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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
100b035d500fd4645fd2b0e271b9dd47 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 4}, {"capaci... | {"states": [31, 5], "expectation_value": -0.27160310154976885, "params": [[0.057300000000000004, -0.0088, -0.0541], [-0.0641, -0.040100000000000004, 0.0238]], "bitstrings": ["100000", "111010"], "total_optimization_steps": 10, "probabilities": [0.018961932613705705, 0.018990576659937874], "optimization_time": 2.9942572... | -0.75 * (Z(0) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(5) + -1.5 * Z(1) + 0.5 * Z(4) + 1.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["111010"]} | 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[2], q[0];
rz(-0.0859) q[0];
cx q[2], q[0];
cx q[0], q[5];
rz(0.1146) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0.0859) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(-0.0859) q[4];
cx q[2], q[4];
cx q[5], q[4];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
d1df537b8f7eacc6f0ca14b18760c116 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [441, 509], "expectation_value": -8.499302853593848, "params": null, "bitstrings": ["1001000110", "1000000010"], "total_optimization_steps": 98, "probabilities": [0.23031531104549027, 0.7031321229121374], "optimization_time": 266.2826883792877} | 1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["1000000010", "1000000001", "1001000101", "1001000110"]} | 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(1.5708) q[4];
ry(1.5708) q[2];
cry(1.5681) q[7], q[3];
cry(1.5486) q[2], q[5];
cry(1.4449) q[4], q[1];
cry(-1.568) q[4], q[0];
cry(1.0457) q[3], q[7];
cry(1.4397) q[2], q[6];
... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.5708) q[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]... |
102a2f54913f3a558305fe58413657b5 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [97, 225], "expectation_value": -4.488093452404801, "params": [0.2999, -0.0008, 0.2987, -0.0008, 0.2973, 0.0032, 0.30670000000000003, 0.00030000000000000003, 0.30870000000000003, 0.0008, 0.303, 0.004200000000000001, 0.0085, -0.1403, 0.006200000000000001, -0.1444, 0.0033, 0.1625, 0.009600000000000001, 0.1719,... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 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(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.0 * Z(1) + -1.5 * Z(4) + -... | 7 | 8 | 3 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["00011110", "00011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.2999) q[0];
rz(-0.0008) q[0];
rx(0.2973) q[1];
rz(0.0032) q[1];
rx(0.3087) q[2];
rz(0.0008) q[2];
rx(0.0085) q[3];
rz(-0.1403) q[3];
rx(0.0033) q[4];
rz(0.1625) q[4];
rx(-0.0175) q[5];
rz(0.1707) q[5];
rx(0.0297) q[6];
rz(0.1748) q[6];
rx(0.3079) 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] x11;
input float[64] x12;
input float[64] x13;
inpu... | null | {"circuits": [], "gradients": []} |
1e66658283a5aa7556a964c41aeb84ff | 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": 7}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [230, 127], "expectation_value": -2.1256145188904174, "params": [[0.6089, 0.0031000000000000003, 0.004, 0.4657, 0.7004, 0.0007, -0.0012000000000000001, 0.6014], [0.0029000000000000002, -0.0011, -0.0013000000000000002, 0.0132, 0.0011, 0.0012000000000000001, -0.0028, 0.0022], [0.6573, 0.641, -0.020300000000000... | 0.25 * (Z(0) @ Z(7)) + -1.25 * (Z(1) @ Z(7)) + -1.25 * (Z(2) @ Z(7)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -1.5 * (Z(4) ... | 9 | 8 | 4 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.25, "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];
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[1], q[0];
rx(0.6089) q[0];
rx(0.0031) q[1];
rx(0.004) q[2];
rx(0.4657) q[3];
rx(0.7004) q[4];
rx(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
902d1b67930e0629acecd09204caf4e9 | 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": 2}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [127, 95], "expectation_value": -11.014690891287497, "params": [[[-0.0024000000000000002, 0.0028], [0.0039000000000000003, -0.0026000000000000003], [0.8018000000000001, 0.0025], [-0.0038, -0.0053], [-0.0263, -0.0021000000000000003], [0.0053, -0.0029000000000000002], [0.0039000000000000003, -1.1404], [-3.1399... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.5 * (Z(7) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -1.75 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.25 * Z(1) + -0.25 * Z(0) + -2.5 * Z(2... | 15 | 8 | 2 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["10100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.0024) q[0];
ry(0.0039) q[1];
ry(0.8018) q[2];
ry(-0.0038) q[3];
ry(-0.0263) q[4];
ry(0.0053) q[5];
ry(0.0039) q[6];
ry(-3.1399) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
5352a77ee8029c0a1cc2f13dec084536 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"sour... | {"states": [252, 255], "expectation_value": -7.913602536943371, "params": null, "bitstrings": ["00000011", "00000000"], "total_optimization_steps": 99, "probabilities": [0.12275873120194933, 0.4709051717336748], "optimization_time": 115.78971529006958} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 1.0 * Z(7) + -1.0 * Z(6) | 5 | 8 | 1 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.5, "smallest_bitstrings": ["00000000", "00000011"]} | 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];
cry(1.5706) q[6], q[7];
cry(1.5681) q[5], q[4];
cry(1.231) q[4], q[5];
cry(1.57) q[4], q[3];
cry(1.5681) q[2], q[1];
ry(1.0829) q[2];
cry(1.5701) q[1], q[0];
ry(0.3995) q[1];
ry(0.4382) q[6];
cry(... | null | {"node": 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];\ncry(1.5706) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... |
bbe36c72142a04c8b1698fed3f77c25c | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [86, 54], "expectation_value": -2.0947827371901067, "params": null, "bitstrings": ["0101001", "1001001"], "total_optimization_steps": 51, "probabilities": [0.0730116655002035, 0.746544414918347], "optimization_time": 89.46414732933044} | 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... | 1 | 7 | 4 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.25, "smallest_bitstrings": ["0101100", "1001001", "0100110", "1000110", "1000011", "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];
cry(-1.1871) q[4], q[6];
cry(-1.1871) q[5], q[3];
ry(1.287) q[2];
cry(-1.1939) q[1], q[0];
ry(0.6209) q[4];
ry(-0.5219) q[6];
cry(0.5717) q[2], q[4];
cry(0.6906) q[4], q[1];
cry(-0.5577) q[4], q[0];
cry(-... | 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(-1.1871) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
58fa04385078dcdc0b5f9361c481400a | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 1}, {"source": 3, "target"... | {"states": [14191, 14190], "expectation_value": -10.547989953439565, "params": [0.005, 0.0011, 2.2349, 0.8968, 1.5919, 1.5546, -0.013900000000000001, -0.013900000000000001, 1.6159000000000001, 1.5194, 1.5794000000000001, 1.5677, 1.5791000000000002, 1.5566, -0.0125, -0.024200000000000003, 1.5967, 1.5855000000000001, 1.5... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 13 | 15 | 1 | {"smallest_eigenvalues": [-10.999999999999975], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.99999999999996, "smallest_bitstrings": ["100100010010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
ry(0.005) q[0];
ry(2.2349) q[1];
ry(1.5919) q[2];
ry(-0.0139) q[3];
ry(1.6159) q[4];
ry(1.5794) q[5];
ry(1.5791) q[6];
ry(-0.0125) q[7];
ry(1.5967) q[8];
ry(1.5703) q[9];
ry(0.006) q[10];
ry(1.5866) q[11];
ry(1.7355) q[12];
ry(2.1194) q[13];
ry(2.4548) q[14]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
99e535ad1b9492543e04c8b3d05c67c9 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "ta... | {"states": [73, 81], "expectation_value": -5.796724844480597, "params": [[0.3685, 0.3986, -0.0067, 0.4038, 0.4033, -0.0047, -0.0193, 0.4027], [0.3664, 0.39730000000000004, 0.0659, 0.40440000000000004, 0.40540000000000004, 0.0026000000000000003, -0.0126, 0.406], [0.3699, 0.399, -0.0027, 0.4031, 0.40030000000000004, 0.00... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) ... | 10 | 8 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.5, "smallest_bitstrings": ["01010111", "01101110", "10110110", "10101110", "01110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.3685) q[0];
ry(0.3986) q[1];
ry(-0.0067) q[2];
ry(0.4038) q[3];
ry(0.4033) q[4];
ry(-0.0047) q[5];
ry(-0.0193) q[6];
ry(0.4027) 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[1], q[0];
cz q[0], 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[... | null | {"circuits": [], "gradients": []} |
7bc4dde9a09d0b94c5097b219891d81a | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [170, 85], "expectation_value": -0.18694310857397262, "params": [[-0.3778], [0.36860000000000004]], "bitstrings": ["01010101", "10101010"], "total_optimization_steps": 40, "probabilities": [0.007785893381429378, 0.007785893381429385], "optimization_time": 3.030907154083252} | 0.25 * (Z(0) @ Z(1)) + -0.001953125 * (Z(2) @ Z(0)) + -0.001953125 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00078125 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + 0.00078125 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00078125 * (Z(6) @ Z(0)) + -0.00078125 * (Z(6) @ Z(2)) + -0.0015625 *... | 5 | 8 | 1 | {"smallest_eigenvalues": [-1.0070312500000003, -1.0070312500000003], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0070312499999998, "smallest_bitstrings": ["10101010", "10100101"]} | 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(-0.1889) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0015) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0015) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-0.1889) q[3];
cx q[2], q[3];
cx q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1],... | {"communities_size": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
7118366004389908815 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 8], [1, 3], [8, 1, 6], [2, 4, 7], [3, 6], [2, 4, 6], [0, 5], [8, 7], [5, 7], [8, 2, 6], [8, 2, 3]]} | {"states": [157, 454], "expectation_value": -0.11841008381258755, "params": [[-0.0761], [0.0724]], "bitstrings": ["101100010", "000111001"], "total_optimization_steps": 10, "probabilities": [0.002235909999640175, 0.0022985835976460263], "optimization_time": 2.3882980346679688} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(2) @ Z(8)) + 0.16666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.500000000000001, "smallest_bitstrings": ["000111001"]} | 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(-0.0254) q[0];
cx q[1], q[0];
cx q[1], q[8];
rz(-0.0507) q[8];
cx q[1], q[8];
cx q[0], q[8];
rz(-0.0254) q[8];
cx q[0], q[8];
cx q[1], q[3];
rz(-0.0761) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[8];
rz(x1) q[8... | null | {"circuits": [], "gradients": []} |
264618c760449b2d0106d8614aba6ccb | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 9}, {"capac... | {"states": [512, 511], "expectation_value": -0.40680578206456847, "params": [[0.0506], [-0.039400000000000004]], "bitstrings": ["0111111111", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0012063764400134435, 0.0012171847039979945], "optimization_time": 3.1828389167785645} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + 1.0 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(9)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(7) @ Z(2)) + -1.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(9)) + -0.75 * (Z(7) @ Z(1)) + -1.75 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(9)) + -0.25 * (Z(6) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["1000000000"]} | 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(-0.0506) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0253) q[3];
cx q[0], q[3];
cx q[0], q[9];
rz(0.1012) q[9];
cx q[0], q[9];
cx q[3], q[9];
rz(-0.0506) q[9];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
607dfe672a9c089714e83d20227118f4 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [73, 104], "expectation_value": -4.996397370675801, "params": null, "bitstrings": ["0110110", "0010111"], "total_optimization_steps": 26, "probabilities": [0.06635256082958879, 0.9303255897208923], "optimization_time": 20.131187677383423} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -2.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(1) + -1.5 * Z(4) + -1.0 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["0010111", "0110110", "0110011"]} | 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[2];
ry(-1.5681) q[4];
ry(-1.4449) q[5];
ry(1.4417) q[3];
ry(1.4417) q[0];
cry(-1.0343) q[1], q[6];
ry(0.7003) q[1];
cry(-0.1259) q[3], q[5];
ry(-0.4549) q[6];
cry(0.4962) q[0], q[1];
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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
cf9a1540b011355d554ff1ed574e9153 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 5}, ... | {"states": [85, 29], "expectation_value": -4.499130260587304, "params": null, "bitstrings": ["0101010", "1100010"], "total_optimization_steps": 32, "probabilities": [0.06552842207412077, 0.9338525446455993], "optimization_time": 24.80898094177246} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(2) + 0.0 * Z(4) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100010", "0101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[5];
ry(-1.5681) q[1];
ry(1.4449) q[6];
ry(1.4449) q[4];
ry(1.4449) q[2];
cry(-1.0343) q[3], q[0];
ry(0.7003) q[3];
ry(-0.4549) q[0];
cry(0.4963) q[2], q[3];
cry(-0.3789) q[2], q[0];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
4c97295c4d10fd438512879e76a3fa94 | 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": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [186, 58], "expectation_value": -2.3792324112868237, "params": [[[0.9942000000000001, 0.007500000000000001, 0.0059, 0.0007], [0.5445, -0.002, 0.9917, 0.0033], [0.6588, -0.09380000000000001, 0.4596, 0.1764], [-0.2384, 0.4323, 0.045700000000000005, -0.6143000000000001], [0.2019, -0.12440000000000001, -0.023200... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + -0.25 * Z(... | 11 | 8 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.0, "smallest_bitstrings": ["00111001", "00111010", "01110010", "11000101", "01011001", "01010011", "01010101", "10001101", "10011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.9942) q[0];
rz(0.0075) q[0];
ry(0.5445) q[1];
rz(-0.002) q[1];
ry(0.6588) q[2];
rz(-0.0938) q[2];
ry(-0.2384) q[3];
rz(0.4323) q[3];
ry(0.2019) q[4];
rz(-0.1244) q[4];
ry(0.0756) q[5];
rz(-0.0304) q[5];
ry(0.5873) q[6];
rz(0.089) q[6];
ry(0.0025) 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": []} |
ec471b6985489d774242f85569adf59b | 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": 3}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 5... | {"states": [7, 31], "expectation_value": -4.696884377382494, "params": null, "bitstrings": ["1111000", "1100000"], "total_optimization_steps": 50, "probabilities": [0.2078127726415533, 0.6174813467105884], "optimization_time": 43.888070583343506} | -0.5 * (Z(0) @ Z(3)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(5)) + 0.75 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(4)) + 0.5 * Z(3) + -0.25 * Z(0) + 0.0 * Z(2) + -0.75 * Z(1) + -0.5 * Z(5) + 1.0 * Z(4) + 0.0 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.25, -5.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.25, "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];
cry(1.57) q[5], q[4];
cry(1.5486) q[2], q[3];
ry(0.845) q[5];
cry(1.2245) q[3], q[2];
ry(0.4428) q[4];
cry(1.5157) q[4], q[6];
cry(-1.5353) q[6], q[0];
cry(0.5815) q[4], q[5];
ry(-1.1414) q[1];
cry(-0.275... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.57) q[5], 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];\... |
c745eafdc2adbaeba26c5101fc679bcd | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [125, 109], "expectation_value": -39.964275957974294, "params": [0.49770000000000003, 0.3009, 0.9018, 0.0173, 0.8928, 0.056900000000000006, 0.4975, 0.2295, 0.8934000000000001, 0.0651, 0.9004000000000001, 0.1073, 0.07640000000000001, 0.6346, 0.9078, 0.0475, 0.49470000000000003, 0.232, 0.8981, -0.0133000000000... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(6) @ Z(7)) + 14.5 * Z(1) + 5.0 * Z(0) + 12.0 * Z(2) + 12.5 * Z(4) + 9.0 * Z(5) + 7.5 * Z(3) + 2.0 * Z(7) + -1.0 * Z(6) | 18 | 8 | 3 | {"smallest_eigenvalues": [-53.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4977) q[0];
rz(0.3009) q[0];
rx(0.9018) q[1];
rz(0.0173) q[1];
rx(0.8928) q[2];
rz(0.0569) q[2];
rx(0.4975) q[3];
rz(0.2295) q[3];
rx(0.8934) q[4];
rz(0.0651) q[4];
rx(0.9004) q[5];
rz(0.1073) q[5];
rx(0.0764) q[6];
rz(0.6346) q[6];
rx(0.9078) 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_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
eef64d2a5dbf018785bb2eafc31c3245 | 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": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 6, "source": 3, ... | {"states": [3, 15], "expectation_value": -0.49129740452591064, "params": [[-0.0534], [0.0574]], "bitstrings": ["11111100", "11110000"], "total_optimization_steps": 10, "probabilities": [0.004904186839074677, 0.005076561651899729], "optimization_time": 1.6266212463378906} | -1.25 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + 2.5 * (Z(7) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(6) @ Z(7)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 1.0 * Z(7) + -2.25 * Z(2) + -0.5 * Z(4) + 2.0 * Z(5) + 0.75 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-14.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["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];
cx q[1], q[0];
rz(0.1335) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.1068) q[3];
cx q[0], q[3];
cx q[0], q[7];
rz(-0.267) q[7];
cx q[0], q[7];
cx q[3], q[2];
rz(0.1602) q[2];
cx q[3], q[2];
cx 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
e187371d430b945e0e1d69926f02e89f | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 4, "source": 2, "target": 5}, {"capacity": 4, "source": 4, "target": 1}, {"capaci... | {"states": [7423, 6655], "expectation_value": -36.97200954450136, "params": [[0.0408, -0.0041], [-0.18280000000000002, -0.1482]], "bitstrings": ["110001100000000", "110011000000000"], "total_optimization_steps": 20, "probabilities": [0.0003048385183974171, 0.0003048385183974174], "optimization_time": 19.524487495422363... | -0.5 * (Z(7) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(7)) + -1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(3)) + -0.5 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(7)) + -1.0 * (Z(9) @ Z(3)) + 2.0 * (Z(9) @ Z(8)) + -0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.5... | 1 | 15 | 2 | {"smallest_eigenvalues": [-59.83333333333255], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.833333333330536, "smallest_bitstrings": ["110011000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] 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];
cx q[2], q[7];
rz(-0.0408) q[7];
cx q[2], q[7];
cx q[2], q[3];
rz(0.0816) q[3];
cx q[2], q[3];
cx q[7], q[3];
rz(-0.0816) 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[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
605742faa50c2e92c07356e058fd303f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [253, 245], "expectation_value": -1.7531446551682002, "params": [0.1187, -0.3482, 0.7978000000000001, -0.024800000000000003, 0.8037000000000001, -0.07740000000000001, 0.8006000000000001, -0.0102, 0.7962, 0.18180000000000002, 0.46430000000000005, 0.2416, 0.796, 0.2776, 0.12340000000000001, 0.3766, 0.7985, -0.... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(1) @ Z(5)) + -0.125 * (Z(4) @ Z(1) ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.25, "smallest_bitstrings": ["100001010", "010100010", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.1187) q[0];
rz(-0.3482) q[0];
rx(0.7978) q[1];
rz(-0.0248) q[1];
rx(0.8037) q[2];
rz(-0.0774) q[2];
rx(0.8006) q[3];
rz(-0.0102) q[3];
rx(0.7962) q[4];
rz(0.1818) q[4];
rx(0.4643) q[5];
rz(0.2416) q[5];
rx(0.796) q[6];
rz(0.2776) q[6];
rx(0.1234) 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": []} |
5b8623d1e22a1fa2d9dd5900437dde95 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 9}, {"source": 1, "target":... | {"states": [737, 753], "expectation_value": -4.045896999045898, "params": [[[1.6132, 0.0099], [0.5344, 0.0097], [1.6121, 0.0007], [1.6121, 0.0066], [1.6135000000000002, 0.0046], [1.6073000000000002, 0.008400000000000001], [-0.0108, 0.0053], [-0.0152, 0.0033], [0.0031000000000000003, 0.0005], [1.6085, 0.0084000000000000... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(4) @ Z(7)) + -1.5 * Z(6) + -1.0 * Z(0) + -1.5 * Z(7) + -2.0 * Z(8) + ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["0100001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.6132) q[0];
rz(0.0099) q[0];
rx(0.5344) q[1];
rz(0.0097) q[1];
rx(1.6121) q[2];
rz(0.0007) q[2];
rx(1.6121) q[3];
rz(0.0066) q[3];
rx(1.6135) q[4];
rz(0.0046) q[4];
rx(1.6073) q[5];
rz(0.0084) q[5];
rx(-0.0108) q[6];
rz(0.0053) q[6];
rx(-0.0152) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
39c3ffaeb9eb933f7f98f36d6d205bcb | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [345, 346], "expectation_value": -59.2876842167984, "params": [[[1.5837, -0.0028], [1.3603, 0.0017000000000000001], [0.6152000000000001, 0.0109], [0.8144, 0.0426], [0.056, 0.1149], [0.34640000000000004, 0.8765000000000001], [0.0059, -0.0716], [-0.0015, 1.447], [-0.1144, 1.0552000000000001], [-0.3663, 0.36610... | 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(9) @ Z(5)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(8) @ Z(9)) + 0.5 * Z(1) + 3.5 * Z(2) + 9.5 * Z(3) + 14.5 * Z(5) + 0.5 * Z(4) + 0.0 * Z(6) + -3.0 * Z(7) + 0.5 * Z(9) + 6.5 * Z(8) + -10.5 * Z(0) | 15 | 10 | 2 | {"smallest_eigenvalues": [-85.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["1010100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.5837) q[0];
ry(1.3603) q[1];
ry(0.6152) q[2];
ry(0.8144) q[3];
ry(0.056) q[4];
ry(0.3464) q[5];
ry(0.0059) q[6];
ry(-0.0015) q[7];
ry(-0.1144) q[8];
ry(-0.3663) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
97a25582d9da2a01a479d6704a1ea86e | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": ... | {"states": [0, 1007], "expectation_value": -11.033445284980328, "params": [0.11520000000000001, 0.1134, 0.009000000000000001, 1.5288000000000002, -0.23170000000000002, 0.5928, -0.5161, 0.559, 0.8129000000000001, 0.42660000000000003, -0.36250000000000004, 1.153, 0.8155, 1.1012, -0.0623, 1.7621, 0.8112, 1.2194, 0.0073, 0... | -2.0 * (Z(0) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(9)) + -1.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * Z(3) + 0.5 * Z(0) + ... | 6 | 10 | 2 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["0000010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.1152) q[0];
rz(0.1134) q[0];
rx(-0.2317) q[1];
rz(0.5928) q[1];
rx(0.8129) q[2];
rz(0.4266) q[2];
rx(0.8155) q[3];
rz(1.1012) q[3];
rx(0.8112) q[4];
rz(1.2194) q[4];
rx(0.9004) q[5];
rz(1.1712) q[5];
rx(0.7975) q[6];
rz(1.3349) q[6];
rx(0.4822) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 4} | {"circuits": [], "gradients": []} |
3818ce8f8ec333f1e3cdd221545ea640 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [134, 150], "expectation_value": -1.3187768586215531, "params": [[[0.48760000000000003, -0.013600000000000001], [0.2267, -0.0102], [0.28350000000000003, 0.022600000000000002], [0.5011, -0.12860000000000002], [0.21610000000000001, -0.28850000000000003], [0.4646, 0.5009], [0.5053, 0.5032], [0.4872, 0.27]], [[-... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4... | 15 | 8 | 3 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.125, "smallest_bitstrings": ["10100101", "00101101", "10000111", "01101001", "01011010", "01001011", "00011110", "10010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.4876) q[0];
ry(0.2267) q[1];
ry(0.2835) q[2];
ry(0.5011) q[3];
ry(0.2161) q[4];
ry(0.4646) q[5];
ry(0.5053) q[6];
ry(0.4872) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
ced6c703f6fc42ad993c62457521a8a6 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 0, ... | {"states": [3, 1], "expectation_value": -9.749974732289836, "params": null, "bitstrings": ["11111100", "11111110"], "total_optimization_steps": 21, "probabilities": [1.2643738898933471e-05, 0.9999747325766285], "optimization_time": 17.35269045829773} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(4) @ Z(5)) + 2.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.25 * Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-9.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.75, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[7];
ry(-1.5708) q[0];
ry(-1.5706) q[1];
ry(-1.5708) q[2];
ry(-1.5706) q[5];
ry(-1.5486) q[3];
ry(-1.4449) q[4];
ry(-1.4448) q[6];
cry(-0.1189) q[7], q[6];
cry(-0.1188) q[7], q[4];
cry... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
d1df537b8f7eacc6f0ca14b18760c116 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [443, 442], "expectation_value": -8.019590675128047, "params": [0.004, 0.2278, 0.0061, 0.2503, 0.5313, 0.0711, 0.5423, 0.0613, 0.5333, 0.0767, 0.5474, 0.0637, 0.049300000000000004, -0.3355, 0.0402, -0.3269, 0.5504, 0.037700000000000004, 0.5561, 0.0308, 0.5477000000000001, 0.111, 0.5388000000000001, 0.113, 0.... | 1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z... | 5 | 10 | 3 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["1000000001", "1000000010", "1001000110", "1001000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.004) q[0];
rz(0.2278) q[0];
rx(0.5313) q[1];
rz(0.0711) q[1];
rx(0.5333) q[2];
rz(0.0767) q[2];
rx(0.0493) q[3];
rz(-0.3355) q[3];
rx(0.5504) q[4];
rz(0.0377) q[4];
rx(0.5477) q[5];
rz(0.111) q[5];
rx(0.5465) q[6];
rz(0.1123) q[6];
rx(0.0015) q[7];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
8974e5cad06096779812bbdbc32e906b | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [13, 102], "expectation_value": -0.12124313562546941, "params": [[-0.046400000000000004], [0.0591]], "bitstrings": ["1110010", "0011001"], "total_optimization_steps": 10, "probabilities": [0.008462775585400529, 0.008465863743633612], "optimization_time": 1.3994321823120117} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(6) + 0.0 * Z(0) + -1.0 * Z(1) + -1.5 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + -0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0011001"]} | 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[6], q[0];
rz(-0.0464) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(-0.0464) q[1];
cx q[6], q[1];
cx q[6], q[2];
rz(-0.0464) q[2];
cx q[6], q[2];
cx q[1], q[2];
rz(-0.0464) q[2];
cx q[1], q[2];
cx q[1], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[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[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(x0) q[1];
cx q[6], q[1]... | null | {"circuits": [], "gradients": []} |
adf83a7a772b7f772a66d54f36fd7522 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [91, 127], "expectation_value": -5.964095293682891, "params": null, "bitstrings": ["10100100", "10000000"], "total_optimization_steps": 98, "probabilities": [0.10187664978062215, 0.7323710416641575], "optimization_time": 173.40456867218018} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z... | 1 | 8 | 4 | {"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];
ry(1.5681) q[6];
cry(1.5626) q[3], q[1];
ry(1.1295) q[3];
ry(0.5831) q[1];
cry(1.5122) q[3], q[4];
cry(1.5593) q[1], q[7];
cry(-1.4804) q[7], q[0];
cry(1.4256) q[5], q[2];
cry(1.1914) q[1], q[5];
... | 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(1.5681) 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[... |
eef64d2a5dbf018785bb2eafc31c3245 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 6, "source": 3, ... | {"states": [7, 15], "expectation_value": -13.37701725312227, "params": [-0.0023, 1.3106, -0.0028, 1.3863, -0.0028, -1.3932, -0.0028, 1.3787, 0.8353, 0.1574, 1.5828, -0.0041, 1.5679, 0.0028, 1.5695000000000001, 0.0027, -0.0023, 0.0063, -0.0028, 0.0067, -0.0028, 0.0032, -0.0028, 0.0078000000000000005, 0.8377, 0.0071, 1.5... | -1.25 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + 2.5 * (Z(7) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(6) @ Z(7)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 1.0 * Z(7) + -2.25 * Z(2) + -0.5 * Z(4) + 2.0 * Z(5) + 0.75 * Z(6) | 3 | 8 | 2 | {"smallest_eigenvalues": [-14.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["11110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0023) q[0];
rz(1.3106) q[0];
rx(-0.0028) q[1];
rz(1.3863) q[1];
rx(-0.0028) q[2];
rz(-1.3932) q[2];
rx(-0.0028) q[3];
rz(1.3787) q[3];
rx(0.8353) q[4];
rz(0.1574) q[4];
rx(1.5828) q[5];
rz(-0.0041) q[5];
rx(1.5679) q[6];
rz(0.0028) q[6];
rx(1.5695) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
087038e9edc1ea672825729ff4eba005 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6... | {"states": [24383, 32575], "expectation_value": -6.251088087138361, "params": [0.608, 0.2126, 0.6036, 0.12760000000000002, 0.5992000000000001, 0.0459, 0.6018, 0.0089, 0.6009, 0.004200000000000001, 0.6087, 0.0122, 0.6057, 0.008700000000000001, 0.0025, 0.4122, 0.0017000000000000001, 0.4499, 0.6047, 0.22490000000000002, 0... | 0.5 * (Z(9) @ Z(11)) + 1.0 * (Z(12) @ Z(11)) + 0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(10) @ Z(11)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(12)) + -0.5 * (Z(0) @ Z(9)) + -0.5 * (Z(0) @ Z(10)) + -1.0 * (Z(1) @ Z(9)) + -1.0 * (Z(1) @ Z(10)) + 0.9090909090909091 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(9)) + -0.5 * (Z(2) @ Z(10)) + 0... | 18 | 15 | 3 | {"smallest_eigenvalues": [-20.27272727272695], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999854, "smallest_bitstrings": ["000000011000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(0.608) q[0];
rz(0.2126) q[0];
rx(0.6036) q[1];
rz(0.1276) q[1];
rx(0.5992) q[2];
rz(0.0459) q[2];
rx(0.6018) q[3];
rz(0.0089) q[3];
rx(0.6009) q[4];
rz(0.0042) q[4];
rx(0.6087) q[5];
rz(0.0122) q[5];
rx(0.6057) q[6];
rz(0.0087) q[6];
rx(0.0025) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
199bc20adfdca6d6b6a06391ec8e4ac2 | 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": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 4, "target": 5}, ... | {"states": [26, 28], "expectation_value": -2.0923086382092313, "params": [-0.007, 0.23620000000000002, 0.2958, -0.003, 0.4988, -0.0039000000000000003, 0.5029, 0.0006000000000000001, 0.5091, -0.0036000000000000003, 0.5056, -0.021, 0.29860000000000003, -0.0833, 0.0016, 0.3785, 0.29700000000000004, 0.0007, 0.5013000000000... | 0.5 * (Z(2) @ Z(1)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(0) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + -0.75 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) + -0.5 * Z(5) + -0.5 * Z(6) | 4 | 7 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.25, "smallest_bitstrings": ["1100101", "1011010", "1100011", "1110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.007) q[0];
rz(0.2362) q[0];
rx(0.2958) q[1];
rz(-0.003) q[1];
rx(0.4988) q[2];
rz(-0.0039) q[2];
rx(0.5029) q[3];
rz(0.0006) q[3];
rx(0.5091) q[4];
rz(-0.0036) q[4];
rx(0.5056) q[5];
rz(-0.021) q[5];
rx(0.2986) q[6];
rz(-0.0833) q[6];
crx(-0.4805) 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": []} |
-3241859606586776718 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 4], [5, 7], [0, 8, 3], [0, 1, 2, 3, 7], [0, 2, 4, 5, 8], [8, 2, 7], [0, 2, 4, 5, 6], [8, 3, 7], [0, 8, 6], [3, 4, 5], [8, 3, 6]]} | {"states": [310, 374], "expectation_value": -0.15435392752571336, "params": [[-0.0843], [0.07980000000000001]], "bitstrings": ["011001001", "010001001"], "total_optimization_steps": 10, "probabilities": [0.0022445262430022105, 0.0022542026682306334], "optimization_time": 5.291428089141846} | 0.5 * (Z(1) @ Z(4)) + 0.26666666666666666 * (Z(5) @ Z(4)) + 0.05 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.1 * (Z(0) @ Z(4)) + 0.05 * (Z(0) @ Z(1)) + 0.1 * (Z(0) @ Z(5)) + 0.05 * (Z(0) @ Z(7)) + 0.05 * (Z(8) @ Z(4)) + 0.05 * (Z(8) @ Z(5)) + 0.3333333333333333 * (Z(8) @ Z(7)) + 0.3833333333333333 * (Z(8) @ Z(0)) + 0.166... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.6], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.266666666666666, "smallest_bitstrings": ["010001001"]} | 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(-0.0843) q[1];
cx q[4], q[1];
cx q[4], q[5];
rz(-0.045) q[5];
cx q[4], q[5];
cx q[1], q[7];
rz(-0.0084) q[7];
cx q[1], q[7];
cx q[5], q[7];
rz(-0.0843) q[7];
cx q[5], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
7d24aa80c4b1d40dd561c6b6bccbf7db | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, {"source": 3, "ta... | {"states": [148, 180], "expectation_value": -2.8891312810472853, "params": [[0.5098, 0.6613, 0.49810000000000004, 0.6727000000000001, 0.0887, 0.6179, 0.0032, -0.0058000000000000005], [0.6940000000000001, 0.35600000000000004, 0.08750000000000001, 0.5859, 0.0889, 0.6176, 0.0024000000000000002, -0.0008], [0.5184, 0.161, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(6) + 0.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + -0.5 * Z(7) + 0.0 * Z(5) | 10 | 8 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.5, "smallest_bitstrings": ["01001011", "01110100", "01010110", "01110001", "10001011", "01010011", "10010110", "10010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.5098) q[0];
ry(0.6613) q[1];
ry(0.4981) q[2];
ry(0.6727) q[3];
ry(0.0887) q[4];
ry(0.6179) q[5];
ry(0.0032) q[6];
ry(-0.0058) 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[1], q[0];
cz q[0], q[7];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
6143660857144322503 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 5], [1, 3, 5, 6, 7], [0, 2, 4, 7], [0, 4, 5, 6]]} | {"states": [231, 111], "expectation_value": -0.10573777734570239, "params": [0.8, -0.0046, 0.8027000000000001, 0.0082, 0.8014, -0.0046, 0.8065, 0.0045000000000000005, 0.8069000000000001, 0.0034000000000000002, 0.7997000000000001, 0.0056, 0.8072, -0.0037, 0.799, 0.0008, 0.8043, 0.003, 0.7974, 0.0026000000000000003, 0.80... | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(3) @ Z(5)) + 0.05 * (Z(6) @ Z(1)) + 0.08333333333333333 * (... | 6 | 8 | 1 | {"smallest_eigenvalues": [-0.95, -0.95, -0.95], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.9499999999999997, "smallest_bitstrings": ["00110010", "10010000", "01011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8) q[0];
rz(-0.0046) q[0];
rx(0.8014) q[1];
rz(-0.0046) q[1];
rx(0.8069) q[2];
rz(0.0034) q[2];
rx(0.8072) q[3];
rz(-0.0037) q[3];
rx(0.8043) q[4];
rz(0.003) q[4];
rx(0.8065) q[5];
rz(-0.0017) q[5];
rx(0.804) q[6];
rz(-0.0035) q[6];
rx(0.8041) 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": []} |
aba6fa396d14e467ae0d99dd38e3c99d | 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": 3}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 3, "source": 1, "target": 6... | {"states": [64, 63], "expectation_value": -0.3946638967856866, "params": [[-0.032100000000000004, -0.048600000000000004], [0.0176, 0.049800000000000004]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.00993086927747249, 0.0101776461531447], "optimization_time": 3.988667488098... | -0.75 * (Z(0) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + 0.0 * Z(3) + -0... | 1 | 7 | 2 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "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];
cx q[3], q[0];
rz(0.0482) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.0161) q[1];
cx q[3], q[1];
cx q[1], q[4];
rz(0.0963) q[4];
cx q[1], q[4];
cx q[3], q[6];
rz(0.0161) q[6];
cx q[3], q[6];
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] 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": 6} | {"circuits": [], "gradients": []} |
ee0f00774b6823d75df9b3d1e8947ebf | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [6, 65], "expectation_value": -0.6485353607810104, "params": [[0.0743], [-0.0823]], "bitstrings": ["1111001", "0111110"], "total_optimization_steps": 10, "probabilities": [0.00934907243565704, 0.009349072435657056], "optimization_time": 1.856597661972046} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111110", "1011011", "1010111", "0011111", "1111001", "1001111"]} | 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(0.0743) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0743) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0743) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(0.0743) q[4];
cx q[2], q[4];
cx q[0], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(... | null | {"circuits": [], "gradients": []} |
255f1dd604659bd35e94474fe8f5241d | 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": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2... | {"states": [7, 47], "expectation_value": -8.303319260336295, "params": null, "bitstrings": ["1111000", "1010000"], "total_optimization_steps": 61, "probabilities": [0.11121072416847702, 0.7103220940384556], "optimization_time": 72.27952742576599} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111100", "1010000"]} | 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[2];
cry(-1.5708) q[6], q[0];
ry(1.0463) q[6];
ry(-0.5109) q[0];
cry(1.5683) q[6], q[5];
ry(1.5688) q[4];
cry(0.2799) q[5], q[6];
cry(1.4916) q[3], q[1];
cry(1.0507) q[6], q[3];
cry(0.5192) 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(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
da493358a23581be8dd360b1adba9b74 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -16.08682324848002, "params": [0.0031000000000000003, -0.3834, 0.0033, 0.0036000000000000003, 0.0028, -0.56, 0.0028, 0.0089, 0.8014, 0.0671, 0.8044, 0.0014, 0.0026000000000000003, -0.5785, 0.0026000000000000003, 0.001, 0.0029000000000000002, -0.5233, 0.003, 0.0011, 0.003, -0.46... | -0.75 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(10) @ Z(0)) + -0.75 * (Z(10) @ Z(4)) + -1.0 * (Z(10) @ Z(6)) + -0.75 * (Z(3) @ Z(6)) + -0.25 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(10)) + -0.5 * (Z(8) @ Z(3)) + -1.0 * (Z(9) @ Z(1)) + -0.5 * (Z(... | 5 | 11 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0031) q[0];
rz(-0.3834) q[0];
rx(0.0028) q[1];
rz(-0.56) q[1];
rx(0.8014) q[2];
rz(0.0671) q[2];
rx(0.0026) q[3];
rz(-0.5785) q[3];
rx(0.0029) q[4];
rz(-0.5233) q[4];
rx(0.003) q[5];
rz(-0.4675) q[5];
rx(0.003) q[6];
rz(-0.5927) q[6];
rx(0.0025) 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": 10} | {"circuits": [], "gradients": []} |
3c8bd33161699cb22d1ae18a511877e9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 5}, {"weight": 12, "source": 0, "tar... | {"states": [252, 244], "expectation_value": -9.830766905172528, "params": [[-0.0409], [0.0572]], "bitstrings": ["100000011", "100001011"], "total_optimization_steps": 10, "probabilities": [0.00346922530387589, 0.0037977564915578554], "optimization_time": 2.0980422496795654} | 4.5 * (Z(0) @ Z(3)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-85.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["100001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[0];
rz(-0.3681) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.3681) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(-0.3681) q[1];
cx q[0], q[1];
cx q[3], q[2];
rz(-0.3681) q[2];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
0b4befd1b6021b98538c021e6b01d7d2 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 19, "source": 1, "target": 2}, {... | {"states": [218, 122], "expectation_value": -27.045841098350095, "params": [[-0.0383, 0.0074, -0.0103, -0.0056], [0.0777, 0.039900000000000005, 0.057800000000000004, 0.0543]], "bitstrings": ["00100101", "10000101"], "total_optimization_steps": 10, "probabilities": [0.01922422508434141, 0.02495509453729614], "optimizati... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 9.0 * Z(0) + 6.5 * Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "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(-0.3064) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3064) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3064) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.3064) q[3];
cx q[0], 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": []} |
b4764399bb7694871d7cf0cc7a871143 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "so... | {"states": [9, 13], "expectation_value": -8.348527468325594, "params": [[[-0.0022, 0.006200000000000001], [3.1446, 0.003], [-1.6695, 0.0027], [-0.0025, 0.0081], [-3.1444, 0.0039000000000000003]]], "bitstrings": ["10110", "10010"], "total_optimization_steps": 370, "probabilities": [0.45071420970145676, 0.549278642249545... | -1.0 * (Z(0) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(1)) + -3.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(4) + 2.75 * Z(1) + 0.5 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(-0.0022) q[0];
rz(0.0062) q[0];
rx(3.1446) q[1];
rz(0.003) q[1];
rx(-1.6695) q[2];
rz(0.0027) q[2];
rx(-0.0025) q[3];
rz(0.0081) q[3];
rx(-3.1444) 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... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
480f421c6387c3fcdbf1678b1e5bdd17 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [141, 205], "expectation_value": -3.483596828123412, "params": [0.40640000000000004, -0.001, 0.406, -0.0009000000000000001, 0.3976, 0.0016, 0.39740000000000003, 0.0, 0.0001, 0.2131, 0.001, 0.2194, -0.018500000000000003, 0.21480000000000002, -0.0143, 0.21960000000000002, 0.4051, -0.0018000000000000002, 0.4098... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * Z(2) + -0.5 * Z(0) + -2.0 * Z(3) + -0.5 * Z(1) + -0.5 * Z(6) + -0.5 * Z(4) + -0.5 * Z(5) + 0.... | 7 | 8 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["00110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4064) q[0];
rz(-0.001) q[0];
rx(0.3976) q[1];
rz(0.0016) q[1];
rx(0.0001) q[2];
rz(0.2131) q[2];
rx(-0.0185) q[3];
rz(0.2148) q[3];
rx(0.4051) q[4];
rz(-0.0018) q[4];
rx(0.4035) q[5];
rz(-0.0003) q[5];
rx(0.1803) q[6];
rz(0.1307) q[6];
rx(0.4047) 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": []} |
71e10f6a07412051601a17c1aaab540b | 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": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target":... | {"states": [124, 127], "expectation_value": -0.5996896015924907, "params": [[0.0816], [-0.0882]], "bitstrings": ["110000011", "110000000"], "total_optimization_steps": 10, "probabilities": [0.002928602448585711, 0.003089564652297563], "optimization_time": 1.24969482421875} | -1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) | 5 | 9 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["110000000"]} | 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(-0.2448) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.1632) q[2];
cx q[3], q[2];
cx q[5], q[4];
rz(-0.2448) q[4];
cx q[5], q[4];
cx q[5], q[6];
rz(-0.2448) q[6];
cx q[5], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x1) q[2];
cx q[3], q[2];
cx q[5], q[4];
rz(x0) ... | {"node": 2} | {"circuits": [], "gradients": []} |
20a60ed013bc1976376f734be7d8d92c | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [6, 9], "expectation_value": -0.03630829797696969, "params": [[-0.0048000000000000004, -0.0548], [-0.0393, 0.0545]], "bitstrings": ["1001", "0110"], "total_optimization_steps": 10, "probabilities": [0.06554691919519648, 0.06554691919519648], "optimization_time": 1.092219591140747} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1001", "0110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(-0.0048) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.0048) q[2];
cx q[3], q[2];
cx q[2], q[0];
rz(-0.0048) q[0];
cx q[2], q[0];
cx q[3], q[1];
rz(-0.0048) q[1];
cx q[3], q[1];
rz(0.0048) q[0];
rz(0.0048) q[1];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[2], q[0];
rz(x0) ... | null | {"circuits": [], "gradients": []} |
fb6267fe9e00f958431b621d7db08da1 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [11, 1], "expectation_value": -4.752857727781846, "params": null, "bitstrings": ["1110100", "1111110"], "total_optimization_steps": 20, "probabilities": [0.06683590605431504, 0.9171841330013739], "optimization_time": 13.987538814544678} | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + 0.5 * Z(6) + -1.0 * Z(1) + 0.0 * Z(2) + 0.25 * Z(3) + 0.... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "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];
ry(-1.5681) q[1];
ry(1.4449) q[6];
cry(-1.5481) q[6], q[0];
cry(1.0357) q[3], q[5];
ry(-0.9388) q[5];
ry(-0.969) q[3];
cry(-0.8995) q[6], q[5];
ry(-1.5606) q[4];
cry(-0.5227) q[6], q[3];
ry(-1.4153) q[2];... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
9d1382902993d8e771af3489e0021226 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [36, 25], "expectation_value": -0.576546836249503, "params": [[-0.0656, -0.08080000000000001], [0.062200000000000005, 0.0714]], "bitstrings": ["011011", "100110"], "total_optimization_steps": 10, "probabilities": [0.021415157638983037, 0.02314409109007161], "optimization_time": 2.6137592792510986} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(4) + -1.0 * Z(5) + -1.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0656) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0656) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.0656) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.0656) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0... | null | {"circuits": [], "gradients": []} |
-4030814764989538969 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 4, 5], [1, 6, 7], [3, 4], [2, 4, 6, 7], [0, 1, 4, 5], [0, 1, 3], [1, 3, 6], [4, 5, 7], [0, 1, 2, 4, 6], [2, 3, 7], [0, 2, 4, 5]]} | {"states": [234, 233], "expectation_value": -3.022473771205804, "params": null, "bitstrings": ["00010101", "00010110"], "total_optimization_steps": 38, "probabilities": [0.01111657743935052, 0.9834864537714121], "optimization_time": 62.55043292045593} | 0.13333333333333333 * (Z(1) @ Z(2)) + 0.3 * (Z(4) @ Z(2)) + 0.21666666666666667 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.41666666666666663 * (Z(5) @ Z(4)) + 0.13333333333333333 * (Z(6) @ Z(2)) + 0.3833333333333333 * (Z(6) @ Z(1)) + 0.13333333333333333 * (Z(6) @ Z(4... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0333333333333323], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.866666666666667, "smallest_bitstrings": ["00010110"]} | 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(1.5607) q[1];
ry(1.4796) q[4];
cry(-1.2278) q[4], q[3];
ry(1.2875) q[2];
cry(-0.8883) q[2], q[5];
ry(1.0418) q[7];
cry(-0.5748) q[4], q[5];
cry(-0.3343) q[1], q[3];
ry(0.8916) q[0];
cry(-0.8595... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5607) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
7d6ca7bcb082771e20acb1517cc99090 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 6, "source": 2, "target": 3}, {"weight": 14, "source": 2, "target": 4}, {"weight": 17, "source": 2, "targ... | {"states": [374, 118], "expectation_value": -8.199838388738518, "params": [[0.0419], [-0.047400000000000005]], "bitstrings": ["010001001", "110001001"], "total_optimization_steps": 10, "probabilities": [0.003223191699522057, 0.0035313328108734932], "optimization_time": 1.9410052299499512} | 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-85.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["110001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[1];
rz(0.3771) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.3771) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.3771) q[3];
cx q[1], q[3];
cx q[1], q[4];
rz(0.3771) 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[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
7168859842769069668 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 5], [0, 6], [0, 1], [1, 2], [4, 5]]} | {"states": [82, 92], "expectation_value": -0.02711670113249763, "params": [[-0.046400000000000004], [0.0591]], "bitstrings": ["0101101", "0100011"], "total_optimization_steps": 10, "probabilities": [0.008243370538093337, 0.008243370538093337], "optimization_time": 1.251828670501709} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["1011100", "0100011", "0101101", "1010010"]} | 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[3];
rz(-0.0464) q[3];
cx q[5], q[3];
cx q[6], q[0];
rz(-0.0464) q[0];
cx q[6], q[0];
cx q[0], q[1];
rz(-0.0464) q[1];
cx q[0], q[1];
cx q[1], q[2];
rz(-0.0464) q[2];
cx q[1], q[2];
cx q[5], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[1], q[2];
... | null | {"circuits": [], "gradients": []} |
a81a167158580bb999f8e68ace712ae9 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1... | {"states": [64, 63], "expectation_value": -0.05940589403867337, "params": [[0.0118, 0.0303, -0.0354], [-0.0098, -0.0317, 0.0066]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.008233045106042652, 0.008278290710675207], "optimization_time": 5.3055877685546875} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + 0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * Z(1) + -0.25 * Z(0) + 1.25 * Z(2) + -0.75 * Z(3) + -0.25 * Z(4) + -0.25 * Z(6) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "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];
cx q[1], q[0];
rz(-0.0118) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0236) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(-0.0177) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-0.0118) q[3];
cx q[2], q[3];
cx q[2], 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": 6} | {"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": -10.024704580967168, "params": [[-0.0489], [0.0776]], "bitstrings": ["00001001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.007769722565125193, 0.008662496192213324], "optimization_time": 1.655747413635254} | 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 | 1 | {"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(-0.3912) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.3912) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.3912) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(-0.3912) q[3];
cx q[2], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
43f346f2449aaad74bd3d1617b2cab32 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [5, 13], "expectation_value": -3.258649890617616, "params": [0.0027, 0.0008, -0.0043, -0.0058000000000000005, 0.3181, 0.30560000000000004, 0.3831, 0.3885, -0.0126, -0.0022, 0.3917, 0.3919, 0.0032, 0.0009000000000000001, -0.007500000000000001, -0.0132, 0.2938, 0.2851, 0.3901, 0.39030000000000004, -0.0001, 0.0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(5) | 14 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["110010", "101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(0.0027) q[0];
ry(-0.0043) q[1];
ry(0.3181) q[2];
ry(0.3831) q[3];
ry(-0.0126) q[4];
ry(0.3917) q[5];
crx(-0.0068) q[5], q[0];
crx(-0.2492) q[4], q[5];
crx(0.0547) q[3], q[4];
crx(0.1743) q[2], q[3];
crx(0.3002) q[1], q[2];
crx(0.3218) q[0], q[1];
ry(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": []} |
-7846981583810740083 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 3, 4, 6, 7], [0, 1, 3, 5, 6, 7], [0, 1, 2, 3, 5, 6]]} | {"states": [94, 218], "expectation_value": -0.006910869827280879, "params": [[-0.0567], [0.061000000000000006]], "bitstrings": ["10100001", "00100101"], "total_optimization_steps": 10, "probabilities": [0.003944181893148421, 0.003944181893148423], "optimization_time": 3.272629499435425} | 0.06666666666666667 * (Z(1) @ Z(2)) + 0.06666666666666667 * (Z(3) @ Z(2)) + 0.1 * (Z(3) @ Z(1)) + 0.03333333333333333 * (Z(4) @ Z(2)) + 0.03333333333333333 * (Z(4) @ Z(1)) + 0.03333333333333333 * (Z(4) @ Z(3)) + 0.06666666666666667 * (Z(6) @ Z(2)) + 0.1 * (Z(6) @ Z(1)) + 0.1 * (Z(6) @ Z(3)) + 0.03333333333333333 * (Z(6... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.6000000000000001, -0.6000000000000001, -0.6000000000000001, -0.6000000000000001, -0.6000000000000001], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -0.6, "smallest_bitstrings": ["00100101", "10100001", "10011000", "01001100", "11001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(-0.0076) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.0076) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.0113) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(-0.0038) q[4];
cx q[2], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3]... | null | {"circuits": [], "gradients": []} |
0615486ccb356b09654d7a8dd1e9f354 | 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": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3... | {"states": [3, 1], "expectation_value": -2.817095763839337, "params": [[0.0625, 0.0742, 0.0777, 0.07150000000000001], [-0.0308, -0.0505, -0.0618, -0.0567]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.029911214163648205, 0.033127248092394736], "optimization_time": 6.3767557... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(4)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-10.75, -10.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1111110", "1111100"]} | 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(-0.0938) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.125) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.0938) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(-0.0938) q[2];
cx q[1], q[2];
cx q[4], q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
7658827165147977784 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[9, 4], [9, 2], [6, 7], [0, 1], [0, 5], [5, 6], [1, 7], [8, 4], [0, 9], [11, 7], [9, 7], [1, 5], [0, 11], [0, 3], [4, 5], [2, 12], [9, 12], [10, 12], [2, 6], [0, 12], [2, 11], [10, 4], [10, 5], [1, 4], [8, 9], [10, 11], [8, 7], [0, 6], [12, 5], [10, 2... | {"states": [3786, 3802], "expectation_value": -7.565374737703461, "params": [[[0.0026000000000000003, 0.006500000000000001, 0.0037, 0.0009000000000000001], [1.0176, -0.0024000000000000002, 1.0659, 0.0067], [3.1396, 0.0039000000000000003, 0.0095, 0.005], [0.007, -0.00030000000000000003, 1.5633000000000001, 0.0067], [0.0... | 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(5) ... | 12 | 13 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["1000100100101", "0110011011010", "0111011011010", "1001100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.0026) q[0];
rz(0.0065) q[0];
ry(1.0176) q[1];
rz(-0.0024) q[1];
ry(3.1396) q[2];
rz(0.0039) q[2];
ry(0.007) q[3];
rz(-0.0003) q[3];
ry(0.002) q[4];
rz(0.0002) q[4];
ry(0.9393) q[5];
rz(-0.0022) q[5];
ry(3.1396) q[6];
rz(0.0035) q[6];
ry(-0.0028) 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[... | null | {"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": 134.32837867736816} | -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 | 2 | {"smallest_eigenvalues": [-21.75, -21.75, -21.75, -21.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -19.75, "smallest_bitstrings": ["100001100", "111101100", "111111100", "101001100"]} | 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] = ... |
eef64d2a5dbf018785bb2eafc31c3245 | 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": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 6, "source": 3, ... | {"states": [3, 15], "expectation_value": -1.3957436542824257, "params": [[0.0618, 0.055], [-0.0592, -0.0492]], "bitstrings": ["11111100", "11110000"], "total_optimization_steps": 10, "probabilities": [0.007167264812095526, 0.007890618578927928], "optimization_time": 2.435840368270874} | -1.25 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + 2.5 * (Z(7) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(6) @ Z(7)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 1.0 * Z(7) + -2.25 * Z(2) + -0.5 * Z(4) + 2.0 * Z(5) + 0.75 * Z(6) | 1 | 8 | 2 | {"smallest_eigenvalues": [-14.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["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];
cx q[1], q[0];
rz(-0.1545) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.1236) q[3];
cx q[0], q[3];
cx q[0], q[7];
rz(0.309) q[7];
cx q[0], q[7];
cx q[3], q[2];
rz(-0.1854) q[2];
cx q[3], q[2];
cx q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
9166bed2e29ff69e5428606133a6b7da | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [511, 509], "expectation_value": -19.652953181513432, "params": [[[0.0025, 2.609], [0.0022, 0.0024000000000000002], [0.0021000000000000003, 0.002], [-0.0019, 0.0018000000000000002], [0.0035, -0.0026000000000000003], [0.0023, 0.0029000000000000002], [0.0018000000000000002, 0.0018000000000000002], [0.222100000... | -2.5 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -3.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(0)) + 1.5 * (Z(5) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 1.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(5)) + -1.5... | 15 | 9 | 1 | {"smallest_eigenvalues": [-21.5, -21.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -20.5, "smallest_bitstrings": ["000000010", "000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0025) q[0];
ry(0.0022) q[1];
ry(0.0021) q[2];
ry(-0.0019) q[3];
ry(0.0035) q[4];
ry(0.0023) q[5];
ry(0.0018) q[6];
ry(0.2221) q[7];
ry(0.0026) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"node": 9} | {"circuits": [], "gradients": []} |
fe37a95fb62cde91e69aee116b6773bd | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 2}, {"weight": 11, "source": 0, "target": 4}, {"weight": 20, "source": 1, "tar... | {"states": [124, 236], "expectation_value": -28.95805958685711, "params": null, "bitstrings": ["110000011", "100010011"], "total_optimization_steps": 100, "probabilities": [0.058440211323662096, 0.1871033169533792], "optimization_time": 175.3531448841095} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.5, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(3.0513) q[1];
ry(0.1056) q[5];
ry(-13.8995) q[6];
ry(22.4309) q[4];
cry(-63.0965) q[8], q[1];
cry(-62.6511) q[7], q[1];
ry(62.9285) q[2];
cry(-62.8921) q[3], q[1];
cry(-49.6335) q[5], q... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(3.0513) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
79d3baa57f55efbf39bb649ed9c5379a | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 4}, {"weight": 15, "source": 1, "target": 4}, {"weight": 16, "source": 1, "tar... | {"states": [243, 234], "expectation_value": -9.536244211967798, "params": [[0.0441], [-0.062200000000000005]], "bitstrings": ["100001100", "100010101"], "total_optimization_steps": 10, "probabilities": [0.003717320353266736, 0.0040741170960719945], "optimization_time": 2.11078143119812} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-79.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100010101"]} | 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(0.3969) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.3969) q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.3969) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3969) q[2];
cx q[0], q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
48bc2fe3cb79b98fee18d505d1ebe59b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [6614, 6871], "expectation_value": -0.3084274267444669, "params": [[-0.0036000000000000003, -0.0017000000000000001, 0.78, 0.9827, 0.0035, 0.5005000000000001, -0.0, -0.546, -0.3814, 0.28040000000000004, 0.0105, 0.0021000000000000003, 0.14700000000000002], [0.0097, 0.7846000000000001, 0.0019, -0.0037, 0.8619, ... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(5) @ Z(6) @ Z(7)) + 0.125 * (Z(1) @ Z(3)... | 9 | 13 | 4 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75],... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] 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];
cz q[12], q[11];
cz q[11], q[10];
cz q[10], q[9];
cz q[9], 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[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
4743a42b98680c4f321c8f72a752812d | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 4, "source": 3, "target": 4}, {"capaci... | {"states": [190, 447], "expectation_value": -10.673423152046986, "params": [[[-1.5742, 1.5662], [-0.0019, 1.5709000000000002], [1.6155000000000002, 0.003], [0.187, -0.003], [0.0036000000000000003, -0.0029000000000000002], [-0.0018000000000000002, 0.003], [0.012700000000000001, 0.0039000000000000003], [-0.7153, 0.5765],... | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(8)) + 1.0 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(8)) + 2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6... | 15 | 9 | 1 | {"smallest_eigenvalues": [-12.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.833333333333334, "smallest_bitstrings": ["001000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-1.5742) q[0];
ry(-0.0019) q[1];
ry(1.6155) q[2];
ry(0.187) q[3];
ry(0.0036) q[4];
ry(-0.0018) q[5];
ry(0.0127) q[6];
ry(-0.7153) q[7];
ry(-0.8607) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
343e3c6eb2e834e4a6a39fa18646b743 | 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": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [1023, 159], "expectation_value": -2.926566524782982, "params": [[-0.0616], [0.06860000000000001]], "bitstrings": ["0000000000", "1101100000"], "total_optimization_steps": 10, "probabilities": [0.001980516222990297, 0.0020450402246242256], "optimization_time": 2.490628719329834} | -2.0 * (Z(0) @ Z(3)) + -2.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 1.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(1)) + -2.5 * (Z(5) @ Z(6)) + -2.5 * (Z(9) @ Z(6)) + -2.5 * (Z(9) @ Z(5)) + 1.5 * (Z(2) @ Z(6)) + -3.0 * (Z(2) @ Z(5)) + -3.0 * (Z(2) @ Z(9)) + -3.0 * (Z(8) @ Z(6)) + 1.5 * (Z(8) @ Z(5)) + -3.0 * (Z(8) @ Z(9)) + -3... | 5 | 10 | 1 | {"smallest_eigenvalues": [-31.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.5, "smallest_bitstrings": ["1101100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[3], q[0];
rz(0.2464) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.308) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(-0.0616) q[1];
cx q[0], q[1];
cx q[3], q[4];
rz(-0.1232) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[3], q[0];
rz(... | {"node": 4} | {"circuits": [], "gradients": []} |
545bcfb51b62530fdc9be7975a5d5ce0 | 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": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [7, 76], "expectation_value": -0.01749062916372672, "params": [[-0.025900000000000003], [0.0165]], "bitstrings": ["1111000", "0110011"], "total_optimization_steps": 10, "probabilities": [0.007886257341448781, 0.007899562362676138], "optimization_time": 1.4405384063720703} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ 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(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(6) + -1.0 * Z(3) + 0.0 * Z(4) + -0.5 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["0101011", "0110011", "1101001", "1111000", "1110010"]} | 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(-0.0259) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(-0.0259) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0.0259) q[5];
cx q[0], q[5];
cx q[0], q[6];
rz(-0.0259) q[6];
cx q[0], q[6];
cx q[1], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(x0) q[5];
cx q[1], q[5]... | null | {"circuits": [], "gradients": []} |
9e8a866d2c0011b6946d4c64e758f31c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [3, 28], "expectation_value": -0.5258307101081046, "params": [[-0.0584, -0.032100000000000004, -0.0183, 0.0731], [0.07980000000000001, 0.0608, 0.054200000000000005, -0.0205]], "bitstrings": ["111100", "100011"], "total_optimization_steps": 10, "probabilities": [0.02062195111911913, 0.021771054250743497], "op... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0584) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0584) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(-0.0584) q[4];
cx q[0], q[4];
cx q[2], q[4];
rz(-0.0584) q[4];
cx q[2], 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] 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": []} |
6929307530110604714 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 2, 5, 8, 11], [1, 11, 5], [1, 3, 7], [2, 4, 12], [0, 1, 2, 4, 5], [10, 2], [0, 2, 3, 6, 9], [2, 7], [3, 12, 6], [11, 12, 6], [1, 6, 8, 10, 12], [5, 7, 9, 10, 11], [12, 5], [5, 6], [0, 10], [0, 9, 2, 1], [2, 3, 4, 5, 11], [8, 9, 10], [0, 8, 4, 9], ... | {"states": [7707, 7771], "expectation_value": -5.187501734420028, "params": [1.5745, 1.5707, 1.5721, 1.5744, 1.3536000000000001, 1.3584, 1.7904, 1.3644, 0.7275, 0.7188, 0.09140000000000001, 0.0887, 0.8628, 0.8222, 0.1683, 0.1721, 1.6009, 1.5532000000000001, 1.7296, 1.4119000000000002, 0.054, 0.056600000000000004, 1.538... | 0.23333333333333334 * (Z(0) @ Z(2)) + 0.15000000000000002 * (Z(5) @ Z(2)) + 0.1 * (Z(5) @ Z(0)) + 0.05 * (Z(8) @ Z(2)) + 0.13333333333333333 * (Z(8) @ Z(0)) + 0.05 * (Z(8) @ Z(5)) + 0.1 * (Z(11) @ Z(2)) + 0.05 * (Z(11) @ Z(0)) + 0.31666666666666665 * (Z(11) @ Z(5)) + 0.05 * (Z(11) @ Z(8)) + 0.13333333333333333 * (Z(1) ... | 13 | 13 | 1 | {"smallest_eigenvalues": [-5.700000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.500000000000003, "smallest_bitstrings": ["0000110100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.5745) q[0];
ry(1.5721) q[1];
ry(1.3536) q[2];
ry(1.7904) q[3];
ry(0.7275) q[4];
ry(0.0914) q[5];
ry(0.8628) q[6];
ry(0.1683) q[7];
ry(1.6009) q[8];
ry(1.7296) q[9];
ry(0.054) q[10];
ry(1.5387) q[11];
ry(1.5668) q[12];
crz(0.0018) q[12], q[0];
crz(0.003)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
dc8ac5f82febba9dcace181eb5c76eb3 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": ... | {"states": [102, 58], "expectation_value": -0.4596913790722306, "params": [[0.0599, 0.062200000000000005, 0.0665, 0.0692], [-0.0509, -0.057800000000000004, -0.0584, -0.0565]], "bitstrings": ["0011001", "1000101"], "total_optimization_steps": 10, "probabilities": [0.015497026006107577, 0.01549702600610758], "optimizatio... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(1) @ Z(3) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["0011001", "1000101"]} | 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(0.03) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.03) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.03) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.03) q[0];
cx q[1], q[0];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
d95402f534dca4e34937ada56ff64246 | 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": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 4... | {"states": [0, 1], "expectation_value": -8.632487814256919, "params": [-0.0026000000000000003, 0.2595, 0.0036000000000000003, 0.29660000000000003, 0.0026000000000000003, 0.3143, 0.0016, 0.3125, 0.0051, 0.29860000000000003, 0.006200000000000001, 0.2514, 0.4057, 0.0014, -0.005, 0.2318, 0.002, 0.28700000000000003, 0.0019,... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + 2.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + -1.5 * Z(2) + 0.25 * Z(4) + -0.5 * Z(5) + 1.5 * Z(3) + 1.5... | 3 | 7 | 4 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0026) q[0];
rz(0.2595) q[0];
rx(0.0036) q[1];
rz(0.2966) q[1];
rx(0.0026) q[2];
rz(0.3143) q[2];
rx(0.0016) q[3];
rz(0.3125) q[3];
rx(0.0051) q[4];
rz(0.2986) q[4];
rx(0.0062) q[5];
rz(0.2514) q[5];
rx(0.4057) q[6];
rz(0.0014) q[6];
crz(0.0101) 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] 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": []} |
-5427202241786784198 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 3, 4], [9, 4, 6], [0, 4], [8, 2], [2, 5], [9, 7]]} | {"states": [481, 417], "expectation_value": -1.8206689943389718, "params": [0.9129, 0.033800000000000004, 0.0753, 0.0025, 1.1078000000000001, -0.3796, 1.0956000000000001, 0.0016, 1.0985, -0.25620000000000004, 1.1019, 0.006, 1.1034000000000002, 0.4264, 0.6353, 0.0034000000000000002, 1.0947, -0.27740000000000004, 1.1007,... | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(9) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(9)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(9)) + 0.16... | 6 | 10 | 1 | {"smallest_eigenvalues": [-2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666, -2.666666666666666], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.333333333333334, "smallest_b... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.9129) q[0];
rz(0.0338) q[0];
rx(1.1078) q[1];
rz(-0.3796) q[1];
rx(1.0985) q[2];
rz(-0.2562) q[2];
rx(1.1034) q[3];
rz(0.4264) q[3];
rx(1.0947) q[4];
rz(-0.2774) q[4];
rx(0.9482) q[5];
rz(-0.2291) q[5];
rx(1.0978) q[6];
rz(0.4385) q[6];
rx(0.9163) 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": []} |
b93e7e87e2621c92c7ba04b041c49bf3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 2}, {"weight": 14, "source": 0, "target": 4}, {"weight": 13, "source": 1, "target": 2}, {"weight": 1... | {"states": [125, 122], "expectation_value": -23.230393411516385, "params": [[0.0256, 0.0108, -0.0035], [-0.0551, -0.0684, -0.0678]], "bitstrings": ["10000010", "10000101"], "total_optimization_steps": 10, "probabilities": [0.011724331481875223, 0.015181001760008816], "optimization_time": 6.259137153625488} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) @ Z(4)) + 3.5 * (Z(7) @ Z(6)) + 16.5 * Z(1) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-61.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.5, "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(0.1792) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1792) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1792) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.1792) 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] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
277583423526920355 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 4], [1, 2, 3, 4]]} | {"states": [13, 11], "expectation_value": -0.6142917958561276, "params": null, "bitstrings": ["10010", "10100"], "total_optimization_steps": 25, "probabilities": [0.15909846184786472, 0.21137654843938944], "optimization_time": 17.906405687332153} | 0.5 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.1250000000000001 * Z(4) + 0.0 * Z(0) + 0.125 * Z(1) + 0.125 * Z(2) +... | 1 | 5 | 1 | {"smallest_eigenvalues": [-0.7500000000000001, -0.7500000000000001, -0.7500000000000001], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.7499999999999999, "smallest_bitstrings": ["11000", "10100", "10010"]} | 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];
cry(-1.0342) q[4], q[0];
ry(0.9138) q[4];
ry(-0.6219) q[0];
cry(0.329) q[3], q[4];
cry(0.2245) q[2], q[4];
cry(-0.2349) q[3], q[0];
cry(0.197) q[1], q[4];
ry(0.279) q[1];
cry(-0.1685) q[1], q[0];
cry(0.1616) q[4], q[1];
... | 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];\ncry(-1.0342) q[4], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... |
18da590fe700e31fa390d98ebb622e6e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 8}, {"capac... | {"states": [1023, 511], "expectation_value": -0.7422718624198918, "params": [[0.06430000000000001], [-0.051500000000000004]], "bitstrings": ["0000000000", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.001336508532774392, 0.001359270509928376], "optimization_time": 3.5819554328918457} | -0.75 * (Z(0) @ Z(2)) + -1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -0.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(6)) + 2.75 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(8)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(6)) + -1.0 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(8)) + -1.0 * (Z(4) @ Z(9)) + -0.75 * (Z(3) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["1000000000"]} | 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(-0.0965) q[0];
cx q[2], q[0];
cx q[0], q[6];
rz(-0.1286) q[6];
cx q[0], q[6];
cx q[2], q[8];
rz(-0.0643) q[8];
cx q[2], q[8];
cx q[0], q[8];
rz(-0.0965) 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] 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": 9} | {"circuits": [], "gradients": []} |
db3eea64102268372a279e794254c1af | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -11.540513015336549, "params": [-0.0013000000000000002, 0.2165, 0.0007, 0.22210000000000002, -0.0048000000000000004, 0.2333, -0.0026000000000000003, 0.23520000000000002, 0.30510000000000004, -0.0022, 0.3069, -0.0022, -0.0017000000000000001, 0.23600000000000002, -0.0022, 0.23600... | -0.25 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(1) @ Z(8)) + -0.25 * (Z(5) @ Z(8)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(8)) + -1.0 * (Z(7) @ Z(1)) + -0.25 * (Z(9) @ Z(4)) + -0.75 * (Z(9... | 6 | 11 | 3 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0013) q[0];
rz(0.2165) q[0];
rx(-0.0048) q[1];
rz(0.2333) q[1];
rx(0.3051) q[2];
rz(-0.0022) q[2];
rx(-0.0017) q[3];
rz(0.236) q[3];
rx(0.0089) q[4];
rz(0.1247) q[4];
rx(-0.0328) q[5];
rz(0.1402) q[5];
rx(0.0002) q[6];
rz(0.2295) q[6];
rx(0.0027) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
6eeafc1802cd635d6723c166bcb76122 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3... | {"states": [43, 59], "expectation_value": -3.964702267258178, "params": null, "bitstrings": ["1010100", "1000100"], "total_optimization_steps": 31, "probabilities": [0.21434492943477582, 0.21434666737942695], "optimization_time": 25.305039882659912} | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -1.25 * Z(4) + -0.25 * Z(0) + 0.5 * Z(6) + 0.0 * Z(2) + 0.75 * Z(1) + -0.25 * Z(3) + 0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25, -4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.25, "smallest_bitstrings": ["1000100", "1000110", "1111100", "1111110", "1010100", "1010110"]} | 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(-1.5706) q[4];
ry(1.5486) q[1];
cry(-1.5486) q[6], q[0];
ry(1.0727) q[6];
cry(-0.5898) q[1], q[0];
cry(1.4448) q[1], q[3];
cry(0.3799) q[1], q[6];
ry(-0.1585) q[0];
cry(0.0908) q[3], q[6];
ry(0.1185) 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(-1.5706) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
09fb76abbd16e0a247c5e051a4b2c213 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target":... | {"states": [511, 507], "expectation_value": -0.3784272394915146, "params": [[-0.040100000000000004], [0.0444]], "bitstrings": ["000000000", "000000100"], "total_optimization_steps": 10, "probabilities": [0.0023988507094278863, 0.0024159639394640375], "optimization_time": 2.389673948287964} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -2.0 * (Z(5) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(6) | 5 | 9 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["000000100"]} | 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(0.0802) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(0.1604) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(0.1604) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(0.1604) q[4];
cx q[2], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x1) q[2];
cx q[3], q[2];
cx... | {"node": 6} | {"circuits": [], "gradients": []} |
af458648554de42d1265969eb5319ca5 | 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": 5}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 1, "source": ... | {"states": [0, 256], "expectation_value": -16.61918788667692, "params": [-0.0055000000000000005, 0.0027, -0.0048000000000000004, -0.0037, -0.0066, 0.0014, 0.3013, 0.3037, 0.0027, -0.005, 0.0013000000000000002, -0.0021000000000000003, 0.034300000000000004, 0.0703, -0.0023, -0.0063, -0.0076, 0.0007, -0.002900000000000000... | -0.5 * (Z(0) @ Z(7)) + -0.75 * (Z(10) @ Z(0)) + -0.25 * (Z(3) @ Z(7)) + 1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(1) @ Z(10)) + -0.25 * (Z(1) @ Z(3)) + -1.0 * (Z(5) @ Z(10)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(10)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(4) @ Z(7)) + -1.0 * (Z(... | 14 | 12 | 3 | {"smallest_eigenvalues": [-17.0, -17.0, -17.0, -17.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -16.0, "smallest_bitstrings": ["100000000000", "100000000001", "111011011111", "111011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0055) q[0];
ry(-0.0048) q[1];
ry(-0.0066) q[2];
ry(0.3013) q[3];
ry(0.0027) q[4];
ry(0.0013) q[5];
ry(0.0343) q[6];
ry(-0.0023) q[7];
ry(-0.0076) q[8];
ry(-0.0029) q[9];
ry(0.0027) q[10];
ry(0.0001) q[11];
crx(-0.1897) q[11], q[0];
crx(-0.1531) q[10], ... | 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": 11} | {"circuits": [], "gradients": []} |
7711696590830028585 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 6], [1, 2, 3, 5], [0, 2, 3, 4, 7, 8], [0, 1, 3], [0, 1, 2, 7, 8], [8, 1, 5, 7], [8, 1, 3, 6], [0, 5], [0, 1, 4], [2, 6], [5, 6]]} | {"states": [245, 249], "expectation_value": -3.285698024125083, "params": null, "bitstrings": ["100001010", "100000110"], "total_optimization_steps": 64, "probabilities": [0.02389362048428856, 0.8721536640301253], "optimization_time": 164.3722848892212} | 0.5 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.03333333333333333 * (Z(2) @ Z(4)) + 0.13333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(6)) + 0.03333333333333333 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.116666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.5666666666666673], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.4833333333333334, "smallest_bitstrings": ["100000110"]} | 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(1.5567) q[1];
cry(-0.9736) q[5], q[6];
ry(1.3119) q[2];
cry(-0.7332) q[4], q[6];
ry(1.1252) q[4];
cry(1.0752) q[4], q[5];
cry(-0.5424) q[1], q[6];
cry(-1.4732) q[5], q[0];
ry(0.3388) 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(1.5567) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
ef1b258390ebdcaf766a21bfe0acae0d | 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": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [645, 1669], "expectation_value": -84.71373943047318, "params": [[0.4908, 1.1640000000000001, 0.126, 1.5015, -0.0022, -0.0026000000000000003, -0.0027, 0.2781, 1.4938, -0.0179, 0.1733], [1.5093, 1.5018, 1.5021, 1.5001, -0.019200000000000002, -0.0026000000000000003, -0.0027, 0.6784, 1.4968000000000001, 0.668, ... | 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(7) @ Z(0)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(9) @ Z(1)) + 7.0 * (Z(9) @ Z(3)) + 7.0 * (Z(10) @ Z(2)) + 7.0 * (Z(10) @ Z(8)) + 17.5 * Z(2) + 22.0 * Z(1) + 15.0 * Z(0) + 15.0 * Z(3) ... | 10 | 11 | 1 | {"smallest_eigenvalues": [-114.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -110.5, "smallest_bitstrings": ["00101111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.4908) q[0];
ry(1.164) q[1];
ry(0.126) q[2];
ry(1.5015) q[3];
ry(-0.0022) q[4];
ry(-0.0026) q[5];
ry(-0.0027) q[6];
ry(0.2781) q[7];
ry(1.4938) q[8];
ry(-0.0179) q[9];
ry(0.1733) q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
9ab53f7aa1b34f991ec1ef091b962aaf | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 9}, {"source": 4, "target":... | {"states": [127, 511], "expectation_value": -14.587400079288699, "params": null, "bitstrings": ["110000000", "000000000"], "total_optimization_steps": 100, "probabilities": [0.1212878584914731, 0.42749871410447443], "optimization_time": 174.8481261730194} | -1.5 * (Z(1) @ Z(0)) + -2.0 * (Z(2) @ Z(4)) + 0.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(2)) + -2.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + -2.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + -2.5 * (Z(7) @ Z(8)) + 0.5 *... | 5 | 9 | 1 | {"smallest_eigenvalues": [-18.5, -18.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["000000000", "110000000"]} | 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(1.5708) q[6], q[7];
cry(1.5708) q[7], q[5];
cry(1.1127) q[5], q[6];
cry(1.5708) q[4], q[3];
ry(1.0031) q[4];
cry(1.5708) q[8], q[2];
ry(1.1023) q[8];
cry(-0.5163) q[5], q[7];
ry(-0.186... | null | {"node": 0} | {"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(1.5708) q[6], 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... |
c49166fbb17d117bf582125112530f15 | 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": [373, 357], "expectation_value": -96.02983218990843, "params": [0.0022, 0.0016, 0.0027, 0.0006000000000000001, 2.8071, 0.0076, -0.002, 0.0071, 2.8058, 0.003, 2.7965, 0.0004, 1.5661, 0.0031000000000000003, 0.38830000000000003, 0.0007, 2.8029, 0.0081, 0.8149000000000001, 0.0078000000000000005, 2.80760000000000... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(6) @ Z(2)) + 7.5 * (Z(4) @ Z(6)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(7) @ Z(4)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(0) @ Z(8)) + 7.5 * (Z(9) @ Z(5)) + 7.5 * (Z(10) @ Z(9)) + 7.5 * (Z(3) @ Z(10)) + 8.0 * Z(2) + -2.5 * Z(1) + 12.5 * Z(6) + 14.0 * Z(4) + 13.5 * Z(5) + 0.5 * Z... | 18 | 11 | 1 | {"smallest_eigenvalues": [-115.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -95.5, "smallest_bitstrings": ["11010011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0022) q[0];
rz(0.0016) q[0];
rx(0.0027) q[1];
rz(0.0006) q[1];
rx(2.8071) q[2];
rz(0.0076) q[2];
rx(-0.002) q[3];
rz(0.0071) q[3];
rx(2.8058) q[4];
rz(0.003) q[4];
rx(2.7965) q[5];
rz(0.0004) q[5];
rx(1.5661) q[6];
rz(0.0031) q[6];
rx(0.3883) 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_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
8b86b8c78e12bc4605ea690d344857fc | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [853, 981], "expectation_value": -2.1498655451844897, "params": [0.1897, 0.37970000000000004, 0.6940000000000001, 0.3553, 0.8906000000000001, -0.0241, 0.5616, 0.1524, 0.9002, 0.2097, 0.2913, 0.3739, 0.8938, 0.2607, -0.0086, 0.543, 0.9016000000000001, 0.1501, 0.48860000000000003, 0.2192, 0.8973000000000001, 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(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(8)) + 0.25 * (Z(3) @ Z(8)) + -0.25 * (Z(0) @ Z(3) @ Z(8)) ... | 18 | 11 | 3 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 25, "first_excited_energy": -2.437... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.1897) q[0];
rz(0.3797) q[0];
rx(0.694) q[1];
rz(0.3553) q[1];
rx(0.8906) q[2];
rz(-0.0241) q[2];
rx(0.5616) q[3];
rz(0.1524) q[3];
rx(0.9002) q[4];
rz(0.2097) q[4];
rx(0.2913) q[5];
rz(0.3739) q[5];
rx(0.8938) q[6];
rz(0.2607) q[6];
rx(-0.0086) 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": []} |
-443118916872246947 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4, 6], [0, 1, 2, 3, 4, 7], [0, 1, 4, 5, 7], [0, 1, 3, 5], [1, 3, 5, 6], [3, 6, 7], [0, 1, 2, 6], [1, 2, 3, 4, 5], [2, 3, 6]]} | {"states": [158, 175], "expectation_value": -1.0071976058704326, "params": [[0.2758], [-0.28]], "bitstrings": ["01100001", "01010000"], "total_optimization_steps": 30, "probabilities": [0.008437475145932407, 0.008612118672724654], "optimization_time": 1.716627597808838} | 0.3 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.3333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333334 * (Z(0) @ Z(4)) + 0.25 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(6)) + 0.08333333333333334 * (Z(2) @ Z(4)) + 0.16666666666666669 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(6)) + 0.11666666666666667 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.183333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1666666666666674, "smallest_bitstrings": ["01010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[1];
rz(0.1655) q[1];
cx q[4], q[1];
cx q[4], q[6];
rz(0.0919) q[6];
cx q[4], q[6];
cx q[1], q[6];
rz(0.1839) q[6];
cx q[1], q[6];
cx q[4], q[0];
rz(0.046) q[0];
cx q[4], q[0];
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[... | null | {"circuits": [], "gradients": []} |
4212948299676875809 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4, 5], [2, 3, 5, 6], [0, 5, 6], [0, 4, 7], [3, 4, 7], [0, 1, 3], [0, 2], [6, 7], [2, 4, 5, 7], [0, 3, 4, 5], [0, 1, 4]]} | {"states": [122, 213], "expectation_value": -1.1001297880761878, "params": [[-0.2444], [0.2501]], "bitstrings": ["10000101", "00101010"], "total_optimization_steps": 30, "probabilities": [0.009799115802661698, 0.009915419028361855], "optimization_time": 4.144927263259888} | 0.3333333333333333 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.25 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(2... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.2500000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0833333333333326, "smallest_bitstrings": ["00101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[1];
rz(-0.1629) q[1];
cx q[4], q[1];
cx q[4], q[5];
rz(-0.1629) q[5];
cx q[4], q[5];
cx q[1], q[5];
rz(-0.0815) q[5];
cx q[1], q[5];
cx q[4], q[2];
rz(-0.0407) q[2];
cx q[4], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | null | {"circuits": [], "gradients": []} |
f490a28ecdd83f85cb7689547a0eb0f1 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [20, 38], "expectation_value": -0.1601853731356243, "params": [[-0.0717, -0.0302], [0.07930000000000001, 0.0584]], "bitstrings": ["101011", "011001"], "total_optimization_steps": 10, "probabilities": [0.017956264759655106, 0.0200476737178496], "optimization_time": 2.4462337493896484} | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.75 * Z(2) + 0.0 * Z(3) + -0.25 * Z(4) + -0.7... | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0717) q[0];
cx q[1], q[0];
cx q[2], q[3];
rz(-0.0358) q[3];
cx q[2], q[3];
cx q[4], q[2];
rz(-0.0358) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(-0.0358) q[3];
cx q[4], q[3];
cx q[4], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} |
fd959b015d7c5b50b2cd05831ed95a60 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 2}, {"weight": 17, "source": 0, "target": 4}, {"weight": 19, "source": 1, "target": 2}, {"weight": 1... | {"states": [219, 122], "expectation_value": -43.5964027719992, "params": null, "bitstrings": ["00100100", "10000101"], "total_optimization_steps": 100, "probabilities": [0.13386896449906283, 0.3013653293628955], "optimization_time": 177.12911343574524} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-73.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.0, "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];
ry(-3.4097) q[3];
ry(7.3963) q[6];
cry(-21.8231) q[6], q[3];
ry(15.7536) q[1];
cry(-63.1937) q[6], q[1];
ry(3.4277) q[2];
ry(5.268) q[0];
cry(-63.4586) q[6], q[2];
ry(62.9219) q[4];
cry(24.499) q[... | null | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"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(-3.4097) 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... |
28550855a20366800e3fd917bf6489e0 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [17, 1], "expectation_value": -5.062217743352777, "params": null, "bitstrings": ["11101110", "11111110"], "total_optimization_steps": 27, "probabilities": [0.15063236032211283, 0.6761288203102811], "optimization_time": 26.9061496257782} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["11101110", "11111110", "11100110", "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];
cry(-1.5486) q[7], q[0];
ry(1.035) q[7];
ry(-0.4546) q[0];
ry(-1.5039) q[6];
ry(-1.5696) q[5];
ry(-1.5299) q[1];
ry(-1.4553) q[2];
ry(-1.4442) q[4];
cry(0.3186) q[3], q[7];
cry(-0.2529) q[3], q[0]... | 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];\ncry(-1.5486) q[7], 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] = me... |
-4896897172376867754 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 4], [0, 3, 5], [0, 1, 6], [1, 3, 5], [2, 4], [4, 5], [0, 4], [3, 4, 6], [0, 1, 3], [2, 3, 5]]} | {"states": [44, 115], "expectation_value": -0.15232644660397782, "params": [[0.0799], [-0.0845]], "bitstrings": ["1010011", "0001100"], "total_optimization_steps": 10, "probabilities": [0.008776189685230834, 0.00886027782993716], "optimization_time": 0.6929030418395996} | 0.5 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8333333333333326, "smallest_bitstrings": ["0001100"]} | 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[1];
rz(0.0799) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(0.0533) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(0.0266) q[4];
cx q[1], q[4];
cx q[3], q[0];
rz(0.0533) q[0];
cx q[3], q[0];
cx q[1], q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(x1) q[4];
cx q[3], q[4]... | null | {"circuits": [], "gradients": []} |
f752144ac1a739bd90fc077fd8614013 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"sour... | {"states": [176, 432], "expectation_value": -6.969572287272944, "params": [[[0.5983, 0.004200000000000001], [0.6028, -0.004], [-0.0109, -0.2746], [0.6002000000000001, -0.004200000000000001], [0.6027, -0.0019], [0.0046, -0.2982], [-0.0008, 0.3296], [0.0046, 0.2831], [0.0023, 0.311]], [[0.6016, 0.004200000000000001], [0.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["001001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.5983) q[0];
rz(0.0042) q[0];
rx(0.6028) q[1];
rz(-0.004) q[1];
rx(-0.0109) q[2];
rz(-0.2746) q[2];
rx(0.6002) q[3];
rz(-0.0042) q[3];
rx(0.6027) q[4];
rz(-0.0019) q[4];
rx(0.0046) q[5];
rz(-0.2982) q[5];
rx(-0.0008) q[6];
rz(0.3296) q[6];
rx(0.0046) 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": []} |
08f813073a3ca8e36bbb881930ac3ce8 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [500, 468], "expectation_value": -95.7389357275369, "params": [-0.0048000000000000004, 0.4536, 0.6992, -0.0038, 0.6854, 0.1337, 0.6875, 0.1794, 0.35710000000000003, 0.2096, 0.6926, 0.1106, 0.2775, 0.28150000000000003, 0.6981, 0.1384, -0.007500000000000001, 0.3783, -0.0025, -0.4288, -0.0029000000000000002, 0.... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(2) @ Z(4)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(2) @ Z(5)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(7) @ Z(5)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(9) @ Z(1)) + -4.0 * Z(0) + 8.5 * Z(1) + 10.0 * Z(4) + 15.5 * Z(3) + 3... | 18 | 10 | 4 | {"smallest_eigenvalues": [-113.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -105.0, "smallest_bitstrings": ["1000101011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0048) q[0];
rz(0.4536) q[0];
rx(0.6992) q[1];
rz(-0.0038) q[1];
rx(0.6854) q[2];
rz(0.1337) q[2];
rx(0.6875) q[3];
rz(0.1794) q[3];
rx(0.3571) q[4];
rz(0.2096) q[4];
rx(0.6926) q[5];
rz(0.1106) q[5];
rx(0.2775) q[6];
rz(0.2815) q[6];
rx(0.6981) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
a2b703670d19247f6071de624d813f7d | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [43, 41], "expectation_value": -0.6792717494602316, "params": [[-0.0553, -0.0614], [0.0649, 0.07100000000000001]], "bitstrings": ["1010100", "1010110"], "total_optimization_steps": 10, "probabilities": [0.010473492713454388, 0.01080168191827913], "optimization_time": 3.8335189819335938} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -2.0 * Z(2) + -1.5 * Z(6) + -1.0 * Z(4) + -1.0 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["0110101", "1010110", "0110011", "1010101"]} | 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(-0.0553) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0553) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0553) q[2];
cx q[0], q[2];
cx q[0], q[6];
rz(-0.0553) q[6];
cx q[0], q[6];
cx q[2], q[6... | 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];... | null | {"circuits": [], "gradients": []} |
d576b64149ed4af7fd9893f4ff01f3b9 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, ... | {"states": [65, 1], "expectation_value": -9.249999999968587, "params": null, "bitstrings": ["10111110", "11111110"], "total_optimization_steps": 24, "probabilities": [0.4999999999968046, 0.4999999999968046], "optimization_time": 23.278284072875977} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(3)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + -0.25 * Z(4) + 1.5 * Z(7) + -1.0 * Z(5) + ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["11111110", "10111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[7];
ry(-1.5708) q[0];
ry(-1.5681) q[5];
ry(-1.5681) q[3];
ry(-1.5706) q[4];
ry(-1.5708) q[6];
ry(-1.5681) q[2];
cry(-0.0027) q[7], q[3];
cry(-0.0027) q[7], q[5];
cry(-0.0027) q[7], q[... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
4a7c3e6f0585cb0d9d023db1825bd430 | 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": [414, 398], "expectation_value": -67.18462266664231, "params": [0.4273, 0.37720000000000004, 0.8967, 0.0071, 0.9026000000000001, 0.21300000000000002, 0.4086, 0.3674, 0.0038, -0.4418, 0.48710000000000003, 0.24830000000000002, 0.9032, 0.028800000000000003, 0.8944000000000001, -0.0066, 0.9049, 0.247000000000000... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(7) @ Z(0)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(5) @ Z(2)) + 7.0 * (Z(5) @ Z(7)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(4) @ Z(8)) + 7.0 * (Z(9) @ Z(6)) + 7.0 * (Z(9) @ Z(8)) + 8.5 * Z(1) + 4.5 * Z(0) + 4.0 * Z(3) + 7.0 * Z(2) + 12.5 * Z(7) + 14.0 * Z(6) ... | 18 | 10 | 3 | {"smallest_eigenvalues": [-97.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["1001110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.4273) q[0];
rz(0.3772) q[0];
rx(0.8967) q[1];
rz(0.0071) q[1];
rx(0.9026) q[2];
rz(0.213) q[2];
rx(0.4086) q[3];
rz(0.3674) q[3];
rx(0.0038) q[4];
rz(-0.4418) q[4];
rx(0.4871) q[5];
rz(0.2483) q[5];
rx(0.9032) q[6];
rz(0.0288) q[6];
rx(0.8944) 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, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
2353079fa286d356ce3844ef645b5899 | 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": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 1, "source": 2, ... | {"states": [5, 1], "expectation_value": -6.7499854908656385, "params": null, "bitstrings": ["11111010", "11111110"], "total_optimization_steps": 22, "probabilities": [1.2625284362786262e-05, 0.999985546168183], "optimization_time": 24.525437355041504} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(2)) + 0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.75, "smallest_bitstrings": ["11111110", "10001000", "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];
ry(-1.5708) q[2];
ry(-1.5681) q[4];
ry(-1.5486) q[0];
ry(1.5681) q[7];
ry(-1.4449) q[1];
ry(-1.4417) q[3];
ry(-1.5679) q[6];
ry(-1.4449) q[5];
cry(-0.1259) q[7], q[1];
cry(-0.129) q[7], q[3];
cry(... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
7861599457986712740 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 6, 7], [1, 2, 3, 5, 7], [0, 2, 4, 7], [1, 2, 4, 5, 6, 8], [8, 2, 5, 7], [0, 1, 2, 3, 4, 5], [1, 3, 5, 6, 7, 8], [1, 2, 3, 5, 6, 8], [8, 2, 3, 7], [8, 0, 7], [0, 1, 3, 7], [0, 2, 4, 5, 8], [0, 1, 3, 4, 5, 6], [0, 1, 2, 6, 8]]} | {"states": [486, 462], "expectation_value": -3.124660994646399, "params": null, "bitstrings": ["000011001", "000110001"], "total_optimization_steps": 47, "probabilities": [0.02224408884322847, 0.912535270897831], "optimization_time": 430.434898853302} | 0.2333333333333333 * (Z(4) @ Z(6)) + 0.19999999999999998 * (Z(7) @ Z(6)) + 0.25 * (Z(7) @ Z(4)) + 0.18333333333333335 * (Z(1) @ Z(6)) + 0.1 * (Z(1) @ Z(4)) + 0.16666666666666669 * (Z(1) @ Z(7)) + 0.11666666666666667 * (Z(2) @ Z(6)) + 0.2 * (Z(2) @ Z(4)) + 0.3 * (Z(2) @ Z(7)) + 0.2 * (Z(2) @ Z(1)) + 0.1 * (Z(3) @ Z(6)) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.183333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.1666666666666665, "smallest_bitstrings": ["000110001"]} | 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(1.5685) q[7];
ry(1.5158) q[2];
ry(1.3021) q[1];
cry(-0.58) q[0], q[8];
ry(0.6871) q[6];
cry(-0.5201) q[5], q[8];
cry(0.5145) q[2], q[6];
cry(-0.618) q[0], q[4];
ry(0.555) q[0];
cry(-0.6... | 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(1.5685) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
c0acbd012fdf8058193f775d048e653e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, ... | {"states": [108, 116], "expectation_value": -3.7906258113925295, "params": null, "bitstrings": ["0010011", "0001011"], "total_optimization_steps": 48, "probabilities": [0.0476910282024665, 0.8614511453473082], "optimization_time": 55.9308967590332} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -0.5 * Z(3) + -1.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(6) + 0.0 * Z(1) + 0.0 * Z(2) + -0.5 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["0001011"]} | 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(-1.5681) q[5];
ry(-1.4449) q[0];
ry(1.4449) q[1];
cry(-1.0398) q[4], q[6];
cry(-1.0398) q[2], q[3];
ry(0.7022) q[2];
ry(0.7022) q[4];
ry(-0.4578) q[3];
cry(0.497) q[1], q[2];
ry(-0.4578) q[6];
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(-1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
8c3f924f9cf6ec78fc60ffe093bcb548 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [192, 224], "expectation_value": -4.6204130265952825, "params": [0.49970000000000003, 0.0013000000000000002, 0.5013000000000001, 0.0026000000000000003, 0.5103, -0.006, 0.27790000000000004, -0.1433, 0.051800000000000006, -0.2155, 0.1506, -0.17300000000000001, 0.1044, -0.0639, 0.29450000000000004, -0.108400000... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + -2.0 * Z(4) ... | 4 | 8 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.0, "smallest_bitstrings": ["10011101", "10011011", "00011111", "01011110", "01101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4997) q[0];
rz(0.0013) q[0];
rx(0.5013) q[1];
rz(0.0026) q[1];
rx(0.5103) q[2];
rz(-0.006) q[2];
rx(0.2779) q[3];
rz(-0.1433) q[3];
rx(0.0518) q[4];
rz(-0.2155) q[4];
rx(0.1506) q[5];
rz(-0.173) q[5];
rx(0.1044) q[6];
rz(-0.0639) q[6];
rx(0.2945) 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": []} |
598a895484db1dd124dda8633fc7a99c | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [117, 109], "expectation_value": -15.371611698815776, "params": [[-0.037200000000000004, 0.0732], [0.0669, -0.0548]], "bitstrings": ["10001010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.009301886412875621, 0.009427681019247475], "optimization_time": 3.032294511795044} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(6) @ Z(7)) + 2.0 * Z(0) + 10.0 * Z(2) + 18.0 * Z(1) + 18.0 * Z(4) + 12.5 * Z(5) + 4.5 * Z(3... | 1 | 8 | 2 | {"smallest_eigenvalues": [-61.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.0, "smallest_bitstrings": ["10010010"]} | 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[0], q[2];
rz(-0.3348) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(-0.3348) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(-0.3348) q[1];
cx q[2], q[1];
cx q[1], q[4];
rz(-0.3348) q[4];
cx q[1], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
e05275d14653e116f32640e6b82829a5 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 3, "target... | {"states": [21930, 43605], "expectation_value": -0.11243239971404394, "params": [[-0.17400000000000002], [0.1759]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 20, "probabilities": [2.373995932491063e-05, 2.373995932491066e-05], "optimization_time": 14.457261085510254} | 0.25 * (Z(0) @ Z(1)) + -0.0010802469135802468 * (Z(2) @ Z(0)) + -0.0010802469135802468 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0012345679012345679 * (Z(4) @ Z(0)) + 0.00015432098765432098 * (Z(4) @ Z(2)) + -0.0012345679012345679 * (Z(5) @ Z(1)) + 0.00015432098765432098 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.0216049382715497], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0216049382715457, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(-0.087) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0004) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0004) q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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]... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
-9113593595299461738 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[8, 3], [6, 7], [0, 9], [9, 6], [2, 6], [9, 5], [1, 7], [8, 4], [8, 5], [9, 4], [4, 6], [8, 10], [0, 7], [1, 10], [4, 7], [1, 5], [1, 2], [9, 2], [10, 4], [5, 6], [0, 1], [10, 2], [10, 7], [0, 6], [3, 6], [8, 7]]} | {"states": [523, 779], "expectation_value": -1.132547366056827, "params": [0.5595, 0.5708, 0.9863000000000001, 0.9852000000000001, 0.9016000000000001, 0.8478, 0.5687, 0.5690000000000001, 0.5433, 0.5413, 0.5639000000000001, 0.5614, 0.5237, 0.5596, 0.9483, 0.9524, 0.646, 0.6216, 0.9406, 0.9755, 0.9321, 0.9509000000000001... | 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(10) @ Z(7)) + 0.5 * (Z(10) @ Z(0)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(10)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(10)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z... | 14 | 11 | 1 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["01100001011", "10011110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.5595) q[0];
ry(0.9863) q[1];
ry(0.9016) q[2];
ry(0.5687) q[3];
ry(0.5433) q[4];
ry(0.5639) q[5];
ry(0.5237) q[6];
ry(0.9483) q[7];
ry(0.646) q[8];
ry(0.9406) q[9];
ry(0.9321) q[10];
crx(0.0003) q[10], q[0];
crx(0.727) q[9], q[10];
crx(-0.1646) q[8], q[9... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
d6ef88caa86def69cf0a93d5f7ae1334 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 4, "source": 3, "target": 1}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [32, 31], "expectation_value": -0.14616028984017782, "params": [[0.0636], [-0.0521]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.016967693390145783, 0.01715121096098047], "optimization_time": 1.771254301071167} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -1.0 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + 2.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(2) + -0.5 * Z(4) + -1.0 * Z(1) + -0.25 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000", "110000"]} | 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(-0.0318) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(-0.0318) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(-0.1272) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.0318) q[4];
cx q[2], q[4];
cx q[3], q[1];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[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[3], ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
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