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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
800f779aab5ac71650acd9af8d6964c8 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"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": [14, 7], "expectation_value": -2.2375208743632533, "params": [[-0.024800000000000003], [0.0307]], "bitstrings": ["11110001", "11111000"], "total_optimization_steps": 10, "probabilities": [0.004263091882614492, 0.004319181869232488], "optimization_time": 4.609287977218628} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 5 | 8 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.43263153788651865) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.33347793652408547) q[1];
h q[2];
ry(-0.33347793652408547) q[2];
ry(-0.18921776981409477) q[3];
rz(-pi) q[3];
ry(-0.9937012523290137) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[2];
ry(0.33347793652408547) q[2];
cx 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;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"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,
2.75,
3,
3,
3,
3,
3,
2.75,
3,
3,
3,
2.75,
3,
3,
2.75,
-7,
-7,
-7,
-7.25,
-7.25,
-6.5,
-6.5,
-6.5
] | 0.974682 | [
-1.2455998084576945,
-0.37817131988348546,
-0.795027545328284,
-0.3978475091647948,
-0.27195749704621475,
-0.6669558730481709,
1.361511014481087,
1.3396044443315112,
-0.686274487160188,
1.0423394202220775,
-0.35908583330767535,
-0.2925604938850007,
-0.6062823621828345,
-0.4677930098758491,... | {
"n_parameters": 57,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 23 |
5a1f4c0428a11f53f00fec7780697090 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [0, 3], "expectation_value": -2.539868514879459, "params": [[-0.0892], [0.0818]], "bitstrings": ["1111111", "1111100"], "total_optimization_steps": 10, "probabilities": [0.014375820232664966, 0.015174214645633548], "optimization_time": 2.0322582721710205} | -2.5 * (Z(0) @ Z(1)) + -3.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -3.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 1.5 * (Z(3) @ Z(4)) + 1.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(4)) + -2.5 * (Z(2) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -2.0 * Z(1) + -2.0 * Z(0) + -2.5 * Z(4) + -2.5 * Z(3) + 1.5 * Z(2) + 0.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.6263656503479739) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.261165806836198) q[4];
cx q[1], q[4];
cx q[0], q[4];
cx q[1], q[3];
rz(0.261165806836198) q[3];
cx q[1], q[3];
cx q[1], q[2];
rz(0.12101517803472463) 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[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];
c... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"IIIZIZI",
"IIIZIIZ",
"IIZZIII",
"IIIIZZI",
"IIIIZIZ",
"IIZIZII",
"IIIZZII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIZIII",
"IIIIZII",
"ZIIIIII",
"IZIIIII"
] | [
-2.5,
-3,
-2.5,
-3,
1,
1.5,
1,
0.5,
-3,
-2.5,
-1,
-2,
-2,
-2.5,
-2.5,
1.5,
0.5,
0.5
] | 0.53971 | [
0.6263656503479739,
0.261165806836198,
0.12101517803472463,
0.15189681694565338,
0.3380947796689693,
1.99238386714047,
1.2268632369201091,
1.1680062610430146
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 203 |
fa12f3a697c97a90a7d75ad197dde7b9 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}]} | {"states": [22, 7], "expectation_value": -1.56669859420301, "params": [[-0.046, 0.0693], [0.0714, -0.0442]], "bitstrings": ["101001", "111000"], "total_optimization_steps": 10, "probabilities": [0.019140889146840694, 0.019443654717690207], "optimization_time": 3.577432632446289} | 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)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 18 | 6 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.135653907332281) q[0];
ry(0.07785783286395775) q[0];
rz(-2.461338086738153) q[0];
rz(2.429152376567284) q[1];
ry(0.2252425377262643) q[1];
rz(-1.0510731615663547) q[1];
rz(-1.956988573421869) q[2];
ry(0.14605112814072668) q[2];
rz(0.30051180833493296) q[2];
rz(-3.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
1.75,
2,
2,
2,
2,
2,
1.75,
2,
2,
-0.75,
-0.75,
-0.75,
-0.25,
-0.25,
-0.25
] | 0.977057 | [
0.23599177523086315,
-0.24128829019517117,
0.08672641127394859,
0.5641813210321281,
0.02724449539707903,
-0.3809606943817887,
0.9600172844814231,
0.10376398558997606,
0.9072997747415072,
-0.031882398092854744,
0.9283660285539568,
-0.18778968286556685,
-0.0006073131649154268,
-0.03282407204... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 26 |
0383062743a6032431a10ba112efca08 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capaci... | {"states": [9698, 8672], "expectation_value": -21.162205964577858, "params": [[-0.0332, -0.0999, 0.3376], [0.4247, 0.17450000000000002, -0.1131]], "bitstrings": ["1101101000011101", "1101111000011111"], "total_optimization_steps": 60, "probabilities": [0.00045680742306771025, 0.00045680742306771085], "optimization_time... | 0.5 * (Z(0) @ Z(13)) + 1.0 * (Z(14) @ Z(13)) + 0.5 * (Z(14) @ Z(0)) + 1.0 * (Z(1) @ Z(13)) + 0.75 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(14)) + -0.5 * (Z(3) @ Z(13)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(14)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(13)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(14)) + -1.0 * (Z(4) @ Z... | 1 | 16 | 3 | {"smallest_eigenvalues": [-26.249999999999876], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.249999999999794, "smallest_bitstrings": ["1101111000011111"], "largest_eigenvalue": 110.99999999999933} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(0.0807544572268105) q[0];
rz(0.22210424958802655) q[0];
rx(0.14837348741577772) q[1];
rz(0.7437791515521079) q[1];
rx(-0.5726519461602206) q[2];
rz(0.0668001890504087) q[2];
rx(-0.0416623057461309) q[3];
rz(0.5367025386426789) q[3];
rx(-0.0008736203876195175) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIIIIIIZ",
"IZZIIIIIIIIIIIII",
"IZIIIIIIIIIIIIIZ",
"IIZIIIIIIIIIIIZI",
"IIIIIIIIIIIIIIZZ",
"IZIIIIIIIIIIIIZI",
"IIZIIIIIIIIIZIII",
"IIIIIIIIIIIIZIIZ",
"IZIIIIIIIIIIZIII",
"IIIIIIIIIIIIZIZI",
"IIZIIIIIIIIZIIII",
"IIIIIIIIIIIZIIIZ",
"IZIIIIIIIIIZIIII",
"IIIIIIIIIIIZIIZI",
"IIIIIII... | [
0.5,
1,
0.5,
1,
0.75,
1,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-1,
1,
-1,
-0.5,
-1,
-1,
0.5,
0.5,
-2,
-1,
-2,
-2,
1,
1,
2,
-0.5,
-0.5,
0.5,
1,
-0.5,
-1,
-1,
1,
2,
2,
-1,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-1,
-0.5,
-0... | 0.97502 | [
0.08075445722681049,
0.6172770534661369,
0.14837348741577772,
0.7437791515521079,
-0.5726519461602206,
0.0668001890504087,
-0.0416623057461309,
0.5367025386426789,
-0.0008736203876195175,
0.5023698595778798,
-0.26926217750859277,
0.4261394456714155,
0.0524983319909367,
0.5768221422270251,
... | {
"n_parameters": 172,
"n_qubits": 16,
"optimal_eigenvalue": -26.24999999999991,
"target_ratio": 0.97,
"target_value": -25.462499999999913
} | 1 |
6d1a9a1cda08ec4eaf9d390307f681d3 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "s... | {"states": [511, 255], "expectation_value": -8.041091763529012, "params": [[[-0.0032, -0.02], [0.0017000000000000001, -0.0019], [-0.0008, -0.0028], [0.0047, -0.0027], [-0.0017000000000000001, -0.0028], [0.0029000000000000002, -0.0026000000000000003], [-0.0016, -0.0024000000000000002], [-0.006200000000000001, 0.0038], [... | -0.5 * (Z(0) @ Z(6)) + -1.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(7)) + -0.5 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(1)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(5) ... | 15 | 9 | 2 | {"smallest_eigenvalues": [-8.75, -8.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.75, "smallest_bitstrings": ["100000000", "100000110"], "largest_eigenvalue": 12.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.07074011565942544) q[0];
ry(-0.034241740674030983) q[1];
ry(-0.02310418963090609) q[2];
ry(0.005094891914534702) q[3];
ry(-0.09267291565237382) q[4];
ry(-0.017933789297370564) q[5];
ry(-0.017844733894503077) q[6];
ry(-1.4761617350858658) q[7];
ry(-0.196414718262419... | 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": []} | [
"IIZIIIIIZ",
"IZZIIIIII",
"IZIIIIIIZ",
"IIIIIZIZI",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIIIIZIII",
"ZIIIIIIZI",
"IIZIIIZII",
"IZIIIIZII",
"IIIIIZZII",
"IIIIIIZZI",
"IIIIZIZII",
"IIZZIIIII",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIZZIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIZIII",
"... | [
-0.5,
-1.25,
-0.25,
-0.25,
1,
-0.5,
-0.5,
-0.75,
-0.25,
-0.25,
-0.25,
-0.75,
-0.5,
-0.75,
-0.25,
-0.25,
-1.5,
-1.25,
-0.25,
0.25,
0.5,
0,
-1,
1,
-0.5,
1.25
] | 0.970829 | [
0.07074011565942544,
-0.034241740674030983,
-0.02310418963090609,
0.005094891914534702,
-0.09267291565237382,
-0.017933789297370564,
-0.017844733894503077,
-1.4761617350858658,
-0.19641471826241974,
-0.01619831545614741,
-0.027941870608550645,
0.021450166630002546,
0.010960213137639908,
0.... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 52 |
cf37919d6a949ddf46d1ba52baad11a7 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [2, 3], "expectation_value": -23.638488140766903, "params": [[[0.1786, -0.3241], [0.2856, 0.1932], [0.5052, -0.0405], [0.17800000000000002, -0.3244], [0.1731, -0.3252], [0.7986000000000001, 0.0036000000000000003], [0.7975, 0.004]], [[0.1746, 0.0057], [0.28650000000000003, 0.0057], [0.5053, 0.0065000000000000... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + 3... | 1 | 7 | 2 | {"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 |
3729892536427209510 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 10, 5], [9, 7], [9, 2], [0, 3], [3, 11, 5], [0, 10], [2, 10], [4, 5], [1, 2, 11], [5, 6], [1, 4, 6], [8, 9, 4], [2, 4], [3, 7], [1, 2, 7], [9, 3], [11, 2, 3], [9, 11], [0, 2, 7], [11, 4, 7]]} | {"states": [1625, 3673], "expectation_value": -1.5670858618347445, "params": [0.7793, 0.0056, 0.7788, 0.0061, 1.0027000000000001, 0.001, 0.9958, -0.0031000000000000003, 0.9998, 0.0067, 0.9951000000000001, 0.0037, 0.6393, -0.20850000000000002, 0.5810000000000001, -0.20400000000000001, 0.7208, -0.1655, 0.7139, 0.00870000... | 0.16666666666666666 * (Z(1) @ Z(10)) + 0.16666666666666666 * (Z(5) @ Z(10)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(2) @ Z(10)) + 0.3333333333333333 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(0) @ Z(10)) + 0.... | 8 | 12 | 1 | {"smallest_eigenvalues": [-5.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.500000000000002, "smallest_bitstrings": ["000110100110"], "largest_eigenvalue": 14.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.096157409761212) q[0];
rz(1.4155179615396518) q[0];
rx(1.1341215102643059) q[1];
rz(-0.10071912196586646) q[1];
cx q[1], q[0];
ry(0.026178195039315188) q[0];
cx q[1], q[0];
ry(1.906354796142335) q[0];
rz(-2.9551619533086866) q[0];
rx(2.2301076075008215) q[1];
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": []} | [
"IZIIIIIIIIZI",
"IZIIIIZIIIII",
"IIIIIIZIIIZI",
"IIIIZIIIIIZI",
"IIZIZIIIIIII",
"IZIIIIIIIZII",
"IIIIIIIIIZZI",
"IIIIZIIIIZII",
"IIZIIIIIIZII",
"IZIIIIIIIIIZ",
"IIIIZIIIIIIZ",
"IIIIIIIIIZIZ",
"IIIIIIZIZIII",
"IIIIZIIIZIII",
"IIZIIIIIZIII",
"IIIIIIIIZZII",
"IIIIIIIIZIIZ",
"ZIIIIIIII... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.3333333333333333,
0.3333333333333333,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666... | 0.975179 | [
1.0961574097612117,
-0.1552783652552449,
1.1341215102643059,
-0.10071912196586646,
2.2402155027049933,
-0.013110861839137573,
-0.1098528615457029,
-0.03409694638369598,
0.5284761496693617,
-0.1590996185110923,
1.9944754181448077,
0.22036286135739058,
0.5598581616104219,
-0.2563800123058459... | {
"n_parameters": 57,
"n_qubits": 12,
"optimal_eigenvalue": -5.833333333333334,
"target_ratio": 0.97,
"target_value": -5.658333333333334
} | 64 |
7448270381232264673 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 4, 5], [2, 3, 5, 7], [3, 5, 6], [0, 2, 3, 4, 7], [0, 1, 2, 3], [1, 3, 4, 5], [1, 2, 5, 7], [0, 1, 5], [0, 1, 6, 7]]} | {"states": [174, 175], "expectation_value": -0.9926927226209101, "params": [[-0.2733], [0.2767]], "bitstrings": ["01010001", "01010000"], "total_optimization_steps": 30, "probabilities": [0.007882469259711948, 0.008153862591084596], "optimization_time": 1.9161286354064941} | 0.21666666666666667 * (Z(0) @ Z(3)) + 0.21666666666666667 * (Z(4) @ Z(3)) + 0.13333333333333333 * (Z(4) @ Z(0)) + 0.41666666666666663 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.21666666666666667 * (Z(2) @ Z(3)) + 0.13333333333333333 * (Z(2) @ Z(0)) + 0.05 * (Z(2) @ Z(4)) + 0.166666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.1999999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0333333333333337, "smallest_bitstrings": ["01010000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.004600844878858208) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.004600844878858208) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.008754334165667663) q[4];
cx q[0], q[4];
h q[5];
cx q[3], q[5];
rz(-0.405233954614816) ... | 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": []} | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IIZIZIII",
"IIZIIIIZ",
"IIZZIIII",
"IIIIZZII",
"IIIIIZIZ",
"IIIZIZII",
"IIZIIZII",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIIZIIII",
"ZIZIIIII",
"ZIIIIZII",
"IZIIZIII",
"IZIIIIIZ",
"IZZIIIII",
"ZZIIIIII",
"IIIIZIZI",
"IIIIIIZZ",
"IIIZIIZI",
"IIZIIIZ... | [
0.21666666666666667,
0.21666666666666667,
0.13333333333333333,
0.41666666666666663,
0.25,
0.16666666666666666,
0.21666666666666667,
0.13333333333333333,
0.05,
0.16666666666666666,
0.13333333333333333,
0.13333333333333333,
0.05,
0.16666666666666666,
0.21666666666666667,
0.16666666666666... | 0.975995 | [
0.004600844878858208,
-0.008754334165667663,
-0.405233954614816,
-0.04367818233733601,
-0.020123188302794238,
0.019140432417582356,
0.021605017859005263,
0.0349153742129555,
1.5377053859907672,
-1.5071937741487618,
-1.6290063908480008,
-1.395384071448864,
-1.3316787812102202,
-1.7082968958... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -2.1999999999999997,
"target_ratio": 0.97,
"target_value": -2.134
} | 114 |
9c1ee192c2f57fe7cc46ca444fd40044 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [32, 1], "expectation_value": -7.942303765670233, "params": null, "bitstrings": ["011111", "111110"], "total_optimization_steps": 18, "probabilities": [0.15643410268844596, 0.8141130102870059], "optimization_time": 11.863633871078491} | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + 2.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.75 *... | 1 | 6 | 3 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.4280305935609409) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.586367014293522) q[4];
cx q[1], q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(-0.586367014293522) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(-0.4280305935609409... | 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[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IZIIZI",
"IZIIIZ",
"IIIZZI",
"IZIZII",
"IIZIZI",
"IZZIII",
"IIZZII",
"ZIIIIZ",
"ZZIIII",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-1,
-0.75,
-0.75,
-0.75,
-0.75,
-1,
-0.5,
-0.75,
2,
-0.25,
-1,
-1.5,
-0.25,
0,
0.25,
0.75,
0.75
] | 0.573914 | [
-0.4280305935609409,
-0.586367014293522,
-0.5941967814927773,
0.9893183086380308,
-0.015078214242113929,
-0.4197495527732082,
-0.00750719659323729,
0.17460404483085798,
0.3564795609965509,
-0.9246051704663378
] | {
"n_parameters": 10,
"n_qubits": 6,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 223 |
d6991d057b315b177a32f1a4a2aac75c | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [26, 11], "expectation_value": -4.489065600766129, "params": null, "bitstrings": ["1100101", "1110100"], "total_optimization_steps": 29, "probabilities": [0.060236477054094864, 0.8645371707798224], "optimization_time": 28.170666217803955} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -2.0 * Z(4) + -1.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["0111100", "1100101", "1110100", "0101101", "1011100"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.8721926881825792) q[0];
rz(pi/2) q[0];
ry(0.011994780182612724) q[1];
ry(1.8959561267241176) q[2];
ry(1.622167989491603) q[3];
ry(1.936090818574434) q[4];
ry(1.7222393404414162) q[5];
ry(1.7301073604748325) q[6];
ry(-0.5782804483051742) q[7];
ry(1.405056998412797... | 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", ... | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZZIII",
"IIIIZZI",
"IIZIZII",
"ZIIIZII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIZII",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-2,
-1,
0,
0
] | 0.977666 | [
-0.8721926881825792,
0.011994780182612724,
1.8959561267241176,
1.622167989491603,
1.936090818574434,
1.7222393404414162,
1.7301073604748325,
-0.5782804483051742,
1.4050569984127974,
-0.07157364265413833,
-0.009412620610943542,
0.06943085401228247,
1.0178640686710358,
0.0472153602388203,
... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -3.9375,
"target_ratio": 0.97,
"target_value": -3.819375
} | 48 |
9d1382902993d8e771af3489e0021226 | 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": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [26, 25], "expectation_value": -4.4999374806790025, "params": null, "bitstrings": ["100101", "100110"], "total_optimization_steps": 28, "probabilities": [1.635688897925884e-05, 0.9999687410137484], "optimization_time": 22.200339317321777} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(4) + -1.0 * Z(5) + -1.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100110"], "largest_eigenvalue": 10.5} | 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... | 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",
"IZIIZI",
"IZIIIZ",
"ZIIIIZ",
"ZZIIII",
"IIZIZI",
"IIZZII",
"ZIZIII",
"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,
-1.5,
-0.5,
-1,
-1,
-1
] | 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 |
1836f56c6aacade8d2873047a951421e | 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": 3, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 18, "source": 1, "target": 7}, {"weight": 13, "source": 1, "tar... | {"states": [250, 234], "expectation_value": -18.94764111294052, "params": [[-0.036500000000000005, 0.0034000000000000002], [0.0738, 0.07]], "bitstrings": ["100000101", "100010101"], "total_optimization_steps": 10, "probabilities": [0.005921806156642324, 0.007910492455583848], "optimization_time": 3.4657108783721924} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 11.5 * Z(1) + 6.0 * Z(0) + 18.0 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 142.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.20266467470833227) q[0];
rz(2.168432193317308) q[0];
rx(0.07081375388277941) q[1];
rz(1.7717666353110797) q[1];
rx(0.13646139574937427) q[2];
rz(1.3847292031501102) q[2];
rx(0.11845607904840359) q[3];
rz(1.5638165193041313) q[3];
rx(-0.36514156036254475) 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", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIZZIIII",
"IIZIIIZII",
"IZIIIZIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"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,
11.5,
6,
18,
11,
4,
12.5,
2,
10.5,
8.5
] | 0.972406 | [
-0.20266467470833233,
0.5976358665224123,
0.07081375388277941,
0.2009703085161829,
0.13646139574937427,
-0.18606712364478684,
0.1184560790484036,
-0.0069798074907648205,
-0.3651415603625448,
-0.3989072995223136,
0.27120050297296056,
0.08141328367978312,
0.0618548223809936,
0.44064280983791... | {
"n_parameters": 110,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 91 |
5497aadc1aba4caf2593a1eb9cf81521 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"sour... | {"states": [138, 139], "expectation_value": -7.02381168176516, "params": [[0.0068000000000000005, 1.0498, -0.0086, -0.0378, -0.0023, 1.0174, 0.0027, 1.1998, 0.7404000000000001], [-0.008700000000000001, 1.0472000000000001, 0.001, 0.0611, -0.0026000000000000003, 1.1800000000000002, 0.0108, 0.7325, -0.2424], [-0.01, 1.052... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) ... | 10 | 9 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["101110100"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.0923377782710246) q[0];
ry(0.826189961341257) q[1];
ry(0.09268868340712312) q[2];
ry(-0.1175036953047354) q[3];
ry(-0.08620091147314983) q[4];
ry(1.1389266741388153) q[5];
ry(0.0029533626449670426) q[6];
ry(1.6165803527448972) q[7];
ry(1.2225026801009469) q[8];
cz ... | 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",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIZIIIIZ",
"IIIZIIZII",
"ZIIIIIIIZ",
"IIZIIIZII",
"IIZZIIIII",
"ZIZIIIIII",
"IIIZIZIII",
"IIZIIZIII",
"ZIIIZIIII",
"IIIIZZIII",
"IZZIIIIII",
"IZIIIZIII",
"IZIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIZIIIII",
"ZIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1.5,
-1.5,
-1,
-2,
-1.5,
-1,
-1
] | 0.975214 | [
0.0923377782710246,
0.826189961341257,
0.09268868340712312,
-0.1175036953047354,
-0.08620091147314983,
1.1389266741388153,
0.0029533626449670426,
1.6165803527448972,
1.2225026801009469,
-0.0023426709537334375,
1.1841313194328675,
-0.018887230730725575,
0.13403275961006603,
0.12001305104914... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 6 |
d2afe27b0de0de0693309013bd4cb7f6 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 5}, {"weight": 15, "source": 1, "target": 4}, {"weight": 11, "source": 1, "target": 3}, {... | {"states": [123, 115], "expectation_value": -8.241782395163288, "params": [[-0.0521], [0.0661]], "bitstrings": ["10000100", "10001100"], "total_optimization_steps": 10, "probabilities": [0.00705482362762687, 0.007936854640657538], "optimization_time": 1.8240103721618652} | 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(2)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 5.5 * Z(0) + 9.5 * Z(2) + 15.5 * Z(3) + 1.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-60.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.5, "smallest_bitstrings": ["10001100"], "largest_eigenvalue": 127.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.6603319576342586) q[0];
rz(-pi) q[1];
ry(-3.09132270976154) q[1];
h q[2];
ry(-1.59277342892783) q[2];
h q[3];
ry(10.929252278696099) q[3];
h q[4];
rz(-pi) q[5];
ry(-3.0980243226886683) q[5];
rz(-pi) q[6];
ry(-1.4685334302306399) q[6];
cx q[3], q[6];
ry(-0.2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIZII",
"IIZIIIZI",
"IIZIZIII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11,
5.5,
9.5,
15.5,
1,
11,
14,
12
] | 0.970121 | [
10.929252278696099,
-0.5854890024487437,
-15.870510362502078,
-2.371832064547635,
3.190282941504731,
0.5296199822347359,
-3.151836567617419,
33.118537899059916,
-1.59277342892783,
1.6603319576342586,
10.629557319388375,
3.048407594216927,
-37.408128681922456,
-0.017677031990097333,
-0.14... | {
"n_parameters": 61,
"n_qubits": 8,
"optimal_eigenvalue": -60.5,
"target_ratio": 0.97,
"target_value": -58.684999999999995
} | 63 |
16e531ebd5c4fa365456c9500ea8e716 | 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": -3.1496741006816054, "params": [[-0.0594], [0.061900000000000004]], "bitstrings": ["0111001", "1111000"], "total_optimization_steps": 10, "probabilities": [0.010519506668787048, 0.010644110456189453], "optimization_time": 3.838209390640259} | 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 ... | 18 | 7 | 1 | {"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(-0.17931700348995208) q[0];
rz(-0.5295651513983046) q[0];
rx(0.1383091762588557) q[1];
rz(-2.4427159179592346) q[1];
rx(0.19192920998953547) q[2];
rz(0.7692060885471252) q[2];
rx(0.010941951037614334) q[3];
rz(1.0249064769628937) q[3];
rx(3.3823159256033737) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0)... | {"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,
2.5,
2.25,
2.25,
2.5,
2.5,
-3.25,
-3.5,
-3.5,
-3.5,
-3,
-2.75,
-3
] | 0.970005 | [
-0.17931700348995208,
-0.5295651513983046,
0.1383091762588557,
-2.4427159179592346,
0.19192920998953547,
0.7692060885471252,
0.010941951037614334,
1.0249064769628937,
3.3823159256033737,
0.76377487209716,
2.7495714135870237,
0.6576922218401471,
3.0317260152509355,
-2.4912281243830905
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 29 |
18eef7556e7c99f2056daf5370482c12 | 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": 2, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 3}, {"weight": 20, "source": 0, "target": 5}, {"weight": 18, "source": 1, "tar... | {"states": [235, 234], "expectation_value": -11.481680469348618, "params": [[0.033800000000000004], [-0.067]], "bitstrings": ["100010100", "100010101"], "total_optimization_steps": 10, "probabilities": [0.003601048303935416, 0.0041693454831980906], "optimization_time": 2.1298611164093018} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 170.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-1.910725201830011) q[0];
rz(-pi) q[0];
h q[1];
ry(14.226814631084332) q[1];
rz(-pi) q[2];
ry(-2.8276055261302573) q[2];
rz(-pi) q[3];
ry(-0.6037335772354969) q[3];
h q[4];
ry(-2.503200618475903) q[5];
rz(-pi) q[5];
cx q[1], q[5];
ry(-0.634351839760383) q[5];
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;
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", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
15,
5.5,
23.5,
18,
0.5,
22.5,
13,
5.5,
-1
] | 0.972353 | [
23.579116185633968,
63.12990552371649,
12.80359732253481,
14.226814631084332,
1.268703679520766,
-17.389883838771233,
4.50366295300341,
0.28630146122490274,
2.0891079396670342,
-41.664855259309064,
-18.144190662538225,
50.08291549902295,
-0.7897217290145451,
6.876816994677622,
49.5161117... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -89,
"target_ratio": 0.97,
"target_value": -86.33
} | 104 |
9c2f02be2c499f1518832ddbbd315206 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [35, 97], "expectation_value": -0.5693945822135967, "params": [[-0.038900000000000004, -0.0341, -0.0437, -0.038900000000000004], [0.0568, 0.0323, 0.0492, 0.0458]], "bitstrings": ["1011100", "0011110"], "total_optimization_steps": 10, "probabilities": [0.010936811212700981, 0.010936811212700981], "optimizatio... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + -2.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011110", "1001101", "1011100", "0101011", "1111000", "0111010", "0001111", "1101001"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-2.901167588346981) q[0];
rz(-0.2105070273682461) q[0];
rx(0.20971789230352275) q[1];
rz(0.657866821689816) q[1];
rx(0.062455288276377335) q[2];
rz(-1.11430263207646) q[2];
rx(0.21409063416784044) q[3];
rz(-0.03728581354816862) q[3];
rx(3.071209421739293) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IZIZIII",
"IZIIIIZ",
"IIIZIZI",
"IIZIIZI",
"IIIZZII",
"ZIIZIII",
"ZIIIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIZIIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-0.5,
-0.5,
0,
-0.5,
-0.5
] | 0.971256 | [
3.3820177188326053,
-0.07486301144683405,
0.20971789230352275,
0.2140906341678404,
0.062455288276377335,
-0.6255287633609229,
0.35834076480290283,
3.071209421739293,
-0.04907887639235431,
-0.1210173864240168,
-0.8796050668496838,
3.524195307406011,
-0.9175017165581438,
-0.06560165821150515... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 23 |
91fd701868951eab612ba86420778b2e | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [1, 3], "expectation_value": -12.854537807693006, "params": [0.0913, 0.26180000000000003, 0.0897, 0.2651, 0.0848, 0.2431, 0.0585, 0.274, 0.49300000000000005, 0.12340000000000001, 0.4965, 0.12510000000000002, 0.08750000000000001, 0.2456, 0.0849, 0.2649, 0.0852, 0.2523, 0.062400000000000004, 0.2795, 0.4878, 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(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.5 ... | 3 | 6 | 4 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.6046606131929824) q[0];
rz(-pi) q[0];
ry(-0.2754248126532229) q[1];
rz(-pi) q[1];
ry(-1.397078670391102) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.7131691907790075) q[3];
cx q[3], q[2];
ry(0.10320605458857647) q[2];
cx q[3], q[2];
ry(-0.09157489833333138) q[3];
ry(-0.4233... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
-5.75,
-5.75,
-5.75,
-6.25,
-5.25,
-5.25
] | 0.970876 | [
-0.7131691907790075,
-0.6029729944224574,
-0.9519977999790217,
-0.0705116018152183,
-0.6867474283253041,
-0.7263254383589139,
-0.20641210917715294,
-0.18314979666666276,
1.246074321202835,
-0.16302890953712407,
0.9836842123631419,
-0.8467113254691783,
-0.29282426768644043,
0.51295746069054... | {
"n_parameters": 35,
"n_qubits": 6,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 32 |
3edaf02080dd4f2f34de124f69ca8c1c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [10, 20], "expectation_value": -0.4184597542833465, "params": [[-0.0514], [0.0665]], "bitstrings": ["1110101", "1101011"], "total_optimization_steps": 10, "probabilities": [0.008647826860498293, 0.008647826860498295], "optimization_time": 1.960374116897583} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.5, "smallest_bitstrings": ["1101011", "0011111", "0111011", "1110101", "0111101"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.14998177780010405) q[0];
ry(3.132322744548159) q[1];
ry(0.2101142822892196) q[2];
ry(2.7281837271741396) q[3];
ry(-0.09003865728064556) q[4];
ry(-0.1262149678024054) q[5];
ry(-0.45465218275571384) q[6];
ry(-0.04767636880660755) q[7];
ry(0.3325816228502928) q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"ZIIIZII",
"ZIIIIIZ",
"ZIIZIII",
"IIIIZZI",
"IIIZIZI",
"ZIIIIZI",
"IIZZIII",
"ZIZIIII",
"IIZIIZI",
"IZIIZII",
"ZZIIIII",
"IZIIIZI",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIIZI",
"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,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-2,
-2.5,
-2,
-1.5,
-1.5
] | 0.973959 | [
-0.14998177780010405,
3.132322744548159,
0.2101142822892196,
2.7281837271741396,
-0.09003865728064556,
-0.1262149678024054,
-0.45465218275571384,
-0.04767636880660755,
0.3325816228502928,
0.018934541355018666,
0.2554664640480989,
0.19204851447096838,
2.677386516937803,
-0.16576950063786064... | {
"n_parameters": 32,
"n_qubits": 16,
"optimal_eigenvalue": -4.7187500000000036,
"target_ratio": 0.97,
"target_value": -4.5771875000000035
} | 20 |
61fc58e7ea5c0b858181cef6a00713e4 | 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": 4, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 6}, {"weight": 6, "source": 2, "target": 3}, {"weight": 13, "source": 2, "targ... | {"states": [444, 188], "expectation_value": -11.96404197012844, "params": [[-0.0385], [0.07540000000000001]], "bitstrings": ["001000011", "101000011"], "total_optimization_steps": 10, "probabilities": [0.0040376799301321065, 0.004876837378608721], "optimization_time": 2.0073394775390625} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 9.0 * Z(1) +... | 1 | 9 | 1 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["101000011"], "largest_eigenvalue": 154.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.02185145395977517) q[0];
cx q[1], q[0];
rz(-0.5588018792017229) q[0];
rx(-0.27985469452490175) q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.02185145395977517) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(0.02185145395977517) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIZIIIZII",
"IIZIZIIII",
"IIIZIZIII",
"IIIZIIZII",
"IIZZIIIII",
"IZIIIZIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII",
"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,
9,
-2.5,
15.5,
12,
18.5,
15,
17,
0.5,
6
] | 0.975691 | [
0.02185145395977517,
1.4317424449049956,
-0.5588018792017233,
1.5603082420547552,
0.19242374383339958,
1.3485735240723389,
1.011065840572277,
1.498856394896067,
-1.3092618702660563,
-0.32745955943144156,
-0.2798546945249017,
0.11900811374185843,
0.3243858040133379,
-0.6130932728853596,
0... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -86,
"target_ratio": 0.97,
"target_value": -83.42
} | 53 |
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": 21.63305425643921} | 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 | 4 | {"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 |
5bfd79024282ae69c62758a244a2de56 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [5, 9], "expectation_value": -2.1621562925457933, "params": [-0.0025, 0.5236000000000001, -0.002, 0.5322, 0.6773, 0.24880000000000002, 0.6091, 0.3844, 0.0004, 0.4676, 0.6992, 0.191, -0.0033, 0.5269, -0.0056, 0.5202, 0.6158, 0.2713, 0.36100000000000004, 0.4436, 0.0008, 0.4733, 0.6957, 0.1965, -0.0024000000000... | 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... | 3 | 6 | 4 | {"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... | 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",
"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 |
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": [32, 31], "expectation_value": -0.08216818781359397, "params": [[-0.0329, 0.0049], [0.0373, 0.0051]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.0163930615367138, 0.01648465145291344], "optimization_time": 2.83365535736084} | -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 | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"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 |
8143ff5038ff2495220c230c47e8a420 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [394, 398], "expectation_value": -45.14057374547315, "params": [[[0.0033, 0.1145], [0.9066000000000001, 0.006200000000000001], [0.655, 0.3038], [-0.0785, 0.4056], [0.6245, -0.15330000000000002], [0.2419, 1.1082], [0.1269, 0.7938000000000001], [0.8679, 1.0967], [1.0995000000000001, 1.098]], [[0.662, 0.2653000... | 7.0 * (Z(2) @ Z(0)) + 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(7) @ Z(0)) + 7.0 * (Z(8) @ Z(7)) + 14.0 * Z(0) + 3.0 * Z(2) + 9.0 * Z(1) + 1.0 * Z(4) + 8.5 * Z(6) + 10.0 * Z(5) + 8.5 * Z(7) + -6.5 * Z(8) + -13.0 * Z(3) | 15 | 9 | 2 | {"smallest_eigenvalues": [-79.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["001110001"], "largest_eigenvalue": 116.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.4393940573307755) q[0];
ry(1.6986001170907143) q[1];
ry(-0.07317631602555238) q[2];
ry(-0.3370254099058403) q[3];
ry(-0.039640610101385185) q[4];
ry(0.2615270381717149) q[5];
ry(-0.08569214669373808) q[6];
ry(-0.04203841484494011) q[7];
ry(1.585860361866289) q[8];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIZIZIIII",
"IIIZZIIII",
"IIZZIIIII",
"IZIIIIIIZ",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIZIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
14,
3,
9,
1,
8.5,
10,
8.5,
-6.5,
-13
] | 0.972382 | [
-0.4393940573307755,
1.6986001170907143,
-0.07317631602555238,
-0.3370254099058403,
-0.039640610101385185,
0.2615270381717149,
-0.08569214669373808,
-0.04203841484494011,
1.585860361866289,
-0.009129774828143686,
0.015158675770737734,
0.13863799758638512,
-0.11533775920311651,
-0.180482374... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -79.5,
"target_ratio": 0.97,
"target_value": -77.115
} | 45 |
b575860502e0560613ed09a59a899ee7 | 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": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [215, 223], "expectation_value": -1.9723869855519534, "params": [[-0.0548, -0.0728], [0.062200000000000005, 0.0711]], "bitstrings": ["100101000", "100100000"], "total_optimization_steps": 10, "probabilities": [0.004357266197008304, 0.004540529435909686], "optimization_time": 3.7696871757507324} | -0.75 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(8) @ Z(2)) + 2.25 * (Z(8) @ Z(0)) + -1.25 * (Z(8) @ Z(1)) + -1.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(6)) + -0.25 * (Z(4) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-13.75, -13.75, -13.75, -13.75, -13.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -12.75, "smallest_bitstrings": ["100111110", "100100000", "100101110", "100101100", "100101000"], "largest_eigenvalue": 14.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.6747571563390294) q[0];
h q[1];
ry(1.5707963238176894) q[1];
h q[2];
ry(0.7853981619088447) q[2];
cx q[1], q[2];
ry(-0.7853981619088447) q[2];
cx q[1], q[2];
h q[3];
ry(-1.3495143126780589) q[3];
h q[4];
ry(0.5128520253092295) q[4];
ry(-0.1436995236604681)... | 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": []} | [
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIZIZIII",
"IIIZIIIZI",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"IZIIIZIII",
"IZZIIIIII",
"IZIIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIIZIIIII",
"ZIIIIIIII",
"IIZIIIIII",
"... | [
-0.75,
-1.25,
-1,
-0.5,
-0.25,
-1,
2.25,
-1.25,
-1.5,
-0.25,
-0.75,
-0.5,
-0.75,
-0.25,
0.75,
-0.25,
-2.5,
2.5,
-0.5,
0,
-1.25,
1,
0.25
] | 0.944693 | [
1.5707963238176894,
-1.3495143126780589,
1.1712080563313636,
-0.1669381602266709,
0.37137860651958127,
-1.2833972152299074,
-1.646619630057409,
-0.47114339462441057,
0.028209621441536343,
1.025704050618459,
3.195662669943168e-8,
-0.25795750505028736,
0.5157535956890039,
8.828875549406355e-... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 407 |
bd9e0113c93c45b06b4996cff164358f | 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": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"sour... | {"states": [255, 254], "expectation_value": -23.538855007238713, "params": [[[0.002, 3.1588000000000003], [0.0026000000000000003, 0.0032], [0.0029000000000000002, -0.0028], [0.0018000000000000002, 0.0023], [0.0019, 0.002], [0.0022, 0.0021000000000000003], [-1.6504, 0.0023], [0.0026000000000000003, 0.002]]], "bitstrings... | -3.0 * (Z(0) @ Z(2)) + 1.0 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(0)) + 1.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + -3.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -3.0 * (Z(5) @ Z(1)) + -3.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(1)) + 1.0 ... | 15 | 8 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["00000001"], "largest_eigenvalue": 23.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.07616796533950228) q[0];
h q[1];
ry(0.07616796533950228) q[1];
h q[2];
ry(0.07616796533950228) q[2];
h q[3];
ry(0.07616796533950228) q[3];
h q[4];
ry(0.07616796533950228) q[4];
h q[5];
cx q[5], q[1];
ry(-0.07616796533950228) q[1];
cx q[5], q[1];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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;
ry(x0) q[0];
ry(x1... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIZIZII",
"IIIZIIIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIZIIZI",
"IIZIIZII",
"IIZIIIIZ",
"IIZZIIII",
"IIZIIIZI",
"IZIIIZII",
"IZIIIIIZ",
"IZIZIIII",
"IZIIIIZI",
"IZZIIIII",
"IIIIZZII",
"IIIIZIIZ",
"IIIIZIZI",
"IIZIZIII",
"IZIIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIII... | [
-3,
1,
-2.5,
1,
0.5,
-2.5,
-3,
0.5,
0.5,
-3,
-3.5,
1,
-2.5,
-2.5,
1,
-2.5,
0.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.971094 | [
0.15233593067900456,
1.3466517223532093,
1.1743373374464443,
1.9699103012595947,
-0.11289507547920273,
-0.19805369152511781,
0.10730586163778556,
-0.3375600836328495,
-0.10619940126435479,
0.10251657365838052,
0.186792262758056,
-0.09801680957948457,
-0.38076699497540234,
0.102598638687684... | {
"n_parameters": 57,
"n_qubits": 8,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 163 |
788893f2d0502b688315a8e438b63984 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 7, "s... | {"states": [510, 255], "expectation_value": -22.12304677843198, "params": [[[0.0043, 0.0071], [0.0033, 2.057], [0.0031000000000000003, 0.002], [0.0018000000000000002, 0.0021000000000000003], [-0.0021000000000000003, 0.0021000000000000003], [0.0014, -0.0026000000000000003], [0.0024000000000000002, 0.002], [0.17950000000... | -0.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(0)) + 4.25 * (Z(8) @ Z(0)) + -1.5 * (Z(8) @ Z(6)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.75 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(2)) + -1.5 * (Z(7) @ Z(6)) + -1.75 * (Z(7) @ Z... | 15 | 9 | 3 | {"smallest_eigenvalues": [-22.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 21.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.2093917706819032) q[0];
ry(0.04127060081754783) q[1];
ry(-0.019569081278429344) q[2];
ry(-0.019569081278429344) q[3];
ry(0.02197258751737647) q[4];
ry(0.007840515537099434) q[5];
ry(0.017628468198506612) q[6];
ry(-0.16118253539208177) q[7];
ry(1.187256182683395) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIIIZIZI",
"IIIIIZZII",
"IZIIIIIZI",
"IZIIIIZII",
"IZZIIIIII",
"ZZIIIIIII",
"IZIIIZIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZZIIII",
"IIZZIIIII",
"ZIIZIIIII",
"IIIZIZIII",
"... | [
-0.5,
-1.5,
-1.5,
-0.25,
-0.5,
-1.75,
4.25,
-1.5,
-0.75,
-1,
-1.75,
-0.5,
-1.5,
-1.75,
-1.75,
-1.5,
-1,
-1,
-1.25,
-1,
-1.5,
-2.25,
-2.5,
-0.25,
-1.5,
0.75,
2.5,
0,
0.5,
1,
-0.5
] | 0.970357 | [
0.2093917706819032,
0.04127060081754783,
-0.019569081278429344,
0.02197258751737647,
0.007840515537099434,
0.017628468198506612,
-0.16118253539208177,
1.187256182683395,
-0.443443102884173,
0.006207324591877363,
-0.005541982139036582,
-0.03896894827650145,
-0.01956509030862061,
-0.00227828... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -22.75,
"target_ratio": 0.97,
"target_value": -22.0675
} | 56 |
e4e902d97ba530f1316e54d3eb408a10 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [683, 939], "expectation_value": -2.2396527030579034, "params": [[[1.5712000000000002, 0.0081, 0.0095, 0.0004], [0.45790000000000003, 0.0027, 1.3362, 0.0091], [1.5994000000000002, 0.0041, 0.001, 0.0066], [0.37410000000000004, -0.011600000000000001, 1.5851000000000002, 0.0082], [-0.0029000000000000002, 0.0075... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(3) @ Z(7)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(5) @ Z(3) @ Z(6)) + -0.125 * (Z(5) @ Z(3) ... | 12 | 11 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -2.25, "smallest_bitstrings": ["00101010100", "10011000010", "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];
cx q[4], q[0];
rz(0.20474932317858316) q[0];
cx q[4], q[0];
h q[5];
cx q[0], q[5];
rz(0.20474932317858316) q[5];
cx q[0], q[5];
cx q[5], q[2];
rz(0.20474932317858316) q[2];
cx q[5], q[2];
h q[6];
cx q[4], q[6];
rz(0.20474932317858... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIZIIZIII",
"IIIZIIIZIII",
"IIIIZZIIIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IIIIZZIZIII",
"IIIZIZIZIII",
"IIIZZIIZIII",
"IIIZZZIIIII",
"IIIZZZIZIII",
"IIZIIZIIIII",
"IZIIIZIIIII",
"IZZIIIIII... | [
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,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
... | 0.801209 | [
0.20474932317858316,
-0.3240348787124287,
-1.2280362453781932,
0.9491017238101566,
-1.2025271500568493,
0.7929478611771115,
-1.1200018461967594,
-1.53273361901408,
-0.37000974357398864,
-0.4997670003334295
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 253 |
-2475574848519700943 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 5, 6, 8], [0, 1, 2, 3, 4, 6, 7, 10], [9, 10, 5, 6], [0, 1, 3, 5, 6], [8, 9, 10], [0, 1, 2, 4, 5, 7, 8, 10], [1, 2, 3, 4, 5, 6, 7, 8, 10]]} | {"states": [1997, 2005], "expectation_value": -1.4686044347133738, "params": [2.1048, 1.0350000000000001, 1.3409, 1.8010000000000002, 1.5571000000000002, 1.5803, 1.5929, 1.5428000000000002, 2.1183, 1.0043, 2.2593, 1.2378, 0.8388, 0.595, 0.8442000000000001, 2.2539000000000002, 1.5086000000000002, 1.6382, 1.6183, 1.5258,... | 0.08571428571428572 * (Z(0) @ Z(3)) + 0.08174603174603176 * (Z(6) @ Z(3)) + 0.11785714285714285 * (Z(6) @ Z(0)) + 0.08174603174603176 * (Z(7) @ Z(3)) + 0.11785714285714287 * (Z(7) @ Z(0)) + 0.19722222222222224 * (Z(7) @ Z(6)) + 0.08174603174603176 * (Z(9) @ Z(3)) + 0.06785714285714287 * (Z(9) @ Z(0)) + 0.08174603174603... | 14 | 11 | 1 | {"smallest_eigenvalues": [-1.5071428571428576, -1.5071428571428576, -1.5071428571428576], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.5071428571428571, "smallest_bitstrings": ["00000101010", "00000001110", "01010000001"], "largest_eigenvalue": 6.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(2.209214415439607) q[0];
rz(pi/2) q[0];
ry(1.4330661838576866) q[1];
ry(1.537156039548637) q[2];
ry(1.5048702282896813) q[3];
ry(2.1121229726104476) q[4];
ry(2.3436682054147835) q[5];
ry(1.0859670502844223) q[6];
ry(0.7862032654170589) q[7];
ry(1.5155347610951373) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIIZIIZIII",
"IIIIZIIIIIZ",
"IIIZIIIZIII",
"IIIZIIIIIIZ",
"IIIZZIIIIII",
"IZIIIIIZIII",
"IZIIIIIIIIZ",
"IZIIZIIIIII",
"IZIZIIIIIII",
"IIIIIIIZIZI",
"IIIIIIIIIZZ",
"IIIIZIIIIZI",
"IIIZIIIIIZI",
"IZIIIIIIIZI",
"IIIIIIZZIII",
"IIIIIIZIIIZ",
"IIIIZIZIIII",
"IIIZIIZII... | [
0.08571428571428572,
0.08174603174603176,
0.11785714285714285,
0.08174603174603176,
0.11785714285714287,
0.19722222222222224,
0.08174603174603176,
0.06785714285714287,
0.08174603174603176,
0.06388888888888888,
0.0496031746031746,
0.08571428571428572,
0.08174603174603176,
0.0817460317460317... | 0.974561 | [
2.209214415439607,
1.4330661838576866,
1.537156039548637,
1.5048702282896813,
2.1121229726104476,
2.3436682054147835,
1.0859670502844223,
0.7862032654170589,
1.5155347610951373,
1.7309409895389367,
1.6674917269396008,
-0.0720936338167961,
0.10075160629893873,
0.0270126594701555,
-0.17276... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -1.5071428571428576,
"target_ratio": 0.97,
"target_value": -1.4619285714285717
} | 3 |
a23c4227147ee94f6ac9a28f6322c5d1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target":... | {"states": [256, 288], "expectation_value": -29.777552891686426, "params": [0.0025, 0.8241, 1.7066000000000001, 0.0089, 3.1389, 0.0, 0.0024000000000000002, 0.0058000000000000005, 0.0022, 0.9792000000000001, -1.6263, 0.007500000000000001, 0.0024000000000000002, 0.010100000000000001, 0.0025, 0.01, 0.0025, 0.0032, 0.0025,... | -0.25 * (Z(0) @ Z(4)) + -1.5 * (Z(6) @ Z(4)) + -1.75 * (Z(6) @ Z(0)) + -0.75 * (Z(8) @ Z(4)) + -1.25 * (Z(8) @ Z(0)) + -1.5 * (Z(1) @ Z(8)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(9) @ Z(6)) + -1.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(3)) + -2.75 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(6)) + -1.75 * (Z(7) @ Z(3)) + -1.75 * (Z(5) @... | 4 | 11 | 1 | {"smallest_eigenvalues": [-30.25, -30.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -29.25, "smallest_bitstrings": ["10011011111", "11011011111"], "largest_eigenvalue": 39.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.00542365915757386) q[0];
rz(2.504904517790415) q[0];
rx(1.699840631595003) q[1];
rz(1.5528008927364834) q[1];
rx(-3.131911647158737) q[2];
rz(1.6423267643072892) q[2];
rx(0.03638940826311916) q[3];
rz(1.6233971302738395) q[3];
rx(-0.03517050872437614) q[4];
rz(2.5... | 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": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIZIZIIII",
"IIIIZIIIIIZ",
"IIZIIIZIIII",
"IIZIIIIIIIZ",
"IIZIIIIIIZI",
"IIIIZIIZIII",
"IZIIZIIIIII",
"IZZIIIIIIII",
"IZIIIIIZIII",
"IIIZIIZIIII",
"IIIZZIIIIII",
"IIIZIIIZIII",
"IIIIZZIIIII",
"IZIIIZIIIII",
"ZIIIZIIIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"ZIIZIIIII... | [
-0.25,
-1.5,
-1.75,
-0.75,
-1.25,
-1.5,
-0.5,
-1,
-1.5,
-1.5,
-2.75,
-0.5,
-1.75,
-1.75,
-0.5,
-1,
-1,
-1.75,
-1,
-1.25,
3.5,
-0.25,
-1.75,
2.75,
-0.25,
-3.75,
-4,
1.5,
-0.75,
2.25,
2.5,
2.25,
-4,
1.5
] | 0.987579 | [
0.005423659157573859,
0.9341081909955185,
1.6998406315950032,
-0.01799543405841323,
3.1512736600208497,
0.07153043751239234,
0.03638940826311917,
0.052600803478943,
-0.035170508724376146,
0.9600892639279087,
-1.9060852782959583,
-0.04903193913475492,
-0.023723034318677734,
0.01562121976734... | {
"n_parameters": 27,
"n_qubits": 11,
"optimal_eigenvalue": -30.25,
"target_ratio": 0.97,
"target_value": -29.342499999999998
} | 1 |
ad1ac98d2a374df439432fe378bbbe81 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 9}, {"capacity": 3, "source": 1, "target": 3}, {"capac... | {"states": [1, 17], "expectation_value": -9.247763711303717, "params": null, "bitstrings": ["1111111110", "1111101110"], "total_optimization_steps": 28, "probabilities": [0.4979185103032572, 0.49984737581126437], "optimization_time": 40.292380571365356} | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(9) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(9)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(7)) + -1.25 * (Z(8) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-9.25, -9.25, -9.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -8.25, "smallest_bitstrings": ["1000000000", "1111111110", "1111101110"], "largest_eigenvalue": 9.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.0801147679992092) q[0];
rz(2.0230024860443585) q[0];
rx(-0.05486193411688716) q[1];
rz(2.1493284760763434) q[1];
rx(0.08448197820253409) q[2];
rz(2.0480345174987757) q[2];
rx(0.028854398217909326) q[3];
rz(2.0582631838348187) q[3];
rx(0.0008718496037206092) q[4];... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5... | [
"IIIIIIIIZZ",
"ZIIIIIIIIZ",
"IIIIIIZIZI",
"IIIIIIIZZI",
"ZIIIIIIZII",
"IIZIIIZIII",
"IIZIIIIZII",
"IIIZIIIIZI",
"IIIZIIZIII",
"IIIZIIIZII",
"IIZZIIIIII",
"IZIIIIZIII",
"IZZIIIIIII",
"IZIZIIIIII",
"IIIIIZIIZI",
"IIIZIZIIII",
"IZIIZIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"ZIIIIIIIII"... | [
-0.25,
0.5,
-0.75,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
-0.75,
-1.25,
-0.75,
-0.5,
-0.25,
-1,
-0.25,
0.25,
0.75,
0,
0,
1.5,
-1.75,
0.25,
0.25
] | 0.970982 | [
-0.08011476799920919,
0.4522061592494613,
-0.054861934116887154,
0.5785321492814464,
0.08448197820253407,
0.4772381907038794,
0.028854398217909322,
0.48746685703992193,
0.0008718496037206092,
0.41142100132440196,
-0.16018453689638,
-0.0979158832060109,
0.11953026359847133,
0.53717453884588... | {
"n_parameters": 54,
"n_qubits": 10,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 9 |
a3571c19d72a014065614d323aff3379 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [4, 5], "expectation_value": -1.9923006384189417, "params": [[[-0.0027, 0.6733], [-0.0022, 0.656], [0.7546, -0.0505], [0.9026000000000001, 0.0013000000000000002], [-0.0029000000000000002, 0.6682], [0.8064, -0.0056]], [[-0.0027, 0.0021000000000000003], [-0.0022, 0.0081], [0.7598, 0.0067], [0.9022, 0.001700000... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(5... | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.875, -2.875], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.875, "smallest_bitstrings": ["111010", "110011"], "largest_eigenvalue": 5.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.362712956693458) q[0];
h q[1];
ry(-0.362712956693458) q[1];
h q[2];
ry(-0.362712956693458) q[2];
h q[3];
cx q[3], q[2];
ry(0.362712956693458) q[2];
cx q[3], q[2];
ry(-0.8545707286531208) q[2];
ry(1.2709249526324335) q[3];
h q[4];
cx q[4], q[0];
ry(0.362712... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZZI",
"IIZIZI",
"IIIIZZ",
"IIZZII",
"IIIZIZ",
"IIZIIZ",
"IIZZZI",
"IIIZZZ",
"IIZIZZ",
"IIZZIZ",
"IIZZZZ",
"ZIIZII",
"IZZIII",
"ZIZIII",
"ZZIIII",
"ZZZIII",
"IIIIZI",
"IIIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII"
] | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.625,
-0.125,
0.125,
-0.625,
-0.75,
-0.25
] | 0.975572 | [
-0.725425913386916,
1.0706273462922709,
1.3425111777435603,
0.63039906660102,
-0.680705231014584,
-0.40156305610165266,
-0.260757100747384,
0.5178049646920392,
0.4005952126803254,
-0.5439106489094752,
0.08432570462335529,
-0.40927439929699994,
-0.3477309952770732,
0.042917048675201463,
-... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 20 |
5a12fc3b9ebd59a3b68795f0bd90935e | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [42, 50], "expectation_value": -4.499937480746295, "params": null, "bitstrings": ["010101", "001101"], "total_optimization_steps": 28, "probabilities": [1.6356918706669808e-05, 0.9999687410148377], "optimization_time": 17.857802629470825} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -1.0 * Z(1) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["001101"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(1.1435948285215511e-07) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(1.1435948285215511e-07) q[1];
cx q[2], q[1];
rz(-0.5698699266786225) q[2];
rx(0.6578008209073697) q[2];
h q[3];
cx q[0], q[3];
rz(1.1435948285215511e-07) q[3];
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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"IIZIZI",
"ZIIIZI",
"IZZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIIZI",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-1.5,
-1,
-0.5
] | 0.777778 | [
1.1435948285215511e-7,
-0.5698699266786227,
0.8976760148695336,
0.858764150438184,
0.6578008209073697,
-2.2179312215672304e-7,
-0.7323750322594127,
-0.1837825357866761,
-0.09561625248230032,
0.3664649548078836,
2.7031261787381847e-7,
-0.4507353837506744,
1.1904463292135272,
1.1313235119654... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 397 |
dd2cbc0832de721030b1d6a15eb211d5 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "source": 0, "target": 10}, {"capacity": 4, "source":... | {"states": [2047, 1535], "expectation_value": -40.12509708766696, "params": [[[-0.0035, 0.3083], [-0.0039000000000000003, -0.0024000000000000002], [0.6439, 0.0048000000000000004], [-0.0002, 0.0041], [0.0006000000000000001, -0.0021000000000000003], [-0.0043, -0.0022], [-0.0028, 0.0035], [-0.0026000000000000003, -0.0023]... | -0.75 * (Z(0) @ Z(10)) + -0.75 * (Z(2) @ Z(0)) + -1.75 * (Z(1) @ Z(10)) + -0.5 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -3.5 * (Z(5) @ Z(10)) + -1.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(1)) + -1.0 * (Z(7) @ Z(10)) + -2.75 * (Z(7) @ Z(1)) + -2.25 * (Z(... | 15 | 12 | 4 | {"smallest_eigenvalues": [-41.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -39.0, "smallest_bitstrings": ["101000000000"], "largest_eigenvalue": 43.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.05386807332732299) q[0];
ry(-0.3246551364020594) q[1];
ry(0.8830480899476494) q[2];
ry(0.08760343196632353) q[3];
ry(0.07441336486188768) q[4];
ry(0.11060215143588531) q[5];
ry(0.06235730966129646) q[6];
ry(0.10877929249539542) q[7];
ry(0.04935492130788273) 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": 11} | {"circuits": [], "gradients": []} | [
"IZIIIIIIIIIZ",
"IIIIIIIIIZIZ",
"IZIIIIIIIIZI",
"IIIIIIIIIZZI",
"IIIIIIIZIIZI",
"IZIIIIZIIIII",
"IIIIIIZIIZII",
"IIIIIIZIIIZI",
"IIIIIIZZIIII",
"IIIIIZIIIZII",
"IIIIIZIIIIZI",
"IZIIZIIIIIII",
"IIIIZIIIIIZI",
"IIIIZIIZIIII",
"IIIIZIZIIIII",
"IIZIIIIIIIZI",
"IIZIIIIZIIII",
"ZZIIIIIII... | [
-0.75,
-0.75,
-1.75,
-0.5,
-1,
-3.5,
-1.25,
-1,
-1.5,
-1.5,
-1.75,
-1,
-2.75,
-2.25,
-0.5,
-0.5,
-3,
-1.5,
-0.25,
-0.5,
-1.5,
-1.75,
-0.75,
-1.75,
-1,
-2.25,
-1.5,
1.75,
-1.75,
3.75,
-0.25,
-4.5,
2.25,
1,
-1.25,
1.25,
-4,
-0.75,
3.25,
0.7... | 0.970167 | [
0.05386807332732299,
-0.3246551364020594,
0.8830480899476494,
0.08760343196632353,
0.07441336486188768,
0.11060215143588531,
0.06235730966129646,
0.10877929249539542,
0.04935492130788273,
0.017738188681482046,
-0.031428228272181044,
3.2522352081783255,
-0.0036882605119728483,
-0.0541119684... | {
"n_parameters": 41,
"n_qubits": 12,
"optimal_eigenvalue": -41,
"target_ratio": 0.97,
"target_value": -39.769999999999996
} | 14 |
-9064799015260102294 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4, 7], [2, 3], [0, 1, 4], [5, 6], [3, 5], [0, 6, 7]]} | {"states": [219, 91], "expectation_value": -1.037014456736207, "params": [0.9015000000000001, 0.004, 0.9009, 0.009600000000000001, 0.9042, 0.0012000000000000001, 0.9002, 0.0028, 0.8942, 0.0004, 0.4313, 0.009000000000000001, 0.9078, 0.0013000000000000002, 0.9014000000000001, 0.0094, 0.8967, 0.0025, 0.8921, 0.0019, 0.898... | 0.3333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.3333333333333333 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(7)) + 0.5 * (Z(6) ... | 6 | 8 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["01100101", "10100100", "00011010"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.499578776949945) q[0];
h q[1];
ry(-0.2072539573098555) q[1];
h q[2];
ry(-0.15914555276306835) q[2];
h q[3];
cx q[3], q[2];
ry(0.15914555276306835) q[2];
cx q[3], q[2];
ry(-1.0265903936394274) q[2];
ry(1.3481347958977403) q[3];
cx q[0], q[3];
ry(-0.186536281... | 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": []} | [
"IIIZIIIZ",
"ZIIZIIII",
"ZIIIIIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIIIIZZ",
"IIZIZIII",
"IZIIIIIZ",
"ZZIIIIII",
"IZZIIIII",
"IIIZIIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIZIII",
"IIIIIZII",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII"
] | [
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.4999999999999999,
0.3333333333333333,
0,
0,
0.16666666666666666,
0,
0.16666666666666663
] | 0.985788 | [
1.499578776949945,
-0.3182911055261367,
1.161598514009909,
-0.8626463224795381,
0.3730725637756626,
0.46584163496043485,
-0.9571964231228458,
0.7831327080743129,
-0.1312201876695805,
-0.35994392249057705,
-0.32788814231977875,
-0.3205750896119209,
0.514315108754014,
-0.414507914619711,
-... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 13 |
0243f685672d1a92e2c82fe9373ddffa | 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": [361, 357], "expectation_value": -94.74929226191885, "params": [[[0.6872, 0.0671], [0.11470000000000001, 0.0839], [0.7001000000000001, 0.10650000000000001], [0.25780000000000003, 0.1376], [0.38070000000000004, 0.1812], [0.5266000000000001, 0.16870000000000002], [0.38130000000000003, 0.17300000000000001], [0.... | 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(5) @ Z(2)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(10) @ Z(2)) + 7.0 * (Z(10) @ Z(3)) + 7.0 * (Z(10) @ Z(5)) + 7.0 * (Z(9) @ Z(10)) + 21.0 * Z(2) + -6.5 * Z(1) + 16.5 * Z(3) + 8.0 * Z(4)... | 15 | 11 | 4 | {"smallest_eigenvalues": [-122.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -116.5, "smallest_bitstrings": ["11010011010"], "largest_eigenvalue": 180.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.566616974252313) q[0];
ry(0.24501787858912802) q[1];
ry(0.9450850356126813) q[2];
ry(-0.1776396648289416) q[3];
ry(0.7977996110091159) q[4];
ry(0.8104729353054761) q[5];
ry(0.430370228477511) q[6];
ry(0.4009884684933497) q[7];
ry(0.9684269249346058) q[8];
ry(-0.15... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIZIIZII",
"IIIIIZIZIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIZZIIIIIII",
"ZIIIIIIIZII",
"ZIIIIIIZIII",
"ZIIIIZIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIIZIIIIII",
"IIZIIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
21,
-6.5,
16.5,
8,
22.5,
1.5,
0,
-3,
20.5,
-3.5,
-13.5
] | 0.974189 | [
0.566616974252313,
0.24501787858912802,
0.9450850356126813,
-0.1776396648289416,
0.7977996110091159,
0.8104729353054761,
0.430370228477511,
0.4009884684933497,
0.9684269249346058,
-0.15332036453828354,
0.5176392740652103,
0.03461949446245945,
-0.004713874872454907,
-0.03397621712350413,
... | {
"n_parameters": 88,
"n_qubits": 11,
"optimal_eigenvalue": -122.5,
"target_ratio": 0.97,
"target_value": -118.825
} | 85 |
ab38e7699e076f39debd51236acd2336 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [32, 31], "expectation_value": -4.713836350420004, "params": [[[-0.0114, 0.0405], [0.0024000000000000002, -0.0046], [0.1902, 0.0024000000000000002], [0.0011, -0.0022], [0.0172, 0.07730000000000001], [2.5058000000000002, -0.0086]], [[0.0417, 1.5978], [0.003, -0.037000000000000005], [-0.1928, -0.00170000000000... | -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) | 15 | 6 | 2 | {"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] 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",
"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 |
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": -0.4215799585592144, "params": [[[1.2935, 0.0078000000000000005], [1.491, 0.0098], [1.2930000000000001, 0.0046], [1.6963000000000001, 0.0012000000000000001], [1.6896, 0.0014], [1.6949, 0.005200000000000001]]], "bitstrings": ["101000", "111000"], "total_optimization_steps": 170, ... | 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 | 1 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | {"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 |
ab01514d72b7516b73973ff582495374 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 4, "target": 5}, {"source": ... | {"states": [255, 1023], "expectation_value": -12.875220124755945, "params": null, "bitstrings": ["1100000000", "0000000000"], "total_optimization_steps": 100, "probabilities": [0.10523622801364699, 0.347707167713074], "optimization_time": 251.37355089187622} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -2.5 * (Z(5) @ Z(6)) + -2.5 * (Z(8) @ Z(6)) + -1.5 * (Z(8) @ Z(5)) + -2.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(8)) + -2.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + 0.5... | 1 | 10 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.03019145075309322) q[0];
ry(-0.08031813924568279) q[1];
ry(-1.1170941789701017) q[2];
ry(-0.08287358687465089) q[3];
ry(-0.0035253341042190724) q[4];
ry(0.03284626998956997) q[5];
ry(-0.019361205293923146) q[6];
ry(-0.08287358687465089) q[7];
ry(3.150938813399765... | null | {"node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[9], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIZZIIIII",
"IZIZIIIIII",
"IZIIZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"IZZIIIIIII",
"ZIIZIIIIII",
"ZIIIZIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIZIIIIII"... | [
-1,
-1.5,
0.5,
-2,
-2.5,
-2.5,
-1.5,
-2.5,
0.5,
0.5,
-2.5,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.971325 | [
-0.03019145075309322,
-0.08031813924568279,
-1.1170941789701017,
-0.08287358687465089,
-0.0035253341042190724,
0.03284626998956997,
-0.019361205293923146,
3.150938813399765,
-0.03672236193285898,
-0.10279673714435467,
-0.025194517829770162,
0.3020305013578938,
2.9069534110229704,
0.0323827... | {
"n_parameters": 17,
"n_qubits": 10,
"optimal_eigenvalue": -18,
"target_ratio": 0.97,
"target_value": -17.46
} | 49 |
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": 22.76930546760559} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -1.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001011", "101001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3247553284692968) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.3247553284692968) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.3247553284692968) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.3247553284692968) q[3];
cx q[2], q[3];
h ... | 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 |
646c4ffdec7c3b688313fcfec6df6ea9 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [35, 14], "expectation_value": -0.09793468405432924, "params": [[0.0528, 0.07060000000000001], [-0.0363, -0.0529]], "bitstrings": ["011100", "110001"], "total_optimization_steps": 10, "probabilities": [0.01776125437494642, 0.017761254374946422], "optimization_time": 2.505481719970703} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(3)) + -0.25 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z... | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["001110", "110001", "010101", "101010", "011100", "100011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(1.9669260845713552) q[0];
ry(0.1024795632901214) q[0];
rz(-1.7618896224722536) q[0];
rz(1.3195676915300085) q[1];
ry(2.675781808525202) q[1];
rz(-2.101131985716676) q[1];
rz(0.659445598074063) q[2];
ry(2.9276292745841843) q[2];
rz(-2.5769113250260087) q[2];
rz(-1.592... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[2], ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZIIZI",
"ZIIZII",
"IZZIII",
"ZIZIII",
"ZZIIII",
"ZZZIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25
] | 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 |
93141c357d164fcf2a36ba666f8f01e3 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [47102, 47070], "expectation_value": -10.098819971084307, "params": [0.7928000000000001, 0.0378, 0.7268, 0.0073, 0.8048000000000001, 0.023700000000000002, 0.7984, 0.0037, 0.8021, 0.0334, 0.787, 0.0045000000000000005, 0.7952, 0.0932, 0.5872, 0.005, 0.8067000000000001, 0.020900000000000002, 0.8017000000000001,... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7)... | 6 | 16 | 1 | {"smallest_eigenvalues": [-18.499999999999897], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.49999999999988, "smallest_bitstrings": ["0100100000100001"], "largest_eigenvalue": 63.500000000000064} | 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] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 0}, {"id": 3}], "edges": [{"source": 2, "target": 1}, {"source": 2, "target": 0}, {"source": 2, "target": 3}, {"source": 1, "target": 3}, {"source": 0, "target": 3}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIIIIZ",
"IIIIIIIIIZZIIIII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIZIZIIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
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 |
8371d10567e2a79675b7c54d9bc2bc4c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}, {"source": ... | {"states": [0, 1011], "expectation_value": -6.505234138195185, "params": [0.315, -0.0324, -0.8367, 0.002, 0.6474000000000001, 0.0018000000000000002, -0.7338, 0.0012000000000000001, 0.8539, 1.7314, -0.042300000000000004, 0.002, -0.8979, 1.5622, 0.24700000000000003, 0.0026000000000000003, -0.9334, 1.2853, 0.5052, 0.0019,... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 1.0 * Z(7) + -1.0 * Z(6) + 0.5 * Z(9) + 0.5 * Z(8) + 0.5 * Z(2) | 6 | 10 | 1 | {"smallest_eigenvalues": [-11.5, -11.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.5, "smallest_bitstrings": ["0000000000", "0000001100"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.3517812042951984) q[0];
cx q[1], q[0];
rz(-0.3462869944370093) q[0];
rx(-0.8875049246396636) q[0];
rz(-0.3462869944370093) q[1];
rx(-0.8875049246396636) q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-1.144059905202581) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"ZIIIIIIZII",
"IZIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIIIIIZII"
] | [
-1,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5
] | 0.518688 | [
-1.3517812042951984,
-1.144059905202581,
-0.3462869944370094,
-0.6968876121860424,
-0.8875049246396635
] | {
"n_parameters": 5,
"n_qubits": 10,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 157 |
349470e51b3762ef23fcf6a851dc8e1d | 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": 3, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 6}, {"weight": 17, "source": 0, "target": 4}, {"weight": 14, "source": 1, "tar... | {"states": [246, 236], "expectation_value": -21.375243364828734, "params": [[0.0262, 0.0043], [-0.0687, -0.062]], "bitstrings": ["100001001", "100010011"], "total_optimization_steps": 10, "probabilities": [0.005526481458737849, 0.00649443364843982], "optimization_time": 4.02754282951355} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 178.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-1.187618942044145) q[0];
rz(-pi) q[0];
ry(-1.7599687068313097) q[1];
rz(-pi) q[1];
ry(-2.7040617186935703) q[2];
rz(-pi) q[2];
ry(-0.10990882509845053) q[3];
rz(-pi) q[3];
h q[4];
h q[5];
ry(-10.643298077408872) q[5];
cx q[5], q[2];
ry(3.008064639452315) q[2];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZIIIZI",
"IIIZZIIII",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"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,
4.5,
17.5,
6,
19,
16,
15,
3,
20.5,
4,
5.5
] | 0.970937 | [
-13.288635788926834,
16.707700645710162,
11.485587843730611,
-0.9038899663022613,
-10.643298077408872,
-6.01612927890463,
20.480329132293395,
27.318865921395695,
62.90566641834019,
13.936401089901285,
5.513059194653318,
-12.449127416427855,
36.78513038048737,
24.77404810964382,
0.0121719... | {
"n_parameters": 81,
"n_qubits": 9,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 100 |
40ce55bdea94a0eb027f16094e4d4ded | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "ta... | {"states": [0, 112], "expectation_value": -3.1002507221548252, "params": [0.0926, 0.2711, 0.7044, -0.0017000000000000001, 0.7017, 0.0019, 0.7081000000000001, -0.0194, 0.063, 0.3279, 0.1647, -0.046900000000000004, 0.6828000000000001, 0.004200000000000001, 0.6849000000000001, -0.0166, 0.10010000000000001, 0.2866, 0.7032,... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.5 * Z(4) + -1.5 * Z(6) + -0.5 * Z(1) + -1.0 * Z... | 4 | 8 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -3.5, "smallest_bitstrings": ["11000111", "01111010", "10101110", "10111100", "00111110", "11010011", "10001111", "01011011", "00011111", "10011101"], "largest_eigenvalue"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.1413753766024482) q[0];
rz(1.571278468745497) q[0];
rx(0.9550000482934523) q[1];
rz(1.625966914023973) q[1];
rx(1.404222575502273) q[2];
rz(1.6496577040516875) q[2];
rx(0.04804661226570707) q[3];
rz(1.0167139039976192) q[3];
rx(-0.009248247382184384) q[4];
rz(1.460... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZIIIZ",
"IZIIZIII",
"IZIIIIIZ",
"IZIZIIII",
"IIIZIIZI",
"IIZIZIII",
"IZZIIIII",
"IIZIIIZI",
"ZIIZIIII",
"ZIIIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIIZI",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
-0.5,
-1,
-0.5,
0
] | 0.97172 | [
0.1413753766024482,
0.00048214195060064524,
0.9550000482934523,
0.055170587229076015,
1.404222575502273,
0.07886137725679124,
0.04804661226570707,
-0.5540824227972779,
-0.009248247382184382,
-0.1105821389789803,
0.1765434050871793,
0.2353967003393309,
1.762489347234742,
0.3263637662153745,... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 26 |
d9691fcf746f1d3057f71d50dcf6c27b | 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": [680, 682], "expectation_value": -27.21865833766717, "params": [[[0.4032, 0.35660000000000003], [0.19460000000000002, 0.38770000000000004], [0.402, 0.3927], [-0.0013000000000000002, 0.368], [0.4053, 0.1839], [0.1386, 0.393], [0.40190000000000003, 0.3824], [0.14070000000000002, 0.3995], [0.4026, 0.39880000000... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(2) @ Z(0)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(9) @ Z(6)) + 7.0 * (Z(8) @ Z(1)) + 7.0 * (Z(8) @ Z(9)) + 8.5 * Z(0) + 5.0 * Z(1) + 7.0 * Z(2) + -4.0 * Z(3) + 7.0 * Z(4) + 15.0 * Z(6) + 3.5 * Z(5) + 4.5 * Z(9) + 10.0 * Z(8) + -1... | 15 | 10 | 4 | {"smallest_eigenvalues": [-84.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["0101010101"], "largest_eigenvalue": 130.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.9469742755339612) q[0];
ry(0.0006106313311459721) q[1];
ry(1.5306330772092884) q[2];
ry(0.03497149202918422) q[3];
ry(1.7260830430740042) q[4];
ry(-0.035155700427744546) q[5];
ry(0.9998597164989187) q[6];
ry(0.14039211854774442) q[7];
ry(1.7510080589554053) q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIZIZIIII",
"IIIIZZIIII",
"IIIZZIIIII",
"ZIIZIIIIII",
"IZIIIIIIZI",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIZIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIZIIIIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
8.5,
5,
7,
-4,
7,
15,
3.5,
4.5,
10,
-10.5
] | 0.976274 | [
0.9469742755339612,
0.0006106313311459721,
1.5306330772092884,
0.03497149202918422,
1.7260830430740042,
-0.035155700427744546,
0.9998597164989187,
0.14039211854774442,
1.7510080589554053,
1.5228532438005447,
0.08760710430636799,
0.07998827266429515,
0.36799181090428773,
0.3600442238745724,... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -84,
"target_ratio": 0.97,
"target_value": -81.48
} | 79 |
5a8eac0760a558d4174437be478ec0aa | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [4, 8], "expectation_value": -2.383913087124995, "params": null, "bitstrings": ["1011", "0111"], "total_optimization_steps": 8, "probabilities": [0.12800218251741974, 0.7559118157937839], "optimization_time": 2.385441541671753} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["1011", "0111"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.82536574049687) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.24273634073259914) q[1];
h q[2];
h q[3];
ry(-0.24273634073259914) q[3];
cx q[2], q[3];
ry(0.24273634073259914) q[3];
cx q[2], q[3];
ry(1.300380278656536) q[2];
ry(-0.845563361950822) q[3];
h q[4];
cx q[4], q[1];
ry... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IIZZ",
"IZIZ",
"ZIZI",
"IIIZ",
"IIZI",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1,
-1
] | 0.972605 | [
-1.0824548785035621,
-0.4854726814651983,
1.0253922282774464,
-0.6950111735231073,
0.549976100758179,
0.49856702161642463,
-0.5677464941140427,
-0.3011043768554298,
0.6740485844110712,
1.8584456786071313,
-0.3550392547384828,
-0.049666130392177224,
0.1283809090165161,
0.14940958954842865,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
1933e8b73d4f27169594b5a37f23f4e2 | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [112, 81], "expectation_value": -4.996464019451573, "params": null, "bitstrings": ["0001111", "0101110"], "total_optimization_steps": 27, "probabilities": [0.066348734655122, 0.930365857258937], "optimization_time": 27.47988772392273} | 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(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -1.5 * Z(5) + -1.5 * Z(1) + -1.0 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101110", "0001111", "1100011"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.8785617532809386) q[0];
rz(1.5021759791746723) q[0];
rx(0.18750221656773378) q[1];
rz(1.610386357447335) q[1];
rx(0.6526873554626819) q[2];
rz(1.5639732718255024) q[2];
rx(-0.012452119729280793) q[3];
rz(1.6670235805521898) q[3];
rx(0.18135410988127476) q[4];
rz(1.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) 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", ... | [
"IIIZIIZ",
"IIZIIIZ",
"IZIZIII",
"IZIIIIZ",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"ZIIZIII",
"ZIZIIII",
"ZIIIIZI",
"IZIIZII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1.5,
-1.5,
-1,
0
] | 0.98096 | [
0.8785617532809387,
-0.06862034762022431,
0.18750221656773375,
0.03959003065243816,
0.6526873554626819,
-0.006823054969394506,
-0.012452119729280793,
0.09622725375729248,
0.18135410988127476,
-0.46988664665471536,
-0.0942321217772507,
0.12610127432036736,
0.7918857798860538,
-0.11918754873... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 10 |
d4175c3ce7b82603ce58205ac044a840 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": ... | {"states": [0, 320], "expectation_value": -10.422852189048013, "params": [0.8731, 0.0015, 0.8049000000000001, 0.005200000000000001, 0.0026000000000000003, 1.6102, 0.0026000000000000003, 0.0085, 0.0024000000000000002, 1.6044, 0.0024000000000000002, 0.0071, -1.3115, -0.0021000000000000003, -0.0731, 0.0043, 0.0025, 1.5209... | -0.25 * (Z(0) @ Z(5)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(10) @ Z(0)) + -0.5 * (Z(10) @ Z(6)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(10)) + -0.75 * (Z(1) @ Z(7)) + -0.5 * (Z(2) @ Z(10)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(10)) + -0.25 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(2)) + -0.25 * (Z... | 6 | 12 | 1 | {"smallest_eigenvalues": [-11.0, -11.0, -11.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.0, "smallest_bitstrings": ["100000000000", "111000111111", "111010111111"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.06168957703368168) q[0];
rz(pi/2) q[0];
ry(0.10758376472103794) q[1];
ry(0.12974254324542597) q[2];
ry(-0.5305950565785704) q[3];
ry(-0.010504971432121597) q[4];
ry(-0.21712191112053497) q[5];
ry(-0.23191795714990737) q[6];
ry(-0.07280669111549543) q[7];
ry(-0.09... | 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",
"IIIIIZIIIIIZ",
"IZIIIIIIIIIZ",
"IZIIIZIIIIII",
"IIIIZZIIIIII",
"IZIIZIIIIIII",
"IIIIZIIIIIZI",
"IZIIIIIIIZII",
"IIIIIIIIIZZI",
"IIIIIIZZIIII",
"IZIIIIIZIIII",
"IIIZIZIIIIII",
"IIIZIIIIIZII",
"IIIZIIIZIIII",
"IIIIIIZIZIII",
"IIIIIIIIZIIZ",
"IIIIIIIZZIII",
"IIIZIIIIZ... | [
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.75,
-0.5,
-1,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
1.25,
-0.5,
-0.25,
-1,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
0.5,
-0.25,
-0.25,
0.75,
-0.5,
-0.5,
-0.5,
0.5,
-0.5,
0,
1.25,
-0.5
] | 0.975404 | [
-0.06168957703368168,
0.10758376472103794,
0.12974254324542597,
-0.5305950565785704,
-0.010504971432121597,
-0.21712191112053497,
-0.23191795714990737,
-0.07280669111549543,
-0.0996009790837984,
0.13739552147279763,
0.23307967914440478,
0.23233319183177809,
0.26815854368547154,
-0.68478418... | {
"n_parameters": 162,
"n_qubits": 12,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 29 |
1032127965810945069 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 3], [8, 5], [2, 3, 5, 7], [0, 5], [0, 1, 4, 6], [8, 1, 2], [0, 8, 6, 7], [8, 0, 1], [1, 5], [2, 3, 4], [1, 6, 7], [4, 7], [1, 2, 3, 7], [8, 1, 6], [0, 1, 3, 6], [8, 0, 4, 6]]} | {"states": [426, 419], "expectation_value": -4.2307976736394854, "params": null, "bitstrings": ["001010101", "001011100"], "total_optimization_steps": 53, "probabilities": [0.0752294013028334, 0.8389203042222645], "optimization_time": 132.00486302375793} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.49999999999999994 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.3333333333333333 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(7... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.583333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.166666666666666, "smallest_bitstrings": ["001011100"], "largest_eigenvalue": 14.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-3.053159397312989) q[0];
rz(-pi) q[0];
h q[1];
ry(1.5063324998220335) q[1];
h q[2];
ry(-0.5258827451918332) q[2];
h q[3];
ry(1.0912901938114434) q[3];
cx q[3], q[2];
ry(0.5258827451918332) q[2];
cx q[3], q[2];
ry(0.14829313745864708) q[3];
ry(-0.16084180055826164) q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.569) 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] = me... | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"ZIIIIIZII",
"ZIIIIIIIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZIZIII",
"ZIIZIIIII",
"IZIIIIZII",
"IZIIIIIIZ",
"IZIIIZIII",
"ZZIIIIIII",
"IZIZIIIII",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIZI",
"ZIIIIIIZI",
"IIIZIIIZI",
"IZIIIIIZI",
"IIIIZIZII",
"... | [
0.16666666666666666,
0.49999999999999994,
0.25,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.5,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.25,
0.3333333333333333,
0.1666666666... | 0.970487 | [
1.5063324998220335,
1.0912901938114434,
-0.8007828084034759,
1.480124814614586,
-0.636693695839096,
1.3571704326116736,
-1.449111882260349,
1.0592371656473947,
-1.647395524776862,
0.39757529885842624,
-1.0517654903836664,
0.1327789064275433,
0.2503852758128374,
0.10798572557502867,
-0.18... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -4.583333333333334,
"target_ratio": 0.97,
"target_value": -4.445833333333334
} | 10 |
6677523700018337187 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 5], [0, 3, 4], [1, 4, 7], [5, 7], [0, 2, 5], [2, 4], [6, 7], [0, 6], [3, 4, 5], [1, 2], [3, 7], [4, 6]]} | {"states": [54, 201], "expectation_value": -0.07141525027202257, "params": [[-0.054900000000000004], [0.060700000000000004]], "bitstrings": ["11001001", "00110110"], "total_optimization_steps": 10, "probabilities": [0.004313600008181048, 0.004350898146457728], "optimization_time": 2.4705145359039307} | 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.166666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.666666666666666, "smallest_bitstrings": ["00110110"], "largest_eigenvalue": 7.999999999999999} | 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];
cx q[5], q[1];
rz(-0.678926094380287) q[1];
cx q[5], q[1];
cx q[5], q[0];
rz(0.09163700568221096) q[0];
cx q[5], q[0];
cx q[5], q[3];
rz(0.09163700568221096) q[3];
cx q[5], q[3];
cx q[0], q[3];
rz(0.09163700568221096) q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[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[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[5], q[0];
rz(x1) q[0];
cx q[5], q[0];
cx q[5], q... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZI",
"IIZIIIIZ",
"IIZIZIII",
"IIIIZIIZ",
"IIZZIIII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZZIII",
"ZIZIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"IIZIIZII",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIZII",
"IZIIIIIZ",
"IZIZIIII",
"ZZIIIIII",
"IIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZII... | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.333333... | 0.470819 | [
-0.678926094380287,
0.09163700568221096,
-0.5175299126076072,
0.42938884389755977,
0.8440022674698512
] | {
"n_parameters": 5,
"n_qubits": 8,
"optimal_eigenvalue": -4.333333333333334,
"target_ratio": 0.97,
"target_value": -4.203333333333334
} | 137 |
4be66989cdca0046acb3f5397a7bad21 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"sour... | {"states": [348, 92], "expectation_value": -3.639466149148832, "params": [1.5434, 0.008, -0.0022, 0.008700000000000001, 1.7125000000000001, 0.0001, 1.4727000000000001, 0.0092, 1.7021000000000002, 0.0004, 1.6557000000000002, 0.0043, 1.606, 0.0047, 0.048400000000000006, 0.0054, 0.0434, 0.0067, 0.005200000000000001, 0.000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + -2.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(6) + -1.0 * Z(2) + ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.5, "smallest_bitstrings": ["111100010", "011100110", "010001111", "010100111", "110001011", "110100011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.33077347030723775) q[0];
rz(-0.070667438831802) q[0];
ry(0.3585892411625482) q[1];
ry(0.9109736907480216) q[2];
ry(-0.31937914509794596) q[3];
ry(0.8715301617642819) q[4];
ry(0.573627199269098) q[5];
ry(0.2983414504123037) q[6];
ry(-0.11102707700919374) q[7];
ry(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIZIIIZI",
"IIIZIZIII",
"IZIIIIZII",
"ZIIIIIZII",
"ZIIIIZIII",
"ZZIIIIIII",
"IZIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"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,
-2,
-0.5,
-0.5,
-1,
-1,
-0.5,
-1,
-1,
0
] | 0.981836 | [
0.33077347030723775,
0.3585892411625482,
0.9109736907480216,
-0.31937914509794596,
0.8715301617642819,
0.573627199269098,
0.2983414504123037,
-0.11102707700919374,
0.1093997939152751,
-0.141334877663604,
-0.5272662144171042,
-0.11167870679474903,
0.02752581495500204,
0.12405373767794498,
... | {
"n_parameters": 71,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 22 |
eb37df157f972d0ca6ce6f2978928048 | 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": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [1, 5], "expectation_value": -2.621051070300542, "params": [[[0.0039000000000000003, 0.3534], [0.0, 0.11510000000000001], [-0.0037, -0.08700000000000001], [0.5964, -0.0031000000000000003], [0.0027, 0.4], [0.6054, 0.004200000000000001]], [[0.0025, 0.3699], [0.0033, 0.24500000000000002], [0.0059, 0.3441], [0.5... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(4) + -0.75 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["111010"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.34781260363078503) q[0];
ry(-0.0790730710407612) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.07098067974575972) q[2];
h q[3];
ry(1.191000615298271) q[3];
ry(-0.0919506591296967) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.34781260363078503) q[0];
cx q[5], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IZIIIZ",
"IIIZZI",
"IIZZII",
"ZIIIIZ",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-0.25,
-0.5,
-0.5,
-0.25,
1,
-0.25,
-0.25,
0.25,
-0.25,
-0.25,
-0.75,
0.5,
0.5
] | 0.971308 | [
-1.6195195910882816,
-0.6956252072615701,
1.163192809081668,
-0.6409245945835431,
-1.4157079854028858,
-1.4464175889434372,
1.191000615298271,
0.4437522521707178,
-0.5414288192221872,
0.3199884413474384,
-0.09061133362139674,
-0.12627536452462831,
-0.04451483090474981,
-0.07956465144531773... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 6 |
34fec832591d56601cbd146a15fec9ed | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 18, "source": 1, "target": 3}, {"weight": 16, "source": 1, "target": 4}, {... | {"states": [124, 122], "expectation_value": -9.089839128541888, "params": [[0.049600000000000005], [-0.0728]], "bitstrings": ["10000011", "10000101"], "total_optimization_steps": 10, "probabilities": [0.00765499291615581, 0.008437675121186795], "optimization_time": 1.847933053970337} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 13.5 * Z(1) + 10.0 * Z(0) + 17.0 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 142.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.08399526504899095) q[0];
rz(0.2825788937886795) q[0];
rx(0.7951459296419685) q[1];
rz(0.2003437432581271) q[1];
rx(1.0221893354097433) q[2];
rz(-0.3092263127594003) q[2];
rx(1.0231214214866293) q[3];
rz(0.10389188217607151) q[3];
rx(0.970134509765303) q[4];
rz(0.1... | 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;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1],... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIZII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
10,
17,
20,
13.5,
5,
5,
6
] | 0.974076 | [
-0.08399526504899095,
0.11179873042160347,
0.7951459296419685,
0.2003437432581271,
1.0221893354097433,
-0.3092263127594003,
1.0231214214866293,
0.10389188217607151,
0.970134509765303,
0.1704895690175754,
0.36114319075678797,
0.4543183591063792,
0.6989834795043587,
-0.038232563756867066,
... | {
"n_parameters": 93,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 9 |
fa0deee6a3a631ec5ee1ea77e937f05a | 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": [207, 199], "expectation_value": -74.42595326533348, "params": [-0.0064, -0.4178, 0.3516, 0.4428, 1.0703, 0.0051, 1.0679, 0.13340000000000002, 0.0015, 0.6584, 0.0025, 0.5704, 0.4496, 0.33940000000000003, 1.0642, 0.0049, 1.0662, 0.027200000000000002, 1.0689, -0.0565, 0.0057, -0.37070000000000003, 0.3503, 0.40... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(2)) + 6.0 * (Z(6) @ Z(3)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(0) @ Z(7)) + 6.0 * (Z(8) @ Z(1)) + 6.0 * (Z(8) @ Z(6)) + 6.0 * (Z(8) @ Z(7)) + 6.0 * (Z(9) @ Z(1)) + 6.0 * (Z(9) @ Z(8)) + 6.5 * Z(2) + 9.5 * Z(1) + -3.5 * Z(4) + 7.0 * Z(3) + -1.0 * Z(5) + 11.0 * Z(6)... | 18 | 10 | 3 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.0, "smallest_bitstrings": ["1100111000"], "largest_eigenvalue": 134.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.13923303546571958) q[0];
rz(-0.3621044904646755) q[0];
rx(-0.04892721054624319) q[1];
rz(0.45739053814928743) q[1];
rx(1.1477927428580281) q[2];
rz(-0.05591346255448383) q[2];
rx(0.9908911317248441) q[3];
rz(-0.03142972539993672) q[3];
rx(-0.09745366587194197) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIZZIII",
"IIIIZIIZII",
"IIIZIIZIII",
"IIZZIIIIII",
"IIZIIIIIIZ",
"IZIIIIIIZI",
"IZIZIIIIII",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IIIIIIIIIZ",
"IZIIIIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6.5,
9.5,
-3.5,
7,
-1,
11,
13,
-2.5,
21,
7
] | 0.975584 | [
0.1392330354657196,
-0.3344252775968877,
-0.04892721054624319,
0.45739053814928743,
1.1477927428580281,
-0.05591346255448383,
0.9908911317248441,
-0.03142972539993672,
-0.09745366587194197,
0.44857761963503284,
-0.13107854334972385,
0.5672775095671841,
0.22360736845993448,
0.42691410196278... | {
"n_parameters": 84,
"n_qubits": 10,
"optimal_eigenvalue": -83,
"target_ratio": 0.97,
"target_value": -80.50999999999999
} | 9 |
38980211450f7282c15e0ab435ff2cd6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [62, 1], "expectation_value": -0.20233842224792914, "params": [[0.0026000000000000003, -0.0329, -0.0443, -0.008], [-0.0528, 0.0154, 0.0427, 0.0178]], "bitstrings": ["000001", "111110"], "total_optimization_steps": 10, "probabilities": [0.017947214404954937, 0.01938380373834022], "optimization_time": 4.939322... | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(3) + 1.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.18057532849171046) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.18057532849171046) q[3];
cx q[2], q[3];
h q[4];
cx q[0], q[4];
rz(0.15240128173497133) q[4];
cx q[0], q[4];
cx q[4], q[1];
rz(0.4649246212783777) q[1];
cx q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IZIIIZ",
"IZIIZI",
"IIZZII",
"IZZIII",
"IIZIZI",
"ZIIZII",
"ZIIIIZ",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIZIII",
"ZIIIII"
] | [
-0.75,
-0.25,
-0.5,
-0.75,
-0.25,
-1,
-0.25,
1.25,
0.25,
-0.25,
0,
-0.5,
-0.5,
1
] | 0.970699 | [
0.18057532849171046,
0.15240128173497133,
0.4649246212783777,
-0.16816126659960623,
-0.38958804491802196,
0.6933538979276795,
0.5762777327646811,
-0.6736008592295458,
1.3898734088318323,
0.35834720452177266,
0.2611471404449328,
0.6354636015951395,
-0.12256652965784247,
-0.6716227081292513,... | {
"n_parameters": 25,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 144 |
2bc80a38fd9177dfb96513e589a7a954 | 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": [107, 618], "expectation_value": -55.269116202289304, "params": [[[1.5713000000000001, 0.1917], [-0.0023, 0.1879], [-1.3796000000000002, 1.1456], [0.2691, 1.9903000000000002], [0.4681, -0.4474], [1.9975, 1.147], [1.3954, 1.4902], [1.5696, 1.5663], [1.5664, -0.0876], [1.572, 0.21280000000000002]]], "bitstring... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(4)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(6) @ Z(1)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(8) @ Z(3)) + 7.0 * (Z(9) @ Z(8)) + 1.5 * Z(1) + -1.0 * Z(0) + 13.5 * Z(4) + -5.5 * Z(2) + 16.0 * Z(3) + 4.0 * Z(5) + 6.5 * Z(6) + -3.0 * Z(7) + 8.5 * Z(8) + ... | 15 | 10 | 1 | {"smallest_eigenvalues": [-83.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.5, "smallest_bitstrings": ["0110010101"], "largest_eigenvalue": 101.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.5707964746290313) q[0];
ry(5.5812202092146824e-08) q[1];
ry(1.2880466847507355e-07) q[2];
ry(0.11649125712170734) q[3];
ry(1.5707938353009716) q[4];
ry(1.570796365954741) q[5];
ry(1.5707963136948735) q[6];
ry(1.5707963394678062) q[7];
ry(1.5707963529613664) q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIIZIIIIZI",
"IIZZIIIIII",
"IZIIIIZIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
1.5,
-1,
13.5,
-5.5,
16,
4,
6.5,
-3,
8.5,
-2
] | 0.820359 | [
1.5707964746290313,
5.5812202092146824e-8,
1.2880466847507355e-7,
0.11649125712170734,
1.5707938353009716,
1.570796365954741,
1.5707963136948735,
1.5707963394678062,
1.5707963529613664,
1.5707961930274312,
-0.10337747962665803,
-0.10337735546959005,
-1.1155181086580046e-7,
3.02510138007325... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -83.5,
"target_ratio": 0.97,
"target_value": -80.995
} | 500 |
7448270381232264673 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 4, 5], [2, 3, 5, 7], [3, 5, 6], [0, 2, 3, 4, 7], [0, 1, 2, 3], [1, 3, 4, 5], [1, 2, 5, 7], [0, 1, 5], [0, 1, 6, 7]]} | {"states": [174, 175], "expectation_value": -2.0882526749607013, "params": [2.7358000000000002, 0.2919, 0.403, 0.008700000000000001, 0.6029, 1.1363, 0.33290000000000003, 0.004, 2.5985, 0.36060000000000003, 0.5419, 0.0, 0.32180000000000003, 1.7735, 0.3104, 0.009300000000000001, 2.5973, 0.303, 0.5437000000000001, 0.0016,... | 0.21666666666666667 * (Z(0) @ Z(3)) + 0.21666666666666667 * (Z(4) @ Z(3)) + 0.13333333333333333 * (Z(4) @ Z(0)) + 0.41666666666666663 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.21666666666666667 * (Z(2) @ Z(3)) + 0.13333333333333333 * (Z(2) @ Z(0)) + 0.05 * (Z(2) @ Z(4)) + 0.166666... | 5 | 8 | 1 | {"smallest_eigenvalues": [-2.1999999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0333333333333337, "smallest_bitstrings": ["01010000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.004600844878858208) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.004600844878858208) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.008754334165667663) q[4];
cx q[0], q[4];
h q[5];
cx q[3], q[5];
rz(-0.405233954614816) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IIZIZIII",
"IIZIIIIZ",
"IIZZIIII",
"IIIIZZII",
"IIIIIZIZ",
"IIIZIZII",
"IIZIIZII",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIIZIIII",
"ZIZIIIII",
"ZIIIIZII",
"IZIIZIII",
"IZIIIIIZ",
"IZZIIIII",
"ZZIIIIII",
"IIIIZIZI",
"IIIIIIZZ",
"IIIZIIZI",
"IIZIIIZ... | [
0.21666666666666667,
0.21666666666666667,
0.13333333333333333,
0.41666666666666663,
0.25,
0.16666666666666666,
0.21666666666666667,
0.13333333333333333,
0.05,
0.16666666666666666,
0.13333333333333333,
0.13333333333333333,
0.05,
0.16666666666666666,
0.21666666666666667,
0.16666666666666... | 0.975995 | [
0.004600844878858208,
-0.008754334165667663,
-0.405233954614816,
-0.04367818233733601,
-0.020123188302794238,
0.019140432417582356,
0.021605017859005263,
0.0349153742129555,
1.5377053859907672,
-1.5071937741487618,
-1.6290063908480008,
-1.395384071448864,
-1.3316787812102202,
-1.7082968958... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -2.1999999999999997,
"target_ratio": 0.97,
"target_value": -2.134
} | 114 |
5d474162f07dfb1b3248afb7c4b90a85 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, ... | {"states": [1, 3], "expectation_value": -25.311910173648887, "params": [[[0.0108, -0.28150000000000003], [0.11750000000000001, -0.25570000000000004], [0.14730000000000001, 0.24000000000000002], [0.13040000000000002, 0.25], [0.0567, 0.273], [0.5974, -0.00030000000000000003], [0.6011000000000001, 0.0001]], [[0.0064, -0.2... | 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)) + 2.75 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 2... | 1 | 7 | 3 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.75, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.33842977011630987) q[0];
rz(-0.1108368416663894) q[0];
rx(0.3147269537321503) q[1];
rz(0.4403416265327494) q[1];
rx(-0.051370858575326604) q[2];
rz(-0.22672638531976275) q[2];
rx(0.03931970306589702) q[3];
rz(0.9073276713830547) q[3];
rx(0.0661833452113321) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 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,
2.75,
3,
3,
2.75,
3,
2.75,
3,
3,
3,
3,
-10,
-10.5,
-10,
-10,
-10.25,
-9.5,
-9.25
] | 0.976782 | [
-0.33842977011630987,
-0.1108368416663894,
0.3147269537321503,
0.4403416265327494,
-0.051370858575326604,
-0.22672638531976275,
0.03931970306589702,
0.9073276713830547,
0.0661833452113321,
-0.5231724704730886,
2.88377300871935,
-1.119200286847717,
2.8464014046151784,
-0.7664925011163902
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -30.75,
"target_ratio": 0.97,
"target_value": -29.8275
} | 16 |
a7f4483aef8d784b8eb74cfa73b44512 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [31, 30], "expectation_value": -3.2429785472750505, "params": [0.0454, -0.0379, 0.1411, -0.0236, 0.22760000000000002, 0.0971, 0.15960000000000002, 0.10020000000000001, 0.2912, -0.0057, 0.2912, -0.0083, 0.29810000000000003, -0.0001, 0.30160000000000003, -0.0064, 0.30660000000000004, -0.0008, 0.3012, -0.0076, ... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + -1.0 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + 0.0 * Z(5) + -0.5 * Z(7) + -0.5 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4) | 6 | 8 | 3 | {"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": ["11101000", "10100011", "11010001", "10101010", "11100001", "11011000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(3.0917939187026944) q[0];
rz(0.2904185815313262) q[0];
rx(2.785202396948293) q[1];
rz(0.46613496486166967) q[1];
rx(0.10576316076455992) q[2];
rz(0.5240138534555867) q[2];
rx(2.980980972973647) q[3];
rz(-0.9739905904108447) q[3];
rx(2.913789240005765) q[4];
rz(-0.344... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IIZIIIIZ",
"ZIIIIIIZ",
"IIIIIZZI",
"IZIIIIZI",
"ZIIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IZIIIIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-0.5,
0,
-0.5,
-0.5,
0,
0
] | 0.985164 | [
3.0917939187026944,
0.2904185815313262,
2.785202396948293,
0.46613496486166967,
0.10576316076455992,
0.5240138534555867,
2.980980972973647,
-0.9739905904108447,
2.913789240005765,
-0.3444858949552634,
-0.03571019147062529,
0.6167451590987563,
-0.08110847048626792,
-0.007573432631595545,
... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -4.875,
"target_ratio": 0.97,
"target_value": -4.72875
} | 15 |
91b3425767d7686611171398f417493f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 4, "source": 1, "target": 7}, {"capac... | {"states": [512, 511], "expectation_value": -0.9779254182177244, "params": [[-0.0847], [0.0785]], "bitstrings": ["0111111111", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0019081957589870014, 0.001944095360420023], "optimization_time": 3.2748172283172607} | -0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -1.25 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(7) @ Z(1)) + -1.25 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @ Z(7)) + -0.25 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(1)) + -0.25 * (Z(9) @ Z(8)) + -1.0 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(9)) + -1.25 * (Z(3) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.7591114759418567) q[0];
h q[1];
ry(0.5443345677520414) q[1];
h q[2];
ry(0.5443345677520414) q[2];
h q[3];
cx q[3], q[2];
ry(-0.5443345677520414) q[2];
cx q[3], q[2];
ry(-0.023733419325442658) q[3];
ry(-0.018613172468237314) q[2];
h q[4];
ry(-0.04182404979... | 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[10] c;
qubit[10] q;
h q[0];
h q[1];
... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIZ",
"IIIIZIIIZI",
"IIIZZIIIII",
"IIIZIIIIZI",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IZZIIIIIII",
"ZIIIZIIIII",
"ZIIIIIIIIZ",
"ZIIIIIIIZI",
"ZZIIIIIIII",
"IIIZIIIZII",
"ZIIIIIIZII",
"IIIIZIZIII",
"IIIIIIZIZI",
"IZIIIIZIII",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIZIZIIII",
"IZIIIZIIII"... | [
-0.25,
-0.5,
-1.25,
-1,
-1,
-1.25,
-0.5,
-0.25,
0.5,
-0.25,
-0.25,
-1,
-0.25,
-1.25,
-0.75,
-0.5,
-2,
-1.25,
-1.25,
-0.25,
-0.75,
-0.25,
-0.25,
0.25,
0,
-1,
0.25,
-0.5,
1.25,
-0.75,
1
] | 0.947311 | [
1.0886691355040827,
-0.08364809959726165,
1.5553032145041832,
-0.047466838650885315,
-0.03722634493647463,
-0.1331412565036091,
-0.0318123448968556,
0.08863853611797129,
1.026667953731497,
0.5649304653940624,
1.576743362053867,
-1.5182229518837134,
0.6448818573851265,
-0.040195356336282476... | {
"n_parameters": 62,
"n_qubits": 10,
"optimal_eigenvalue": -16.25,
"target_ratio": 0.97,
"target_value": -15.7625
} | 500 |
3fb3735639c46bff7d77a855f00e5a0c | 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": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 1... | {"states": [68, 5], "expectation_value": -7.659911186378091, "params": null, "bitstrings": ["0111011", "1111010"], "total_optimization_steps": 26, "probabilities": [0.14623545328473836, 0.8524775409824853], "optimization_time": 26.775187969207764} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(6) @ Z(2)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.15656815186826128) q[0];
rz(0.15627741730544642) q[0];
rx(0.07155707979271855) q[1];
rz(0.41889354116436905) q[1];
rx(-0.036854522120223276) q[2];
rz(0.3006228164158884) q[2];
rx(-0.08168454662241761) q[3];
rz(1.026473851281004) q[3];
rx(0.8163706473005876) q[4];
r... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5706) q[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",
"IIIIZZI",
"IZIIIZI",
"IIIZZII",
"IZIZIII",
"IIIZIZI",
"IIZIZII",
"IIZZIII",
"ZIIIZII",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"ZIIIIII"
] | [
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.25,
1.25,
-0.5,
0.5,
-0.25,
-1.25,
-0.5,
0,
1,
0.5
] | 0.973909 | [
0.15656815186826128,
0.5442420018401137,
0.07155707979271855,
0.902550613450768,
-0.036854522120223276,
0.7986190445176811,
-0.08168454662241761,
0.9231305560999041,
0.8163706473005876,
0.16616318461372137,
0.13465721119367224,
0.8447385901987526,
1.1276480729653369,
-0.17486223285907548,
... | {
"n_parameters": 56,
"n_qubits": 7,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 4 |
3d599008e6d247101eb02503201a8a05 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [439, 1015], "expectation_value": -8.626190094756781, "params": null, "bitstrings": ["111001001000", "110000001000"], "total_optimization_steps": 100, "probabilities": [0.10145933749532667, 0.4400528382935296], "optimization_time": 391.9347755908966} | 0.5 * (Z(5) @ Z(9)) + 2.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(5)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(10)) + -0.5 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(10)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -2.0 * (Z(3) @ Z(10)) + -0.5 * (Z(3) @ Z(6)) +... | 1 | 12 | 2 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 37, "first_excited_energy": -8.5, "sm... | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08055982018340721) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.08055982018340721) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(0.5225355503098899) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0805598201834072... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5709) q[10];\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];... | [
"IIZIIIZIIIII",
"IZZIIIIIIIII",
"IZIIIIZIIIII",
"IIZIIZIIIIII",
"IIIIIZZIIIII",
"IZIIIZIIIIII",
"IIZIIIIIIZII",
"IIIIIIZIIZII",
"IZIIIIIIIZII",
"IIIIIZIIIZII",
"IIZIIIIIZIII",
"IIIIIIZIZIII",
"IZIIIIIIZIII",
"IIIIIZIIZIII",
"IIIIIIIIZZII",
"IIZIIIIZIIII",
"IIIIIIZZIIII",
"IZIIIIIZI... | [
0.5,
2,
1,
0.5,
1,
1,
-0.5,
-1,
-1,
-1,
-1,
-0.5,
-2,
-0.5,
0.5,
-1,
-0.5,
-2,
-0.5,
0.5,
1,
-0.5,
-0.5,
0.5,
-0.5,
0.5,
-1,
0.5,
-0.5,
0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
1,
-0.5,
-0.5,
-0.5,
1.5,
2,
3,
2,
-2,
... | 0.869132 | [
0.08055982018340721,
-0.35470681563137524,
0.5225355503098899,
1.1234973761473965,
1.3097500534732263,
0.06301837355841679,
0.0172289539833638,
1.175101985651543,
-0.050600734974519,
-0.913335335482333,
1.0536620339595795,
1.7102271339985182,
2.127471121365935,
-0.06929635052414747,
1.03... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 500 |
c11cd43c1b3d47ef5d545f6dc676afc9 | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [148, 156], "expectation_value": -5.592243747064095, "params": [[[0.7846000000000001, 0.0038, 0.006900000000000001, 0.001], [-0.011300000000000001, 0.5465, -0.0005, 0.0039000000000000003], [0.0064, 0.0349, 0.0097, 0.0385], [0.5665, 0.0008, 0.5613, 0.006900000000000001], [-0.19640000000000002, -0.0106, 0.0092... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -2.0 * Z(1) + 0.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(4) + -... | 12 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["01100011", "01110100", "01100110"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.4463355484458688) q[0];
rz(-0.021675068088018) q[0];
rx(-0.08680044423049244) q[1];
rz(-0.1377473521070984) q[1];
cx q[1], q[0];
rz(0.03013545882473454) q[0];
cx q[1], q[0];
rz(1.714388681745449) q[0];
ry(1.307552605370475) q[0];
rz(-1.3688977646753206) q[0];
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": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIZIIZI",
"IIZIIIZI",
"ZIIIIIZI",
"ZIZIIIII",
"IIIIZZII",
"IIIZIZII",
"ZIIIIZII",
"IZIIZIII",
"IZZIIIII",
"IZIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-1,
-0.5,
-1,
-1,
-1.5,
-1
] | 0.97239 | [
0.4463355484458688,
0.008460390736716616,
-0.08680044423049244,
-0.1377473521070984,
0.006149762995697236,
-0.13014177506658756,
0.5331080088989905,
0.16249573646620832,
0.5379037099192682,
0.20791866529853995,
0.029592935697558276,
0.00012620466707524702,
0.11784568029912942,
0.1742936516... | {
"n_parameters": 111,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 9 |
5554174506106622924 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 3, 5], [1, 4, 7], [0, 1, 3, 6], [8, 3, 5, 6], [8, 0], [8, 4, 6], [4, 5, 6], [8, 2]]} | {"states": [311, 374], "expectation_value": -2.572572634637041, "params": null, "bitstrings": ["011001000", "010001001"], "total_optimization_steps": 53, "probabilities": [0.05444937029312734, 0.9053798177617359], "optimization_time": 84.43757796287537} | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(3)) + 0.16666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.666666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.583333333333334, "smallest_bitstrings": ["010001001"], "largest_eigenvalue": 6.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(1.2477393751910257) q[0];
h q[1];
ry(-0.3755940814012787) q[1];
h q[2];
h q[3];
ry(-3.026854056008151) q[4];
rz(-pi) q[4];
h q[5];
ry(-0.25679270498063944) q[5];
cx q[3], q[5];
ry(0.25679270498063944) q[5];
cx q[3], q[5];
ry(-0.27869366179343025) q[5];
ry(0.7... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4977) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIZZIIII",
"IIIIZIIZI",
"IZIIIIIZI",
"IZIIZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IIZZIIIII",
"IIZIIIIZI",
"IIZIZIIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZIIZIIIII",
"... | [
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.166666666666666... | 0.971942 | [
1.6019270384518975,
-0.6277839179364406,
1.2477393751910257,
0.7250940402382224,
-0.9371286263378734,
0.5773212825980527,
1.2271984265217424,
-0.30599180829318745,
0.31166430947158325,
-0.5135854099612789,
0.45771860538302495,
-0.7511881628025574,
0.555116639506452,
-0.5573873235868605,
... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -2.666666666666666,
"target_ratio": 0.97,
"target_value": -2.586666666666666
} | 7 |
bf3ec5b79f8955f472cb6ac1b88c1910 | 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": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3... | {"states": [64, 63], "expectation_value": -0.7828530281549609, "params": [[-0.056, -0.0505, -0.052000000000000005, -0.0199], [0.0737, 0.0625, 0.06470000000000001, 0.0539]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.01693501463066831, 0.01900468714472657], "optimization_ti... | -0.25 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * Z(4) + -0.25 * Z(0) + -0.25 * Z(6) + 0.5 * Z(1) + -0.25 ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.030506047325823155) q[0];
h q[1];
ry(0.9626531012769405) q[1];
h q[2];
ry(0.7812508056207816) q[2];
h q[3];
ry(0.7812508056207816) q[3];
h q[4];
cx q[4], q[3];
ry(-0.7812508056207816) q[3];
cx q[4], q[3];
cx q[3], q[1];
ry(-0.9626531012769405) q[1];
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": 6} | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"IIZIIZI",
"IIZIZII",
"IIIIZZI",
"IIZZIII",
"IIIZIZI",
"IIIZZII",
"IZZIIII",
"ZZIIIII",
"IIZIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IZIIIII"
] | [
-0.25,
-0.25,
0.5,
-0.75,
-0.5,
-0.25,
-1,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
0.5,
-0.25,
0.5,
0.25
] | 0.951722 | [
1.5625016112415633,
1.925306202553881,
1.2541936550988508,
1.4110912127349848,
-0.06101209465164631,
-1.7685038255782743,
-1.804348101458756,
1.9589904075550268,
-1.8509833662241,
0.03816537342584572,
-1.3333242559645757,
0.9913171017473899,
-0.01566841648661444,
0.1802021332140572,
2.98... | {
"n_parameters": 40,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 500 |
3c6a0f75571e718d8fbaf4d718e39505 | 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": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [49, 71], "expectation_value": -0.34116786564909296, "params": [[0.028900000000000002, -0.0357, -0.0594], [-0.0582, -0.0126, 0.0584]], "bitstrings": ["1001110", "0111000"], "total_optimization_steps": 10, "probabilities": [0.009339372329627796, 0.009516507690770256], "optimization_time": 4.785599231719971} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(2) + -2.0 * Z(3) + -1.0 * Z(4) + -1.0 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.024969263718757094) q[0];
rz(0.838466479483619) q[0];
ry(0.4543828048928915) q[1];
rz(0.9774482153118855) q[1];
cx q[1], q[0];
ry(-0.14349311077027735) q[1];
rz(0.14845698270035257) q[1];
ry(1.6406173499573802) q[2];
rz(-0.056617967186184705) q[2];
ry(1.6086760675... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIZI",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIZII",
"IZIZIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-2,
-1,
-1,
0
] | 0.973 | [
0.024969263718757094,
0.838466479483619,
0.4543828048928915,
0.9774482153118855,
1.6406173499573802,
-0.056617967186184705,
1.6086760675696128,
0.1312333854197392,
1.6971655849709717,
0.039777741379520844,
-0.01686345976190709,
0.22016387161090592,
1.5972859335962972,
-0.10288603590630956,... | {
"n_parameters": 38,
"n_qubits": 11,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 19 |
-4186604412911688631 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 5], [4, 5, 7], [0, 3, 5, 6], [1, 4, 6], [6, 7], [0, 1, 6], [0, 1, 4], [3, 4], [3, 7], [0, 1, 5], [1, 3], [0, 2, 4]]} | {"states": [158, 205], "expectation_value": -3.1109570952677896, "params": null, "bitstrings": ["01100001", "00110010"], "total_optimization_steps": 54, "probabilities": [0.07966370033110168, 0.7722439841616359], "optimization_time": 95.31286287307739} | 0.25 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.166666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.2500000000000018, "smallest_bitstrings": ["00110010"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(1.2834179347843733) q[0];
rz(pi/2) q[0];
ry(1.4297060317003083) q[1];
ry(-0.21917564174472814) q[2];
ry(0.33254387014292885) q[3];
ry(1.6573120660607772) q[4];
ry(1.1393635404852962) q[5];
ry(2.104048474206002) q[6];
ry(1.5180934712277805) q[7];
cx q[7], q[0];
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];\nry(1.5651) 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[... | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IIZIIZII",
"IIZIIIIZ",
"IIZIZIII",
"IIIZIZII",
"IIIZIIIZ",
"IIIZZIII",
"IIZZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZIIZIIII",
"IZIIIIIZ",
"IZIIZIII",
"IZZIIIII",
"IZIZIIII",
"ZZIIIIII",
"IIIIIIZZ",
"IIIIZIZI",
"IIZIIIZI",
"IIIZIIZI",
"IZIIIIZ... | [
0.25,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.25,
0.08333333333333333,
0.08333333333333333,
0.1666666666... | 0.971505 | [
1.2834179347843733,
1.4297060317003083,
-0.21917564174472814,
0.33254387014292885,
1.6573120660607772,
1.1393635404852962,
2.104048474206002,
1.5180934712277805,
0.39363146751101147,
-0.2645195217942735,
1.0078509596650946,
0.22104447253515444,
0.3125644238067289,
0.13162390481359681,
-0... | {
"n_parameters": 32,
"n_qubits": 8,
"optimal_eigenvalue": -3.333333333333335,
"target_ratio": 0.97,
"target_value": -3.2333333333333347
} | 27 |
b305367bc2e2ddaa066fe8b84210618a | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 5}, {"weight": 15, "source": 0, "target": 2}, {"weight": 10, "source": 2, "target": 3}, {... | {"states": [117, 110], "expectation_value": -18.803625805892416, "params": [[0.044000000000000004, -0.037000000000000005, -0.056], [-0.0714, -0.0063, 0.0609]], "bitstrings": ["10001010", "10010001"], "total_optimization_steps": 10, "probabilities": [0.012692304425474867, 0.014670778117046064], "optimization_time": 7.51... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 19.5 * Z(1) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 150.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.2364115448940784e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.2364115448940784e-08) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-1.2364115448940784e-08) q[2];
cx q[0], q[2];
rz(1.5707962546560008) q[0];
rx(1.5707963244966565) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIIZIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
19.5,
1.5,
15.5,
13,
15,
13,
10,
6.5
] | 0.915441 | [
-1.2364115448940784e-8,
-1.570796288521854,
1.570796254656001,
-1.5707962902301755,
-2.293530648554822,
-1.5707963341692412,
-1.570796326359869,
1.570796377596495,
1.5707963244966565
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 231 |
05d49a7fc39b30c4a6fe8fddcf8a0ac0 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [88, 35], "expectation_value": -1.019223359670978, "params": [[-0.06810000000000001, -0.0524, -0.055600000000000004], [0.0761, 0.068, 0.0636]], "bitstrings": ["0100111", "1011100"], "total_optimization_steps": 10, "probabilities": [0.014181328448427292, 0.014192160543378136], "optimization_time": 4.680770635... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + -1.5 * Z(6) + -1.0 * Z(3) + -0.5 * Z(2) + -1.5 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1011100", "0100111", "1100101", "1001101"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.21493813320880895) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.21493813320880895) q[3];
cx q[1], q[3];
rz(-0.42725429701420525) q[1];
rx(-0.43546813025131703) q[1];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.21493813320880895) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIIZIZI",
"ZIIZIII",
"ZIIIZII",
"IZZIIII",
"ZIZIIII",
"IIZZIII",
"IIZIZII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIIIZII",
"IIZIIII"
] | [
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,
-1.5,
-1,
-0.5,
-1.5
] | 0.970319 | [
0.21493813320880895,
-0.4272542970142054,
0.6996443743819517,
0.13185519206169583,
-0.43546813025131714,
-0.06399764068666867,
-0.9371916760271057,
0.5610814291560571,
0.5035362400336713,
0.43039485442026654,
-0.1403377421992738,
-0.07808590403612464,
0.1558547390602689,
0.829870827594546,... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 29 |
756d3d75bc595261d2d71e6ce1da2290 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, {"source": 4, "target": 6}, ... | {"states": [40, 41], "expectation_value": -2.644405314887349, "params": [0.08710000000000001, 0.1182, 0.0925, 0.1217, 0.29860000000000003, 0.044700000000000004, 0.3039, 0.019200000000000002, -0.0025, 0.2356, -0.0013000000000000002, 0.234, 0.30610000000000004, 0.0023, 0.3017, -0.0032, -0.0033, 0.21030000000000001, -0.00... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(4) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(3) @ Z(1)) + ... | 7 | 7 | 3 | {"smallest_eigenvalues": [-3.875], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.875, "smallest_bitstrings": ["1010110"], "largest_eigenvalue": 6.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
rz(-pi) q[1];
ry(-3.1338857358335) q[1];
h q[2];
ry(-0.5495864328688317) q[2];
cx q[0], q[2];
ry(0.5495864328688317) q[2];
cx q[0], q[2];
ry(1.072113664172264) q[0];
ry(-0.6043302756706039) q[2];
h q[3];
ry(1.5675370816886918) q[3];
h q[4];
ry(1.5670727524580514... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIIZ",
"IIZIZII",
"ZIIIZII",
"ZIZIIII",
"ZIZIZII",
"IIIZIZI",
"IZIIIZI",
"ZIIIIZI",
"IZIZIII",
"ZIIZIII",
"ZZIIIII",
"IZIZIZI",
"ZIIZIZI",
"ZZIIIZI",
"ZZIZIII",
"ZZIZIZI",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
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,
-0.5,
-0.125,
-0.75,
-0.125,
-0.75,
-0.625,
0.125
] | 0.995006 | [
-1.4177423017673916,
-1.5120016892075459,
1.5670727524580514,
1.5675370816886918,
-1.0991728657376634,
0.7345278817596457,
-0.24050535976088688,
-0.33733855362944315,
0.6751715648252363,
-0.5339834440823218,
0.10410437489350649,
-0.09932875554942433,
0.021932325724995955,
0.057329098589386... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
e2a1dd8d1e083192a6b4cbfd3d9c358e | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [66, 70], "expectation_value": -3.3182099597496357, "params": [[0.6561, -0.0823, 0.003, 0.0324, 0.4753, 0.8046000000000001, 0.0024000000000000002], [0.6575000000000001, 0.023100000000000002, 0.0009000000000000001, 0.0059, -0.2142, 0.6592, 0.002], [0.6456000000000001, -0.1668, 0.0032, 0.0161, 0.7072, 0.797600... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(4) @ Z(2)) + -0.125 * (Z(0) @ Z(4) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(4) @ Z(2... | 10 | 7 | 4 | {"smallest_eigenvalues": [-3.625, -3.625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.625, "smallest_bitstrings": ["0111001", "0110011"], "largest_eigenvalue": 6.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(2.561127667182971) q[0];
ry(3.0195808714253123) q[0];
rz(-0.4520108398180862) q[0];
rz(1.7445075787898734) q[1];
ry(0.11574428247104591) q[1];
rz(-1.3436041184858614) q[1];
rz(-2.2531635464792834) q[2];
ry(0.037223626689449285) q[2];
rz(-2.7063584668997773) q[2];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIIZZII",
"IIZIZII",
"IIZZIII",
"IIIZZIZ",
"IIZIZIZ",
"IIZZIIZ",
"IIZZZII",
"IIZZZIZ",
"IZIZIII",
"ZZIIIII",
"IIZIIZI",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.5,
-0.125,
-0.5,
-0.625,
-0.125,
-0.125,
-0.5,
-1
] | 0.974239 | [
1.4488290548844476,
-0.015782899398086414,
-0.15977208976832585,
0.41519064662032595,
-0.23497257928300502,
0.8055126599094278,
1.2553479660937912,
0.13199639482680087,
0.8906888029167648,
0.015318618946984969,
-0.17372367290419877,
-0.25290279496706136,
-0.11046954972514925,
-0.2301598033... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 18 |
238da0afcff22b3cc95b712a7ad70447 | 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": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [25, 28], "expectation_value": -4.499937482213634, "params": null, "bitstrings": ["100110", "100011"], "total_optimization_steps": 24, "probabilities": [1.6356118803656356e-05, 0.9999687418097178], "optimization_time": 14.551012516021729} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + -0.5 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z(1) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100011"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.15400852379458427) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.15400852379458427) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.15400852379458427) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.15400852379458427) q[0];
cx q[3], q[0]... | 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",
"IZIZII",
"IZIIIZ",
"ZIIIIZ",
"ZIZIII",
"ZZIIII",
"IZIIZI",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIIZI"
] | [
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,
-0.5
] | 0.699923 | [
0.15400852379458427,
-0.16652351332765766,
0.9539397028763626,
1.06600767204121,
-0.6690269654905423,
0.34760366534217846,
-0.3361262054812998,
1.1832235155449329,
-0.26439160478237117,
-0.374497929541955
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 323 |
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": -56.66995860285678, "params": [2.1949, 0.0039000000000000003, 1.1682000000000001, 0.0019, 2.2094, 0.0047, 2.2066, 0.0032, 1.5315, 0.0083, 2.1969000000000003, 0.0082, 2.2021, 0.006500000000000001, 0.002, 0.0079, -0.0047, 0.0058000000000000005, -0.0017000000000000001, 0.0073, 0... | 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) +... | 18 | 10 | 1 | {"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 |
1d36f605f450bd24c53bed4c61ab6422 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6... | {"states": [35, 51], "expectation_value": -5.999992674318019, "params": null, "bitstrings": ["1011100", "1001100"], "total_optimization_steps": 25, "probabilities": [0.4999990845657494, 0.4999990845657494], "optimization_time": 21.915752172470093} | -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 | 4 | {"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... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5706) q[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", "... | [
"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 |
9e72b7dd0d69a46b7f007aaed5517323 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 5, "target": 3}]} | {"states": [28, 7], "expectation_value": -3.9155566914064512, "params": [[-0.0641, -0.0379, -0.040400000000000005], [0.07680000000000001, 0.058300000000000005, 0.053500000000000006]], "bitstrings": ["100011", "111000"], "total_optimization_steps": 10, "probabilities": [0.03209740098739842, 0.03398730050043589], "optimi... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 * ... | 11 | 6 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(1.5706415412178192) q[0];
ry(0.17738065745091058) q[0];
rz(-1.2289331769937306) q[0];
rz(-2.0064394391485636) q[1];
ry(0.05195164644631841) q[1];
rz(1.6158226668893017) q[1];
rz(-1.4591808629773537) q[2];
ry(0.1438680830206584) q[2];
rz(1.3823592347405116) q[2];
rz(-... | 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... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
1.75,
2,
2,
2,
2,
2,
2,
1.75,
-0.5,
-1,
-0.5,
-0.25,
-0.5,
-0.25
] | 0.981301 | [
0.1774500647835066,
0.3748855468174612,
0.04098849267156553,
-0.24415803312160173,
-0.24801868974247307,
-0.151177436467156,
1.6175791763168208,
-0.03242731533050097,
1.9188194167141894,
0.05578166470394768,
1.8647875584561593,
-0.06973403478083848,
-0.0000745897025684443,
-0.0331747529448... | {
"n_parameters": 24,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 16 |
7d8c120b950f82240c2b01ae7c753ace | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 5, "s... | {"states": [438, 247], "expectation_value": -8.83676530958731, "params": null, "bitstrings": ["001001001", "100001000"], "total_optimization_steps": 82, "probabilities": [0.1203732110844705, 0.5562330147115188], "optimization_time": 136.79744148254395} | -0.25 * (Z(0) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.75 * (Z(4) @ Z(1)) + -1.25 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + -1.75 * (Z(7) @ Z(4)) + -0.25 * (Z(7) @ Z(5)) + -1.25 * (Z(2) @ Z(8)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(3)... | 1 | 9 | 3 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.5, "smallest_bitstrings": ["100000000", "100001000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(-0.0006716325042154664) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(-0.0006716325042154664) q[1];
cx q[6], q[1];
cx q[1], q[4];
rz(-1.3581049552887894) q[4];
cx q[1], q[4];
cx q[6], q[5];
rz(-1.2020433... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5709) 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] = ... | [
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIZIIIIZI",
"IIIIZIIZI",
"IIZZIIIII",
"IIIZIIIZI",
"IIIZZIIII",
"IZZIIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZIZIIIII",
"ZIIIIIZII",
"IZIIIZIII",
"IIIIIZZII",
"IIZIIIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"... | [
-0.25,
0.5,
-0.25,
-0.75,
-1.25,
-1.25,
-0.25,
-0.5,
-0.25,
-1.75,
-0.25,
-1.25,
-0.5,
-0.5,
1.25,
-0.25,
-0.75,
2.5,
0.25,
-3,
-0.75,
0.75,
0
] | 0.801205 | [
-0.0006716325042154664,
0.000010565424425903949,
-1.3581049552887894,
-0.000001202043307248502,
-0.0000013554866091444424,
-0.000005342637836494328,
-1.5707962505940247,
-1.5707533605711173,
-1.570555464609826,
-1.570796263828308,
-1.5707964040538356,
-1.5707962652461258,
-1.5707621300938583... | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 308 |
100b035d500fd4645fd2b0e271b9dd47 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 4}, {"capaci... | {"states": [36, 5], "expectation_value": -5.7496317662910466, "params": null, "bitstrings": ["011011", "111010"], "total_optimization_steps": 20, "probabilities": [3.1555071643406036e-05, 0.999906214239704], "optimization_time": 13.996546745300293} | -0.75 * (Z(0) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(5) + -1.5 * Z(1) + 0.5 * Z(4) + 1.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["111010"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.036361120549268114) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.036361120549268114) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.036361120549268114) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(-0.036361120549268114) 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];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"ZIIIIZ",
"IIIZZI",
"IZIZII",
"ZZIIII",
"IZIIZI",
"IIZZII",
"ZIZIII",
"IZZIII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IZIIII",
"IIZIII"
] | [
-0.75,
1,
-0.75,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
-0.25,
0,
-0.25,
0.25,
-1.5,
0.5,
1
] | 0.970014 | [
-0.036361120549268114,
0.14405844121527378,
-0.13116864722027602,
-0.09016403948180983,
-0.42208946727799673,
1.032345964282921,
-0.27380445100274553,
-0.67408198946556,
-0.7224973711725445,
-0.10950294361258778,
0.4622101983096701,
-0.0277322755715016,
0.07715182970014163,
0.5101723696398... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 90 |
f438dd84874324e8039dc4edeb3bf57b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [5, 29], "expectation_value": -7.4671867379307, "params": null, "bitstrings": ["111010", "100010"], "total_optimization_steps": 41, "probabilities": [0.06911670361740486, 0.8393954505033191], "optimization_time": 29.8393874168396} | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + 0.0 * Z(2) + -1.5 * Z(5) + 1.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["100010"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.08518445392886709) q[0];
h q[1];
ry(0.7344530129428192) q[1];
h q[2];
cx q[2], q[1];
ry(-0.7344530129428192) q[1];
cx q[2], q[1];
ry(1.0101684841631557) q[1];
ry(0.3778026982403184) q[2];
h q[3];
ry(1.4689060258856383) q[3];
cx q[3], q[2];
ry(-0.37780269824... | 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(1.5708) q[2], 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 \... | [
"IZIIIZ",
"IZIIZI",
"IZIZII",
"IIIZZI",
"ZIIIIZ",
"ZIIIZI",
"ZIIZII",
"IIZIZI",
"IIZZII",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"ZIIIII",
"IIZIII"
] | [
-0.75,
-0.5,
-0.5,
-2,
1,
-1,
-0.75,
-0.5,
-0.25,
-0.75,
-0.75,
-0.25,
1,
0,
-1.5,
1.5
] | 0.970023 | [
1.4689060258856383,
0.7556053964806368,
1.0101684841631557,
0.7450025616198421,
1.116283706090253,
0.17036890785773418,
-1.7697599114863298,
-0.4403637208421415,
1.9537061785283334,
-1.0502727024979575,
-0.15078201215917703,
-0.018246425341645917,
0.10291598989964974,
0.5684135011893949,
... | {
"n_parameters": 19,
"n_qubits": 6,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 137 |
e8a95cce97a2a99e5fb4ca921097e594 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "source": 1, "target": 6}, {"capac... | {"states": [119, 247], "expectation_value": -8.346608042375438, "params": null, "bitstrings": ["1110001000", "1100001000"], "total_optimization_steps": 100, "probabilities": [0.42498841317131325, 0.42576355346173844], "optimization_time": 226.57225346565247} | -0.5 * (Z(0) @ Z(6)) + -1.25 * (Z(1) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + 0.75 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(9)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.5, "smallest_bitstrings": ["1110011000", "1110001000", "1100001000"], "largest_eigenvalue": 10.5} | 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];
cx q[6], q[0];
rz(-4.477868465969353e-08) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(1.5707962835957394) q[1];
cx q[6], q[1];
cx q[1], q[4];
rz(-1.6039293911235947e-08) q[4];
cx q[1], q[4];
cx q[1], q[5];
cx q[4], q[3... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.5706) 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]... | [
"IIIZIIIIIZ",
"IIIZIIIIZI",
"IIIIIZIIZI",
"IIIIIZZIII",
"ZIIIIIIIIZ",
"ZIIIIIZIII",
"IIIIIZIZII",
"IIIIZIIIZI",
"IIIIZZIIII",
"IIIIZIIZII",
"IZIIIZIIII",
"ZZIIIIIIII",
"IIZIIIZIII",
"ZIZIIIIIII",
"IIIZIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"ZIIIIIIIII"... | [
-0.5,
-1.25,
-0.25,
-0.75,
0.75,
-0.5,
-0.5,
-0.75,
-0.5,
-0.75,
-0.25,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
1.25,
0,
-0.75,
-1.25,
1,
0.25,
0.75
] | 0.708815 | [
-4.477868465969353e-8,
1.5707962835957394,
-1.6039293911235947e-8,
1.120489413882009e-8,
-1.5707963832734853,
-1.5707963206579452,
-1.5707964246126933,
-1.5707963792403803,
-1.570796363368661,
1.1082793290171544
] | {
"n_parameters": 10,
"n_qubits": 10,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 237 |
6f8c6ff9996b89cfcf990ffd7b6839cc | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [135, 191], "expectation_value": -1.360017779410074, "params": [[0.0776], [-0.06720000000000001]], "bitstrings": ["1101111000", "1101000000"], "total_optimization_steps": 10, "probabilities": [0.0016322203335620781, 0.0017263989076255694], "optimization_time": 1.8052067756652832} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(9)) + 1.0 * (Z(2) @ Z(9)) + -2.0 * (Z(2) @ Z(7)) + -2.0 * (Z(8) @ Z(9)) + 1.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(2)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(3) + 0.5 * ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["1101000000"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.01801071332341883) q[0];
rz(1.8498505632002704) q[0];
rx(0.0923282930021966) q[1];
rz(2.779403183210836) q[1];
rx(-0.9488708224962118) q[2];
rz(2.5858790702443635) q[2];
rx(-0.05891790588806183) q[3];
rz(2.3077944112704394) q[3];
rx(-0.8055219949925988) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x0) q[3];
cx q[1]... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"ZIZIIIIIII",
"ZIIIIIIZII",
"IIZIIIIZII",
"ZZIIIIIIII",
"IZZIIIIIII",
"IZIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IIZIIIIIII"... | [
-2,
-2,
1,
-1.5,
0.5,
-1.5,
-2,
1,
-2,
-2,
1,
-2,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.939419 | [
-0.018010713323418828,
0.2790542364053733,
0.0923282930021966,
1.2086068564159393,
-0.9488708224962119,
1.0150827434494665,
-0.05891790588806183,
0.7369980844755415,
-0.8055219949925988,
1.5363273511796518,
-0.014484248344069073,
1.283563498335998,
-0.7814140888508997,
1.1826500323417923,
... | {
"n_parameters": 194,
"n_qubits": 10,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 500 |
16e531ebd5c4fa365456c9500ea8e716 | 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": [38, 7], "expectation_value": -12.588143650301648, "params": null, "bitstrings": ["1011001", "1111000"], "total_optimization_steps": 63, "probabilities": [0.10773790860779595, 0.6115449305490317], "optimization_time": 81.64960980415344} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 16 | 7 | 2 | {"smallest_eigenvalues": [-13.5], "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(-0.17931700348995208) q[0];
rz(-0.5295651513983046) q[0];
rx(0.1383091762588557) q[1];
rz(-2.4427159179592346) q[1];
rx(0.19192920998953547) q[2];
rz(0.7692060885471252) q[2];
rx(0.010941951037614334) q[3];
rz(1.0249064769628937) q[3];
rx(3.3823159256033737) q[4];
rz... | 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,
2.5,
2.5,
2.25,
2.25,
2.5,
2.5,
-3.25,
-3.5,
-3.5,
-3.5,
-3,
-2.75,
-3
] | 0.970005 | [
-0.17931700348995208,
-0.5295651513983046,
0.1383091762588557,
-2.4427159179592346,
0.19192920998953547,
0.7692060885471252,
0.010941951037614334,
1.0249064769628937,
3.3823159256033737,
0.76377487209716,
2.7495714135870237,
0.6576922218401471,
3.0317260152509355,
-2.4912281243830905
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 29 |
52889798901663635 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4], [4, 6], [4, 7], [5, 6], [2, 6], [0, 4], [6, 7], [3, 5], [3, 7], [0, 6], [1, 2], [2, 7], [2, 5], [0, 1], [5, 7], [1, 4], [2, 3]]} | {"states": [114, 83], "expectation_value": -3.1428097497124727, "params": null, "bitstrings": ["10001101", "10101100"], "total_optimization_steps": 67, "probabilities": [0.0545789667416972, 0.7804303220475919], "optimization_time": 118.18439221382141} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["01011110", "10101100", "01010011", "10100101", "01011010", "10100001"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(-0.43983373838928924) q[2];
cx q[4], q[2];
h q[5];
h q[6];
cx q[4], q[6];
rz(-0.43983373838928924) q[6];
cx q[4], q[6];
cx q[2], q[6];
rz(-0.43983373838928924) q[6];
cx q[2], q[6];
h q[7];
cx q[4], q[7];
rz(-0.43... | 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[7], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIZIZII",
"IZIZIIII",
"IZIIIZII",
"ZIIZIIII",
"ZIIIIZII",
"ZZIIIIII",
"IIZIIZII",
"IZZIIIII",
"ZIZIIIII",
"IIIZIIIZ",
"IZIIIIIZ",
"IIIIZZII",
"ZIIIZIII",
"IIZIZIII",
"IIIZIIZI",
"IIIIIZZI",
"IIIIIIZZ",
"IIIZIIII",
"IIIIIZII",
"IZIIIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIIII... | [
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
] | 0.490375 | [
-0.43983373838928924,
-1.0086118194557036e-8,
0.5910878066211581
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 93 |
4882903103032644348 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 2, 6], [1, 2, 7], [8, 1, 5, 7], [1, 3, 4, 7], [8, 2, 6, 7], [0, 1, 3, 7, 8], [0, 2, 4, 5, 7, 8], [0, 1, 4, 8], [8, 1, 4, 6]]} | {"states": [251, 249], "expectation_value": -1.3981226718898068, "params": [0.7753, 0.4454, 0.7752, 0.0068000000000000005, 0.7962, 0.4415, 0.7887000000000001, 0.0059, 1.3604, -0.003, 1.3521, 0.0018000000000000002, 1.325, -0.0004, 1.3274000000000001, 0.0051, 1.3366, -0.0081, 1.339, 0.0099, 1.3058, 0.10650000000000001, 1... | 0.3833333333333333 * (Z(8) @ Z(1)) + 0.25 * (Z(2) @ Z(1)) + 0.19999999999999998 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.25 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.3833333333333333 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(8)) + 0.2833333333333333 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(7... | 7 | 9 | 1 | {"smallest_eigenvalues": [-2.149999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.066666666666667, "smallest_bitstrings": ["100000110"], "largest_eigenvalue": 8.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.15515911146819464) q[0];
rz(0.6596570584326784) q[0];
rx(1.9266999521474537) q[1];
rz(0.2102797019019467) q[1];
cx q[1], q[0];
rz(-0.2633463454269619) q[0];
cx q[1], q[0];
rx(0.35994820276329254) q[0];
rz(0.27976979803275914) q[0];
rx(1.1257583050865752) q[1];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIZI",
"IIIIIIZZI",
"ZIIIIIZII",
"IIZIIIIZI",
"ZIZIIIIII",
"IIZIIIZII",
"IZIIIIIZI",
"ZZIIIIIII",
"IZIIIIZII",
"IZZIIIIII",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIZIIZII",
"IZIZIIIII",
"IIIIIZIZI",
"ZIIIIZIII",
"IZIIIZIII",
"IIIIZIIZI",
"ZIIIZIIII",
"IIIIZIZII",
"IIZIZIIII",
"... | [
0.3833333333333333,
0.25,
0.19999999999999998,
0.16666666666666666,
0.25,
0.16666666666666666,
0.3833333333333333,
0.25,
0.2833333333333333,
0.08333333333333333,
0.08333333333333333,
0.11666666666666667,
0.03333333333333333,
0.11666666666666667,
0.13333333333333333,
0.05,
0.133333333... | 0.978858 | [
-0.15515911146819464,
0.3963107130057153,
1.9266999521474537,
0.2102797019019467,
1.5895934126493287,
0.12793535619883048,
1.3686634175575019,
0.21713082598768185,
1.4025272894703684,
-0.2270894780886212,
1.1671431353728516,
-0.09232651514204224,
0.20138731443071003,
-0.7005101734090501,
... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -2.149999999999999,
"target_ratio": 0.97,
"target_value": -2.085499999999999
} | 21 |
d1df537b8f7eacc6f0ca14b18760c116 | 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": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [440, 442], "expectation_value": -8.000817249414732, "params": [0.0025, 0.0022, 3.1445000000000003, 0.0032, 3.1445000000000003, 0.0022, 0.0031000000000000003, 0.009000000000000001, 3.1447000000000003, 0.0061, 3.1443000000000003, 0.001, 3.1442, 0.006500000000000001, -0.0024000000000000002, 0.00360000000000000... | 1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z... | 18 | 10 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["1000000001", "1000000010", "1001000110", "1001000101"], "largest_eigenvalue": 28.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.7937705898048096) q[0];
h q[1];
ry(0.6192559707330874) q[1];
h q[2];
ry(1.545665404851387) q[2];
h q[3];
ry(0.8722854136704878) q[3];
h q[4];
ry(1.545665404851387) q[4];
cx q[4], q[1];
ry(-0.6192559707330874) q[1];
cx q[4], q[1];
cx q[4], q[0];
ry(0.79377... | 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": []} | [
"IIIIIIIZZI",
"IIZIIIZIII",
"IIIIIZIZII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIZIIZIIII",
"IIIIZIZIII",
"IIZIZIIIII",
"IIIIZZIIII",
"IIIZIIZIII",
"IIZZIIIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIZIIIZ",
"IZIIIIIZII",
"IZIIIIIIZI",
"IZIIIZIIII",
"IZIIIIIIIZ"... | [
1,
-1,
0.5,
0.5,
0.5,
-0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
2,
2,
1.5,
-1.5,
2.5,
1.5,
1.5,
0.5,
-1,
-1
] | 0.99397 | [
1.545665404851387,
1.7445708273409757,
1.5815739478927993,
1.2385119414661747,
-1.5875411796096193,
1.0341795361675983,
1.443948565645053,
-1.2687313125160538,
0.7910102675394354,
-0.49367531849502655,
0.5884490707767628,
-0.34137358121040356,
0.3593949234668095,
0.15884005412046098,
0.3... | {
"n_parameters": 38,
"n_qubits": 10,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 1 |
3f554556cd0e6dd6e1505b69025840b5 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 8}, {"source": 2, "target": 3}, {"sour... | {"states": [178, 186], "expectation_value": -6.091912737354164, "params": [[[0.0038, -0.5466], [0.9955, -0.0016], [-0.0039000000000000003, -0.4713], [0.9851000000000001, -0.004], [1.0008000000000001, 0.0007], [0.5995, -0.0029000000000000002], [0.0017000000000000001, -0.5902000000000001], [0.9994000000000001, -0.0034000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(5) + -0.5 * Z(7) + ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["101000101"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(1.2795854680876557) q[0];
ry(0.05922693506684037) q[0];
rz(-2.334295101238432) q[0];
rz(-0.9688721077438256) q[1];
ry(2.7939963782427624) q[1];
rz(1.9493424060273234) q[1];
rz(0.28433633033038097) q[2];
ry(0.11271888782600933) q[2];
rz(-1.3042965236087602) q[2];
rz(2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IZIIIIIIZ",
"ZIIZIIIII",
"ZIIIIIIZI",
"IIIIIZZII",
"ZIIIIZIII",
"IIZZIIIII",
"IZZIIIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIZIII",
"IIZIIIIII",
"IIIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-0.5,
-1,
0,
-1,
-1.5,
0
] | 0.971312 | [
0.1533523085051591,
-0.741979132909054,
1.164805525932419,
-0.12272178891822434,
-0.1260521354455199,
-0.5186426612685969,
1.0019865785538564,
0.045575269619800324,
1.0583718085320974,
0.18557843530976081,
0.7704349941250428,
0.22003215678102409,
-0.025439314700272435,
-0.4970198876010236,... | {
"n_parameters": 47,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 5 |
-7870954329946887005 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[5, 7], [0, 2, 3, 4], [1, 4, 6, 9, 11], [0, 1, 3, 4, 7], [0, 1, 2, 4, 8], [0, 11, 4, 6], [2, 4, 6], [2, 11, 4], [0, 3, 5, 8, 10], [11, 2, 3], [1, 2, 3, 7, 10], [0, 2, 10, 7], [9, 10], [1, 6, 7, 8, 10], [8, 2, 7], [1, 3, 5, 6, 11], [0, 2, 5, 9, 11]]} | {"states": [3627, 3691], "expectation_value": -3.367357229280459, "params": [[[3.1617, 0.0028], [3.1605000000000003, 0.0018000000000000002], [2.8858, 0.0005], [1.1739000000000002, 0.0066], [1.1096000000000001, 0.0016], [1.6321, 0.0043], [3.1592000000000002, 0.0081], [0.8629, 0.0012000000000000001], [3.1599, 0.003100000... | 0.5 * (Z(5) @ Z(7)) + 0.13333333333333333 * (Z(0) @ Z(7)) + 0.1 * (Z(0) @ Z(5)) + 0.3 * (Z(2) @ Z(7)) + 0.05 * (Z(2) @ Z(5)) + 0.26666666666666666 * (Z(2) @ Z(0)) + 0.1 * (Z(3) @ Z(7)) + 0.1 * (Z(3) @ Z(5)) + 0.18333333333333335 * (Z(3) @ Z(0)) + 0.3 * (Z(3) @ Z(2)) + 0.05 * (Z(4) @ Z(7)) + 0.26666666666666666 * (Z(4) ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-4.4], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.2333333333333325, "smallest_bitstrings": ["000110010100"], "largest_eigenvalue": 16.00000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(3.2142603757723953) q[0];
rz(0.27842571617601497) q[0];
rx(3.3647864627575017) q[1];
rz(0.4388488335658073) q[1];
rx(3.090394785883616) q[2];
rz(0.1523660890934932) q[2];
rx(0.5835375380889277) q[3];
rz(-0.19751039055850605) q[3];
rx(-0.025438525300332582) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZIIIII",
"IIIIZIIIIIIZ",
"IIIIIIZIIIIZ",
"IIIIZIIIIZII",
"IIIIIIZIIZII",
"IIIIIIIIIZIZ",
"IIIIZIIIZIII",
"IIIIIIZIZIII",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIZIIZIIII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIZIIIIIZI",
"IIIIIIZIIIZI",
"IIIIIIIIIIZZ",
"IIIIIIIII... | [
0.5,
0.13333333333333333,
0.1,
0.3,
0.05,
0.26666666666666666,
0.1,
0.1,
0.18333333333333335,
0.3,
0.05,
0.26666666666666666,
0.4666666666666667,
0.13333333333333333,
0.15000000000000002,
0.05,
0.1,
0.1,
0.15000000000000002,
0.15000000000000002,
0.05,
0.05,
0.083333333333... | 0.980369 | [
3.2142603757723953,
0.27842571617601497,
3.3647864627575017,
0.4388488335658073,
3.090394785883616,
0.1523660890934932,
0.5835375380889277,
-0.19751039055850605,
-0.025438525300332582,
0.01595164682407252,
2.9499538049052574,
-0.11326379752811647,
2.855127639610595,
-0.24159330342743024,
... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -4.4,
"target_ratio": 0.97,
"target_value": -4.268
} | 16 |
f619afa25c1921f996d128a1dfefef72 | 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": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [30, 27], "expectation_value": -3.4998990606636267, "params": null, "bitstrings": ["100001", "100100"], "total_optimization_steps": 25, "probabilities": [1.6414427502403502e-05, 0.9999303742828826], "optimization_time": 13.562744140625} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(4) + -0.5 * Z(3) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100100"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.4936559659629063) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.013500835409830762) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.013500835409830762) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(1.4936559659629063) q[3];
cx q[2], q[3... | 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[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",
"IIZZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1,
-0.5,
0,
-0.5,
0
] | 0.974012 | [
1.4936559659629063,
0.013500835409830762,
-0.004945064526051042,
0.0475064589351132,
-0.0973573450378921,
-0.024370407967199997,
0.09398041354422079,
-0.7569490972859623
] | {
"n_parameters": 8,
"n_qubits": 12,
"optimal_eigenvalue": -1.52,
"target_ratio": 0.97,
"target_value": -1.4744
} | 27 |
c0867fa83c27790e640a8471c35b357b | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 7},... | {"states": [2047, 1023], "expectation_value": -18.52386807615808, "params": [[[-1.6207, 0.0016], [0.0025, 0.001], [0.0024000000000000002, 0.0067], [0.0023, 0.0092], [0.0023, 0.0046], [0.0023, 0.0025], [0.0023, 0.0013000000000000002], [0.0023, 0.0051], [0.0021000000000000003, 0.0085], [-0.0027, 0.0023], [3.1603000000000... | -1.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(2)) + -2.0 * (Z(10) @ Z(2)) + 0.5 * (Z(10) @ Z(9)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(9)) + -1.5 * (Z(1) @ Z(10)) + 0.5 * Z(4) + 0.5 * Z(3... | 2 | 11 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(3.1415923092200906) q[0];
ry(0.6151822522510383) q[0];
rz(-1.5707959051185434) q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-1.5533407020371541) q[3];
cx q[4], q[3];
rz(0.02014685341594369) q[3];
rx(-0.9556140745439001) q[3];
rz(0.02014685341594369) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIZZIII",
"IIIIZZIIIII",
"IIZIZIIIIII",
"IIZIIZIIIII",
"IIIZZIIIIII",
"IIIZIZIIIII",
"IIZZIIIIIII",
"IZIIIIIIZII",
"ZIIIIIIIZII",
"ZZIIIIIIIII",
"IIIIIIIIZZI",
"IZIIIIIIIZI",
"ZIIIIIIIIZI",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIII... | [
-1,
-2,
1,
-2,
-2,
1,
-2,
-2,
-2,
0.5,
-2,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.553221 | [
-1.5533407020371541,
-0.816371998924727,
-0.5241907302168147,
0.020146853415943692,
-1.157571510725252,
-1.5707960834423649,
-0.9556140745439001
] | {
"n_parameters": 7,
"n_qubits": 11,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 207 |
eedfffae46889ceabb09be93decddfde | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 2}, {"weight": 4, "source": 2, "target": 3}, {"... | {"states": [121, 109], "expectation_value": -18.79335628453542, "params": [[-0.0349, 0.008400000000000001], [0.07780000000000001, 0.0683]], "bitstrings": ["10000110", "10010010"], "total_optimization_steps": 10, "probabilities": [0.011291172076629694, 0.012166772238733529], "optimization_time": 4.074785232543945} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 2.0 * Z(0) + 18.0 * ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 138.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(4.217220369268761e-08) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(4.217220369268761e-08) q[1];
cx q[2], q[1];
rz(1.2027812523740522e-08) q[2];
rx(1.5707964081955679) q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[0], q[6];
rz(4.21722036... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIZII",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
2,
18,
6,
19.5,
14.5,
5,
7.5
] | 0.555556 | [
4.217220369268761e-8,
1.2027812282288794e-8,
1.5707961882202157,
1.570796334854686,
-1.5707962765535362,
1.570796408195568
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 169 |
-710647696864117693 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 4], [0, 1, 3, 5], [2, 3]]} | {"states": [22, 23], "expectation_value": -1.1031099376313938, "params": null, "bitstrings": ["101001", "101000"], "total_optimization_steps": 32, "probabilities": [0.18768000066143703, 0.25037565016230623], "optimization_time": 27.843244552612305} | 0.5 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.125 * Z(1) + 0.125 *... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.2500000000000004, -1.2500000000000004], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.25, "smallest_bitstrings": ["101000", "011000"], "largest_eigenvalue": 1.9999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.48779071653440786) q[0];
ry(-2.471851483014609) q[1];
rz(-pi) q[1];
h q[2];
ry(-0.1518157245043459) q[2];
h q[3];
ry(1.2577198745717448) q[3];
h q[4];
cx q[4], q[2];
ry(0.1518157245043459) q[2];
cx q[4], q[2];
ry(-0.2427395945599177) q[2];
cx q[3], q[2];
r... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[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 ... | [
"IZIZII",
"IIIIZZ",
"IIZZII",
"IIZIZI",
"IIZIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"IZIIII",
"IIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0,
0,
0.125,
0.125,
0.1250000000000001,
0.125
] | 0.97352 | [
-0.3036314490086918,
1.2577198745717448,
-0.4854791891198354,
1.420960075303769,
-0.588826659267481,
0.2223049965838958,
0.20049123414847034,
-0.1518406634252474,
0.6607376826736875,
0.48063494709205073,
-0.2267362392752049,
-0.9755814330688157,
0.4203631618042976,
-0.4637934619520646,
-... | {
"n_parameters": 28,
"n_qubits": 6,
"optimal_eigenvalue": -1.2500000000000004,
"target_ratio": 0.97,
"target_value": -1.2125000000000004
} | 22 |
7ddda694e653fb504404310bcf4fe402 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [39, 103], "expectation_value": -57.081748406993555, "params": [[[0.7648, -0.2008], [-0.2467, -0.1864], [0.7042, 0.0683], [0.10640000000000001, 0.0086], [0.0246, 0.019], [0.9366000000000001, 0.2711], [0.2696, 0.48200000000000004], [0.6838000000000001, 0.3925]], [[0.6248, -0.0129], [-0.5930000000000001, 0.059... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(6) @ Z(5)) + 1.0 * Z(0) + 1.0 * Z(1) + 9.0 * Z(2) + -2.0 * Z(3) + 7.5 * Z(4) + 14.5 * Z(7) + 15.0 * Z(5) + 12.5 * Z(6) | 15 | 8 | 4 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10011000"], "largest_eigenvalue": 112.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(1.1630942893964897) q[0];
ry(-0.37656222735886946) q[1];
ry(0.748792549699735) q[2];
ry(0.11688684239585334) q[3];
ry(0.04168499870319258) q[4];
ry(0.8798694708853052) q[5];
ry(-0.27115711659819763) q[6];
ry(1.0727476934874303) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZZII",
"ZIIZIIII",
"IIZZIIII",
"ZIZIIIII",
"IZIZIIII",
"ZZIIIIII",
"IZZIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
1,
1,
9,
-2,
7.5,
14.5,
15,
12.5
] | 0.971382 | [
1.1630942893964897,
-0.37656222735886946,
0.748792549699735,
0.11688684239585334,
0.04168499870319258,
0.8798694708853052,
-0.27115711659819763,
1.0727476934874303,
-0.07607250953202763,
-0.0736272423817687,
0.09165775731142317,
-0.023459060638680154,
0.05152040293591917,
-0.32753535549374... | {
"n_parameters": 64,
"n_qubits": 8,
"optimal_eigenvalue": -63.5,
"target_ratio": 0.97,
"target_value": -61.595
} | 53 |
f36e7085d113ead03bd51a9e3abaacd0 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"sour... | {"states": [425, 417], "expectation_value": -7.285138819039634, "params": [0.2967, 0.29650000000000004, 0.27790000000000004, 0.2773, -0.0001, 0.0027, 0.3057, 0.30110000000000003, -0.0029000000000000002, 0.0011, 0.11850000000000001, 0.1217, 0.0035, -0.0012000000000000001, 0.0027, -0.001, 0.3027, 0.3048, 0.3027, 0.3023, ... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) ... | 13 | 9 | 4 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.0, "smallest_bitstrings": ["001011101", "001011110", "011010110"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.35467980586716663) q[0];
rz(0.04592441830690765) q[0];
ry(0.4207145771645683) q[1];
ry(0.011121742823200057) q[2];
ry(0.19543385870679225) q[3];
ry(0.13570426569045418) q[4];
ry(0.1397461999298102) q[5];
ry(-0.051401544232421305) q[6];
ry(-0.10673387783232724) q[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... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"IIZIZIIII",
"IIIIIIZZI",
"IIZIIIIZI",
"IIIZIIIZI",
"IIIIIZZII",
"IIIIZZIII",
"IZIIIIZII",
"IZIIZIIII",
"IZIZIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIZIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1,
-2.5,
-2,
-1,
-0.5,
-0.5,
-1.5,
-1
] | 0.975563 | [
0.35467980586716663,
0.4207145771645683,
0.011121742823200057,
0.19543385870679225,
0.13570426569045418,
0.1397461999298102,
-0.051401544232421305,
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0.5705222838054779,
0.0918488366138153,
0.05098981733593009,
-0.023589207981060498,
0.09782727450452847,
-0.303090851252... | {
"n_parameters": 121,
"n_qubits": 9,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 6 |
-7841320215262725219 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 5], [0, 2], [1, 2, 4, 5], [0, 3, 5]]} | {"states": [53, 29], "expectation_value": -1.3585394088514633, "params": null, "bitstrings": ["001010", "100010"], "total_optimization_steps": 30, "probabilities": [0.044827069739978596, 0.9113836987606587], "optimization_time": 26.5322265625} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.25 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.16666666... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.4166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.3333333333333337, "smallest_bitstrings": ["100010"], "largest_eigenvalue": 3.5000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.22340899797940786) 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(0.060554165812581585) q[5];
cx q[1], q[5];
cx q[0], q[5];
cx q[1], q[2];
rz(0.036552475395125274) q[2];
cx q[1], q[2];
cx q[1], q[4];
rz(0.03655... | 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(1.4074) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIIZZ",
"ZIIIZI",
"ZIIIIZ",
"IIIZZI",
"IIIZIZ",
"ZIIZII",
"IZIIZI",
"ZZIIII",
"IZIZII",
"IIZIIZ",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IZIIII",
"IIZIII"
] | [
0.16666666666666666,
0.25,
0.3333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.29166666666666663,
0.3333333333333335,
0.45833333333333337,
0.1250000000000001,
0.125... | 0.667733 | [
0.22340899797940786,
0.060554165812581585,
0.013562151282243588,
0.036552475395125274,
1.488226417246031,
1.4024197021471703,
1.454973909411638,
-0.01224052752524754,
-0.8831764690256657
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -1.4166666666666667,
"target_ratio": 0.97,
"target_value": -1.3741666666666668
} | 223 |
5685d04b4306b22ae56a2bbc733b9334 | 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": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [42, 74], "expectation_value": -4.496446952351245, "params": null, "bitstrings": ["1010101", "0110101"], "total_optimization_steps": 28, "probabilities": [0.0670129819919766, 0.9297039673563083], "optimization_time": 27.51710867881775} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 * Z(4) + -1.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1010101", "0110110", "0110101", "0101110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-0.49282358549026595) q[1];
cx q[0], q[1];
ry(0.49282358549026595) q[1];
cx q[0], q[1];
ry(1.1446259845620295) q[0];
ry(-0.6888141989310146) q[1];
ry(-0.19217653237367516) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4112833892421122) q[3];
cx q[3], q[0];
ry(-0.2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... | [
"IIIIIZZ",
"IIZIIIZ",
"ZIIIIZI",
"ZIZIIII",
"IIZIZII",
"IIZZIII",
"IIIZZII",
"IZZIIII",
"ZZIIIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII",
"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,
-1,
-0.5,
-1
] | 0.996069 | [
-1.512573322416855,
-1.2799726973009975,
1.4112833892421122,
1.4283200724327585,
-0.9856471709805319,
0.8613116077479857,
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0.5666287536280875,
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0.13268498545644442,
-0.19868435239417664,
-0.1201447435527441,
0.2739459079713497,... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
edc3bac605c0e8fb4f027513dd92e8fb | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [206, 117], "expectation_value": -0.062374177509871565, "params": [[0.0777], [-0.07780000000000001]], "bitstrings": ["00110001", "10001010"], "total_optimization_steps": 10, "probabilities": [0.00438115554912232, 0.004381155549122323], "optimization_time": 4.514728546142578} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -1.25, "smallest_bitstrings": ["01010100", "11000010", "00110001", "00111000", "10010001", "10000011", "01000110", "01001010", "01110000", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.16175234084033957) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.16175234084033957) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.16175234084033957) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.16175234084033957) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[2], q[0]... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIIZZIIZ",
"IIZIZIIZ",
"IIZZIIIZ",
"IIZZZIII",
"IIZZZIIZ",
"IZIIZIII",
"IIIZIIZI",
"ZIIIIIZI",
"ZIIZIIII",
"ZIIZIIZI",
"IIZIIZII",
"IZIIIZII",
"ZIIIIZI... | [
0.25,
0.25,
0.25,
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0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
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0.125,
0.5,
0.25,
0.25,
0.25,
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0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0,
0.125,
-0.125,
0.12... | 0.972373 | [
-0.16175234084033957,
-1.87532801107341,
-0.05801357308838576,
0.10605362145925226,
-1.1416650171566816,
0.4399114001229122,
1.0360662674525876,
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0.7718866700779633,
-0.5658460915133537,
0.2880179831430165,
-2.7932233839467817,
-0.24448320489468112,
-0.7290022026259505,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 239 |
9e72b7dd0d69a46b7f007aaed5517323 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 5, "target": 3}]} | {"states": [14, 7], "expectation_value": -6.838019327905491, "params": null, "bitstrings": ["110001", "111000"], "total_optimization_steps": 55, "probabilities": [0.1065316688417241, 0.6056265915786384], "optimization_time": 52.698797941207886} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 * ... | 15 | 6 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(1.5706415412178192) q[0];
ry(0.17738065745091058) q[0];
rz(-1.2289331769937306) q[0];
rz(-2.0064394391485636) q[1];
ry(0.05195164644631841) q[1];
rz(1.6158226668893017) q[1];
rz(-1.4591808629773537) q[2];
ry(0.1438680830206584) q[2];
rz(1.3823592347405116) q[2];
rz(-... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
1.75,
2,
2,
2,
2,
2,
2,
1.75,
-0.5,
-1,
-0.5,
-0.25,
-0.5,
-0.25
] | 0.981301 | [
0.1774500647835066,
0.3748855468174612,
0.04098849267156553,
-0.24415803312160173,
-0.24801868974247307,
-0.151177436467156,
1.6175791763168208,
-0.03242731533050097,
1.9188194167141894,
0.05578166470394768,
1.8647875584561593,
-0.06973403478083848,
-0.0000745897025684443,
-0.0331747529448... | {
"n_parameters": 24,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 16 |
8812787084059394738 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[9, 3], [8, 6], [10, 12], [0, 1, 4, 5, 7, 8, 11], [2, 7]]} | {"states": [7106, 7138], "expectation_value": -1.5490461104128987, "params": [[[1.5683, 1.1766], [1.9959, 0.1275], [0.3411, 0.4072], [-1.5841, 1.5675000000000001], [1.9997, 1.5679], [-0.0027, 1.0415], [0.0024000000000000002, -0.0115], [-1.5672000000000001, 1.5703], [-0.0027, 1.5659], [-0.0058000000000000005, 0.1106], [... | 0.5 * (Z(12) @ Z(6)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(2) @ Z(4)) + 0.023809523809523808 * (Z(0) @ Z(11)) + 0.023809523809523808 * (Z(1) @ Z(11)) + 0.023809523809523808 * (Z(1) @ Z(0)) + 0.023809523809523808 * (Z(7) @ Z(11)) + 0.023809523809523808 * (Z(7) @ Z(0)) + 0.023809523809523808 * (Z(7) @ Z(1)) + 0.0238095238095... | 15 | 13 | 1 | {"smallest_eigenvalues": [-2.190476190476191, -2.190476190476191, -2.190476190476191, -2.190476190476191, -2.190476190476191, -2.190476190476191, -2.190476190476191, -2.190476190476191, -2.190476190476191, -2.190476190476191, -2.190476190476191, -2.190476190476191, -2.190476190476191, -2.190476190476191, -2.19047619047... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.5292418831728467) q[0];
ry(1.6124818816834219) q[1];
ry(1.0901552218439985) q[2];
ry(-1.5542754393396956) q[3];
ry(2.9958969022824626) q[4];
ry(-0.010233017768158539) q[5];
ry(-0.03833538156594236) q[6];
ry(-1.5370465837335656) q[7];
ry(-0.010233017768158539) q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZIIIIII",
"IZIZIIIIIIIII",
"IIIIIIIIZIZII",
"IZIIIIIIIIIIZ",
"IZIIIIIIIIIZI",
"IIIIIIIIIIIZZ",
"IZIIIZIIIIIII",
"IIIIIZIIIIIIZ",
"IIIIIZIIIIIZI",
"IZIIZIIIIIIII",
"IIIIZIIIIIIIZ",
"IIIIZIIIIIIZI",
"IIIIZZIIIIIII",
"IZZIIIIIIIIII",
"IIZIIIIIIIIIZ",
"IIZIIIIIIIIZI",
"IIZIIZIIIII... | [
0.5,
0.5,
0.5,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.02380... | 0.971505 | [
1.5292418831728467,
1.6124818816834219,
1.0901552218439985,
-1.5542754393396956,
2.9958969022824626,
-0.010233017768158539,
-0.03833538156594236,
-1.5370465837335656,
0.14825799571216083,
0.0662965831376739,
-0.4534647711843186,
1.5945763530238104,
1.2593010881370554,
-1.5686891289414904,
... | {
"n_parameters": 25,
"n_qubits": 13,
"optimal_eigenvalue": -2.190476190476191,
"target_ratio": 0.97,
"target_value": -2.1247619047619053
} | 107 |
5191363103344540931 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2], [8, 4, 5], [2, 4], [0, 3], [3, 4], [2, 5, 7], [1, 6], [0, 4, 5], [0, 8], [0, 2, 7], [3, 7], [8, 1, 3], [0, 6]]} | {"states": [109, 410], "expectation_value": -1.6833911600960232, "params": [[0.37620000000000003], [-0.3579]], "bitstrings": ["110010010", "001100101"], "total_optimization_steps": 40, "probabilities": [0.016774822057730926, 0.01756610762097391], "optimization_time": 1.8810296058654785} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.166666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.500000000000001, "smallest_bitstrings": ["001100101"], "largest_eigenvalue": 9.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.549556557214572) q[0];
rz(1.6209372960891333) q[0];
rx(1.7449402635100009) q[1];
rz(1.5144851834846582) q[1];
rx(0.12913797730382245) q[2];
rz(2.1368179961586717) q[2];
rx(0.5831749864019199) q[3];
rz(1.7352770197084588) q[3];
rx(1.7534921574130347) q[4];
rz(1.5881... | 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[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"IIIIZIIIZ",
"IIIIZIZII",
"ZIIIZIIII",
"IIIZIIIIZ",
"IIIZIIZII",
"ZIIZIIIII",
"IIIZZIIII",
"IIIIIZIZI",
"IIIIIZIIZ",
"ZIIIIZIII",
"IIIIZZIII",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIZIIIII",
"IZIIIZIII",
"IIZIIIIZI",
"... | [
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.166666666666... | 0.971212 | [
1.5495565572145722,
0.05014096929423614,
1.7449402635100009,
-0.05631114331023805,
0.12913797730382248,
0.5660216693637753,
0.5831749864019199,
0.16448069291356232,
1.7534921574130347,
0.017363031821191165,
1.4411457544732549,
-0.3456905501788906,
0.2031694873375452,
-0.35940771227912893,
... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -4.833333333333335,
"target_ratio": 0.97,
"target_value": -4.688333333333334
} | 69 |
a81a167158580bb999f8e68ace712ae9 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1... | {"states": [64, 63], "expectation_value": -0.15032376854445745, "params": [[0.0655], [-0.055]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.008895012656259848, 0.009015908237016292], "optimization_time": 3.185805320739746} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + 0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * Z(1) + -0.25 * Z(0) + 1.25 * Z(2) + -0.75 * Z(3) + -0.25 * Z(4) + -0.25 * Z(6) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.0774828677495163) q[0];
h q[1];
ry(1.5548136672768265) q[1];
h q[2];
ry(1.5454980980603812) q[2];
h q[3];
ry(0.9204124634004016) q[3];
cx q[1], q[3];
ry(-0.9204124634004016) q[3];
cx q[1], q[3];
ry(-0.2542960137412164) q[3];
h q[4];
ry(0.38183747534908374)... | 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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
c... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"IIZIZII",
"IIZZIII",
"ZIIIIIZ",
"ZIIIZII",
"ZIZIIII",
"IZIIIZI",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
-0.5,
-1,
-0.75,
-0.5,
-0.5,
-0.5,
0.75,
-0.25,
-0.75,
-0.5,
-0.25,
-0.25,
1.25,
-0.75,
-0.25,
-0.25,
0.5
] | 0.970712 | [
1.5454980980603812,
1.5548136672768265,
1.5805648370330432,
0.7636749506981675,
1.8408249268008032,
0.43803001735649794,
-2.1549657354990326,
1.0310008163067323,
-0.7367755493342508,
-0.9093214752915146,
-0.022856653535134153,
0.2404702180227241,
-1.5901752397015083,
-0.031695334543764365,... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 133 |
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