_eigenvalue": 5.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-5.135582602057772e-08) q[2];
cx q[3], q[2];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[7];
rz(2.561862492604449e-08) q[7];
cx q[3], q[7];
cx q[2], q[7];
cx q[3], q[0];
rz(1.2204412241250852e-08) q[0];
cx q[3], q[0];
cx ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4576) 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[... | [
"IIIIZZII",
"ZIIIZIII",
"ZIIIIZII",
"IIIIZIIZ",
"IIIIIZIZ",
"ZIIIIIIZ",
"IIIZZIII",
"IIIZIZII",
"ZIIZIIII",
"IIIZIIIZ",
"IIZIZIII",
"IIZIIZII",
"ZIZIIIII",
"IIZIIIIZ",
"IIZZIIII",
"IIIIZIZI",
"IIIIIZZI",
"ZIIIIIZI",
"IIIIIIZZ",
"IIIZIIZI",
"IIZIIIZI",
"IZIIIZII",
"ZZIIIII... | [
0.21666666666666667,
0.16666666666666666,
0.19999999999999998,
0.08333333333333333,
0.03333333333333333,
0.03333333333333333,
0.13333333333333333,
0.08333333333333334,
0.03333333333333333,
0.11666666666666667,
0.13333333333333333,
0.13333333333333333,
0.16666666666666666,
0.083333333333333... | 0.858696 | [
-5.135582602057772e-8,
2.561862492604449e-8,
-6.835839047987414e-8,
1.2204412241250852e-8,
9.966606881568994e-10,
3.858197456100111e-9,
1.158419106995561e-7,
1.2794364248122165e-7,
1.2116717248400008e-7,
-1.5707962849490553,
-1.5707961191926691,
1.5707963730149037,
-1.57079559192981,
1.570... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -1.533333333333333,
"target_ratio": 0.97,
"target_value": -1.487333333333333
} | 378 |
6e936c9031f4ef335042a74fa41c3e34 | 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": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 3, "target": 2}, {"capacity": 2, "source": 3, "target": 6... | {"states": [47, 63], "expectation_value": -2.8540203722133364, "params": null, "bitstrings": ["1010000", "1000000"], "total_optimization_steps": 37, "probabilities": [0.2088511956890643, 0.2100965666861345], "optimization_time": 26.686234951019287} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(2) @ Z(3)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + 0.0 * Z(4) + -0.25 * Z(0) + 0.25 * Z(5) + 0.5 * Z(3) + -0.5 * Z(2) + 0.25 * Z(6) + -0.25 * Z(1) | 1 | 7 | 4 | {"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, -3.0], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.0, "smallest_bitstrings": ["1111100", "1111110", "1100010", "1100000", "1100110", "1100100", "1000100", "1011100", "1010100", "1000000", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.006599739930172845) q[0];
cx q[4], q[0];
cx q[4], q[3];
rz(0.006599739930172845) q[3];
cx q[4], q[3];
cx q[3], q[2];
rz(0.006599739930172845) q[2];
cx q[3], q[2];
rz(0.006599739930173154) q[2];
rx(1.52576029632... | 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];\ncry(-1.5486) q[6], 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... | [
"IIZIIIZ",
"IZIIIIZ",
"IIZZIII",
"IIIZZII",
"ZIIIIIZ",
"ZZIIIII",
"ZIIZIII",
"IZIIIZI",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIZII",
"ZIIIIII",
"IIIIIZI"
] | [
-0.5,
-0.5,
-0.5,
-0.5,
1.25,
-0.5,
-0.5,
-0.25,
0,
-0.25,
0.25,
0.5,
-0.5,
0.25,
-0.25
] | 0.896155 | [
0.006599739930172845,
-0.059218668570738146,
0.782628674871177,
-1.5687868123923565,
-1.565222460442388,
-1.5704982977894495,
1.5257602963225112
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 198 |
3107872193623353780 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 1], [0, 9, 5], [8, 2, 6], [1, 3, 4], [1, 4, 7], [8, 3, 5], [1, 4, 5], [1, 6], [8, 4, 5], [2, 5], [8, 2, 4], [3, 4, 5], [0, 3, 4], [3, 5, 7], [8, 3, 6]]} | {"states": [63, 575], "expectation_value": -4.499893252236602, "params": [0.2928, 1.29, 0.0027, 0.0025, 0.0026000000000000003, 0.0027, -0.0025, -0.0025, 1.4089, 1.7273, 1.4917, 1.6471, 1.5684, 1.5686, 1.5708, 1.5754000000000001, 1.5866, 1.5608, 1.5734000000000001, 1.5735000000000001, -0.0011, -0.0752, 0.0016, 0.0015, 2... | 0.5 * (Z(9) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(9)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(9)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(8) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.3333333333333333 * (Z(2) @ Z(8)) + 0.5 * (Z(6) @ Z(1)) + 0.3333333333333333 * (Z(6) @... | 14 | 10 | 1 | {"smallest_eigenvalues": [-4.499999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.499999999999997, "smallest_bitstrings": ["0111000000"], "largest_eigenvalue": 13.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.168260590358785) q[0];
rz(pi/2) q[0];
ry(-0.05120142292037371) q[1];
ry(0.0321300916753817) q[2];
ry(-0.05321714622044435) q[3];
ry(1.5245490581145975) q[4];
ry(1.5885422336156767) q[5];
ry(1.4795222195876647) q[6];
ry(1.5945556479356278) q[7];
ry(1.59926322841805... | 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": []} | [
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"IIIIZIIIZI",
"ZIIIZIIIII",
"IIIIZIIIIZ",
"IZIIZIIIII",
"IIIIZIIZII",
"IZIIIIIZII",
"IIIZIIIIZI",
"IZIZIIIIII",
"IIIZIIIZII",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIZIZIII",
"IZIIIIZIII",
"IIIZIIZIII",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIZZIIII",
"IZIIIZIIII"... | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.3333333333333333,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.5,
0.1666666... | 0.98744 | [
0.168260590358785,
-0.05120142292037371,
0.0321300916753817,
-0.05321714622044435,
1.5245490581145975,
1.5885422336156767,
1.4795222195876647,
1.5945556479356278,
1.5992632284180552,
1.6362283882824282,
-0.12020298122775423,
0.7075324643385481,
-0.017116410711957943,
-0.01815955606546466,
... | {
"n_parameters": 38,
"n_qubits": 10,
"optimal_eigenvalue": -4.499999999999999,
"target_ratio": 0.97,
"target_value": -4.364999999999999
} | 1 |
-5806664385067794631 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 5], [1, 3], [1, 2], [4, 6]]} | {"states": [33, 35], "expectation_value": -1.6230628524505784, "params": null, "bitstrings": ["1011110", "1011100"], "total_optimization_steps": 45, "probabilities": [0.11461247365601185, 0.50624209710057], "optimization_time": 47.84106516838074} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.16666666666666674 * Z(1) + 0.16666666666666666 * Z(0) + 0.16666666666666666 * Z(5) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.5000000000000002, "smallest_bitstrings": ["1011100", "0100100", "0011110", "0011011", "1011001", "01000... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.4311321168923502) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(-0.4311321168923502) q[5];
cx q[1], q[5];
cx q[0], q[5];
cx q[1], q[3];
rz(-1.2336897652416439) q[3];
cx q[1], q[3];
cx q[1], q[2];
rz(-1.233689... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[1], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIIIIZZ",
"IZIIIZI",
"IZIIIIZ",
"IIIZIZI",
"IIIIZZI",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIZII",
"ZIIIIII",
"IIZIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666674,
0.16666666666666666,
0.16666666666666666,
0,
0,
0,
0
] | 0.676197 | [
-0.4311321168923502,
-1.2336897652416439,
0.03983349053490519,
0.791829364303237
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -1.8333333333333333,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 117 |
d32bae70887cbda0fd64e6ae105154d4 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 7}, {"source": 2, "target": 5}, {"source": 2, "ta... | {"states": [43, 299], "expectation_value": -2.16831351463128, "params": [[[1.6166, 0.0073], [0.45980000000000004, 0.009000000000000001], [0.446, 0.0018000000000000002], [1.7048, 0.0058000000000000005], [0.45120000000000005, 0.0035], [1.7035, 0.0006000000000000001], [-0.0021000000000000003, 0.0038], [1.7084000000000001,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(8) @ Z(1)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(3) @ Z(7)) + 0.0625 * (Z(8) @ Z(3)) + 0.0625 * (Z(6) @ Z(5)) + 0.0625 * (Z(7) @ Z(5)) + 0.0625 * (Z(8) @ Z(5)) + 0.0625 * (Z(6... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5625, "smallest_bitstrings": ["011010100"], "largest_eigenvalue": 7.4375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.1621346981994899) q[0];
rz(1.219855244128853) q[0];
rx(1.49996168361611) q[1];
rz(0.012973842691636614) q[1];
rx(1.8224941963463162) q[2];
rz(0.11473252339454168) q[2];
rx(0.35557846104245544) q[3];
rz(0.4777493280871876) q[3];
rx(1.7783067709589961) q[4];
rz(0.100... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIZZIIII",
"IIIIIIZIZ",
"IZIIZIIII",
"ZIIIIIIZI",
"IIIZIZIII",
"IIZIIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"IIZZIIIII",
"IZIZIIIII",
"ZIIZIIIII",
"IZZIIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIZZIZIII",
"IZIZIZIII",
"ZIIZIZIII",
"IZZIIZIII",
"ZIZIIZIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.... | 0.975155 | [
0.1621346981994899,
0.8907909437276,
1.49996168361611,
0.012973842691636614,
1.8224941963463162,
0.11473252339454168,
0.35557846104245544,
0.4777493280871876,
1.7783067709589961,
0.10092441617979156,
1.4152144998462595,
-0.06409716579262772,
1.6293285773649606,
0.15823143802141262,
0.028... | {
"n_parameters": 53,
"n_qubits": 9,
"optimal_eigenvalue": -91,
"target_ratio": 0.97,
"target_value": -88.27
} | 13 |
7e10b313c0e966d78a431e218b1e1e89 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 16, "source": 1, "target": 5}, {"weight": 17, "source": 1, "tar... | {"states": [238, 234], "expectation_value": -32.091566108101496, "params": [[-0.0385, -0.0013000000000000002, 0.0064], [0.0787, 0.07200000000000001, 0.0648]], "bitstrings": ["100010001", "100010101"], "total_optimization_steps": 10, "probabilities": [0.011566041869427727, 0.014312121287295792], "optimization_time": 6.4... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(7)) + 13.0 * Z(1) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-88.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 159.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.9628339992251395) q[0];
rz(0.24643778475032496) q[0];
rx(0.031934521230925945) q[1];
rz(0.6957418773789037) q[1];
rx(0.746952282078199) q[2];
rz(0.19202549982061745) q[2];
rx(-0.03353672724594935) q[3];
rz(-0.30813565141290766) q[3];
rx(0.11895133461832372) 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", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIZII",
"IIIZZIIII",
"IZIZIIIII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IZZIIIIII",
"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,
13,
5,
17.5,
17,
2.5,
18.5,
13,
14,
-4
] | 0.971124 | [
0.9628339992251392,
0.321276928460635,
0.031934521230925945,
0.48039896751430633,
0.746952282078199,
0.0959376568954999,
-0.03353672724594936,
-0.35070992475926976,
0.11895133461832372,
-0.4306747619097894,
0.07759593497180284,
0.34292022266484173,
0.8259879532623664,
0.2553982184908408,
... | {
"n_parameters": 80,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 6 |
f20b14ccaf46fd91ed39b9c05edbe906 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target"... | {"states": [2, 3], "expectation_value": -4.305500873124692, "params": [[[0.1923, -0.1963], [0.19, 0.201], [0.19240000000000002, 0.1981], [0.6047, 0.0013000000000000002], [0.5946, 0.0013000000000000002]], [[0.1917, -0.19640000000000002], [0.1948, 0.201], [0.1951, 0.1981], [0.6032000000000001, 0.0013000000000000002], [0.... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -3.0 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "11001", "10110"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
1.75,
1.75,
1.75,
2,
2,
-2.75,
-3,
-2.75,
-2.5,
-2.5
] | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
ad5e16c647b3e8afeeb51cea63283747 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [19, 26], "expectation_value": -4.489065531693061, "params": null, "bitstrings": ["1101100", "1100101"], "total_optimization_steps": 33, "probabilities": [0.06023648174640777, 0.864537407937387], "optimization_time": 29.99935030937195} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -2.0 * Z(4) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(1) + -0.5 * Z(2) + -1.0 * Z(6) + -0.5 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100101", "0010111", "0100111", "1101100", "0101110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.5498208309717705) q[0];
rz(-pi) q[1];
ry(-0.027905039045476778) q[1];
h q[2];
ry(1.4286739804212187) q[2];
h q[3];
h q[4];
ry(-1.5712458828569957) q[4];
h q[5];
cx q[5], q[0];
ry(0.5498208309717705) q[0];
cx q[5], q[0];
ry(-0.6191263193766597) q[0];
ry(1.0... | 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[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIZIIIZ",
"IZZIIII",
"IZIIIIZ",
"IZIIIZI",
"IIZIZII",
"IIIIZZI",
"ZIZIIII",
"ZIIIIZI",
"IIZZIII",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1,
-1,
-0.5,
-1,
-0.5
] | 0.994261 | [
-1.5712458828569957,
-1.4972505690550146,
1.4286739804212187,
-1.0053995826514508,
-1.099641661943541,
0.690142419476929,
-0.4471038081227416,
0.6668894682407048,
-0.3440450225078362,
0.09470115397418863,
0.33432841627262677,
-0.28297716612437795,
-0.16457309048695368,
0.2152753034606018,
... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
3c25f4733a6ff92642f47c1f75f8c86b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [53, 55], "expectation_value": -70.25380963061562, "params": [[[0.6755, 0.1057], [0.2931, 0.15510000000000002], [0.1623, 0.0863], [0.46990000000000004, 0.3012], [0.6264000000000001, 0.5228], [-0.0453, 0.53], [0.676, 0.2519], [-0.022000000000000002, 0.5088], [0.5964, 0.4859]], [[0.13240000000000002, 0.0767], ... | 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(1) @ Z(6)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(4) @ Z(6)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(5)) + 12.5 * Z(3) + 0.5 * Z(2) + 21.5 * Z(6) + 2.0 * Z(1) + 15.5 * Z(4) + 13.5 * Z(5... | 15 | 9 | 4 | {"smallest_eigenvalues": [-94.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "smallest_bitstrings": ["111001000"], "largest_eigenvalue": 165.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.10719193653544365) q[0];
rz(pi/2) q[0];
ry(-0.2190822227586349) q[1];
ry(-0.12954707671247015) q[2];
ry(0.6282052453773453) q[3];
ry(0.36417586606239594) q[4];
ry(0.1330997299250641) q[5];
ry(0.2647102197841174) q[6];
ry(0.49838846431319195) q[7];
ry(0.492213547032... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZII",
"IIZIIIIZI",
"IIIIZIZII",
"IIZIZIIII",
"IIIZIZIII",
"IIZZIIIII",
"IIIZZIIII",
"IZZIIIIII",
"IZIIIIIZI",
"ZIIIIZIII",
"ZIIZIIIII",
"IIIIIZIII",
"IIIIIIZII",
"IIZIIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIIZ"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
12.5,
0.5,
21.5,
2,
15.5,
13.5,
8.5,
7,
-12.5
] | 0.970189 | [
0.10719193653544365,
-0.2190822227586349,
-0.12954707671247015,
0.6282052453773453,
0.36417586606239594,
0.1330997299250641,
0.2647102197841174,
0.49838846431319195,
0.49221354703296166,
0.024063125979640762,
-0.02018139483797929,
0.26867263510567346,
-0.03821159311196183,
-0.3504683881691... | {
"n_parameters": 105,
"n_qubits": 9,
"optimal_eigenvalue": -94,
"target_ratio": 0.97,
"target_value": -91.17999999999999
} | 7 |
42c8a30369b7a75bc5bed2e6569b1f7f | 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": 4, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [200, 55], "expectation_value": -4.749699027054112, "params": [[0.0024000000000000002, 0.0025, -0.0022, -0.3163, -0.23670000000000002, 0.0054, 0.0027, -0.0024000000000000002], [0.0027, -0.003, 0.0024000000000000002, 0.7685000000000001, 0.7788, 0.0025, -0.0001, 0.0027], [0.9111, 0.4718, 0.7768, -0.0131, 0.0, ... | -1.0 * (Z(0) @ Z(1)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + 1.75 * (Z(7) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(5)) + -1.25 * (Z(3) @ Z(7)) + -2.5 * (Z(3) @ Z(2)) + -0.75 * (Z(6) @ Z(7)) + -2.75 * Z(1) + -0.25 * Z(0) + 0.0 * Z(5)... | 9 | 8 | 4 | {"smallest_eigenvalues": [-15.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.75, "smallest_bitstrings": ["11001000"], "largest_eigenvalue": 18.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.756390603361468) q[0];
h q[1];
h q[2];
h q[3];
ry(1.960802890701371) q[3];
rz(-pi) q[4];
ry(-0.03363957311324232) q[4];
h q[5];
ry(0.7593746714538002) q[5];
cx q[2], q[5];
ry(-0.7593746714538002) q[5];
cx q[2], q[5];
ry(0.2851378825371864) q[2];
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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIZIIIZI",
"IIZIIIIZ",
"ZIIIIIIZ",
"IIIIIZZI",
"IIZIIZII",
"IIIZIIZI",
"IIIIZIZI",
"IIZIZIII",
"ZIIIZIII",
"IIIIZZII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII"
] | [
-1,
-1.75,
-0.5,
1.75,
-0.5,
-3,
-0.5,
-1,
-1.75,
-1.25,
-2.5,
-0.75,
-2.75,
-0.25,
0,
-0.25,
-1,
-0.5,
4,
0.75
] | 0.973129 | [
1.960802890701371,
1.5187493429076004,
0.5702757650743728,
0.5884320148351232,
-0.35492320054565396,
-0.00790800591482066,
-0.009886103992825745,
-0.11041315474839637,
0.4022843241340985,
0.967658013117771,
1.6733011054968419,
-1.512781206722936,
1.8222976834996618,
-0.9970092432471047,
... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -15.75,
"target_ratio": 0.97,
"target_value": -15.2775
} | 41 |
e4c65d82be0d39aa5a43dd21b25413c9 | 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": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [52, 22], "expectation_value": -3.9964641631107405, "params": null, "bitstrings": ["001011", "101001"], "total_optimization_steps": 25, "probabilities": [0.06634837994155196, 0.9303663571669202], "optimization_time": 19.11318826675415} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -1.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001011", "101001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3247553284692968) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.3247553284692968) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.3247553284692968) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.3247553284692968) q[3];
cx q[2], q[3];
h ... | 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",
"IIIZZI",
"ZIIIZI",
"IIZZII",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-0.5,
-1,
-0.5,
-0.5
] | 0.974813 | [
0.3247553284692968,
-1.3219445212436283,
-0.42592128972119486,
-1.3026339243679061,
-0.9080909678550849,
-1.1188009159857968,
0.06199065936474893,
-1.7911626886341159,
0.15201918715687204,
0.008349512126035533,
-0.1740273346787747,
-0.13593270342756683,
0.4345867108068353,
-0.2043119716458... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 68 |
1c92797ebdc5766ffafd498d21cf8a8a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": ... | {"states": [174, 238], "expectation_value": -2.1535908858073833, "params": [0.5343, 0.7601, 1.3123, 0.2758, 0.9559000000000001, 0.2192, 1.5008000000000001, 0.5366000000000001, -0.0043, 1.0023, 1.4944000000000002, -0.1301, 1.4987000000000001, 0.0351, 1.498, -0.3659, 0.093, -0.7166, 0.5252, 0.0047, 1.3062, 0.002900000000... | 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(3) @ Z(4)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(0) @ Z(3) ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.125, "smallest_bitstrings": ["010010100", "100010001", "001100010"], "largest_eigenvalue": 5.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3263252853866216) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.3263252853866216) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.3263252853866216) q[1];
cx q[1], q[0];
rz(-0.2868445573421025) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
h... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIZZIII",
"IIIIIZIIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIIZIZIII",
"IIZIIZIII",
"IIZZIIIII",
"IIIZIZIIZ",
"IIZIIZIIZ",
"IIZZIIIIZ",
"IIZZIZIII",
"IIZZIZIIZ",
"IZIIIIIZI",
"ZIIIIIIZI",
"ZZIIIIIII",
"ZZIIIIIZI",
"IIIZZIIII",
"... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0,
0,
-0.125,
-0.25,
0.125,
0.125,
0,
0
] | 0.67707 | [
0.3263252853866216,
-0.2868445573421025,
0.8549473281324195,
0.15280073471375832,
-0.09601834521733131,
0.07301194046511382,
-0.5945200247002729,
0.6127883089730268,
-0.7279343502043079,
1.0826034920116065,
0.3316483973775847,
-0.3459484728746911,
-0.416855612655761
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 280 |
d7a525ce4c2e3aa682dbfbc5ee640032 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [70, 7], "expectation_value": -5.18275185159872, "params": [[0.0351, 0.0267, 0.036000000000000004, -0.0427], [-0.0393, -0.030100000000000002, -0.0408, -0.0129]], "bitstrings": ["0111001", "1111000"], "total_optimization_steps": 10, "probabilities": [0.013774462179726948, 0.01448654178775913], "optimization_t... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 10 | 7 | 4 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027051847789835787) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.027051847789835787) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.027051847789835787) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.027051847789835787) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
-3.5,
-3.5,
-3.25,
-3.25,
-3,
-2.75,
-2.75
] | 0.976706 | [
0.027051847789835787,
-0.03206344691167204,
1.6851099918626093,
1.7238436867176876,
-1.4190839315479138,
-1.6226342532152522,
1.4767707881526164
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 75 |
93141c357d164fcf2a36ba666f8f01e3 | edge_cover | qaoa | {"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": [22, 25], "expectation_value": -0.14032525298537663, "params": [[-0.046, -0.0409, -0.06420000000000001], [0.0627, 0.0468, 0.060500000000000005]], "bitstrings": ["01001", "00110"], "total_optimization_steps": 10, "probabilities": [0.039945441608169936, 0.03994544160816994], "optimization_time": 4.088207006454... | 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(2) @ Z(4)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["00110", "01001"], "largest_eigenvalue": 4.0} | 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];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] ... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZIZ",
"IIZZI",
"IIZZZ",
"IZIIZ",
"ZIIIZ",
"ZZIII",
"ZZIIZ",
"IZIZI",
"ZIZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0,
-0.25,
-0.25,
-0.25,
-0.25
] | 0.525188 | [
0.1714898456555271,
-0.24938667349607663,
1.1176635259891476,
0.8103834446690221,
-0.7718739166458187
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 163 |
b8aaab24da0004c3e40ded7e0da30763 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [62338, 62337], "expectation_value": -5.4066946401676494, "params": [[[0.23140000000000002, 0.3437], [0.6971, 0.6159], [0.6992, 0.4974], [0.6995, 0.5283], [-0.0009000000000000001, 0.4534], [-0.0012000000000000001, -0.0047], [0.7060000000000001, -0.0012000000000000001], [0.7065, 0.0027], [0.6990000000000001, ... | 0.4444444444444444 * (Z(0) @ Z(1)) + 0.4444444444444444 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(14)) + 1.0 * (Z(15) @ Z(14)) + 0.5 * (Z(15) @ Z(4)) + 0.5 * (Z(5) @ Z(14)) + 0.4444444444444444 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(15)) + -0.5 * (Z(9) @ Z(14)) + -0.5 * (Z(9) @ Z(4)) + -0.5 * (Z(9) @ Z(15)) + -0.5 * (Z(9) @ Z(5)) +... | 15 | 16 | 3 | {"smallest_eigenvalues": [-7.722222222222156], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.722222222222141, "smallest_bitstrings": ["0000110001111110"], "largest_eigenvalue": 26.277777777777743} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-0.04755975372679777) q[0];
rz(-pi) q[1];
ry(-0.16357168903548214) q[1];
rz(-pi) q[2];
ry(-0.16357168903548214) q[2];
h q[3];
ry(-1.6848675864644589) q[3];
ry(-0.05392656744408793) q[4];
rz(-pi) q[4];
ry(-0.08761228669430021) q[5];
rz(-pi) q[5];
h q[6];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZII",
"IZIIIIIIIIIZIIII",
"ZZIIIIIIIIIIIIII",
"ZIIIIIIIIIIZIIII",
"IZIIIIIIIIZIIIII",
"IIIIIIIIIIZZIIII",
"ZIIIIIIIIIZIIIII",
"IZIIIIZIIIIIIIII",
"IIIIIIZIIIIZIIII",
"ZIIIIIZIIIIIIIII",
"IIIIIIZIIIZIIIII",
"IZIIIZIIIIIIIIII",
"IIIIIZIIIIIZIIII",
"ZIIIIZI... | [
0.4444444444444444,
0.4444444444444444,
0.5,
1,
0.5,
0.5,
0.4444444444444444,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
1,
-1,
-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,
... | 0.995678 | [
1.5124481082497874,
-1.6848675864644589,
-1.7984235144880873,
-1.5128877401597436,
-1.43889529306715,
-0.15594893256731784,
0.05940740011829414,
0.13302301188552904,
0.12811099731541742
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 1 |
e2d42d54466cad0e47a576fec07e2be9 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [140, 156], "expectation_value": -1.3152542251782204, "params": [1.6011, 0.0098, 1.2758, 0.0088, 0.0025, 0.009300000000000001, 1.5984, 0.007200000000000001, 1.6128, 0.0047, 1.6024, 0.006500000000000001, 0.55, 0.0034000000000000002, 0.5601, 0.0041, 0.0045000000000000005, 0.0017000000000000001, 0.0068000000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(1) @ Z(3) @ Z(4)) + -0.125 * (Z(1) @ Z(3) ... | 16 | 8 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.375, "smallest_bitstrings": ["10101001", "10100110", "01100110", "01101001", "01100011"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.9780527284148871) q[0];
rz(-0.32148690663209895) q[0];
ry(-0.7892727298300091) q[1];
rz(0.1975676236284789) q[1];
cx q[1], q[0];
ry(0.8962891467746957) q[0];
rz(0.052798159012349036) q[0];
ry(0.5058660408624864) q[1];
rz(-0.3978263625905253) q[1];
ry(-0.31629941256... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIIZZIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIZIIIZI",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIIZZIZI",
"IIZIZIZI",
"IIZZIIZI",
"IIZZZIII",
"IIZZZIZI",
"IZIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZII... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.5,
-0.25,
-0.125,
-0.75,
0.125,
-0.125,
-0.125,
-0.5,
-0.5
] | 0.970089 | [
0.9780527284148871,
-0.32148690663209895,
-0.7892727298300091,
0.1975676236284789,
-0.3162994125644556,
-0.3927838541721411,
0.07591008131711265,
0.010362765644280701,
-0.004177353980553352,
-0.014282973755614476,
-0.006464029793591477,
-0.7218823444991684,
-0.3051057789958777,
-0.12106482... | {
"n_parameters": 83,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 69 |
-3852382582543882751 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[8, 3, 7], [8, 6, 7], [0, 8, 4], [1, 5, 9, 7], [9, 6, 7], [1, 10, 2, 7], [8, 10, 2, 5], [4, 6], [0, 7], [9, 2], [10, 3, 5]]} | {"states": [623, 111], "expectation_value": -3.4543268445081354, "params": [0.3617, 0.0058000000000000005, 0.0017000000000000001, 0.0061, 1.3995, -0.3801, 1.4005, 0.0056, 0.8522000000000001, -0.0201, 0.057800000000000004, 0.003, 1.1276000000000002, 0.0261, 0.38480000000000003, 0.0018000000000000002, 1.3980000000000001,... | 0.16666666666666666 * (Z(8) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.3333333333333333 * (Z(7) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(8)) + 0.3333333333333333 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.5 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(6)) + 0.1666666666... | 6 | 11 | 1 | {"smallest_eigenvalues": [-3.833333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.666666666666667, "smallest_bitstrings": ["11110010000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.11412527215101573) q[0];
rz(1.8029643031344493) q[0];
rx(1.3911553582470988) q[1];
rz(0.7451880974472784) q[1];
rx(0.7282965144563821) q[2];
rz(1.7228984809017085) q[2];
rx(0.4420240310465786) q[3];
rz(1.2544771366036738) q[3];
rx(1.5483850876453467) q[4];
rz(1.72... | 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": []} | [
"IIZIIIIZIII",
"IIIZIIIZIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"IIIZZIIIIII",
"IIZIIIIIIIZ",
"IIIZIIIIIIZ",
"IIZIIIZIIII",
"IIIIZIZIIII",
"IIIIIIZIIIZ",
"IIIZIIIIIZI",
"IIIIIZIZIII",
"IIZIIZIIIII",
"IIIZIZIIIII",
"IIIIIZIIIZI",
"IZIZIIIIIII",
"IZIIZIIIIII",
"IZIIIIIIIZI",
"IZIIIZIII... | [
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.25,... | 0.970065 | [
0.11412527215101573,
0.23216797633955258,
1.391155358247099,
-0.8256082293476179,
0.7282965144563822,
0.15210215410681158,
0.4420240310465786,
-0.31631919019122273,
1.5483850876453469,
0.1499955748565287,
1.698272865294928,
-0.027024381163798194,
0.2451722035832836,
0.0758361180403943,
1... | {
"n_parameters": 52,
"n_qubits": 11,
"optimal_eigenvalue": -3.833333333333332,
"target_ratio": 0.97,
"target_value": -3.718333333333332
} | 178 |
b2edf981a9c05ff141b468ab5531d2c7 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [35, 11], "expectation_value": -0.18462700711110194, "params": [[0.0345, -0.054200000000000005, -0.055400000000000005], [-0.0733, 0.0329, 0.055400000000000005]], "bitstrings": ["011100", "110100"], "total_optimization_steps": 10, "probabilities": [0.018441762481360608, 0.01844176248136061], "optimization_tim... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + -1.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["011100", "110100"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.5248550386083428) q[0];
ry(-0.10221270413882634) q[1];
rz(-pi) q[1];
h q[2];
h q[3];
ry(-0.09127413307150792) q[3];
h q[4];
ry(1.5248550386083428) q[4];
h q[5];
ry(-0.09127413307150792) q[5];
cx q[2], q[5];
ry(0.09127413307150792) q[5];
cx q[2], q[5];
ry(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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",
"IIIZIZ",
"IZIIZI",
"ZIIIZI",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-1
] | 0.971484 | [
-1.505134990804261,
-0.18254826614301584,
1.5248550386083428,
-0.03839767417260796,
1.417504350103393,
0.9854096523880066,
-0.5343385890345632,
-0.5625052963746807,
0.13394661936504978,
0.07310273629638185,
0.1078849727528113,
-0.5444759194660239,
-0.4696532586096871,
-0.1666927772157234,
... | {
"n_parameters": 30,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 35 |
7581b63ad8d9f7a2c5d263f270fd5876 | 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": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 1, "target": 8}, {"source": 2, "target":... | {"states": [570, 574], "expectation_value": -2.5874460476025964, "params": [0.8045, 0.8041, 0.0753, 0.07780000000000001, 0.11080000000000001, 0.1153, 0.4385, 0.4384, 0.7997000000000001, 0.8057000000000001, 0.8064, 0.7999, 0.812, 0.8089000000000001, 0.8022, 0.8013, 0.8108000000000001, 0.8046000000000001, 0.095, 0.097300... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(7) @ Z(9)) + -1.0 * Z(3) + 0.0 * Z(0) + -1.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(8) + -1.0 * Z(2) + 0.0 * Z(5) + -1.0 * Z(9) + 0.0 * Z(4) + 0... | 13 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["0101010001", "1110000001", "0111000001"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(2.2454815882282793) q[0];
rz(-0.2625822396920105) q[0];
ry(0.24928419137854477) q[1];
ry(-0.032620343161514326) q[2];
ry(-0.05269507266177441) q[3];
ry(1.366624634848606) q[4];
ry(1.2457100096294877) q[5];
ry(1.4023049846489202) q[6];
ry(1.4128806995207426) q[7];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIZIIIIZI",
"IZIIIIIIZI",
"IIIIIIZZII",
"IIIIZIIZII",
"ZIIIIIIZII",
"ZIIIIZIIII",
"ZIZIIIIIII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIZIIIIII",
"IZIIIIIIII",
"IIIIIIIZII",
"IIIIZIIIII",
"ZIIIIIIIII",
"IIIIIZIIII",
"IIZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1,
0,
0,
-1,
0,
-1,
0,
0
] | 0.97057 | [
2.2454815882282793,
0.24928419137854477,
-0.032620343161514326,
-0.05269507266177441,
1.366624634848606,
1.2457100096294877,
1.4023049846489202,
1.4128806995207426,
0.7350353164794277,
0.16234566330265404,
-0.525164479384021,
0.3883269119294047,
0.14584412936670094,
-0.4187908018965459,
... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 20 |
3179afe1dc957b5c6c41286c03203dc8 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [25, 38], "expectation_value": -0.02925957834555032, "params": [[0.022500000000000003], [-0.0304]], "bitstrings": ["1100110", "1011001"], "total_optimization_steps": 10, "probabilities": [0.007951644914934676, 0.007973144668126117], "optimization_time": 1.2402796745300293} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + -1.5 * Z(6) + 0.0 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 7 | 1 | {"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": ["1101001", "1011001", "1100110", "0101011", "1100101", "0100111"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.13519463971453738) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IZIIIIZ",
"ZIIIIZI",
"ZIIIIIZ",
"ZZIIIII",
"IIIIZZI",
"IIIZIZI",
"ZIZIIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-0.5,
-1.5,
0,
-0.5,
-0.5
] | 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 |
7e345cf111467ff8f80e9eb960cc5714 | 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": [760, 728], "expectation_value": -70.01830550466816, "params": [0.7040000000000001, -0.0012000000000000001, 0.3894, -0.0949, 0.6936, 0.0059, 0.7032, -0.031100000000000003, 0.5309, -0.1457, 0.6937, 0.021400000000000002, 0.7000000000000001, -0.0044, 0.041800000000000004, -0.30510000000000004, -0.0155, 0.3579, ... | 7.5 * (Z(0) @ Z(2)) + 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(3) @ Z(5)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(5)) + 7.5 * (Z(9) @ Z(2)) + 17.5 * Z(2) + 10.0 * Z(0) + 1.5 * Z(1) + 14.5 * Z(5) + 4.0 * Z(4) + 9.5 * Z(3) + -5.5 * Z(7) + -1.5 * Z(6) + -4.0 * Z(8) +... | 4 | 10 | 3 | {"smallest_eigenvalues": [-98.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.0, "smallest_bitstrings": ["0100100111"], "largest_eigenvalue": 121.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.6613255038002777) q[0];
rz(1.6014960167958794) q[0];
rx(0.20612438958230317) q[1];
rz(1.295623635771146) q[1];
rx(0.8451320420899783) q[2];
rz(1.9685672866653547) q[2];
rx(1.0448914663350444) q[3];
rz(1.5602673677084784) q[3];
rx(-0.12259314897063267) q[4];
rz(1.4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIZZIIII",
"IIIIZIZIII",
"IIIIIZZIII",
"IIZZIIIIII",
"IZIIZIIIII",
"ZIIIIIIZII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIZIIIIIII",
"IIIZIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII"
] | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
17.5,
10,
1.5,
14.5,
4,
9.5,
-5.5,
-1.5,
-4,
-6.5
] | 0.974688 | [
0.6613255038002775,
0.03069969000098328,
0.20612438958230314,
-0.2751726910237505,
0.8451320420899783,
0.3977709598704587,
1.0448914663350446,
-0.010528959086418738,
-0.12259314897063268,
-0.08921202438512262,
0.5366851993103547,
-0.12112820347143718,
0.9862573778070106,
0.1139931933216867... | {
"n_parameters": 82,
"n_qubits": 10,
"optimal_eigenvalue": -98,
"target_ratio": 0.97,
"target_value": -95.06
} | 20 |
dbf0509ba0f23922e87c12c75c80edad | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 3, "ta... | {"states": [60, 124], "expectation_value": -4.091936796487786, "params": [[[-0.0025, 0.0098], [-0.0018000000000000002, 0.009300000000000001], [-1.6298000000000001, 0.006500000000000001], [3.1512000000000002, 0.0036000000000000003], [3.1436, 0.006], [3.1395, 0.0015], [3.1445000000000003, 0.007200000000000001], [-0.00680... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(3) @ Z(6)) + 0.0625 * (Z(3) @ Z(7)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(7) @ Z(4)) + 0.0625 * (Z(5) @ Z(6)) + 0.0625 * (Z(7) @ Z(5)) + 0.0625 * (Z(7) @ Z(6)) + -0.0625 * (Z(3) @ Z(4) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5625, -4.5625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5625, "smallest_bitstrings": ["101100001", "110000011"], "largest_eigenvalue": 7.4375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.00863823335496685) q[0];
rz(-0.31246395718193615) q[0];
rx(0.03256082142940872) q[1];
rz(0.14549063673003793) q[1];
rx(-2.511781812196354) q[2];
rz(0.18968910572837164) q[2];
rx(3.157772475483059) q[3];
rz(0.08891949251601677) q[3];
rx(3.2330319069981446) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIZIII",
"IIZIIZIII",
"IZIIIZIII",
"IIIZZIIII",
"IIZIZIIII",
"IZIIZIIII",
"IIZZIIIII",
"IZIZIIIII",
"IZZIIIIII",
"IIIZZZIII",
"IIZIZZIII",
"IZIIZZIII",
"IIZZIZIII",
"IZIZIZIII",
"IZZIIZIII",
"IIZZZIIII",
"IZIZZIIII",
"IZZIZIIII",
"... | [
0.5,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.5,
0.5,
0.5,
0.5,
-1,... | 0.975693 | [
0.00863823335496685,
-0.31246395718193615,
0.03256082142940872,
0.14549063673003793,
-2.511781812196354,
0.18968910572837164,
3.157772475483059,
0.08891949251601677,
3.2330319069981446,
0.1701921487054816,
2.98371500244546,
0.27545267693833914,
3.1863696803331467,
-0.04651911819225621,
0... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -4.5625,
"target_ratio": 0.97,
"target_value": -4.425625
} | 10 |
209492d0ebde0c4941c69f20876abb8e | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 6, "source": 0, "t... | {"states": [342, 218], "expectation_value": -12.344395372607298, "params": [[0.035500000000000004, 0.0118, -0.0057], [-0.0375, -0.023, -0.0123]], "bitstrings": ["010101001", "100100101"], "total_optimization_steps": 10, "probabilities": [0.004021564247348545, 0.004577598227389243], "optimization_time": 6.62573862075805... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(0)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 173.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-1.6129533872423376) q[0];
rz(-pi) q[0];
ry(-2.7133984904150865) q[1];
rz(-pi) q[1];
ry(-1.1246832916142324) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.06990389825150062) q[3];
ry(-2.492509573069741) q[4];
rz(-pi) q[4];
rz(-pi) q[5];
ry(-2.5261241041441176) q[5];
h q[6];
ry(3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIIIZZII",
"IIIZIIIIZ",
"IIIZIIZII",
"IIZIIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14,
12,
17.5,
19.5,
3,
16.5,
8.5,
17.5,
-2.5
] | 0.975696 | [
10.121101282315646,
-12.319882261664342,
16.707062439924574,
-0.04620449146954514,
5.408766694090489,
39.2881569578351,
2.200931497780031,
1.3504497871600263,
-12.3896475105252,
11.461956828246157,
-21.13442863499262,
-11.125335305707027,
17.15160517466839,
-4.001693389476348,
3.76601143... | {
"n_parameters": 79,
"n_qubits": 9,
"optimal_eigenvalue": -86.5,
"target_ratio": 0.97,
"target_value": -83.905
} | 72 |
470175375158941654 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 4], [8, 6], [1, 3, 5], [5, 6], [0, 3], [4, 6, 7], [8, 1], [8, 7]]} | {"states": [182, 230], "expectation_value": -3.382922679622123, "params": null, "bitstrings": ["101001001", "100011001"], "total_optimization_steps": 75, "probabilities": [0.0681110562423806, 0.759727615517051], "optimization_time": 135.17050647735596} | 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(8)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.16666666666666666 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.666666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.333333333333333, "smallest_bitstrings": ["100011001"], "largest_eigenvalue": 4.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.19943246517609176) q[0];
h q[1];
ry(0.8159266731811888) q[1];
h q[2];
h q[3];
cx q[3], q[0];
ry(0.19943246517609176) q[0];
cx q[3], q[0];
ry(-0.8281767394007528) q[0];
ry(1.129393935450757) q[3];
h q[4];
ry(-0.4655165965784095) q[4];
cx q[2], q[4];
ry(0.46... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... | [
"IIIIZIZII",
"IIZIZIIII",
"ZIZIIIIII",
"ZIIIIIIZI",
"IIIIIZIZI",
"IIZZIIIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIIIZIIZ",
"IZIIZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIZIIII",
"IIIIIIZII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IZIIIIIII"
] | [
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666663,
0,
0.16666666666666652,
0,
0.16666666666666663,
0.16666666666666663,
0.16666666666666663,
0,
0.1666... | 0.973431 | [
-0.3988649303521835,
1.4504111786652216,
1.6318533463623777,
-0.9093153890352065,
1.6598379620590424,
-0.9580676921307597,
-0.931033193156819,
0.5437906042940406,
-0.26537272782437604,
0.7985159541916155,
-0.6092821801969954,
0.6617559625182828,
0.577570194365221,
0.15204284849627298,
-0... | {
"n_parameters": 54,
"n_qubits": 9,
"optimal_eigenvalue": -3.666666666666666,
"target_ratio": 0.97,
"target_value": -3.556666666666666
} | 19 |
59c7bf586b1b6ff0483e10c6bee5d678 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [5, 7], "expectation_value": -4.68510953902638, "params": [[[0.4636, 0.2348], [0.4903, -0.2063], [0.4807, -0.21830000000000002], [0.4857, -0.201], [0.8993, -0.0006000000000000001], [0.8616, 0.0013000000000000002], [0.8651000000000001, 0.0009000000000000001]], [[0.46040000000000003, 0.0021000000000000003], [0... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.09852088117442483) q[0];
rz(0.2464321943833836) q[0];
rx(0.013740361534353596) q[1];
rz(0.12256695080273028) q[1];
rx(0.05080481933461604) q[2];
rz(0.549588069015392) q[2];
rx(0.06690848796093422) q[3];
rz(0.38811176682309867) q[3];
rx(0.877826886335347) 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[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
2.25,
2.5,
2.5,
2.5,
-3.25,
-3.75,
-3.5,
-3.25,
-3,
-2.75,
-3
] | 0.972546 | [
0.09852088117442481,
0.29714743619100425,
0.013740361534353596,
0.1099884739568158,
0.050804819334616044,
0.589456889889742,
0.06690848796093424,
0.10021892232913784,
0.8778268863353469,
0.10725033732893174,
0.6196906577153632,
0.08294956462237285,
0.6366887474608689,
0.13202917432697883,
... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 12 |
8f21ecaec272429f1bdc72f298b44a30 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 6, "source": 1, "target": 3}, {"capacity": 5, "so... | {"states": [1, 15], "expectation_value": -5.973429164810103, "params": null, "bitstrings": ["11110", "10000"], "total_optimization_steps": 38, "probabilities": [0.08996421767388751, 0.6443062405164904], "optimization_time": 26.204355239868164} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + 1.75 * (Z(4) @ Z(0)) + -1.75 * (Z(4) @ Z(3)) + -2.75 * (Z(2) @ Z(3)) + 1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.0 * Z(4) + -0.25 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.08724389564847751) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.011836385549881461) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-1.047686382723164) q[1];
rx(1.1987979393789188) q[1];
rz(-0.44952800909731894) q[3];
cx q[0], q[3... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(1.5708) q[3], 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqu... | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIIZ",
"ZZIII",
"IZZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
-0.25,
-1.5,
-1.25,
1.75,
-1.75,
-2.75,
1.25,
-0.25,
-0.75,
0,
-0.25
] | 0.891714 | [
-0.08724389564847751,
0.011836385549881461,
-0.44952800909731894,
-0.29147368059620293,
0.7280283660373118,
0.7662136357667987,
-1.047686382723164,
-0.36229933156876115,
-0.0461740530584128,
1.1987979393789185,
0.02516654379014708,
-0.005014422258785183,
-0.30548343106272147,
-1.1670616733... | {
"n_parameters": 19,
"n_qubits": 5,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 500 |
646c4ffdec7c3b688313fcfec6df6ea9 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 1}, {"source": 3, "target": 4}]} | {"states": [14267, 14259], "expectation_value": -7.612797041915288, "params": [[[1.1467, 0.0048000000000000004], [3.145, 0.0061], [3.1457, 0.0047], [1.1427, 0.0091], [2.9556, 0.0023], [3.1390000000000002, 0.009000000000000001], [3.1448, 0.0032], [1.6976, 0.0], [1.4642000000000002, 0.0043], [3.1444, 0.006800000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 1 | 15 | 1 | {"smallest_eigenvalues": [-9.499999999999973], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.499999999999968, "smallest_bitstrings": ["100100001001100"], "largest_eigenvalue": 28.50000000000018} | 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] 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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIZI",
"IIIIIIIZZIIIIII",
"IIIIIIZIIIIIZII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1.25,
1.25,
1.25,
1.25,
1.25,
1.25,
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 |
b426b8aff164c6823b185eb6b091738d | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 4, "target": 3}, {"source": ... | {"states": [23, 7], "expectation_value": -0.4598857457999891, "params": [[[0.4258, -0.0868], [0.5014000000000001, -0.0874], [0.4269, 0.0853], [0.5598000000000001, -0.009000000000000001], [0.5704, 0.0086], [0.5634, -0.0064]], [[0.4168, -0.0868], [0.49660000000000004, -0.0874], [0.42450000000000004, 0.0853], [0.5603, 0.0... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 1 | 6 | 3 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(3.146586182667847) q[0];
rz(-0.4960671937553839) q[0];
ry(-0.1292922814490114) q[1];
rz(-0.6985758714498361) q[1];
cz q[1], q[0];
ry(0.043070532367504924) q[1];
ry(-0.04475695876475132) q[2];
rz(0.6631600359423698) q[2];
ry(0.5756435583956447) q[3];
rz(-0.14283149628... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
2,
2,
1.75,
2,
2,
1.75,
2,
1.75,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
-0.5
] | 0.988667 | [
3.146586182667847,
-0.4960671937553839,
-0.1292922814490114,
-0.6985758714498361,
-0.04475695876475132,
0.6631600359423698,
0.5756435583956447,
-0.14283149628386937,
0.09442180069266345,
2.7246196860446945,
0.021535266183752462,
3.2207334379454498,
-1.152313102082496,
-0.5291711248863585,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 27 |
-8858667612093038706 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[9, 4, 6], [10, 5, 6, 7], [0, 2, 7], [0, 1, 3, 4, 6, 7, 10], [1, 4, 5, 7, 8, 9], [0, 1, 3, 6, 8, 9, 10], [0, 3, 4, 5, 9, 10], [0, 6, 7, 8, 10], [9, 6, 7], [1, 2, 4, 7, 8, 9, 10], [0, 2, 6], [1, 2, 3, 5, 6, 10], [0, 1, 2, 9], [8, 2, 5], [0, 2, 4]]} | {"states": [1598, 1662], "expectation_value": -3.1656965573530966, "params": [3.1397, 0.0099, 3.1388000000000003, 0.006900000000000001, 0.6867000000000001, 0.0047, 0.6305000000000001, 0.0048000000000000004, 1.6475000000000002, 0.008700000000000001, 3.1399000000000004, 0.0074, 3.1434, 0.0028, 3.1397, 0.0097, 2.0682, 0.0... | 0.2571428571428571 * (Z(10) @ Z(5)) + 0.19047619047619047 * (Z(7) @ Z(5)) + 0.3571428571428571 * (Z(7) @ Z(10)) + 0.08095238095238094 * (Z(2) @ Z(5)) + 0.08095238095238094 * (Z(2) @ Z(10)) + 0.21428571428571425 * (Z(2) @ Z(7)) + 0.06666666666666667 * (Z(6) @ Z(5)) + 0.06666666666666667 * (Z(6) @ Z(10)) + 0.116666666666... | 16 | 11 | 1 | {"smallest_eigenvalues": [-3.659523809523809], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5595238095238084, "smallest_bitstrings": ["00110000001"], "largest_eigenvalue": 14.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-3.138758899500777) q[0];
rz(0.1666560648468538) q[0];
rx(3.1009924071991546) q[1];
rz(0.29182647822239294) q[1];
cx q[1], q[0];
rz(-0.23411944451404365) q[0];
cx q[1], q[0];
rz(0.0545502085830719) q[1];
rx(0.3749481168615925) q[2];
rz(0.195333570628621) q[2];
rx(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIZIIIII",
"IIIZIZIIIII",
"ZIIZIIIIIII",
"IIIIIZIIZII",
"ZIIIIIIIZII",
"IIIZIIIIZII",
"IIIIZZIIIII",
"ZIIIZIIIIII",
"IIIZZIIIIII",
"IIIIZIIIZII",
"IIZIIZIIIII",
"ZIZIIIIIIII",
"IIZZIIIIIII",
"IIZIIIIIZII",
"IIZIZIIIIII",
"IIIIIZIIIIZ",
"ZIIIIIIIIIZ",
"IIIZIIIIIIZ",
"IIIIIIIIZ... | [
0.2571428571428571,
0.19047619047619047,
0.3571428571428571,
0.08095238095238094,
0.08095238095238094,
0.21428571428571425,
0.06666666666666667,
0.06666666666666667,
0.11666666666666667,
0.15,
0.08095238095238094,
0.2238095238095238,
0.32380952380952377,
0.18095238095238095,
0.1166666666... | 0.971958 | [
3.1444264076788095,
-0.0674633796671894,
3.1009924071991546,
0.29182647822239294,
0.3749481168615926,
0.1917404985819763,
-0.019584677350039742,
0.6855552842326663,
2.0808919284947307,
-0.07202803264626156,
2.8386568941644432,
0.4328919470082129,
3.24762507802901,
-0.4306781696312188,
0.... | {
"n_parameters": 29,
"n_qubits": 11,
"optimal_eigenvalue": -3.659523809523809,
"target_ratio": 0.97,
"target_value": -3.549738095238095
} | 15 |
e5ad9c08c01c1ebe8aa9222d011acce6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 5, "source": 2, "target": 4}, {"capaci... | {"states": [46, 31], "expectation_value": -1.683418406310601, "params": [[-0.0816, -0.0727, -0.08510000000000001], [0.08030000000000001, 0.07, 0.0761]], "bitstrings": ["010001", "100000"], "total_optimization_steps": 10, "probabilities": [0.03312003274349947, 0.039238335140558356], "optimization_time": 2.52418303489685... | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -1.25 * (Z(2) @ Z(4)) + -1.75 * (Z(3) @ Z(4)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(5) + 0.0 * Z(4) + 1.25 * Z(2) + -0.75 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.26563194476290347) q[0];
h q[1];
ry(0.46063529140043846) q[1];
h q[2];
ry(0.4160543927876555) q[2];
h q[3];
h q[4];
cx q[4], q[2];
ry(-0.4160543927876555) q[2];
cx q[4], q[2];
ry(1.6498259376990079) q[4];
cx q[3], q[4];
ry(-1.6498259376990079) q[4];
cx q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"ZIIIZI",
"ZIIIIZ",
"IZIIZI",
"ZZIIII",
"IZIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IZIIII",
"IIIZII",
"IIZIII"
] | [
-0.25,
-1,
0.5,
-0.25,
-0.25,
-1.25,
-1.75,
0.5,
-0.25,
-0.75,
0,
1.25,
-0.75
] | 0.970728 | [
0.832108785575311,
3.2996518753980157,
0.9212705828008769,
0.03287511214956562,
3.394820406287191,
-2.3713296475445462,
0.9130008242406561,
-0.23955336433664093,
-0.5312638895258069,
0.3015182015816523,
-0.7704132928114164,
0.6044840534319791,
-0.026283715182854293,
-0.836787649712148,
-... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 236 |
-7609944322478908394 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 8, 6], [0, 4, 5], [9, 2], [8, 4, 6], [9, 6, 7], [1, 2, 4], [0, 8, 9], [8, 1, 6], [0, 8, 2, 3], [9, 3], [0, 3, 7], [2, 6], [1, 4, 5, 9], [3, 6, 7], [0, 1, 2, 8], [2, 4, 5, 7], [8, 3, 6], [3, 4], [0, 9, 1, 7], [0, 1, 6], [0, 1, 5, 8]]} | {"states": [813, 982], "expectation_value": -2.5330633174086405, "params": [[0.27], [-0.2762]], "bitstrings": ["0011010010", "0000101001"], "total_optimization_steps": 30, "probabilities": [0.004633341545486294, 0.005044202732067965], "optimization_time": 5.478005409240723} | 0.5833333333333333 * (Z(0) @ Z(8)) + 0.6666666666666666 * (Z(6) @ Z(8)) + 0.3333333333333333 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.25 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(5) @ Z(4))... | 1 | 10 | 1 | {"smallest_eigenvalues": [-5.333333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.166666666666668, "smallest_bitstrings": ["0000101001"], "largest_eigenvalue": 19.000000000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[8], q[0];
rz(1.3600667065842125) q[0];
cx q[8], q[0];
cx q[8], q[6];
rz(1.0846293034810719e-08) q[6];
cx q[8], q[6];
cx q[0], q[6];
rz(2.7598168420936908e-08) q[6];
cx q[0], q[6];
cx q[8], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIIIZ",
"IZIZIIIIII",
"IIIZIIIIIZ",
"IZIIIZIIII",
"IIIIIZIIIZ",
"IIIZIZIIII",
"IZIIZIIIII",
"IIIIZIIIIZ",
"IIIIZZIIII",
"ZZIIIIIIII",
"ZIIIIIIIIZ",
"ZIIZIIIIII",
"ZIIIIZIIII",
"ZIIIZIIIII",
"IZIIIIIZII",
"IIIIIIIZIZ",
"IIIZIIIZII",
"IIIIIZIZII",
"IIIIZIIZII",
"ZIIIIIIZII"... | [
0.5833333333333333,
0.6666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.25,
0.3333333333333333,
0.16666666666666666,
0.25,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.166... | 0.933783 | [
1.3600667065842125,
1.0846293034810719e-8,
2.7598168420936908e-8,
-1.5329258383195595e-8,
-5.246520186369417e-9,
1.2959881801924525e-8,
1.782759198099402e-8,
-1.1165568290599268e-7,
-1.5707962963573323,
1.5707962585897473,
1.5707962692343886,
1.5707964066401627,
-1.5707962882911524,
1.5707... | {
"n_parameters": 16,
"n_qubits": 10,
"optimal_eigenvalue": -5.333333333333332,
"target_ratio": 0.97,
"target_value": -5.173333333333332
} | 431 |
9e72b7dd0d69a46b7f007aaed5517323 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}]} | {"states": [22, 19], "expectation_value": -2.989065658799344, "params": null, "bitstrings": ["101001", "101100"], "total_optimization_steps": 29, "probabilities": [0.06023624493004092, 0.8645378003122703], "optimization_time": 22.616657733917236} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["011100", "011001", "101001", "101100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(1.5706415412178192) q[0];
ry(0.17738065745091058) q[0];
rz(-1.2289331769937306) q[0];
rz(-2.0064394391485636) q[1];
ry(0.05195164644631841) q[1];
rz(1.6158226668893017) q[1];
rz(-1.4591808629773537) q[2];
ry(0.1438680830206584) q[2];
rz(1.3823592347405116) q[2];
rz(-... | null | 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... | [
"IIIIZZ",
"IIIZZI",
"IIZZII",
"ZIIZII",
"ZIZIII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1.5,
-0.5,
-0.5,
0
] | 0.981301 | [
0.1774500647835066,
0.3748855468174612,
0.04098849267156553,
-0.24415803312160173,
-0.24801868974247307,
-0.151177436467156,
1.6175791763168208,
-0.03242731533050097,
1.9188194167141894,
0.05578166470394768,
1.8647875584561593,
-0.06973403478083848,
-0.0000745897025684443,
-0.0331747529448... | {
"n_parameters": 24,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 16 |
1d5830a984622eead42a5eae40078f2f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 6}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [15, 78], "expectation_value": -3.9991050119628366, "params": null, "bitstrings": ["1110000", "0110001"], "total_optimization_steps": 34, "probabilities": [0.0655285222703876, 0.9338466720009756], "optimization_time": 26.515655279159546} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(6) + -0.5 * Z(0) + -1.5 * Z(2) + -1.0 * Z(1) + -0.5 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["1110000", "0110001"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(0.3489169545147741) q[0];
rz(0.19904142919526457) q[0];
ry(-0.010000419084834976) q[1];
ry(0.7018807777533977) q[2];
ry(0.1334916632691144) q[3];
ry(0.14345604641563403) q[4];
ry(-0.25925629263809963) q[5];
ry(-0.16211681254208915) q[6];
cx q[6], q[0];
rz(-0.19904142... | 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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"ZIIIIIZ",
"IIIIZIZ",
"IIIIZZI",
"IIIZZII",
"IIIZIZI",
"IZIIIZI",
"IIZIZII",
"ZIIIIII",
"IIIIIIZ",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-0.5,
-1.5,
-1,
-0.5,
0,
0
] | 0.983285 | [
0.3489169545147741,
-0.010000419084834976,
0.7018807777533977,
0.1334916632691144,
0.14345604641563403,
-0.25925629263809963,
-0.16211681254208915,
0.39808285839052915,
0.18678482838336213,
0.007416060566003385,
0.5559541478011963,
-0.11684483584027172,
0.269108552615918,
0.055465068797176... | {
"n_parameters": 77,
"n_qubits": 7,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 13 |
64a6a8fe1cb9ef7d229e464b8e6d867d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [25, 73], "expectation_value": -4.996398057800715, "params": null, "bitstrings": ["1100110", "0110110"], "total_optimization_steps": 27, "probabilities": [0.06635227146986615, 0.9303267354068143], "optimization_time": 21.5174663066864} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + -1.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(5) + -0.5 * Z(3) + -1.0 * Z(1) + -1.5 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["0110011", "1100110", "0110110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.16841743971234358) q[0];
ry(1.2892812627798338) q[1];
ry(-0.11302438152906613) q[2];
ry(1.6502732747739643) q[3];
ry(0.9083430137360973) q[4];
ry(1.790089806621845) q[5];
ry(1.7807994336060335) q[6];
ry(0.5284374924457896) q[7];
ry(0.9772345018275379) q[8];
ry(-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[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IZIIZII",
"IZIIIIZ",
"IZIZIII",
"IIIZIZI",
"IIZIZII",
"IZZIIII",
"IIZIIZI",
"ZZIIIII",
"ZIIIIZI",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-2,
-0.5,
-1,
-1.5,
-1
] | 0.975954 | [
-0.16841743971234358,
1.2892812627798338,
-0.11302438152906613,
1.6502732747739643,
0.9083430137360973,
1.790089806621845,
1.7807994336060335,
0.5284374924457896,
0.9772345018275379,
-0.030382814018180833,
0.8033327363866123,
0.030307390735139814,
1.1224050936469687,
-0.13885941199831134,
... | {
"n_parameters": 33,
"n_qubits": 11,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 33 |
156ca4a9eb9bc4d43be6672c4dc6f353 | 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": [571, 569], "expectation_value": -81.9805782328493, "params": [1.4993, 0.3209, 0.4534, 0.5645, 0.0034000000000000002, -0.7464000000000001, 0.0031000000000000003, 1.0429000000000002, 1.5035, 0.0022, 1.4882, 0.0007, 1.5005000000000002, 0.2255, 0.6209, 0.46340000000000003, 0.7699, -0.3935, 1.4937, 0.0023, 1.498... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(6) @ Z(1)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(8) @ Z(0)) + 6.0 * (Z(8) @ Z(5)) + 6.0 * (Z(9) @ Z(8)) + 6.0 * (Z(2) @ Z(9)) + 4.0 * Z(1) + 14.0 * Z(0) + -5.0 * Z(3) + 9.0 * Z(4) + 8.... | 18 | 10 | 2 | {"smallest_eigenvalues": [-96.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["0111000110"], "largest_eigenvalue": 153.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.6298752518495596) q[0];
rz(0.3933769268157832) q[0];
rx(0.2778596124829644) q[1];
rz(0.47798151142107753) q[1];
rx(-0.05026174315595532) q[2];
rz(-1.134157928985882) q[2];
rx(0.028578642058183924) q[3];
rz(1.0883700083489356) q[3];
rx(1.5337277648982452) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIZIIZIIII",
"IIIIZIIIIZ",
"IIZIZIIIII",
"IIIZIIIIZI",
"IIZZIIIIII",
"IIIZZIIIII",
"IZIIIIIIIZ",
"IZIIZIIIII",
"ZZIIIIIIII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIZIIII",
"IIZIIIIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IZIIIIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
4,
14,
-5,
9,
8.5,
21,
12,
11,
9,
-2
] | 0.970913 | [
1.6298752518495594,
0.3484377048201507,
0.2778596124829644,
0.47798151142107753,
-0.05026174315595532,
-1.134157928985882,
0.028578642058183924,
1.0883700083489356,
1.5337277648982452,
0.0002617744779805087,
1.3238960410565792,
0.16737134492955263,
1.8609148330395815,
0.061758117290975086,... | {
"n_parameters": 56,
"n_qubits": 10,
"optimal_eigenvalue": -96.5,
"target_ratio": 0.97,
"target_value": -93.605
} | 13 |
4c69a0d1058ca2b5155124f5da9aed6f | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "targ... | {"states": [16380, 16383], "expectation_value": -10.369333067154752, "params": [[-0.1983], [0.2364]], "bitstrings": ["00000000000011", "00000000000000"], "total_optimization_steps": 30, "probabilities": [0.0023279569724354893, 0.0023279569724354893], "optimization_time": 25.396234273910522} | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(6)) + -2.0 * (Z(8) @ Z(9)) + 1.0 * (Z(10) @ Z(9)) + -2... | 10 | 14 | 1 | {"smallest_eigenvalues": [-29.000000000000078], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.999999999999872, "smallest_bitstrings": ["00000000000000"], "largest_eigenvalue": 27.0000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
ry(-0.2321540295805606) q[0];
ry(0.040321223938922436) q[1];
ry(0.10789455144993074) q[2];
ry(0.0456422052998319) q[3];
ry(-0.10500818755316749) q[4];
ry(0.04753548721558893) q[5];
ry(-0.0026987576415349462) q[6];
ry(-0.06041268536309996) q[7];
ry(-0.10758765899319159)... | 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[14] c;
qubit[14] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
cx q[1], q[0];
rz(x0) ... | {"node": 14} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZZ",
"IIIIIIIIIIIZZI",
"IIIIIIIIIIIZIZ",
"IIIIIIIIIIZIZI",
"IIIIIIIIIIZIIZ",
"IIIIIIIIIIZZII",
"IIIIIIIIZZIIII",
"IIIIIIIZZIIIII",
"IIIIIIIZIZIIII",
"IIIIIIZIZIIIII",
"IIIIIIZIIZIIII",
"IIIIIIZZIIIIII",
"IIIIZZIIIIIIII",
"IIIZZIIIIIIIII",
"IIIZIZIIIIIIII",
"IIZIZIIIIIIIII"... | [
-2,
1,
-2,
-2,
1,
-2,
-1.5,
-2,
-2,
0.5,
0.5,
-2,
-2,
1,
-2,
-2,
-2,
-2,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.97209 | [
-0.2321540295805606,
0.040321223938922436,
0.10789455144993074,
0.0456422052998319,
-0.10500818755316749,
0.04753548721558893,
-0.0026987576415349462,
-0.06041268536309996,
-0.10758765899319159,
-0.3671684927647156,
0.05805208700523421,
-0.283887348583733,
-0.06266782586541639,
3.131778656... | {
"n_parameters": 25,
"n_qubits": 14,
"optimal_eigenvalue": -29.000000000000107,
"target_ratio": 0.97,
"target_value": -28.130000000000102
} | 25 |
75e38f85452ebc08ee898a0ac8b18be5 | 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": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target"... | {"states": [24, 5], "expectation_value": -1.113327647690677, "params": [[0.0742, 0.0713, 0.0679], [-0.076, -0.065, -0.0546]], "bitstrings": ["00111", "11010"], "total_optimization_steps": 10, "probabilities": [0.04212256369565958, 0.05158866946668053], "optimization_time": 3.8040287494659424} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(3) + -1.0 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["11010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-1.5895904143898432) q[0];
ry(-0.061831462572773416) q[1];
rz(-pi) q[1];
ry(-3.1211665634162276) q[2];
rz(-pi) q[2];
ry(-0.05067198498523348) q[3];
rz(-pi) q[3];
h q[4];
ry(1.4339466124722804) q[4];
cx q[4], q[3];
ry(0.12544642904227837) q[3];
cx q[4], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1,
-1.5,
-1
] | 0.997795 | [
-1.5895904143898432,
-1.4880487849715875,
-1.3946779127673847,
1.4339466124722804,
-0.25089285808455675,
0.23284724829810097,
0.08137959326879629,
-0.04183215850107143
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
ab38e7699e076f39debd51236acd2336 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [63, 31], "expectation_value": -0.26939428518742836, "params": [[-0.061000000000000006], [0.07440000000000001]], "bitstrings": ["000000", "100000"], "total_optimization_steps": 10, "probabilities": [0.01801746341852397, 0.0185317705706916], "optimization_time": 1.4130756855010986} | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.75 * (Z(2) @ Z(3)) + 0.75 * (Z(5) @ Z(0)) + -1.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + 1.0 * Z(1) + -0.25 * Z(0) + -1.5 * Z(3) + 0.75 * Z(4) + 0.75 * Z(2) + -0.75 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 7.75} | 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];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(1.7953384840481424e-08) q[0];
h q[0];
rx(-4.752371779122262e-08) q[1];
h q[1];
rx(1.7896803644321402) q[2];
h q[2];
rx(1.0850151974205464) 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;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IZIIZI",
"IZZIII",
"IIZZII",
"ZIIIIZ",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
-0.5,
-1.25,
-0.25,
-0.75,
-0.75,
0.75,
-1.25,
-0.25,
1,
-0.25,
-1.5,
0.75,
0.75,
-0.75
] | 0.333333 | [
1.7953384840481424e-8,
-4.752371779122262e-8,
1.7896803644321402,
1.0850151974205464,
-5.648034782545892e-8,
1.8402525196265138e-8,
-0.5321727826909078,
0.15155709060402683,
0.3534217240299965,
1.4110817758126415,
1.429681773746566,
1.053028979848131,
0.5840799006992541,
1.3143299830258015... | {
"n_parameters": 18,
"n_qubits": 6,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 325 |
dc8ac5f82febba9dcace181eb5c76eb3 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": ... | {"states": [7, 13], "expectation_value": -6.697771003850325, "params": null, "bitstrings": ["111000", "110010"], "total_optimization_steps": 55, "probabilities": [0.10896502576958948, 0.5967175913259242], "optimization_time": 62.00785565376282} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 18 | 6 | 2 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.009159858931667007) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.009159858931667007) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.009159858931667007) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.009159858931667007) q[4];
c... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
1.75,
1.75,
1.75,
1.75,
1.75,
2,
2,
1.75,
2,
2,
2,
2,
2,
2,
1.75,
-0.75,
-1,
-0.5,
-0.5,
-0.5,
-0.25
] | 0.813356 | [
0.009159858931667007,
0.12494940013551502,
-0.9996743752342083,
-1.0785898614158156,
0.2672658208067165,
1.0891742212764537,
-1.2802161128055969,
0.024697662159371404,
0.6853541264808383,
-0.33614577142982505,
-0.6001841465958335,
0.46393008337570263,
0.1161236905431224,
-0.536284086667138... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 415 |
5bfd79024282ae69c62758a244a2de56 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [9, 12], "expectation_value": -2.4551628339052805, "params": null, "bitstrings": ["110110", "110011"], "total_optimization_steps": 18, "probabilities": [0.05733133303541498, 0.9026320751736394], "optimization_time": 12.712612628936768} | 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(3) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -0.75 * Z(0) + -0.75 * Z(1) + 0.0 * Z(2) + -0.25 * Z(3) + -0.5 * Z(4) + -0.2... | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["111010", "110110", "110101", "110011"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(3.040705587759774) q[0];
ry(3.0322761206209288) q[0];
rz(0.23746657912877067) q[0];
rz(-0.5485384081350269) q[1];
ry(0.03463465039766057) q[1];
rz(1.8086014627808424) q[1];
rz(2.1740019225107847) q[2];
ry(2.742027400286282) q[2];
rz(-0.45482682963069987) q[2];
rz(0.8... | 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... | [
"IIIIZZ",
"IIIZIZ",
"IIIZZI",
"IIIZZZ",
"IZZIII",
"IIZZII",
"ZIIZII",
"ZIZIII",
"ZIZZII",
"ZZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.75,
-0.75,
0,
-0.25,
-0.5,
-0.25
] | 0.974004 | [
1.0529037450256176,
0.06477150500217821,
0.0632023087334098,
0.46017332254292537,
1.2192432119969236,
0.14088225722938502,
1.1314918741657554,
-0.05745195682464036,
-0.04240668812804869,
-0.5477397576739919,
-0.046155027306700576,
-0.6332603826055265,
1.1415462481792484,
-0.100403553526293... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 15 |
83ee17d45f4b1b4c4df32a71ac5dcbf5 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5},... | {"states": [2047, 2044], "expectation_value": -0.4143442660118159, "params": [[0.0536], [-0.0478]], "bitstrings": ["00000000000", "00000000011"], "total_optimization_steps": 10, "probabilities": [0.0006316626715341338, 0.0006316626715341339], "optimization_time": 2.3896310329437256} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + -1.5 * (Z(9) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(7) + ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-15.5, -15.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.5, "smallest_bitstrings": ["00000000000", "00000000011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(0.4221473262228334) q[0];
h q[1];
ry(0.00013682948572743005) q[1];
h q[2];
cx q[2], q[0];
ry(-0.4221473262228334) q[0];
cx q[2], q[0];
cx q[0], q[1];
ry(-0.00013682948572743005) q[1];
cx q[0], q[1];
ry(1.5205918504422462) q[0];
ry(0.1400869632096159) q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x1) q[2]... | {"node": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIIIZIZIII",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIIIZIIIIII",
"IIZIIIIII... | [
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.970371 | [
1.510972863157803,
0.8442946524456668,
1.127883024520171,
2.090448990478521,
0.39816540368245557,
-0.29075381705851094,
0.0002736589714548601,
1.5205918504422462,
-0.8169203021967969,
1.6434525345194626,
-0.04613129651062642,
0.5260015398617965,
0.13947822951482017,
1.777479153001183,
0.... | {
"n_parameters": 50,
"n_qubits": 11,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 267 |
35eda900f849f65d0cff23e7af228cca | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 4, "s... | {"states": [5, 1], "expectation_value": -2.187646670991853, "params": [[-0.0441, -0.0679, -0.030600000000000002], [0.045200000000000004, 0.0748, 0.0553]], "bitstrings": ["111111010", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0067093745618151375, 0.007426919165948501], "optimization_time": 6.8544... | -0.75 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(0)) + 1.75 * (Z(8) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-15.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7590292831518554) q[0];
h q[1];
ry(-1.5180585663037107) q[1];
h q[2];
ry(-1.5180585663037107) q[2];
h q[3];
ry(-1.5180585663037107) q[3];
ry(-0.03253979615737071) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.5180585663037107) q[5];
ry(-0.02565996005199503) q[6];
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[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"ZIIIIIIIZ",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IZIIIIIZI",
"IZIIIIZII",
"IZIIIZIII",
"IZIZIIIII",
"IIIIZIIZI",
"IIIIZZIII",
"ZIIIZIIII",
"IIIZZIIII",
"IIZIIIZII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
-0.75,
-0.75,
-0.5,
-0.25,
1.75,
-1,
-0.75,
-1.5,
-0.25,
-1,
-1,
-0.25,
-0.5,
-0.5,
-0.25,
-0.75,
-0.75,
-0.25,
0.25,
-0.25,
-1.75,
0.75,
1.5,
-0.75,
-1.25,
1,
0.5
] | 0.944216 | [
-1.5180585663037107,
1.570796361966778,
-0.8117670078046326,
-1.5057166941585869,
-1.5194764984840505,
-0.051319736517702254,
-0.06507967295787837,
-0.06507988172230492,
-0.05132031841585518
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -15.25,
"target_ratio": 0.97,
"target_value": -14.7925
} | 194 |
-3262654968474390693 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 4], [1, 2], [0, 4], [0, 1], [2, 3], [3, 5], [0, 5], [0, 2], [4, 5]]} | {"states": [38, 41], "expectation_value": -0.0960176368199003, "params": [[-0.07830000000000001], [0.07]], "bitstrings": ["011001", "010110"], "total_optimization_steps": 10, "probabilities": [0.017352771767296778, 0.017352771767296778], "optimization_time": 0.49097156524658203} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.5, "smallest_bitstrings": ["011001", "010110", "001001", "100110", "110110", "101001"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(-0.5595858060798309) q[2];
cx q[4], q[2];
cx q[2], q[1];
rz(-0.5595858060798309) q[1];
cx q[2], q[1];
cx q[4], q[0];
rz(-0.5595858060798309) q[0];
cx q[4], q[0];
cx q[2], q[0];
rz(-0.5595858060798309) q[0];
cx q[... | 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[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[2], q[0];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"IZIZII",
"IIIZZI",
"IZIIIZ",
"IIIZIZ",
"IIIIZZ",
"IIZZII",
"ZZIIII",
"ZIIIIZ",
"ZIZIII",
"IZIIII",
"IIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.527334 | [
-0.5595858060798309,
1.634004980744371e-8,
0.6688539335452777
] | {
"n_parameters": 3,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 105 |
aaa0b19e64bf3c35281517d1fd2e9593 | 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": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}]} | {"states": [9, 8], "expectation_value": -0.07316976406868506, "params": [[-0.07780000000000001], [0.07680000000000001]], "bitstrings": ["10110", "10111"], "total_optimization_steps": 10, "probabilities": [0.03313399802853316, 0.03389658606480954], "optimization_time": 1.925433874130249} | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(1)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3) @ Z(1... | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.125, "smallest_bitstrings": ["10111"], "largest_eigenvalue": 4.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3082490255491387) q[0];
cx q[1], q[0];
rz(-0.4813792428916286) q[0];
rx(-0.0708269652138156) q[0];
h q[2];
cx q[1], q[2];
rz(0.3082490255491387) q[2];
cx q[1], q[2];
rz(0.38370389231516544) q[1];
rx(-0.07082696521381568) q[1];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x1) q[2];
cx q[1], q[2];
cx q[4], q[1];... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"ZIIZI",
"IZIZI",
"ZIZII",
"IZZII",
"ZZIII",
"ZIZZI",
"IZZZI",
"ZZIZI",
"ZZZII",
"ZZZZI",
"IIIIZ",
"IIIZI",
"IIZII",
"ZIIII",
"IZIII"
] | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-1,
-0.125,
-0.625,
-0.625,
-0.625
] | 0.977854 | [
0.3082490255491387,
0.3837038923151648,
-0.48137924289163025,
0.26332802912302594,
-0.07082696521381564,
-0.3050505286502088,
0.5806483285648956,
0.6562418208675107,
0.7543675324261974,
-0.03625229813212085,
0.44867521434950836,
0.9051415988683418,
0.9758359490263386
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 18 |
9b8c0ccb32d0f88d964f624767035a96 | 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": 2, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [1, 9], "expectation_value": -11.499987376023428, "params": null, "bitstrings": ["11111110", "11110110"], "total_optimization_steps": 32, "probabilities": [1.2623237149556206e-05, 0.9999873766793562], "optimization_time": 33.7437310218811} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + 2.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + -0.75 * Z(6) + 0.75 * Z(2) + -1.0 * Z(3) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["11110110"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.39636875710932784) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.025445399608615533) q[2];
cx q[1], q[2];
rz(0.7435363741497949) q[1];
rx(1.5892963016699295) q[1];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.025383228227577177) q[4];
cx ... | 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",
"IIIZIIIZ",
"IZIIIIIZ",
"IIIIIZZI",
"IIIZZIII",
"IIIIZZII",
"IIZIIZII",
"IIZIZIII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-0.75,
-0.5,
-0.75,
-1.25,
-0.25,
-0.75,
-0.25,
-1.5,
2.25,
-0.75,
-1,
-0.25,
0.5,
-0.75,
0.75,
-1,
0.25,
1.5
] | 0.928057 | [
0.39636875710932784,
-0.025383228227577177,
-0.025445399608615533,
0.48494604258427165,
-0.12110685350730785,
-0.06267444957194843,
0.7435363741497948,
-0.5272969720301025,
0.8112275368431179,
0.6305407508444273,
-0.6721587925890405,
1.5892963016699295,
0.6494780915974173,
-0.0574263798070... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 500 |
ea6f28b1d52734982303edc3e4a649bb | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, ... | {"states": [224, 228], "expectation_value": -3.3565528613008686, "params": [0.634, 0.6408, 0.5671, 0.5640000000000001, 0.6704, 0.6472, 0.0028, -0.0037, -0.0063, -0.0035, 0.34290000000000004, 0.342, 0.0029000000000000002, 0.0063, 0.0036000000000000003, 0.0004, 0.6547000000000001, 0.42210000000000003, 0.5788, 0.5707, 0.5... | 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(0... | 13 | 8 | 3 | {"smallest_eigenvalues": [-3.625, -3.625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.625, "smallest_bitstrings": ["00011011", "10000111"], "largest_eigenvalue": 6.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.010579390403300512) q[0];
rz(0.5032633397346796) q[0];
ry(-0.16775742047494524) q[1];
rz(0.4239821625260418) q[1];
cx q[1], q[0];
ry(0.08641991018112673) q[0];
rz(0.8114268101915858) q[0];
ry(0.11118927672779633) q[1];
rz(-0.5652374082435947) q[1];
ry(0.30165731961... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIIZZIZ",
"IIIIZZZI",
"IIIIZZZZ",
"IIIZIIIZ",
"IIIZIIZI",
"IIZIIIZI",
"IIZZIIII",
"IIZZIIZI",
"IZIIIZII",
"ZIIIIZII",
"ZZIIIIII",
"ZZIIIZII",
"IIZIZIII",
"IIIIIIIZ",
"IIIIIIZ... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.125,
0.125,
0.125,
-0.125,
-0.25,
-0.25,
-0.75,
-0.75
] | 0.970089 | [
0.010579390403300512,
0.5032633397346796,
-0.16775742047494524,
0.4239821625260418,
0.30165731961222375,
-0.16334054591635155,
-0.08287043178903097,
-0.6586726372166358,
0.30175015715223785,
0.9393288219767209,
0.1699036987785315,
-0.04037235258249219,
-0.14445755865650717,
0.4806517596819... | {
"n_parameters": 55,
"n_qubits": 8,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 29 |
c3748fcc72302775c117f76c5c27415d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3},... | {"states": [2047, 2044], "expectation_value": -21.60184507318521, "params": [[[0.0025, 3.1594], [0.002, 0.0024000000000000002], [0.0018000000000000002, 0.0019], [0.0023, 0.002], [0.0019, 0.0023], [0.0027, 0.0028], [0.0031000000000000003, -0.0029000000000000002], [0.0018000000000000002, 0.0024000000000000002], [0.0023, ... | -1.5 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -1.5 * (Z(8) @ Z(6)) + -2.0... | 15 | 11 | 1 | {"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["00000000011"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.9204000552082084) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.6855551524422426) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.16026485847142066) q[2];
cx q[1], q[2];
rz(0.6855551524422426) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IIIIIIZIZII",
"IIIIZZIIIII",
"IIIZZIIIIII",
"IIIZIZIIIII",
"IIZIZIIIIII",
"IIZIIZIIIII",
"IIZZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIII... | [
-1.5,
-2.5,
-2.5,
0.5,
0.5,
-2.5,
0.5,
0.5,
-2.5,
0.5,
-2,
0.5,
-2,
-1.5,
-2,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.537659 | [
0.9204000552082084,
0.6855551524422426,
0.16026485847142066,
0.8249350301798807,
1.213701702713331,
0.982798648847242
] | {
"n_parameters": 6,
"n_qubits": 11,
"optimal_eigenvalue": -23.5,
"target_ratio": 0.97,
"target_value": -22.794999999999998
} | 168 |
-5718511346561763600 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4], [1, 6, 7], [0, 1, 3], [2, 4, 6], [2, 3, 5, 6], [0, 4, 6, 7], [0, 2, 6, 7], [0, 5, 6], [1, 4]]} | {"states": [245, 242], "expectation_value": -1.2235049502860744, "params": [[-0.3609], [0.36410000000000003]], "bitstrings": ["00001010", "00001101"], "total_optimization_steps": 40, "probabilities": [0.013988566354662578, 0.01406705897771693], "optimization_time": 1.8681857585906982} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.25 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.3333333333333333 * (Z(7) @ Z(6)) + 0.08333333333333333 * (Z(0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.666666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.416666666666667, "smallest_bitstrings": ["00001101"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.9318844793969234) q[3];
cx q[4], q[3];
cx q[4], q[1];
rz(-0.9318844793969234) q[1];
cx q[4], q[1];
cx q[3], q[1];
rz(0.04773968883762164) q[1];
cx q[3], q[1];
h q[5];
h q[6];
cx q[4], q[6];
rz(-0.4110047545292... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIZZIII",
"IIIZIIZI",
"IIIIZIZI",
"IZIZIIII",
"IZIIZIII",
"IZIIIIZI",
"ZIIZIIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIZIIIZ",
"IIIIZIIZ",
"IIIIIIZZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIIZIZII",
"IIIIZZII",
"IZIIIZII",
"ZIIIIZII",
"IIIIIZIZ",
"IIZIZIII",
"IZZIIIII",
"IIZIIIIZ",
"IIZIIZI... | [
0.5,
0.5,
0.16666666666666666,
0.25,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,... | 0.622559 | [
-0.9318844793969234,
0.04773968883762164,
-0.4110047545292894,
0.022586796739165565,
-0.3930124507572784,
-0.0886209644276944,
-0.000838173168603635,
-1.214935704564932,
-1.4370214306523033,
-1.342857931481308,
0.897568605185349
] | {
"n_parameters": 11,
"n_qubits": 8,
"optimal_eigenvalue": -2.666666666666666,
"target_ratio": 0.97,
"target_value": -2.586666666666666
} | 250 |
cf37919d6a949ddf46d1ba52baad11a7 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [10, 3], "expectation_value": -17.859372242907636, "params": [[0.040400000000000005, 0.0102, 0.0118], [-0.0823, -0.0653, -0.058100000000000006]], "bitstrings": ["1110101", "1111100"], "total_optimization_steps": 10, "probabilities": [0.021955577772329423, 0.02315851703828778], "optimization_time": 8.88705039... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + 3... | 13 | 7 | 3 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.75, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.9710988307186401) q[0];
rz(-0.02891617297319593) q[0];
rx(0.01057020565881352) q[1];
rz(0.4201067776955153) q[1];
rx(0.17533459356932862) q[2];
rz(-0.2611102377168925) q[2];
rx(0.815311740040549) q[3];
rz(0.3185927358966159) q[3];
rx(0.02598770948038412) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
2.75,
3,
3,
2.75,
3,
3,
2.75,
3,
-10,
-10.25,
-10,
-10.25,
-10.25,
-9.25,
-9.5
] | 0.971532 | [
0.97109883071864,
0.1852350393243934,
0.01057020565881352,
0.4201067776955153,
0.17533459356932862,
-0.2611102377168925,
0.815311740040549,
0.3185927358966159,
0.02598770948038412,
0.4488470663552064,
0.8538907870390587,
-0.06192037117045744,
0.6391143778249074,
0.6360541241011217,
0.103... | {
"n_parameters": 144,
"n_qubits": 13,
"optimal_eigenvalue": -4.4375,
"target_ratio": 0.97,
"target_value": -4.304375
} | 17 |
3d2c4840fc401bce028fec43ca4ea0a2 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [1884, 1882], "expectation_value": -7.057852466269145, "params": [[-0.0373, -0.0164, -0.0574, -0.14250000000000002], [0.13540000000000002, 0.1413, 0.1187, 0.1419]], "bitstrings": ["00010100011", "00010100101"], "total_optimization_steps": 20, "probabilities": [0.0026532445378426458, 0.0026532445378426466], "... | 0.5 * (Z(0) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(0)) + 1.0 * (Z(1) @ Z(8)) + 0.8571428571428572 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(9)) + 0.5 * (Z(2) @ Z(8)) + 0.4285714285714286 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(9)) + 0.8571428571428572 * (Z(2) @ Z(1)) + -1.0 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(0)) + -1.0 * (Z... | 1 | 11 | 4 | {"smallest_eigenvalues": [-10.857142857142858, -10.857142857142858], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.857142857142856, "smallest_bitstrings": ["00010100101", "00010100011"], "largest_eigenvalue": 47.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[8], q[0];
rz(0.15782028983107857) q[0];
cx q[8], q[0];
h q[9];
cx q[8], q[9];
rz(0.36812915075286373) q[9];
cx q[8], q[9];
cx q[0], q[9];
cx q[8], q[1];
rz(0.36812915075286373) q[1];
cx q[8], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIZ",
"IZZIIIIIIII",
"IZIIIIIIIIZ",
"IIZIIIIIIZI",
"IIIIIIIIIZZ",
"IZIIIIIIIZI",
"IIZIIIIIZII",
"IIIIIIIIZIZ",
"IZIIIIIIZII",
"IIIIIIIIZZI",
"IIZIIZIIIII",
"IIIIIZIIIIZ",
"IZIIIZIIIII",
"IIIIIZIIIZI",
"IIIIIZIIZII",
"IIZIZIIIIII",
"IIIIZIIIIIZ",
"IZIIZIIIIII",
"IIIIZIIII... | [
0.5,
1,
0.5,
1,
0.8571428571428572,
1,
0.5,
0.4285714285714286,
0.5,
0.8571428571428572,
-1,
-0.5,
-1,
-1,
-0.5,
-2,
-1,
-2,
-2,
-1,
2,
-2,
-1,
-2,
-2,
-1,
2,
4,
-0.5,
-1,
0.8571428571428572,
-1,
0.2142857142857142,
-1,
0.4285714285714288,
0.2142... | 0.904037 | [
0.15782028983107857,
0.36812915075286373,
0.05367908482160037,
0.2464404202822934,
-0.04684657549976737,
0.042948120839398043,
-0.0008992340614827807,
-0.00236230102455015,
-1.2184746032078073,
1.3077127976608063,
-0.02531249096974855,
0.572218930085531,
-1.3081093294457733,
0.787084670344... | {
"n_parameters": 26,
"n_qubits": 11,
"optimal_eigenvalue": -10.857142857142858,
"target_ratio": 0.97,
"target_value": -10.531428571428572
} | 500 |
-6631759952784594763 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 7], [3, 6], [8, 2], [8, 7], [2, 6], [4, 6], [0, 4], [0, 7], [8, 3], [2, 4], [1, 2], [1, 7], [0, 1], [2, 5], [1, 4], [8, 1], [6, 7], [3, 4], [3, 7]]} | {"states": [114, 354], "expectation_value": -0.35717980108843894, "params": [0.7089000000000001, 0.0017000000000000001, 0.7040000000000001, 0.0056, 0.6997, 0.0033, 0.6994, 0.0012000000000000001, 0.7031000000000001, -0.0012000000000000001, 0.7049000000000001, 0.0092, 0.7003, 0.0006000000000000001, 0.7003, 0.0057, 0.7070... | 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["010011101", "100011101", "011100010", "101100010"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.036680584407896) q[0];
rz(1.7504760470755025) q[0];
rx(0.19052800081519886) q[1];
rz(1.4139030049034575) q[1];
rx(2.9519567583314443) q[2];
rz(1.1851358044895548) q[2];
rx(1.475702480565599) q[3];
rz(1.6854294728060264) q[3];
rx(1.3014555924233704) q[4];
rz(1.71102... | 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": []} | [
"IZIIZIIII",
"IZIIIZIII",
"IIIIZZIII",
"IZZIIIIII",
"IIZIZIIII",
"IIZIIZIII",
"ZZIIIIIII",
"ZIIIIZIII",
"IIIIZIZII",
"IIZIIIZII",
"ZIIIIIZII",
"IZIIIIIIZ",
"IIIIZIIIZ",
"IZIIIIIZI",
"IIIIZIIZI",
"ZIIIIIIZI",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIZIIZII",
"IZIIIIIII",
"IIIIZIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.970303 | [
1.036680584407896,
0.17967972028060578,
0.19052800081519888,
-0.15689332189143917,
2.9519567583314443,
-0.3856605223053421,
1.475702480565599,
0.11463314601113034,
1.3014555924233702,
0.14022736555212284,
0.42224791903122716,
0.3637802162865594,
-0.09973696288901585,
0.6639101647591305,
... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 83 |
e5ad9c08c01c1ebe8aa9222d011acce6 | min_cut | 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": 1}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 5, "source": 2, "target": 4}, {"capaci... | {"states": [0, 31], "expectation_value": -4.581849742975653, "params": [[[-0.0025, -0.4575], [-0.0036000000000000003, -0.0027], [0.0014, -0.002], [-0.0024000000000000002, -0.0025], [-0.0015, 0.1487], [1.6736, 0.0035]], [[0.3642, -1.5789], [-0.0014, 0.45830000000000004], [0.0024000000000000002, -0.0008], [-0.0027, -0.00... | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -1.25 * (Z(2) @ Z(4)) + -1.75 * (Z(3) @ Z(4)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(5) + 0.0 * Z(4) + 1.25 * Z(2) + -0.75 * Z(3) | 15 | 6 | 2 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.26563194476290347) q[0];
h q[1];
ry(0.46063529140043846) q[1];
h q[2];
ry(0.4160543927876555) q[2];
h q[3];
h q[4];
cx q[4], q[2];
ry(-0.4160543927876555) q[2];
cx q[4], q[2];
ry(1.6498259376990079) q[4];
cx q[3], q[4];
ry(-1.6498259376990079) q[4];
cx q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"ZIIIZI",
"ZIIIIZ",
"IZIIZI",
"ZZIIII",
"IZIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IZIIII",
"IIIZII",
"IIZIII"
] | [
-0.25,
-1,
0.5,
-0.25,
-0.25,
-1.25,
-1.75,
0.5,
-0.25,
-0.75,
0,
1.25,
-0.75
] | 0.970728 | [
0.832108785575311,
3.2996518753980157,
0.9212705828008769,
0.03287511214956562,
3.394820406287191,
-2.3713296475445462,
0.9130008242406561,
-0.23955336433664093,
-0.5312638895258069,
0.3015182015816523,
-0.7704132928114164,
0.6044840534319791,
-0.026283715182854293,
-0.836787649712148,
-... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 236 |
e88900ed7019a142b144e2072f00bcdb | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"sour... | {"states": [191, 189], "expectation_value": -2.582133467662201, "params": [-0.0018000000000000002, 0.008700000000000001, 1.6087, 0.0046, 0.1353, 0.0043, 1.6086, 0.004200000000000001, 1.6062, 0.007, 1.6006, 0.0017000000000000001, 1.6127, 0.0077, 1.5563, 0.0038, 1.5952000000000002, 0.0082, 0.0061, 0.0022, 0.0004, 0.0043,... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(8) @ Z(7)) + 0.0 * Z(3) + -1.5 * Z(0) + 0.0 * Z(4) + 0.0 * Z(5) + -1.0 * Z(7) + -1.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(8) | 3 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["101000001", "101000010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.10400383937805216) q[0];
rz(-0.4069045233585462) q[0];
rx(2.700523764850429) q[1];
rz(-0.2561381010846029) q[1];
rx(0.30186693180953467) q[2];
rz(1.0343031975732266) q[2];
rx(-3.0715241657190773) q[3];
rz(-0.1224379937764386) q[3];
rx(3.120763065444616) 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": []} | [
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IZIIIIIIZ",
"IZIIIIZII",
"IIIIIIZZI",
"IIZIIIZII",
"ZZIIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIZIIIIII",
"ZIIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1.5,
0,
0,
-1,
-1,
0,
0,
0
] | 0.972761 | [
0.10400383937805217,
-0.24221000609714896,
2.700523764850429,
0.12330051795904015,
0.30186693180953467,
0.4056531486681137,
3.2116611414605094,
-0.325264568110496,
3.120763065444616,
1.0142620733749683,
3.363767059582085,
-0.2012562650987079,
3.1743612262803986,
0.6694340858554964,
-0.17... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 24 |
-4619862998776359120 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 6], [1, 2, 3, 4], [0, 3, 5], [0, 2], [3, 4, 5], [2, 3, 5, 6]]} | {"states": [62, 58], "expectation_value": 0.200030479151681, "params": [0.6923, 0.0016, 0.6897, 0.0021000000000000003, 0.7103, -0.0025, 0.7080000000000001, 0.008, 0.6978000000000001, 0.0026000000000000003, 0.6957, 0.0073, 0.7053, 0.002, 0.7031000000000001, 0.0091, 0.6986, 0.0026000000000000003, 0.7028, 0.00420000000000... | 0.5 * (Z(1) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(6)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(... | 6 | 7 | 1 | {"smallest_eigenvalues": [-2.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9999999999999998, "smallest_bitstrings": ["1000101"], "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];
h q[6];
cx q[6], q[1];
rz(1.54236151491352) q[1];
cx q[6], q[1];
cx q[6], q[2];
rz(0.01581714487964365) q[2];
cx q[6], q[2];
cx q[1], q[2];
rz(0.01581714487964365) q[2];
cx q[1], q[2];
cx q[6], q[3];
rz(0.01581714487964365... | 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": []} | [
"ZIIIIZI",
"ZIIIZII",
"IIIIZZI",
"ZIIZIII",
"IIIZIZI",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IIZZIII",
"IIIIZIZ",
"IIIZIIZ",
"ZZIIIII",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"IZIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII"
] | [
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.25,
0.5,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.41666666666666663,
0.16666666666666666,
0.1666666666666666... | 0.723418 | [
1.54236151491352,
0.01581714487964365,
-0.014794011735081287,
0.3338608787371555,
0.04497897889293749,
0.0020050184640697495,
1.3924073482301014,
-0.5920263388055412,
1.535395392144066,
-0.8788385350192631
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -2.166666666666667,
"target_ratio": 0.97,
"target_value": -2.101666666666667
} | 236 |
087038e9edc1ea672825729ff4eba005 | 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": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6... | {"states": [32559, 32575], "expectation_value": -17.196135598435205, "params": [0.29510000000000003, 0.2954, 0.2985, 0.3045, 0.2988, 0.2985, 0.29960000000000003, 0.29860000000000003, 0.2936, 0.299, 0.3002, 0.2962, 0.298, 0.3029, -0.0044, -0.004, -0.12390000000000001, -0.1037, 0.3045, 0.3043, 0.3018, 0.2992, 0.2932, 0.2... | 0.5 * (Z(9) @ Z(11)) + 1.0 * (Z(12) @ Z(11)) + 0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(10) @ Z(11)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(12)) + -0.5 * (Z(0) @ Z(9)) + -0.5 * (Z(0) @ Z(10)) + -1.0 * (Z(1) @ Z(9)) + -1.0 * (Z(1) @ Z(10)) + 0.9090909090909091 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(9)) + -0.5 * (Z(2) @ Z(10)) + 0... | 14 | 15 | 4 | {"smallest_eigenvalues": [-20.27272727272695], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999854, "smallest_bitstrings": ["000000011000000"], "largest_eigenvalue": 36.90909090909097} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(2.8614287082955054) q[0];
rz(-0.4707583099811581) q[0];
rx(3.4155641567142934) q[1];
rz(0.7617627833178526) q[1];
rx(3.355608374216573) q[2];
rz(-0.7114090480604071) q[2];
rx(3.1031710721717287) q[3];
rz(-1.6856091863259048) q[3];
rx(3.298981659218298) q[4];
rz(-0.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIZIZIIIIIIIII",
"IIZZIIIIIIIIIII",
"IIZIIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"IIIIZZIIIIIIIII",
"IIZIZIIIIIIIIII",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIIZ",
"IIIIIZIIIIIIIZI",
"IIIIZIIIIIIIIZI",
"IIIIIIIIIIIIIZZ",
"IIIIIZIIIIIIZII",
"IIIIZIIIIIIIZII",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZZI",
"... | [
0.5,
1,
0.5,
0.5,
1,
0.5,
-0.5,
-0.5,
-1,
-1,
0.9090909090909091,
-0.5,
-0.5,
0.45454545454545453,
0.9090909090909091,
0.5,
0.5,
1,
1,
1,
0.9090909090909091,
0.45454545454545453,
-0.045454545454545456,
4.5,
1,
4.5,
1,
0.8181818181818181,
1.6363636363636362,
... | 0.9787 | [
2.8614287082955054,
0.09322718931803065,
3.4155641567142934,
0.7617627833178526,
3.355608374216573,
-0.7114090480604071,
3.1031710721717287,
-1.6856091863259048,
3.298981659218298,
-0.6650424839892606,
3.2225156967133604,
-0.880104913848808,
2.9895579168603836,
-0.7932929792033736,
0.084... | {
"n_parameters": 36,
"n_qubits": 15,
"optimal_eigenvalue": -20.27272727272695,
"target_ratio": 0.97,
"target_value": -19.66454545454514
} | 33 |
d5af6033ed988c3d3adf4d77cc0740e1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 4, "source": ... | {"states": [0, 2046], "expectation_value": -31.819941013438, "params": [[[0.0007, 0.8111], [0.0029000000000000002, 0.0001], [0.0023, 0.0022], [0.0022, 0.0023], [0.0019, 0.0023], [0.0021000000000000003, 0.0023], [0.0025, 0.0027], [0.0015, 0.0024000000000000002], [0.0022, 0.0028], [0.0028, 0.0028], [0.0033, 0.00210000000... | -0.5 * (Z(0) @ Z(5)) + -1.25 * (Z(10) @ Z(5)) + -0.75 * (Z(10) @ Z(0)) + -0.75 * (Z(11) @ Z(5)) + -1.0 * (Z(11) @ Z(0)) + -0.75 * (Z(11) @ Z(10)) + 2.5 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(10)) + -0.5 * (Z(3) @ Z(11)) + -2.75 * (Z(1) @ Z(5)) + -1.5 * (Z(1) @ Z(11)) + -1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(10)) + -1.75 *... | 15 | 12 | 2 | {"smallest_eigenvalues": [-33.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.25, "smallest_bitstrings": ["100000000001"], "largest_eigenvalue": 39.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.019022462433842355) q[0];
ry(-0.025814867148200592) q[1];
ry(0.029327525438741314) q[2];
ry(0.02957521258773068) q[3];
ry(0.05341585094451613) q[4];
ry(-0.0029924959916479282) q[5];
ry(0.04885234786592853) q[6];
ry(-0.025038066601343924) q[7];
ry(0.02957521258773... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIZ",
"IZIIIIZIIIII",
"IZIIIIIIIIIZ",
"ZIIIIIZIIIII",
"ZIIIIIIIIIIZ",
"ZZIIIIIIIIII",
"IIIIIIIIZIIZ",
"IZIIIIIIZIII",
"ZIIIIIIIZIII",
"IIIIIIZIIIZI",
"ZIIIIIIIIIZI",
"IIIIIZZIIIII",
"IZIIIZIIIIII",
"IIIIIZIIIIZI",
"IIIIZIZIIIII",
"IZIIZIIIIIII",
"IIIIZIIIZIII",
"IIIIZIIII... | [
-0.5,
-1.25,
-0.75,
-0.75,
-1,
-0.75,
2.5,
-1,
-0.5,
-2.75,
-1.5,
-1,
-0.5,
-1.75,
-1,
-0.25,
-1.25,
-1.25,
-0.5,
-1.25,
-1.25,
-1.25,
-1,
-0.25,
-0.25,
-1.25,
-0.5,
-1,
-0.75,
-0.25,
-1,
-0.25,
-0.75,
-1.75,
-1.75,
1.75,
-0.25,
1.75,
-3.75... | 0.974964 | [
-0.019022462433842355,
-0.025814867148200592,
0.029327525438741314,
0.02957521258773068,
0.05341585094451613,
-0.0029924959916479282,
0.04885234786592853,
-0.025038066601343924,
-0.0575749096132404,
-0.05511915873000306,
1.167652366325898,
0.20365428131954275,
0.05185492947936527,
-0.04641... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -33.25,
"target_ratio": 0.97,
"target_value": -32.2525
} | 19 |
f06cfa431b1d21951bd72bdc4807e338 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [24, 27], "expectation_value": -4.499934073599166, "params": null, "bitstrings": ["100111", "100100"], "total_optimization_steps": 25, "probabilities": [1.383409073205191e-05, 0.999948183846146], "optimization_time": 15.007214069366455} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(1) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100100"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.04358228463512977) q[0];
cx q[2], q[0];
rz(0.629790216378117) q[2];
rx(-0.6836283096730165) q[2];
h q[3];
cx q[0], q[3];
rz(-0.04358228463512977) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(-0.04358228463512977) q[4];
cx q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"ZIIIIZ",
"ZIZIII",
"IIZIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1.5,
-1.5,
-0.5,
-0.5,
0
] | 0.987514 | [
-0.04358228463512977,
0.6297902163781169,
-1.038896045838605,
0.8898531274270675,
-0.6836283096730164,
0.08270608385341727,
-0.4891641665369492,
0.3380455981667369,
-1.2087704809257387,
1.2365945368731672,
-0.5651441507024032,
-0.44988414168676605,
-0.273403240245268
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 23 |
0d4975981166b2874d2e3fb8df49ba97 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 1, "source": 0, "t... | {"states": [246, 214], "expectation_value": -9.56806878912819, "params": [[-0.0449], [0.0731]], "bitstrings": ["100001001", "100101001"], "total_optimization_steps": 10, "probabilities": [0.004035172377667216, 0.005013098295700713], "optimization_time": 1.7258045673370361} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(8)) + 14.0 * Z(1) + 0.5 * Z(0) + 18.5 * Z(4) + 13.5 * Z(2) + 7... | 1 | 9 | 1 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 130.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-1.162757405416695) q[0];
ry(-2.0563557565526267) q[1];
rz(-pi) q[1];
h q[2];
ry(64.29142043296271) q[2];
cx q[2], q[1];
ry(0.09694622257236636) q[1];
cx q[2], q[1];
ry(9.39298353706952) q[2];
cx q[1], q[2];
ry(-9.39298353706952) q[2];
cx q[1], q[2];
ry(0.173... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIIIZZII",
"IIIZIIIZI",
"IIIZZIIII",
"IIZZIIIII",
"ZIZIIIIII",
"IZIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"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,
14,
0.5,
18.5,
13.5,
7.5,
5,
7.5,
2.5,
7
] | 0.970603 | [
0.0532888134221188,
63.41435872412596,
64.29142043296271,
1.8613625272880303,
-0.19389244514473272,
18.78596707413904,
1.3280109631111439,
0.34751548818583144,
-0.22022091549443135,
-3.3690305503862925,
-0.10375331964482451,
-0.007905693228739755,
-0.2950197673207729,
0.8827595868957637,
... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -81,
"target_ratio": 0.97,
"target_value": -78.57
} | 113 |
b112e2ea9564e5424aa1ebbe167f5e45 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [7, 5], "expectation_value": -6.999999951634066, "params": null, "bitstrings": ["11111000", "11111010"], "total_optimization_steps": 22, "probabilities": [0.4999999779559535, 0.4999999779559535], "optimization_time": 16.32095217704773} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(4)) + 1.25 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(5)) + 0.0 * Z(1) + -0.25 * Z(0) + -0.5 * Z(3) + 1.75 * Z(5) + -1.0 * Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["11111010", "11111000"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.18819774766479871) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.18819774766479871) q[2];
cx q[1], q[2];
rz(0.9557972396968015) q[1];
rx(1.563801549934994) q[1];
h q[3];
cx q[0], q[3];
rz(0.4061575429734188) q[3];
cx q[0], q[3];
h ... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIZIII",
"IIIIIZZI",
"IIZIIZII",
"IIIZZIII",
"IZZIIIII",
"IZIZIIII",
"ZIIIIIIZ",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
1.25,
-0.5,
0,
-0.25,
-0.5,
1.75,
-1,
-0.75,
0,
0.75
] | 0.90226 | [
0.18819774766479871,
0.4061575429734188,
-0.39507107261197827,
0.9557972396968014,
-0.4899844130103013,
0.8080302961898232,
0.8568281505616694,
-0.9522092767684763,
1.563801549934994,
0.3638837016850933,
0.5115046122872459,
-0.8854963185030021,
-2.014006815333632,
1.414161618397495,
1.20... | {
"n_parameters": 17,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 383 |
da3c81488557dc57e6e1f0bd43d65336 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [42, 41], "expectation_value": -2.999862368845878, "params": null, "bitstrings": ["010101", "010110"], "total_optimization_steps": 28, "probabilities": [1.7185116648684505e-05, 0.9999311603755043], "optimization_time": 18.359073638916016} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["010110", "101001"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(2.867085271407469) q[0];
rz(0.3043059900979084) q[0];
rx(0.09235165757558533) q[1];
rz(0.9535806604362476) q[1];
rx(-0.1119442096811765) q[2];
rz(1.1846710426102411) q[2];
rx(3.0988563508695517) q[3];
rz(0.5841200851268177) q[3];
rx(0.14325937118774348) q[4];
rz(-1.0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.4449) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IZIIIZ",
"IIIZZI",
"IIZZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.983007 | [
2.867085271407469,
0.3043059900979084,
0.09235165757558533,
0.9535806604362476,
-0.1119442096811765,
1.1846710426102411,
3.0988563508695517,
0.5841200851268177,
0.14325937118774348,
-1.0539834988881036,
3.200641439537315,
0.13258606659300243
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 12 |
9d1382902993d8e771af3489e0021226 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [242, 250], "expectation_value": -2.500733740931716, "params": [0.19640000000000002, 0.4373, 0.9925, 0.0098, 0.9988, 0.028300000000000002, 0.9963000000000001, 0.0013000000000000002, 0.9942000000000001, -0.0122, 0.5725, 0.040100000000000004, 0.0026000000000000003, 0.5048, 0.9989, 0.24350000000000002, 0.097300... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 18 | 9 | 3 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.125, "smallest_bitstrings": ["100000101", "010010001", "000101100", "010001010"], "largest_eigenvalue": 5.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.5734866058128874) q[0];
ry(-3.049185198245095) q[1];
rz(-pi) q[1];
h q[2];
ry(1.356383431000579) q[2];
cx q[2], q[1];
ry(-0.11338480721692776) q[1];
cx q[2], q[1];
ry(0.08622704143012419) q[2];
rz(-pi) q[3];
ry(-0.08286575263427674) q[3];
ry(-0.06072020170... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIZZIIIZ",
"IIZIIIIZI",
"IIZIZIIII",
"IZIIZIIII",
"IZZIIIIII",
"IZZIZIIII",
"IIIZIIZII",
"... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
-0.125,
0.125,
0.125,
0,
0,
-0.25,
0,
0
] | 0.994348 | [
-1.5734866058128874,
-1.636888113613539,
-1.4874054263622778,
1.356383431000579,
1.3650040642332704,
-0.04534139745877805,
0.22676961443385552,
-0.02917844896579387,
0.17245408286024838,
-0.03354793163126881,
0.029471096484107714,
0.07208817537219585,
0.1322483325046339,
-0.092611818275263... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
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": -0.09433794141477218, "params": [[0.0577], [-0.0465]], "bitstrings": ["1001100", "1011100"], "total_optimization_steps": 10, "probabilities": [0.00849595643951467, 0.008540582482928175], "optimization_time": 1.767807960510254} | -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 | 1 | {"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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
c... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"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 |
014aa6382d0a3729060055c7790c69a9 | 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": [335, 334], "expectation_value": -80.17288514946671, "params": [0.0026000000000000003, 0.0035, 2.8983000000000003, 0.0027, 0.002, 0.0053, 2.8914, 0.0032, 1.0012, 0.0073, -0.0024000000000000002, 0.0043, 2.8970000000000002, 0.0085, 2.8804000000000003, 0.0097, 2.8955, 0.0001, 1.472, 0.0026000000000000003, 0.008... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(9) @ Z(6)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(7) @ Z(9)) + 6.5 * (Z(8) @ Z(6)) + 6.5 * (Z(8) @ Z(9)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(2) @ Z(8)) + -2.5 * Z(0) + 6.5 * Z(1) + 4.5 * Z(4) + 7.5 * Z(3) + 15.5 * Z(6) + 11.0 * Z(9)... | 18 | 10 | 1 | {"smallest_eigenvalues": [-93.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.0, "smallest_bitstrings": ["1010110001"], "largest_eigenvalue": 163.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.006962072345543177) q[0];
rz(1.255482587936191) q[0];
rx(1.3514118247956939) q[1];
rz(0.10213896142664641) q[1];
rx(0.05760329659842294) q[2];
rz(0.6543635936983784) q[2];
rx(1.561836649932347) q[3];
rz(0.41105401566340355) q[3];
rx(0.26386122914339943) 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, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIZZIII",
"ZIIZIIIIII",
"IIZIIIZIII",
"IIZZIIIIII",
"ZIZIIIIIII",
"IZIZIIIIII",
"ZZIIIIIIII",
"IZZIIIIIII",
"IZIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"IIIIIIIZII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
-2.5,
6.5,
4.5,
7.5,
15.5,
11,
18.5,
23,
-4,
-11.5
] | 0.975301 | [
-0.006962072345543177,
0.8413057525603193,
1.3514118247956939,
0.10213896142664641,
0.05760329659842294,
0.6543635936983784,
1.561836649932347,
0.41105401566340355,
0.26386122914339943,
0.809810408890402,
0.026938267026621707,
1.3317172162074704,
1.712565923554656,
0.03294425392800814,
1... | {
"n_parameters": 56,
"n_qubits": 10,
"optimal_eigenvalue": -93,
"target_ratio": 0.97,
"target_value": -90.21
} | 10 |
627b6f3a98f95fde2108fd86312a5752 | 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}, {"id": 15}, {"id": 16}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target":... | {"states": [65528, 65535], "expectation_value": -24.06422632694101, "params": [-0.0032, 0.3302, 0.0021000000000000003, 0.2917, 1.5243, -0.0034000000000000002, -0.0004, 0.21050000000000002, 0.0051, -0.0007, -1.5216, -0.0033, 0.1042, -0.0021000000000000003, 1.8027000000000002, 0.0031000000000000003, -2.4554, -0.0028, 0.0... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + -1.5 * (Z(9) @ Z(10)) + -1.0 * (Z(11) @ Z(12)) + -1.5 * (Z(13) @ Z(14)) + -1.5 * (Z(15) @ Z(14)) + -1.5 * (Z(15) @... | 4 | 16 | 1 | {"smallest_eigenvalues": [-25.500000000000036], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.499999999999844, "smallest_bitstrings": ["0000000000000000"], "largest_eigenvalue": 14.500000000000032} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(-0.013304925217269573) q[0];
rz(1.8808914671094072) q[0];
rx(0.1457649571731346) q[1];
rz(1.5519765532084246) q[1];
rx(1.7211918571004703) q[2];
rz(1.5997573670205272) q[2];
rx(-0.05686781103245522) q[3];
rz(1.8345675034976487) q[3];
rx(0.07613754586500195) 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": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIZZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIIZIZIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIZZIIIIIII",
"IIIIIIIZIZIIIIII",
"IIIIIZZIIIIIIIII",
"IIIZZIIIIIIIIIII",
"IZZIIIIIIIIIIIII",
"ZZIIIIIIIIIIIIII",
"ZIZIIIIIIIIIIIII",
"IIIIIII... | [
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
-1,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970024 | [
-0.013304925217269573,
0.31009514031451163,
0.14576495717313462,
-0.01881977358647187,
1.7211918571004703,
0.028961040225630775,
-0.05686781103245522,
0.26377117670275274,
0.07613754586500195,
-0.08908348044079104,
-1.4642179324066955,
0.16308871842833922,
-0.09629890299097582,
0.087448231... | {
"n_parameters": 45,
"n_qubits": 16,
"optimal_eigenvalue": -25.500000000000036,
"target_ratio": 0.97,
"target_value": -24.735000000000035
} | 8 |
6560067630344918254 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 3, 1], [0, 2], [3, 4], [0, 5], [4, 6], [4, 7], [8, 4]]} | {"states": [865, 801], "expectation_value": -0.6534641109380622, "params": [0.6995, 0.0171, 0.6957, 0.0004, 0.7036, 0.0373, 0.7042, 0.0076, 0.6994, -0.18560000000000001, 0.4788, 0.0063, 0.6957, -0.0853, 0.686, 0.0081, 0.7016, 0.0414, 0.7024, 0.0031000000000000003, 0.7033, 0.0038, 0.49710000000000004, 0.0005, 0.7007, -0... | 0.16666666666666666 * (Z(9) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(9)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(4)) + 0.16666666666666663 * Z(3) + 0.16666666666666666 * Z(9) + 0.16666666666666... | 6 | 10 | 1 | {"smallest_eigenvalues": [-3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["1100100000", "1000100001", "1001001110", "0010110001", "0011011110", "0110110000"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(2.5803047394785357) q[0];
rz(1.3257469481796962) q[0];
rx(2.536639633439683) q[1];
rz(1.8169231042925666) q[1];
rx(-0.02833827621423009) q[2];
rz(1.9231871217145695) q[2];
rx(0.4258021532643748) q[3];
rz(1.6900958943329094) q[3];
rx(0.6112201169473637) q[4];
rz(1.63... | 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": []} | [
"ZIIIIIZIII",
"IIIIIIZIZI",
"ZIIIIIIIZI",
"IIIIIIIZIZ",
"IIIIIZZIII",
"IIIIZIIIIZ",
"IIIZIZIIII",
"IIZIIZIIII",
"IZIIIZIIII",
"IIIIIIZIII",
"ZIIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IZIIIIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.16666666666666663,
0.16666666666666666,
0.16666666666666666,
0,
0,
0,
0,
0,
0,
0
] | 0.974991 | [
2.5803047394785357,
-0.24504937861520015,
2.536639633439683,
0.24612677749766987,
-0.028338276214230095,
0.3523907949196723,
0.42580215326437487,
0.1192995675380132,
0.6112201169473637,
0.06765481067096088,
-0.023147255679968663,
-0.7915041136387749,
0.06013743951088976,
0.1720838328237115... | {
"n_parameters": 46,
"n_qubits": 10,
"optimal_eigenvalue": -3.333333333333333,
"target_ratio": 0.97,
"target_value": -3.233333333333333
} | 106 |
e4c65d82be0d39aa5a43dd21b25413c9 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [9, 52], "expectation_value": -0.2145173186146401, "params": [[-0.0806], [0.07680000000000001]], "bitstrings": ["110110", "001011"], "total_optimization_steps": 10, "probabilities": [0.017990970568797556, 0.01834629602464026], "optimization_time": 1.6018879413604736} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -1.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001011", "101001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3247553284692968) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.3247553284692968) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.3247553284692968) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.3247553284692968) q[3];
cx q[2], q[3];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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]... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"ZIIIIZ",
"IIIZZI",
"ZIIIZI",
"IIZZII",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-0.5,
-1,
-0.5,
-0.5
] | 0.974813 | [
0.3247553284692968,
-1.3219445212436283,
-0.42592128972119486,
-1.3026339243679061,
-0.9080909678550849,
-1.1188009159857968,
0.06199065936474893,
-1.7911626886341159,
0.15201918715687204,
0.008349512126035533,
-0.1740273346787747,
-0.13593270342756683,
0.4345867108068353,
-0.2043119716458... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 68 |
6163086712884181579 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 7], [4, 5], [5, 7], [4, 7], [0, 5], [1, 2], [2, 3], [1, 6]]} | {"states": [84, 92], "expectation_value": -2.782058065226236, "params": null, "bitstrings": ["10101011", "10100011"], "total_optimization_steps": 51, "probabilities": [0.20347344314339222, 0.6094081716509439], "optimization_time": 58.80132699012756} | 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["01010100", "11011000", "00100111", "10101011", "01011100", "10100011"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7269497797068869) q[0];
h q[1];
ry(1.557525358467463) q[1];
h q[2];
ry(-0.20643232621668164) q[2];
h q[3];
cx q[3], q[2];
ry(0.20643232621668164) q[2];
cx q[3], q[2];
ry(-0.3364147883321516) q[2];
ry(1.4830785517439988) q[3];
h q[4];
h q[5];
h q[6];
ry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[5], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"ZIIIIIZI",
"ZIIZIIII",
"ZIZIIIII",
"IIZZIIII",
"IIZIIIIZ",
"IIIIIZZI",
"IIIIZZII",
"IZIIIIZI",
"ZIIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.972712 | [
-0.4128646524333633,
1.557525358467463,
-1.5920372554872544,
-0.5526631914427003,
1.1852420586076298,
-1.4538995594137738,
-0.4925961754137203,
0.15400310351616533,
-0.6728295766643032,
1.3457549750237179,
-0.6318312041944132,
0.2746471534405618,
0.1958291823319232,
0.15300858078759505,
... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 15 |
89d5c825b6a0ab169a92c6e188014bcd | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 6}, {"source": 3, "ta... | {"states": [467, 465], "expectation_value": -3.2380699276738767, "params": [[[-0.0022, 0.0029000000000000002, 0.004, 0.0097], [1.0418, 0.0028, 1.0465, 0.006], [2.4316, 0.0079, 0.0004, 0.001], [0.002, -0.378, 1.5687, 0.008], [-0.0025, 0.0056, 0.0063, 0.005200000000000001], [1.0455, 0.0025, 1.0447, 0.0012000000000000001]... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(3) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(3) @ Z(0) @ Z(1)) + -0.125 * (Z(3) @ Z(0) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(6... | 12 | 10 | 1 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.75, "smallest_bitstrings": ["1110101000", "1100101001", "1000101101", "1000110101", "1100101010", "1000101110", "1100110001", "1010101100"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.03327614252487744) q[0];
rz(0.18354032422726446) q[0];
ry(1.1104950743801416) q[1];
rz(-0.1279398362156688) q[1];
cz q[1], q[0];
ry(2.1827046025819876) q[1];
ry(3.0035663980039717) q[2];
rz(-0.04427589483978107) q[2];
ry(-0.01083085837584638) q[3];
rz(-0.49330288... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIZZIIIII",
"IIZIIIIIZI",
"IZIIIIIZII",
"ZIIIIIIZII",
"ZZIIIIIIII",
"ZZIIIIIZII",
"IIIIZZIIII",
"IIZIIZIIII",
"IZIIIZIIII"... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
-0.625,
-0.125,
0.125,
0... | 0.971383 | [
-0.03327614252487744,
0.18354032422726446,
1.1104950743801416,
-0.1279398362156688,
3.0035663980039717,
-0.04427589483978107,
-0.01083085837584638,
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0.03560316724558342,
0.43168048337880605,
1.370825965832603,
-0.03657047444783783,
0.0742959605869093,
-0.026860265578728... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 11 |
-169116440002931486 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 4], [0, 3, 4], [1, 2, 3, 5], [0, 1, 2, 3]]} | {"states": [52, 53], "expectation_value": -1.2762811970542618, "params": null, "bitstrings": ["001011", "001010"], "total_optimization_steps": 31, "probabilities": [0.13030080311702216, 0.7923699906288547], "optimization_time": 25.242359399795532} | 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.0833333... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["001010"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-2.5538501377092047) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
ry(-0.22486959266420325) q[2];
h q[3];
ry(1.5194732810321177) q[3];
h q[4];
ry(-0.3444351155888894) q[4];
cx q[1], q[4];
ry(0.3444351155888894) q[4];
cx q[1], q[4];
ry(-0.3840613837541594) q[4];
cx q[3], 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(1.3603) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IZIIZI",
"IZIIIZ",
"IIIIZZ",
"IZZIII",
"IIZIZI",
"IIZIIZ",
"IIIZZI",
"IIIZIZ",
"IIZZII",
"ZIIIZI",
"ZIZIII",
"ZIIZII",
"IZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.25,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666663,
0.25,
0.29166666666666674,
0.416666666666666... | 0.974112 | [
1.5194732810321177,
-0.6888702311777788,
1.021130663973481,
-0.7681227675083188,
0.4292373642115897,
-0.405557017345143,
0.6252071089165286,
-0.4497391853284065,
0.7156934039955587,
-0.4674882683446062,
0.17084001769684898,
0.06132917381388029,
-0.28287145216443965,
-0.10976347887673907,
... | {
"n_parameters": 28,
"n_qubits": 6,
"optimal_eigenvalue": -1.333333333333333,
"target_ratio": 0.97,
"target_value": -1.293333333333333
} | 5 |
20b257e7ab3ea05503daa46ec3868b05 | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [52, 37], "expectation_value": -0.34568521647133366, "params": [[0.056100000000000004, 0.046400000000000004], [-0.0551, -0.038900000000000004]], "bitstrings": ["001011", "011010"], "total_optimization_steps": 10, "probabilities": [0.01836001613231447, 0.018360016132314486], "optimization_time": 2.63166975975... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * Z(2) + -0.5 * Z(0) + -1.5 * Z(4) + -1.0 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["001011", "011010"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.5548614983032758) q[0];
h q[1];
ry(-0.4336582153180486) q[1];
h q[2];
ry(-1.5596846869202525) q[2];
h q[3];
ry(1.5548614983032758) q[3];
ry(-0.026435782347820826) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[1];
ry(0.4336582153180486) q[1];
cx q[5], q[1];
ry(-0.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IIIZZI",
"IZIIZI",
"ZIIZII",
"ZZIIII",
"ZIIIZI",
"IIZZII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
-1,
-1,
0
] | 0.998061 | [
-1.5596846869202525,
-1.4823995321635313,
1.5548614983032758,
-0.8673164306360972,
0.7054725837623831,
-0.4872816670639519,
0.6442048738368666,
-0.5016801554814053,
0.16957923580848894,
-0.12340870985442795,
0.17931583905653592,
-0.021905959185723592,
-0.12392202456708895,
0.03449940289991... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
cbe7ba36f82b20f95bdf134b5dceea0e | 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": [432, 434], "expectation_value": -58.74562703701078, "params": [[[0.4854, 0.1746], [0.8053, 0.1724], [0.8055, 0.13920000000000002], [0.1335, 0.1685], [0.7346, 0.34800000000000003], [0.5587, 0.2856], [0.1759, 0.5946], [0.2758, 0.48250000000000004], [0.5397000000000001, 0.5222], [0.2944, 0.8022]], [[0.7517, 0.... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(2) @ Z(4)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(6) @ Z(1)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(7) @ Z(4)) + 7.5 * (Z(9) @ Z(8)) + -3.5 * Z(0) + 7.5 * Z(1) + 17.5 * Z(4) + 11.5 * Z(3) + 9.5 * Z(2) + 7.0 * Z(5) + 1.5 * Z(6) + -3.0 * Z(7) + 1.0 * Z(8) + -... | 15 | 10 | 3 | {"smallest_eigenvalues": [-94.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -83.0, "smallest_bitstrings": ["1001001101"], "largest_eigenvalue": 120.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.0486557140859116) q[0];
ry(1.011886272898383) q[1];
ry(1.0909538658511744) q[2];
ry(-0.3843042139974146) q[3];
ry(0.9101290049018221) q[4];
ry(0.8095037808689638) q[5];
ry(-0.24508282539221085) q[6];
ry(0.3822617777873293) q[7];
ry(0.36570715128770365) q[8];
ry(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIIIIZZII",
"IIIIZIZIII",
"IIIZIIIIZI",
"IIIZZIIIII",
"IIZIIZIIII",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII"
] | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
-3.5,
7.5,
17.5,
11.5,
9.5,
7,
1.5,
-3,
1,
-5.5
] | 0.971976 | [
0.0486557140859116,
1.011886272898383,
1.0909538658511744,
-0.3843042139974146,
0.9101290049018221,
0.8095037808689638,
-0.24508282539221085,
0.3822617777873293,
0.36570715128770365,
0.046219324607350086,
-0.0035978206037989846,
-0.021543407535427224,
-0.049973716763344625,
0.0709377939044... | {
"n_parameters": 60,
"n_qubits": 10,
"optimal_eigenvalue": -94,
"target_ratio": 0.97,
"target_value": -91.17999999999999
} | 83 |
7bc4dde9a09d0b94c5097b219891d81a | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [89, 85], "expectation_value": -0.15207755407063128, "params": [0.2442, -0.1014, 0.2338, -0.109, 0.3106, -0.0734, 0.3149, -0.08990000000000001, 0.266, -0.12240000000000001, 0.24600000000000002, -0.1325, 0.324, -0.0805, 0.3211, -0.0995, 0.2773, -0.1022, 0.2725, -0.11030000000000001, 0.30670000000000003, -0.09... | 0.25 * (Z(0) @ Z(1)) + -0.001953125 * (Z(2) @ Z(0)) + -0.001953125 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00078125 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + 0.00078125 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00078125 * (Z(6) @ Z(0)) + -0.00078125 * (Z(6) @ Z(2)) + -0.0015625 *... | 5 | 8 | 3 | {"smallest_eigenvalues": [-1.0070312500000003, -1.0070312500000003], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0070312499999998, "smallest_bitstrings": ["10101010", "10100101"], "largest_eigenvalue": 1.0132812499999997} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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... | {"communities_size": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIIIZ",
"IZIIIZII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
0.25,
-0.001953125,
-0.001953125,
0.25,
0.00078125,
-0.00078125,
0.00078125,
-0.00078125,
0.25,
0.00078125,
-0.00078125,
-0.0015625,
0.00078125,
-0.00078125,
-0.0015625,
0.25,
-0.0003906249999999778,
-0.0003906249999999778,
-0.003515625000000022,
-0.003515625000000022,
-0.001... | 0.987235 | [
0.11953274834359354,
0.2854334628168601,
-0.11213716823678,
0.2175735915324961,
0.058537607426864216,
-0.2041489905535785,
1.195421164250731,
-0.0853700569336958,
0.21361350790414543,
0.08320735516977537,
-0.038044942888873196,
-0.02371278444846299,
-0.1628380576660834,
0.9476996835334291,... | {
"n_parameters": 22,
"n_qubits": 4,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 5 |
06224520ded029e940b1fde3f5ab3e3b | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [17, 37], "expectation_value": -3.003065798986642, "params": null, "bitstrings": ["101110", "011010"], "total_optimization_steps": 28, "probabilities": [0.05910217727314931, 0.8451772667375618], "optimization_time": 16.758018970489502} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + -0.25 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) + -0.25 * Z(3) + -0.5 * Z(4) + -0.25 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["011010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4604609545342588) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.4604609545342588) q[1];
cx q[0], q[1];
rz(-0.5961919399360327) q[0];
rx(-0.8240718412880712) q[0];
cx q[3], q[2];
rz(0.4604609545342588) q[2];
cx q[3], q[2];
h... | 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[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... | [
"IIIIZZ",
"IIIZIZ",
"IZZIII",
"IIZIZI",
"ZIIIZI",
"ZIZIII",
"ZIZIZI",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
-0.5,
-1,
-0.25,
-0.5,
-0.25
] | 0.720304 | [
0.4604609545342588,
-1.0130158982300328,
-0.5961919399360321,
0.10159268481627397,
-0.8240718412880712,
1.653056793347183,
-2.4998589588665014,
-1.3174178256009759,
-0.48477462442147073
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 246 |
4743a42b98680c4f321c8f72a752812d | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 4, "source": 3, "target": 4}, {"capaci... | {"states": [287, 447], "expectation_value": -11.414364348807236, "params": null, "bitstrings": ["011100000", "001000000"], "total_optimization_steps": 91, "probabilities": [0.15640941847284406, 0.6925526015669172], "optimization_time": 163.2579333782196} | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(8)) + 1.0 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(8)) + 2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6... | 1 | 9 | 4 | {"smallest_eigenvalues": [-12.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.833333333333334, "smallest_bitstrings": ["001000000"], "largest_eigenvalue": 30.166666666666668} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.46649451005994) q[0];
h q[1];
ry(0.6154181234488859) q[1];
h q[2];
ry(-0.5514930215325138) q[2];
h q[3];
cx q[3], q[1];
ry(-0.6154181234488859) q[1];
cx q[3], q[1];
ry(0.8741378410306877) q[3];
cx q[1], q[3];
ry(-0.8741378410306877) q[3];
cx q[1], q[3];
cx ... | null | {"source": 0, "sink": 5} | {"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(0.2475) 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] = m... | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IZIIIZIII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIZZIII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIZIZIII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIZZIIII",
"IIZIIZIII",
"IZZIIIIII",
"ZIZIIIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"... | [
-0.5,
-0.5,
0.33333333333333337,
-0.5,
-0.5,
1,
0.5,
-0.5,
-0.5,
1,
-1,
-1,
2,
0.5,
-0.5,
-0.5,
1,
2,
1,
0.16666666666666674,
0.16666666666666674,
-0.5,
-0.5,
3.5,
7,
3.5,
-0.16666666666666666
] | 0.972673 | [
0.2709847211916842,
0.40264555795763096,
0.12899811327846203,
1.513137859795444,
0.35718583373419116,
1.7142782611060803,
1.7328222848880896,
0.6485768347912756,
1.4510178964029241,
1.2308362468977718,
1.7482756820613754,
0.93298902011988,
0.15122911101274447,
-1.1029860430650276,
0.1357... | {
"n_parameters": 46,
"n_qubits": 9,
"optimal_eigenvalue": -12.166666666666666,
"target_ratio": 0.97,
"target_value": -11.801666666666666
} | 19 |
d0adf87c438fa85bf55807406cfe450e | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.008732080655154835, "params": [[-0.0419], [0.052500000000000005]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.580474562292389e-05, 1.5804745622923894e-05], "optimization_time": 13.207115173339844} | 0.25 * (Z(0) @ Z(1)) + -0.0005000000000000001 * (Z(2) @ Z(0)) + -0.0005000000000000001 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0008749999999999999 * (Z(4) @ Z(0)) + -0.00075 * (Z(4) @ Z(2)) + -0.0008749999999999999 * (Z(5) @ Z(1)) + -0.00075 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0006875000000000002 * (Z(6) @ ... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.0174999999999494], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.017499999999929, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.0149999999999655} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
ry(-0.21185406614393415) q[1];
cx q[0], q[1];
ry(0.21185406614393415) q[1];
cx q[0], q[1];
ry(-0.1268633714226808) q[0];
cx q[1], q[0];
ry(0.1268633714226808) q[0];
cx q[1], q[0];
ry(0.5981217965234514) q[0];
ry(-0.0646061862405728) q[1];
h q[2];
h q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
c... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0005000000000000001,
-0.0005000000000000001,
0.25,
-0.0008749999999999999,
-0.00075,
-0.0008749999999999999,
-0.00075,
0.25,
-0.0006875000000000002,
-0.0005000000000000001,
0.000375,
-0.0006875000000000002,
-0.0005000000000000001,
0.000375,
0.25,
0.000375,
0.00050000000000... | 0.972238 | [
0.04433481476456443,
-1.8389384450776722,
-0.9555223912643825,
-0.4237081322878683,
-1.103184504897781,
-0.4317667305256843,
-0.42194215882826674,
-0.7361706241397079,
1.2862482553071835,
0.18894695007181184,
0.6020449598068067,
-0.2537267428453616,
0.5981217965234514,
1.112193287248606,
... | {
"n_parameters": 98,
"n_qubits": 16,
"optimal_eigenvalue": -2.017499999999952,
"target_ratio": 0.97,
"target_value": -1.9569749999999535
} | 91 |
a645ae3643161db4224eacb5097991ef | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [97, 69], "expectation_value": -5.496464085561502, "params": null, "bitstrings": ["0011110", "0111010"], "total_optimization_steps": 29, "probabilities": [0.06634840431968939, 0.9303662506154603], "optimization_time": 22.81065344810486} | 0.5 * (Z(0) @ 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)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(5) + -1.5 * Z(1) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011110", "0111010"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.36080722853948355) q[0];
rz(0.0996859129594938) q[0];
rx(-0.13056929312637028) q[1];
rz(0.19671215211179605) q[1];
rx(0.6735834332027599) q[2];
rz(0.10719354986465578) q[2];
rx(0.7023405252413965) q[3];
rz(0.23632430860056663) q[3];
rx(0.04762823733000421) q[4];
r... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IZIIIIZ",
"IIIIZZI",
"IZIIIZI",
"IIIZZII",
"IIIZIZI",
"IZZIIII",
"IIZIIZI",
"IIZZIII",
"ZIIIZII",
"ZZIIIII",
"ZIIZIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-1.5,
-1.5,
-1,
-1
] | 0.973415 | [
0.36080722853948344,
0.09626794605094101,
-0.13056929312637028,
0.19671215211179605,
0.6735834332027599,
0.10719354986465578,
0.7023405252413965,
0.23632430860056663,
0.04762823733000421,
-0.376581061409579,
0.6521420165365777,
0.007883441816705363,
0.6497910334820518,
0.14400396751876127,... | {
"n_parameters": 139,
"n_qubits": 12,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 20 |
6c729dfd5e7001e3a38620bc1dd3c2de | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, ... | {"states": [45, 39], "expectation_value": -4.999144858283781, "params": null, "bitstrings": ["1010010", "1011000"], "total_optimization_steps": 36, "probabilities": [0.06552908063231486, 0.9338662614321694], "optimization_time": 35.15415167808533} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(3) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(6) + -1.5 * Z(2) + 0.0 * Z(1) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1011000", "1010010"], "largest_eigenvalue": 10.0} | 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(0.10758269301838308) q[0];
cx q[3], q[0];
h q[4];
cx q[0], q[4];
rz(0.10758269301838308) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(0.10758269301838308) q[2];
cx q[4], q[2];
rz(1.0158526286770417) q[4];
rx(-0.660651681254974... | 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", ... | [
"IIIZIIZ",
"IIZIIIZ",
"IZIZIII",
"IZIIIIZ",
"ZIIIIIZ",
"IIZIZII",
"IZIIZII",
"ZIIIZII",
"IIIIZZI",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-0.5,
-1,
-0.5,
-1.5,
0
] | 0.977959 | [
0.10758269301838308,
1.0158526286770422,
-1.0830236518770011,
-0.7797930592220781,
0.7529332076282363,
-0.6606516812549744,
-0.1660913770954591,
0.09088404394185104,
-0.5392296610982585,
-0.7289087446503865,
-0.6129435813348304,
0.3486533609480895,
0.5287619526337042,
0.17317995659263544,
... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 39 |
20a60ed013bc1976376f734be7d8d92c | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [6, 9], "expectation_value": -0.03986941572386399, "params": [[-0.053700000000000005], [0.0627]], "bitstrings": ["1001", "0110"], "total_optimization_steps": 10, "probabilities": [0.06584866402386612, 0.06584866402386613], "optimization_time": 1.3553974628448486} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1001", "0110"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.354728125038139) q[0];
ry(-0.4482118389810244) q[1];
ry(1.1755110513092433) q[2];
ry(0.5002955961412344) q[3];
ry(0.16063370756801337) q[4];
ry(1.5622279807339) q[5];
ry(1.1768090945097947) q[6];
ry(1.5622279807339) q[7];
ry(1.5666955069360808) q[8];
ry(1.5127972... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[... | null | {"circuits": [], "gradients": []} | [
"IIZZ",
"ZZII",
"IZIZ",
"ZIZI",
"IIIZ",
"IIZI",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.972165 | [
-0.354728125038139,
-0.4482118389810244,
1.1755110513092433,
0.5002955961412344,
0.16063370756801337,
1.5622279807339,
1.1768090945097947,
1.5666955069360808,
1.5127972230668947,
-0.024986189269166677,
0.48443925419363265,
0.015176939504703403,
-0.07719483818697466,
0.3729730085267119,
0... | {
"n_parameters": 60,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999957,
"target_ratio": 0.97,
"target_value": -19.39999999999996
} | 52 |
532d7b9840f324faf47e567c6a0fdd6f | 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}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [0, 7], "expectation_value": -18.737999184494292, "params": [0.0033, 0.9647, 0.0, 1.363, 0.0006000000000000001, 0.8797, 0.0035, 1.2348000000000001, -0.025500000000000002, 1.4853, 0.0043, 1.487, -0.0022, 1.0967, 0.0077, 0.8545, 0.0007, 1.4642000000000002, 0.0004, 0.8264, -0.6604, 1.0966, 0.4717, 0.69100000000... | -2.5 * (Z(0) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(0)) + -3.0 * (Z(1) @ Z(3)) + 1.5 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(4)) + -2.5 * (Z(2) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + -1.5 * Z(3) + -2.0 * Z(0) ... | 6 | 8 | 2 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-1.5707977335680394) q[0];
ry(-0.013502097976412934) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5707977335680394) q[2];
rz(-pi) q[3];
ry(-4.219105240513308e-06) q[3];
ry(-1.4827129329316227e-05) q[4];
rz(-pi) q[4];
h q[5];
ry(0.7853975177179691) q[5];
h q[6];
h q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IIIIZIZI",
"IIIIIIZZ",
"IIIZIIZI",
"IIIIZZII",
"IIIIIZIZ",
"IIIZIZII",
"IIIIIZZI",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-2.5,
1,
-3,
-3,
1.5,
-3,
0.5,
0.5,
-2,
-2.5,
-1.5,
0.5,
-1.5,
-1.5,
-2,
1.5,
-2.5,
1,
0.5,
0.5,
0.5
] | 0.9625 | [
-1.5707977335680394,
-1.5707941200048936,
-1.5707799134645657,
-0.00001285179048671854,
0.0000018395551598433803,
1.5707950354359381,
2.4725657086000994,
1.2309349690645535,
-0.0000031724020034693597,
0.38504468633579836,
-0.3850548391687979,
0.000003773593329815815,
-0.5169980183123583,
-... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 500 |
5f79bb35bd8dc69bae5409f6ad22880d | 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": 6, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 6}, {"weight": 19, "source": 0, "target": 2}, {"weight": 11, "source": 1, "tar... | {"states": [250, 234], "expectation_value": -68.09858732067715, "params": [0.3403, 0.2311, 0.7869, -0.0039000000000000003, 0.7868, 0.0001, 0.789, 0.1211, 0.3854, 0.2669, 0.7943, 0.136, 0.19410000000000002, 0.34140000000000004, 0.7855000000000001, 0.1363, 0.1824, 0.3109, 0.3393, 0.2117, 0.79, -0.0048000000000000004, 0.7... | 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(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(7)) + 18.5 * Z(1) ... | 18 | 9 | 4 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 160.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.17775491171863128) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.17775491171863128) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.17775491171863128) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.17775491171863128) 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] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input ... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZZIIIIIII",
"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,
18.5,
7.5,
17,
10,
9,
14,
3.5,
14.5,
3
] | 0.972269 | [
-0.17775491171863128,
0.7422707239645959,
-0.7137277656696318,
1.6903885489159691,
0.7844568988491945,
-0.5365404642561677,
1.9330020999914095,
-1.083635569950808,
1.1994395883958007,
-0.9472891092943098,
-0.0656266765701447,
0.20635363420558683,
0.5554917030294928,
-0.8286751457896198,
... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -78,
"target_ratio": 0.97,
"target_value": -75.66
} | 67 |
da1b1c85f8e653b867f6f4bdba638afa | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [7, 70], "expectation_value": -5.496304682848942, "params": null, "bitstrings": ["1111000", "0111001"], "total_optimization_steps": 26, "probabilities": [0.06706466845750586, 0.9295035070612587], "optimization_time": 27.127124309539795} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -2.0 * Z(3) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["0111001", "1101001", "1111000"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-3.03208384136978) q[0];
rz(1.1529037528344812) q[0];
rx(3.0700951243921843) q[1];
rz(-1.3038601993648782) q[1];
rx(2.7848649180839136) q[2];
rz(-1.3038601993648782) q[2];
rx(-0.3029962700085394) q[3];
rz(-0.6966306365913719) q[3];
rx(2.903387714224511) q[4];
rz(0.7... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"IIZIIZI",
"IIZZIII",
"IZIIIZI",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IIZIIII",
"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,
-2,
-1.5,
-1.5,
-2,
-1,
-0.5,
0
] | 0.97036 | [
3.2511014658098065,
0.9365748093907186,
3.0700951243921843,
-1.3038601993648782,
2.7848649180839136,
-0.3029962700085394,
-0.6966306365913719,
2.903387714224511,
0.7624352408508751,
2.8830223660071757,
-2.241045445073787,
2.8420106823505695,
0.9076514518624942,
-0.007602550276479374,
3.1... | {
"n_parameters": 31,
"n_qubits": 12,
"optimal_eigenvalue": -4.125,
"target_ratio": 0.97,
"target_value": -4.00125
} | 47 |
9a44f437194a4879d426f5b6a5686299 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [5, 7], "expectation_value": -11.690888116176037, "params": [[[0.49760000000000004, 0.1655], [0.4027, -0.19440000000000002], [0.4823, 0.16], [0.5043, 0.16140000000000002], [0.4016, -0.1915], [0.8004, -0.0017000000000000001], [0.7993, 0.0022], [0.8022, -0.0015]], [[0.4983, 0.0015], [0.40490000000000004, 0.006... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 1 | 8 | 2 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.08091434685478957) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.08091434685478957) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.08091434685478957) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.08091434685478957) 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[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
-7.25,
-7,
-7,
-7,
-7.25,
-6.25,
-6.5,
-6.25
] | 0.97193 | [
0.08091434685478957,
0.19683262780482505,
-0.5276026023285014,
-0.2585790863730953,
0.6015554638553474,
0.11689174019538448,
-0.45237660767138255,
-0.07816655406896592,
-0.26502704531832566,
-0.8206004991266179,
-0.7539224517840958,
0.3364543138354996,
0.531455957300341,
-0.599578090869826... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 94 |
-4296608395322037532 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 5, 6], [0, 6], [0, 2], [3, 6], [0, 4]]} | {"states": [21, 53], "expectation_value": -2.014994747838207, "params": null, "bitstrings": ["1101010", "1001010"], "total_optimization_steps": 55, "probabilities": [0.09072364724132713, 0.634881347781267], "optimization_time": 64.45673394203186} | 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(0)) + 0.16666666666666666 * Z(5) + 0.16666666666666666 * Z(1) + 0.16666666666666674 * Z(6) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["0010101", "1001010", "1101000"], "largest_eigenvalue": 2.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(0.37608537322047636) q[1];
cx q[5], q[1];
h q[6];
cx q[5], q[6];
rz(0.37608537322047636) q[6];
cx q[5], q[6];
cx q[1], q[6];
rz(0.3760853732204761) q[5];
rx(-0.7910761886848757) q[5];
rz(0.376085373220476... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[6], 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... | [
"IZIIIZI",
"ZZIIIII",
"ZIIIIZI",
"ZIIIIIZ",
"IIIIZIZ",
"ZIIZIII",
"IIZIIIZ",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666674,
0,
0,
0,
0
] | 0.512092 | [
0.37608537322047636,
0.8677375310161671,
-0.059650984622638924,
-0.7910761886848756
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -2.333333333333333,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 115 |
347cd23786ada5a7ec96f3799dd0d8dc | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 19, "source": 1, "target": 5}, {"weight": 12, "source": 1, "target": 4}, {... | {"states": [171, 117], "expectation_value": -21.003525534788952, "params": null, "bitstrings": ["01010100", "10001010"], "total_optimization_steps": 100, "probabilities": [0.09235583992557893, 0.1219335732334597], "optimization_time": 154.7184705734253} | 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(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 5.5 * Z(1) + 4.5 * Z(0) + 18.0 * Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["10001010"], "largest_eigenvalue": 135.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.7996058083707251) q[0];
rz(-0.13258950846490603) q[0];
rx(-0.04589737538281516) q[1];
rz(0.1799801397254761) q[1];
rx(0.16186570142550433) q[2];
rz(0.3133290356743821) q[2];
rx(0.8227815263736653) q[3];
rz(0.05776948433549922) q[3];
rx(0.7161871771895253) q[4];
rz(... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(0.5995) 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[... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5.5,
4.5,
18,
13.5,
2.5,
16.5,
9,
13.5
] | 0.971014 | [
0.7996058083707254,
0.006182936667641672,
-0.04589737538281516,
0.22768974747763632,
0.16186570142550433,
0.396073894945569,
0.8227815263736652,
0.013998181878018726,
0.7161871771895254,
0.15083729154297,
0.03143464359904234,
0.3059757219065661,
0.640600425668681,
0.1741861116929011,
0.3... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 8 |
92e0d9744e7b0376f2c61fec7a621b77 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [56, 25], "expectation_value": -3.4964640978287123, "params": null, "bitstrings": ["000111", "100110"], "total_optimization_steps": 23, "probabilities": [0.06634871027471173, 0.930365963812893], "optimization_time": 12.179049253463745} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["000111", "100110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.5133697055041112) q[0];
h q[1];
ry(1.6084249374386541) q[1];
h q[2];
ry(1.6084249374386541) q[2];
ry(-0.053550572212937055) q[3];
rz(-pi) q[3];
ry(-0.053550572212937055) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.5133697055041112) q[0];
cx q[5], q[0];... | 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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIZIIZ",
"IZIIIZ",
"ZIIIIZ",
"ZZIIII",
"IIZIZI",
"IZIIZI",
"IIZZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-0.5,
-0.5,
0
] | 0.992524 | [
-1.5021443221766975,
1.6084249374386541,
-1.0267394110082224,
0.7506936281381614,
-0.5870557688839062,
0.4771553588124247,
-0.38953925180142007,
0.19253854567295237,
0.02981104842832527,
0.18877927704919473,
0.13517748060633164,
-0.03020286481052407,
-0.11241436734008918
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
9e8a866d2c0011b6946d4c64e758f31c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [21, 28], "expectation_value": -3.999900324820463, "params": null, "bitstrings": ["101010", "100011"], "total_optimization_steps": 26, "probabilities": [1.7187519564476356e-05, 0.999950071649245], "optimization_time": 15.618556499481201} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.0097347073373075) q[0];
rz(-0.14101462084387117) q[0];
rx(-0.38750982357956676) q[1];
rz(-0.3057211553890907) q[1];
cx q[1], q[0];
rz(0.13275230381341913) q[0];
cx q[1], q[0];
rx(1.3782189303544248) q[0];
rz(-0.29267031617775396) q[0];
rz(-0.09789635874452761) q[1]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1,
-1,
-1,
0
] | 0.971229 | [
1.0097347073373075,
-0.008262317030451896,
-0.38750982357956676,
-0.3057211553890907,
1.2302795857067115,
-0.013592108438004277,
1.1428987618315947,
0.21610326377545203,
-0.0945257361764085,
0.05751696828617267,
1.1584777199858318,
-0.024575436526478617,
1.269911032440262,
0.08978829929159... | {
"n_parameters": 69,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 20 |
20a60ed013bc1976376f734be7d8d92c | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [0, 6], "expectation_value": -1.9998648604775688, "params": null, "bitstrings": ["1111", "1001"], "total_optimization_steps": 13, "probabilities": [1.900140947380775e-05, 0.9999183586751094], "optimization_time": 4.424016237258911} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1001", "0110"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.354728125038139) q[0];
ry(-0.4482118389810244) q[1];
ry(1.1755110513092433) q[2];
ry(0.5002955961412344) q[3];
ry(0.16063370756801337) q[4];
ry(1.5622279807339) q[5];
ry(1.1768090945097947) q[6];
ry(1.5622279807339) q[7];
ry(1.5666955069360808) q[8];
ry(1.5127972... | 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(-1.4449) 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",
"ZZII",
"IZIZ",
"ZIZI",
"IIIZ",
"IIZI",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.972165 | [
-0.354728125038139,
-0.4482118389810244,
1.1755110513092433,
0.5002955961412344,
0.16063370756801337,
1.5622279807339,
1.1768090945097947,
1.5666955069360808,
1.5127972230668947,
-0.024986189269166677,
0.48443925419363265,
0.015176939504703403,
-0.07719483818697466,
0.3729730085267119,
0... | {
"n_parameters": 60,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999957,
"target_ratio": 0.97,
"target_value": -19.39999999999996
} | 52 |
a6da0588e4f06076b5c2f06ef98c16c3 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [41, 56], "expectation_value": -0.12997562430109594, "params": [[0.0346, -0.0683], [-0.061900000000000004, 0.0632]], "bitstrings": ["1010110", "1000111"], "total_optimization_steps": 10, "probabilities": [0.008698862693376021, 0.008698862693376028], "optimization_time": 3.085334062576294} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(3) + 0.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(1) + -1.0 * Z(5) + -0.5 * Z(2) + -0.5 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5, "smallest_bitstrings": ["0101011", "1000111", "1010110", "0011110", "0111100", "0111001", "0001111"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.6893829270649235) q[0];
rz(-0.15246847792251517) q[0];
rx(0.8054746318133343) q[1];
rz(-0.1838163856781594) q[1];
rx(0.4051055585965716) q[2];
rz(-0.22350801436726764) q[2];
rx(0.0026468023417618863) q[3];
rz(0.4052824277792104) q[3];
rx(-0.3718109169788402) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZZIII",
"IIZIIZI",
"IZIZIII",
"IZIIIZI",
"IZIIZII",
"ZIZIIII",
"ZIIIZII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1,
-0.5,
-1,
-0.5,
-0.5
] | 0.983472 | [
0.6893829270649237,
-0.15421740938566555,
0.8054746318133343,
-0.21500998908504157,
0.40510555859657166,
-0.1561534392208339,
0.0026468023417618863,
0.26630454616751786,
-0.37181091697884017,
-0.029580537836861695,
-0.013845030580932005,
0.086408608200701,
0.9631530342970905,
0.09314220419... | {
"n_parameters": 69,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 12 |
422319ba04d136ad73513dac1d0065c7 | max_flow | 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": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capaci... | {"states": [1783, 1767], "expectation_value": -12.640353891220009, "params": [0.0, -0.0006000000000000001, 0.38830000000000003, 0.394, 0.3788, 0.3677, -0.0876, -0.2222, 0.30360000000000004, 0.3284, 0.3401, 0.35350000000000004, 0.4056, 0.3899, 0.0829, 0.0849, -0.0006000000000000001, 0.0001, 0.3946, 0.3985, 0.3724, 0.374... | -1.0 * (Z(8) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(8)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(0) @ Z(8)) + -0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * ... | 14 | 12 | 4 | {"smallest_eigenvalues": [-12.875, -12.875, -12.875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -12.625, "smallest_bitstrings": ["100110001010", "100100011000", "100100000010"], "largest_eigenvalue": 29.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.5166574351848524) q[0];
rz(1.427206026017565) q[0];
rx(0.6652927820984921) q[1];
rz(1.6153204929972311) q[1];
rx(2.5306334617267017) q[2];
rz(1.1988742149468248) q[2];
rx(-0.008157283247904035) q[3];
rz(1.0151177535238425) q[3];
rx(1.154890385314211) q[4];
rz(1.7... | 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": 5} | {"circuits": [], "gradients": []} | [
"IIIZIIIZIIII",
"IIIIIIZZIIII",
"IIIZIIZIIIII",
"IIIIIZIZIIII",
"IIIZIZIIIIII",
"IIIIIZZIIIII",
"IIIIZIIZIIII",
"IIIZZIIIIIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIIIIIZIIIZ",
"IIIZIIIIIIIZ",
"IIZIIIIZIIII",
"IIZZIIIIIIII",
"IIZIIIZIIIII",
"IIZIIZIIIIII",
"IIZIIIIIIIIZ",
"IZIIIIIZI... | [
-1,
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,
0.375,
1,
-1,
4,
4,
1.5,
-0.625,
3,
0.5,
2.25,
2.25,
0.5,
-0.125
] | 0.971317 | [
-0.5166574351848524,
-0.14359030077733115,
0.6652927820984921,
0.044524166202335104,
2.5306334617267017,
-0.3719221118480718,
-0.008157283247904035,
-0.5556785732710541,
1.1548903853142112,
0.15156788401350937,
1.981656772672947,
-0.14850940033601542,
1.1883051429482772,
-0.061917510887196... | {
"n_parameters": 57,
"n_qubits": 12,
"optimal_eigenvalue": -12.875,
"target_ratio": 0.97,
"target_value": -12.48875
} | 97 |
e5ad9c08c01c1ebe8aa9222d011acce6 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 5, "source": 2, "target": 4}, {"capaci... | {"states": [17, 31], "expectation_value": -4.335116996798767, "params": null, "bitstrings": ["101110", "100000"], "total_optimization_steps": 51, "probabilities": [0.12902492310277472, 0.45615066958250355], "optimization_time": 44.86572742462158} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -1.25 * (Z(2) @ Z(4)) + -1.75 * (Z(3) @ Z(4)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(5) + 0.0 * Z(4) + 1.25 * Z(2) + -0.75 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.26563194476290347) q[0];
h q[1];
ry(0.46063529140043846) q[1];
h q[2];
ry(0.4160543927876555) q[2];
h q[3];
h q[4];
cx q[4], q[2];
ry(-0.4160543927876555) q[2];
cx q[4], q[2];
ry(1.6498259376990079) q[4];
cx q[3], q[4];
ry(-1.6498259376990079) q[4];
cx q[3... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5706) q[4], 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 \... | [
"IIIIZZ",
"ZIIIZI",
"ZIIIIZ",
"IZIIZI",
"ZZIIII",
"IZIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IZIIII",
"IIIZII",
"IIZIII"
] | [
-0.25,
-1,
0.5,
-0.25,
-0.25,
-1.25,
-1.75,
0.5,
-0.25,
-0.75,
0,
1.25,
-0.75
] | 0.970728 | [
0.832108785575311,
3.2996518753980157,
0.9212705828008769,
0.03287511214956562,
3.394820406287191,
-2.3713296475445462,
0.9130008242406561,
-0.23955336433664093,
-0.5312638895258069,
0.3015182015816523,
-0.7704132928114164,
0.6044840534319791,
-0.026283715182854293,
-0.836787649712148,
-... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 236 |
d69fa5e96a291c9842cf6b612c269a84 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 19, "source": 1, "target": 7}, {"weight": 18, "source": 1, "target": 8}, {"weight": 7, "source... | {"states": [227, 211], "expectation_value": -59.50909763741391, "params": [[0.030600000000000002, -0.0729], [-0.2561, 0.2459]], "bitstrings": ["100011100", "100101100"], "total_optimization_steps": 30, "probabilities": [0.051643482882880204, 0.05337648223173669], "optimization_time": 3.821622133255005} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) @ Z(7)) + 19.5 * Z(1) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-92.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["100101100"], "largest_eigenvalue": 184.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.05496967116563736) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.05496967116563736) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.05496967116563736) q[2];
cx q[0], q[2];
rz(1.1598491024488613) q[0];
rx(1.5374085613146133) q[0];
h q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIZIIIIZI",
"IZIIIIZII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
19.5,
1.5,
24,
16.5,
-1.5,
6,
16.5,
23,
-9
] | 0.979329 | [
0.05496967116563736,
-1.6661449980936365,
1.1598491024488615,
-1.4683133591167894,
-1.528959635786404,
1.2450984923812887,
1.4938312447848585,
-1.7523187194853114,
1.4331818599623176,
1.5374085613146133
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -92.5,
"target_ratio": 0.97,
"target_value": -89.725
} | 40 |
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