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 128 2.57k | 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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
4968717363326137033 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 5], [5, 6], [3, 5], [3, 4], [2, 3], [1, 2], [4, 5], [2, 4], [1, 6], [1, 4], [1, 5], [0, 4], [1, 3]]} | {"states": [77, 13], "expectation_value": -2.1270246617041786, "params": null, "bitstrings": ["0110010", "1110010"], "total_optimization_steps": 50, "probabilities": [0.3139683661026782, 0.4985172767744909], "optimization_time": 58.90057611465454} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -1.5, "smallest_bitstrings": ["1110010", "0001101", "0010111", "0010110", "0100110", "0110010", "1001101", "1011001", "1101001", "1101000"]} | 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];
cry(-1.0342) q[4], q[5];
cry(-1.0342) q[1], q[2];
ry(1.0293) q[4];
cry(-0.8214) q[6], q[5];
cry(1.1655) q[4], q[6];
ry(-0.3465) q[5];
cry(-0.6534) q[3], q[2];
ry(1.0617) q[3];
cry(-1.0393) q[4], q[1];
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];\ncry(-1.0342) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
cb3c7c022cb9712afc36cb282644505f | 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": 2}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [13, 93], "expectation_value": -8.091459392578457, "params": null, "bitstrings": ["11110010", "10100010"], "total_optimization_steps": 58, "probabilities": [0.2131101648714886, 0.6404051915948014], "optimization_time": 68.62446618080139} | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.5 * (Z(1) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10100010"]} | 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[6];
ry(-1.5706) q[2];
cry(-1.5706) q[7], q[0];
ry(1.1031) q[7];
ry(-0.5888) q[0];
cry(1.5271) q[3], q[1];
ry(1.5485) q[4];
cry(1.5271) q[4], q[5];
cry(0.3786) q[4], q[7];
cry(1.2166)... | 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[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... |
8bcce02c9e4ddeca119f345e4e3e7d5b | 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": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [12281, 10233], "expectation_value": -3.006536469950404, "params": [[[2.5050000000000003, 0.0018000000000000002], [0.36100000000000004, 0.0061], [1.4713, 0.0055000000000000005], [2.5034, 0.0067], [2.5013, 0.0012000000000000001], [2.5061, 0.0014], [2.5033000000000003, 0.0013000000000000002], [2.5029, 0.008700... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + -0.125 * (Z(5) @ Z(2) @ Z(3)) + -0.125 * (Z(4) @ Z(5) @ Z(2)) + -0.125 * (Z(4) @ Z(5) @ Z(3)) + 0.125 * (Z(4) @ Z(5) @ Z(2... | 1 | 14 | 1 | {"smallest_eigenvalues": [-5.03125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.031249999999998, "smallest_bitstrings": ["01100000000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
rx(2.505) q[0];
rz(0.0018) q[0];
rx(0.361) q[1];
rz(0.0061) q[1];
rx(1.4713) q[2];
rz(0.0055) q[2];
rx(2.5034) q[3];
rz(0.0067) q[3];
rx(2.5013) q[4];
rz(0.0012) q[4];
rx(2.5061) q[5];
rz(0.0014) q[5];
rx(2.5033) q[6];
rz(0.0013) q[6];
rx(2.5029) 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": []} |
3b4195810bf2a6f7a0a91b99109270dd | matching | qaoa | {"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": 18, "source": 0, "target": 4}, {"weight": 12, "source": 1, "target": 4}, {"weight": 2, "source": 2, "target": 3}, {"... | {"states": [121, 110], "expectation_value": -8.276236463127006, "params": [[0.0397], [-0.0475]], "bitstrings": ["10000110", "10010001"], "total_optimization_steps": 10, "probabilities": [0.005904570637965751, 0.006476968138328715], "optimization_time": 2.1032094955444336} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["10010001"]} | 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(0.3176) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3176) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3176) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.3176) q[4];
cx q[1], q[4];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
4aaa125e56185799ad2bd158a4062dac | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [1023, 511], "expectation_value": -16.01999293680516, "params": [[[-1.6129, 0.0013000000000000002], [0.0026000000000000003, 0.009600000000000001], [0.0023, 0.009000000000000001], [0.0023, 0.0046], [0.0024000000000000002, 0.0046], [0.0023, 0.004], [-0.0025, 0.006900000000000001], [0.0028, 0.0033], [0.00210000... | -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(1) @ Z(9)) + -1.5 * (Z(1) @ Z(8)) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(9) + 0.5 * Z(8) + 0.5 * Z(1)... | 2 | 10 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-1.6129) q[0];
rz(0.0013) q[0];
rx(0.0026) q[1];
rz(0.0096) q[1];
rx(0.0023) q[2];
rz(0.009) q[2];
rx(0.0023) q[3];
rz(0.0046) q[3];
rx(0.0024) q[4];
rz(0.0046) q[4];
rx(0.0023) q[5];
rz(0.004) q[5];
rx(-0.0025) q[6];
rz(0.0069) q[6];
rx(0.0028) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 1} | {"circuits": [], "gradients": []} |
bf418bbdd12410e98878889c04d4a570 | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [58, 51], "expectation_value": -2.7525779097530374, "params": [0.060000000000000005, 0.1497, 0.050100000000000006, 0.14700000000000002, -0.0016, 0.1622, -0.0089, 0.15410000000000001, 0.28500000000000003, -0.055, 0.2881, -0.0313, 0.3049, -0.0776, 0.3048, -0.0483, 0.2879, -0.0975, 0.2924, -0.10110000000000001,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + -1.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(6) + -0.5 * Z(5) + 0.0 * Z(7) | 5 | 8 | 3 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["11000101", "11001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.06) q[0];
rz(0.1497) q[0];
rx(-0.0016) q[1];
rz(0.1622) q[1];
rx(0.285) q[2];
rz(-0.055) q[2];
rx(0.3049) q[3];
rz(-0.0776) q[3];
rx(0.2879) q[4];
rz(-0.0975) q[4];
rx(0.0849) q[5];
rz(-0.0936) q[5];
rx(0.2973) q[6];
rz(-0.0707) q[6];
rx(0.2883) 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... | null | {"circuits": [], "gradients": []} |
d4330ca50c7e11a2ef645e484effbde2 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "s... | {"states": [145, 153], "expectation_value": -15.664709866741388, "params": [0.0026000000000000003, -1.0564, -1.5724, 0.005, -0.0024000000000000002, 0.7764000000000001, 0.0029000000000000002, -0.4219, 1.5758, -0.2636, -0.867, 3.1385, 0.0026000000000000003, -0.505, 0.0019, 0.35850000000000004, -1.5728, 0.0059, 0.00260000... | -1.25 * (Z(0) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(0)) + 2.5 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(7)) + -1.25 * (Z(1) @ Z(5)) + -1.5 * (Z(1) @ Z(7)) + -1.5 * (Z(1) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(7)) + -0.75 * (Z(6) @ Z(5)) + -1.25 * (Z(6) @ ... | 3 | 9 | 2 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["101100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0026) q[0];
rz(-1.0564) q[0];
rx(-1.5724) q[1];
rz(0.005) q[1];
rx(-0.0024) q[2];
rz(0.7764) q[2];
rx(0.0029) q[3];
rz(-0.4219) q[3];
rx(1.5758) q[4];
rz(-0.2636) q[4];
rx(-0.867) q[5];
rz(3.1385) q[5];
rx(0.0026) q[6];
rz(-0.505) q[6];
rx(0.0019) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
d7a525ce4c2e3aa682dbfbc5ee640032 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [70, 7], "expectation_value": -4.683460437054338, "params": [[-0.0414, -0.050800000000000005], [0.049100000000000005, 0.058]], "bitstrings": ["0111001", "1111000"], "total_optimization_steps": 10, "probabilities": [0.013250604862609882, 0.013894936185829335], "optimization_time": 7.415895223617554} | 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"]} | 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(-0.1863) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1863) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1863) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1863) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"k": 4} | {"circuits": [], "gradients": []} |
75d554aeee06fbf8bfe9226005af8f80 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [177, 179], "expectation_value": -18.63029066176964, "params": null, "bitstrings": ["101001110", "101001100"], "total_optimization_steps": 84, "probabilities": [0.2343257698602638, 0.5943727541305504], "optimization_time": 154.9365677833557} | -0.5 * (Z(0) @ Z(3)) + -1.75 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(0)) + 2.5 * (Z(8) @ Z(0)) + -2.75 * (Z(1) @ Z(3)) + -1.75 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(8)) + -1.5 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(6)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -1.25 * (Z(7) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-21.75, -21.75, -21.75, -21.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -19.75, "smallest_bitstrings": ["111111100", "101001100", "100001100", "111101100"]} | 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(-0.7408) q[5];
ry(1.5709) q[7];
cry(0.0007) q[7], q[5];
cry(-1.5708) q[7], q[6];
cry(1.5708) q[1], q[3];
ry(1.0062) q[1];
ry(1.5708) q[8];
cry(-1.1737) q[8], q[0];
cry(-0.8299) q[8], q[... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-0.7408) 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] = ... |
89e6f827cbc0e0ec3823c522cfd80bf7 | 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": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [97, 101], "expectation_value": -4.59845159978686, "params": [0.5232, 0.0061, 0.8019000000000001, 0.0019, 0.81, 0.0054, -0.0091, 0.311, 0.17830000000000001, 0.2826, 0.8058000000000001, -0.017, 0.398, 0.0109, 0.808, 0.0008, 0.5278, -0.0018000000000000002, 0.8014, -0.0049, 0.8092, -0.169, -0.017, -0.3023, 0.17... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.0 *... | 4 | 8 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["10011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.5232) q[0];
rz(0.0061) q[0];
rx(0.8019) q[1];
rz(0.0019) q[1];
rx(0.81) q[2];
rz(0.0054) q[2];
rx(-0.0091) q[3];
rz(0.311) q[3];
rx(0.1783) q[4];
rz(0.2826) q[4];
rx(0.8058) q[5];
rz(-0.017) q[5];
rx(0.398) q[6];
rz(0.0109) q[6];
rx(0.808) q[7];
rz(0.0008... | OPENQASM 3.0;
include "stdgates.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": []} |
e2fd758a3afa6a51c78ff05fa92b78d0 | 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": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": 4, "target":... | {"states": [492, 448], "expectation_value": -7.2002037596919, "params": [[-0.1434], [0.3655]], "bitstrings": ["000010011", "000111111"], "total_optimization_steps": 40, "probabilities": [0.018952265915224458, 0.01925403247339509], "optimization_time": 3.4087648391723633} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(6)) + -3.0 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(3)) + -2.0 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 5 | 9 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["000111111"]} | 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(0.4302) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.4302) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1434) q[2];
cx q[0], q[2];
cx q[6], q[3];
rz(0.717) q[3];
cx q[6], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[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];
... | {"node": 4} | {"circuits": [], "gradients": []} |
833c89e8aca800e5707fb47ea63f9088 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [0, 4], "expectation_value": -2.6199252763140297, "params": [0.0027, 0.447, 0.0022, 0.4414, 0.601, 0.0001, 0.0035, 0.44420000000000004, 0.0023, 0.459, 0.0018000000000000002, 0.45890000000000003, 0.004200000000000001, 0.457, 0.6056, 0.0043, 0.0008, 0.4429, 0.0026000000000000003, 0.45280000000000004, 0.0027, 0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -0.75 * Z(0) + -0.75 * Z(1) + 0.0 * Z(2) + -0.75 * Z(3) + -0.75 * Z(4) | 18 | 5 | 3 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["11011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.0027) q[0];
rz(0.447) q[0];
rx(0.0022) q[1];
rz(0.4414) q[1];
rx(0.601) q[2];
rz(0.0001) q[2];
rx(0.0035) q[3];
rz(0.4442) q[3];
rx(0.0023) q[4];
rz(0.459) q[4];
crz(-0.4388) q[4], q[0];
crz(-0.4258) q[3], q[4];
crz(0.0036) q[2], q[3];
crz(-0.4242) q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
549ddf61b33c747b7d039a2118793eec | 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": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "ta... | {"states": [0, 119], "expectation_value": -9.051656519506823, "params": [0.3991, 0.7237, -0.1375, 0.9563, 0.7253000000000001, 0.8948, -0.0743, 1.1651, 0.7199, 0.9976, -0.0936, 0.9619000000000001, 0.8112, 1.0631000000000002, -0.17350000000000002, 1.2984, 0.7199, 0.9073, 0.053500000000000006, 0.1416, 0.6940000000000001, ... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -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) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + -0.5 * Z(3) | 6 | 7 | 3 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["0001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.3991) q[0];
rz(0.7237) q[0];
rx(0.7253) q[1];
rz(0.8948) q[1];
rx(0.7199) q[2];
rz(0.9976) q[2];
rx(0.8112) q[3];
rz(1.0631) q[3];
rx(0.7199) q[4];
rz(0.9073) q[4];
rx(0.694) q[5];
rz(1.0305) q[5];
rx(0.6755) q[6];
rz(0.9915) q[6];
crx(0.3848) q[6], q[5];... | 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... | {"node": 4} | {"circuits": [], "gradients": []} |
16f78d4600a63f9e28571cad22ffe3ee | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 5}, {"weight": 8, "source": 2, "target": 3}, {"weight": 11, "source": 2, "targ... | {"states": [190, 182], "expectation_value": -68.11530159472113, "params": [-0.0002, 0.4652, 0.7861, 0.0395, 0.2506, 0.2773, 0.7849, -0.007500000000000001, 0.7902, 0.051800000000000006, 0.36560000000000004, 0.2121, 0.7836000000000001, -0.008, 0.7862, 0.1129, 0.28850000000000003, 0.2641, 0.0059, 0.5045000000000001, 0.788... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 10.0 * Z(1) ... | 18 | 9 | 4 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["101001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0002) q[0];
rz(0.4652) q[0];
rx(0.7861) q[1];
rz(0.0395) q[1];
rx(0.2506) q[2];
rz(0.2773) q[2];
rx(0.7849) q[3];
rz(-0.0075) q[3];
rx(0.7902) q[4];
rz(0.0518) q[4];
rx(0.3656) q[5];
rz(0.2121) q[5];
rx(0.7836) q[6];
rz(-0.008) q[6];
rx(0.7862) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
5144181ac27497fdfa9bdb5b8b799630 | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}]} | {"states": [245, 437], "expectation_value": -4.4997224841983945, "params": null, "bitstrings": ["100001010", "001001010"], "total_optimization_steps": 68, "probabilities": [0.06097763732302738, 0.8720226172622207], "optimization_time": 91.19743227958679} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -3.5, "smallest_bitstrings": ["001010100", "001100010", "001001010", "001001100", "010001100", "010010100", "010010001", "010100001", "100100001", "100001010",... | 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(1.5681) q[8];
ry(1.5486) q[4];
ry(1.5486) q[1];
ry(1.4449) q[6];
cry(-1.4432) q[6], q[7];
cry(-1.0341) q[3], q[5];
cry(-1.0341) q[0], q[2];
ry(0.7044) q[3];
cry(0.7044) q[8], q[0];
cry(... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) 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];\nc[6] = m... |
b99f0e315d6c4ec38babd2628ecf87b6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "s... | {"states": [67, 3], "expectation_value": -0.32865493840407106, "params": [[0.0714, 0.0621], [-0.0777, -0.07010000000000001]], "bitstrings": ["110111100", "111111100"], "total_optimization_steps": 10, "probabilities": [0.0030730773957400974, 0.0031498475990722687], "optimization_time": 3.3968586921691895} | -0.5 * (Z(0) @ Z(6)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(4)) + -0.25 * Z(6) + -0.25 * Z(0) + 0.5 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.75, "smallest_bitstrings": ["110111100", "111111100"]} | 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[6], q[0];
rz(-0.0714) q[0];
cx q[6], q[0];
cx q[0], q[8];
rz(0.1071) q[8];
cx q[0], q[8];
cx q[6], q[1];
rz(-0.0357) q[1];
cx q[6], q[1];
cx q[6], q[3];
rz(-0.0357) q[3];
cx q[6], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
3c6a0f75571e718d8fbaf4d718e39505 | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [854, 886], "expectation_value": -3.136665350047913, "params": [[[0.0023, 1.0505, 0.0058000000000000005, 0.0041], [-0.0036000000000000003, 1.0506, -0.0056, 0.0025], [1.5834000000000001, -0.0033, 1.5809, 0.0013000000000000002], [1.5994000000000002, -0.0008, 1.4082000000000001, 0.0041], [1.5867, -0.0019, 1.583... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 11 | 11 | 1 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.8125, "smallest_bitstrings": ["10000010011", "01010001001", "10001010001", "10000001101", "01001000101", "01001010001", "01010000011", "10... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0023) q[0];
rz(1.0505) q[0];
ry(-0.0036) q[1];
rz(1.0506) q[1];
ry(1.5834) q[2];
rz(-0.0033) q[2];
ry(1.5994) q[3];
rz(-0.0008) q[3];
ry(1.5867) q[4];
rz(-0.0019) q[4];
ry(0.8691) q[5];
rz(0.4418) q[5];
ry(1.2432) q[6];
rz(0.0004) q[6];
ry(1.5929) 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": []} |
2595393ec6a8cf85d387fa4d443f68fe | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [5, 58], "expectation_value": -0.1654743781063512, "params": [[0.0712], [-0.07980000000000001]], "bitstrings": ["111010", "000101"], "total_optimization_steps": 10, "probabilities": [0.017778198232263002, 0.018439746196375464], "optimization_time": 1.0357072353363037} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(2) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["000101"]} | 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[3], q[0];
rz(0.0712) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(0.0712) q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(0.0712) q[1];
cx q[3], q[1];
cx q[5], q[1];
rz(0.0712) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(0.0712... | 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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[3... | null | {"circuits": [], "gradients": []} |
-5665932545785852545 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 4, 5, 6, 8], [0, 2, 6, 7, 8], [0, 1]]} | {"states": [301, 293], "expectation_value": -0.8011704083155143, "params": null, "bitstrings": ["011010010", "011011010"], "total_optimization_steps": 69, "probabilities": [0.06368043130167277, 0.06997431111014513], "optimization_time": 149.28680992126465} | 0.05 * (Z(3) @ Z(4)) + 0.05 * (Z(5) @ Z(4)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(6) @ Z(4)) + 0.05 * (Z(6) @ Z(3)) + 0.05 * (Z(6) @ Z(5)) + 0.05 * (Z(8) @ Z(4)) + 0.05 * (Z(8) @ Z(3)) + 0.05 * (Z(8) @ Z(5)) + 0.1 * (Z(8) @ Z(6)) + 0.05 * (Z(0) @ Z(6)) + 0.05 * (Z(0) @ Z(8)) + 0.05 * (Z(2) @ Z(6)) + 0.05 * (Z(2) @ Z(8)) +... | 1 | 9 | 1 | {"smallest_eigenvalues": [-0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, ... | 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[0], q[1];
ry(0.8763) q[0];
ry(-0.595) q[1];
ry(0.7602) q[6];
cry(0.4309) q[6], q[0];
cry(-0.293) q[6], q[1];
cry(0.374) q[0], q[6];
ry(0.3528) q[8];
cry(0.1686) q[8], q[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[0], 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... |
-7368056999618555872 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[3, 5, 6, 7, 8, 9], [1, 3, 5, 6, 8], [8, 1, 3, 7], [8, 0, 6], [0, 1, 2, 7, 9], [0, 1, 4, 7], [0, 1, 5, 6, 7], [1, 3, 9], [2, 3]]} | {"states": [631, 431], "expectation_value": -0.8413778119729122, "params": [[-0.274], [0.2787]], "bitstrings": ["0110001000", "1001010000"], "total_optimization_steps": 30, "probabilities": [0.0022853808766812294, 0.0022928306966047735], "optimization_time": 7.5546934604644775} | 0.08333333333333334 * (Z(3) @ Z(5)) + 0.13333333333333336 * (Z(6) @ Z(5)) + 0.08333333333333334 * (Z(6) @ Z(3)) + 0.08333333333333334 * (Z(7) @ Z(5)) + 0.11666666666666667 * (Z(7) @ Z(3)) + 0.08333333333333334 * (Z(7) @ Z(6)) + 0.08333333333333334 * (Z(8) @ Z(5)) + 0.16666666666666669 * (Z(8) @ Z(3)) + 0.25 * (Z(8) @ Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-2.466666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.433333333333334, "smallest_bitstrings": ["1001010000"]} | 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[5], q[3];
rz(-0.0457) q[3];
cx q[5], q[3];
cx q[5], q[6];
rz(-0.0731) q[6];
cx q[5], q[6];
cx q[3], q[6];
rz(-0.0457) q[6];
cx q[3], q[6];
cx q[5], q[7];
rz(-0.0457) q[7];
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[... | null | {"circuits": [], "gradients": []} |
a91613587e2e3ed31c854337981da9dd | 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": 1}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, ... | {"states": [5, 1], "expectation_value": -8.224299021754028, "params": [0.0051, 0.26940000000000003, 0.0026000000000000003, 0.4466, 0.0012000000000000001, 0.45690000000000003, 0.0037, 0.4424, -0.0007, 0.3941, 0.46030000000000004, 0.1472, 0.0043, -0.44070000000000004, 0.5975, 0.0013000000000000002, 0.0, 0.363100000000000... | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -1.25 * (Z(5) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(7) + -1.25 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) + -... | 3 | 8 | 3 | {"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["11111110", "11111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0051) q[0];
rz(0.2694) q[0];
rx(0.0026) q[1];
rz(0.4466) q[1];
rx(0.0012) q[2];
rz(0.4569) q[2];
rx(0.0037) q[3];
rz(0.4424) q[3];
rx(-0.0007) q[4];
rz(0.3941) q[4];
rx(0.4603) q[5];
rz(0.1472) q[5];
rx(0.0043) q[6];
rz(-0.4407) q[6];
rx(0.5975) 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
3c01ab65d1a16535fdf3b1017527aaee | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "s... | {"states": [55, 255], "expectation_value": -4.880134130141092, "params": null, "bitstrings": ["111001000", "100000000"], "total_optimization_steps": 100, "probabilities": [0.03927335053609002, 0.6288330486602189], "optimization_time": 208.86085557937622} | -0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + 0.0 * Z(5) + -0.25 * Z(0) + 0.0 * Z(1) + ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["100000000", "111111110", "111101110"]} | 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(1.5158) q[5], q[7];
cry(1.5157) q[5], q[2];
cry(0.9525) q[2], q[5];
cry(1.5266) q[2], q[1];
ry(1.4449) q[4];
cry(0.4541) q[2], q[7];
cry(1.3279) q[7], q[8];
cry(-1.484) q[8], q[0];
cry... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5158) q[5], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... |
c51df70f6c86a32c21e504b9f41dac95 | 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": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": ... | {"states": [2048, 2047], "expectation_value": -11.011632130006673, "params": [[[-0.0025, 0.0007], [0.0001, 0.0024000000000000002], [0.0047, 0.002], [0.0031000000000000003, 0.0023], [0.0044, 0.0021000000000000003], [0.0053, 0.0019], [-0.0085, 0.0022], [-0.0046, -0.003], [0.005, 0.0027], [-0.0014, 0.0026000000000000003],... | -0.25 * (Z(0) @ Z(6)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(3) @ Z(6)) + 1.0 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.5 * (Z(8) @ Z(7)) + -0.25 * (Z(8) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(8)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(8)) + -0.25 * (Z(2) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @... | 15 | 12 | 2 | {"smallest_eigenvalues": [-11.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.75, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0025) q[0];
ry(0.0001) q[1];
ry(0.0047) q[2];
ry(0.0031) q[3];
ry(0.0044) q[4];
ry(0.0053) q[5];
ry(-0.0085) q[6];
ry(-0.0046) q[7];
ry(0.005) q[8];
ry(-0.0014) q[9];
ry(-0.0016) q[10];
ry(1.6006) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];... | OPENQASM 3.0;
include "stdgates.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": []} |
f82f40377b76a8640da93298d26960f8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": ... | {"states": [0, 256], "expectation_value": -8.921642342022357, "params": [-0.6878000000000001, -0.0019, 0.7231000000000001, 0.006200000000000001, 0.0019, 0.5932000000000001, 0.002, 0.0051, -0.0011, 0.2833, 0.006, 0.0039000000000000003, 0.8019000000000001, -0.0035, 0.8036000000000001, 0.0012000000000000001, 0.00180000000... | -0.5 * (Z(0) @ Z(8)) + -0.5 * (Z(9) @ Z(8)) + -0.5 * (Z(9) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(8)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(5) @ Z(8)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(10) @ Z(8)) + -0.25 * (Z(10) @ Z(5)) + -0.25 * (Z(... | 6 | 12 | 1 | {"smallest_eigenvalues": [-9.75, -9.75, -9.75, -9.75, -9.75, -9.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -8.75, "smallest_bitstrings": ["111011111111", "110010001100", "100010001100", "111010111101", "110010101100", "111010111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.6878) q[0];
rz(-0.0019) q[0];
rx(0.0019) q[1];
rz(0.5932) q[1];
rx(-0.0011) q[2];
rz(0.2833) q[2];
rx(0.8019) q[3];
rz(-0.0035) q[3];
rx(0.0018) q[4];
rz(0.5984) q[4];
rx(0.4409) q[5];
rz(-0.0084) q[5];
rx(0.0023) q[6];
rz(0.6003) q[6];
rx(-0.0562) 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": 11} | {"circuits": [], "gradients": []} |
7af7d775bcaae53afe2e6cd801577577 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4... | {"states": [61, 63], "expectation_value": -2.124891970427167, "params": [[-0.0758, -0.0761, -0.0777, -0.08660000000000001], [0.0775, 0.07690000000000001, 0.07490000000000001, 0.0795]], "bitstrings": ["1000010", "1000000"], "total_optimization_steps": 10, "probabilities": [0.025119634931003103, 0.026069340075586173], "o... | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + -0.5 * Z(5) + -0.75 * Z(3) + 1.25 * Z(1) + 0.0 * Z(4) + -0.25 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000010", "1000000", "1001010", "1001000"]} | 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(0.0379) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(0.0758) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.0758) q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(0.1137) q[1];
cx q[3], q[1];
cx q[2], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
5453c2513a3015ff34fdf7af0c17d479 | 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": [6, 7], "expectation_value": -4.34361084869282, "params": [[[0.4585, -0.233], [0.5075000000000001, -0.19940000000000002], [0.5084000000000001, -0.20090000000000002], [0.5042, -0.2049], [0.8648, -0.0009000000000000001], [0.8666, 0.0012000000000000001], [0.8583000000000001, 0.0014]], [[0.45170000000000005, 0.0... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.4585) q[0];
rz(-0.233) q[0];
rx(0.5075) q[1];
rz(-0.1994) q[1];
rx(0.5084) q[2];
rz(-0.2009) q[2];
rx(0.5042) q[3];
rz(-0.2049) q[3];
rx(0.8648) q[4];
rz(-0.0009) q[4];
rx(0.8666) q[5];
rz(0.0012) q[5];
rx(0.8583) q[6];
rz(0.0014) q[6];
rx(0.4517) q[0];
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[... | {"k": 4} | {"circuits": [], "gradients": []} |
ac8f6040a5bb03cdcb904dd06b95ed2a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "source": 2, "target": 4}, {"capacity": 2, "source": 4, ... | {"states": [7, 31], "expectation_value": -7.183017010257069, "params": null, "bitstrings": ["11111000", "11100000"], "total_optimization_steps": 51, "probabilities": [0.1459610964136302, 0.6774742925628697], "optimization_time": 57.49989461898804} | -0.75 * (Z(0) @ Z(2)) + 1.0 * (Z(7) @ Z(0)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(7) + 3.5 * Z(4) + -1.2... | 1 | 8 | 3 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -7.5, "smallest_bitstrings": ["10000000", "11100000", "11010100", "11010000", "11000100", "11000000", "10110000", "10100000", "10010000", "11110000... | 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(1.5577) q[4];
cry(1.5708) q[4], q[6];
cry(1.5681) q[4], q[7];
cry(-1.5706) q[7], q[0];
cry(1.5486) q[6], q[5];
cry(0.022) q[4], q[5];
cry(-1.4135) q[6], q[4];
cry(-0.0704) q[5], q[4];
cry(-0.00... | 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(1.5577) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
c8cc4a98ae2322198d431f79e7c08f2a | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [112, 50], "expectation_value": -0.06692780362612064, "params": [[0.013800000000000002, -0.0369], [-0.0297, 0.0335]], "bitstrings": ["0001111", "1001101"], "total_optimization_steps": 10, "probabilities": [0.008092385356286796, 0.008129737115811938], "optimization_time": 3.633864164352417} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(5) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(1) + -1.0 * Z(3) + -1.5 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001111", "1001101"]} | 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[5], q[0];
rz(0.0138) q[0];
cx q[5], q[0];
cx q[5], q[6];
rz(0.0138) q[6];
cx q[5], q[6];
cx q[0], q[6];
rz(0.0138) q[6];
cx q[0], q[6];
cx q[6], q[1];
rz(0.0138) q[1];
cx q[6], q[1];
cx q[1], q[3];
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;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} |
9b4be5d748a292e481722f1ef8f75020 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 3}]} | {"states": [14, 10], "expectation_value": -5.112317597305828, "params": [-0.0022, -0.7915000000000001, -0.0021000000000000003, 0.631, -0.0027, 0.8224, -0.0027, -0.794, 1.1029, 0.2526, 0.8286, 0.44220000000000004, 1.0992, 0.4098, 0.8224, 0.35600000000000004, -0.0022, 0.005200000000000001, -0.0021000000000000003, 0.00720... | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + 0.4 * (Z(1) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 1.0 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 1.0 ... | 18 | 8 | 2 | {"smallest_eigenvalues": [-6.6000000000000005, -6.6000000000000005], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.999999999999999, "smallest_bitstrings": ["11110010", "11110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0022) q[0];
rz(-0.7915) q[0];
rx(-0.0021) q[1];
rz(0.631) q[1];
rx(-0.0027) q[2];
rz(0.8224) q[2];
rx(-0.0027) q[3];
rz(-0.794) q[3];
rx(1.1029) q[4];
rz(0.2526) q[4];
rx(0.8286) q[5];
rz(0.4422) q[5];
rx(1.0992) q[6];
rz(0.4098) q[6];
rx(0.8224) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
e2466d0e59f9ae9b15e99011693e125f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [80, 82], "expectation_value": -4.571935340393883, "params": null, "bitstrings": ["0101111", "0101101"], "total_optimization_steps": 36, "probabilities": [0.13263655759363732, 0.6774959132700998], "optimization_time": 34.808642625808716} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(6) + 0.0 * Z(0) + -1.5 * Z(1) + -1.0 * Z(2) + -1.5 * Z(3) + -1.5 * Z(... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0011011", "0101101"]} | 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[3];
ry(-1.5681) q[1];
ry(-1.4449) q[5];
cry(-1.0398) q[2], q[4];
cry(-1.0398) q[0], q[6];
ry(0.7022) q[0];
ry(0.7022) q[2];
ry(-0.4578) q[6];
ry(-0.4578) q[4];
cry(0.4586) q[2], q[0];
cry(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
800f779aab5ac71650acd9af8d6964c8 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [69, 7], "expectation_value": -22.864627285265637, "params": null, "bitstrings": ["10111010", "11111000"], "total_optimization_steps": 87, "probabilities": [0.1081261806680195, 0.6151537257450127], "optimization_time": 210.8340141773224} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 6 | 8 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"]} | 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(-0.7752) q[3];
ry(-0.2982) q[4];
ry(-0.9561) q[0];
cry(-1.2721) q[7], q[4];
cry(-0.7941) q[6], q[3];
cry(-1.5708) q[5], q[2];
ry(1.0183) q[5];
cry(-1.5708) q[6], q[1];
ry(0.8731) q[6];
cry(-0.6... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.7752) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
069cafb06b752eb3d4074d5c7b751778 | 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": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 5, "target": 7}, {"sour... | {"states": [253, 255], "expectation_value": -8.139754399426636, "params": [-0.29550000000000004, 3.0295, -0.5690000000000001, 0.0078000000000000005, 1.2896, 1.0351000000000001, -0.9681000000000001, 0.0099, -1.6206, 1.6416000000000002, 0.1068, 0.007500000000000001, 1.6204, -1.0575, 0.3007, 0.0022, -1.3322, 2.3553, 0.470... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(5) + -1.0 * Z(6) + 1.0 * Z(7) | 6 | 8 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["00000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.2955) q[0];
rz(3.0295) q[0];
rx(1.2896) q[1];
rz(1.0351) q[1];
rx(-1.6206) q[2];
rz(1.6416) q[2];
rx(1.6204) q[3];
rz(-1.0575) q[3];
rx(-1.3322) q[4];
rz(2.3553) q[4];
rx(0.6183) q[5];
rz(2.5945) q[5];
rx(-0.3162) q[6];
rz(2.3244) q[6];
rx(-0.5215) 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": 5} | {"circuits": [], "gradients": []} |
b4844a241e7c75ea7eb690acd3c4c004 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [245, 371], "expectation_value": -0.7576964455349636, "params": [[0.0548, 0.052700000000000004, 0.057100000000000005], [-0.05, -0.0402, -0.0438]], "bitstrings": ["100001010", "010001100"], "total_optimization_steps": 10, "probabilities": [0.002924897634117582, 0.0029248976341175823], "optimization_time": 7.1... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.25, "smallest_bitstrings": ["001010100", "001100010", "100001010", "010001100", "010100001", "100010001"]} | 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(0.0548) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0548) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0548) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.0274) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h ... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
-7562116697047327517 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 2, 4], [1, 6], [0, 1], [0, 2, 6, 7], [8, 3], [0, 5]]} | {"states": [341, 279], "expectation_value": -1.0786535218386075, "params": [1.1043, -0.0194, 1.1028, 0.006900000000000001, 0.4879, 0.33540000000000003, 0.48800000000000004, 0.0055000000000000005, 1.0934000000000001, -0.1075, 1.0934000000000001, 0.0076, 0.48950000000000005, 0.3523, 0.49350000000000005, 0.0088, 1.0948, -... | 0.16666666666666666 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.08333333... | 5 | 9 | 1 | {"smallest_eigenvalues": [-2.5833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.583333333333333, "smallest_bitstrings": ["011101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.1043) q[0];
rz(-0.0194) q[0];
rx(0.4879) q[1];
rz(0.3354) q[1];
rx(1.0934) q[2];
rz(-0.1075) q[2];
rx(0.4895) q[3];
rz(0.3523) q[3];
rx(1.0948) q[4];
rz(-0.0452) q[4];
rx(0.4879) q[5];
rz(0.3555) q[5];
rx(1.1066) q[6];
rz(0.2507) q[6];
rx(1.0703) 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": []} |
d6ca78958a015bca449989b3cc828628 | 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": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [997, 741], "expectation_value": -1.6012007905346657, "params": [0.8992, 0.9078, 0.68, 0.6792, 0.9009, 0.8997, 0.9032, 0.8965000000000001, 0.8979, 0.9023, -0.0037, -0.0014, 0.6808000000000001, 0.6466000000000001, 0.8952, 0.8944000000000001, -0.0058000000000000005, 0.0021000000000000003, 0.9049, 0.9031, 0.891... | 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)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(6) @ Z(4... | 14 | 10 | 1 | {"smallest_eigenvalues": [-4.125, -4.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.125, "smallest_bitstrings": ["0100010011", "0100011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.8992) q[0];
ry(0.68) q[1];
ry(0.9009) q[2];
ry(0.9032) q[3];
ry(0.8979) q[4];
ry(-0.0037) q[5];
ry(0.6808) q[6];
ry(0.8952) q[7];
ry(-0.0058) q[8];
ry(0.9049) q[9];
crx(0.8911) q[9], q[0];
crx(0.3073) q[8], q[9];
crx(-0.0002) q[7], q[8];
crx(0.8858) 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[... | null | {"circuits": [], "gradients": []} |
793122296946123597 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[9, 10, 4, 5], [1, 2], [0, 4, 5, 6], [9, 5, 6, 1], [8, 2, 10, 7], [0, 10, 3, 7], [1, 3, 6, 7], [8, 3, 4, 6], [9, 10, 3], [8, 5, 6], [8, 1, 5], [2, 6, 7], [1, 3, 5, 9], [8, 9, 0], [0, 8, 1], [0, 2, 5, 6]]} | {"states": [494, 1518], "expectation_value": -4.128242405781968, "params": [-1.5972000000000002, 0.1988, -0.0001, 2.5668, 1.6769, 0.0027, 2.2149, 0.0022, 2.9312, 0.0029000000000000002, 3.1389, -0.2874, 3.8053000000000003, -0.0022, 2.7093000000000003, -0.0027, 3.0329, 0.0024000000000000002, 3.1392, 0.0014, 0.00260000000... | 0.25 * (Z(9) @ Z(10)) + 0.08333333333333333 * (Z(4) @ Z(10)) + 0.08333333333333333 * (Z(4) @ Z(9)) + 0.08333333333333333 * (Z(5) @ Z(10)) + 0.25 * (Z(5) @ Z(9)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(9)) + 0.3333333333333333 * (Z(1) @ Z(5)) + 0.08333333333333333 * (Z(2) @ Z(10)) + 0.083... | 4 | 11 | 1 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.000000000000001, "smallest_bitstrings": ["01000010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-1.5972) q[0];
rz(0.1988) q[0];
rx(-0.0001) q[1];
rz(2.5668) q[1];
rx(1.6769) q[2];
rz(0.0027) q[2];
rx(2.2149) q[3];
rz(0.0022) q[3];
rx(2.9312) q[4];
rz(0.0029) q[4];
rx(3.1389) q[5];
rz(-0.2874) q[5];
rx(3.8053) q[6];
rz(-0.0022) q[6];
rx(2.7093) 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": []} |
7a0d4423aa0ea6dfcc8e478dc00ab0ee | 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": 1, "target": 5}, {"source": 2, "target": 5}, {"source": ... | {"states": [1009, 1008], "expectation_value": -1.112649856076518, "params": [[0.0579], [-0.0526]], "bitstrings": ["0000001110", "0000001111"], "total_optimization_steps": 10, "probabilities": [0.0013925178280694258, 0.0014557072223239387], "optimization_time": 3.1521780490875244} | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(1)) + -2.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -2.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + -2.5 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(6)) + 0.5 ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["0000001111"]} | 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[2], q[0];
rz(-0.1737) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0579) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0579) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.2316) q[3];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[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[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
... | {"node": 10} | {"circuits": [], "gradients": []} |
5c8d577142051cc6578aa40532e6b2ab | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 1, "s... | {"states": [161, 163], "expectation_value": -8.44982084790732, "params": [0.029500000000000002, -0.1168, -0.0427, -0.1763, 0.35050000000000003, 0.08800000000000001, 0.4083, 0.0698, 0.0032, -0.20980000000000001, -0.0068000000000000005, -0.2102, 0.3476, 0.10160000000000001, 0.4153, 0.0695, 0.0021000000000000003, -0.1254,... | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + 1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(7)) + -0.25 * (Z(8) @ Z(1)) + -1.5 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(8)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) ... | 5 | 9 | 3 | {"smallest_eigenvalues": [-8.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.75, "smallest_bitstrings": ["101011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0295) q[0];
rz(-0.1168) q[0];
rx(0.3505) q[1];
rz(0.088) q[1];
rx(0.0032) q[2];
rz(-0.2098) q[2];
rx(0.3476) q[3];
rz(0.1016) q[3];
rx(0.0021) q[4];
rz(-0.1254) q[4];
rx(-0.0023) q[5];
rz(-0.2748) q[5];
rx(0.0018) q[6];
rz(-0.1508) q[6];
rx(0.3161) 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": 8} | {"circuits": [], "gradients": []} |
c342bef2de813f1345cbd4fd6b87e999 | 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": 7, "source": 0, "target": 1}, {"capacity": 7, "source": 0, "target": 2}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 5, "source": 0, ... | {"states": [0, 1], "expectation_value": -22.852079973812987, "params": [-0.0022, 0.25220000000000004, 0.0033, 0.3044, 0.0022, 0.3069, 0.0018000000000000002, -0.3037, 0.0012000000000000001, -0.2979, -0.0009000000000000001, 0.2722, 0.0011, 0.3158, 0.4035, 0.0063, 0.0027, 0.14400000000000002, 0.004, 0.30410000000000004, 0... | -1.75 * (Z(0) @ Z(1)) + -3.25 * (Z(2) @ Z(1)) + -1.75 * (Z(2) @ Z(0)) + -1.5 * (Z(4) @ Z(1)) + -1.75 * (Z(4) @ Z(0)) + 5.5 * (Z(7) @ Z(0)) + -1.5 * (Z(7) @ Z(4)) + -1.75 * (Z(5) @ Z(2)) + -1.75 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -2.25 * Z(1) +... | 3 | 8 | 4 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0022) q[0];
rz(0.2522) q[0];
rx(0.0033) q[1];
rz(0.3044) q[1];
rx(0.0022) q[2];
rz(0.3069) q[2];
rx(0.0018) q[3];
rz(-0.3037) q[3];
rx(0.0012) q[4];
rz(-0.2979) q[4];
rx(-0.0009) q[5];
rz(0.2722) q[5];
rx(0.0011) q[6];
rz(0.3158) q[6];
rx(0.4035) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
7028303035856942011 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 3], [8, 3, 5, 7], [0, 7], [2, 4], [1, 6]]} | {"states": [226, 234], "expectation_value": -2.024388143476385, "params": null, "bitstrings": ["100011101", "100010101"], "total_optimization_steps": 70, "probabilities": [0.07096064143074739, 0.731402390961904], "optimization_time": 395.6555256843567} | 0.16666666666666666 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(5)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.0833333333333335, -2.0833333333333335, -2.0833333333333335, -2.0833333333333335], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.083333333333333, "smallest_bitstrings": ["100010101", "100110100", "101000101", "101100100"]} | 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(1.1408) q[3];
cry(-1.0342) q[7], q[0];
ry(0.7922) q[7];
cry(-1.0342) q[1], q[6];
ry(0.7297) q[1];
cry(-1.0342) q[2], q[4];
ry(0.7003) q[2];
ry(-0.5311) q[0];
cry(0.4829) q[3], q[7];
ry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.1408) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
d255f243d36c9a74978598fd3f1ae2aa | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 3, "s... | {"states": [19, 1], "expectation_value": -17.88778721359442, "params": null, "bitstrings": ["111101100", "111111110"], "total_optimization_steps": 50, "probabilities": [0.059050184850166304, 0.7945109392157653], "optimization_time": 79.01208925247192} | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(6)) + -0.25 * (Z(1) @ Z(2)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(8) @ Z(2)) + 3.0 * (Z(8) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.25, "smallest_bitstrings": ["111111110"]} | 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(-0.7408) q[4];
ry(-1.5709) q[6];
ry(1.5708) q[8];
ry(-0.9755) q[0];
cry(0.3011) q[8], q[4];
cry(0.0039) q[8], q[0];
cry(-1.1311) q[7], q[4];
cry(-0.5992) q[5], q[0];
ry(-1.5703) q[5];
r... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-0.7408) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
d53bc6bd432bf4983d084051835cbd3e | 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": 5, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 7}, {"capac... | {"states": [0, 1], "expectation_value": -19.157963433641008, "params": [0.0031000000000000003, 0.5306000000000001, 0.0028, 0.5814, 0.007, -0.003, 0.0025, 0.5696, 0.15910000000000002, -0.298, 0.0028, 0.5933, 0.0024000000000000002, 0.5949, 0.0023, 0.5786, 0.0028, 0.6065, 0.8047000000000001, -0.0013000000000000002, 0.0031... | -1.25 * (Z(0) @ Z(1)) + -0.25 * (Z(6) @ Z(0)) + -0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -0.75 * (Z(8) @ Z(1)) + -1.25 * (Z(8) @ Z(0)) + -1.25 * (Z(8) @ Z(6)) + -1.0 * (Z(8) @ Z(7)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(8)) + -1.0 * (Z(9) @ Z(1)) + 3.75 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @... | 4 | 10 | 2 | {"smallest_eigenvalues": [-22.5, -22.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -20.5, "smallest_bitstrings": ["1111111110", "1111011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0031) q[0];
rz(0.5306) q[0];
rx(0.0028) q[1];
rz(0.5814) q[1];
rx(0.007) q[2];
rz(-0.003) q[2];
rx(0.0025) q[3];
rz(0.5696) q[3];
rx(0.1591) q[4];
rz(-0.298) q[4];
rx(0.0028) q[5];
rz(0.5933) q[5];
rx(0.0024) q[6];
rz(0.5949) q[6];
rx(0.0023) 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": 9} | {"circuits": [], "gradients": []} |
9b6c90aee56ab84919f7c826e678a024 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [1, 3], "expectation_value": -3.5367130188442375, "params": [[[0.7641, 0.006200000000000001], [1.4046, 0.003], [0.5954, 0.0027], [1.6524, 0.0081], [1.6999000000000002, 0.0039000000000000003]]], "bitstrings": ["11110", "11100"], "total_optimization_steps": 170, "probabilities": [0.1188373445430693, 0.13994394... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -2.75 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.7641) q[0];
rz(0.0062) q[0];
rx(1.4046) q[1];
rz(0.003) q[1];
rx(0.5954) q[2];
rz(0.0027) q[2];
rx(1.6524) q[3];
rz(0.0081) q[3];
rx(1.6999) q[4];
rz(0.0039) q[4];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3];
c[4] = ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | {"k": 3} | {"circuits": [], "gradients": []} |
-5060350667914860631 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 3], [4, 6], [0, 5], [1, 10, 3], [10, 7], [10, 4, 5], [8, 2, 5], [8, 2, 6], [3, 7], [10, 2, 6], [9, 11, 6], [2, 4], [10, 5, 6], [0, 1, 6], [0, 1, 3], [1, 3, 4], [11, 4, 7], [9, 10], [10, 11, 6], [9, 1], [0, 2, 11], [0, 6, 7], [0, 10, 2], [9, 7], [0, 1,... | {"states": [1905, 1909], "expectation_value": -8.357953551862382, "params": [-0.0022, -0.7563000000000001, -0.0022, 0.0033, 1.6719000000000002, -0.003, 0.8867, -0.0014, 1.5724, 0.0024000000000000002, 1.5647, 0.0053, 1.5618, -0.0022, 1.5759, 0.0188, 0.002, -0.9717, 0.0021000000000000003, 0.009600000000000001, 1.70810000... | 0.5 * (Z(8) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + 0.3333333333333333 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(0) @ Z(6)) + 0.3333333333333333 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.66666666666... | 8 | 12 | 1 | {"smallest_eigenvalues": [-8.666666666666664], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["100010001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.0022) q[0];
rz(-0.7563) q[0];
rx(1.6719) q[1];
rz(-0.003) q[1];
rx(1.5724) q[2];
rz(0.0024) q[2];
rx(1.5618) q[3];
rz(-0.0022) q[3];
rx(0.002) q[4];
rz(-0.9717) q[4];
rx(1.7081) q[5];
rz(0.0068) q[5];
rx(1.5669) q[6];
rz(0.0024) q[6];
rx(1.9198) 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": []} |
ac36c5a153720f2afd43ce774542e80a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capaci... | {"states": [29, 31], "expectation_value": -4.372957453020678, "params": null, "bitstrings": ["100010", "100000"], "total_optimization_steps": 49, "probabilities": [0.2979775772741875, 0.44049318025090617], "optimization_time": 44.96755313873291} | -0.25 * (Z(0) @ Z(1)) + -2.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(3) + 2.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-10.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.25, "smallest_bitstrings": ["100000"]} | 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];
cry(1.5708) q[3], q[1];
cry(1.5708) q[1], q[5];
cry(-1.5708) q[5], q[0];
ry(1.5486) q[2];
cry(0.7984) q[5], q[3];
ry(-0.1772) q[1];
cry(-0.0403) q[4], q[1];
cry(-0.0037) q[2], q[1];
cry(0.2525) q... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[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 \"stdgat... |
7d377871db785144e96b2ab337be680a | 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": 3}, {"source": 1, "target": 2}, {"source": 2, "... | {"states": [783, 3855], "expectation_value": -19.174774916505907, "params": null, "bitstrings": ["110011110000", "000011110000"], "total_optimization_steps": 100, "probabilities": [0.09261342075937051, 0.5152400816602785], "optimization_time": 217.92230415344238} | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + -2.5 * (Z(5) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + -2.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + -2.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * (Z(8) @ Z(9)) + -2.0 * (Z(11) @ Z(9)) + -2... | 1 | 12 | 1 | {"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["000011110000"]} | 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];
ry(-1.5708) q[5];
ry(-1.5577) q[7];
cry(1.5706) q[10], q[11];
ry(1.056) q[10];
cry(1.5708) q[11], q[9];
cry(1.5708) q[9], q[8];
cry(-0.6304) q[9], q[11];
cry(-0... | 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];\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];... |
-2447526728889515496 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[3, 4], [1, 11, 6], [0, 11], [1, 3], [8, 2, 3], [4, 7], [0, 3, 5], [0, 2], [9, 10], [10, 7], [0, 1], [8, 2, 4], [2, 6], [10, 11], [1, 4], [1, 7], [0, 6], [4, 6], [3, 6], [0, 10], [9, 7], [9, 11, 4], [8, 5, 7], [3, 9, 11], [8, 9, 3], [10, 5], [9, 5, 1], [0... | {"states": [1901, 1645], "expectation_value": -4.984059668072741, "params": [0.28400000000000003, -0.4914, 0.2909, 0.008400000000000001, 1.0827, 0.0188, 1.0748, -0.0049, 1.2906, 0.007500000000000001, 1.2903, 0.008400000000000001, 0.7694000000000001, -0.4829, 0.7718, -0.5306000000000001, 0.28090000000000004, -0.5169, 0.... | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(11) @ Z(4)) + 0.16666666666666666 * (Z(11) @ Z(3)) + 0.16666666666666666 * (Z(11) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(11)) + 0.16666666666666... | 8 | 12 | 1 | {"smallest_eigenvalues": [-6.833333333333331], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.500000000000001, "smallest_bitstrings": ["100110010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.284) q[0];
rz(-0.4914) q[0];
rx(1.0827) q[1];
rz(0.0188) q[1];
rx(1.2906) q[2];
rz(0.0075) q[2];
rx(0.7694) q[3];
rz(-0.4829) q[3];
rx(0.2809) q[4];
rz(-0.5169) q[4];
rx(1.0662) q[5];
rz(-0.0129) q[5];
rx(1.2308) q[6];
rz(0.0524) q[6];
rx(0.2676) 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": []} |
ad7ba83290870f78ee39f06faaa6d5c0 | 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": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [125, 127], "expectation_value": -0.3253140547891851, "params": [[-0.0397, -0.030000000000000002, 0.0736], [0.048600000000000004, 0.053200000000000004, -0.042800000000000005]], "bitstrings": ["10000010", "10000000"], "total_optimization_steps": 10, "probabilities": [0.005050922764681, 0.005108027118870641], ... | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(7)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(6)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["10000000", "10000010", "10000110"]} | 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[3], q[0];
rz(0.0198) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(0.0198) q[4];
cx q[0], q[4];
cx q[3], q[7];
rz(0.0595) q[7];
cx q[3], q[7];
cx q[0], q[7];
rz(-0.0595) q[7];
cx q[0], q[7];
cx q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
d84f9d44a9dfbf26b97835693b75dc35 | 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": 7, "source": 0, "target": 2}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 6, "source": 2, "target": 4... | {"states": [9, 11], "expectation_value": -0.7488667531902041, "params": [[0.0738], [-0.0804]], "bitstrings": ["1110110", "1110100"], "total_optimization_steps": 10, "probabilities": [0.011189747064937148, 0.011974027175377688], "optimization_time": 1.52298903465271} | -1.75 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -1.75 * Z(2) + -0.25 * Z(0) + 1.0 * Z(1) + 0.5 * Z(3) + -0.75 * Z(4) + 0.75 * Z(6) + 0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["1110100"]} | 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(-0.2583) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.2214) q[1];
cx q[2], q[1];
cx q[1], q[3];
rz(-0.0369) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(-0.2214) q[4];
cx q[2], q[4];
cx q[1], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
6c28370939b7d49c2e67d552301e0191 | community_detection | 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": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target... | {"states": [38314, 21930], "expectation_value": -2.0202365832116, "params": [[[3.1390000000000002, 0.0064], [1.6332, 0.0043], [3.1392, 0.0007], [-3.1479000000000004, 0.006500000000000001], [3.1390000000000002, 0.0054], [-3.1484, 0.004], [3.1393, 0.0032], [0.0031000000000000003, 0.0074], [3.1393, 0.0061], [-3.1527000000... | 0.25 * (Z(0) @ Z(1)) + 0.00015432098765432098 * (Z(2) @ Z(0)) + 0.00015432098765432098 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00015432098765432098 * (Z(4) @ Z(0)) + -0.0010802469135802468 * (Z(4) @ Z(2)) + 0.00015432098765432098 * (Z(5) @ Z(1)) + -0.0010802469135802468 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 2 | 16 | 1 | {"smallest_eigenvalues": [-2.0229938271604664], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0229938271604597, "smallest_bitstrings": ["1010101001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(3.139) q[0];
rz(0.0064) q[0];
rx(1.6332) q[1];
rz(0.0043) q[1];
rx(3.1392) q[2];
rz(0.0007) q[2];
rx(-3.1479) q[3];
rz(0.0065) q[3];
rx(3.139) q[4];
rz(0.0054) q[4];
rx(-3.1484) q[5];
rz(0.004) q[5];
rx(3.1393) q[6];
rz(0.0032) q[6];
rx(0.0031) 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[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
bf4add572440a54c4b1876ae107925c6 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"sour... | {"states": [73, 329], "expectation_value": -5.555389683723754, "params": [[0.9031, -0.0019, 1.071, 0.0012000000000000001, -0.1194, 1.0737, -0.057100000000000005, -0.0, 1.0991], [-0.15460000000000002, -0.0018000000000000002, 1.0693000000000001, 0.0024000000000000002, 0.2101, 1.0793000000000001, 0.06910000000000001, 0.00... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + -1.0 * Z(3) + -0.5 * Z(0) + -0.5 *... | 10 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["011110010", "111001001", "010110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.9031) q[0];
ry(-0.0019) q[1];
ry(1.071) q[2];
ry(0.0012) q[3];
ry(-0.1194) q[4];
ry(1.0737) q[5];
ry(-0.0571) q[6];
ry(0) q[7];
ry(1.0991) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
766ad5c893fdabef4db5a6d615ba911f | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 20, "source": 0, "target": 2}, {"weight": 13, "source": 0, "target": 4}, {... | {"states": [234, 122], "expectation_value": -29.46072096990816, "params": [[-0.0287, -0.0047, 0.07830000000000001], [0.0683, 0.06520000000000001, -0.0417]], "bitstrings": ["00010101", "10000101"], "total_optimization_steps": 10, "probabilities": [0.013696691056820736, 0.01576179239494676], "optimization_time": 6.310807... | 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(1)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.5, "smallest_bitstrings": ["10000101"]} | 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(-0.2296) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2296) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2296) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2296) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
abc01bbbec8df6018b1ccc06153a1aa6 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [84, 100], "expectation_value": -0.23302683725495446, "params": [[-0.0711], [0.0574]], "bitstrings": ["0101011", "0011011"], "total_optimization_steps": 20, "probabilities": [0.00867042247172537, 0.008670422471725373], "optimization_time": 3.104290723800659} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -1.0 * Z(1) + -1.0 * Z(2) + -1.5 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0011011", "0101011"]} | 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[3], q[0];
rz(-0.0711) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(-0.0711) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(-0.0711) q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(-0.0711) q[1];
cx q[3], q[1];
cx q[3], q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(x0) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(... | null | {"circuits": [], "gradients": []} |
1acf7607c7ee29e36b87a4b01083b206 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "source": 3, "target": 5}, {"capaci... | {"states": [0, 31], "expectation_value": -0.7747645518889985, "params": [[0.3377, 0.3478, 0.40800000000000003, 0.41050000000000003, 0.1014, 0.2245], [-0.3864, 0.4107, 0.39490000000000003, 0.39480000000000004, 0.41100000000000003, 0.383], [0.3221, 0.3607, 0.38770000000000004, 0.3942, 0.38670000000000004, 0.3431], [0.358... | -1.5 * (Z(0) @ Z(4)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + -1.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(5) | 9 | 6 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100000"]} | 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];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(0.3377) q[0];
rx(0.3478) q[1];
rx(0.408) q[2];
rx(0.4105) q[3];
rx(0.1014) q[4];
rx(0.2245) q[5];
h q[0];
h q[1];
h q[2];
h q[3];
h q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
-8362379075675414370 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[8, 11, 6], [0, 3], [1, 2, 3, 5, 10, 11, 12], [0, 8], [0, 2, 5, 6, 9, 10], [0, 2, 4, 6, 7, 10], [8, 11, 3, 5]]} | {"states": [1789, 1781], "expectation_value": -2.1600949776957834, "params": [0.0025, 0.0025, 0.0025, 0.0018000000000000002, 0.924, 2.2207, 1.5819, 1.5545, 1.6219000000000001, 1.5232, 1.5666, 1.5704, 1.3397000000000001, 1.8067000000000002, 1.5689000000000002, 1.5670000000000002, 1.5645, 1.5716, 2.319, 2.3551, 1.5105000... | 0.25 * (Z(8) @ Z(11)) + 0.16666666666666666 * (Z(6) @ Z(11)) + 0.16666666666666666 * (Z(6) @ Z(8)) + 0.5 * (Z(0) @ Z(8)) + 0.06666666666666667 * (Z(0) @ Z(6)) + 0.10714285714285714 * (Z(3) @ Z(11)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(0)) + 0.023809523809523808 * (Z(1) @ Z(11)) + 0.023809523809523808... | 14 | 13 | 1 | {"smallest_eigenvalues": [-2.173809523809524, -2.173809523809524], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.1738095238095236, "smallest_bitstrings": ["1100000101010", "1100100001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.0025) q[0];
ry(0.0025) q[1];
ry(0.924) q[2];
ry(1.5819) q[3];
ry(1.6219) q[4];
ry(1.5666) q[5];
ry(1.3397) q[6];
ry(1.5689) q[7];
ry(1.5645) q[8];
ry(2.319) q[9];
ry(1.5105) q[10];
ry(1.5925) q[11];
ry(1.2038) q[12];
crx(-0.0031) q[12], q[0];
crx(0.0066... | OPENQASM 3.0;
include "stdgates.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": []} |
42fc1cab65130010b16c5206f9faaa99 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [5, 7], "expectation_value": -13.872915434250244, "params": [[[0.2795, -0.18130000000000002], [0.2318, 0.1869], [0.1965, 0.1958], [0.2788, 0.1821], [0.25830000000000003, -0.1839], [0.5917, 0.0014], [0.5894, 0.0021000000000000003], [0.5989, 0.0016]], [[0.28300000000000003, -0.1812], [0.23620000000000002, 0.18... | 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 | 8 | 3 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.2795) q[0];
rz(-0.1813) q[0];
rx(0.2318) q[1];
rz(0.1869) q[1];
rx(0.1965) q[2];
rz(0.1958) q[2];
rx(0.2788) q[3];
rz(0.1821) q[3];
rx(0.2583) q[4];
rz(-0.1839) q[4];
rx(0.5917) q[5];
rz(0.0014) q[5];
rx(0.5894) q[6];
rz(0.0021) q[6];
rx(0.5989) 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[... | {"k": 5} | {"circuits": [], "gradients": []} |
-5844117089307843228 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 3], [0, 3], [0, 1], [1, 4], [1, 5]]} | {"states": [20, 43], "expectation_value": -0.06021667288502984, "params": [[-0.0826], [0.0743]], "bitstrings": ["101011", "010100"], "total_optimization_steps": 10, "probabilities": [0.017562855610264945, 0.017562855610264945], "optimization_time": 0.4223620891571045} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["101011", "010100"]} | 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[3], q[2];
rz(-0.0826) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.0826) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(-0.0826) q[1];
cx q[0], q[1];
cx q[1], q[4];
rz(-0.0826) q[4];
cx q[1], q[4];
cx q[1], q[5];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[1], q[4];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
1015795347825022787 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 6], [0, 4], [1, 7], [1, 2], [3, 5]]} | {"states": [198, 208], "expectation_value": -0.018882221161954815, "params": [[-0.0408], [0.0466]], "bitstrings": ["00111001", "00101111"], "total_optimization_steps": 10, "probabilities": [0.004055671878536353, 0.004055671878536353], "optimization_time": 1.445117473602295} | 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.5, "smallest_bitstrings": ["01011000", "00101111", "01001110", "10100111", "11010000", "11000110", "00111001", "10110001"]} | 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[6], q[3];
rz(-0.0408) q[3];
cx q[6], q[3];
cx q[4], q[0];
rz(-0.0408) q[0];
cx q[4], q[0];
cx q[7], q[1];
rz(-0.0408) q[1];
cx q[7], q[1];
cx q[1], q[2];
rz(-0.0408) q[2];
cx q[1], q[2];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[3];
rz(x0) q[3];
cx q[6], q[3];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[7], q[1];
rz(x0) q[1];
cx q[7], q[1];
cx q[1]... | null | {"circuits": [], "gradients": []} |
52a084c3837e8103860964e17ff664ad | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 6}, {"weight": 6, "source": 2, "target": 3}, {"weight": 17, "source... | {"states": [171, 169], "expectation_value": -44.937272889164646, "params": [[[0.0022, 0.6042000000000001], [0.7821, 0.0007], [-0.0007, 0.5198], [0.7873, 0.0037], [0.1537, -0.33340000000000003], [0.7982, 0.0025], [0.14650000000000002, -0.33], [0.48040000000000005, 0.1668], [0.7943, 0.0024000000000000002]], [[0.0037, 0.6... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-60.0, -60.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -57.0, "smallest_bitstrings": ["111010110", "101010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0022) q[0];
rz(0.6042) q[0];
rx(0.7821) q[1];
rz(0.0007) q[1];
rx(-0.0007) q[2];
rz(0.5198) q[2];
rx(0.7873) q[3];
rz(0.0037) q[3];
rx(0.1537) q[4];
rz(-0.3334) q[4];
rx(0.7982) q[5];
rz(0.0025) q[5];
rx(0.1465) q[6];
rz(-0.33) q[6];
rx(0.4804) 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[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
5f46e3caaa931f446d5d37e76f941f6b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6... | {"states": [126, 1], "expectation_value": -0.8553345365903747, "params": [[-0.0097, 0.0022, -0.039400000000000004, -0.0731], [-0.0001, -0.0362, -0.0051, 0.0611]], "bitstrings": ["0000001", "1111110"], "total_optimization_steps": 10, "probabilities": [0.011356845091418297, 0.012606591741805933], "optimization_time": 5.9... | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(0)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(5)) + -1.0 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(2)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.5 ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["1111110"]} | 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(0.0146) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(0.0049) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(0.0146) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0243) q[5];
cx q[0], q[5];
cx q[0], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
4c69a0d1058ca2b5155124f5da9aed6f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "targ... | {"states": [16380, 16383], "expectation_value": -21.931399811250355, "params": [[[-0.9268000000000001, 1.2053], [-0.0, 1.0417], [0.0025, 0.0044], [0.0028, 0.0021000000000000003], [0.003, 0.4817], [0.0029000000000000002, -0.0031000000000000003], [0.0021000000000000003, 0.0019], [0.0027, -0.0021000000000000003], [0.0022,... | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(6)) + -2.0 * (Z(8) @ Z(9)) + 1.0 * (Z(10) @ Z(9)) + -2... | 15 | 14 | 1 | {"smallest_eigenvalues": [-29.000000000000107], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.999999999999922, "smallest_bitstrings": ["00000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
ry(-0.9268) q[0];
ry(0) q[1];
ry(0.0025) q[2];
ry(0.0028) q[3];
ry(0.003) q[4];
ry(0.0029) q[5];
ry(0.0021) q[6];
ry(0.0027) q[7];
ry(0.0022) q[8];
ry(0.002) q[9];
ry(0.003) q[10];
ry(0.0026) q[11];
ry(0.0017) q[12];
ry(0.3304) q[13];
cx q[13], q[0];
cx q[12... | OPENQASM 3.0;
include "stdgates.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": 14} | {"circuits": [], "gradients": []} |
-8086572058537082369 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 7], [0, 1], [1, 7], [1, 5, 6], [4, 5, 6], [0, 3, 5], [0, 2, 4]]} | {"states": [167, 124], "expectation_value": -0.04299370530331366, "params": [[0.0656], [-0.0563]], "bitstrings": ["01011000", "10000011"], "total_optimization_steps": 10, "probabilities": [0.004198684676303187, 0.00419872690744184], "optimization_time": 2.328295946121216} | 0.5 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(4)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8333333333333326, "smallest_bitstrings": ["10000011"]} | 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[7], q[3];
rz(0.0656) q[3];
cx q[7], q[3];
cx q[3], q[0];
rz(0.0219) q[0];
cx q[3], q[0];
cx q[7], q[1];
rz(0.0656) q[1];
cx q[7], q[1];
cx q[0], q[1];
rz(0.0656) q[1];
cx q[0], q[1];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[3];
rz(x0) q[3];
cx q[7], q[3];
cx q[3], q[0];
rz(x1) q[0];
cx q[3], q[0];
cx q[7], q... | null | {"circuits": [], "gradients": []} |
984069cd50d39f7e5d4b40fb03f5527d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 2}, {"weight": 20, "source": 1, "target": 4}, {"weight": 16, "source": 1, "target": 5}, ... | {"states": [246, 118], "expectation_value": -17.78805319895909, "params": [[0.0222, 0.019, -0.0049], [-0.0436, -0.0626, -0.049]], "bitstrings": ["00001001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.01074243057136867, 0.013321625771601358], "optimization_time": 5.864362478256226} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 9.0 * Z(0) + 14.0 * Z(2) + 16.0 * Z(3) + 4... | 1 | 8 | 3 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "smallest_bitstrings": ["10001001"]} | 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(0.1776) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.1776) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.1776) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.1776) q[3];
cx q[2], q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
ad71d37a0322c377fa72374b67c57129 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2},... | {"states": [0, 127], "expectation_value": -5.377163277826683, "params": [[0.0755], [-0.07730000000000001]], "bitstrings": ["11111111111", "11110000000"], "total_optimization_steps": 10, "probabilities": [0.0011831834884159184, 0.0012067002041655887], "optimization_time": 7.464422941207886} | -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -3.5 * (Z(4) @ Z(5)) + -3.5 * (Z(6) @ Z(5)) + -3.5 * (Z(6) @ Z(4)) + -3.0 * (Z(9) @ Z(5)) + -3.5 * (Z(9) @ Z(4)) + -3.5 * (Z(9) @ Z(6)) + 1.0 * (Z(10) @ Z(5)) + -2.5 * (Z(10) @ Z(4)) + -3.5 * (Z(10) @ Z(6)) ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-47.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -46.5, "smallest_bitstrings": ["11110000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(-0.3775) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0755) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.302) q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(-0.302) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 4} | {"circuits": [], "gradients": []} |
1dfc8624fda96162c7d1b6eca3607f2c | 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": 5, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 4}, {"weight": 7, "source": 2, "target": 3}, {"weight": ... | {"states": [343, 342], "expectation_value": -89.22930286996444, "params": [0.19240000000000002, 0.0066, 0.7918000000000001, -0.0036000000000000003, 0.2872, 0.0507, 0.7715000000000001, -0.097, 0.3909, -0.2811, 0.7759, 0.0495, 0.1419, -0.1452, 0.5772, -0.18150000000000002, 0.7571, 0.1015, 0.4168, 0.1484, 0.19440000000000... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(7)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(9) @ Z(5)) + 5.5 * (Z(9) @ Z(7)) + 5.5 * (Z(9) @ Z(8)) + 21.0 * Z(1) ... | 4 | 10 | 4 | {"smallest_eigenvalues": [-102.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.0, "smallest_bitstrings": ["1010101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.1924) q[0];
rz(0.0066) q[0];
rx(0.7918) q[1];
rz(-0.0036) q[1];
rx(0.2872) q[2];
rz(0.0507) q[2];
rx(0.7715) q[3];
rz(-0.097) q[3];
rx(0.3909) q[4];
rz(-0.2811) q[4];
rx(0.7759) q[5];
rz(0.0495) q[5];
rx(0.1419) q[6];
rz(-0.1452) q[6];
rx(0.5772) 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... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
d0adf87c438fa85bf55807406cfe450e | community_detection | 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": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [43605, 43621], "expectation_value": -1.7091509585592808, "params": null, "bitstrings": ["0101010110101010", "0101010110011010"], "total_optimization_steps": 100, "probabilities": [0.12230173089148537, 0.26796088766165826], "optimization_time": 899.4875898361206} | 0.25 * (Z(0) @ Z(1)) + -0.0005000000000000001 * (Z(2) @ Z(0)) + -0.0005000000000000001 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0008749999999999999 * (Z(4) @ Z(0)) + -0.00075 * (Z(4) @ Z(2)) + -0.0008749999999999999 * (Z(5) @ Z(1)) + -0.00075 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0006875000000000002 * (Z(6) @ ... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.017499999999952], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0174999999999454, "smallest_bitstrings": ["0101010110011010"]} | 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];
cry(-0.5947) q[2], q[3];
cry(-0.5941) q[10], q[11];
cry(-0.5945) q[6], q[7];
cry(-0.5942) q[0], q[1];
cry(-0.5937) q[4], q[5... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncry(-0.5947) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[... |
1879128391348251179 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 3], [0, 1, 2, 5], [0, 2, 4], [0, 4, 5], [3, 5]]} | {"states": [59, 27], "expectation_value": -1.2908236347035613, "params": [[[1.4867000000000001, 0.009000000000000001], [2.7045000000000003, 0.0089], [1.7602, 0.0045000000000000005], [0.4806, 0.0012000000000000001], [2.692, 0.0041], [2.7041, 0.0025]]], "bitstrings": ["000100", "100100"], "total_optimization_steps": 270,... | 0.5 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.1... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.9166666666666672], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(1.4867) q[0];
rz(0.009) q[0];
rx(2.7045) q[1];
rz(0.0089) q[1];
rx(1.7602) q[2];
rz(0.0045) q[2];
rx(0.4806) q[3];
rz(0.0012) q[3];
rx(2.692) q[4];
rz(0.0041) q[4];
rx(2.7041) q[5];
rz(0.0025) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure 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[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} |
ead5b47990aff308f37407aa5bdb12e1 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4},... | {"states": [2047, 1023], "expectation_value": -1.006541827482713, "params": [[0.07010000000000001], [-0.0685]], "bitstrings": ["00000000000", "10000000000"], "total_optimization_steps": 10, "probabilities": [0.0008265296854038683, 0.0008424975870870132], "optimization_time": 2.865227222442627} | -1.5 * (Z(1) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(7) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + -2.0 * (Z(10) @ Z(7)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(10)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 *... | 1 | 11 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[2], q[1];
rz(-0.2103) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.2103) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.2103) q[3];
cx q[1], q[3];
cx q[6], q[4];
rz(-0.2103... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x0) q[3]... | {"node": 1} | {"circuits": [], "gradients": []} |
05d49a7fc39b30c4a6fe8fddcf8a0ac0 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [35, 88], "expectation_value": -0.5761277198947709, "params": [[0.020800000000000003, -0.0333, -0.0495, -0.0835], [-0.06670000000000001, -0.0198, 0.029300000000000003, 0.0688]], "bitstrings": ["1011100", "0100111"], "total_optimization_steps": 10, "probabilities": [0.011067341869004082, 0.011068729322863], "... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + -1.5 * Z(6) + -1.0 * Z(3) + -0.5 * Z(2) + -1.5 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1011100", "0100111", "1100101", "1001101"]} | 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(0.0208) q[0];
cx q[1], q[0];
cx q[0], q[5];
rz(0.0208) q[5];
cx q[0], q[5];
cx q[0], q[6];
rz(0.0208) q[6];
cx q[0], q[6];
cx q[1], q[3];
rz(0.0208) q[3];
cx q[1], q[3];
cx q[6], 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[... | null | {"circuits": [], "gradients": []} |
0ae9b6f2b61290137ab22e2dafb0c164 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [10, 20], "expectation_value": -0.3772242652256157, "params": [[-0.07100000000000001, -0.0519], [0.0765, 0.06330000000000001]], "bitstrings": ["10101", "01011"], "total_optimization_steps": 10, "probabilities": [0.03890591113380744, 0.04055407454149666], "optimization_time": 2.0999250411987305} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["11100", "01011", "10101"]} | 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[1], q[0];
rz(-0.071) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.071) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.071) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.071) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(-0.071) q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz... | null | {"circuits": [], "gradients": []} |
e17d4522d06c74511ede822588421ebb | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "... | {"states": [0, 4095], "expectation_value": -11.47084104962307, "params": [-0.025, 1.4318, 0.26980000000000004, 1.7418, 0.5920000000000001, 0.3074, 0.0128, 1.7087, 0.7047, 0.7609, -0.22970000000000002, 0.7048, 0.7041000000000001, 0.8655, -0.1165, 1.4554, 0.6962, 1.337, 0.149, 1.3507, 0.7108, 1.2870000000000001, 0.1526, ... | 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(0) @ Z(5)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + -1.5 * (Z(10) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(10)) + 0.5 * (Z(11) @ Z(10)) + -2.0 * (Z(11) @ Z(2)) + 0.5 * (Z(3) @ Z(10)) ... | 6 | 12 | 2 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.025) q[0];
rz(1.4318) q[0];
rx(0.592) q[1];
rz(0.3074) q[1];
rx(0.7047) q[2];
rz(0.7609) q[2];
rx(0.7041) q[3];
rz(0.8655) q[3];
rx(0.6962) q[4];
rz(1.337) q[4];
rx(0.7108) q[5];
rz(1.287) q[5];
rx(-0.5727) q[6];
rz(1.4177) q[6];
rx(0.7455) q[7];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 0} | {"circuits": [], "gradients": []} |
d56c975033dd057e743f83adc19a7c34 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [90, 75], "expectation_value": -4.29075310265557, "params": null, "bitstrings": ["0100101", "0110100"], "total_optimization_steps": 49, "probabilities": [0.04780107677691066, 0.861540349460794], "optimization_time": 50.81674790382385} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0110100"]} | 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[4];
ry(-1.4449) q[5];
ry(1.4449) q[3];
cry(-1.0398) q[6], q[2];
cry(-1.0398) q[0], q[1];
ry(0.7022) q[6];
ry(0.7022) q[0];
ry(-0.4578) q[2];
cry(0.497) q[3], q[6];
ry(-0.4578) q[1];
cry(0.49... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
9ddcebaaa376040d7f40e787f62c4ee2 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [92, 86], "expectation_value": -4.999899060659704, "params": null, "bitstrings": ["0100011", "0101001"], "total_optimization_steps": 33, "probabilities": [1.641480323199846e-05, 0.9999303742100574], "optimization_time": 30.673462867736816} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(6) + 0.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(1) + -0.5 * Z(4) + -0.5 * Z(5) + -1.0 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101001"]} | 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(-1.5681) q[1];
ry(-1.4449) q[3];
ry(1.4449) q[0];
ry(1.4449) q[4];
ry(1.4417) q[5];
ry(1.4417) q[2];
cry(-0.1259) q[5], q[3];
cry(0.1217) q[0], q[2];
cry(0.1216) q[2], q[5];
cry(0.118... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
-5926637294448999004 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1], [1, 7], [8, 2], [9, 7], [0, 9], [0, 6], [3, 5], [9, 6], [4, 6], [0, 4], [9, 4], [8, 3], [5, 6]]} | {"states": [566, 716], "expectation_value": -0.11307490531597324, "params": [[-0.06280000000000001], [0.0708]], "bitstrings": ["0111001001", "0100110011"], "total_optimization_steps": 10, "probabilities": [0.0011399651255472952, 0.0011399651255472952], "optimization_time": 2.200469970703125} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(4) @ Z(6)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0111001001", "0100110011", "1011001100", "1000110110"]} | 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[0];
rz(-0.0628) q[0];
cx q[1], q[0];
cx q[1], q[7];
rz(-0.0628) q[7];
cx q[1], q[7];
cx q[2], q[8];
rz(-0.0628) q[8];
cx q[2], q[8];
cx q[0], q[9];
rz(-0.0628) q[9];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[7];
rz(x0) q[7];
cx q[1], q[7];
cx q[2], q[8];
rz(x0) q[8];
cx q... | null | {"circuits": [], "gradients": []} |
96305340bd3434ff7165509b49e3aa98 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [6, 22], "expectation_value": -1.8593353319108061, "params": [0.16440000000000002, 0.162, 0.18430000000000002, 0.1802, 0.1968, 0.1978, 0.0004, 0.0032, 0.19940000000000002, 0.193, 0.2013, 0.1967, 0.0038, -0.0026000000000000003, 0.1645, 0.1608, 0.18660000000000002, 0.1804, 0.203, 0.199, -0.0024000000000000002,... | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(2)) + -0.25 * Z(0) + 0.0 * Z(2) + -0.25 * Z(1) + -1.0 * Z(3)... | 14 | 7 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["1101001", "0101011", "1001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.1644) q[0];
ry(0.1843) q[1];
ry(0.1968) q[2];
ry(0.0004) q[3];
ry(0.1994) q[4];
ry(0.2013) q[5];
ry(0.0038) q[6];
crx(0.04) q[6], q[0];
crx(-0.0055) q[5], q[6];
crx(0.1931) q[4], q[5];
crx(-0.0437) q[3], q[4];
crx(-0.0024) q[2], q[3];
crx(-0.0103) q[1], 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] 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 fl... | null | {"circuits": [], "gradients": []} |
2588d6bc234a2ebe9da283ea0a74ab37 | 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": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.12830369743789, "params": [[0.051300000000000005, -0.029300000000000003], [-0.0488, -0.012100000000000001]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004457912238267418, 0.004501264922357191], "optimization_time": 3.351492... | -0.5 * (Z(0) @ Z(6)) + -0.75 * (Z(1) @ Z(6)) + -0.25 * (Z(3) @ Z(6)) + -0.75 * (Z(3) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000"]} | 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[6], q[0];
rz(-0.0513) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(-0.077) q[1];
cx q[6], q[1];
cx q[6], q[3];
rz(-0.0257) q[3];
cx q[6], q[3];
cx q[1], q[3];
rz(-0.077) q[3];
cx q[1], q[3];
cx 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] 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": 7} | {"circuits": [], "gradients": []} |
348c13052b9cd507aa792296e385f0a4 | 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": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2... | {"states": [3, 1], "expectation_value": -9.499987376089177, "params": null, "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 20, "probabilities": [1.2623858499060669e-05, 0.9999873761304554], "optimization_time": 16.225788831710815} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.75 * Z(2) + 1.5 * Z(6) + -1.0 * Z(3) + -0.5 * Z(4) + -0.25 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"]} | 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(-1.5681) q[3];
ry(-1.5681) q[2];
ry(-1.5708) q[1];
ry(-1.5708) q[4];
ry(-1.4449) q[5];
cry(-0.1188) q[6], q[5];
cry(-0.0027) q[6], q[2];
cry(-0.0027) q[6], q[3];
c[0]... | 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", "... |
-6788165047368714423 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[5, 6], [0, 3, 5], [2, 4, 6], [0, 2], [0, 6, 7], [1, 3, 4, 5], [0, 8, 5, 1]]} | {"states": [436, 437], "expectation_value": -2.422001334918454, "params": null, "bitstrings": ["001001011", "001001010"], "total_optimization_steps": 60, "probabilities": [0.09659908097979324, 0.8393557845396618], "optimization_time": 85.78908205032349} | 0.5 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.5000000000000013], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4166666666666674, "smallest_bitstrings": ["001001010"]} | 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(1.4074) q[0];
cry(-1.2249) q[0], q[2];
ry(1.396) q[4];
cry(-0.9002) q[6], q[5];
ry(0.9513) q[6];
cry(-0.6397) q[0], q[5];
cry(0.4357) q[0], q[6];
cry(1.0483) q[6], q[3];
cry(-0.4149) q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4074) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
4eebe9a8a97a840077f78c3a170e65f1 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3... | {"states": [126, 63], "expectation_value": -6.249992734363122, "params": null, "bitstrings": ["0000001", "1000000"], "total_optimization_steps": 62, "probabilities": [7.986917857680569e-07, 0.9999977902380801], "optimization_time": 73.78272032737732} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.25, "smallest_bitstrings": ["1000000"]} | 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(1.5486) q[5];
ry(1.5486) q[4];
ry(1.5485) q[2];
ry(1.5681) q[1];
cry(1.5708) q[1], q[3];
cry(1.5681) q[1], q[6];
cry(-1.4449) q[6], q[0];
cry(-0.1188) q[3], q[0];
cry(0.0223) q[1], q[2];
cry(0.0222) q[... | 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(1.5486) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
b8731370a37a57b385faa87c1fdef696 | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 8}, {"source": 2, "target": 3}, {"sour... | {"states": [293, 297], "expectation_value": -3.9190975868498974, "params": [[1.0029000000000001, -0.0029000000000000002, 0.8879, 0.9058, -0.0019, 0.8972, 0.8967, 0.015000000000000001, 1.0002], [0.3922, -0.003, 0.9018, 0.8988, -0.001, 0.907, 0.904, -0.0205, 0.37920000000000004], [1.0073, -0.003, 0.2773, 0.6472, -0.00290... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(8) + -0.5 * Z(2) + -0.5 * Z(7) + -0.... | 10 | 9 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -3.5, "smallest_bitstrings": ["011011010", "010111010", "010110110", "011010110", "000110111", "111001001", "001110101", "011010101", "000111011", "011011001", "0011... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.0029) q[0];
ry(-0.0029) q[1];
ry(0.8879) q[2];
ry(0.9058) q[3];
ry(-0.0019) q[4];
ry(0.8972) q[5];
ry(0.8967) q[6];
ry(0.015) q[7];
ry(1.0002) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
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[... | null | {"circuits": [], "gradients": []} |
9c501688ace9c1c29c4f2331e1f6f6c1 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "s... | {"states": [257, 1], "expectation_value": -15.645508305749798, "params": null, "bitstrings": ["011111110", "111111110"], "total_optimization_steps": 31, "probabilities": [0.3926532072499212, 0.6073467927499953], "optimization_time": 48.909594774246216} | -1.0 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(5)) + -1.0 * (Z(8) @ Z(2)) + 3.25 * (Z(8) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -1.25 * (Z(7) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-20.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["111111110"]} | 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(1.5708) q[8];
ry(-1.5577) q[0];
ry(-1.5708) q[4];
ry(-1.5708) q[1];
ry(-1.5708) q[5];
ry(-1.5708) q[2];
ry(-1.5708) q[6];
ry(-1.5708) q[3];
ry(-1.5708) q[7];
cry(1.3413) q[8], q[0];
c[0... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[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];\nc[6] = m... |
304fd695de2f001ef7b80a4aece01fa6 | 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": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": ... | {"states": [0, 256], "expectation_value": -13.345518342398817, "params": [-0.278, 0.010100000000000001, -0.055600000000000004, 0.0029000000000000002, 0.0196, 0.19840000000000002, -0.0109, 0.2898, 0.008400000000000001, 0.2351, -0.0045000000000000005, 0.311, 0.40390000000000004, -0.0008, 0.4011, -0.0006000000000000001, 0... | -0.25 * (Z(0) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(10) @ Z(4)) + -0.25 * (Z(10) @ Z(0)) + -0.75 * (Z(10) @ Z(6)) + -0.25 * (Z(1) @ Z(8)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(10)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(11) @ Z(4)) + -0.25 *... | 6 | 12 | 2 | {"smallest_eigenvalues": [-15.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["111011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.278) q[0];
rz(0.0101) q[0];
rx(0.0196) q[1];
rz(0.1984) q[1];
rx(0.0084) q[2];
rz(0.2351) q[2];
rx(0.4039) q[3];
rz(-0.0008) q[3];
rx(0.0026) q[4];
rz(0.3053) q[4];
rx(0.0011) q[5];
rz(0.3163) q[5];
rx(0.0014) q[6];
rz(0.275) q[6];
rx(0.0044) 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[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
c70c032d6cf345fcf24551d3b89848b4 | 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": 14, "source": 0, "target": 3}, {"weight": 9, "source": 2, "target": 3}, {"weight": ... | {"states": [486, 358], "expectation_value": -76.38636123378816, "params": [-0.0092, 0.2104, -0.011300000000000001, 0.21250000000000002, 0.38880000000000003, 0.038400000000000004, 0.3905, 0.0175, 0.1829, 0.1082, 0.18580000000000002, 0.1155, 0.3965, 0.021, 0.38970000000000005, 0.0223, 0.3935, -0.008, 0.38630000000000003,... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(8)) + 5.5 * (Z(7) @ Z(8)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(9) @ Z(8)) + 5.5 * (Z(9) @ Z(7)) + 12.5 * Z(1) + -1.5 * Z(0) + 10.0 *... | 7 | 10 | 4 | {"smallest_eigenvalues": [-90.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["1010011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0092) q[0];
rz(0.2104) q[0];
rx(0.3888) q[1];
rz(0.0384) q[1];
rx(0.1829) q[2];
rz(0.1082) q[2];
rx(0.3965) q[3];
rz(0.021) q[3];
rx(0.3935) q[4];
rz(-0.008) q[4];
rx(0.0854) q[5];
rz(0.1642) q[5];
rx(0.1206) q[6];
rz(0.1562) q[6];
rx(0.3955) 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... | {"matching": "maximum", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
9e3fd441307ea46e321a51e29b173f1a | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "source": 3, "target": 1}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [239, 511], "expectation_value": -15.642131759604682, "params": null, "bitstrings": ["11100010000", "11000000000"], "total_optimization_steps": 100, "probabilities": [0.10389550088160228, 0.6207979075228155], "optimization_time": 293.51891589164734} | 2.0 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(10) @ Z(6)) + 1.0 * (Z(10) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(9)) + -0.5 * (Z(2) @ Z(10)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(6)) + -... | 1 | 11 | 1 | {"smallest_eigenvalues": [-17.25, -17.25, -17.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -16.25, "smallest_bitstrings": ["11000000000", "11010010000", "11100010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
ry(-0.0267) q[5];
ry(0.4144) q[8];
cry(1.0551) q[8], q[5];
cry(0.9107) q[3], q[5];
cry(1.0479) q[5], q[8];
ry(1.5708) q[4];
cry(1.5708) q[4], q[10];
cry(1.5444) q[2], q[... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nry(-0.0267) 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] = m... |
4ad9232c22b29e0ec907aa70d7e2e817 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "ta... | {"states": [38, 39], "expectation_value": -4.071720081152676, "params": [-0.0149, 0.19790000000000002, 0.2645, 0.13720000000000002, 0.40650000000000003, 0.0041, 0.0814, 0.1955, -0.0117, 0.22060000000000002, 0.4078, 0.0095, 0.4068, 0.0027, 0.40640000000000004, 0.0023, -0.010100000000000001, 0.20320000000000002, 0.2621, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + -1.5 * Z(1) + -2.0 * Z(0) + 0.0 * Z(2) + -1.5 * Z(3) + -... | 3 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["11001100", "10011100", "11011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0149) q[0];
rz(0.1979) q[0];
rx(0.2645) q[1];
rz(0.1372) q[1];
rx(0.4065) q[2];
rz(0.0041) q[2];
rx(0.0814) q[3];
rz(0.1955) q[3];
rx(-0.0117) q[4];
rz(0.2206) q[4];
rx(0.4078) q[5];
rz(0.0095) q[5];
rx(0.4068) q[6];
rz(0.0027) q[6];
rx(0.4064) 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": []} |
a58cc8699c5f5f79986688d583abbd45 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"s... | {"states": [0, 8191], "expectation_value": -13.422867999667671, "params": [[[0.0033, 1.6059], [-0.0009000000000000001, -0.0068000000000000005], [0.0033, 0.9573], [0.0021000000000000003, 0.0024000000000000002], [0.0026000000000000003, 0.0025], [0.0035, -0.0008], [-0.0235, 0.28900000000000003], [0.0024000000000000002, 0.... | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + -1.5 * (Z(6) @ Z(0)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -1.5 * (Z(10) @ Z(11)) + -1.5 * (Z(12) @ Z(11)) + 0.5 * (Z(12) @ Z(10)) + -1.5 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2))... | 15 | 13 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["0000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.0033) q[0];
ry(-0.0009) q[1];
ry(0.0033) q[2];
ry(0.0021) q[3];
ry(0.0026) q[4];
ry(0.0035) q[5];
ry(-0.0235) q[6];
ry(0.0024) q[7];
ry(0.002) q[8];
ry(0.0023) q[9];
ry(0.0029) q[10];
ry(-0.5716) q[11];
ry(0.0023) q[12];
cx q[12], q[0];
cx q[11], q[12];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} |
9e72b7dd0d69a46b7f007aaed5517323 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}]} | {"states": [25, 26], "expectation_value": -3.624930677546186, "params": null, "bitstrings": ["100110", "100101"], "total_optimization_steps": 26, "probabilities": [1.642178064829427e-05, 0.9999653517514536], "optimization_time": 23.025874614715576} | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(1)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3) @ Z(1... | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.625, "smallest_bitstrings": ["100101"]} | 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[0];
ry(-1.5158) q[3];
ry(-1.4449) q[5];
ry(1.4447) q[1];
ry(1.4414) q[4];
ry(1.441) q[2];
cry(-0.1259) q[4], q[5];
cry(-0.055) q[4], q[3];
cry(0.1223) q[1], q[2];
cry(0.1218) q[2], q[4];
cry(0.1187)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
2516a2390c15857d60c9b0fe40f23a00 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 4, "source": 1, "target": 4}, {"capacity": 4, "source": 2, "target": 4}, {"capacity": 3, "so... | {"states": [8, 9], "expectation_value": -4.347567687532233, "params": [[[0.0011, 0.3987], [0.9195000000000001, 0.0005], [0.0021000000000000003, 0.7454000000000001], [0.0034000000000000002, 0.7382000000000001], [-0.5650000000000001, 0.0032]], [[0.0002, 0.39380000000000004], [0.9244, 0.0005], [0.0037, 0.7499], [0.0039000... | -1.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + 1.75 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 1.25 * Z(1) + -0.25 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.75, "smallest_bitstrings": ["10100", "10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.0011) q[0];
rz(0.3987) q[0];
rx(0.9195) q[1];
rz(0.0005) q[1];
rx(0.0021) q[2];
rz(0.7454) q[2];
rx(0.0034) q[3];
rz(0.7382) q[3];
rx(-0.565) q[4];
rz(0.0032) q[4];
rx(0.0002) q[0];
rz(0.3938) q[0];
rx(0.9244) q[1];
rz(0.0005) q[1];
rx(0.0037) q[2];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
5674461248583755413 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 4, 5, 6, 7, 8], [0, 8], [0, 1, 2, 3, 7], [1, 2, 3, 4, 5, 6, 7], [8, 3], [0, 5, 7], [1, 2, 4, 6, 8]]} | {"states": [203, 444], "expectation_value": -0.5679008695704687, "params": [[0.2836], [-0.29000000000000004]], "bitstrings": ["100110100", "001000011"], "total_optimization_steps": 30, "probabilities": [0.00438380651454031, 0.004438786563367696], "optimization_time": 5.523971319198608} | 0.10714285714285715 * (Z(1) @ Z(4)) + 0.05714285714285714 * (Z(5) @ Z(4)) + 0.05714285714285714 * (Z(5) @ Z(1)) + 0.10714285714285715 * (Z(6) @ Z(4)) + 0.10714285714285715 * (Z(6) @ Z(1)) + 0.05714285714285714 * (Z(6) @ Z(5)) + 0.05714285714285714 * (Z(7) @ Z(4)) + 0.10714285714285715 * (Z(7) @ Z(1)) + 0.22380952380952... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.1238095238095247], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.123809523809524, "smallest_bitstrings": ["001000011"]} | 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[4], q[1];
rz(0.0608) q[1];
cx q[4], q[1];
cx q[4], q[5];
rz(0.0324) q[5];
cx q[4], q[5];
cx q[1], q[5];
rz(0.0324) q[5];
cx q[1], q[5];
cx q[4], q[6];
rz(0.0608) q[6];
cx q[4], 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[... | null | {"circuits": [], "gradients": []} |
19bf2792303f03225b401563534cb3e3 | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [266, 267], "expectation_value": -2.5737398405772756, "params": [0.304, 0.2993, 0.0926, 0.0903, 0.0902, 0.0932, -0.0029000000000000002, 0.0006000000000000001, -0.0031000000000000003, -0.0, 0.3032, 0.30670000000000003, 0.0026000000000000003, -0.0056, 0.3049, 0.2992, 0.2627, 0.2534, 0.299, 0.3, 0.0894000000000... | 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)) + 0.03125 * (Z(0) @ Z(3)) + 0.03125 * (Z(0) @ Z(4)) + 0.03125 * (Z(0) @ Z(5)) + 0.03125 * (Z(0) @ Z(6)) + 0.03125 * (Z(0) @ Z(7)) + 0.03125 * (Z(3) @ Z(4)) + 0.03125 * (Z(3) @ Z(5)) + 0.03125 * (Z(3) @ Z(6)) + 0.03125 * (Z... | 14 | 9 | 4 | {"smallest_eigenvalues": [-3.28125, -3.28125, -3.28125, -3.28125, -3.28125, -3.28125], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.28125, "smallest_bitstrings": ["001110101", "010110110", "010110101", "100110101", "011110100", "001111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.304) q[0];
ry(0.0926) q[1];
ry(0.0902) q[2];
ry(-0.0029) q[3];
ry(-0.0031) q[4];
ry(0.3032) q[5];
ry(0.0026) q[6];
ry(0.3049) q[7];
ry(0.2627) q[8];
crx(0.2833) q[8], q[0];
crx(-0.0374) q[7], q[8];
crx(0.1832) q[6], q[7];
crx(0.0006) q[5], q[6];
crx(0.234... | 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": []} |
ee95eea0157613eba1229e90a73f1e5f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "source": ... | {"states": [4095, 2047], "expectation_value": -16.536376892157055, "params": [[[-0.003, -0.0103], [-0.0009000000000000001, -0.0027], [-0.0011, -0.0029000000000000002], [0.051300000000000005, -0.0021000000000000003], [0.004, -0.0022], [-0.0034000000000000002, -0.0025], [0.0082, -0.003], [-0.0026000000000000003, -0.00290... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(11) @ Z(1)) + -0.75 * (Z(11) @ Z(0)) + 2.25 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(11)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(8)) + -1.0 * (Z(7) @ Z(5)) + -1.25 * (Z(10) @ Z(1)) + -0.5 * (Z(... | 15 | 12 | 2 | {"smallest_eigenvalues": [-17.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.25, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.003) q[0];
ry(-0.0009) q[1];
ry(-0.0011) q[2];
ry(0.0513) q[3];
ry(0.004) q[4];
ry(-0.0034) q[5];
ry(0.0082) q[6];
ry(-0.0026) q[7];
ry(-0.0052) q[8];
ry(-0.0008) q[9];
ry(-0.001) q[10];
ry(1.5993) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10]... | OPENQASM 3.0;
include "stdgates.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": []} |
866ee5d574b2d90a8b20695233762fdc | 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": [413, 397], "expectation_value": -113.10970466826242, "params": [0.2659, -0.5761000000000001, 0.0027, 1.0426, 1.3949, -0.0405, 1.4000000000000001, 0.2952, 0.42650000000000005, 0.7914, -0.0026000000000000003, 0.8226, 0.758, -0.3305, 1.4033, -0.1666, 1.3946, 0.0002, 0.0031000000000000003, 0.9159, 1.39970000000... | 8.0 * (Z(2) @ Z(3)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(4) @ Z(2)) + 8.0 * (Z(5) @ Z(8)) + 8.0 * (Z(6) @ Z(2)) + 8.0 * (Z(6) @ Z(8)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(0) @ Z(7)) + 8.0 * (Z(10) @ Z(7)) + 8.0 * (Z(10) @ Z(0)) + 8.0 * (Z(9) @ Z(10)) + 8.0 * Z(3) + 14.0 * Z(2) + 3.5 * Z(4) + 14.5 * Z(8) +... | 16 | 11 | 2 | {"smallest_eigenvalues": [-133.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -124.0, "smallest_bitstrings": ["11001110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.2659) q[0];
rz(-0.5761) q[0];
rx(0.0027) q[1];
rz(1.0426) q[1];
rx(1.3949) q[2];
rz(-0.0405) q[2];
rx(1.4) q[3];
rz(0.2952) q[3];
rx(0.4265) q[4];
rz(0.7914) q[4];
rx(-0.0026) q[5];
rz(0.8226) q[5];
rx(0.758) q[6];
rz(-0.3305) q[6];
rx(1.4033) 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": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
cd137fa0f8f517e60a6d93857fc5895a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 6}, {"sour... | {"states": [120, 248], "expectation_value": -5.060663933054578, "params": [-0.0012000000000000001, -0.0025, 0.29300000000000004, 0.2917, 0.2985, 0.301, 0.2937, 0.29560000000000003, 0.3059, 0.306, 0.3015, 0.3025, -0.0057, 0.00030000000000000003, -0.006500000000000001, -0.0001, -0.0002, -0.0002, -0.007200000000000001, -0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(5) @ Z(8)) + -0.5 * Z(2) + -1.5 * Z(0) + 0.0 * ... | 13 | 9 | 3 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["100000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0012) q[0];
ry(0.293) q[1];
ry(0.2985) q[2];
ry(0.2937) q[3];
ry(0.3059) q[4];
ry(0.3015) q[5];
ry(-0.0057) q[6];
ry(-0.0065) q[7];
ry(-0.0002) q[8];
crz(0.1608) q[8], q[0];
crz(-0.0286) q[7], q[8];
crz(0.1714) q[6], q[7];
crz(-0.0015) q[5], q[6];
crz(-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": []} |
1933498831834073577 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 3, 7], [2, 3, 7], [2, 4, 5, 7], [0, 6, 7], [0, 1, 2, 4, 5, 6], [0, 3, 4, 5, 6], [1, 6, 7]]} | {"states": [233, 31], "expectation_value": -0.6747122351208952, "params": [[-0.26730000000000004], [0.2743]], "bitstrings": ["00010110", "11100000"], "total_optimization_steps": 30, "probabilities": [0.007264952619306061, 0.007289757685563723], "optimization_time": 3.836620807647705} | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(7) @ Z(3)) + 0.3333333333333333 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(7)) + 0.05 * (Z(4) @ Z(3)) + 0.03333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(7)) + 0.11666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.883333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8666666666666671, "smallest_bitstrings": ["11100000"]} | 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[3], q[1];
rz(-0.0891) q[1];
cx q[3], q[1];
cx q[3], q[7];
rz(-0.1782) q[7];
cx q[3], q[7];
cx q[1], q[7];
rz(-0.1782) q[7];
cx q[1], q[7];
cx q[3], q[2];
rz(-0.0891) q[2];
cx q[3], q[2];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
2376636108866578242 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 7], [10, 5], [2, 6], [9, 7], [3, 5], [2, 10], [9, 6], [10, 6], [4, 5], [8, 1], [3, 7], [0, 10], [2, 3], [3, 4], [0, 1], [9, 10], [2, 7], [0, 6], [4, 6], [9, 2], [0, 4], [3, 6], [9, 1], [4, 7]]} | {"states": [1332, 1340], "expectation_value": -0.09166897333863894, "params": [[[1.7079, 0.0012000000000000001], [1.4629, 0.0014], [1.7202000000000002, 0.005200000000000001], [1.4298, 0.0026000000000000003], [1.4645000000000001, 0.0046], [1.7226000000000001, 0.0002], [1.6807, 0.0061], [1.6392, 0.0094], [1.6843000000000... | 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(10) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(10)) + 0.5 * (Z(6) @ Z(10)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(10)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z... | 1 | 11 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["10100111100", "01111000001", "01011000011", "10000111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.7079) q[0];
rz(0.0012) q[0];
rx(1.4629) q[1];
rz(0.0014) q[1];
rx(1.7202) q[2];
rz(0.0052) q[2];
rx(1.4298) q[3];
rz(0.0026) q[3];
rx(1.4645) q[4];
rz(0.0046) q[4];
rx(1.7226) q[5];
rz(0.0002) q[5];
rx(1.6807) q[6];
rz(0.0061) q[6];
rx(1.6392) 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": []} |
857e65bd5af79cea0e3b06ea35e9b80e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 5... | {"states": [126, 63], "expectation_value": -3.9998560639228913, "params": [[0.0025, 0.0025, 0.0029000000000000002, 1.0629, 0.0018000000000000002, 0.0025, 0.0024000000000000002], [0.0039000000000000003, 0.0021000000000000003, 0.0029000000000000002, -1.1267, -0.0028, 0.0025, 1.5732000000000002], [-0.0026000000000000003, ... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + 1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * Z(2... | 9 | 7 | 4 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["1100000", "1000000"]} | 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];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(0.0025) q[0];
rx(0.0025) q[1];
rx(0.0029) q[2];
rx(1.0629) q[3];
rx(0.0018) q[4];
rx(0.0025) q[5];
rx(0.0024) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
0fbf7e9662738f1a44b3cf8b0835e888 | 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": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, {"source": 2, "target": 8}, {"sour... | {"states": [417, 421], "expectation_value": -3.7383259936660043, "params": [[[1.8055, 0.009600000000000001, 0.0028, 0.0026000000000000003], [0.1698, 0.0005, 1.5877000000000001, 0.0018000000000000002], [-0.002, 0.0058000000000000005, 0.0045000000000000005, 0.0045000000000000005], [0.6125, 0.0024000000000000002, 1.2679, ... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(3) @ Z(7)) + -1.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(1) + -0.5 * Z(5) + -1.0 * Z(6) + -0.5 * Z(2) + -0.5 * Z(8) + -0.5 * Z(7) + 0.0 * Z(3) | 12 | 9 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.8055) q[0];
rz(0.0096) q[0];
ry(0.1698) q[1];
rz(0.0005) q[1];
ry(-0.002) q[2];
rz(0.0058) q[2];
ry(0.6125) q[3];
rz(0.0024) q[3];
ry(0.003) q[4];
rz(0.0052) q[4];
ry(-0.002) q[5];
rz(-1.0592) q[5];
ry(1.5989) q[6];
rz(0.0002) q[6];
ry(0.0023) q[7];
rz(-1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
9b6c90aee56ab84919f7c826e678a024 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [25, 28], "expectation_value": -3.499937482943581, "params": null, "bitstrings": ["00110", "00011"], "total_optimization_steps": 22, "probabilities": [1.6356545604728112e-05, 0.9999687420766158], "optimization_time": 13.098846912384033} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + 0.0 * Z(1) + -0.5 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["00011"]} | 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];
ry(-1.5708) q[3];
ry(-1.4449) q[4];
ry(1.4449) q[1];
ry(1.4417) q[0];
ry(1.4417) q[2];
cry(-0.1259) q[2], q[4];
cry(0.1217) q[1], q[0];
cry(0.1216) q[0], q[2];
cry(0.1186) q[2], q[1];
cry(-0.0005) q[1], q[4];
cry(0.0074)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
0e274f5e85ddbe65133fdbcd5be3ad41 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [2386, 2258], "expectation_value": -122.59159068630792, "params": [[0.6245, 0.0227, -0.11130000000000001, 0.40340000000000004, 0.2838, 0.8869, -0.009000000000000001, 0.6268, -0.0027, -0.0555, 0.8530000000000001, -0.0029000000000000002], [0.6233000000000001, -0.0194, -0.1555, 0.4118, -0.1845, 0.4712, 0.0511, ... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(3) @ Z(0)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(2) @ Z(7)) + 8.0 * (Z(5) @ Z(0)) + 8.0 * (Z(5) @ Z(3)) + 8.0 * (Z(5) @ Z(7)) + 8.0 * (Z(6) @ Z(7)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(10) @ Z(7)) + 8.0 * (Z(10) @ Z(2)) + 8.0 * (Z(9) @ Z(4)) + 8.0 * (Z(9) @ Z(10)) + 15.5 * Z(0) + -4.0 * Z(1) + 8.5... | 10 | 12 | 4 | {"smallest_eigenvalues": [-148.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -126.5, "smallest_bitstrings": ["011100101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.6245) q[0];
ry(0.0227) q[1];
ry(-0.1113) q[2];
ry(0.4034) q[3];
ry(0.2838) q[4];
ry(0.8869) q[5];
ry(-0.009) q[6];
ry(0.6268) q[7];
ry(-0.0027) q[8];
ry(-0.0555) q[9];
ry(0.853) q[10];
ry(-0.0029) q[11];
cz q[11], q[10];
cz q[10], q[9];
cz q[9], q[8];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
e50f1de34172387f4afee29bd6bf3fd2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 8}, {"capac... | {"states": [33, 41], "expectation_value": -17.199239286156892, "params": null, "bitstrings": ["1111011110", "1111010110"], "total_optimization_steps": 50, "probabilities": [0.20719086882979534, 0.38618186482957373], "optimization_time": 79.75598549842834} | -1.5 * (Z(0) @ Z(2)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -2.25 * (Z(8) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(7)) + -1.5 * (Z(4) @ Z(7)) + -1.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(8)) + -1.5 * (Z(6) @ Z(3)) + 2.75 * (Z(9) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-21.5, -21.5, -21.5, -21.5, -21.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -20.5, "smallest_bitstrings": ["1111110110", "1111111110", "1110010110", "1111010110", "1111011110"]} | 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];
ry(0.9755) q[4];
ry(-1.5708) q[2];
cry(-1.5708) q[9], q[0];
ry(1.1196) q[9];
ry(-1.5708) q[7];
ry(0.234) q[0];
cry(-0.3723) q[4], q[0];
ry(-1.5708) q[1];
ry(-1.5708) q[3];
ry(-1.... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(0.9755) 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]... |
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