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 106 17.5k | 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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
422319ba04d136ad73513dac1d0065c7 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capaci... | {"states": [1783, 1767], "expectation_value": -12.706578749007617, "params": [0.1005, 0.0036000000000000003, 0.24050000000000002, -0.026600000000000002, 0.6706000000000001, -0.0117, 0.6544, -0.01, 0.6814, -0.0258, 0.6745, 0.0024000000000000002, 0.24450000000000002, 0.08710000000000001, 0.2421, -0.056100000000000004, 0.... | -1.0 * (Z(8) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(8)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(0) @ Z(8)) + -0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * ... | 6 | 12 | 2 | {"smallest_eigenvalues": [-12.875, -12.875, -12.875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -12.625, "smallest_bitstrings": ["100110001010", "100100011000", "100100000010"], "largest_eigenvalue": 29.625} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.1005) q[0];
rz(0.0036) q[0];
rx(0.6706) q[1];
rz(-0.0117) q[1];
rx(0.6814) q[2];
rz(-0.0258) q[2];
rx(0.2445) q[3];
rz(0.0871) q[3];
rx(0.5794) q[4];
rz(0.1243) q[4];
rx(0.684) q[5];
rz(-0.0343) q[5];
rx(0.6791) q[6];
rz(-0.0143) q[6];
rx(0.28) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIIIZIIII",
"IIIIIIZZIIII",
"IIIZIIZIIIII",
"IIIIIZIZIIII",
"IIIZIZIIIIII",
"IIIIIZZIIIII",
"IIIIZIIZIIII",
"IIIZZIIIIIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIIIIIZIIIZ",
"IIIZIIIIIIIZ",
"IIZIIIIZIIII",
"IIZZIIIIIIII",
"IIZIIIZIIIII",
"IIZIIZIIIIII",
"IIZIIIIIIIIZ",
"IZIIIIIZI... | [
-1,
0.5,
-0.5,
0.5,
-0.5,
1,
0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.375,
1,
-1,
4,
4,
1.5,
-0.625,
3,
0.5,
2.25,
2.25,
0.5,
-0.125
] |
bbe36c72142a04c8b1698fed3f77c25c | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 16, "source": 0, "target": 2}, {"weight": 12, "source": 0, "target": 4}, {"weight": 18, "source... | {"states": [117, 61], "expectation_value": -28.34264890721616, "params": [[0.027200000000000002, 0.007500000000000001, -0.0037, -0.0089], [-0.0704, -0.0714, -0.0497, -0.0328]], "bitstrings": ["0001010", "1000010"], "total_optimization_steps": 10, "probabilities": [0.02795070417173221, 0.029222212776073744], "optimizati... | 3.0 * (Z(0) @ Z(1)) + 3.0 * (Z(2) @ Z(1)) + 3.0 * (Z(2) @ Z(0)) + 3.0 * (Z(3) @ Z(1)) + 3.0 * (Z(3) @ Z(0)) + 3.0 * (Z(3) @ Z(2)) + 3.0 * (Z(4) @ Z(0)) + 3.0 * (Z(4) @ Z(2)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.0, "smallest_bitstrings": ["1000010"], "largest_eigenvalue": 140.0} | OPENQASM 3.0;
include "stdgates.inc";
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(0.1632) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1632) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1632) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.1632) q[3];
cx q[1], q[3];
cx q[0], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 5}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIIZ",
"IIZIZII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
14,
11,
21,
12,
15,
6.5,
15.5
] |
-4103153990130087005 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[8, 11], [8, 7], [11, 7], [1, 6], [8, 13], [8, 1], [9, 12], [0, 12], [0, 7], [9, 10], [0, 10], [10, 13], [8, 12], [0, 9], [5, 6], [3, 11], [0, 1], [12, 13], [2, 7], [8, 2], [8, 10], [10, 7], [2, 5], [8, 5], [9, 6], [5, 7], [9, 4]]} | {"states": [6494, 6430], "expectation_value": -3.74537848119034, "params": [0.3286, 0.38380000000000003, 0.325, 0.0097, 1.1013, -0.0218, 1.0994000000000002, -0.0046, 0.9695, 0.028900000000000002, 0.9702000000000001, 0.0047, 0.29910000000000003, -0.3922, 0.2892, -0.38880000000000003, 0.2849, 0.40850000000000003, 0.2771,... | 0.5 * (Z(8) @ Z(11)) + 0.5 * (Z(7) @ Z(11)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(13) @ Z(8)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(12) @ Z(8)) + 0.5 * (Z(12) @ Z(13)) + 0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(0) @ Z(12)) + 0.5 ... | 8 | 14 | 1 | {"smallest_eigenvalues": [-7.499999999999987], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.49999999999997, "smallest_bitstrings": ["10011011100001"], "largest_eigenvalue": 13.500000000000023} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
rx(0.3286) q[0];
rz(0.3838) q[0];
rx(1.1013) q[1];
rz(-0.0218) q[1];
rx(0.9695) q[2];
rz(0.0289) q[2];
rx(0.2991) q[3];
rz(-0.3922) q[3];
rx(0.2849) q[4];
rz(0.4085) q[4];
rx(1.0988) q[5];
rz(-0.0143) q[5];
rx(0.2758) q[6];
rz(-0.4043) q[6];
rx(0.7625) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIIZIIIIIIII",
"IIZIIIZIIIIIII",
"IIIIIZZIIIIIII",
"IIIIIZIIIIIIZI",
"IIIIIIIZIIIIZI",
"ZIIIIZIIIIIIII",
"IIIIZIIZIIIIII",
"IZIIIZIIIIIIII",
"ZZIIIIIIIIIIII",
"IZIIZIIIIIIIII",
"IIIIIIZIIIIIIZ",
"IIIIIIIIIIIIZZ",
"IIIIZIIIIIIIIZ",
"IZIIIIIIIIIIIZ",
"IIIZIZIIIIIIII",
"IIIZIIZIIIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] |
b993a5a7e57c18bd4205eb03339dcbdb | max_flow | 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": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [359, 355], "expectation_value": -8.954139612215627, "params": [0.0018000000000000002, 0.5899, 0.0058000000000000005, 0.5168, 0.0016, 0.5992000000000001, 0.7918000000000001, 0.007, -0.0048000000000000004, 0.5446, 0.7698, 0.0409, 0.7084, 0.0886, 0.533, 0.46640000000000004, 0.09090000000000001, 0.4272, 0.3582,... | 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(4)) + 0.5 * (Z(11) @ Z(9)) + 0... | 16 | 12 | 4 | {"smallest_eigenvalues": [-9.999999999999998, -9.999999999999998], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.666666666666666, "smallest_bitstrings": ["111010011100", "111000011000"], "largest_eigenvalue": 29.666666666666664} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.0018) q[0];
rz(0.5899) q[0];
rx(0.0058) q[1];
rz(0.5168) q[1];
rx(0.0016) q[2];
rz(0.5992) q[2];
rx(0.7918) q[3];
rz(0.007) q[3];
rx(-0.0048) q[4];
rz(0.5446) q[4];
rx(0.7698) q[5];
rz(0.0409) q[5];
rx(0.7084) q[6];
rz(0.0886) q[6];
rx(0.533) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIIZIIIII",
"IIZIIZIIIIII",
"IIIIIZZIIIII",
"IIZIIIIIZIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIZIIIIZIIII",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIIIZZIII",
"IZZIIIIIIIII",
"IZIIIIIIZIII",
"IZIIIIIZIIII",
"ZIZIIIIIIIII",
"ZIIIIIIIZIII",
"ZIIIIIIZIIII",
"ZZIIIIIIIIII",
"IIIIIIZII... | [
0.5,
0.5,
1,
-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,
1,
-0.5,
-0.5,
-0.5,
-0.5,
0.33333333333333337,
0.5,
0.5,
-0.5,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
1.5,
1.5,
1.5,
1,
-1.5,
2.5,
2.5,
-1.333333333333333,
-1.... |
41c6fd253707f3493d5d4e5aa1da9109 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, ... | {"states": [129, 1], "expectation_value": -10.395514872067421, "params": null, "bitstrings": ["01111110", "11111110"], "total_optimization_steps": 23, "probabilities": [0.39265181739029803, 0.6073463626735197], "optimization_time": 27.052518844604492} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(7) @ Z(1)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(1.5708) q[7];
ry(-1.5577) q[0];
ry(-1.5709) q[2];
ry(-1.5708) q[5];
ry(-1.5708) q[3];
ry(-1.5706) q[6];
ry(-1.5681) q[1];
ry(-1.5681) q[4];
cry(1.3413) q[7], q[0];
cry(-0.0027) q[7], q[1];
cry(... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIZIIIII",
"IIIIZIZI",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
-0.5,
-1,
-1,
-0.5,
-0.5,
-1,
-1,
-0.5,
-0.25,
-1,
-0.25,
-0.75,
3.25,
-0.25,
-0.25,
-1,
1.25,
-0.25,
-2,
1,
-0.5,
-1,
2.25,
-0.75
] |
88db82b281e553a316057249c291c2f0 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [18, 26], "expectation_value": -3.7202532509248267, "params": [0.234, -0.0698, 0.23850000000000002, -0.0466, -0.0125, 0.1607, -0.0103, 0.1557, 0.2926, -0.0976, 0.2962, -0.031200000000000002, 0.27390000000000003, -0.1004, 0.2755, -0.0944, -0.005, 0.1646, -0.001, 0.16010000000000002, 0.3025, -0.1008, 0.3073, -... | 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(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.5 * Z(4) + -1.0 * Z(6) + -1.5 * Z(1) + -1.0 * Z... | 5 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100101", "0101101"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.234) q[0];
rz(-0.0698) q[0];
rx(-0.0125) q[1];
rz(0.1607) q[1];
rx(0.2926) q[2];
rz(-0.0976) q[2];
rx(0.2739) q[3];
rz(-0.1004) q[3];
rx(-0.005) q[4];
rz(0.1646) q[4];
rx(0.3025) q[5];
rz(-0.1008) q[5];
rx(0.04) q[6];
rz(0.1453) q[6];
crz(-0.1069) q[6], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZIIIZ",
"ZIIZIII",
"ZIIIIIZ",
"IIIZIZI",
"IIZIIZI",
"IIZIZII",
"ZIIIZII",
"IIIIZZI",
"IZZIIII",
"IZIIIZI",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII"
] | [
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,
-1.5,
-1,
-0.5
] |
839e49943c280a605024f1eaa388ffdd | 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": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capaci... | {"states": [3, 1], "expectation_value": -0.8257036375694335, "params": [[-0.0784, -0.0809], [0.0751, 0.0753]], "bitstrings": ["111100", "111110"], "total_optimization_steps": 10, "probabilities": [0.0272276880245116, 0.030673318392014266], "optimization_time": 2.6498873233795166} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + 1.5 * (Z(5) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.5 * Z(5) + -1.0 * Z(3) + 0.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
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(0.1176) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0392) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0784) q[2];
cx q[0], q[2];
cx q[0], q[5];
rz(-0.2352) q[5];
cx q[0], q[5];
cx q[1], q[3];
rz(0.156... | OPENQASM 3.0;
include "stdgates.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... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"ZIIIIZ",
"IIZIZI",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
-0.75,
-0.25,
-0.5,
1.5,
-1,
-0.5,
0.5,
-0.25,
-0.75,
1.5,
-1,
0
] |
e314f97a67cf53680761d0291b0562fe | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 6}, {"weight": 2, "source": 2, "targ... | {"states": [238, 214], "expectation_value": -16.619748057036986, "params": [[-0.0221, -0.0212], [0.044500000000000005, 0.06380000000000001]], "bitstrings": ["100010001", "100101001"], "total_optimization_steps": 10, "probabilities": [0.005012425007947328, 0.006180056099998785], "optimization_time": 3.622138261795044} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-92.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 169.0} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.1989) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.1989) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1989) q[3];
cx q[1], q[3];
cx q[1], q[4];
rz(-0.1989) q[4];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"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,
14.5,
0.5,
17.5,
1,
15,
9.5,
21.5,
17,
5
] |
941e0f788960880dfe35c85f6b384f54 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [238, 878], "expectation_value": -2.2027579430895594, "params": [[[0.0228, -0.4169, 0.0061, 0.0032], [0.6027, -0.012100000000000001, 0.3793, 0.0522], [0.017400000000000002, 0.2333, 0.052700000000000004, -0.1729], [-0.0071, -0.0373, 0.8997, -0.0092], [0.0985, -0.7054, 0.0847, 0.0584], [-0.1221, 0.246300000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(2) @ Z(6)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(4) @ Z(7)) + 0.0625 * (Z(5) @ Z(6)) + 0.0625 * (Z(5) @ Z(7)) + 0.0625 * (Z(6) @ Z(7)) + -0.0625 * (Z(4) @ Z(5) @ Z... | 11 | 11 | 2 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -2.625, "smallest_bitstrings": ["11010001000", "01100100001", "11100000001", "01100001100", "01100000101", "10010011000... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0228) q[0];
rz(-0.4169) q[0];
ry(0.6027) q[1];
rz(-0.0121) q[1];
ry(0.0174) q[2];
rz(0.2333) q[2];
ry(-0.0071) q[3];
rz(-0.0373) q[3];
ry(0.0985) q[4];
rz(-0.7054) q[4];
ry(-0.1221) q[5];
rz(0.2463) q[5];
ry(0.898) q[6];
rz(-0.5366) q[6];
ry(0.5802) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIZIIZII",
"IIIIZIIIZII",
"IIIZIIIIZII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIZIIZIIII",
"IIIIZZIIIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IIIIIZZIZII",
"IIIIZIZIZII",
"IIIZIIZIZII",
"IIIIZZIIZII",
"IIIZIZIIZII",
"IIIZZIIIZII",
"IIIIZZZII... | [
0.5,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0... |
1108229130261521761 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 4], [1, 5], [1, 4], [0, 2], [1, 3], [2, 5], [2, 4], [0, 6], [3, 6], [0, 3]]} | {"states": [15, 112], "expectation_value": -0.05942656981136975, "params": [[0.0601], [-0.05]], "bitstrings": ["1110000", "0001111"], "total_optimization_steps": 10, "probabilities": [0.008382150869896993, 0.008382150869896993], "optimization_time": 1.6119372844696045} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["1110001", "1110000", "0001111", "0001110", "1001110", "0110001"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
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[4], q[0];
rz(0.0601) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(0.0601) q[1];
cx q[4], q[1];
cx q[1], q[5];
rz(0.0601) q[5];
cx q[1], q[5];
cx q[4], q[2];
rz(0.0601) q[2];
cx q[4], q[2];
cx q[0], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[1], q[5];
rz(x0) q[5];
cx q[1], q[5];
cx q[4], q[2];
... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IIZIIZI",
"IZIIIZI",
"IIZIZII",
"IIIIZIZ",
"IZIIZII",
"IIIZIIZ",
"IIIZIZI",
"ZIIIIIZ",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IZIIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII"
] | [
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
] |
-6086076243898743339 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 3, 5], [3, 4], [0, 1, 2, 3], [1, 2, 5], [0, 4, 5]]} | {"states": [43, 45], "expectation_value": -1.619977207536993, "params": null, "bitstrings": ["010100", "010010"], "total_optimization_steps": 29, "probabilities": [0.05946401197033017, 0.8961337815381573], "optimization_time": 26.95814061164856} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.25 * (Z(2) @ Z(1)) + 0... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.6666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5833333333333326, "smallest_bitstrings": ["010010"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.4074) q[5];
cry(-1.0311) q[3], q[4];
ry(0.9722) q[3];
ry(-0.662) q[4];
cry(0.4322) q[5], q[3];
ry(0.7391) q[0];
cry(-0.3141) q[5], q[4];
cry(-0.7638) q[2], q[1];
cry(0.5619) q[5], q[0];
cry(-0.344) q[3], q[1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.4074) 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",
"IIZIZI",
"IIZIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"IZIIIZ",
"IZZIII",
"ZZIIII",
"IIIZZI",
"IIIZIZ",
"IIZZII",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IZIIII",
"IIIZII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.25,
0.25,
0.08333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.25,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.41666666666666663,
0.41666666666666663,
0.25,
0.45833333333333337,
0... |
43f6f12625919298bc93daa468843deb | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "... | {"states": [3711, 4095], "expectation_value": -15.712681477317261, "params": null, "bitstrings": ["000110000000", "000000000000"], "total_optimization_steps": 100, "probabilities": [0.0881579064491895, 0.3461984303048066], "optimization_time": 212.01233053207397} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + -2.0 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(8)) + -1.5 * (Z(11) @ Z(10)) + 0.5 * Z(1) + 0.5 *... | 1 | 12 | 1 | {"smallest_eigenvalues": [-20.0, -20.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -19.0, "smallest_bitstrings": ["000110000000", "000000000000"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cry(1.5706) q[11], q[9];
cry(1.5708) q[9], q[10];
cry(1.2306) q[10], q[11];
cry(0.4422) q[10], q[9];
cry(1.5706) q[3], q[4];
cry(1.5705) q[9], q[8];
cry(1.5681)... | null | {"node": 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];\ncry(1.5706) q[11], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measur... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZZIII",
"IIIIIZZIIIII",
"IIIIZZIIIIII",
"IIIIZIZIIIII",
"IIZZIIIIIIII",
"IZZIIIIIIIII",
"IZIZIIIIIIII",
"ZIZIIIIIIIII",
"ZIIZIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIZIIII",
"IIIIIIIIZ... | [
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
-2,
-2,
0.5,
-2,
0.5,
-1.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] |
a9d659a07c5ecced76200691156cd5b6 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.024028380420964817, "params": [[-0.0805], [0.0758]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.680679817525635e-05, 1.6806798175256363e-05], "optimization_time": 11.276136636734009} | 0.25 * (Z(0) @ Z(1)) + -0.0005000000000000001 * (Z(2) @ Z(0)) + -0.0005000000000000001 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0008749999999999999 * (Z(4) @ Z(0)) + -0.00075 * (Z(4) @ Z(2)) + -0.0008749999999999999 * (Z(5) @ Z(1)) + -0.00075 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0008749999999999999 * (Z(6) @ ... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0231249999999403], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0231249999999372, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.015374999999974} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(-0.0403) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0001) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0001) q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0005000000000000001,
-0.0005000000000000001,
0.25,
-0.0008749999999999999,
-0.00075,
-0.0008749999999999999,
-0.00075,
0.25,
-0.0008749999999999999,
-0.00075,
0.00025000000000000006,
-0.0008749999999999999,
-0.00075,
0.00025000000000000006,
0.25,
0.000375,
-0.00075,
0.00... |
90ed954541db23a75eecb07977c28089 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": ... | {"states": [3541, 3543], "expectation_value": -3.1727129936432927, "params": [[[0.2015, 0.0032], [1.3745, 0.00030000000000000003], [0.0477, 0.0048000000000000004], [0.4577, 0.0008], [0.7132000000000001, 0.0077], [0.7488, 0.0273], [0.4631, 0.0483], [0.5101, 0.10490000000000001], [0.3708, 0.26030000000000003], [0.1168, 0... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 15 | 12 | 3 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.8125, "smallest_bitstrings": ["010001000001", "000100110000", "100000001001", "100000000110", "001001000100", "001000101000", "000011010000", "010000100010"]... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.2015) q[0];
ry(1.3745) q[1];
ry(0.0477) q[2];
ry(0.4577) q[3];
ry(0.7132) q[4];
ry(0.7488) q[5];
ry(0.4631) q[6];
ry(0.5101) q[7];
ry(0.3708) q[8];
ry(0.1168) q[9];
ry(0.8555) q[10];
ry(0.1176) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIZIIZI",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIZIIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIZIZIZ",
"IIIIIIIZZIIZ",
"IIIIIIIIZZZI",
"IIIIIIIZI... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.1... |
fa12f3a697c97a90a7d75ad197dde7b9 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 5}]} | {"states": [8, 42], "expectation_value": -3.7499716793445517, "params": null, "bitstrings": ["110111", "010101"], "total_optimization_steps": 22, "probabilities": [1.3890484210127375e-05, 0.999985814104641], "optimization_time": 19.698829174041748} | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(2) @ Z(4)) + 0.0 * Z(0) + 0.0 * Z... | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["010101"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5486) q[1];
ry(-1.5486) q[3];
ry(-1.5486) q[5];
ry(1.4448) q[4];
ry(1.4447) q[2];
ry(1.4447) q[0];
cry(0.1189) q[4], q[0];
cry(0.119) q[0], q[2];
cry(0.1187) q[2], q[4];
cry(-0.0222) q[4], q[3];
cry(-0.0222... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIIIZZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"IZZIIZ",
"IZIZII",
"ZIIZII",
"ZZIIII",
"ZZIZII",
"IIIIIZ",
"IIIZII",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
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,
0,
-0.75,
-0.75,
0,
-0.75
] |
be3312c5c1bc33b10be9c834d0af7350 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"source": 8, "target":... | {"states": [511, 495], "expectation_value": -0.24380117810172405, "params": [[-0.0767], [0.079]], "bitstrings": ["000000000", "000010000"], "total_optimization_steps": 10, "probabilities": [0.0025421893314015133, 0.002604276215965147], "optimization_time": 1.0730762481689453} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(4) | 5 | 9 | 1 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["000010000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
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(0.1534) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(0.1534) q[2];
cx q[3], q[2];
cx q[6], q[5];
rz(0.1534) q[5];
cx q[6], q[5];
cx q[8], q[7];
rz(0.1534) q[7];
cx q[8], q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[6], q[5];
rz(x0) ... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIZZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIZIIIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIZIIII"
] | [
-1,
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] |
4abb98976c4c92afe6a55c768cbc5f3f | 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": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 6}, {"source": ... | {"states": [995, 1015], "expectation_value": -0.6622808413767949, "params": [[-0.06420000000000001], [0.063]], "bitstrings": ["0000011100", "0000001000"], "total_optimization_steps": 10, "probabilities": [0.0013958931482862399, 0.0014168589099797211], "optimization_time": 1.7266201972961426} | -1.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(4) @ Z(1)) + -1.5 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + -1.5 * (Z(2) @ Z(8)) + 0.5 * Z(3) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(4) + 1.0 * Z(7) + -1.5 * Z(5) + -1.0 * Z(6) + ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-14.5, -14.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.5, "smallest_bitstrings": ["0000001000", "0000011100"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
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[3], q[0];
rz(0.1926) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.0642) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(0.2568) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.0642) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[1];
... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIIIZIIZI",
"IIZIZIIIII",
"IIIZZIIIII",
"ZZIIIIIIII",
"ZIIIIIIZII",
"IZIIIIIZII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIZIIIIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIIIIIIZII"... | [
-1.5,
0.5,
-2,
0.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
-1,
0.5,
0.5,
0.5
] |
1408234504470828730 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 5], [2, 3], [8, 3], [2, 5], [0, 7], [1, 3], [0, 5], [8, 1], [0, 3], [0, 6], [1, 2], [8, 2], [3, 6], [8, 6], [0, 4], [4, 6], [5, 6]]} | {"states": [484, 452], "expectation_value": -0.47503438945694587, "params": [0.7086, 0.0041, 0.6998000000000001, 0.0038, 0.7015, 0.0045000000000000005, 0.6952, 0.0004, 0.6986, -0.0045000000000000005, 0.6998000000000001, 0.0085, 0.6973, 0.006200000000000001, 0.6977, 0.0055000000000000005, 0.6996, 0.0025, 0.6806, 0.0014,... | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["111000100", "000111011"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.7086) q[0];
rz(0.0041) q[0];
rx(0.7015) q[1];
rz(0.0045) q[1];
rx(0.6986) q[2];
rz(-0.0045) q[2];
rx(0.6973) q[3];
rz(0.0062) q[3];
rx(0.6996) q[4];
rz(0.0025) q[4];
rx(0.7034) q[5];
rz(0.007) q[5];
rx(0.6979) q[6];
rz(-0.0026) q[6];
rx(0.6971) q[7];
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": []} | [
"IIIZIZIII",
"IIIZIIZII",
"IIIIIZZII",
"ZIIIIZIII",
"ZIIIIIZII",
"IIIZIIIIZ",
"IIIIIZIIZ",
"IZIIIIIIZ",
"IIIIIZIZI",
"IIIIIIZZI",
"ZIIIIIIZI",
"IIZZIIIII",
"IIZIIZIII",
"ZIZIIIIII",
"IIZIIIIIZ",
"IIIIZIIIZ",
"IIZIZIIII",
"IIIZIIIII",
"IIIIIZIII",
"IIIIIIZII",
"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,
0,
0,
0,
0,
0,
0,
0,
0,
0
] |
8dda24ffabea97531859d1dc867b09bf | 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": 0, "target": 8}, {"source": 1, "target": 6}, {"sour... | {"states": [304, 432], "expectation_value": -5.040184120083163, "params": [1.5883, 0.0091, 1.5862, 0.0056, -0.0071, 0.004, 1.6097000000000001, 0.004, 1.6116000000000001, 0.0053, 0.0028, 0.0027, 1.5544, 0.0053, 0.0015, 0.0095, 0.18430000000000002, 0.0078000000000000005, 0.0017000000000000001, 0.0037, 0.0041, 0.006900000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["101001110", "001001111", "011001011"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.5883) q[0];
rz(0.0091) q[0];
rx(1.5862) q[1];
rz(0.0056) q[1];
rx(-0.0071) q[2];
rz(0.004) q[2];
rx(1.6097) q[3];
rz(0.004) q[3];
rx(1.6116) q[4];
rz(0.0053) q[4];
rx(0.0028) q[5];
rz(0.0027) q[5];
rx(1.5544) q[6];
rz(0.0053) q[6];
rx(0.0015) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIIIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"ZIIZIIIII",
"ZZIIIIIII",
"IZZIIIIII",
"ZIZIIIIII",
"IIZIIIIZI",
"IIIIIZZII",
"IIIZIZIII",
"IZIIIZIII",
"IIIIZIZII",
"IIIZZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"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,
-1.5,
-1.5,
-1.5,
-2,
-1.5,
-1,
0,
-1,
-0.5
] |
77b6eda854af6f4158ef9bd5d20b63f7 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "... | {"states": [0, 63], "expectation_value": -16.239823916619258, "params": [[0.0776], [-0.17170000000000002]], "bitstrings": ["111111111111", "111111000000"], "total_optimization_steps": 20, "probabilities": [0.004266283959437094, 0.004408890520629877], "optimization_time": 3.9864656925201416} | -3.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(1)) + -3.5 * (Z(2) @ Z(0)) + 1.0 * (Z(4) @ Z(1)) + -3.5 * (Z(4) @ Z(0)) + 1.5 * (Z(4) @ Z(2)) + -3.0 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 1.5 * (Z(5) @ Z(4)) + 1.0 * (Z(3) @ Z(1)) + 1.5 * (Z(3) @ Z(0)) + -3.5 * (Z(3) @ Z(2)) + -3.0 * (Z(3) @ Z(4)) + -3.5... | 1 | 12 | 1 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["111111000000"], "largest_eigenvalue": 55.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(-0.4656) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.4656) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.5432) q[2];
cx q[0], q[2];
cx q[1], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIIIIZIIZII",
"IIIIIIZZIIII",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"IIIIZZIIIIII",
"IIIZZIIIIIII",
"IIIZIZIII... | [
-3,
-3,
-3.5,
1,
-3.5,
1.5,
-3,
-3.5,
2,
1.5,
1,
1.5,
-3.5,
-3,
-3.5,
-3,
-3,
-3,
-3,
-3,
2,
-3,
-3,
-3,
-3,
-3,
-3,
-3,
-3,
2,
-2.5,
-2.5,
-3,
-3,
-3,
2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] |
c502b67eb6d91d909ba398fa39bec60c | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}]} | {"states": [2, 0], "expectation_value": -2.1123752360149437, "params": null, "bitstrings": ["1101", "1111"], "total_optimization_steps": 5, "probabilities": [0.003925267827143744, 0.9874310668157752], "optimization_time": 3.9685070514678955} | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + -0.625 * Z... | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.125, "smallest_bitstrings": ["1111"], "largest_eigenvalue": 3.875} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-1.5158) q[0];
ry(-1.445) q[1];
ry(-1.4449) q[3];
ry(-1.4449) q[2];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3]; | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5158) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IIZZ",
"IZIZ",
"ZIIZ",
"IZZI",
"ZIZI",
"ZZII",
"IZZZ",
"ZIZZ",
"ZZIZ",
"ZZZI",
"ZZZZ",
"IIIZ",
"IIZI",
"IZII",
"ZIII"
] | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.625,
-0.625,
-0.625,
-0.625
] |
c5b30b94cad3afd2b2d3cf8b55cce16a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 1, ... | {"states": [23, 7], "expectation_value": -7.473500861296365, "params": [[-0.0688, -0.060500000000000005, -0.0459, -0.0106], [0.0787, 0.07390000000000001, 0.068, 0.053700000000000005]], "bitstrings": ["11101000", "11111000"], "total_optimization_steps": 10, "probabilities": [0.025108895458019188, 0.026604083087819395], ... | -0.75 * (Z(0) @ Z(1)) + -2.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -1.5 * (Z(4) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.75 * (Z(7) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + -1.25 * (Z(3... | 1 | 8 | 4 | {"smallest_eigenvalues": [-18.25, -18.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["11111000", "11101000"], "largest_eigenvalue": 22.75} | OPENQASM 3.0;
include "stdgates.inc";
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(0.1032) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3784) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0688) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(0.1032) q[4];
cx q[0], q[4];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"ZIIIIIIZ",
"ZIIZIIII",
"ZIZIIIII",
"IZIZIIII",
"ZZIIIIII",
"IZIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIIZIII"
] | [
-0.75,
-2.75,
-0.5,
-0.75,
-1.5,
-1.75,
-0.25,
-0.25,
2.25,
-0.25,
-1.75,
-1.25,
-1.5,
-1.25,
-2.25,
-0.25,
-2,
0,
3,
-1.25,
4,
-1.25
] |
4cd28f9bc761b26f6d6f15aeccbaedea | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 4}, {"weight": 18, "source": 0, "target": 5}, {"weight": 20, "source": 0, "target": 3}, {... | {"states": [63, 121], "expectation_value": -30.30665998169914, "params": null, "bitstrings": ["11000000", "10000110"], "total_optimization_steps": 100, "probabilities": [0.0767581592572071, 0.16623903505297943], "optimization_time": 151.20527529716492} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(5) @ Z(1)) + 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)) + 18.0 * Z(1) + 12.5 * Z(0) + 17.5 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10000110"], "largest_eigenvalue": 145.0} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(0.5995) q[1];
ry(-0.6772) q[2];
ry(-18.6834) q[3];
ry(62.9278) q[7];
ry(23.7596) q[0];
cry(17.8632) q[1], q[3];
ry(63.0091) q[6];
ry(22.5857) q[4];
cry(10.0739) q[1], q[2];
cry(0.9802) q[1], q[... | null | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(0.5995) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIZIIIZI",
"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,
18,
12.5,
17.5,
17,
8.5,
0,
8.5,
11
] |
596dc591e846e98017ad5da8b3c9d903 | 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": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [90, 91], "expectation_value": -1.496735787275495, "params": [0.0641, 0.4459, 0.0745, 0.40180000000000005, 0.6933, 0.30360000000000004, 0.2923, 0.3546, 0.7043, 0.0009000000000000001, 0.6987, -0.0786, 0.28650000000000003, -0.1968, 0.6996, -0.0086, 0.5805, 0.085, 0.061500000000000006, 0.462, 0.0684, 0.41850000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(2) @ Z(5)) + -0.125 * (Z(4) @ Z(2) @ Z(6)) + -0.125 * (Z(2) @ Z(5) @ Z(6)) + -0.125 * (Z(4)... | 18 | 9 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.25, "smallest_bitstrings": ["100100110", "111000001", "010110100", "010110001", "101000011", "101000110", "011010001", "110100100"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0641) q[0];
rz(0.4459) q[0];
rx(0.0745) q[1];
rz(0.4018) q[1];
rx(0.6933) q[2];
rz(0.3036) q[2];
rx(0.2923) q[3];
rz(0.3546) q[3];
rx(0.7043) q[4];
rz(0.0009) q[4];
rx(0.6987) q[5];
rz(-0.0786) q[5];
rx(0.2865) q[6];
rz(-0.1968) q[6];
rx(0.6996) q[7];
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": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIZIIZII",
"IIZIIIZII",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIZZIZII",
"IIZIZIZII",
"IIZZIIZII",
"IIZZZIIII",
"IIZZZIZII",
"IIIZIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"IZIZIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IZIZIZIII",
"... | [
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
-0.5,
-0.5,
-0.125,
-0.125,
-0.125,
0.25,
-0.125,
-0.125,
-... |
3153044032849566377 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 3, 4, 6, 8], [0, 2, 5, 7, 8], [8, 2, 4, 7], [1, 2, 3, 5, 7, 8], [0, 2, 4, 5, 6]]} | {"states": [442, 498], "expectation_value": -0.3226049212342694, "params": [[-0.2872], [0.28190000000000004]], "bitstrings": ["001000101", "000001101"], "total_optimization_steps": 30, "probabilities": [0.002894197927715506, 0.002900626299683963], "optimization_time": 7.584117412567139} | 0.08333333333333334 * (Z(1) @ Z(3)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(6) @ Z(3)) + 0.05 * (Z(6) @ Z(1)) + 0.1 * (Z(6) @ Z(4)) + 0.08333333333333334 * (Z(8) @ Z(3)) + 0.08333333333333334 * (Z(8) @ Z(1)) + 0.13333333333333333 * (Z(8) @ Z(4)) + 0.05 * (Z(8) @ Z(6)) + 0.05 * (Z(0) @ Z(4)) + 0.05 * (... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.0500000000000003, -1.0500000000000003, -1.0500000000000003, -1.0500000000000003, -1.0500000000000003, -1.0500000000000003, -1.0500000000000003], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.05, "smallest_bitstrings": ["101100000", "011000100", "011000000", "001100000", "1... | OPENQASM 3.0;
include "stdgates.inc";
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[3], q[1];
rz(-0.0479) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(-0.0287) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(-0.0287) q[4];
cx q[1], q[4];
cx q[3], q[6];
rz(-0.0287) q[6];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZI",
"IIIIZZIII",
"IIIIZIIZI",
"IIZIIZIII",
"IIZIIIIZI",
"IIZIZIIII",
"ZIIIIZIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIZIIIZ",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIIIIZZII",
"IIIIIIZZI",
"IIIIZIZII",
"IIZIIIZII",
"ZIIIIIZII",
"IIIIIIZIZ",
"IIIZIZIII",
"IIIZIIIZI",
"... | [
0.08333333333333334,
0.05,
0.05,
0.05,
0.05,
0.1,
0.08333333333333334,
0.08333333333333334,
0.13333333333333333,
0.05,
0.05,
0.05,
0.05,
0.03333333333333333,
0.03333333333333333,
0.13333333333333333,
0.05,
0.16666666666666666,
0.1,
0.03333333333333333,
0.03333333333333333,
... |
f490a28ecdd83f85cb7689547a0eb0f1 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [20, 38], "expectation_value": -0.18307613782815774, "params": [[0.0577, 0.0292, 0.0734], [-0.0555, -0.0165, -0.054]], "bitstrings": ["101011", "011001"], "total_optimization_steps": 10, "probabilities": [0.018305594988834797, 0.02077139491657711], "optimization_time": 3.748792886734009} | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.75 * Z(2) + 0.0 * Z(3) + -0.25 * Z(4) + -0.7... | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["011001"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
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(0.0577) q[0];
cx q[1], q[0];
cx q[2], q[3];
rz(0.0289) q[3];
cx q[2], q[3];
cx q[4], q[2];
rz(0.0289) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(0.0289) q[3];
cx q[4], q[3];
cx q[4], q[2];
cx q[2], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZZII",
"IZIZII",
"IZZIII",
"IZZZII",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"ZIZIIZ",
"IZIIZI",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
-0.5,
-0.75,
0,
-0.25,
-0.75
] |
984069cd50d39f7e5d4b40fb03f5527d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [100, 101], "expectation_value": -1.1385194421491944, "params": [0.5651, 0.5547000000000001, 0.7891, 0.7865000000000001, 0.7973, 0.7991, 0.5136000000000001, 0.5424, 0.0015, 0.002, 0.7985, 0.7996000000000001, 0.5181, 0.5445, 0.804, 0.8013, 0.2431, 0.3678, 0.4932, 0.3929, 0.7868, -0.4999, -0.5631, 0.7864, 0.00... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(0)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(6) @ Z(7) @ Z(0)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (... | 14 | 8 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.25, "smallest_bitstrings": ["01101010", "10011100", "01011010", "10011010"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.5651) q[0];
ry(0.7891) q[1];
ry(0.7973) q[2];
ry(0.5136) q[3];
ry(0.0015) q[4];
ry(0.7985) q[5];
ry(0.5181) q[6];
ry(0.804) q[7];
crx(0.2431) q[7], q[0];
crx(0.1308) q[6], q[7];
crx(-0.4574) q[5], q[6];
crx(0.1808) q[4], q[5];
crx(0.0047) q[3], q[4];
crx(... | OPENQASM 3.0;
include "stdgates.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",
"IIIIZZII",
"IIIZIZII",
"IIZIIZII",
"IIZZIIII",
"IIZZIZII",
"IZZIIIII",
"IZIIIIIZ",
"ZIIIIIIZ",
"ZZIIIIII",
"ZZIIIIIZ",
"IIIIZIZI",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIIZIZI",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
0
] |
4139800944653054296 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 3, 5, 6], [0, 1, 2, 3, 4, 6, 7, 8, 9], [0, 1, 2, 3, 7, 8, 10, 11], [0, 2, 3, 6, 7, 8, 11], [8, 3, 11, 9], [0, 2, 3, 5, 9, 10], [2, 3, 4, 9, 10, 11], [4, 5, 6, 7, 8, 9, 11], [0, 5, 6, 7, 9, 11], [0, 1, 2, 3, 4, 5, 8, 10, 11], [0, 1, 7, 9, 10], [1, 2, 4... | {"states": [3579, 3563], "expectation_value": -4.113173498834035, "params": [1.6663000000000001, 1.48, 1.6816, 1.4635, 0.0031000000000000003, 0.0031000000000000003, 1.6920000000000002, 1.4451, 1.5692000000000002, 1.5772000000000002, 1.5518, 1.5836000000000001, 1.5652000000000001, 1.5719, 0.7428, 0.7471, 1.5754000000000... | 0.3111111111111111 * (Z(2) @ Z(3)) + 0.13055555555555556 * (Z(5) @ Z(3)) + 0.23174603174603176 * (Z(5) @ Z(2)) + 0.2126984126984127 * (Z(6) @ Z(3)) + 0.3277777777777778 * (Z(6) @ Z(2)) + 0.29880952380952375 * (Z(6) @ Z(5)) + 0.14444444444444443 * (Z(0) @ Z(3)) + 0.16230158730158728 * (Z(0) @ Z(2)) + 0.15555555555555553... | 13 | 12 | 1 | {"smallest_eigenvalues": [-4.287301587301588], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.271825396825396, "smallest_bitstrings": ["001000010100"], "largest_eigenvalue": 23.000000000000007} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.6663) q[0];
ry(1.6816) q[1];
ry(0.0031) q[2];
ry(1.692) q[3];
ry(1.5692) q[4];
ry(1.5518) q[5];
ry(1.5652) q[6];
ry(0.7428) q[7];
ry(1.5754) q[8];
ry(-0.0035) q[9];
ry(1.5827) q[10];
ry(0.9398) q[11];
crz(-0.1608) q[11], q[0];
crz(-0.0036) q[10], q[11];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZII",
"IIIIIIZIZIII",
"IIIIIIZIIZII",
"IIIIIZIIZIII",
"IIIIIZIIIZII",
"IIIIIZZIIIII",
"IIIIIIIIZIIZ",
"IIIIIIIIIZIZ",
"IIIIIIZIIIIZ",
"IIIIIZIIIIIZ",
"IIIIIIIIZIZI",
"IIIIIIIIIZZI",
"IIIIIIZIIIZI",
"IIIIIZIIIIZI",
"IIIIIIIIIIZZ",
"IIIIIIIZZIII",
"IIIIIIIZIZII",
"IIIIIIZZI... | [
0.3111111111111111,
0.13055555555555556,
0.23174603174603176,
0.2126984126984127,
0.3277777777777778,
0.29880952380952375,
0.14444444444444443,
0.16230158730158728,
0.15555555555555553,
0.1817460317460317,
0.12063492063492062,
0.1369047619047619,
0.0496031746031746,
0.10515873015873015,
... |
20a60ed013bc1976376f734be7d8d92c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [3, 12], "expectation_value": -0.0012227306709453462, "params": [[-0.0162], [0.0063]], "bitstrings": ["1100", "0011"], "total_optimization_steps": 10, "probabilities": [0.06260192441203646, 0.06260192441203649], "optimization_time": 1.0407917499542236} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1100", "0011"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[0];
rz(-0.0162) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0162) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(-0.0162) q[1];
cx q[2], q[1];
cx q[3], q[1];
rz(-0.0162) q[1];
cx q[3], q[1];
rz(0.0162) q[2];
rz(0.0162) q[0];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[... | null | {"circuits": [], "gradients": []} | [
"IZIZ",
"ZIIZ",
"IZZI",
"ZIZI",
"IZII",
"IIIZ",
"ZIII",
"IIZI"
] | [
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5
] |
ed01866ce53def5a36a69737a2fd120b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [64, 67], "expectation_value": -3.3565073952214783, "params": [-0.0015, 0.3388, 0.5938, 0.0032, 0.0066, 0.3907, 0.0076, -0.2326, 0.004200000000000001, 0.42200000000000004, 0.0035, 0.4506, 0.3503, 0.002, 0.6064, 0.0022, -0.001, 0.3688, 0.5876, 0.0032, -0.0024000000000000002, 0.4395, 0.0016, 0.3133, 0.0004, 0.... | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.25 ... | 4 | 8 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["10000100", "10001100", "10011100", "10111100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0015) q[0];
rz(0.3388) q[0];
rx(0.5938) q[1];
rz(0.0032) q[1];
rx(0.0066) q[2];
rz(0.3907) q[2];
rx(0.0076) q[3];
rz(-0.2326) q[3];
rx(0.0042) q[4];
rz(0.422) q[4];
rx(0.0035) q[5];
rz(0.4506) q[5];
rx(0.3503) q[6];
rz(0.002) q[6];
rx(0.6064) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IZIIIZII",
"ZZIIIIII",
"IIIIZZII",
"IIIZZIII",
"IIZIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IZIIIIII",
"IIIIZIII"
] | [
-0.25,
-0.25,
-0.5,
-0.25,
1.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
0,
-0.25,
0,
-1,
0.25,
0.25,
0.25,
0.5
] |
-5630324896410027397 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 4], [2, 4, 5], [3, 4], [1, 2, 4]]} | {"states": [10, 42], "expectation_value": -0.5302445928582897, "params": [[[0.9945, 0.0059, 0.0006000000000000001, 0.0027], [0.9995, 0.0035, 0.9947, 0.0039000000000000003], [1.0054, 0.0032, 1.0008000000000001, 0.0037], [1.0096, -0.001, 1.0117, 0.0047], [1.006, -0.0017000000000000001, 1.0048000000000001, 0.0072000000000... | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.3333333333333333 * Z(1) + 0.1666... | 11 | 6 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.166666666666667, "smallest_bitstrings": ["101100", "010101", "000010"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(0.9945) q[0];
rz(0.0059) q[0];
ry(0.9995) q[1];
rz(0.0035) q[1];
ry(1.0054) q[2];
rz(0.0032) q[2];
ry(1.0096) q[3];
rz(-0.001) q[3];
ry(1.006) q[4];
rz(-0.0017) q[4];
ry(0.9986) q[5];
rz(0.0054) q[5];
cx q[1], q[0];
cx q[3], q[2];
cx q[5], q[4];
ry(0.9947) ... | OPENQASM 3.0;
include "stdgates.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",
"IZIIZI",
"IZIIIZ",
"IIIZZI",
"IZIZII",
"ZZIIII",
"ZIIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"ZIIIII",
"IIZIII"
] | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.5000000000000001,
0.3333333333333333,
0.16666666666666666,
0
] |
7d6ca7bcb082771e20acb1517cc99090 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 6, "source": 2, "target": 3}, {"weight": 14, "source": 2, "target": 4}, {"weight": 17, "source": 2, "targ... | {"states": [190, 118], "expectation_value": -31.63751123344256, "params": [[-0.0363, -0.0024000000000000002, 0.0089], [0.0732, 0.0708, 0.057600000000000005]], "bitstrings": ["101000001", "110001001"], "total_optimization_steps": 10, "probabilities": [0.009642390506796777, 0.011764912647279583], "optimization_time": 6.8... | 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-85.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["110001001"], "largest_eigenvalue": 183.0} | OPENQASM 3.0;
include "stdgates.inc";
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[2], q[1];
rz(-0.3267) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.3267) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.3267) q[3];
cx q[1], q[3];
cx q[1], q[4];
rz(-0.3267) q[4];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IIZIIIZII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
20.5,
7.5,
13,
14.5,
14,
16,
19,
5,
-6
] |
e34a088872c22dc0a1d785c396518655 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": ... | {"states": [999, 1023], "expectation_value": -15.938786140786693, "params": null, "bitstrings": ["0000011000", "0000000000"], "total_optimization_steps": 100, "probabilities": [0.13419433423163563, 0.41549680964645014], "optimization_time": 234.938649892807} | -2.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(0) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
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];
cry(1.5708) q[0], q[4];
cry(1.5708) q[4], q[2];
cry(0.7959) q[2], q[0];
cry(1.5709) q[2], q[1];
cry(-0.7959) q[2], q[4];
cry(-0.0448) q[1], q[4];
ry(-0.1289) q[4];
cry(1.2567) q[... | null | {"node": 10} | {"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[0], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... | [
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIIIZIZII",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIZZIIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIIIIIZI",
"IIIZIIIIII",
"IIIIZIIIII"... | [
-2.5,
0.5,
-2,
-2,
-2.5,
0.5,
-2,
1,
-2,
-1,
-1.5,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
-1.5
] |
9c3f86affe867d86b1a933450f0ead98 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [0, 1], "expectation_value": -37.85843451148094, "params": [[[0.0031000000000000003, 0.0041], [-0.0034000000000000002, 0.0077], [-0.0017000000000000001, 0.0057], [-0.003, 0.006200000000000001], [0.0028, 0.006200000000000001], [1.6142, 0.0068000000000000005]]], "bitstrings": ["111111", "111110"], "total_optim... | 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)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 1 | 6 | 1 | {"smallest_eigenvalues": [-40.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.25, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 119.75} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0031) q[0];
rz(0.0041) q[0];
rx(-0.0034) q[1];
rz(0.0077) q[1];
rx(-0.0017) q[2];
rz(0.0057) q[2];
rx(-0.003) q[3];
rz(0.0062) q[3];
rx(0.0028) q[4];
rz(0.0062) q[4];
rx(1.6142) q[5];
rz(0.0068) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measu... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
3,
-13,
-13,
-13.25,
-13,
-13,
-12.25
] |
7451171034831808797 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 2, 3, 5, 6, 8, 9], [0, 8], [9, 11, 5, 7], [1, 2, 4, 5, 6, 7, 10]]} | {"states": [1593, 1657], "expectation_value": -1.0358019806460923, "params": [-0.002, 0.0043, 3.1397, 0.0046, 3.1385, 0.0011, 0.5002, 0.0074, 0.6657000000000001, 0.0044, 1.5869, 0.0077, 3.1397, 0.0044, 3.1394, 0.0038, 3.1437, 0.0048000000000000004, 0.5314, 0.0094, 0.5421, 0.0033, 3.1446, 0.0045000000000000005, 0.0035, ... | 0.047619047619047616 * (Z(1) @ Z(2)) + 0.023809523809523808 * (Z(3) @ Z(2)) + 0.023809523809523808 * (Z(3) @ Z(1)) + 0.047619047619047616 * (Z(5) @ Z(2)) + 0.047619047619047616 * (Z(5) @ Z(1)) + 0.023809523809523808 * (Z(5) @ Z(3)) + 0.047619047619047616 * (Z(6) @ Z(2)) + 0.047619047619047616 * (Z(6) @ Z(1)) + 0.023809... | 16 | 12 | 1 | {"smallest_eigenvalues": [-1.1309523809523812, -1.1309523809523812, -1.1309523809523812, -1.1309523809523812, -1.1309523809523812], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.130952380952381, "smallest_bitstrings": ["101000100001", "100110000110", "111000000001", "110000100001", "000010001110"], "l... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.002) q[0];
rz(0.0043) q[0];
rx(3.1397) q[1];
rz(0.0046) q[1];
rx(3.1385) q[2];
rz(0.0011) q[2];
rx(0.5002) q[3];
rz(0.0074) q[3];
rx(0.6657) q[4];
rz(0.0044) q[4];
rx(1.5869) q[5];
rz(0.0077) q[5];
rx(3.1397) q[6];
rz(0.0044) q[6];
rx(3.1394) q[7];
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": []} | [
"IIIIIIIIIZZI",
"IIIIIIIIZZII",
"IIIIIIIIZIZI",
"IIIIIIZIIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIZIIIZII",
"IIIIIZIIIIZI",
"IIIIIZIIZIII",
"IIIIIZZIIIII",
"IIIZIIIIIZII",
"IIIZIIIIIIZI",
"IIIZIIIIZIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIZIIIIIIZII",
"IIZIIIIIIIZI",
"IIZIIIIIZ... | [
0.047619047619047616,
0.023809523809523808,
0.023809523809523808,
0.047619047619047616,
0.047619047619047616,
0.023809523809523808,
0.047619047619047616,
0.047619047619047616,
0.023809523809523808,
0.047619047619047616,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.02... |
-2740607792148196089 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 5, 7, 9, 10], [8, 2], [3, 4, 6, 7, 9, 10], [0, 2, 3, 4, 5, 6, 9], [0, 1, 3, 4, 5, 7, 8], [1, 2, 5, 7, 9], [0, 4, 6, 7, 9, 10], [0, 1, 6, 7, 8, 9], [0, 3, 6, 7, 8, 9, 10], [0, 1, 10, 6], [0, 1, 2, 3, 6], [1, 3, 5, 7, 8, 9, 10], [0, 1, 3, 6, 8, 9], [0, 4, 7... | {"states": [1995, 1931], "expectation_value": -3.165695294074656, "params": [[[2.7851000000000004, 0.0048000000000000004, 0.002, 0.007500000000000001], [0.0017000000000000001, -0.06470000000000001, 1.5742, 0.0064], [2.7957, 0.0007, 0.007, 0.0059], [0.0016, -0.1835, 1.5691000000000002, 0.0085], [1.3111000000000002, 0.00... | 0.13095238095238096 * (Z(0) @ Z(5)) + 0.18095238095238095 * (Z(7) @ Z(5)) + 0.23095238095238094 * (Z(7) @ Z(0)) + 0.18095238095238095 * (Z(9) @ Z(5)) + 0.2642857142857143 * (Z(9) @ Z(0)) + 0.3142857142857143 * (Z(9) @ Z(7)) + 0.07380952380952381 * (Z(10) @ Z(5)) + 0.2238095238095238 * (Z(10) @ Z(0)) + 0.197619047619047... | 12 | 11 | 1 | {"smallest_eigenvalues": [-3.466666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.3666666666666663, "smallest_bitstrings": ["00001110100"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(2.7851) q[0];
rz(0.0048) q[0];
ry(0.0017) q[1];
rz(-0.0647) q[1];
ry(2.7957) q[2];
rz(0.0007) q[2];
ry(0.0016) q[3];
rz(-0.1835) q[3];
ry(1.3111) q[4];
rz(0.0003) q[4];
ry(0.5149) q[5];
rz(-0.0268) q[5];
ry(0.7686) q[6];
rz(0.009) q[6];
ry(-0.3134) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIZ",
"IIIZIZIIIII",
"IIIZIIIIIIZ",
"IZIIIZIIIII",
"IZIIIIIIIIZ",
"IZIZIIIIIII",
"ZIIIIZIIIII",
"ZIIIIIIIIIZ",
"ZIIZIIIIIII",
"ZZIIIIIIIII",
"IIZIIZIIIII",
"IIZIIIIIIIZ",
"IIZZIIIIIII",
"IZZIIIIIIII",
"ZIZIIIIIIII",
"IIIIIZIIZII",
"IIIIIIIIZIZ",
"IIIZIIIIZII",
"IZIIIIIIZ... | [
0.13095238095238096,
0.18095238095238095,
0.23095238095238094,
0.18095238095238095,
0.2642857142857143,
0.3142857142857143,
0.07380952380952381,
0.2238095238095238,
0.1976190476190476,
0.1976190476190476,
0.047619047619047616,
0.1476190476190476,
0.13809523809523808,
0.1476190476190476,
... |
1809061964376855019 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 5, 6, 7], [8, 2, 3, 4], [8, 3, 5, 7], [0, 2, 5, 6, 8], [1, 3, 4], [0, 3, 4, 5]]} | {"states": [411, 126], "expectation_value": -0.6279474031252221, "params": [[-0.3467], [0.3537]], "bitstrings": ["001100100", "110000001"], "total_optimization_steps": 40, "probabilities": [0.004000067805492894, 0.004075130953681328], "optimization_time": 5.835783004760742} | 0.03333333333333333 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333334 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(5) @ Z(1)) + 0.16666666666666669 * (Z(5) @ Z(0)) + 0.08333333333333334 * (Z(5) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333334 * (Z(6) @ Z(0)) + 0.08333333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.4833333333333334, -1.4833333333333334], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.4500000000000002, "smallest_bitstrings": ["000010110", "110000001"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.0231) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0231) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0578) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(-0.0231) q[5];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIIZII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIIZ",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIZIZI",
"... | [
0.03333333333333333,
0.03333333333333333,
0.08333333333333334,
0.03333333333333333,
0.16666666666666669,
0.08333333333333334,
0.03333333333333333,
0.08333333333333334,
0.08333333333333334,
0.08333333333333334,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.116666666666666... |
4697271696339792707 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 2, 5], [8, 0, 3, 6], [8, 0, 2, 4], [3, 7]]} | {"states": [508, 415], "expectation_value": -0.5544645823768927, "params": [[-0.48900000000000005], [0.4529]], "bitstrings": ["000000011", "001100000"], "total_optimization_steps": 50, "probabilities": [0.005199280873638292, 0.00525790615942834], "optimization_time": 2.599839925765991} | 0.08333333333333333 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.25, -1.25, -1.25, -1.25, -1.25, -1.25, -1.25, -1.25], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.2499999999999998, "smallest_bitstrings": ["100001010", "010010110", "001100000", "001000110", "000111000", "000011110", "010110000", "110000010"], "largest_eigenvalue": 3.50... | OPENQASM 3.0;
include "stdgates.inc";
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[8];
rz(-0.0815) q[8];
cx q[1], q[8];
cx q[1], q[2];
rz(-0.0815) q[2];
cx q[1], q[2];
cx q[8], q[2];
rz(-0.163) q[2];
cx q[8], q[2];
cx q[1], q[5];
rz(-0.0815) q[5];
cx q[1], q[5... | 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[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[8];
rz(x0) q[8];
... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIZI",
"IIIIIIZZI",
"ZIIIIIZII",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIZIIZII",
"ZIIIIIIIZ",
"IIIIIIZIZ",
"ZIIIIZIII",
"IIIIIZIIZ",
"ZIZIIIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIZIIII",
"IIIIZIZII",
"IIIIZIIIZ",
"IZIIIZIII",
"IIIIIIIZI",
"ZIIIIIIII",
"IIIIIIZII",
"IIIZIIIII",
"... | [
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.083333333333333... |
6325447213307762689 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 5], [0, 8], [1, 3], [4, 7], [8, 6]]} | {"states": [43, 302], "expectation_value": -2.3368399386302685, "params": null, "bitstrings": ["111010100", "011010001"], "total_optimization_steps": 79, "probabilities": [0.04720803304183767, 0.68147543851604], "optimization_time": 113.67711734771729} | 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(6) @ Z(8)) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(8) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(7) + 0.0 * Z(4) + 0.0 * Z(6) | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -1.5, "smallest_bitstrings": ["001110001", "010001011", "000111001", "111010100", "110011100", "011000011", "001100011", "101110100", "... | OPENQASM 3.0;
include "stdgates.inc";
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];
cry(-1.0342) q[6], q[8];
cry(-1.0342) q[5], q[2];
cry(-1.0342) q[7], q[4];
cry(-1.0342) q[3], q[1];
ry(0.7003) q[6];
cry(-0.7092) q[0], q[8];
cry(1.1516) q[6], q[0];
ry(0.7003) q[7];
ry(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[6], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... | [
"IIIZIIZII",
"ZIIIIIIIZ",
"IIIIIZIZI",
"IZIIZIIII",
"ZIZIIIIII",
"IIIZIIIII",
"IIIIIIZII",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IZIIIIIII",
"IIIIZIIII",
"IIZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] |
fb55b7f27876f4dd564d8179831c511b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 2}, {"weight": 16, "source": 1, "target": 4}, {"weight":... | {"states": [938, 426], "expectation_value": -58.033460993420945, "params": [1.0045, -0.0359, 0.9972000000000001, 0.0039000000000000003, 1.0030000000000001, -0.042100000000000005, 0.8785000000000001, 0.0099, 1.0019, -0.0291, 0.9982000000000001, 0.0056, 0.9934000000000001, -0.2411, 0.1957, 0.0073, 0.9991000000000001, -0.... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(6) @ Z(2)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(8) @ Z(4)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(6)) + 5.5 * (Z(9) @ Z(8)) + 11.0 * Z(1) + 4.0 * Z(0) + 19.0 * ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-93.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.5, "smallest_bitstrings": ["1001010101"], "largest_eigenvalue": 151.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.0045) q[0];
rz(-0.0359) q[0];
rx(1.003) q[1];
rz(-0.0421) q[1];
rx(1.0019) q[2];
rz(-0.0291) q[2];
rx(0.9934) q[3];
rz(-0.2411) q[3];
rx(0.9991) q[4];
rz(-0.0522) q[4];
rx(1.0008) q[5];
rz(0.2641) q[5];
rx(1.005) q[6];
rz(-0.0291) q[6];
rx(0.995) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIZIIIZII",
"IIIIZIIZII",
"IIIZZIIIII",
"IIZIIZIIII",
"IZIIIZIIII",
"IZZIIIIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIZIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
11,
4,
19,
1,
11,
15.5,
3.5,
0.5,
11,
3.5
] |
5179176803525161917 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[12, 6], [6, 7], [3, 5], [8, 11], [9, 10], [11, 3, 4], [9, 12, 7], [10, 5, 7], [1, 3, 7], [10, 4, 7], [11, 6], [10, 6], [9, 4, 12], [8, 2, 5], [1, 10, 3], [1, 4], [0, 1, 6], [3, 12], [8, 4], [11, 12], [8, 6], [1, 12], [1, 11, 7]]} | {"states": [7591, 5543], "expectation_value": -5.561509091243878, "params": [2.0396, 1.1034000000000002, 2.5285, 2.2151, 2.3421000000000003, 0.8150000000000001, 0.0023, 0.0023, 1.8818000000000001, 1.2655, 1.5697, 1.5675000000000001, 0.0024000000000000002, 0.0024000000000000002, 1.5725, 1.5637, 0.0023, 0.0023, -0.0019, ... | 0.5 * (Z(12) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(12)) + 0.5 * (Z(3) @ Z(12)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.5 * (Z(11) @ Z(6)) + 0.5 * (Z(11) @ Z(12)) + 0.166666... | 13 | 13 | 1 | {"smallest_eigenvalues": [-6.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.833333333333337, "smallest_bitstrings": ["0101001011000"], "largest_eigenvalue": 16.499999999999996} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(2.0396) q[0];
ry(2.5285) q[1];
ry(2.3421) q[2];
ry(0.0023) q[3];
ry(1.8818) q[4];
ry(1.5697) q[5];
ry(0.0024) q[6];
ry(1.5725) q[7];
ry(0.0023) q[8];
ry(-0.0019) q[9];
ry(1.5752) q[10];
ry(1.5735) q[11];
ry(1.4528) q[12];
crz(-0.1282) q[12], q[0];
crz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZIIIIII",
"IIIIIZZIIIIII",
"ZIIIIZIIIIIII",
"ZIIIIIIIIZIII",
"IIIIIZIIIZIII",
"IIIIIZIZIIIII",
"IIIIIIIZIZIII",
"IIIIZIZIIIIII",
"IIIIZIIZIIIII",
"IZIIIIZIIIIII",
"ZZIIIIIIIIIII",
"IZIIIZIIIIIII",
"IZIIIIIIIZIII",
"IZIIZIIIIIIII",
"ZIIZIIIIIIIII",
"IIIZIZIIIIIII",
"IIZIIIZIIII... | [
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.... |
acada4066455ca7f7a579971997ec183 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 9}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target":... | {"states": [638, 574], "expectation_value": -4.022286275494009, "params": [[[1.6092000000000002, 0.0031000000000000003], [-0.0015, 0.0013000000000000002], [0.5266000000000001, 0.0066], [1.57, 0.0], [1.6127, 0.009600000000000001], [1.5944, 0.0022], [1.6115000000000002, 0.0046], [1.5997000000000001, 0.0079], [1.6122, 0.0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(9)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(9)) + -2.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(9) + -1.0 * Z(2) + ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["0110010001", "0111000001"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.6092) q[0];
rz(0.0031) q[0];
rx(-0.0015) q[1];
rz(0.0013) q[1];
rx(0.5266) q[2];
rz(0.0066) q[2];
rx(1.57) q[3];
rz(0) q[3];
rx(1.6127) q[4];
rz(0.0096) q[4];
rx(1.5944) q[5];
rz(0.0022) q[5];
rx(1.6115) q[6];
rz(0.0046) q[6];
rx(1.5997) q[7];
rz(0.0079... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"IIIIIIIZZI",
"IIIIZIIIZI",
"IIZIIIIIZI",
"IIZIIIIZII",
"IZIIIIIIZI",
"IIIIIZIZII",
"ZIIIIIZIII",
"IIIIZIZIII",
"ZIIZIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"ZIIIIIIIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"IIIIIZIIII"... | [
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,
-0.5,
-1.5,
-1,
-0.5,
-0.5,
0,
0,
-0.5,
0
] |
6697546239503012823 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4], [1, 2, 3, 4, 5, 6], [0, 2, 3, 5, 6, 7], [0, 1, 6]]} | {"states": [150, 244], "expectation_value": -0.018625709889167064, "params": [[0.0658], [-0.0629]], "bitstrings": ["01101001", "00001011"], "total_optimization_steps": 10, "probabilities": [0.004031373886157864, 0.004033550592960115], "optimization_time": 1.2944040298461914} | 0.5 * (Z(0) @ Z(4)) + 0.03333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.03333333333333333 * (Z(2) @ Z(4)) + 0.03333333333333333 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.03333333333333333 * (Z(3) @ Z(4)) + 0.03333333333333333 * (Z(3) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.2333333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.2000000000000002, "smallest_bitstrings": ["00001011"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(0.0658) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(0.0044) q[1];
cx q[4], q[1];
cx q[0], q[1];
rz(0.0219) q[1];
cx q[0], q[1];
cx q[4], q[2];
rz(0.0044) q[2];
cx q[4], q[2];
cx q[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;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
r... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIIZIIZI",
"IIIIIIZZ",
"IIIZIZII",
"IIIIIZIZ",
"IIIIIZZI",
"IIIZZIII",
"IIIIZIIZ",
"IIIIZIZI",
"IIIIZZII",
"IIZZIIII",
"IIZIIIIZ",
"IIZIIIZI",
"IIZIIZII",
"IIZIZIII",
"IZIZIIII",
"IZIIIIIZ",
"IZIIIIZI",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIIZ",
"ZIIIIZI... | [
0.5,
0.03333333333333333,
0.16666666666666666,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.06666666666666667,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.06666666666666667,
0.06666666... |
086fdad20e2baddfaa8981d343c52cbf | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "ta... | {"states": [1759, 1755], "expectation_value": -2.4003576252825356, "params": [[[-0.0029000000000000002, 0.3221], [1.1004, 0.0013000000000000002], [1.1008, -0.0027], [0.3327, -0.3864], [1.1057000000000001, -0.002], [1.0941, 0.0004], [0.34790000000000004, -0.3829], [1.1033, -0.0017000000000000001], [1.1093, 0.0011], [0.6... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(7) @ Z(1)) + 0.125 * (Z(1) @ Z(8)) + 0.125 * (Z(3) @ Z(7)) + 0.125 * (Z(3) @ Z(8)) + 0.125 * (Z(7) @ Z(8)) + -0.125 * (Z(3) @ Z(7) @ Z(1)) + ... | 1 | 12 | 2 | {"smallest_eigenvalues": [-4.8125, -4.8125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.8125, "smallest_bitstrings": ["100101000010", "100100100100"], "largest_eigenvalue": 7.1875} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.0029) q[0];
rz(0.3221) q[0];
rx(1.1004) q[1];
rz(0.0013) q[1];
rx(1.1008) q[2];
rz(-0.0027) q[2];
rx(0.3327) q[3];
rz(-0.3864) q[3];
rx(1.1057) q[4];
rz(-0.002) q[4];
rx(1.0941) q[5];
rz(0.0004) q[5];
rx(0.3479) q[6];
rz(-0.3829) q[6];
rx(1.1033) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZZ",
"IIIIIIIZZIII",
"IIIIIZZIIIII",
"IIIIIIIIZIZI",
"IIIIZIIIIIZI",
"IIIZIIIIIIZI",
"IIIIZIIIZIII",
"IIIZIIIIZIII",
"IIIZZIIIIIII",
"IIIIZIIIZIZI",
"IIIZIIIIZIZI",
"IIIZZIIIIIZI",
"IIIZZIIIZIII",
"IIIZZIIIZIZI",
"IIZIIIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
... |
d78f7556e7639886d17f02ad3944a31a | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": 4, "target":... | {"states": [0, 451], "expectation_value": -15.34728795661799, "params": [0.7998000000000001, 0.038400000000000004, -0.7588, 0.006, -0.6774, 1.0893000000000002, -0.0429, 0.0046, -0.9758, 0.7165, 0.5563, 0.0032, 0.0001, 1.4744000000000002, -0.0046, 0.0068000000000000005, -0.0029000000000000002, 1.3386, 0.0037, 0.00260000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(6)) + -2.5 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(6)) + 1.0 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z(6) + -2.0 * Z(3) + -2.0 * Z(4) + -2.0 * Z(5) +... | 6 | 9 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["000111100"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.7998) q[0];
rz(0.0384) q[0];
rx(-0.6774) q[1];
rz(1.0893) q[1];
rx(-0.9758) q[2];
rz(0.7165) q[2];
rx(0.0001) q[3];
rz(1.4744) q[3];
rx(-0.0029) q[4];
rz(1.3386) q[4];
rx(-0.003) q[5];
rz(1.3322) q[5];
rx(-0.0028) q[6];
rz(1.2715) q[6];
rx(-1.0258) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIZIIZIII",
"IIZIZIIII",
"IIIIZZIII",
"IIZZIIIII",
"IIIZIZIII",
"IIIZZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIZIIIIII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-1.5,
-1.5,
0.5,
-2.5,
-2.5,
1,
-2.5,
1,
1,
-1,
0.5,
0.5,
0.5,
-2,
-2,
-2,
-2,
0.5,
0.5
] |
62ca4fdc3f835f51dee1780376d2bf19 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [50, 38], "expectation_value": -3.996464044453145, "params": null, "bitstrings": ["001101", "011001"], "total_optimization_steps": 25, "probabilities": [0.06634810229922904, 0.9303665171780984], "optimization_time": 15.065248012542725} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "011001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[2];
ry(-1.5681) q[5];
ry(1.4449) q[4];
ry(1.4449) q[0];
cry(-1.0342) q[3], q[1];
ry(0.7003) q[3];
ry(-0.4549) q[1];
cry(0.4963) q[0], q[3];
cry(-0.3789) q[0], q[1];
cry(0.2489) q[4], q[3];
cry(-0.14... | 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",
"ZIIZII",
"ZIIIIZ",
"IIIZZI",
"ZIZIII",
"IIZIZI",
"IZIZII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-0.5,
-0.5,
-0.5
] |
dd5fc1f9f83fb22d203285a7c9a347ac | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 6, "target":... | {"states": [0, 507], "expectation_value": -5.540517007323009, "params": [0.4005, -0.0848, -0.7609, 0.0058000000000000005, 0.7796000000000001, -0.0035, -0.8065, 0.0057, 0.7372000000000001, 1.3236, -0.0279, 0.009000000000000001, 0.8896000000000001, 1.1924000000000001, -0.2742, 0.0054, 0.9449000000000001, 0.9778, -0.4244,... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(6) | 6 | 9 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["000000100"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.4005) q[0];
rz(-0.0848) q[0];
rx(0.7796) q[1];
rz(-0.0035) q[1];
rx(0.7372) q[2];
rz(1.3236) q[2];
rx(0.8896) q[3];
rz(1.1924) q[3];
rx(0.9449) q[4];
rz(0.9778) q[4];
rx(0.9488) q[5];
rz(0.9506) q[5];
rx(-0.3918) q[6];
rz(0.0422) q[6];
rx(1.0066) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIZIIIIII"
] | [
-1.5,
-1.5,
0.5,
-1.5,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] |
ce32d04906c10b35aef772d26e0a291a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 5, "source": 0, "target": 5}, {"capacity": 6, "source": 0, "target": 9}, {"capacity": 6, "source": 1, "target":... | {"states": [0, 256], "expectation_value": -25.24061739972683, "params": [-0.01, 0.079, -0.0086, 0.0629, -0.0028, 0.22410000000000002, -0.0013000000000000002, 0.2369, 0.3058, 0.0011, 0.3034, 0.0014, -0.0057, 0.20750000000000002, -0.0013000000000000002, 0.2364, -0.0047, 0.22740000000000002, -0.0044, 0.2349, -0.0007, 0.24... | -1.25 * (Z(0) @ Z(6)) + -1.5 * (Z(10) @ Z(6)) + -1.5 * (Z(10) @ Z(0)) + -2.25 * (Z(5) @ Z(10)) + -2.0 * (Z(1) @ Z(5)) + 3.0 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(6)) + -1.25 * (Z(4) @ Z(10)) + -0.5 * (Z(4)... | 6 | 11 | 3 | {"smallest_eigenvalues": [-26.0, -26.0, -26.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -25.0, "smallest_bitstrings": ["11001110111", "11011111111", "11011110111"], "largest_eigenvalue": 26.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.01) q[0];
rz(0.079) q[0];
rx(-0.0028) q[1];
rz(0.2241) q[1];
rx(0.3058) q[2];
rz(0.0011) q[2];
rx(-0.0057) q[3];
rz(0.2075) q[3];
rx(-0.0047) q[4];
rz(0.2274) q[4];
rx(-0.0007) q[5];
rz(0.2404) q[5];
rx(0.002) q[6];
rz(0.1857) q[6];
rx(-0.0017) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZ",
"ZIIIZIIIIII",
"ZIIIIIIIIIZ",
"ZIIIIZIIIII",
"IIIIIZIIIZI",
"IIIIIIIIZIZ",
"IIIIIZIIZII",
"IIIIIIIIZZI",
"IIIIZIIZIII",
"IIIIIZIZIII",
"IIIIIIIZIZI",
"IIIIZIZIIII",
"ZIIIIIZIIII",
"IIIIIIZZIII",
"IIIZZIIIIII",
"ZIIZIIIIIII",
"IIIZIIIIZII",
"IIIZIIIZIII",
"IIIZIIZII... | [
-1.25,
-1.5,
-1.5,
-2.25,
-2,
3,
-0.75,
-1,
-0.25,
-0.25,
-0.5,
-0.5,
-1.25,
-0.5,
-0.25,
-0.75,
-0.75,
-1.5,
-1.25,
-1.5,
-1,
-1.5,
-1.25,
-0.25,
-1,
-1.25,
-1.25,
2.25,
-0.25,
-3.5,
-1,
0,
0.5,
0,
-3,
4.25,
0.25,
0.5
] |
aa017fe03799a772a3aff0770f4d70b4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 1, "source": 3, "target": 6}, {"capacity": 2, "source": 5, "target": 1}, {"capacity": 2, "source": 5, "target": 2... | {"states": [59, 63], "expectation_value": -3.499984296406191, "params": null, "bitstrings": ["1000100", "1000000"], "total_optimization_steps": 18, "probabilities": [0.1249982611471617, 0.1249982611471617], "optimization_time": 13.050500631332397} | -1.0 * (Z(0) @ Z(5)) + -1.0 * (Z(6) @ Z(5)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z(5)) + 1.5 * Z(5) + -0.25 * Z(0) + 0.0 * Z(6) + 0.25 * Z(3) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000000", "1110000", "1110100", "1010100", "1100100", "1110110", "1100000", "1010000", "1000100"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(1.5708) q[5];
cry(1.5681) q[5], q[6];
cry(-1.4449) q[6], q[0];
cry(1.4449) q[6], q[3];
cry(-0.1188) q[5], q[0];
ry(0.1188) q[3];
cry(-0.0067) q[3], q[0];
cry(0.0015) q[3], q[6];
c[0] = measure q[0];
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(1.5708) 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", "... | [
"IZIIIIZ",
"ZZIIIII",
"ZIIIIIZ",
"ZIIZIII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
-1,
-1,
1.25,
-0.25,
-0.5,
-0.5,
-0.5,
1.5,
-0.25,
0,
0.25,
-0.5,
-0.5,
-0.5
] |
a0d529ca36dd3a1366498490d13dd5e2 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": ... | {"states": [14, 49], "expectation_value": -0.38890128359701326, "params": [[-0.0626, -0.0354, -0.0119], [0.0791, 0.058600000000000006, 0.039900000000000005]], "bitstrings": ["110001", "001110"], "total_optimization_steps": 10, "probabilities": [0.022123354519154672, 0.022281481026473163], "optimization_time": 5.2071695... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["001110", "110001", "010011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(-0.0626) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.0626) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(-0.0626) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(-0.0626) q[3];
cx q[1], q[3];
cx q[4], q[5];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IZIIZI",
"IIIZZI",
"IIZIZI",
"ZZIIII",
"ZIIZII",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1,
-0.5,
-0.5,
-1
] |
911c0350d38064fce133b145f43937d0 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [30, 31], "expectation_value": -4.6469517737569, "params": [0.0039000000000000003, 0.20040000000000002, -0.016300000000000002, 0.2029, 0.14830000000000002, 0.1506, 0.4007, -0.0068000000000000005, 0.39990000000000003, -0.0, 0.39840000000000003, -0.0026000000000000003, 0.4035, 0.0007, 0.4037, -0.00260000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + -2.5 * Z(1) + -1.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(6) + -1.0 * Z(7) + -0.5 * Z... | 4 | 8 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["11100000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0039) q[0];
rz(0.2004) q[0];
rx(-0.0163) q[1];
rz(0.2029) q[1];
rx(0.1483) q[2];
rz(0.1506) q[2];
rx(0.4007) q[3];
rz(-0.0068) q[3];
rx(0.3999) q[4];
rz(0) q[4];
rx(0.3984) q[5];
rz(-0.0026) q[5];
rx(0.4035) q[6];
rz(0.0007) q[6];
rx(0.4037) q[7];
rz(-0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIZIIIZI",
"IIIZIIZI",
"ZIIIIZII",
"IIZIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIZIIII",
"IIIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1.5,
-0.5,
-0.5,
-1,
-0.5,
0,
-0.5
] |
79087052ad36c4cb88a3e463c779d71c | 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": [677, 675], "expectation_value": -87.60331209340796, "params": [[[1.199, 0.2331], [1.2037, 0.0702], [0.1336, 0.1723], [1.2073, 1.1842000000000001], [0.158, 1.1961000000000002], [0.5926, 0.6988000000000001], [-0.2155, 1.2078], [0.019100000000000002, 0.23140000000000002], [0.1681, 0.7861], [0.5696, 0.532], [-1... | 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(6) @ Z(3)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(8) @ Z(1)) + 7.0 * (Z(9) @ Z(8)) + 7.0 * (Z(0) @ Z(9)) + 7.0 * (Z(10) @ Z(2)) + 7.0 * (Z(10) @ Z(8)) + 7.0 * (Z(10) @ Z(9)) + 9.5 * Z(2) + 14.5 * Z(1) + 15.0 * Z(3) + 6.0 * Z(5) +... | 15 | 11 | 2 | {"smallest_eigenvalues": [-120.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -101.5, "smallest_bitstrings": ["10101011100"], "largest_eigenvalue": 172.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.199) q[0];
ry(1.2037) q[1];
ry(0.1336) q[2];
ry(1.2073) q[3];
ry(0.158) q[4];
ry(0.5926) q[5];
ry(-0.2155) q[6];
ry(0.0191) q[7];
ry(0.1681) q[8];
ry(0.5696) q[9];
ry(-1.0311) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"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",
"IIIIIIIZIZI",
"IIIIIZZIIII",
"IIIIZIIZIII",
"IIIIZZIIIII",
"IIZIIIIIIZI",
"IZZIIIIIIII",
"IZIIIIIIIIZ",
"ZIIIIIIIZII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIZIIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
9.5,
14.5,
15,
6,
-4.5,
1.5,
11,
14.5,
-5.5,
15.5,
-11
] |
40ef9703de0f0e767127b58189c71b80 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "ta... | {"states": [1145, 1401], "expectation_value": -3.7455093918660083, "params": [[[0.9977, -0.0013000000000000002], [0.183, -0.3961], [0.5517000000000001, 0.0007], [-0.004200000000000001, -0.4857], [0.9996, 0.0009000000000000001], [0.9963000000000001, 0.0012000000000000001], [1.0024, 0.0041], [0.8142, 0.000600000000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) ... | 1 | 11 | 3 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["00110001010", "01010000110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.9977) q[0];
rz(-0.0013) q[0];
rx(0.183) q[1];
rz(-0.3961) q[1];
rx(0.5517) q[2];
rz(0.0007) q[2];
rx(-0.0042) q[3];
rz(-0.4857) q[3];
rx(0.9996) q[4];
rz(0.0009) q[4];
rx(0.9963) q[5];
rz(0.0012) q[5];
rx(1.0024) q[6];
rz(0.0041) q[6];
rx(0.8142) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIZZIII",
"IIIIIIIZIIZ",
"IIIIIZIIIIZ",
"IIIIZIIIIIZ",
"IIIIIZIZIII",
"IIIIZIIZIII",
"IIIIZZIIIII",
"IIIIIZIZIIZ",
"IIIIZIIZIIZ",
"IIIIZZIIIIZ",
"IIIIZZIZIII",
"IIIIZZIZIIZ",
"IIIZIZIIIII",
"IIZIIZIIIII",
"IIZZIIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
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,... |
34fec832591d56601cbd146a15fec9ed | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [138, 139], "expectation_value": -2.296690739763223, "params": [[[0.7059000000000001, -0.0026000000000000003], [0.008700000000000001, -0.0004], [-0.0078000000000000005, -0.0], [0.0659, 0.08030000000000001], [0.6980000000000001, -0.0385], [0.2866, 0.2652], [0.39230000000000004, 0.4818], [0.7050000000000001, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(4) @ Z(6)) + -0.125 * (Z(0) @ Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(5) @ Z(6)) + 0.12... | 15 | 8 | 3 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.375, "smallest_bitstrings": ["10110001", "01100011", "01110100", "01100110", "10100011"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.7059) q[0];
ry(0.0087) q[1];
ry(-0.0078) q[2];
ry(0.0659) q[3];
ry(0.698) q[4];
ry(0.2866) q[5];
ry(0.3923) q[6];
ry(0.705) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
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": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZIIIZ",
"IIZIIIIZ",
"IZIIIIIZ",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"IIZZIIIZ",
"IZIZIIIZ",
"IZZIIIIZ",
"IZZZIIII",
"IZZZIIIZ",
"IIIZIIZI",
"ZIIIIIZI",
"ZIIZIIII",
"ZIIZIIZI",
"ZIZIIIII",
"IZIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZII... | [
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
-0.125,
-0.25,
-1,
-0.5,
0.125,
-0.125,
-0.125,
-0.25
] |
4e789b5f5e852b62538cbace7bbd9fdb | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [60, 53], "expectation_value": -3.9991341831025764, "params": null, "bitstrings": ["1000011", "1001010"], "total_optimization_steps": 29, "probabilities": [0.06620744839636572, 0.9331647657999109], "optimization_time": 21.643916845321655} | 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(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(5) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["0011010", "1001010", "1000011"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(-1.5708) q[5];
ry(-1.4449) q[0];
ry(1.4449) q[4];
ry(1.4449) q[1];
ry(1.4417) q[2];
cry(-1.0398) q[6], q[3];
ry(0.7022) q[6];
ry(-0.4578) q[3];
cry(0.497) q[4], q[6];
cry(-0.3761) q[4], q[3];
cry(0.247... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZIIZ",
"IZIIIIZ",
"IZIZIII",
"IZIIIZI",
"ZIIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1,
-1,
-1.5,
0,
0,
0
] |
6de3ca972134e3b2df718cabf76739a9 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [56, 49], "expectation_value": -4.9999374822341585, "params": null, "bitstrings": ["000111", "001110"], "total_optimization_steps": 26, "probabilities": [1.6356494444747167e-05, 0.9999687417661175], "optimization_time": 18.337030172348022} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -2.0 * Z(4) + 0.0 * Z(1) + -1.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[4];
ry(-1.5681) q[3];
ry(-1.4449) q[2];
ry(1.4449) q[1];
ry(1.4417) q[0];
ry(1.4417) q[5];
cry(-0.1259) q[5], q[2];
cry(0.1217) q[1], q[0];
cry(0.1216) q[0], q[5];
cry(0.1186) q[5], q[1];
cry(-0.002... | 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[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IZZIII",
"IZIIZI",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-2,
0,
-1
] |
8d8fa5ee6a82ad17d0d6120aef30e861 | 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": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6... | {"states": [33, 1], "expectation_value": -11.74999348972191, "params": null, "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 17, "probabilities": [0.4999996713631394, 0.4999996713631394], "optimization_time": 13.457895278930664} | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(5) @ Z(3)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + -1.5 * Z(4) + 2.25 * Z(6) + 1.5 * Z(1) + -1.25 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["1011110", "1111110"], "largest_eigenvalue": 13.25} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(1.5708) q[6];
ry(-1.5708) q[0];
ry(-1.5708) q[4];
ry(-1.5706) q[2];
ry(-1.5706) q[5];
ry(-1.5708) q[3];
cry(-0.0016) q[6], q[0];
cry(-0.0002) q[6], q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] ... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"IIIIZZI",
"IIZIIZI",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
-0.5,
-1,
-0.75,
-0.25,
2.5,
-0.75,
-0.75,
-1.25,
-1,
-0.25,
0.25,
-1.5,
2.25,
1.5,
-1.25
] |
8571677821520371940 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[6, 7], [0, 1, 4, 7], [8, 2, 3, 4], [0, 6], [8, 2, 3, 7], [1, 3, 4, 6], [1, 3, 7], [3, 4, 5], [8, 1, 6], [0, 2, 5, 7], [8, 1, 3, 0], [1, 2, 3], [0, 3, 4, 7], [2, 5, 6], [8, 5, 7]]} | {"states": [467, 475], "expectation_value": -2.1101189359340955, "params": [[0.37110000000000004], [-0.36250000000000004]], "bitstrings": ["000101100", "000100100"], "total_optimization_steps": 40, "probabilities": [0.011144146718555934, 0.012781346536456436], "optimization_time": 2.3988583087921143} | 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(6)) + 0.25 * (Z(1) @ Z(7)) + 0.25 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(7)) + 0.08333333333333333 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.25 * (Z(8) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.750000000000001, "smallest_bitstrings": ["000100100"], "largest_eigenvalue": 14.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
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[7], q[6];
rz(0.3711) q[6];
cx q[7], q[6];
cx q[7], q[0];
rz(0.1856) q[0];
cx q[7], q[0];
cx q[6], q[0];
rz(0.3711) q[0];
cx q[6], q[0];
cx q[7], q[1];
rz(0.1856) q[1];
cx q[7], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": []} | [
"IZZIIIIII",
"IZIIIIIIZ",
"IIZIIIIIZ",
"IZIIIIIZI",
"IIZIIIIZI",
"IIIIIIIZZ",
"IZIIZIIII",
"IIZIZIIII",
"IIIIZIIIZ",
"IIIIZIIZI",
"ZZIIIIIII",
"ZIZIIIIII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"ZIIIZIIII",
"IZIIIIZII",
"IIZIIIZII",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIZIZII",
"ZIIIIIZII",
"... | [
0.5,
0.25,
0.5,
0.25,
0.25,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.25,
0.16666666666666666,
0.08333333333333333,
0.25,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.1666666... |
38980211450f7282c15e0ab435ff2cd6 | 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": 4}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [0, 1], "expectation_value": -6.4999926984005585, "params": null, "bitstrings": ["111111", "111110"], "total_optimization_steps": 13, "probabilities": [1.8109829322873913e-06, 0.9999981818028625], "optimization_time": 5.9166247844696045} | -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 | 3 | {"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";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.5681) q[5];
ry(-1.5708) q[0];
ry(-1.4449) q[1];
ry(-1.5708) q[3];
ry(-1.5681) q[2];
ry(-1.568) q[4];
cry(-0.1259) q[5], q[1];
cry(-0.0028) q[5], q[4];
cry(-0.0027) q[5], q[2];
c[0] = measure q[0];
c[1] = mea... | 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(1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"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
] |
406f205c8f68e15d44cfdbce281f4c7d | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 4, "target": 3}]} | {"states": [41, 7], "expectation_value": -2.2084341682161965, "params": [[0.052500000000000005, 0.0717], [-0.0362, -0.0531]], "bitstrings": ["010110", "111000"], "total_optimization_steps": 10, "probabilities": [0.023196450233663086, 0.02369800781903221], "optimization_time": 3.745126247406006} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 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";
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(0.1838) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1838) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1838) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.1838) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.21) ... | OPENQASM 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;
h q[0];
h q[1];
h ... | {"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,
1.75,
2,
2,
2,
2,
2,
1.75,
2,
1.75,
2,
2,
2,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
-0.25
] |
44e8495c1eeae4e26ce46cf2532bece4 | 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": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 7, "source": 0, "target": 6... | {"states": [33, 41], "expectation_value": -5.868612501203972, "params": [[0.068, 0.0599, 0.0056], [-0.0742, -0.058100000000000006, -0.0329]], "bitstrings": ["1011110", "1010110"], "total_optimization_steps": 10, "probabilities": [0.02499808846466804, 0.02726414884923084], "optimization_time": 3.7681593894958496} | -1.25 * (Z(0) @ Z(2)) + -1.75 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -1.75 * (Z(4) @ Z(2)) + -1.75 * (Z(4) @ Z(0)) + 4.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 3.0 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-23.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["1010110"], "largest_eigenvalue": 23.25} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.17) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.238) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.136) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(-0.238) q[4];
cx q[2], q[4];
cx q[0], 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"ZIIIIIZ",
"ZIIZIII",
"IIIZIZI",
"ZIIIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
-1.25,
-1.75,
-1,
-1.75,
-1.75,
4.25,
-1.75,
-0.5,
-1.75,
-0.75,
-1,
-1.75,
-1,
-0.25,
3,
-3.5,
0.75,
4,
-3
] |
b5e7e2797d8b3a448650a56d35ed7f4a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "source": 2, ... | {"states": [21, 1], "expectation_value": -0.8595006789201279, "params": [[0.0673, 0.0152], [-0.0646, -0.0351]], "bitstrings": ["11101010", "11111110"], "total_optimization_steps": 10, "probabilities": [0.0061199731222954645, 0.006643409174130552], "optimization_time": 3.2251765727996826} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -2.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -1.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + -0.75 * Z(6) + -0.75... | 1 | 8 | 2 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(-0.0673) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0336) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0673) q[3];
cx q[0], q[3];
cx q[2], q[6];
rz(-0.3029) q[6];
cx q[2], q[6];
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] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IZIIIZII",
"IZIIIIIZ",
"IIIIIZZI",
"IIIZIZII",
"IZIZIIII",
"IIZIZIII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-0.5,
-0.25,
-0.5,
-2.25,
-0.5,
-0.75,
-1.75,
-0.5,
-0.75,
1.75,
-0.25,
0.5,
-0.25,
0.5,
-0.75,
-0.75,
0,
-0.75,
1.5
] |
401c13a1ccbde8a868c526c64a107baa | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 4, "source": 2, "target": 3}, {"weight": 14, "source": 2, "target": 4}, {"weight": ... | {"states": [250, 186], "expectation_value": -91.98376832056209, "params": [0.003, -0.46240000000000003, -0.0002, -0.5583, -0.0026000000000000003, 0.4514, -0.006500000000000001, 0.4451, 0.7927000000000001, 0.1839, 0.7871, 0.1409, 0.3766, -0.2131, 0.3794, -0.23500000000000001, 0.7869, 0.1626, 0.794, 0.1134, 0.78670000000... | 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(5)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(4)) + 5.5 * (Z(9) @ Z(8)) + 12.5 * Z(2) + -3.5 * Z(1) + 14.5 *... | 5 | 10 | 2 | {"smallest_eigenvalues": [-97.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.5, "smallest_bitstrings": ["1101000101"], "largest_eigenvalue": 172.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.003) q[0];
rz(-0.4624) q[0];
rx(-0.0026) q[1];
rz(0.4514) q[1];
rx(0.7927) q[2];
rz(0.1839) q[2];
rx(0.3766) q[3];
rz(-0.2131) q[3];
rx(0.7869) q[4];
rz(0.1626) q[4];
rx(0.7867) q[5];
rz(0.1749) q[5];
rx(0.7894) q[6];
rz(0.1689) q[6];
rx(0.325) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIZIZII",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IZIIZIIIII",
"IZZIIIIIII",
"ZIIIIZIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
12.5,
-3.5,
14.5,
14,
19,
11.5,
8.5,
12,
2,
-10.5
] |
97aa58ef0b431934bfaa14698e7612e3 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [18, 26], "expectation_value": -1.2608147270815686, "params": [0.5619000000000001, 0.1393, 0.5524, 0.1401, 0.801, 0.0033, 0.8002, 0.0054, 0.0028, -0.4555, 0.805, 0.0034000000000000002, 0.0028, 0.5940000000000001, 0.5695, 0.0022, 0.5585, 0.0026000000000000003, 0.7981, 0.0076, 0.7997000000000001, 0.0038, 0.002... | 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(5)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(4) @ Z(3)) + 0.0625 * (Z(5) @ Z(3)) + 0.0625 * (Z(6) @ Z(3)) + 0... | 18 | 7 | 2 | {"smallest_eigenvalues": [-2.8125, -2.8125, -2.8125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.8125, "smallest_bitstrings": ["0101101", "1100101", "1000111"], "largest_eigenvalue": 5.1875} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.5619) q[0];
rz(0.1393) q[0];
rx(0.5524) q[1];
rz(0.1401) q[1];
rx(0.801) q[2];
rz(0.0033) q[2];
rx(0.8002) q[3];
rz(0.0054) q[3];
rx(0.0028) q[4];
rz(-0.4555) q[4];
rx(0.805) q[5];
rz(0.0034) q[5];
rx(0.0028) q[6];
rz(0.594) q[6];
crz(-0.5768) q[6], q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IZIIIZI",
"IIIZZII",
"IIZIZII",
"IZIIZII",
"ZIIIZII",
"IIZZIII",
"IZIZIII",
"ZIIZIII",
"IZZIIII",
"ZIZIIII",
"ZZIIIII",
"IIZZZII",
"IZIZZII",
"ZIIZZII",
"IZZIZII",
"ZIZIZII",
"ZZIIZII",
"IZZZIII",
"ZIZZIII",
"ZZI... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
... |
878d094d83cd61d556f3c6e9e2f56136 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 5, "source": 2, ... | {"states": [31, 63], "expectation_value": -11.672739320676886, "params": [-0.011300000000000001, 1.1648, -0.0057, 1.0897000000000001, -0.18630000000000002, 1.1184, 0.3936, 0.8394, -0.6451, 1.5747, 0.7861, 0.1446, 1.0563, -0.1332, 0.7721, 0.0054, 0.0057, 0.8385, 0.0086, 0.9126000000000001, 0.0728, 0.6199, 0.1345, 0.8187... | -1.25 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.5 * (Z(6) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(3) @ Z(5)) + -0.75 * (Z(4) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -1.0 * (Z(7) @ Z(5)) + -0.75 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -2.5 * Z(1) + -... | 4 | 8 | 4 | {"smallest_eigenvalues": [-13.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.25, "smallest_bitstrings": ["11000000"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0113) q[0];
rz(1.1648) q[0];
rx(-0.0057) q[1];
rz(1.0897) q[1];
rx(-0.1863) q[2];
rz(1.1184) q[2];
rx(0.3936) q[3];
rz(0.8394) q[3];
rx(-0.6451) q[4];
rz(1.5747) q[4];
rx(0.7861) q[5];
rz(0.1446) q[5];
rx(1.0563) q[6];
rz(-0.1332) q[6];
rx(0.7721) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IZIIIIZI",
"IIZIIIZI",
"IIZIIZII",
"IZZIIIII",
"IIZIZIII",
"IIIZZIII",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIZIIIII",
"ZIIIZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII"
] | [
-1.25,
-1,
-1.5,
-0.25,
-1.25,
-1.25,
-1,
-0.75,
2.5,
-0.5,
-1,
-0.75,
-0.25,
-2.5,
-0.25,
0.25,
2.75,
-0.25,
0.5,
-0.5,
0
] |
fd959b015d7c5b50b2cd05831ed95a60 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [53, 61], "expectation_value": -0.9322641200216683, "params": [-0.0021000000000000003, 0.0064, 1.4857, 0.0016, 1.7075, 0.009600000000000001, 1.7047, 0.0059, 1.6268, 0.0046, 1.7119, 0.0058000000000000005, 0.9007000000000001, 0.0091, 1.7114, 0.0016, 0.0063, 0.004, 0.0006000000000000001, 0.004200000000000001, 0... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ Z(5)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(2) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(2) @ Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["11000010", "10101000"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0021) q[0];
rz(0.0064) q[0];
rx(1.4857) q[1];
rz(0.0016) q[1];
rx(1.7075) q[2];
rz(0.0096) q[2];
rx(1.7047) q[3];
rz(0.0059) q[3];
rx(1.6268) q[4];
rz(0.0046) q[4];
rx(1.7119) q[5];
rz(0.0058) q[5];
rx(0.9007) q[6];
rz(0.0091) q[6];
rx(1.7114) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIZZZI",
"IIIZIIZI",
"IIZIIIZI",
"IIZZIIII",
"IIZZIIZI",
"IZIIIZII",
"ZIIIIZII",
"ZZIIIIII",
"ZZIIIZII",
"IZIZIIII",
"IIIIZIIZ",
"IIZIIIIZ",
"ZIIIIIIZ",
"IIZIZIII",
"ZIIIZIII",
"ZIZIIIII",
"IIZIZIIZ",
"ZIIIZIIZ",
"ZIZIIIIZ",
"ZIZIZII... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.625,
0,
0,
0.125,
-0.25,
0.125,
-0.25,
0.125
] |
cde6b48ed870286595c1455af7aff8bd | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [234, 170], "expectation_value": -0.15144635070297932, "params": [0.8945000000000001, 0.8862, 0.8644000000000001, 0.8834000000000001, 0.8928, 0.8902, 0.7292000000000001, 0.6925, 0.8997, 0.8946000000000001, 0.6449, 0.6657000000000001, 0.9032, 0.8936000000000001, 0.6653, 0.6753, 0.8945000000000001, 0.509, 0.54... | 0.25 * (Z(0) @ Z(1)) + 0.0006944444444444445 * (Z(2) @ Z(0)) + 0.0006944444444444445 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0020833333333333333 * (Z(4) @ Z(0)) + -0.0020833333333333333 * (Z(4) @ Z(2)) + -0.0020833333333333333 * (Z(5) @ Z(1)) + -0.0020833333333333333 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00069... | 14 | 8 | 1 | {"smallest_eigenvalues": [-1.0083333333333333, -1.0083333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0055555555555555, "smallest_bitstrings": ["01010101", "10101010"], "largest_eigenvalue": 1.0250000000000001} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.8945) q[0];
ry(0.8644) q[1];
ry(0.8928) q[2];
ry(0.7292) q[3];
ry(0.8997) q[4];
ry(0.6449) q[5];
ry(0.9032) q[6];
ry(0.6653) q[7];
crx(0.8945) q[7], q[0];
crx(-0.721) q[6], q[7];
crx(0.8917) q[5], q[6];
crx(-0.6907) q[4], q[5];
crx(0.885) q[3], q[4];
crx(... | OPENQASM 3.0;
include "stdgates.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[... | {"communities_size": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIIIZ",
"IZIIIZII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
0.25,
0.0006944444444444445,
0.0006944444444444445,
0.25,
-0.0020833333333333333,
-0.0020833333333333333,
-0.0020833333333333333,
-0.0020833333333333333,
0.25,
0.0006944444444444445,
0.0006944444444444445,
-0.0020833333333333333,
0.0006944444444444445,
0.0006944444444444445,
-0.002083333... |
98ff52dd3a46eb29e6baf499c47cc739 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [24, 9], "expectation_value": -0.8414795673598968, "params": [[-0.06330000000000001, -0.062400000000000004, -0.0655, -0.08320000000000001], [0.0698, 0.0678, 0.0634, 0.0719]], "bitstrings": ["00111", "10110"], "total_optimization_steps": 10, "probabilities": [0.05214460413039682, 0.05214460413039684], "optimi... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["00111", "11010", "10110", "01011"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(-0.0633) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.0633) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.0633) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(-0.0633) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.0633) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IZIIZ",
"ZZIII",
"ZIIIZ",
"IZIZI",
"IZZII",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-0.5,
-0.5
] |
7bc4dde9a09d0b94c5097b219891d81a | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 2}]} | {"states": [0, 9], "expectation_value": -2.2499055589377397, "params": null, "bitstrings": ["1111", "0110"], "total_optimization_steps": 12, "probabilities": [1.730029747643551e-05, 0.9999393551708786], "optimization_time": 5.2690229415893555} | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.25 * Z(3) + -0.75 * Z(2) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["0110"], "largest_eigenvalue": 3.75} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-1.5486) q[2];
ry(-1.4449) q[1];
ry(1.4416) q[3];
ry(1.4416) q[0];
cry(-0.1259) q[3], q[1];
cry(0.1218) q[3], q[0];
cry(0.1214) q[0], q[3];
cry(-0.0222) q[3], q[2];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5486) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IIZZ",
"ZIIZ",
"IZIZ",
"ZZII",
"ZZIZ",
"ZIZI",
"IIIZ",
"IIZI",
"ZIII",
"IZII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
-0.5,
-0.25,
-0.75
] |
0880db631f670f7f3ca0bd5d242b72c4 | 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": [7, 3], "expectation_value": -25.026726015132176, "params": [[[0.10500000000000001, 0.002], [0.00030000000000000003, 0.0082], [0.1042, 0.008400000000000001], [0.3695, 0.0098], [1.5229000000000001, 0.0098], [1.8023, 0.0074], [1.7922, 0.0028]]], "bitstrings": ["1111000", "1111100"], "total_optimization_steps":... | 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)) + 2.75 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.105) q[0];
rz(0.002) q[0];
rx(0.0003) q[1];
rz(0.0082) q[1];
rx(0.1042) q[2];
rz(0.0084) q[2];
rx(0.3695) q[3];
rz(0.0098) q[3];
rx(1.5229) q[4];
rz(0.0098) q[4];
rx(1.8023) q[5];
rz(0.0074) q[5];
rx(1.7922) q[6];
rz(0.0028) q[6];
c[0] = measure q[0];
c[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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | {"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,
2.75,
3,
2.75,
3,
3,
2.75,
2.75,
3,
3,
3,
3,
-10.5,
-10.25,
-10.25,
-10,
-10,
-9.5,
-9.5
] |
dba6edf645eaaf1a507a17055e7164ef | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [762, 250], "expectation_value": -2.654091098323333, "params": [[[0.6939000000000001, 0.0819, 0.0004, 0.0004], [0.6785, 0.1447, 0.1584, -0.18430000000000002], [0.09140000000000001, 0.2541, 0.0959, 0.22240000000000001], [-0.006, 0.1799, 0.24500000000000002, 0.3311], [0.22820000000000001, -0.5567, 0.0627, -0.6... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 11 | 10 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.25, "smallest_bitstrings": ["1010001001", "0100110100", "0010011001", "0001101100", "0011101000", "010... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.6939) q[0];
rz(0.0819) q[0];
ry(0.6785) q[1];
rz(0.1447) q[1];
ry(0.0914) q[2];
rz(0.2541) q[2];
ry(-0.006) q[3];
rz(0.1799) q[3];
ry(0.2282) q[4];
rz(-0.5567) q[4];
ry(-0.0012) q[5];
rz(-0.5962) q[5];
ry(-0.2352) q[6];
rz(0.6911) q[6];
ry(0.0996) 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": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIIIZZIIIZ",
"IIIZIIIIZI",
"IIZZIIIIII",
"IIZIIIIZII",
"IZIIIIIZII",
"IZZIIIIIII"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
-0.125,
0.12... |
fe37a95fb62cde91e69aee116b6773bd | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 2}, {"weight": 11, "source": 0, "target": 4}, {"weight": 20, "source": 1, "tar... | {"states": [124, 236], "expectation_value": -28.95805958685711, "params": null, "bitstrings": ["110000011", "100010011"], "total_optimization_steps": 100, "probabilities": [0.058440211323662096, 0.1871033169533792], "optimization_time": 186.97690725326538} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 165.5} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(3.0513) q[1];
ry(0.1056) q[5];
ry(-13.8995) q[6];
ry(22.4309) q[4];
cry(-63.0965) q[8], q[1];
cry(-62.6511) q[7], q[1];
ry(62.9285) q[2];
cry(-62.8921) q[3], q[1];
cry(-49.6335) q[5], q... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(3.0513) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"ZIZIIIIII",
"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,
21.5,
5.5,
14.5,
10,
11.5,
19.5,
16,
1,
-1.5
] |
7dd0a85ae083861a7e6473750beb50c4 | 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": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [38, 25], "expectation_value": -0.6162098207653888, "params": [[-0.0477, -0.0308, -0.029300000000000003, -0.0228], [0.0692, 0.046200000000000005, 0.0307, 0.0238]], "bitstrings": ["1011001", "1100110"], "total_optimization_steps": 10, "probabilities": [0.01074807641128532, 0.011132707188077445], "optimization... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101100", "1100110", "1011001", "1111000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.0477) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0477) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0477) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.0477) q[3];
cx q[0], q[3];
cx q[0], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIIZ",
"IZIIIIZ",
"IZIZIII",
"ZIIIIZI",
"ZIIIIIZ",
"IIZIZII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2,
-1,
-1,
-0.5,
-0.5,
-0.5
] |
af7ff602e385e2b324d14d3396a2867f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 6}]} | {"states": [0, 16], "expectation_value": -2.6537930486112806, "params": [[[0.30560000000000004, 0.0024000000000000002, 0.0053, 0.0005], [0.2987, 0.0002, 0.2994, 0.0009000000000000001], [-0.0029000000000000002, 0.22490000000000002, 0.008400000000000001, 0.23120000000000002], [-0.0017000000000000001, 0.2273, -0.002900000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(1) @ Z(4) @ Z(5)) + -0.25 * Z(0) + -0.25 * Z(1) + -0.75 * Z(2) + -0.75 * Z(3) + -0.75 * Z(4) + -0.75 * Z(5) | 12 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["101111", "011111"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(0.3056) q[0];
rz(0.0024) q[0];
ry(0.2987) q[1];
rz(0.0002) q[1];
ry(-0.0029) q[2];
rz(0.2249) q[2];
ry(-0.0017) q[3];
rz(0.2273) q[3];
ry(-0.003) q[4];
rz(0.2451) q[4];
ry(-0.0064) q[5];
rz(0.0018) q[5];
cz q[1], q[0];
cz q[3], q[2];
cz q[5], q[4];
ry(0.299... | OPENQASM 3.0;
include "stdgates.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",
"IIZIIZ",
"IIZZII",
"IIZZIZ",
"IZIIZI",
"ZIIIZI",
"ZZIIII",
"ZZIIZI",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.75,
-0.75,
-0.75
] |
117868407919961854 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4, 5], [0, 1, 5, 7], [1, 4, 6], [1, 5, 6], [3, 4], [0, 1, 3, 6], [2, 3, 6], [0, 4]]} | {"states": [150, 244], "expectation_value": -0.07909657694591712, "params": [[-0.0734], [0.0784]], "bitstrings": ["01101001", "00001011"], "total_optimization_steps": 10, "probabilities": [0.004262736689987156, 0.004287679461669412], "optimization_time": 2.8135640621185303} | 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.25 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(5)) + 0.0833333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.333333333333333, "smallest_bitstrings": ["00001011"], "largest_eigenvalue": 6.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[2];
rz(-0.0245) q[2];
cx q[4], q[2];
cx q[4], q[5];
rz(-0.0245) q[5];
cx q[4], q[5];
cx q[2], q[5];
rz(-0.0245) q[5];
cx q[2], q[5];
cx q[4], q[0];
rz(-0.0734) q[0];
cx q[4], q[0];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZII",
"IIZZIIII",
"IIZIIZII",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIZIIZI",
"IIZIIIZI",
"IIIIIIZZ",
"ZIZIIIII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IZIZIIII",
"IZIIIZII",
"IZZIIIII",
"IZIIIIIZ",
"IZIIIIZI",
"IIIZZIII",
"IIIIZZII",
"IIIIZIIZ",
"IIIIZIZI",
"IZIIZIII",
"IIIZIIII",
"IIIIIZI... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.08333333333333333,
0.16666666666666666,
0.25,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.... |
-524745625569635420 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[11, 7], [0, 1, 2, 3, 4, 5, 6, 7, 8, 10], [8, 3, 11], [9, 6], [0, 2, 3, 7, 8, 9], [9, 10, 4, 1], [2, 11], [11, 4, 6], [0, 7, 8, 9, 10], [11, 5]]} | {"states": [3838, 1790], "expectation_value": -2.8179353962199314, "params": [[[1.4777, 0.0017000000000000001], [1.8075, 0.003], [3.0781, 0.006], [0.46440000000000003, 0.0009000000000000001], [2.8731, 0.0005], [3.0943, 0.0066], [3.0882, 0.0058000000000000005], [2.4987, 0.0027], [2.6285000000000003, 0.0094], [3.0943, 0.... | 0.5 * (Z(3) @ Z(9)) + 0.09444444444444444 * (Z(0) @ Z(9)) + 0.011111111111111112 * (Z(1) @ Z(9)) + 0.011111111111111112 * (Z(1) @ Z(0)) + 0.044444444444444446 * (Z(4) @ Z(9)) + 0.5 * (Z(4) @ Z(3)) + 0.044444444444444446 * (Z(4) @ Z(0)) + 0.011111111111111112 * (Z(4) @ Z(1)) + 0.044444444444444446 * (Z(5) @ Z(9)) + 0.16... | 1 | 12 | 1 | {"smallest_eigenvalues": [-3.416666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.3888888888888884, "smallest_bitstrings": ["100100000001"], "largest_eigenvalue": 7.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.4777) q[0];
rz(0.0017) q[0];
rx(1.8075) q[1];
rz(0.003) q[1];
rx(3.0781) q[2];
rz(0.006) q[2];
rx(0.4644) q[3];
rz(0.0009) q[3];
rx(2.8731) q[4];
rz(0.0005) q[4];
rx(3.0943) q[5];
rz(0.0066) q[5];
rx(3.0882) q[6];
rz(0.0058) q[6];
rx(2.4987) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIIZIII",
"IIZIIIIIIIIZ",
"IIZIIIIIIIZI",
"IIIIIIIIIIZZ",
"IIZIIIIZIIII",
"IIIIIIIZZIII",
"IIIIIIIZIIIZ",
"IIIIIIIZIIZI",
"IIZIIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZIIIIZ",
"IIIIIIZIIIZI",
"IIIIIIZZIIII",
"IIZIIZIIIIII",
"IIIIIZIIZIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIIZI",
"IIIIIZIZI... | [
0.5,
0.09444444444444444,
0.011111111111111112,
0.011111111111111112,
0.044444444444444446,
0.5,
0.044444444444444446,
0.011111111111111112,
0.044444444444444446,
0.16666666666666666,
0.044444444444444446,
0.011111111111111112,
0.044444444444444446,
0.011111111111111112,
0.16666666666666... |
03712c0a7ea12e35e919372d71f32a47 | 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": 10}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 1, "source":... | {"states": [2048, 2047], "expectation_value": -17.043409494731446, "params": [[[0.0046, -0.019100000000000002], [-0.0018000000000000002, -0.0022], [0.0025, -0.003], [0.0032, -0.003], [0.2499, -0.0019], [-0.003, -0.0021000000000000003], [0.0051, -0.0027], [0.0004, -0.0031000000000000003], [0.0059, -0.0031000000000000003... | -0.25 * (Z(0) @ Z(2)) + -1.0 * (Z(5) @ Z(2)) + -2.0 * (Z(1) @ Z(5)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(8) @ Z(5)) + -0.75 * (Z(4) @ Z(8)) + -0.75 * (Z(9) @ Z(2)) + -1.0 * (Z(9) @ Z(5)) + -0.25 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(4)) + -1.0 * (Z(11) @ Z(5)) + -0.25 * (Z(11) @ Z(1)) + -0.75 * (Z(11) @ Z(6)) + -0.5 * (Z(1... | 15 | 12 | 2 | {"smallest_eigenvalues": [-17.75, -17.75, -17.75, -17.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -16.75, "smallest_bitstrings": ["100000000000", "100000010000", "100000100000", "100000110000"], "largest_eigenvalue": 18.25} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0046) q[0];
ry(-0.0018) q[1];
ry(0.0025) q[2];
ry(0.0032) q[3];
ry(0.2499) q[4];
ry(-0.003) q[5];
ry(0.0051) q[6];
ry(0.0004) q[7];
ry(0.0059) q[8];
ry(0.0026) q[9];
ry(-0.0032) q[10];
ry(1.6821) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZ",
"IIIIIIZIIZII",
"IIIIIIZIIIZI",
"IIIIIZIIIIZI",
"IIIZIIZIIIII",
"IIIZIIIZIIII",
"IIZIIIIIIZII",
"IIZIIIZIIIII",
"IIZIIZIIIIII",
"IIZIIIIZIIII",
"ZIIIIIZIIIII",
"ZIIIIIIIIIZI",
"ZIIIIZIIIIII",
"ZIIIIIIZIIII",
"IIIIIIIIZIIZ",
"IIIIIIZIZIII",
"IIIZIIIIZIII",
"IIIIIIIZZ... | [
-0.25,
-1,
-2,
-0.25,
-1,
-0.75,
-0.75,
-1,
-0.25,
-0.5,
-1,
-0.25,
-0.75,
-0.5,
0.5,
-0.75,
-0.5,
-0.25,
-0.25,
-0.75,
-0.5,
-0.5,
-1,
-0.75,
-1,
-0.25,
-0.5,
-0.75,
-0.25,
-0.5,
0,
-1.25,
1.25,
2,
-0.25,
3,
-1.75,
0.25,
-1.75
] |
f848d40cbfa43815a8aa73d15a4c0574 | 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": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 3}, {"source": 3, "target": 6}, {"source": 3, "target": 4}]} | {"states": [90, 87], "expectation_value": -4.240627747574098, "params": null, "bitstrings": ["0100101", "0101000"], "total_optimization_steps": 36, "probabilities": [0.08262566223526219, 0.8263846024559105], "optimization_time": 27.507599353790283} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(5) + -1.0 * Z(3) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101000"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(-1.5708) q[1];
cry(-1.4449) q[6], q[3];
ry(1.4449) q[2];
ry(1.4449) q[0];
ry(1.4449) q[5];
ry(0.8256) q[6];
ry(-0.5508) q[3];
cry(1.321) q[6], q[4];
cry(0.4133) q[5], q[6];
cry(-0.1332) q[4], q[3];
ry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IZIIIZI",
"IIIZIZI",
"ZIIZIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIIZIII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
0,
0,
-1,
0,
0
] |
9537b03a0720fea9486a83164aae2375 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 4, "source": 1, "target": 4}, {"capaci... | {"states": [62, 1], "expectation_value": -2.9464823438570074, "params": [[0.029500000000000002, -0.049, -0.043500000000000004, -0.055600000000000004], [-0.0766, 0.0131, 0.036500000000000005, 0.0579]], "bitstrings": ["000001", "111110"], "total_optimization_steps": 10, "probabilities": [0.03230709714135196, 0.0379340807... | -1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -1.75 * (Z(2) @ Z(3)) + -3.5 * (Z(2) @ Z(4)) + 3.25 * (Z(5) @ Z(0)) + -1.75 * (Z(5) @ Z(4)) + 0.0 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.75 * Z(4) + -1.25 * Z(2) + 1.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-15.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.25, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.0885) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.059) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0885) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.059) q[4];
cx q[1], q[4];
cx q[1], q[2];
rz(-0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IIIZZI",
"IIZZII",
"IZIZII",
"ZIIIIZ",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
-1.5,
-1,
-1.5,
-1,
-0.5,
-1.75,
-3.5,
3.25,
-1.75,
0,
-0.25,
-0.75,
0.75,
-1.25,
1.5
] |
f633ba6dc718e85c60c8fced247d835c | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "... | {"states": [127, 511], "expectation_value": -0.973239332810802, "params": [[-0.0565], [0.0708]], "bitstrings": ["111110000000", "111000000000"], "total_optimization_steps": 10, "probabilities": [0.0003710327589249649, 0.0003826135042184845], "optimization_time": 2.368314504623413} | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(9)) + 0.5 * (Z(10) @ Z(9)) + -2.0 * (Z(10) @ Z(8)) + 0.5 * (Z(11) @ Z(9)) + -2.0 * (Z(11) @ Z(8)) + 0.5 * (Z(11) @ Z(10)) + -1.5 * Z(1) + -1.5 *... | 1 | 12 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["111000000000"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(0.226) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.113) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.226) q[2];
cx q[0], q[2];
cx q[4], q[3];
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;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZZIII",
"IIIIIZZIIIII",
"IIIIZZIIIIII",
"IIIIZIZIIIII",
"IIZZIIIIIIII",
"IZZIIIIIIIII",
"IZIZIIIIIIII",
"ZIZIIIIIIIII",
"ZIIZIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIZIIII",
"IIIIIIIIZ... | [
-2,
1,
-2,
-1,
-1.5,
-1.5,
0.5,
-2,
0.5,
-2,
0.5,
-2,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] |
9aafe0580999b1b0b4b8e8eda0d2bc18 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [18, 3], "expectation_value": -15.361953434616456, "params": null, "bitstrings": ["101101", "111100"], "total_optimization_steps": 50, "probabilities": [0.10929342150093539, 0.6388706778346432], "optimization_time": 49.218581438064575} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 10 | 6 | 3 | {"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";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-0.069) q[0];
ry(-0.1999) q[1];
ry(-0.3716) q[2];
ry(-0.8892) q[3];
cry(-1.199) q[5], q[2];
cry(-1.5018) q[4], q[0];
cry(-1.3709) q[5], q[1];
ry(0.9839) q[4];
cry(-0.6816) q[4], q[3];
ry(0.5496) q[5];
cry(-0.4... | null | {"k": 4} | {"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(-0.069) 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 \"stdgat... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
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,
-5.75,
-6,
-5.75,
-5.75,
-5.5,
-5.25
] |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | kclique | adaptive_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": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 3}, {"source": ... | {"states": [21, 7], "expectation_value": -6.592440922385128, "params": null, "bitstrings": ["101010", "111000"], "total_optimization_steps": 55, "probabilities": [0.1059757887840329, 0.601976266942785], "optimization_time": 60.81101202964783} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 18 | 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";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.5708) q[3], q[0];
ry(0.8148) q[3];
cry(-1.5707) q[5], q[2];
ry(0.8063) q[5];
cry(-1.5708) q[4], q[1];
ry(0.7992) q[4];
ry(-0.3673) q[0];
ry(-0.2927) q[2];
cry(0.4403) q[4], q[3];
cry(-0.3263) q[3], q[1];
c... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
2,
2,
1.75,
2,
1.75,
2,
2,
1.75,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5
] |
b4844a241e7c75ea7eb690acd3c4c004 | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 2}, {"weight": 7, "source": 1, "target": 2}]} | {"states": [1, 0], "expectation_value": -0.049799488779393664, "params": [[-0.0257, -0.028900000000000002, -0.033800000000000004, -0.061000000000000006], [0.0235, 0.0245, 0.030600000000000002, 0.053700000000000005]], "bitstrings": ["0", "1"], "total_optimization_steps": 10, "probabilities": [0.47510025561030267, 0.5248... | -1.0 * Z(0) | 1 | 1 | 4 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": 1.0, "smallest_bitstrings": ["1"], "largest_eigenvalue": 1.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[1] c;
qubit[1] q;
h q[0];
rz(0.0514) q[0];
h q[0];
rz(0.047) q[0];
h q[0];
rz(0.0578) q[0];
h q[0];
rz(0.049) q[0];
h q[0];
rz(0.0676) q[0];
h q[0];
rz(0.0612) q[0];
h q[0];
rz(0.122) q[0];
h q[0];
rz(0.1074) q[0];
h q[0];
c[0] = measure q[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;
bit[1] c;
qubit[1] q;
h q[0];
rz(x0) q[0];
h q[0];
rz(x1) q[0];
h q[0];
rz(x2) q[0];
h q[0];
rz(x3) q[0];
h q[0];
rz(x4) q... | {"start_node": 0, "end_node": 2} | {"circuits": [], "gradients": []} | [
"Z"
] | [
-1
] |
ce32d04906c10b35aef772d26e0a291a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 5, "source": 0, "target": 5}, {"capacity": 6, "source": 0, "target": 9}, {"capacity": 6, "source": 1, "target":... | {"states": [0, 256], "expectation_value": -25.05123333448984, "params": [0.0012000000000000001, 0.0002, 0.0036000000000000003, 0.007, 0.20020000000000002, 0.20500000000000002, 0.0054, 0.0039000000000000003, 0.0053, 0.0009000000000000001, 0.0054, -0.002, -0.0009000000000000001, 0.0067, 0.0028, 0.0046, 0.0039000000000000... | -1.25 * (Z(0) @ Z(6)) + -1.5 * (Z(10) @ Z(6)) + -1.5 * (Z(10) @ Z(0)) + -2.25 * (Z(5) @ Z(10)) + -2.0 * (Z(1) @ Z(5)) + 3.0 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(6)) + -1.25 * (Z(4) @ Z(10)) + -0.5 * (Z(4)... | 14 | 11 | 4 | {"smallest_eigenvalues": [-26.0, -26.0, -26.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -25.0, "smallest_bitstrings": ["11001110111", "11011110111", "11011111111"], "largest_eigenvalue": 26.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0012) q[0];
ry(0.0036) q[1];
ry(0.2002) q[2];
ry(0.0054) q[3];
ry(0.0053) q[4];
ry(0.0054) q[5];
ry(-0.0009) q[6];
ry(0.0028) q[7];
ry(0.0039) q[8];
ry(-0.0015) q[9];
ry(0.002) q[10];
crx(0.1531) q[10], q[0];
crx(0.1265) q[9], q[10];
crx(0.1532) q[8], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZ",
"ZIIIZIIIIII",
"ZIIIIIIIIIZ",
"ZIIIIZIIIII",
"IIIIIZIIIZI",
"IIIIIIIIZIZ",
"IIIIIZIIZII",
"IIIIIIIIZZI",
"IIIIZIIZIII",
"IIIIIZIZIII",
"IIIIIIIZIZI",
"IIIIZIZIIII",
"ZIIIIIZIIII",
"IIIIIIZZIII",
"IIIZZIIIIII",
"ZIIZIIIIIII",
"IIIZIIIIZII",
"IIIZIIIZIII",
"IIIZIIZII... | [
-1.25,
-1.5,
-1.5,
-2.25,
-2,
3,
-0.75,
-1,
-0.25,
-0.25,
-0.5,
-0.5,
-1.25,
-0.5,
-0.25,
-0.75,
-0.75,
-1.5,
-1.25,
-1.5,
-1,
-1.5,
-1.25,
-0.25,
-1,
-1.25,
-1.25,
2.25,
-0.25,
-3.5,
-1,
0,
0.5,
0,
-3,
4.25,
0.25,
0.5
] |
6e246b4f8b043e471629ebc1af4389e8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capac... | {"states": [0, 1], "expectation_value": -19.881558746244632, "params": [-0.016900000000000002, -0.025900000000000003, -0.0094, 0.0247, 0.0051, 0.11950000000000001, 0.0007, 0.1598, 0.0039000000000000003, 0.1593, 0.0035, 0.1603, 0.0044, 0.1479, -0.0021000000000000003, 0.1683, 0.0044, 0.1091, 0.004, 0.1114, -0.00060000000... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(3)) + -0.5 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ ... | 6 | 10 | 4 | {"smallest_eigenvalues": [-22.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.25, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 21.75} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0169) q[0];
rz(-0.0259) q[0];
rx(0.0051) q[1];
rz(0.1195) q[1];
rx(0.0039) q[2];
rz(0.1593) q[2];
rx(0.0044) q[3];
rz(0.1479) q[3];
rx(0.0044) q[4];
rz(0.1091) q[4];
rx(-0.0006) q[5];
rz(0.1607) q[5];
rx(-0.0001) q[6];
rz(0.1624) q[6];
rx(0.0015) 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... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIZIIIIIIZ",
"IIZIIIIZII",
"IIZIIIZIII",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IZIIIIZIII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIZIIZIIII",
"IZIIIZIIII",
"IIIIZIIIZI",
"IIIIZIIZII",
"IIIIZIZIII",
"IZIIZIIIII",
"IIIIZZIIII"... | [
-0.25,
-0.5,
-1,
-0.75,
-0.5,
-1,
-0.75,
-0.75,
-0.5,
-0.5,
-0.75,
-0.5,
-1,
-0.25,
-1,
-0.25,
-1.75,
-1.25,
-1.5,
-0.25,
3.25,
-1,
-0.25,
-1.25,
-0.5,
-1,
-0.75,
-0.75,
0.75,
-0.25,
-0.5,
-1.5,
0.5,
-2.75,
-1,
2.75,
1.25,
0.75
] |
520b4019fb4986d4ab684733a5ebe8d8 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 6}, {"weight": 18, "source": 1, "target": 5}, {"weight": 9, "source": 2, "targ... | {"states": [249, 220], "expectation_value": -6.444002440700621, "params": [[-0.031200000000000002, -0.0177], [0.0322, 0.0158]], "bitstrings": ["100000110", "100100011"], "total_optimization_steps": 10, "probabilities": [0.003077468889976927, 0.0033582354107912814], "optimization_time": 3.3416640758514404} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(6)) + 10.0 * Z(1) + 3.0 * Z(0) + 13.5 * Z(2) + 13.0 * Z(4) + 9... | 1 | 9 | 2 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 136.5} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.2808) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.2808) q[2];
cx q[0], q[2];
cx q[2], q[4];
rz(-0.2808) q[4];
cx q[2], q[4];
cx q[4], q[3];
rz(-0.2808) q[3];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIZIIZIII",
"IIIZIZIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
3,
13.5,
13,
9,
10,
12.5,
6.5,
5
] |
4965005710375246769 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 3, 4, 5, 9], [3, 5, 7, 9, 10], [3, 5, 6, 7, 8, 10], [8, 1, 7], [1, 3, 4, 7], [10, 4, 7], [0, 9, 5, 8], [0, 1, 3, 5, 6, 7], [0, 4, 5], [0, 9, 10, 6], [2, 3, 4, 5, 6], [9, 3, 1, 7], [0, 10, 7], [1, 2, 3, 6, 9, 10], [8, 10, 4], [10, 2, 4, 6]]} | {"states": [990, 1502], "expectation_value": -2.6383346218974726, "params": [[[1.3963, -0.4037, 0.0074, 0.0073], [1.3788, -0.4048, 0.3804, 0.0027], [1.2104000000000001, 0.35760000000000003, 1.3777000000000001, 0.0058000000000000005], [0.44720000000000004, 0.5552, 0.26630000000000004, 0.0066], [1.3902, 0.0173, 1.3899000... | 0.2833333333333333 * (Z(1) @ Z(3)) + 0.18333333333333335 * (Z(4) @ Z(3)) + 0.13333333333333333 * (Z(4) @ Z(1)) + 0.21666666666666667 * (Z(5) @ Z(3)) + 0.08333333333333334 * (Z(5) @ Z(1)) + 0.26666666666666666 * (Z(5) @ Z(4)) + 0.21666666666666667 * (Z(9) @ Z(3)) + 0.16666666666666666 * (Z(9) @ Z(1)) + 0.05 * (Z(9) @ Z(... | 11 | 11 | 1 | {"smallest_eigenvalues": [-4.116666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9333333333333327, "smallest_bitstrings": ["01000100001"], "largest_eigenvalue": 15.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.3963) q[0];
rz(-0.4037) q[0];
ry(1.3788) q[1];
rz(-0.4048) q[1];
ry(1.2104) q[2];
rz(0.3576) q[2];
ry(0.4472) q[3];
rz(0.5552) q[3];
ry(1.3902) q[4];
rz(0.0173) q[4];
ry(1.3803) q[5];
rz(0.3788) q[5];
ry(1.3929) q[6];
rz(-0.0007) q[6];
ry(0.5166) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZI",
"IIIIIIZZIII",
"IIIIIIZIIZI",
"IIIIIZIZIII",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IZIIIIIZIII",
"IZIIIIIIIZI",
"IZIIIIZIIII",
"IZIIIZIIIII",
"IIIZIIIZIII",
"IIIZIIIIIZI",
"IIIZIIZIIII",
"IIIZIZIIIII",
"IZIZIIIIIII",
"ZIIIIIIZIII",
"ZIIIIIIIIZI",
"ZIIIIIZIIII",
"ZIIIIZIII... | [
0.2833333333333333,
0.18333333333333335,
0.13333333333333333,
0.21666666666666667,
0.08333333333333334,
0.26666666666666666,
0.21666666666666667,
0.16666666666666666,
0.05,
0.18333333333333335,
0.2833333333333333,
0.36666666666666664,
0.25,
0.11666666666666667,
0.13333333333333333,
0.1... |
9d8cdd3ce137f8d1d89fd1fc011d16ae | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [1750, 1751], "expectation_value": -3.355541386974536, "params": [[[-0.0025, 1.4461000000000002, 0.0048000000000000004, 0.0034000000000000002], [0.7695000000000001, -0.0112, 0.7736000000000001, 0.006], [-0.3226, 0.0176, 0.0007, 0.016], [0.3483, -0.0165, 0.8464, 0.0097], [0.1087, 0.2788, 0.0037, 0.27990000000... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(4) @ Z(1) @ Z(2)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 12 | 12 | 4 | {"smallest_eigenvalues": [-3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375], "number_of_smallest_eigenvalues": 22, "first_excited_energy": -2.9375, "smallest_bitstrings": [... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0025) q[0];
rz(1.4461) q[0];
ry(0.7695) q[1];
rz(-0.0112) q[1];
ry(-0.3226) q[2];
rz(0.0176) q[2];
ry(0.3483) q[3];
rz(-0.0165) q[3];
ry(0.1087) q[4];
rz(0.2788) q[4];
ry(0.7213) q[5];
rz(0.082) q[5];
ry(0.0033) q[6];
rz(-0.8396) q[6];
ry(0.2587) 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": []} | [
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIZIIZI",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIIIZZZI",
"IIIIIIIZIZZI",
"IIIIIIIZZIZI",
"IIIIIIIZZZII",
"IIIIIIIZZZZI",
"IIIIIIZIIIZI",
"IIIIIZIIIIZI",
"IIIIIZZIIIII",
"IIIIIZZIIIZI",
"IIIIZIZIIIII",
"IIIZIIZIIIII",
"IIIZZIIII... | [
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,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
... |
-5064463662352024584 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[4, 5], [1, 3, 5], [1, 6], [0, 2, 6], [2, 4]]} | {"states": [91, 27], "expectation_value": -1.8442160870983146, "params": [[[1.4725000000000001, 0.0089], [0.5910000000000001, 0.0039000000000000003], [3.0043, 0.0011], [2.9987000000000004, 0.0013000000000000002], [0.1736, 0.0032], [3.0018000000000002, 0.008], [2.7569000000000004, 0.003]]], "bitstrings": ["0100100", "11... | 0.5 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666663 * Z(5)... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.1666666666666665, -2.1666666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.833333333333334, "smallest_bitstrings": ["0001101", "1100100"], "largest_eigenvalue": 3.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.4725) q[0];
rz(0.0089) q[0];
rx(0.591) q[1];
rz(0.0039) q[1];
rx(3.0043) q[2];
rz(0.0011) q[2];
rx(2.9987) q[3];
rz(0.0013) q[3];
rx(0.1736) q[4];
rz(0.0032) q[4];
rx(3.0018) q[5];
rz(0.008) q[5];
rx(2.7569) q[6];
rz(0.003) q[6];
c[0] = measure q[0];
c[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] 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": []} | [
"IZZIIII",
"IZIIIZI",
"IZIZIII",
"IIIZIZI",
"ZIIIIZI",
"ZIIIIIZ",
"IIZIZII",
"ZIIIZII",
"IIIIZIZ",
"IZIIIII",
"IIZIIII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIIIIIZ",
"IIIIZII"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666663,
0,
0.16666666666666663,
0.16666666666666666,
0.16666666666666663,
0.16666666666666666,
0.16666666666666663
] |
d570f88b03391174f5c4fdc37798fafa | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [1351, 1367], "expectation_value": -1.0086746302911644, "params": [[[0.8271000000000001, -0.0061], [0.3899, 0.3022], [0.994, 0.0021000000000000003], [0.7516, -0.1265], [1.0006000000000002, 0.0004], [0.3931, -0.3005], [0.8235, -0.006200000000000001], [0.3532, -0.3291], [1.0048000000000001, -0.0006000000000000... | 0.5 * (Z(1) @ Z(0)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.25 * (Z(7) @ Z(2)) + 0.25 * (Z(9) @ Z(2)) + 0.25 * (Z(9) @ Z(7)) + -0.25 * (Z(9) @ Z(7) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(10) @ Z(0)) + 0.25 * ... | 1 | 11 | 2 | {"smallest_eigenvalues": [-4.125, -4.125, -4.125, -4.125], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.125, "smallest_bitstrings": ["10100010100", "10010011000", "01010101000", "01100100100"], "largest_eigenvalue": 7.875} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.8271) q[0];
rz(-0.0061) q[0];
rx(0.3899) q[1];
rz(0.3022) q[1];
rx(0.994) q[2];
rz(0.0021) q[2];
rx(0.7516) q[3];
rz(-0.1265) q[3];
rx(1.0006) q[4];
rz(0.0004) q[4];
rx(0.3931) q[5];
rz(-0.3005) q[5];
rx(0.8235) q[6];
rz(-0.0062) q[6];
rx(0.3532) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIIZZZII",
"IIIIZZIIIII",
"IIZZIIIIIII",
"IIIZIIIIZII",
"IZIIIIIIZII",
"IZIZIIIIIII",
"IZIZIIIIZII",
"IIIIIZIIIIZ",
"ZIIIIIIIIIZ",
"ZIIIIZIIIII",
"ZIIIIZIIIIZ",
"IIZIIIIZIII",
"IZIIIIIZIII",
"ZIIIIIIZIII",
"IZZIIIIII... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
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,
0.125,
0,
-0.25,
-0.25,
-0.25... |
4ce3f767ff46d68a338dc8273a45916a | 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": 8}, {"source": 2, "target": 10}, {"source":... | {"states": [0, 768], "expectation_value": -37.052703622271736, "params": [0.20500000000000002, 0.0036000000000000003, 1.6300000000000001, -0.0, 0.0024000000000000002, 0.0002, -0.0024000000000000002, 0.0011, -0.0024000000000000002, 0.011000000000000001, -0.0031000000000000003, 0.0, -0.0026000000000000003, 0.0064, -0.002... | -1.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(3)) + -3.5 * (Z(8) @ Z(3)) + -3.5 * (Z(8) @ Z(2)) + -3.5 * (Z(9) @ Z(3)) + -3.0 * (Z(9) @ Z(2)) + 1.5 * (Z(9) @ Z(8)) + -3.5 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(2)) + -3.5 * (Z(4) @ Z(8)) + 1.5 * (Z(4) @ Z(9)) + 1.0 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(8)) + -4.0... | 4 | 10 | 1 | {"smallest_eigenvalues": [-38.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.0, "smallest_bitstrings": ["0011111111"], "largest_eigenvalue": 36.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.205) q[0];
rz(0.0036) q[0];
rx(1.63) q[1];
rz(0) q[1];
rx(0.0024) q[2];
rz(0.0002) q[2];
rx(-0.0024) q[3];
rz(0.0011) q[3];
rx(-0.0024) q[4];
rz(0.011) q[4];
rx(-0.0031) q[5];
rz(0) q[5];
rx(-0.0026) q[6];
rz(0.0064) q[6];
rx(-0.0026) q[7];
rz(0) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IZIIIIZIII",
"IZIIIIIZII",
"ZIIIIIZIII",
"ZIIIIIIZII",
"ZZIIIIIIII",
"IIIIIZZIII",
"IIIIIZIZII",
"IZIIIZIIII",
"ZIIIIZIIII",
"IIIZIIZIII",
"IIIZIIIZII",
"IZIZIIIIII",
"ZIIZIIIIII",
"IIIZIZIIII",
"ZIIIZIIIII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIZIIIZIII"... | [
-1,
-3,
-3.5,
-3.5,
-3.5,
-3,
1.5,
-3.5,
1,
-3.5,
1.5,
1,
0.5,
1,
-4,
-4,
0.5,
0.5,
-2.5,
0.5,
0.5,
-3.5,
0.5,
1,
-3,
0.5,
0.5,
0.5,
-2.5,
2,
-3,
-3,
-2.5,
1.5,
0.5,
1
] |
37b4d7e73e68e3a0e1c4ff3b862df722 | 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": 3, "source": 0, "target": 8}, {"capacity": 1, "source": 0, "target":... | {"states": [256, 384], "expectation_value": -14.0628425102893, "params": [0.0039000000000000003, 0.23390000000000002, -0.0018000000000000002, 0.1888, 0.0039000000000000003, 0.2968, 0.0017000000000000001, 0.3015, 0.4036, -0.0081, 0.4062, -0.0059, -0.2368, -0.0016, -0.23670000000000002, -0.0047, 0.006500000000000001, 0.2... | -0.25 * (Z(0) @ Z(4)) + -0.5 * (Z(9) @ Z(4)) + -0.75 * (Z(9) @ Z(0)) + -0.25 * (Z(10) @ Z(0)) + 1.5 * (Z(2) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -0.75 * (Z(1) @ Z(9)) + -0.75 * (Z(1) @ Z(10)) + -0.75 * (Z(3) @ Z(10)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(9)) + -0.5 * (Z(6) @ Z(10)) + -0.5 * (Z... | 6 | 11 | 3 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["11001111111"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0039) q[0];
rz(0.2339) q[0];
rx(0.0039) q[1];
rz(0.2968) q[1];
rx(0.4036) q[2];
rz(-0.0081) q[2];
rx(-0.2368) q[3];
rz(-0.0016) q[3];
rx(0.0065) q[4];
rz(0.2345) q[4];
rx(0.0063) q[5];
rz(0.2975) q[5];
rx(0.0005) q[6];
rz(0.2528) q[6];
rx(0.0219) 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... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IZIIIIZIIII",
"IZIIIIIIIIZ",
"ZIIIIIIIIIZ",
"IIIIIIIIZIZ",
"IIIIIIZIIZI",
"IZIIIIIIIZI",
"ZIIIIIIIIZI",
"ZIIIIIIZIII",
"IIIIIIIZZII",
"IIIIZIZIIII",
"IZIIZIIIIII",
"ZIIIZIIIIII",
"ZIIIIZIIIII",
"IIIIIZIZIII",
"IIIIZZIIIII",
"IZZIIIIIIII",
"ZIZIIIIIIII",
"IIZIIIIII... | [
-0.25,
-0.5,
-0.75,
-0.25,
1.5,
-0.25,
-0.75,
-0.75,
-0.75,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
-1,
-0.5,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
-1,
-0.25,
0.75,
-2.75,
1,
0,
1,
-0.25,
0.25,
0.5,
0.75
] |
6452144470930976637 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 1, 3, 4], [0, 8, 6, 9], [0, 8, 2], [0, 9, 4], [1, 2, 7], [2, 3], [1, 3, 7], [6, 7], [3, 6], [0, 3, 4], [8, 1, 2, 4], [8, 4, 5]]} | {"states": [952, 855], "expectation_value": -1.7162649825081655, "params": [[-0.37320000000000003], [0.374]], "bitstrings": ["0001000111", "0010101000"], "total_optimization_steps": 40, "probabilities": [0.00636751467886543, 0.0067258852349828535], "optimization_time": 4.3051135540008545} | 0.16666666666666666 * (Z(8) @ Z(1)) + 0.25 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(4) @ Z(8)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(0) @ Z(8)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-3.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.7500000000000004, "smallest_bitstrings": ["0010101000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
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[8];
rz(-0.1244) q[8];
cx q[1], q[8];
cx q[1], q[3];
rz(-0.1866) q[3];
cx q[1], q[3];
cx q[8], q[3];
rz(-0.0622) q[3];
cx q[8], q[3];
cx q[1], q[4];
rz(-0.1244) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIIZI",
"IIIIIIZIZI",
"IZIIIIZIII",
"IIIIIZIIZI",
"IZIIIZIIII",
"IIIIIZZIII",
"IZIIIIIIIZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IZIZIIIIII",
"IIIZIIZIII",
"IIIZIIIIIZ",
"ZZIIIIIIII",
"ZIIIIZIIII",
"ZIIIIIIIIZ",
"ZIIZIIIIII",
"IIIIIIIZZI",
"IZIIIIIZII",
"IIIIIIZZII",
"IIIIIZIZII"... | [
0.16666666666666666,
0.25,
0.08333333333333333,
0.16666666666666666,
0.3333333333333333,
0.25,
0.25,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.25,
0.08333333333333333,
0.25,
0.25,
0.5,
0.0... |
94cfca1361c38868d8db09a321d069c0 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [8058, 6010], "expectation_value": -2.053875427995487, "params": [[[2.2053000000000003, 0.0018000000000000002], [1.5353, 0.0006000000000000001], [2.0409, 0.0015], [2.123, 0.0007], [2.2004, 0.0057], [0.7798, 0.009300000000000001], [2.2012, 0.009300000000000001], [2.1968, 0.0022], [2.2089000000000003, 0.0016],... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(3) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(3) @ Z(1)) + -0.125 * (Z(0) @ Z(3) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3) @ Z(1) @ Z(2)) + 0.0625 * (... | 1 | 13 | 1 | {"smallest_eigenvalues": [-4.9375, -4.9375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.9375, "smallest_bitstrings": ["0100010000101", "0010010000110"], "largest_eigenvalue": 7.0625} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(2.2053) q[0];
rz(0.0018) q[0];
rx(1.5353) q[1];
rz(0.0006) q[1];
rx(2.0409) q[2];
rz(0.0015) q[2];
rx(2.123) q[3];
rz(0.0007) q[3];
rx(2.2004) q[4];
rz(0.0057) q[4];
rx(0.7798) q[5];
rz(0.0093) q[5];
rx(2.2012) q[6];
rz(0.0093) q[6];
rx(2.1968) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZIZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIZIZI",
"IIIIIIIIIZZII",
"IIIIIIIIIIZZZ",
"IIIIIIIIIZIZZ",
"IIIIIIIIIZZIZ",
"IIIIIIIIIZZZI",
"IIIIIIIIIZZZZ",
"IIIIIIIIZIIIZ",
"IIIIIIIZIIIIZ",
"IIIIIIZIIIIIZ",
"IIIIIZIIIIIIZ",
"IIIIIIIZZIIII",
"IIIIIIZIZII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0... |
54167b50cde5b0a7a697521ad53083fa | 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": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target": 8}, {"source": 6, "target": 7}, {"sour... | {"states": [191, 63], "expectation_value": -11.53060077518469, "params": [[[1.5093, 0.0029000000000000002], [-3.1515, 0.0076], [0.0025, 0.009000000000000001], [0.002, 0.0089], [0.0023, 0.0045000000000000005], [-0.0025, 0.0012000000000000001], [0.0025, 0.0041], [3.1388000000000003, 0.0025]]], "bitstrings": ["01000000", ... | 0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(7)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(7) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(6) | 2 | 8 | 1 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["11000000"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.5093) q[0];
rz(0.0029) q[0];
rx(-3.1515) q[1];
rz(0.0076) q[1];
rx(0.0025) q[2];
rz(0.009) q[2];
rx(0.002) q[3];
rz(0.0089) q[3];
rx(0.0023) q[4];
rz(0.0045) q[4];
rx(-0.0025) q[5];
rz(0.0012) q[5];
rx(0.0025) q[6];
rz(0.0041) q[6];
rx(3.1388) q[7];
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... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"ZIIZIIII",
"ZIZIIIII",
"IIZZIIII",
"ZZIIIIII",
"IZIZIIII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"ZIIIIIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
0.5,
-1,
-2,
-2,
0.5,
-2,
0.5,
-1.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] |
6d7e5c7b3f86be8f7eca13c50e6c3de8 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [5, 7], "expectation_value": -4.728602369911062, "params": [[[0.4635, 0.229], [0.4894, -0.20270000000000002], [0.48510000000000003, -0.1958], [0.47700000000000004, 0.2043], [0.8936000000000001, 0.0006000000000000001], [0.8643000000000001, -0.0015], [0.8982, 0.0006000000000000001]], [[0.461, 0.0073], [0.48260... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.4635) q[0];
rz(0.229) q[0];
rx(0.4894) q[1];
rz(-0.2027) q[1];
rx(0.4851) q[2];
rz(-0.1958) q[2];
rx(0.477) q[3];
rz(0.2043) q[3];
rx(0.8936) q[4];
rz(0.0006) q[4];
rx(0.8643) q[5];
rz(-0.0015) q[5];
rx(0.8982) q[6];
rz(0.0006) q[6];
rx(0.461) q[0];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
-3.25,
-3.75,
-3.25,
-3.25,
-3,
-2.75,
-2.75
] |
16aed950661228e73cbfe28c55f52a27 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 4}, {"weight": 14, "source": 0, "target": 6}, {"weight": 17, "source": 0, "tar... | {"states": [250, 248], "expectation_value": -35.753829421256626, "params": [[-0.0405, 0.0089, -0.003, 0.0152], [0.0723, 0.0456, 0.063, 0.057]], "bitstrings": ["100000101", "100000111"], "total_optimization_steps": 10, "probabilities": [0.010198879588911598, 0.013887329240580146], "optimization_time": 8.340685367584229} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-94.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "smallest_bitstrings": ["100000111"], "largest_eigenvalue": 180.0} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.3645) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3645) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3645) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.3645) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIZZIIII",
"IIZIIIIZI",
"IZIIIIZII",
"IZIIZIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"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,
14,
21,
20.5,
14.5,
18.5,
-2.5,
2.5,
2
] |
87c3ced1ef7832360d99a2d1828a4d93 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [37, 10], "expectation_value": -0.3179800992578747, "params": [[0.0693], [-0.0685]], "bitstrings": ["011010", "110101"], "total_optimization_steps": 10, "probabilities": [0.017395744701367594, 0.01746919605612408], "optimization_time": 1.3557355403900146} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["111010", "011011", "110101", "110011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
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(0.0693) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0693) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0693) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.0693) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0693... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1,
-1.5,
-1.5,
-0.5
] |
d56985f232688510835b204f6df74ea2 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [12, 15], "expectation_value": -0.08795460165355895, "params": [[0.0551], [-0.045000000000000005]], "bitstrings": ["0011", "0000"], "total_optimization_steps": 10, "probabilities": [0.06622630939294305, 0.06622630939294305], "optimization_time": 1.0238218307495117} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3) + 1.0 * Z(2) | 5 | 4 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011", "0000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(-0.1102) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.1653) q[2];
cx q[3], q[2];
rz(0.0551) q[1];
rz(0.0551) q[0];
rz(-0.1102) q[3];
rz(0.1102) q[2];
h q[0];
rz(-0.09) q[0];
h q[0];
h q[1];
rz(-0.09) q[1];
h q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x1) q[2];
cx q[3], q[2];
rz(x2) q[1];
rz(x2) q[0];
rz(x0) q[3];
rz(... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIZZ",
"ZZII",
"IIZI",
"IIIZ",
"ZIII",
"IZII"
] | [
-1,
-1.5,
0.5,
0.5,
-1,
1
] |
4dc7eb2b16579aab0e582a9105750b79 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target": 7}, {"source": 6, "ta... | {"states": [0, 103], "expectation_value": -6.527692363851599, "params": [-0.5622, 1.1273, 0.3382, 0.738, -0.5759000000000001, 0.3483, -0.07400000000000001, 1.3341, 0.5755, 1.2833, -0.1766, 1.6016000000000001, 0.6482, -0.4797, 0.3441, 0.6939000000000001, 0.08650000000000001, 1.0495, -0.4055, 0.6337, -0.0653, 1.0267, -0.... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) | 6 | 7 | 2 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.5, "smallest_bitstrings": ["0000000", "0011000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.5622) q[0];
rz(1.1273) q[0];
rx(-0.5759) q[1];
rz(0.3483) q[1];
rx(0.5755) q[2];
rz(1.2833) q[2];
rx(0.6482) q[3];
rz(-0.4797) q[3];
rx(0.0865) q[4];
rz(1.0495) q[4];
rx(-0.0653) q[5];
rz(1.0267) q[5];
rx(-0.1217) q[6];
rz(0.7413) q[6];
crx(0.6542) q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZZII",
"IZZIIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
-1,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5
] |
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