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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
7785e3e7ad6fcc746d4b86c67fd57c41 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 3... | {"states": [63, 45], "expectation_value": -2.5800353360851505, "params": [[-0.0674, -0.054200000000000005, -0.0341, 0.047900000000000005], [0.0781, 0.07100000000000001, 0.0693, 0.0262]], "bitstrings": ["1000000", "1010010"], "total_optimization_steps": 10, "probabilities": [0.01775119192142895, 0.019731322733518148], "... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + 1.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 1.5 * Z(4) + 2.25 * Z(1) + -2.5 * Z(3) + -1.25 * Z(5)... | 1 | 7 | 4 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["1011010", "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[2], q[0];
rz(0.0337) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(0.1011) q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(0.0337) q[1];
cx q[2], q[1];
cx q[4], q[1];
rz(0.0337) q[1];
cx q[4], q[1];
cx q[4], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
-5158734754257538344 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 3, 5], [1, 4, 5, 7], [0, 2, 4, 5], [3, 4, 6, 7], [1, 3, 5, 6], [0, 7], [2, 4, 7], [2, 6], [0, 3, 4, 5], [0, 1, 4], [2, 3, 5, 7]]} | {"states": [15, 79], "expectation_value": -0.12104685813174652, "params": [[0.0767], [-0.0707]], "bitstrings": ["11110000", "10110000"], "total_optimization_steps": 10, "probabilities": [0.004270556337322125, 0.0042836973590122274], "optimization_time": 0.9685139656066895} | 0.08333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(7) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.8333333333333344], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8333333333333335, "smallest_bitstrings": ["10110000"]} | 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(0.0128) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0256) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.0256) q[3];
cx q[1], q[3];
cx q[2], q[5];
rz(0.0384) q[5];
cx q[2], q[5];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
0331c5ff83e33f6c47413b32d0c31ca9 | 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": 6, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 6, "source": 2, "target":... | {"states": [1024, 1023], "expectation_value": -29.56903068948716, "params": [[[0.0036000000000000003, 0.0031000000000000003], [0.0025, -0.0026000000000000003], [0.0026000000000000003, 0.0025], [0.0076, 0.0021000000000000003], [0.0122, 0.0022], [0.0015, 0.0024000000000000002], [-0.0018000000000000002, -0.0028], [-0.0019... | -1.5 * (Z(0) @ Z(7)) + -3.0 * (Z(6) @ Z(7)) + -0.75 * (Z(1) @ Z(6)) + -1.25 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @ Z(1)) + -1.5 * (Z(3) @ Z(5)) + -0.25 * (Z(8) @ Z(7)) + -1.0 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(5)) + -1.25 * (Z(8) @ Z(3)) + -3.0 * (Z(10) @ Z(6)) + -1.5 * (Z(10) @ Z(1)) + -2.0 * (Z(10) ... | 15 | 11 | 2 | {"smallest_eigenvalues": [-30.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.25, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0036) q[0];
ry(0.0025) q[1];
ry(0.0026) q[2];
ry(0.0076) q[3];
ry(0.0122) q[4];
ry(0.0015) q[5];
ry(-0.0018) q[6];
ry(-0.0019) q[7];
ry(-0.0012) q[8];
ry(-0.0002) q[9];
ry(1.7389) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
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": 10} | {"circuits": [], "gradients": []} |
3c6a0f75571e718d8fbaf4d718e39505 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [68, 71], "expectation_value": -5.999934070824497, "params": null, "bitstrings": ["0111011", "0111000"], "total_optimization_steps": 33, "probabilities": [1.3834082752150245e-05, 0.9999481814112822], "optimization_time": 35.7763454914093} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(2) + -2.0 * Z(3) + -1.0 * Z(4) + -1.0 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
ry(-1.5681) q[1];
ry(-1.5681) q[2];
ry(1.4449) q[6];
ry(1.4449) q[0];
ry(1.4449) q[5];
ry(1.4449) q[4];
cry(0.1187) q[5], q[6];
cry(0.1188) q[6], q[0];
cry(0.1188) q[0], q[4];
cry(0.1186... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
8307422020024253893 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 6], [1, 4], [1, 6], [0, 7], [1, 2], [5, 6], [2, 3], [2, 7], [2, 4], [4, 6], [0, 6], [3, 4], [1, 7], [0, 5], [2, 5], [4, 7], [0, 3], [2, 6], [0, 4]]} | {"states": [15, 240], "expectation_value": -0.08695850197054124, "params": [[-0.0441], [0.0528]], "bitstrings": ["11110000", "00001111"], "total_optimization_steps": 10, "probabilities": [0.004164723480909637, 0.004164723480909637], "optimization_time": 0.7683727741241455} | 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.5, "smallest_bitstrings": ["10100010", "11101000", "10101010", "11110000", "11100010", "11100000", "10101000", "01010111", "01010101... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[3];
rz(-0.0441) q[3];
cx q[6], q[3];
cx q[6], q[1];
rz(-0.0441) q[1];
cx q[6], q[1];
cx q[6], q[4];
rz(-0.0441) q[4];
cx q[6], q[4];
cx q[3], q[4];
rz(-0.0441) q[4];
cx q[3], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[3];
rz(x0) q[3];
cx q[6], q[3];
cx q[6], q[1];
rz(x0) q[1];
cx q[6], q[1];
cx q[6], q[4];
rz(x0) q[4];
cx q[6], q[4];
cx q[3]... | null | {"circuits": [], "gradients": []} |
e0076bba616d817cfe083e061fa47dee | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"sour... | {"states": [41, 105], "expectation_value": -6.152076814591172, "params": [0.0, -0.0013000000000000002, -0.0068000000000000005, -0.007200000000000001, 0.315, 0.3163, 0.5342, 0.541, -0.00030000000000000003, -0.0006000000000000001, 0.5289, 0.5377000000000001, -0.0221, -0.016900000000000002, 0.0015, -0.0051, 0.519, 0.5202,... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + -1.5 * Z(2) ... | 13 | 9 | 3 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["110010110", "100010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0) q[0];
ry(-0.0068) q[1];
ry(0.315) q[2];
ry(0.5342) q[3];
ry(-0.0003) q[4];
ry(0.5289) q[5];
ry(-0.0221) q[6];
ry(0.0015) q[7];
ry(0.519) q[8];
crz(-0.0052) q[8], q[0];
crz(-0.3598) q[7], q[8];
crz(-0.2771) q[6], q[7];
crz(-0.1846) q[5], q[6];
crz(-0.3788... | 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] 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 flo... | null | {"circuits": [], "gradients": []} |
cf6571d349afe9995fc7e8886ebb5b90 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "ta... | {"states": [13, 77], "expectation_value": -4.450153377771728, "params": [[[0.1593, -0.23570000000000002], [0.6, 0.0022], [-0.0061, 0.275], [0.0027, 0.33580000000000004], [0.6045, 0.0032], [0.6103000000000001, 0.0005], [0.15460000000000002, -0.23320000000000002], [0.6003000000000001, -0.0034000000000000002]], [[0.1562, ... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + -2.5 * Z(3) + -1.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(6) + ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["00111010", "10110001", "10110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.1593) q[0];
rz(-0.2357) q[0];
rx(0.6) q[1];
rz(0.0022) q[1];
rx(-0.0061) q[2];
rz(0.275) q[2];
rx(0.0027) q[3];
rz(0.3358) q[3];
rx(0.6045) q[4];
rz(0.0032) q[4];
rx(0.6103) q[5];
rz(0.0005) q[5];
rx(0.1546) q[6];
rz(-0.2332) q[6];
rx(0.6003) 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": []} |
2150338244522249270 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 2, 3], [0, 1, 2]]} | {"states": [7, 10], "expectation_value": -0.008692173860841958, "params": [[0.0575], [-0.0528]], "bitstrings": ["1000", "0101"], "total_optimization_steps": 10, "probabilities": [0.06325770019353472, 0.06325865853556371], "optimization_time": 1.1331231594085693} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.3333333333333333 * Z(2) + 0.3333333333333333 * Z(0) + 0.16666666666666666 * Z(3) + 0.16666666666666666 * Z(1) | 1 | 4 | 1 | {"smallest_eigenvalues": [-0.6666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.6666666666666666, "smallest_bitstrings": ["0101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[0];
rz(0.0383) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0192) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0192) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.0192) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.0192) q[1];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x1) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(x1) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(x1) q[1];
cx q[2], q[... | null | {"circuits": [], "gradients": []} |
01c79553cd838cd252f6e60dedff49e5 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 3, "source": 2, ... | {"states": [128, 127], "expectation_value": -1.6261731661390022, "params": [[0.07740000000000001, 0.0781], [-0.08320000000000001, -0.08080000000000001]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.009328121878471152, 0.01044049730935943], "optimization_time": 3.546516895... | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -2.0 * (Z(3) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "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];
cx q[2], q[0];
rz(-0.0387) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0774) q[1];
cx q[2], q[1];
cx q[2], q[7];
rz(-0.1161) q[7];
cx q[2], q[7];
cx q[0], q[7];
rz(0.0774) q[7];
cx q[0], q[7];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
919ebe96150ea33963e1b88a334f3105 | 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": 7}, {"capacity": 5, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 6, "source": 3, ... | {"states": [123, 127], "expectation_value": -4.227183179284812, "params": null, "bitstrings": ["10000100", "10000000"], "total_optimization_steps": 73, "probabilities": [0.3544920382352946, 0.5374424118356347], "optimization_time": 99.88011384010315} | 0.25 * (Z(0) @ Z(7)) + -1.25 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(6)) + -0.75 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -0.25 * Z(7) + -0.25 * Z(0) + -2.5 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "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(1.5708) q[3];
cry(1.5708) q[3], q[5];
cry(1.5708) q[5], q[4];
cry(1.5681) q[4], q[2];
cry(1.5706) q[5], q[1];
cry(1.4449) q[4], q[6];
cry(-1.0342) q[3], q[0];
cry(1.4138) q[5], q[7];
ry(-0.5046... | 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[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[... |
44024677ca28b32241620a387d32f127 | 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": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [254, 1], "expectation_value": -1.2655284521138888, "params": [[0.0709], [-0.0704]], "bitstrings": ["00000001", "11111110"], "total_optimization_steps": 10, "probabilities": [0.005956965061136188, 0.006203258448355137], "optimization_time": 4.483163356781006} | -1.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.0 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + -0.75 * (Z(6) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(7)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(4) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-15.5, -15.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.5, "smallest_bitstrings": ["11111110", "11110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(-0.1773) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.1064) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.1773) q[3];
cx q[0], q[3];
cx q[0], q[7];
rz(0.39) q[7];
cx q[0], q[7];
cx q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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 ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
4048877314050940391 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 9], [0, 5], [5, 7], [0, 6], [3, 5], [2, 10], [2, 7], [8, 2], [3, 7], [0, 7], [9, 3], [3, 6], [0, 4]]} | {"states": [1952, 1920], "expectation_value": -2.15072058841853, "params": [0.8051, 0.006900000000000001, 0.8035, 0.0085, 0.7994, 0.0184, 0.8023, 0.0039000000000000003, 0.8006000000000001, 0.017, 0.8028000000000001, 0.0016, 0.8088000000000001, 0.017, 0.8081, 0.009600000000000001, 0.8034, 0.0334, 0.4801, 0.0066, 0.8022,... | 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(9)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(10) @ Z(2)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.0 * Z(9) + 0.0 * Z(1) + 0.0 * Z... | 6 | 11 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["00001111111", "11110000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.8051) q[0];
rz(0.0069) q[0];
rx(0.7994) q[1];
rz(0.0184) q[1];
rx(0.8006) q[2];
rz(0.017) q[2];
rx(0.8088) q[3];
rz(0.017) q[3];
rx(0.8034) q[4];
rz(0.0334) q[4];
rx(0.8022) q[5];
rz(0.0287) q[5];
rx(0.8045) q[6];
rz(0.0263) q[6];
rx(0.7996) 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": []} |
20a60ed013bc1976376f734be7d8d92c | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 1, "target": 3}]} | {"states": [1965, 1774], "expectation_value": -0.4132921456514472, "params": [[-0.0753], [0.0727]], "bitstrings": ["100001010010", "100100010001"], "total_optimization_steps": 10, "probabilities": [0.000302229349467174, 0.0003022293494671741], "optimization_time": 4.599986553192139} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -6.0, "smallest_bitstrings": ["100100001001", "100100001010", "100100010001", "100010001001", "010010100001", "001001100100... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(-0.0753) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0753) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0753) q[2];
cx q[0], q[2];
cx q[0], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], ... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
bc9c43e07717e061a702258caa354cb1 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 7}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [463, 462], "expectation_value": -2.4956819441771296, "params": [[[0.003, 0.7363000000000001], [1.002, -0.0011], [1.0083, 0.003], [0.9992000000000001, 0.0015], [0.3598, 0.33380000000000004], [0.0026000000000000003, 0.7488], [1.0055, -0.0026000000000000003], [0.9956, -0.001], [0.9999, -0.0007], [0.7582, 0.125... | 0.5 * (Z(1) @ Z(0)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(7) @ Z(2)) + 0.125 * (Z(6) @ Z(5)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(6) @ Z(5) @ Z(2)) + -0.125 * (Z(5) @ Z(7) ... | 1 | 10 | 2 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1000110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.003) q[0];
rz(0.7363) q[0];
rx(1.002) q[1];
rz(-0.0011) q[1];
rx(1.0083) q[2];
rz(0.003) q[2];
rx(0.9992) q[3];
rz(0.0015) q[3];
rx(0.3598) q[4];
rz(0.3338) q[4];
rx(0.0026) q[5];
rz(0.7488) q[5];
rx(1.0055) q[6];
rz(-0.0026) q[6];
rx(0.9956) 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": []} |
9150261739473617696 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 5, 6, 7, 8], [0, 1], [9, 3], [0, 4], [9, 10]]} | {"states": [1021, 1017], "expectation_value": -2.1561747627226024, "params": [0.1872, -0.0029000000000000002, 1.6158000000000001, -0.0022, 2.0143, -0.002, 2.1539, -0.0022, 2.4069000000000003, -0.0021000000000000003, 2.7582, -0.0031000000000000003, 2.7965, -0.0031000000000000003, 2.8019000000000003, -0.4984, 1.7049, -0.... | 0.03333333333333333 * (Z(0) @ Z(2)) + 0.03333333333333333 * (Z(5) @ Z(2)) + 0.03333333333333333 * (Z(5) @ Z(0)) + 0.03333333333333333 * (Z(6) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(0)) + 0.03333333333333333 * (Z(6) @ Z(5)) + 0.03333333333333333 * (Z(7) @ Z(2)) + 0.03333333333333333 * (Z(7) @ Z(0)) + 0.03333333333333... | 4 | 11 | 1 | {"smallest_eigenvalues": [-2.2000000000000006, -2.2000000000000006, -2.2000000000000006, -2.2000000000000006, -2.2000000000000006, -2.2000000000000006, -2.2000000000000006, -2.2000000000000006, -2.2000000000000006, -2.2000000000000006], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.2, "smallest_bitst... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.1872) q[0];
rz(-0.0029) q[0];
rx(1.6158) q[1];
rz(-0.0022) q[1];
rx(2.0143) q[2];
rz(-0.002) q[2];
rx(2.1539) q[3];
rz(-0.0022) q[3];
rx(2.4069) q[4];
rz(-0.0021) q[4];
rx(2.7582) q[5];
rz(-0.0031) q[5];
rx(2.7965) q[6];
rz(-0.0031) q[6];
rx(2.8019) 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": []} |
1999562742756202320 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3], [2, 7], [2, 6], [2, 4], [3, 5], [0, 1]]} | {"states": [155, 91], "expectation_value": -2.6667405773184556, "params": null, "bitstrings": ["01100100", "10100100"], "total_optimization_steps": 58, "probabilities": [0.05313913467002401, 0.7590358309108824], "optimization_time": 61.56257772445679} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(7) + 0.0 * Z(6) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(0) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["10011011", "01100100", "10100100", "01011011"]} | 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(-1.0342) q[7], q[2];
cry(-1.0342) q[1], q[0];
cry(-1.0342) q[3], q[5];
ry(1.0293) q[3];
ry(-0.6992) q[5];
cry(-0.6534) q[6], q[2];
ry(0.9979) q[7];
cry(1.1473) q[7], q[6];
ry(-0.5076) q[2];
cr... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[7], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
b305367bc2e2ddaa066fe8b84210618a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [146, 154], "expectation_value": -3.1524614556559474, "params": [[[0.6418, 0.0033, 0.0061, 0.0074], [0.0051, -0.0041, -0.0013000000000000002, 0.007200000000000001], [-0.004200000000000001, 0.3614, 0.0016, 0.3634], [0.37970000000000004, 0.013300000000000001, 0.38530000000000003, 0.009000000000000001], [0.1711... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(6) @ Z(0)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + ... | 12 | 8 | 4 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.625, "smallest_bitstrings": ["01100101", "01100110", "10100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.6418) q[0];
rz(0.0033) q[0];
ry(0.0051) q[1];
rz(-0.0041) q[1];
ry(-0.0042) q[2];
rz(0.3614) q[2];
ry(0.3797) q[3];
rz(0.0133) q[3];
ry(0.1711) q[4];
rz(-0.1178) q[4];
ry(-0.0023) q[5];
rz(0.4599) q[5];
ry(0.6919) q[6];
rz(-0.0004) q[6];
ry(0.419) 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": []} |
fc7b19754949f0e05a27875fb69f344a | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}]} | {"states": [29, 31], "expectation_value": -10.45157148467507, "params": [[-0.0472], [0.27390000000000003]], "bitstrings": ["11100010", "11100000"], "total_optimization_steps": 30, "probabilities": [0.008698858299759013, 0.008994668197307472], "optimization_time": 3.8250937461853027} | 2.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 3.0 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -3.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.125 * (Z(2) @ Z(0)) + 9.0 * Z(4) + 4.5 * Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-22.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.125, "smallest_bitstrings": ["11100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[3];
rz(-0.1888) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(-0.5664) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(-0.2832) q[5];
cx q[3], q[5];
cx q[4], q[6];
rz(0.0944) q[6];
cx q[4], q[6];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": 3} | {"circuits": [], "gradients": []} |
2b0dcb8de0fd53b65168d5ba3893205a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 6, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 6, "source": 0, "target": 9}, {"capac... | {"states": [509, 501], "expectation_value": -23.374322312985967, "params": [[[-0.17850000000000002, 0.029500000000000002], [0.0024000000000000002, -0.0492], [0.003, -0.0036000000000000003], [0.0013000000000000002, -0.0033], [-0.0002, 0.0032], [0.0023, 0.0036000000000000003], [0.5911000000000001, 0.0017000000000000001],... | -1.5 * (Z(0) @ Z(6)) + -0.5 * (Z(8) @ Z(6)) + -0.75 * (Z(8) @ Z(0)) + 2.5 * (Z(9) @ Z(0)) + -0.25 * (Z(1) @ Z(8)) + -1.5 * (Z(1) @ Z(9)) + -1.0 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(8)) + -1.5 * (Z(4) @ Z(2))... | 15 | 10 | 4 | {"smallest_eigenvalues": [-24.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.25, "smallest_bitstrings": ["1000001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.1785) q[0];
ry(0.0024) q[1];
ry(0.003) q[2];
ry(0.0013) q[3];
ry(-0.0002) q[4];
ry(0.0023) q[5];
ry(0.5911) q[6];
ry(-0.0005) q[7];
ry(0.4774) q[8];
ry(-0.1144) 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[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
406f205c8f68e15d44cfdbce281f4c7d | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 4, "target": 3}]} | {"states": [41, 7], "expectation_value": -1.5166512072452047, "params": [[0.0658], [-0.0645]], "bitstrings": ["010110", "111000"], "total_optimization_steps": 10, "probabilities": [0.019359398787519147, 0.019634012647604095], "optimization_time": 2.0501973628997803} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * ... | 16 | 6 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | 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(0.2303) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2303) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2303) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.2303) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.2632... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0... | {"k": 3} | {"circuits": [], "gradients": []} |
-4344597050481672989 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 6], [0, 2, 5], [2, 6], [0, 1, 3], [0, 4, 5, 7], [8, 2, 4], [0, 2, 7], [8, 1], [0, 8, 7], [2, 3, 4, 5]]} | {"states": [337, 369], "expectation_value": -2.0088275179530792, "params": [1.0897000000000001, -0.0407, 1.0827, 0.0055000000000000005, 0.9916, 0.0413, 0.6913, 0.0057, 1.0981, -0.0455, 1.0933000000000002, 0.0088, 1.1007, -0.0313, 1.0384, 0.009000000000000001, 1.1007, -0.0599, 1.0976000000000001, 0.0025, 1.0895000000000... | 0.5 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.25 * (Z(2) @ Z(4)) + 0.3333333333333333 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(4)) + 0.1666666666666666... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.1666666666666665, "smallest_bitstrings": ["010001110", "000101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.0897) q[0];
rz(-0.0407) q[0];
rx(0.9916) q[1];
rz(0.0413) q[1];
rx(1.0981) q[2];
rz(-0.0455) q[2];
rx(1.1007) q[3];
rz(-0.0313) q[3];
rx(1.1007) q[4];
rz(-0.0599) q[4];
rx(1.0895) q[5];
rz(0.2006) q[5];
rx(1.0902) q[6];
rz(-0.0478) q[6];
rx(1.0983) 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": []} |
9645644fcb46d75a104e4de81b9201a7 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [3, 1], "expectation_value": -0.17792363194466035, "params": [[-0.0262, -0.050800000000000005, -0.0194, 0.0548], [-0.012700000000000001, 0.058300000000000005, 0.0412, -0.016]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.009397302838282722, 0.009638114886939749],... | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(6) + 1.0 * Z(3) + -0.75 * Z(1) + -0.75 * Z(4) + 0.5 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.25, "smallest_bitstrings": ["1111110", "1111100", "1010100"]} | 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(0.0131) q[0];
cx q[2], q[0];
cx q[0], q[6];
rz(-0.0262) q[6];
cx q[0], q[6];
cx q[2], q[3];
rz(0.0262) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(0.0393) q[1];
cx q[3], q[1];
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": []} |
9c58c5b77a3170e613a26f379fffeef6 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [25, 49], "expectation_value": -2.8529169969809267, "params": [[0.19640000000000002, 0.30210000000000004, 0.40900000000000003, 0.4471], [-0.41340000000000005, -0.23270000000000002, -0.1179, -0.1545]], "bitstrings": ["100110", "001110"], "total_optimization_steps": 50, "probabilities": [0.1261348053046584, 0.... | 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(1) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + 0.0 * Z(1) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001110", "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[2], q[0];
rz(0.1964) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.1964) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.1964) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(0.1964) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.1964... | OPENQASM 3.0;
include "stdgates.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": []} |
d0689a6dbeb7a066dbec17f8f325db83 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [3, 1], "expectation_value": -7.749999979146519, "params": null, "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 16, "probabilities": [0.24999999791686373, 0.24999999791686373], "optimization_time": 9.32626461982727} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(6) + -1.0 * Z(1) + 1.0 * Z(4) + 0.75 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.75, "smallest_bitstrings": ["1111110", "1111100", "1111010", "1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5708) q[6];
ry(-1.5708) q[0];
ry(-1.5708) q[2];
ry(-1.5708) q[3];
cry(-1.5706) q[6], q[1];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3];
c[4] = measure q[4];
c[5... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
0ae9b6f2b61290137ab22e2dafb0c164 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [93, 89], "expectation_value": -0.2796856212012131, "params": [0.9005000000000001, 0.2003, 0.4585, 0.2513, 0.9011, 0.0868, 0.9008, -0.10990000000000001, 0.6954, -0.09390000000000001, 0.466, 0.224, 0.9069, 0.085, 0.9053, 0.0047, 0.4656, 0.005200000000000001, 0.9031, 0.007200000000000001, 0.9018, 0.0054, 0.694... | 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(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) ... | 18 | 7 | 2 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -1.0, "smallest_bitstrings": ["1000011", "0111000", "1010010", "0101100", "0101001", "0010110", "1100001", "0100110", "0100101", "1000110", "0011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.9005) q[0];
rz(0.2003) q[0];
rx(0.4585) q[1];
rz(0.2513) q[1];
rx(0.9011) q[2];
rz(0.0868) q[2];
rx(0.9008) q[3];
rz(-0.1099) q[3];
rx(0.6954) q[4];
rz(-0.0939) q[4];
rx(0.466) q[5];
rz(0.224) q[5];
rx(0.9069) q[6];
rz(0.085) q[6];
crz(0.006) q[6], q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
69144809aea48cb46eae9c3950f24a15 | 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": 0, "target": 3}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [90, 165], "expectation_value": -0.18343608115765778, "params": [[-0.37110000000000004], [0.3652]], "bitstrings": ["10100101", "01011010"], "total_optimization_steps": 40, "probabilities": [0.007731574460579411, 0.00773157446057942], "optimization_time": 3.04431414604187} | 0.25 * (Z(0) @ Z(1)) + -0.0027777777777777783 * (Z(2) @ Z(0)) + -0.0027777777777777783 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.001388888888888889 * (Z(4) @ Z(0)) + 0.0006944444444444445 * (Z(4) @ Z(2)) + 0.001388888888888889 * (Z(5) @ Z(1)) + 0.0006944444444444445 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00138888... | 5 | 8 | 1 | {"smallest_eigenvalues": [-1.015277777777778], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0152777777777775, "smallest_bitstrings": ["01011010"]} | 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(-0.1856) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0021) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0021) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-0.1856) 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;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2]... | {"communities_size": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
fa1aa02644db6485d126884facd8fbe5 | 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": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 5}]} | {"states": [53, 60], "expectation_value": -3.4991049533046077, "params": null, "bitstrings": ["1001010", "1000011"], "total_optimization_steps": 32, "probabilities": [0.06552859483792234, 0.9338463438639887], "optimization_time": 25.36741042137146} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(3) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011010", "1001010", "1000011"]} | 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[0];
ry(-1.4449) q[5];
ry(1.4449) q[2];
ry(1.4417) q[4];
ry(1.4417) q[1];
cry(-1.0342) q[3], q[6];
ry(0.7003) q[3];
cry(-0.1259) q[4], q[5];
ry(-0.4549) q[6];
cry(0.4963) q[2], q[3];
cry(-0.3... | 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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
1460171b1151e111ffeed247111df54b | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3... | {"states": [8178, 4082], "expectation_value": -11.630266765987422, "params": [[[0.0025, 0.0018000000000000002], [-0.0018000000000000002, 0.0023], [-1.562, 1.2116], [-0.0011, 1.9338000000000002], [0.5704, 0.09960000000000001], [-0.0057, 0.23500000000000001], [-0.0022, -0.003], [0.281, 0.0017000000000000001], [-0.0021000... | 0.5 * (Z(4) @ Z(6)) + 1.0 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 1.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + -0.5 * (Z(8) @ Z(5)) + -0.5 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(7)) + -0.5 * (Z(9) @ Z(8)) + -1.0 * (Z(10) @ Z(6)) + -1.0 ... | 15 | 15 | 1 | {"smallest_eigenvalues": [-14.24999999999991], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.49999999999994, "smallest_bitstrings": ["111000000001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
ry(0.0025) q[0];
ry(-0.0018) q[1];
ry(-1.562) q[2];
ry(-0.0011) q[3];
ry(0.5704) q[4];
ry(-0.0057) q[5];
ry(-0.0022) q[6];
ry(0.281) q[7];
ry(-0.0021) q[8];
ry(1.3143) q[9];
ry(0.0006) q[10];
ry(2.2998) q[11];
ry(2.3098) q[12];
ry(-0.0027) q[13];
ry(-0.0024)... | OPENQASM 3.0;
include "stdgates.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": []} |
082b6c86bc8d553008a81e548bf0a65e | 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": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [35, 3], "expectation_value": -11.525091798537497, "params": null, "bitstrings": ["111011100", "111111100"], "total_optimization_steps": 60, "probabilities": [0.16576969212998327, 0.5270153725643867], "optimization_time": 97.5600049495697} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + -1.25 * (Z(7) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(7)) + -1.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -1.5 * (Z(3) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(3)) + 2.25 * (Z(8) @ Z(0)) + -1.75 * (Z(8... | 1 | 9 | 1 | {"smallest_eigenvalues": [-13.5, -13.5, -13.5, -13.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -12.5, "smallest_bitstrings": ["111111100", "111001000", "111000000", "111011100"]} | 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(-1.57) q[2];
ry(-1.5708) q[5];
cry(-1.5708) q[8], q[0];
ry(1.004) q[8];
ry(-1.5708) q[6];
ry(-0.4686) q[0];
cry(1.5681) q[8], q[7];
cry(0.2919) q[7], q[8];
ry(-1.5558) q[1];
ry(-1.5059)... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.57) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
948e73d26580d7c0cc9a877617a692aa | 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": 7, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 5}, {"capacity": 3, "source": 1, "target": 7}, {"capac... | {"states": [1022, 43], "expectation_value": -8.346978672044656, "params": [[-0.1578], [0.2767]], "bitstrings": ["0000000001", "1111010100"], "total_optimization_steps": 30, "probabilities": [0.010931915859331242, 0.011523296479022387], "optimization_time": 3.355919599533081} | -1.75 * (Z(0) @ Z(2)) + -1.25 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(1)) + -1.5 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -1.0 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -1.75 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(7)) + 2.0 * (Z(9) @ Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["1111010100"]} | 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(0.5523) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.3945) q[1];
cx q[2], q[1];
cx q[2], q[5];
rz(0.1578) q[5];
cx q[2], q[5];
cx q[1], q[5];
rz(0.3945) q[5];
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] 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": []} |
-6097584728090683732 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 4, 7], [0, 5, 6, 7], [2, 3, 6], [0, 3, 6, 7], [0, 4, 6], [1, 3, 4], [0, 3, 5], [2, 4, 5, 6, 7], [0, 1, 2, 5, 7], [1, 3, 6, 7], [0, 1, 2, 4]]} | {"states": [61, 185], "expectation_value": -1.2544488646544631, "params": [[-0.2589], [0.2715]], "bitstrings": ["11000010", "01000110"], "total_optimization_steps": 30, "probabilities": [0.008398048932085778, 0.00862569672007886], "optimization_time": 3.7480010986328125} | 0.3333333333333333 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.25 * (Z(7) @ Z(3)) + 0.3 * (Z(7) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.3 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(4)) + 0.18333333333333335 * (Z(5) @ Z(7)) + 0.3333333333333333 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5666666666666673], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.366666666666667, "smallest_bitstrings": ["01000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(-0.1726) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.1295) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.1726) q[4];
cx q[0], q[4];
cx q[3], q[7];
rz(-0.1295) q[7];
cx q[3], q[7];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
5fc8ddd9b490928efab5d46a7fda09a4 | 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": 7, "source": 0, "t... | {"states": [206, 110], "expectation_value": -6.30593437748649, "params": [[-0.048], [0.0579]], "bitstrings": ["00110001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.006788184224978642, 0.007102066282959483], "optimization_time": 1.6424248218536377} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 3.5 * Z(0) + 6.0 * Z(2) + 18.0 * Z(1) + 8.0 * Z(3) + 5.5 * Z(5) + 18.0 * Z(4) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-59.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[2];
rz(-0.432) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(-0.432) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(-0.432) q[1];
cx q[2], q[1];
cx q[3], q[5];
rz(-0.432) q[5];
cx q[3], q[5];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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(x0) q[2];
cx q[0], q[2];
cx q[0], q[1]... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
e31edb553f2e64f64efab3179577ba75 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "targ... | {"states": [16383, 16319], "expectation_value": -44.52134903778227, "params": [[[-0.0021000000000000003, 3.1435], [-0.003, -0.0027], [-0.0035, -0.003], [-0.0031000000000000003, -0.0031000000000000003], [-0.0031000000000000003, -0.0031000000000000003], [-0.0032, -0.003], [-0.0028, -0.003], [1.6156000000000001, -0.002], ... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + -2.5 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(4)) + 1.0 * (Z(8) @ Z(5)) + -3.0 * (Z(8) @ Z(4)) + -2.5 * (Z(8) @ Z(6)) + 1.0 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -2.... | 15 | 14 | 1 | {"smallest_eigenvalues": [-45.00000000000016], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.9999999999999, "smallest_bitstrings": ["00000001000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
ry(-0.0021) q[0];
ry(-0.003) q[1];
ry(-0.0035) q[2];
ry(-0.0031) q[3];
ry(-0.0031) q[4];
ry(-0.0032) q[5];
ry(-0.0028) q[6];
ry(1.6156) q[7];
ry(-0.0026) q[8];
ry(-0.0027) q[9];
ry(-0.0028) q[10];
ry(0.0022) q[11];
ry(-0.0029) q[12];
ry(-0.0021) q[13];
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] 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... | {"node": 7} | {"circuits": [], "gradients": []} |
280c299f20e1315abf7588da0d0c677b | 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": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, ... | {"states": [862, 854], "expectation_value": -1.8422325848067276, "params": [[[0.3488, -0.037200000000000004, 0.007, 0.0013000000000000002], [0.5034000000000001, 0.024300000000000002, 0.2778, -0.1272], [0.3063, -0.2121, -0.1648, 0.2859], [-0.0061, 0.2533, 0.2611, 0.3799], [0.6721, -0.5086, 0.3085, -0.046200000000000005]... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 11 | 10 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.375, "smallest_bitstrings": ["0010110010", "0010101001", "0010011100", "0011100010", "0110010100", "0010100011", "0110100001", "1010001001",... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.3488) q[0];
rz(-0.0372) q[0];
ry(0.5034) q[1];
rz(0.0243) q[1];
ry(0.3063) q[2];
rz(-0.2121) q[2];
ry(-0.0061) q[3];
rz(0.2533) q[3];
ry(0.6721) q[4];
rz(-0.5086) q[4];
ry(-0.0059) q[5];
rz(0.5532) q[5];
ry(0.2233) q[6];
rz(-0.572) q[6];
ry(0.573) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
6095b23b75fd9eae315d3d3f5f3f5277 | 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": [1097, 1099], "expectation_value": -120.8492751740351, "params": [[-0.0022, 0.7841, 0.0022, 0.0011, 0.0826, 0.8869, -0.002, -0.0027, 0.7827000000000001, 0.028200000000000003, 0.2777, 0.5307000000000001], [-0.002, 0.7837000000000001, 0.0024000000000000002, -0.0055000000000000005, 0.0941, 0.8919, 0.05, -0.0026... | 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(3) @ Z(1)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(8) @ Z(6)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(10) @ Z(5)) + 8.0 * (Z(10) @ Z(4)) + 8.0 * (Z(11) @ Z(9)) + 8.0 * (Z(11) @ Z(10)) + 6.0 * Z(1) + -6.5 * Z(2) + -7.0 * Z(3) + 14.5 * Z(5) + 4.5 * Z(4) + 2.0 * Z(6) + 9.5 * Z(8) + 2... | 10 | 12 | 3 | {"smallest_eigenvalues": [-129.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -124.5, "smallest_bitstrings": ["101110110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0022) q[0];
ry(0.7841) q[1];
ry(0.0022) q[2];
ry(0.0011) q[3];
ry(0.0826) q[4];
ry(0.8869) q[5];
ry(-0.002) q[6];
ry(-0.0027) q[7];
ry(0.7827) q[8];
ry(0.0282) q[9];
ry(0.2777) q[10];
ry(0.5307) q[11];
cz q[11], q[10];
cz q[10], q[9];
cz q[9], q[8];
cz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
5116664952974433940 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 10, 4, 6], [0, 2, 4, 6, 7, 9, 10], [1, 3, 6], [0, 1, 3, 7, 8], [1, 4, 5, 7, 9], [8, 9], [8, 4, 7], [4, 5, 6], [3, 10, 2, 6], [10, 5, 7]]} | {"states": [1893, 2021], "expectation_value": -2.2203668827998126, "params": [[[3.1617, 0.0014], [3.1601000000000004, 0.0045000000000000005], [3.1595, 0.0013000000000000002], [1.6427, 0.0025], [3.1003000000000003, 0.0058000000000000005], [3.1473, 0.0064], [1.0756000000000001, 0.001], [1.1640000000000001, 0.0051], [3.16... | 0.08333333333333333 * (Z(1) @ Z(10)) + 0.10714285714285714 * (Z(4) @ Z(10)) + 0.13333333333333333 * (Z(4) @ Z(1)) + 0.19047619047619047 * (Z(6) @ Z(10)) + 0.25 * (Z(6) @ Z(1)) + 0.2738095238095238 * (Z(6) @ Z(4)) + 0.023809523809523808 * (Z(0) @ Z(10)) + 0.05 * (Z(0) @ Z(1)) + 0.023809523809523808 * (Z(0) @ Z(4)) + 0.0... | 1 | 11 | 1 | {"smallest_eigenvalues": [-2.8761904761904766], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.876190476190475, "smallest_bitstrings": ["00000011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(3.1617) q[0];
rz(0.0014) q[0];
rx(3.1601) q[1];
rz(0.0045) q[1];
rx(3.1595) q[2];
rz(0.0013) q[2];
rx(1.6427) q[3];
rz(0.0025) q[3];
rx(3.1003) q[4];
rz(0.0058) q[4];
rx(3.1473) q[5];
rz(0.0064) q[5];
rx(1.0756) q[6];
rz(0.001) q[6];
rx(1.164) 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": []} |
50ae2479d5601754158b9fc59193bb01 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 2}, {"weight": 20, "source": 1, "target": 3}, {"weight": 17, "source": 1, "target": 5}, {... | {"states": [118, 117], "expectation_value": -5.109834325516217, "params": [[0.042], [-0.034]], "bitstrings": ["10001001", "10001010"], "total_optimization_steps": 10, "probabilities": [0.0053426018863933274, 0.005622973910123897], "optimization_time": 2.981471061706543} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 17.5 * Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["10001010"]} | 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(0.336) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.336) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.336) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.336) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
13874d303f9642d1d6fc7d8a884ec296 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [95, 93], "expectation_value": -66.06907883636126, "params": [0.1368, 0.5404, 0.9975, 0.184, 0.1463, 0.5954, 0.9987, -0.008, 0.9945, 0.0, 0.9952000000000001, 0.06420000000000001, 0.5127, 0.1111, 0.9913000000000001, 0.1216, 0.1378, 0.5379, 0.9911000000000001, 0.2536, 0.1361, 0.5519000000000001, 0.9926, 0.0124... | 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(4) @ Z(0)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 0.5 * Z(0) + 7.5 * Z(1) + 7.0 * Z(3) + 0.5 * Z(2) + 19.0 * Z(4) + 19.5 * Z(5) ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.1368) q[0];
rz(0.5404) q[0];
rx(0.9975) q[1];
rz(0.184) q[1];
rx(0.1463) q[2];
rz(0.5954) q[2];
rx(0.9987) q[3];
rz(-0.008) q[3];
rx(0.9945) q[4];
rz(0) q[4];
rx(0.9952) q[5];
rz(0.0642) q[5];
rx(0.5127) q[6];
rz(0.1111) q[6];
rx(0.9913) q[7];
rz(0.1216) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
0383062743a6032431a10ba112efca08 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capaci... | {"states": [480, 8672], "expectation_value": -25.936788847306943, "params": [0.0026000000000000003, -1.1645, 0.0026000000000000003, 1.5285, -0.8647, 0.0028, -0.007200000000000001, -0.0007, -0.0029000000000000002, 1.4766000000000001, -0.0028, 1.3484, 0.0029000000000000002, 1.2693, 1.5706, 0.0025, 1.5717, 0.0026000000000... | 0.5 * (Z(0) @ Z(13)) + 1.0 * (Z(14) @ Z(13)) + 0.5 * (Z(14) @ Z(0)) + 1.0 * (Z(1) @ Z(13)) + 0.75 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(14)) + -0.5 * (Z(3) @ Z(13)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(14)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(13)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(14)) + -1.0 * (Z(4) @ Z... | 18 | 16 | 2 | {"smallest_eigenvalues": [-26.24999999999991], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.249999999999734, "smallest_bitstrings": ["1101111000011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(0.0026) q[0];
rz(-1.1645) q[0];
rx(0.0026) q[1];
rz(1.5285) q[1];
rx(-0.8647) q[2];
rz(0.0028) q[2];
rx(-0.0072) q[3];
rz(-0.0007) q[3];
rx(-0.0029) q[4];
rz(1.4766) q[4];
rx(-0.0028) q[5];
rz(1.3484) q[5];
rx(0.0029) q[6];
rz(1.2693) q[6];
rx(1.5706) 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": 5} | {"circuits": [], "gradients": []} |
6e14ca9588bf45c615e1efe2adcd0df8 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 4, "target": 5},... | {"states": [2014, 2047], "expectation_value": -17.45580485390173, "params": null, "bitstrings": ["00000100001", "00000000000"], "total_optimization_steps": 100, "probabilities": [0.1392258205439714, 0.29093108327525535], "optimization_time": 302.2064690589905} | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + 1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -3.0 * (Z(7) @ Z(4)) + -2.5 * (Z(9) @ Z(5)) + -3.0 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(7)) + -3.5 * (Z(10) @ Z(5)) + -3.5 * (Z(10) @ Z(4)) + -2.5 * (Z(10) @ Z(7)) + ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.0, "smallest_bitstrings": ["00000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cry(1.5708) q[5], q[10];
cry(1.5708) q[4], q[7];
cry(1.5634) q[10], q[8];
cry(1.5708) q[4], q[9];
cry(0.8758) q[9], q[4];
cry(-0.3093) q[8], q[7];
cry(0.3247) q[10], q[7... | null | {"node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[5], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc... |
1a5bb4c1f24db958a05d57d3d52dd9db | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 7}, {"sour... | {"states": [148, 180], "expectation_value": -6.073675662947084, "params": [[0.004200000000000001, 1.0511000000000001, 0.00030000000000000003, 0.7217, 1.2014, -0.018600000000000002, 1.0514000000000001, -0.0037, 0.0005], [0.0006000000000000001, 1.0492000000000001, -0.0012000000000000001, -0.5223, 0.9165000000000001, -0.0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(5)) + -2.0 * Z(2) ... | 10 | 9 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["011110100", "101001011", "110001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0042) q[0];
ry(1.0511) q[1];
ry(0.0003) q[2];
ry(0.7217) q[3];
ry(1.2014) q[4];
ry(-0.0186) q[5];
ry(1.0514) q[6];
ry(-0.0037) q[7];
ry(0.0005) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
... | OPENQASM 3.0;
include "stdgates.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": []} |
e4d024b1ac0c063adb5f497e44a53780 | 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": 6}, {"source": 1, "target": 6}, {"source": 1, "target": 8}, {"source": 2, "target": 4}, {"source": 2, "target": 7}, {"sour... | {"states": [424, 440], "expectation_value": -4.434504394970416, "params": [[0.7148, 0.5091, -0.1216, 1.0878, -0.2326, 1.099, 0.0023, -0.0082, 0.004], [1.1035000000000001, 1.1035000000000001, 0.47190000000000004, 1.0911, 0.56, 1.0961, 0.0033, -0.0054, -0.0039000000000000003], [-0.047400000000000005, -0.0618, 0.068600000... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(5) @ Z(8)) + -0.5 * Z(6) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(8) + -1.0 * Z(2) + -0.5 * Z(4) + -1.0 * Z(7) + 0.0 * Z(3) + 0.0 * Z(5) | 10 | 9 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["000010111", "001000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.7148) q[0];
ry(0.5091) q[1];
ry(-0.1216) q[2];
ry(1.0878) q[3];
ry(-0.2326) q[4];
ry(1.099) q[5];
ry(0.0023) q[6];
ry(-0.0082) q[7];
ry(0.004) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
2e4c876ef2228aa0ff1deda119489c6f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target":... | {"states": [593, 721], "expectation_value": -3.9474095512676914, "params": [0.9091, 0.9011, 0.012400000000000001, -0.0051, 0.8716, 0.7757000000000001, 0.9033, 0.9077000000000001, 0.19740000000000002, 0.1259, 0.9095000000000001, 0.9118, 0.2041, 0.185, 0.45570000000000005, 0.41490000000000005, 0.0955, 0.0935, 0.900400000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(9) @ Z(4)) + -2.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(7) + -0.5 * Z(3) + ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["0100111100", "0100101110", "1100101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.9091) q[0];
ry(0.0124) q[1];
ry(0.8716) q[2];
ry(0.9033) q[3];
ry(0.1974) q[4];
ry(0.9095) q[5];
ry(0.2041) q[6];
ry(0.4557) q[7];
ry(0.0955) q[8];
ry(0.9004) q[9];
crx(0.8847) q[9], q[0];
crx(0.5301) q[8], q[9];
crx(-0.7038) q[7], q[8];
crx(0.4166) 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": []} |
7f4c1e2c9bad0a6e0605fae9471bc9cf | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [1014, 1022], "expectation_value": -2.1664335822475356, "params": [0.0021000000000000003, 0.003, 0.6058, 0.6144000000000001, 0.6037, 0.6051000000000001, 1.2049, 1.204, 1.2047, 1.2038, 1.0045, 1.0071, 1.1965000000000001, 1.1965000000000001, 0.995, 0.9939, 1.1981000000000002, 1.2058, 0.8483, 0.8464, 1.2087, 1.... | 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(5) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(5) @ Z(3)) + 0.0625 * (Z(5) @ Z(4)) + -0.0625 * (Z(1) @ Z(2) @ Z(3)) + -0.0625 * (Z(1) @ Z(2) @ Z(4)) + -0.0... | 13 | 13 | 1 | {"smallest_eigenvalues": [-4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -3.40625, "smallest_bitstrings": ["1110000000001", "1000011001000", "1000010101000", "1000010110000", "10100001... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.0021) q[0];
ry(0.6058) q[1];
ry(0.6037) q[2];
ry(1.2049) q[3];
ry(1.2047) q[4];
ry(1.0045) q[5];
ry(1.1965) q[6];
ry(0.995) q[7];
ry(1.1981) q[8];
ry(0.8483) q[9];
ry(1.2087) q[10];
ry(1.2049) q[11];
ry(0.5991) q[12];
crz(0.3387) q[12], q[0];
crz(-0.294... | OPENQASM 3.0;
include "stdgates.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": []} |
78fa1de4f4a21ed4fe88b300377e8f4a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [169, 173], "expectation_value": -2.902158305833192, "params": [[[0.0024000000000000002, 0.7492000000000001, 0.0079, 0.009300000000000001], [0.2662, -0.021400000000000002, 0.2647, 0.0032], [-0.0028, -0.31470000000000004, 0.007200000000000001, -0.3151], [0.2599, -0.0049, 0.2637, 0.0061], [0.001300000000000000... | 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(1... | 12 | 9 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["101010010", "100011010", "100011001", "110001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0024) q[0];
rz(0.7492) q[0];
ry(0.2662) q[1];
rz(-0.0214) q[1];
ry(-0.0028) q[2];
rz(-0.3147) q[2];
ry(0.2599) q[3];
rz(-0.0049) q[3];
ry(0.0013) q[4];
rz(-0.1855) q[4];
ry(0.4975) q[5];
rz(0.0058) q[5];
ry(-0.2737) q[6];
rz(-0.0064) q[6];
ry(0.0226) 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": []} |
dd4e0e0ec30da59fe4cbaef1907f5a6f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": ... | {"states": [4095, 2047], "expectation_value": -14.303762235768826, "params": [[[0.0033, -0.0323], [-0.0038, -0.003], [-0.005, -0.0023], [0.0, -0.0028], [-0.0034000000000000002, -0.003], [0.0019, -0.0028], [0.0043, -0.003], [-0.0033, -0.003], [0.0047, -0.0029000000000000002], [0.0012000000000000001, -0.003], [-0.0038, 0... | -0.75 * (Z(0) @ Z(5)) + -0.25 * (Z(8) @ Z(5)) + -0.25 * (Z(8) @ Z(0)) + -0.5 * (Z(9) @ Z(0)) + -0.75 * (Z(9) @ Z(8)) + -0.25 * (Z(1) @ Z(8)) + -0.25 * (Z(11) @ Z(5)) + -0.5 * (Z(11) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(8)) + -0.75 * (Z... | 15 | 12 | 2 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0033) q[0];
ry(-0.0038) q[1];
ry(-0.005) q[2];
ry(0) q[3];
ry(-0.0034) q[4];
ry(0.0019) q[5];
ry(0.0043) q[6];
ry(-0.0033) q[7];
ry(0.0047) q[8];
ry(0.0012) q[9];
ry(-0.0038) q[10];
ry(1.6674) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
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": 11} | {"circuits": [], "gradients": []} |
3107297605987101856 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 5], [0, 3], [2, 3], [0, 7], [8, 1], [5, 7], [0, 5], [2, 7], [5, 6], [1, 4], [1, 5]]} | {"states": [166, 167], "expectation_value": -3.1890862468116046, "params": null, "bitstrings": ["101011001", "101011000"], "total_optimization_steps": 81, "probabilities": [0.12363368929688183, 0.5892254709103061], "optimization_time": 151.85011911392212} | 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(5) + 0.0 * Z(8) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(7) + ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.5, "smallest_bitstrings": ["000111010", "101011001", "111001000", "111000100", "101010101", "000110111", "111000101", "010101010", "101011000", "010100111",... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(-1.0342) q[8], q[5];
cry(-1.0342) q[7], q[2];
ry(1.0293) q[7];
cry(-0.8214) q[3], q[2];
cry(1.1655) q[7], q[3];
cry(-1.5128) q[3], q[0];
cry(0.3782) q[3], q[7];
ry(-0.4112) q[2];
cry(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[8], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... |
87224c590a6c623e4385c63f6a5a56ea | connected_components | 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": 2, "target": 3}, {"source": 4, "target": 5}]} | {"states": [31, 27], "expectation_value": -0.11269607459956552, "params": [[0.0747], [-0.0731]], "bitstrings": ["00000", "00100"], "total_optimization_steps": 10, "probabilities": [0.03501837869380971, 0.0357878599813178], "optimization_time": 0.5750501155853271} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + -0.5 * Z(2) | 5 | 5 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["00100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.1494) q[0];
cx q[1], q[0];
cx q[4], q[3];
rz(-0.1494) q[3];
cx q[4], q[3];
rz(0.0747) q[1];
rz(0.0747) q[0];
rz(0.0747) q[4];
rz(0.0747) q[3];
rz(-0.0747) q[2];
h q[0];
rz(-0.1462) q[0];
h q[0];
h q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
rz(x1) q[1];
rz(x1) q[0];
rz(x1) q[4];
rz(x1) q[3];
rz... | {"node": 2} | {"circuits": [], "gradients": []} |
9800d678f4921072509903db27fda1fd | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, ... | {"states": [73, 112], "expectation_value": -0.5417681082349812, "params": [[-0.0487, -0.0707], [0.0609, 0.06860000000000001]], "bitstrings": ["0110110", "0001111"], "total_optimization_steps": 10, "probabilities": [0.010197113296772921, 0.010257319454349328], "optimization_time": 3.061838150024414} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.5 * Z(1) + -0.5 * Z(3) + -1.0 * Z(5) + -1.5 * Z(6) + -0.5 * Z(2) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0100111", "0001111", "0110101", "0110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(-0.0487) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.0487) q[1];
cx q[4], q[1];
cx q[4], q[3];
rz(-0.0487) q[3];
cx q[4], q[3];
cx q[1], q[3];
rz(-0.0487) q[3];
cx q[1], q[3];
cx q[1], q[5... | 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": []} |
7bc4dde9a09d0b94c5097b219891d81a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 2}]} | {"states": [10, 3], "expectation_value": -1.9737567129598177, "params": null, "bitstrings": ["0101", "1100"], "total_optimization_steps": 13, "probabilities": [0.07348052951458199, 0.9007122774707554], "optimization_time": 5.671151638031006} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + 0.0 * Z(2) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1100", "0101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-1.5681) q[1];
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(0.1072) q[3], q[2];
cry(-0.0719) q[0], q[3];
cry(-0.0027) q[2], q[1];
cry(0.0284... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... |
61fc58e7ea5c0b858181cef6a00713e4 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 6}, {"weight": 6, "source": 2, "target": 3}, {"weight": 13, "source": 2, "targ... | {"states": [252, 188], "expectation_value": -28.679152141664314, "params": [[-0.0398, -0.0008, 0.0067], [0.069, 0.0683, 0.0692]], "bitstrings": ["100000011", "101000011"], "total_optimization_steps": 10, "probabilities": [0.009870929633262188, 0.013963716048641597], "optimization_time": 6.1349122524261475} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 9.0 * Z(1) +... | 1 | 9 | 3 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["101000011"]} | 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(-0.3582) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.3582) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(-0.3582) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.3582) q[4];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
-705799067719030657 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 3, 4, 6, 7, 8], [0, 1, 4, 5, 6, 7, 8], [2, 6], [0, 1, 2, 3, 4, 5, 8, 9], [1, 3, 6, 9], [0, 3, 6, 8, 9]]} | {"states": [891, 888], "expectation_value": -1.129381797917437, "params": [1.2850000000000001, 0.0178, 1.0551000000000001, 0.0054, 1.2894, 0.2142, 1.0804, 0.0025, 0.439, 0.49260000000000004, 0.4444, 0.0001, 1.2846, 0.1726, 1.0817, 0.009300000000000001, 1.2891000000000001, 0.1076, 1.284, 0.006500000000000001, 1.29310000... | 0.06547619047619047 * (Z(0) @ Z(1)) + 0.125 * (Z(3) @ Z(1)) + 0.09166666666666667 * (Z(3) @ Z(0)) + 0.06547619047619047 * (Z(4) @ Z(1)) + 0.06547619047619047 * (Z(4) @ Z(0)) + 0.041666666666666664 * (Z(4) @ Z(3)) + 0.13095238095238093 * (Z(6) @ Z(1)) + 0.09761904761904762 * (Z(6) @ Z(0)) + 0.15714285714285714 * (Z(6) @... | 5 | 10 | 1 | {"smallest_eigenvalues": [-1.4916666666666667, -1.4916666666666667, -1.4916666666666667, -1.4916666666666667, -1.4916666666666667], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.4916666666666663, "smallest_bitstrings": ["1010000101", "0010100101", "0110000010", "1110000000", "0010000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.285) q[0];
rz(0.0178) q[0];
rx(1.2894) q[1];
rz(0.2142) q[1];
rx(0.439) q[2];
rz(0.4926) q[2];
rx(1.2846) q[3];
rz(0.1726) q[3];
rx(1.2891) q[4];
rz(0.1076) q[4];
rx(1.2931) q[5];
rz(0.1542) q[5];
rx(1.2921) q[6];
rz(-0.1402) q[6];
rx(1.0601) 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": []} |
9e8a866d2c0011b6946d4c64e758f31c | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 4}, {"weight": 17, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 2}, {"weight": 1... | {"states": [188, 124], "expectation_value": -37.8184138275246, "params": null, "bitstrings": ["01000011", "10000011"], "total_optimization_steps": 100, "probabilities": [0.1356070492565516, 0.23366831123903148], "optimization_time": 165.81853318214417} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(0)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-77.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["10000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(9.9081) q[4];
ry(6.5925) q[3];
ry(-9.0161) q[1];
ry(15.9361) q[2];
ry(0.9644) q[5];
cry(-22.0311) q[5], q[1];
cry(62.7075) q[5], q[3];
cry(-3.4209) q[5], q[4];
cry(1.4208) q[5], q[2];
ry(5.0533... | 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(9.9081) 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[... |
4743a42b98680c4f321c8f72a752812d | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 4, "source": 3, "target": 4}, {"capaci... | {"states": [30, 447], "expectation_value": -3.462243225019633, "params": [[-0.0801, -0.0606], [0.0809, 0.0747]], "bitstrings": ["111100001", "001000000"], "total_optimization_steps": 10, "probabilities": [0.003608220806504487, 0.003633067837032007], "optimization_time": 6.595808029174805} | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(8)) + 1.0 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(8)) + 2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6... | 1 | 9 | 2 | {"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;
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(0.0801) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.0801) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(-0.0534) q[1];
cx q[0], q[1];
cx q[3], q[7];
rz(0.0801) q[7];
cx q[3], 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": 5} | {"circuits": [], "gradients": []} |
5453c2513a3015ff34fdf7af0c17d479 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [21, 7], "expectation_value": -12.49929898053237, "params": null, "bitstrings": ["1101010", "1111000"], "total_optimization_steps": 66, "probabilities": [0.10660517640631754, 0.613859001512618], "optimization_time": 118.78458857536316} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 18 | 7 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.4894) q[0];
cry(-1.5708) q[6], q[3];
cry(-1.5704) q[5], q[2];
ry(1.0372) q[6];
cry(-1.5708) q[4], q[1];
ry(1.0556) q[4];
ry(-0.4336) q[1];
ry(0.7789) q[5];
ry(-0.4911) q[3];
ry(-0.3194) q[2];
cry(0.... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
455f6f23bf51d98ac570bfc0b0837643 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": ... | {"states": [1023, 1015], "expectation_value": -29.513839959112374, "params": [[[-0.0024000000000000002, 3.1442], [-0.0029000000000000002, -0.0027], [0.0019, -0.0024000000000000002], [-0.0027, -0.0021000000000000003], [-0.0031000000000000003, -0.003], [-0.0025, -0.003], [1.5997000000000001, -0.0034000000000000002], [-0.... | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(5)) + 1.0 * (Z(9) @ Z(6)) + -2... | 15 | 10 | 1 | {"smallest_eigenvalues": [-30.0, -30.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -29.0, "smallest_bitstrings": ["0000001000", "0000011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0024) q[0];
ry(-0.0029) q[1];
ry(0.0019) q[2];
ry(-0.0027) q[3];
ry(-0.0031) q[4];
ry(-0.0025) q[5];
ry(1.5997) q[6];
ry(-0.0024) q[7];
ry(-0.0029) q[8];
ry(0.0026) 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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10... | {"node": 7} | {"circuits": [], "gradients": []} |
fb8dcd1d9662770600b2a58ea2467525 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": ... | {"states": [992, 995], "expectation_value": -2.0140712884469676, "params": [[-0.0713], [0.07150000000000001]], "bitstrings": ["0000011111", "0000011100"], "total_optimization_steps": 10, "probabilities": [0.0018373121351750706, 0.0019096810858215912], "optimization_time": 2.8017215728759766} | -2.5 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 1.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -1.0 * (Z(8) @ Z(9)) + 0.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["0000011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(0.3565) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1426) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3565) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2852) 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;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(... | {"node": 8} | {"circuits": [], "gradients": []} |
800f779aab5ac71650acd9af8d6964c8 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [21, 7], "expectation_value": -15.541209920558796, "params": [[0.031100000000000003, 0.0114, 0.0077, 0.006200000000000001], [-0.0668, -0.0621, -0.060700000000000004, -0.056]], "bitstrings": ["11101010", "11111000"], "total_optimization_steps": 10, "probabilities": [0.010842708719869473, 0.012043518083641444]... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 1 | 8 | 4 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.1711) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1711) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1711) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.1711) 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[... | {"k": 5} | {"circuits": [], "gradients": []} |
82b7510e3c4f18f03c81315097910da2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capaci... | {"states": [32, 31], "expectation_value": -2.3569014331709663, "params": [[-0.0655, -0.0736, -0.0708, -0.056600000000000004], [0.0697, 0.07440000000000001, 0.07400000000000001, 0.069]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.059041811704462197, 0.062379633927753114], "op... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(5) + -0.25 * Z(2) + 0.25 * Z(3) + 0.25 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0328) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(0.0983) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0.0655) q[5];
cx q[0], q[5];
cx q[1], q[2];
rz(0.0328) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(0.131... | OPENQASM 3.0;
include "stdgates.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": []} |
c12dc8bfc0d8e8bc2e65cda825a741ab | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 2}]} | {"states": [8, 4], "expectation_value": -0.5285145902929377, "params": [[-0.1358, -0.1408, -0.1458, -0.1442], [0.1231, 0.131, 0.1454, 0.1487]], "bitstrings": ["0111", "1011"], "total_optimization_steps": 20, "probabilities": [0.11378933393224094, 0.11378933393224096], "optimization_time": 2.4387688636779785} | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -0.5 * Z(3) + 0.16666666666666674 * Z(0) + 0.16666666666666674 * Z(1) + -0.16666666666666666 * Z(2) | 1 | 4 | 4 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.9999999999999999, "smallest_bitstrings": ["1011"]} | 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[3], q[0];
rz(0.1358) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.1358) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(-0.0905) q[1];
cx q[0], q[1];
rz(0.1358) q[3];
rz(-0.0453) q[0];
rz(-0.0453) q[1];
rz(0.0453) q[2];
h q[0];
rz(0.246... | OPENQASM 3.0;
include "stdgates.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": 2} | {"circuits": [], "gradients": []} |
dddd2c6c503a97ade6b445e6815c4f85 | 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": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3... | {"states": [17, 1], "expectation_value": -18.2033545525087, "params": null, "bitstrings": ["1101110", "1111110"], "total_optimization_steps": 39, "probabilities": [0.09184956582734856, 0.7367857029693289], "optimization_time": 34.167750120162964} | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(1)) + 4.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -4.5 * Z(2) + -0.2... | 1 | 7 | 3 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "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(-0.7408) q[2];
ry(1.2796) q[6];
cry(-0.271) q[6], q[0];
ry(-0.0201) q[0];
cry(0.2116) q[6], q[2];
cry(-1.2764) q[5], q[0];
cry(-1.0373) q[1], q[2];
ry(-1.5708) q[4];
cry(-0.6405) q[1], q[0];
ry(-1.5708... | 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(-0.7408) 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", ... |
013c50ea24700a665f8ce08a638ec7d1 | 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": 0, "id": 8}, {"bipartite":... | {"states": [298, 299], "expectation_value": -119.33371807678967, "params": [[0.0007, 0.0026000000000000003, 1.0490000000000002, -0.1313, 0.1529, 1.2511, -0.0023, 1.0612000000000001, -0.025500000000000002, 1.2363, 0.4696], [0.0, 0.0028, 1.0430000000000001, 0.1285, 0.09620000000000001, 1.0728, -0.0024000000000000002, 1.0... | 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(8) @ Z(5)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(0) @ Z(9)) + 8.0 * (Z(7) @ Z(2)) + 8.0 * (Z(7) @ Z(3)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(7) @ Z(9)) + 8.0 * (Z(10) @ Z(4)) + -5.5 * Z(1) + 16.5 * Z(2) + 2.5 * Z(3) + 8.5 * Z(5) + 3.0 * Z(4) + 12.0 * Z(8... | 10 | 11 | 2 | {"smallest_eigenvalues": [-128.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -118.0, "smallest_bitstrings": ["11011010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0007) q[0];
ry(0.0026) q[1];
ry(1.049) q[2];
ry(-0.1313) q[3];
ry(0.1529) q[4];
ry(1.2511) q[5];
ry(-0.0023) q[6];
ry(1.0612) q[7];
ry(-0.0255) q[8];
ry(1.2363) q[9];
ry(0.4696) 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, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
8ed7cc91faf8f25841f02066a68a347e | 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": 4, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 4... | {"states": [64, 63], "expectation_value": -0.20116291862332658, "params": [[0.0396], [-0.0273]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.008427367676301586, 0.00846477173726942], "optimization_time": 1.8638231754302979} | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -0.75 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(4)) + -0.75 * (Z(5) @ Z(6)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.0 * Z(2) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "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(-0.0792) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0594) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1188) q[2];
cx q[0], q[2];
cx q[1], q[6];
rz(-0.0792) q[6];
cx q[1], q[6];
cx q[0], 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];... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
685055bd53f01c347f7f2a1d5c7df105 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, ... | {"states": [17, 25], "expectation_value": -1.73635514253337, "params": [0.0018000000000000002, 0.0019, 0.17600000000000002, 0.1778, 0.403, 0.3992, 0.3956, 0.39940000000000003, 0.3013, 0.30770000000000003, 0.0058000000000000005, 0.0057, 0.4016, 0.3985, 0.0021000000000000003, 0.004, 0.1731, 0.1802, 0.3967, 0.4045, 0.4035... | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ 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(5) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.75 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(... | 13 | 7 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["1100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.0018) q[0];
ry(0.176) q[1];
ry(0.403) q[2];
ry(0.3956) q[3];
ry(0.3013) q[4];
ry(0.0058) q[5];
ry(0.4016) q[6];
crz(0.0019) q[6], q[0];
crz(0.1496) q[5], q[6];
crz(-0.0479) q[4], q[5];
crz(-0.0363) q[3], q[4];
crz(0.0384) q[2], q[3];
crz(-0.1006) q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-710647696864117693 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 4], [0, 1, 3, 5], [2, 3]]} | {"states": [54, 39], "expectation_value": -0.7473926724299184, "params": [[0.9375], [-0.40040000000000003]], "bitstrings": ["001001", "011000"], "total_optimization_steps": 100, "probabilities": [0.0546298077286889, 0.05462980772868891], "optimization_time": 2.127246618270874} | 0.5 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.125 * Z(1) + 0.125 *... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.2500000000000004, -1.2500000000000004], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.25, "smallest_bitstrings": ["101000", "011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[2];
rz(0.9375) q[2];
cx q[4], q[2];
cx q[1], q[0];
rz(0.1562) q[0];
cx q[1], q[0];
cx q[2], q[3];
rz(0.9375) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.1562) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.1562... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[1], q[0];
rz(x1) q[0];
cx q[1], q[0];
cx q[2], q[3];
rz(x0) q[3]... | null | {"circuits": [], "gradients": []} |
3b54a4f1ad1ff00c4601b5e716864e69 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [25, 21], "expectation_value": -3.5468989342246324, "params": [0.0129, 0.20370000000000002, 0.1066, 0.21530000000000002, -0.0036000000000000003, 0.1965, 0.4077, 0.10400000000000001, 0.40080000000000005, 0.1394, 0.38880000000000003, 0.21200000000000002, -0.002, 0.215, 0.40440000000000004, 0.09770000000000001,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(6) + ... | 3 | 8 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["11101001", "11100110", "10011110", "01100111", "01101011", "10110110", "11011010", "11101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0129) q[0];
rz(0.2037) q[0];
rx(0.1066) q[1];
rz(0.2153) q[1];
rx(-0.0036) q[2];
rz(0.1965) q[2];
rx(0.4077) q[3];
rz(0.104) q[3];
rx(0.4008) q[4];
rz(0.1394) q[4];
rx(0.3888) q[5];
rz(0.212) q[5];
rx(-0.002) q[6];
rz(0.215) q[6];
rx(0.4044) q[7];
rz(0.09... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
f2047c6dc2e9d682da53d8be7e542e8d | 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": [187, 155], "expectation_value": -92.56657659360498, "params": [0.0029000000000000002, 0.6034, 0.7826000000000001, 0.003, 0.0029000000000000002, 0.43460000000000004, 0.3755, 0.2341, 0.7896000000000001, 0.1149, 0.7858, -0.0108, 0.1761, 0.33430000000000004, 0.79, 0.08850000000000001, 0.769, -0.0008, 0.0041, 0.... | 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(8) @ Z(7)) + 25.5 * Z(1) ... | 16 | 9 | 4 | {"smallest_eigenvalues": [-103.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.0, "smallest_bitstrings": ["101100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0029) q[0];
rz(0.6034) q[0];
rx(0.7826) q[1];
rz(0.003) q[1];
rx(0.0029) q[2];
rz(0.4346) q[2];
rx(0.3755) q[3];
rz(0.2341) q[3];
rx(0.7896) q[4];
rz(0.1149) q[4];
rx(0.7858) q[5];
rz(-0.0108) q[5];
rx(0.1761) q[6];
rz(0.3343) q[6];
rx(0.79) q[7];
rz(0.08... | 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] 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 floa... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
1482f4f5abcf5f1c29a93218e5aedf4b | 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": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, ... | {"states": [111, 39], "expectation_value": -7.456903785028235, "params": null, "bitstrings": ["10010000", "11011000"], "total_optimization_steps": 52, "probabilities": [0.14337210102024978, 0.8124012117549206], "optimization_time": 53.21842002868652} | -0.5 * (Z(0) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(7) + -1.25 * Z(3) + 0.25 * Z(4) + -0.5 * Z(2) + 1.0 * Z(5) + 1.5 * Z(6) | 1 | 8 | 2 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.75, "smallest_bitstrings": ["11011000", "11111000", "11111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[6];
cry(1.5681) q[6], q[5];
cry(1.5626) q[1], q[4];
cry(-1.5486) q[5], q[3];
cry(1.5486) q[6], q[7];
cry(-1.5681) q[7], q[0];
ry(-0.6145) q[4];
cry(-0.6644) q[6], q[1];
cry(-0.8986) 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[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[... |
2c69f66e23c234e31f1d5ec8aa443338 | connected_components | 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": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}]} | {"states": [0, 62], "expectation_value": -3.827230617095965, "params": [0.42000000000000004, 1.1751, 0.26630000000000004, -0.0699, 0.5475, 0.6464000000000001, 0.3104, 0.0558, -0.024200000000000003, 0.20800000000000002, 0.3795, 1.1802000000000001, -0.5443, 0.0145, -0.34140000000000004, 0.5394, -0.4103, 0.2975, -0.4849, ... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -0.5 * Z(5) | 6 | 6 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.42) q[0];
rz(1.1751) q[0];
rx(0.5475) q[1];
rz(0.6464) q[1];
rx(-0.0242) q[2];
rz(0.208) q[2];
rx(-0.5443) q[3];
rz(0.0145) q[3];
rx(-0.4103) q[4];
rz(0.2975) q[4];
rx(-0.0564) q[5];
rz(-0.0012) q[5];
crx(1.2142) q[5], q[4];
crx(1.1665) q[5], q[3];
crx(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[... | {"node": 5} | {"circuits": [], "gradients": []} |
-3377230158569737351 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 1, 2], [0, 2, 3], [1, 2, 3]]} | {"states": [6, 13], "expectation_value": -0.0028147724341078054, "params": [[0.0224], [-0.0222]], "bitstrings": ["1001", "0010"], "total_optimization_steps": 10, "probabilities": [0.06264504481003591, 0.06268659838646541], "optimization_time": 1.1053588390350342} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.3333333333333333 * Z(1) + 0.3333333333333333 * Z(0) + 0.5 * Z(2) + 0.3333333333333333 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-0.9999999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.6666666666666667, "smallest_bitstrings": ["0010"]} | 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(0.0075) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0149) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0149) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0075) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0075) 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;
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[1], q[2];
rz(x1) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x1) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(x... | null | {"circuits": [], "gradients": []} |
a7fba5c7fdc2a0492603f740d30b0e3e | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": ... | {"states": [201, 232], "expectation_value": -2.6727452757108128, "params": null, "bitstrings": ["00110110", "00010111"], "total_optimization_steps": 54, "probabilities": [0.08533816759761513, 0.7525157014546147], "optimization_time": 181.00479412078857} | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.6875, -2.6875, -2.6875, -2.6875, -2.6875, -2.6875, -2.6875], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.6875, "smallest_bitstrings": ["00110110", "00010111", "01110100", "10010011", "10110010", "11010001", "01010101"]} | 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(-1.4868) q[3];
ry(1.3012) q[4];
cry(-1.298) q[2], q[7];
cry(-1.1895) q[1], q[6];
ry(0.7821) q[2];
cry(-1.1229) q[0], q[5];
ry(0.749) q[1];
ry(0.7274) q[0];
ry(-0.491) q[5];
cry(0.5021) q[4], q[... | 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(-1.4868) 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... |
aa9a137beae174c5d90acdfa52f10db2 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [2017, 2047], "expectation_value": -18.85696928949018, "params": [[[-0.0023, 1.7042000000000002], [-0.0029000000000000002, -0.0024000000000000002], [-0.0035, -0.0028], [-0.0031000000000000003, -0.003], [-0.0026000000000000003, -0.0029000000000000002], [-0.0027, -0.0027], [-0.0031000000000000003, 1.4775], [-0... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(0)) + -2.0 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + 0.5 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(6)) + -1.5 * (Z(9) @ Z(8)) + -2.0 * (Z(3) @ Z(10)) + -1.5 * (Z(2) @ Z(10)) +... | 15 | 11 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["00000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0023) q[0];
ry(-0.0029) q[1];
ry(-0.0035) q[2];
ry(-0.0031) q[3];
ry(-0.0026) q[4];
ry(-0.0027) q[5];
ry(-0.0031) q[6];
ry(-0.0033) q[7];
ry(0.0021) q[8];
ry(-0.0026) q[9];
ry(-0.0021) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 8} | {"circuits": [], "gradients": []} |
3295398867795388253 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[3, 5, 8, 9, 10], [0, 4, 5, 6, 8], [0, 1, 3, 4, 5, 7], [9, 10, 1], [0, 1, 4, 5, 6, 9], [0, 1, 4, 5, 8], [9, 2, 10, 6], [9, 3, 6], [1, 4, 6, 7], [0, 4, 5, 6, 7, 10], [2, 4, 5, 7, 8, 10], [1, 2, 3, 6, 8, 10], [1, 3, 4, 5, 7, 8], [0, 2, 4], [0, 9, 10, 4], [9, 2,... | {"states": [1012, 1013], "expectation_value": -4.890447837073346, "params": [0.0024000000000000002, -1.6453, 1.8528, 0.0024000000000000002, 2.1506000000000003, 0.0024000000000000002, 2.3432, 0.0027, 2.7155, -0.0024000000000000002, 3.0096000000000003, 0.0031000000000000003, 3.1442, -0.19160000000000002, 1.0406, -0.4747,... | 0.16666666666666669 * (Z(3) @ Z(5)) + 0.21666666666666667 * (Z(8) @ Z(5)) + 0.25 * (Z(8) @ Z(3)) + 0.08333333333333334 * (Z(9) @ Z(5)) + 0.3 * (Z(9) @ Z(3)) + 0.3 * (Z(9) @ Z(8)) + 0.16666666666666669 * (Z(10) @ Z(5)) + 0.26666666666666666 * (Z(10) @ Z(3)) + 0.16666666666666669 * (Z(10) @ Z(8)) + 0.4333333333333333 * (... | 4 | 11 | 1 | {"smallest_eigenvalues": [-5.299999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.233333333333331, "smallest_bitstrings": ["10000001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0024) q[0];
rz(-1.6453) q[0];
rx(1.8528) q[1];
rz(0.0024) q[1];
rx(2.1506) q[2];
rz(0.0024) q[2];
rx(2.3432) q[3];
rz(0.0027) q[3];
rx(2.7155) q[4];
rz(-0.0024) q[4];
rx(3.0096) q[5];
rz(0.0031) q[5];
rx(3.1442) q[6];
rz(-0.1916) q[6];
rx(1.0406) 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": []} |
de5ae67769d18e3604b231a7c86101ec | 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": [3144, 3145], "expectation_value": -114.37001697702237, "params": [[1.2018, 1.2007, -0.1568, -0.3385, -0.039400000000000004, 1.0678, 0.0032, 0.17020000000000002, 1.1552, -0.0029000000000000002, 0.0035, 0.45740000000000003], [0.2167, 0.1892, 0.019, 0.2336, 0.1384, 1.0763, 0.0029000000000000002, 0.1796, 1.183,... | 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(0) @ Z(2)) + 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(4) @ Z(0)) + 8.0 * (Z(5) @ Z(0)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(3) @ Z(8)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(9) @ Z(1)) + 8.0 * (Z(11) @ Z(7)) + 0.5 * Z(2) + 17.5 * Z(1) + 24.0 * Z(0) + 3.5 * Z(4) + 13.5 * Z(5) + -6.5 * Z(... | 10 | 12 | 2 | {"smallest_eigenvalues": [-137.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -123.5, "smallest_bitstrings": ["001110110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.2018) q[0];
ry(1.2007) q[1];
ry(-0.1568) q[2];
ry(-0.3385) q[3];
ry(-0.0394) q[4];
ry(1.0678) q[5];
ry(0.0032) q[6];
ry(0.1702) q[7];
ry(1.1552) q[8];
ry(-0.0029) q[9];
ry(0.0035) q[10];
ry(0.4574) q[11];
cz q[11], q[10];
cz q[10], q[9];
cz q[9], q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
4ad240d57102d025ddea38d8ddb54f36 | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": ... | {"states": [647, 135], "expectation_value": -0.5078124964554416, "params": [[0.026000000000000002], [-0.021500000000000002]], "bitstrings": ["0101111000", "1101111000"], "total_optimization_steps": 10, "probabilities": [0.0011174275837419318, 0.0011248596284469327], "optimization_time": 2.5620968341827393} | -3.0 * (Z(0) @ Z(5)) + -3.0 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + -3.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -3.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -3.0 * (Z(6) @ Z(1)) + 1.5 * (Z(6) @ Z(4)) + 1.5 * (Z(3) @ Z(5)) + 1.0 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(4)) + -3.0 * (Z(3) @ Z(6)) + -2.0... | 5 | 10 | 1 | {"smallest_eigenvalues": [-36.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -35.0, "smallest_bitstrings": ["1101111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[5], q[0];
rz(-0.156) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(-0.156) q[1];
cx q[5], q[1];
cx q[0], q[1];
rz(0.026) q[1];
cx q[0], q[1];
cx q[5], q[4];
rz(-0.182) q[4];
cx q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[5], q[0];
rz(... | {"node": 5} | {"circuits": [], "gradients": []} |
c508ed0753e7f28a56c3d421944e1b14 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": ... | {"states": [991, 31], "expectation_value": -2.2410999660497652, "params": [[0.0736], [-0.0819]], "bitstrings": ["0000100000", "1111100000"], "total_optimization_steps": 10, "probabilities": [0.0018045764598153171, 0.0019028436902766373], "optimization_time": 1.3310620784759521} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(9)) + -2.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(9)) + -2.0 * (Z(7) @ Z(6)) + 0.5 ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-18.5, -18.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["1111100000", "0000100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(-0.368) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.368) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.368) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2944) 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;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q... | {"node": 3} | {"circuits": [], "gradients": []} |
27c408f36f3749a0af3ff77dddb9a6ea | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [342, 854], "expectation_value": -2.103466974682995, "params": [[[1.608, 0.006200000000000001, 0.008400000000000001, 0.0094], [0.38230000000000003, -0.0017000000000000001, 1.5515, 0.0], [0.6920000000000001, 0.0023, 0.0048000000000000004, 0.0025], [0.46690000000000004, 0.0028, 1.3813, 0.0097], [0.0337, 0.0023... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 12 | 10 | 1 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 20, "first_excited_energy": -2.125, "smallest_bitstrings": ["0011010001", "0010011001", "0100101001... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.608) q[0];
rz(0.0062) q[0];
ry(0.3823) q[1];
rz(-0.0017) q[1];
ry(0.692) q[2];
rz(0.0023) q[2];
ry(0.4669) q[3];
rz(0.0028) q[3];
ry(0.0337) q[4];
rz(0.0023) q[4];
ry(0.7319) q[5];
rz(0.0026) q[5];
ry(0.003) q[6];
rz(0.0023) q[6];
ry(1.0471) 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": []} |
1fc21af19f39ef7e600197f0903292a1 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [9714, 8688], "expectation_value": -4.631607271354118, "params": [[0.3009], [-0.322]], "bitstrings": ["01101000001101", "01111000001111"], "total_optimization_steps": 210, "probabilities": [0.0008879840423701732, 0.0008879840423701734], "optimization_time": 20.391197204589844} | 0.5 * (Z(0) @ Z(9)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(0)) + 0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(12) @ Z(0)) + 0.5 * (Z(12) @ Z(10)) + -0.5 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(10)) + -1.0 * (Z(3) @ Z(12)) + -0.5 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(10)) + -0.5 * (Z(4) @ Z(1... | 1 | 14 | 1 | {"smallest_eigenvalues": [-8.666666666666618], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.666666666666616, "smallest_bitstrings": ["01111000001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
cx q[9], q[0];
rz(0.3009) q[0];
cx q[9], q[0];
cx q[9], q[10];
rz(0.6018) q[10];
cx q[9], q[10];
cx q[0], q[10];
rz(0.3009) q[10];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[14] c;
qubit[14] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
1c92797ebdc5766ffafd498d21cf8a8a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": ... | {"states": [3, 34], "expectation_value": -3.4116322463037734, "params": null, "bitstrings": ["111100", "011101"], "total_optimization_steps": 20, "probabilities": [0.06012643125725526, 0.7888196926387847], "optimization_time": 17.03613042831421} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + -0.5 * Z(1) + -1.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["111100", "001111", "101011", "110011", "101110", "011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[2];
ry(-1.5681) q[3];
cry(-1.0343) q[0], q[5];
cry(-1.0342) q[4], q[1];
ry(0.7003) q[0];
ry(0.7003) q[4];
ry(-0.4549) q[5];
ry(-0.4549) q[1];
cry(0.4578) q[4], q[0];
cry(0.4515) q[0], q[4];
cry(-0.3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
11576eab70c2ec583415b5e8bd58f9e2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": ... | {"states": [84, 85], "expectation_value": -2.894695573888316, "params": [0.7918000000000001, 0.1496, 0.0027, 0.4772, 0.8848, 0.1522, 0.051500000000000004, 0.48660000000000003, 0.8823000000000001, -0.0256, -0.0045000000000000005, 0.6633, 0.47340000000000004, 0.0012000000000000001, 0.7815000000000001, 0.1621, -0.0014, 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(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(2) @ Z(6) @ Z(3)) ... | 18 | 7 | 4 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["0101010", "1000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.7918) q[0];
rz(0.1496) q[0];
rx(0.0027) q[1];
rz(0.4772) q[1];
rx(0.8848) q[2];
rz(0.1522) q[2];
rx(0.0515) q[3];
rz(0.4866) q[3];
rx(0.8823) q[4];
rz(-0.0256) q[4];
rx(-0.0045) q[5];
rz(0.6633) q[5];
rx(0.4734) q[6];
rz(0.0012) q[6];
crz(-0.0012) q[6], 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": []} |
bfcc016c6d32554855d911056b5152b6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [9, 1], "expectation_value": -1.1975006003964934, "params": [[0.0563], [-0.0531]], "bitstrings": ["11110110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.0054114875745223485, 0.005651414471760843], "optimization_time": 2.319998264312744} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(6)) + 4.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-22.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.25, "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];
cx q[1], q[0];
rz(-0.0563) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0844) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1689) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(-0.1126) q[5];
cx q[1], q[5];
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] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
4a01a984c253fac78cca60269d01efc1 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [378, 374], "expectation_value": -1.4661681250102303, "params": [[[0.5044000000000001, 0.0221], [0.46030000000000004, -0.0246], [0.267, -0.1617], [0.4999, 0.49810000000000004], [0.4983, 0.4016], [0.4955, 0.31220000000000003], [0.49500000000000005, 0.32880000000000004], [0.41700000000000004, 0.5022], [0.2877,... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(5)) + -0.125 * (Z(2) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(2) @ Z(3) @ Z(4... | 15 | 10 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.25, "smallest_bitstrings": ["0101001010", "0100011010", "0100101010", "0100101001", "0110000110", "0111000010", "0110001010... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.5044) q[0];
ry(0.4603) q[1];
ry(0.267) q[2];
ry(0.4999) q[3];
ry(0.4983) q[4];
ry(0.4955) q[5];
ry(0.495) q[6];
ry(0.417) q[7];
ry(0.2877) q[8];
ry(0.4405) 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[5];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
7fe3e81ce98b6aa7c8360164e3e03bbf | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"sour... | {"states": [57, 59], "expectation_value": -3.9797179170327324, "params": [[[-0.021, -0.26890000000000003], [-0.0068000000000000005, -0.325], [-0.0159, -0.3114], [0.6096, -0.0027], [0.6053000000000001, 0.0029000000000000002], [0.5994, -0.0016], [0.5181, -0.0568], [0.5291, 0.0546], [0.6046, 0.0009000000000000001]], [[-0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -0.5 * Z(4) + 0.0 * Z(8) + 0.0 * Z(3... | 1 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["110001010", "111000100", "111000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.021) q[0];
rz(-0.2689) q[0];
rx(-0.0068) q[1];
rz(-0.325) q[1];
rx(-0.0159) q[2];
rz(-0.3114) q[2];
rx(0.6096) q[3];
rz(-0.0027) q[3];
rx(0.6053) q[4];
rz(0.0029) q[4];
rx(0.5994) q[5];
rz(-0.0016) q[5];
rx(0.5181) q[6];
rz(-0.0568) q[6];
rx(0.5291) 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": []} |
b09e755efcca3feee9a922b2db1722b3 | 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": [406, 151], "expectation_value": -39.1065273194654, "params": [1.1826, 0.6751, 1.2043000000000001, 0.2144, 0.0031000000000000003, 0.7087, 0.796, 0.3327, 1.2014, 0.196, 0.5584, 0.39080000000000004, 1.1949, 0.029500000000000002, 1.2012, 0.014400000000000001, 1.1885000000000001, 0.8195, 0.9788, 0.0046, 1.2078, ... | 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(6) @ Z(7)) + 5.5 * (Z(8) @ Z(0)) + 4.5 * Z(0) + 7.0 * Z(1) + -3.0 * Z(2) + 13.5 * Z(4) + 4.5 * Z(3) + 1.5 * Z(5) + 10.0 * Z(7) + 13.5 * Z(6) + 1.5 * Z(8) | 18 | 9 | 2 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["101101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.1826) q[0];
rz(0.6751) q[0];
rx(1.2043) q[1];
rz(0.2144) q[1];
rx(0.0031) q[2];
rz(0.7087) q[2];
rx(0.796) q[3];
rz(0.3327) q[3];
rx(1.2014) q[4];
rz(0.196) q[4];
rx(0.5584) q[5];
rz(0.3908) q[5];
rx(1.1949) q[6];
rz(0.0295) q[6];
rx(1.2012) q[7];
rz(0.01... | OPENQASM 3.0;
include "stdgates.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]}"} | {"circuits": [], "gradients": []} |
30e28b56cad01a233ddf0894e9b7eaa8 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [150, 158], "expectation_value": -2.430811837451412, "params": [[[0.5004000000000001, 0.0012000000000000001], [0.21430000000000002, 0.008], [-0.0245, -0.0194], [0.8449000000000001, 0.7052], [0.9166000000000001, 0.5327000000000001], [0.2076, 0.5781000000000001], [0.6761, 1.0033], [0.6454000000000001, 0.000900... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(0) @ Z(2) @ Z(5)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(1) @ Z(3) @ Z(6)) ... | 15 | 8 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["01001100", "01100001", "10001010", "10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.5004) q[0];
ry(0.2143) q[1];
ry(-0.0245) q[2];
ry(0.8449) q[3];
ry(0.9166) q[4];
ry(0.2076) q[5];
ry(0.6761) q[6];
ry(0.6454) 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": []} |
d6ca78958a015bca449989b3cc828628 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [740, 748], "expectation_value": -2.9461319805335586, "params": [0.2962, -0.005, 0.2979, -0.0012000000000000001, 0.0985, 0.1038, 0.1066, 0.09770000000000001, 0.2969, 0.0111, 0.299, 0.0308, 0.3058, 0.0031000000000000003, 0.2995, -0.0022, 0.3022, 0.0007, 0.3009, 0.0021000000000000003, -0.0055000000000000005, 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)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(6) @ Z(4... | 7 | 10 | 4 | {"smallest_eigenvalues": [-4.125, -4.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.125, "smallest_bitstrings": ["0100011010", "0100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.2962) q[0];
rz(-0.005) q[0];
rx(0.0985) q[1];
rz(0.1038) q[1];
rx(0.2969) q[2];
rz(0.0111) q[2];
rx(0.3058) q[3];
rz(0.0031) q[3];
rx(0.3022) q[4];
rz(0.0007) q[4];
rx(-0.0055) q[5];
rz(0.177) q[5];
rx(0.2937) q[6];
rz(0.0004) q[6];
rx(0.3031) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
ad7ba83290870f78ee39f06faaa6d5c0 | 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": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [1, 127], "expectation_value": -1.499899933649968, "params": [[0.0043, 0.0028, 0.0032, 1.087, -1.0848, 0.0045000000000000005, 0.0026000000000000003, 0.0037], [0.0027, 0.0021000000000000003, -0.0026000000000000003, 0.7808, 0.7744000000000001, 0.0026000000000000003, 0.0009000000000000001, 0.0027], [0.896400000... | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(7)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(6)... | 9 | 8 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["10000000", "10000110", "10000010"]} | 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(0.0043) q[0];
rx(0.0028) q[1];
rx(0.0032) q[2];
rx(1.087) q[3];
rx(-1.0848) q[4];
rx(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
2192688870611528063 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 5], [3, 6], [2, 6], [0, 7], [3, 4], [2, 4]]} | {"states": [202, 240], "expectation_value": -0.07099499492147633, "params": [[0.0789], [-0.07640000000000001]], "bitstrings": ["00110101", "00001111"], "total_optimization_steps": 10, "probabilities": [0.004487754118026641, 0.004487754118026641], "optimization_time": 1.1513445377349854} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(4) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["01001011", "10110100", "00110101", "10001110", "01110001", "11001010", "00001111", "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[5], q[1];
rz(0.0789) q[1];
cx q[5], q[1];
cx q[6], q[3];
rz(0.0789) q[3];
cx q[6], q[3];
cx q[6], q[2];
rz(0.0789) q[2];
cx q[6], q[2];
cx q[7], q[0];
rz(0.0789) q[0];
cx q[7], q[0];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[6], q[3];
rz(x0) q[3];
cx q[6], q[3];
cx q[6], q[2];
rz(x0) q[2];
cx q[6], q[2];
cx q[7]... | null | {"circuits": [], "gradients": []} |
474afac3a31ba487f93ea7ccb82b3637 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "source": 0, ... | {"states": [83, 85], "expectation_value": -16.172240777607765, "params": null, "bitstrings": ["10101100", "10101010"], "total_optimization_steps": 77, "probabilities": [0.05571345186147708, 0.7665055652737572], "optimization_time": 111.90668892860413} | -0.75 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.75 * (Z(7) @ Z(1)) + 2.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["10101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5577) q[1];
ry(0.7408) q[5];
cry(-0.0006) q[1], q[5];
cry(0.8301) q[7], q[5];
ry(1.5708) q[3];
ry(1.4645) q[7];
cry(-1.5353) q[3], q[5];
cry(2.0225) q[2], q[5];
cry(-1.5708) q[7], q[0];
cry(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];\nry(1.5577) 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[... |
ad7ba83290870f78ee39f06faaa6d5c0 | 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": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [125, 127], "expectation_value": -6.144746033732121, "params": null, "bitstrings": ["10000010", "10000000"], "total_optimization_steps": 59, "probabilities": [0.3669769650464584, 0.3669769650464584], "optimization_time": 75.41820025444031} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(7)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(6)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["10000000", "10000010", "10000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5706) q[3];
ry(1.5708) q[2];
cry(1.5708) q[3], q[1];
cry(1.3016) q[7], q[4];
cry(1.18) q[4], q[7];
cry(-1.308) q[7], q[0];
cry(1.0342) q[3], q[5];
cry(0.3915) q[2], q[5];
cry(-0.227) q[4], 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(1.5706) 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[... |
af274ddfbc35fabd9c11fc21fb9623a5 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [250, 122], "expectation_value": -65.31097966603454, "params": [0.47550000000000003, 0.32, 1.0846, 0.08370000000000001, 1.0638, 0.0253, 1.0637, -0.0049, 1.0647, 0.08850000000000001, -0.0032, 0.6828000000000001, 1.0649, 0.0818, -0.0022, 0.6836, 0.48150000000000004, 0.3069, 1.0558, 0.0897, 1.0679, 0.0083, 1.06... | 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(4) @ Z(0)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(0)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(7) @ Z(6)) + 14.5 * Z(2) + 14.0 * Z(1) + 18.5 * Z(0) + 15.5 * Z(3) + 11.5 * Z(4) + -3.5 * Z... | 18 | 8 | 3 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4755) q[0];
rz(0.32) q[0];
rx(1.0846) q[1];
rz(0.0837) q[1];
rx(1.0638) q[2];
rz(0.0253) q[2];
rx(1.0637) q[3];
rz(-0.0049) q[3];
rx(1.0647) q[4];
rz(0.0885) q[4];
rx(-0.0032) q[5];
rz(0.6828) q[5];
rx(1.0649) q[6];
rz(0.0818) q[6];
rx(-0.0022) 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, 9]}"} | {"circuits": [], "gradients": []} |
1469172568662182463 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 6], [3, 6], [0, 2], [1, 6], [0, 6], [6, 7], [0, 7], [8, 4], [1, 4], [2, 3], [8, 0], [4, 5], [0, 1]]} | {"states": [205, 306], "expectation_value": -0.031906254152898286, "params": [[-0.036500000000000005], [0.033800000000000004]], "bitstrings": ["100110010", "011001101"], "total_optimization_steps": 10, "probabilities": [0.0020407171868704567, 0.0020407171868704567], "optimization_time": 3.420398473739624} | 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.0 * Z(6) + 0.0 * Z(4) + 0.0 * Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["011001111", "011001101", "100110000", "100110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[6], q[4];
rz(-0.0365) q[4];
cx q[6], q[4];
cx q[6], q[3];
rz(-0.0365) q[3];
cx q[6], q[3];
cx q[6], q[0];
rz(-0.0365) q[0];
cx q[6], q[0];
cx q[3], q[2];
rz(-0.0365) q[2];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[6], q[4];
rz(x0) q[4];
cx q[6], q[4];
cx q[6], q[3];
rz(x0) q[3];
cx q[6], q[3];
cx q[6], q[0];
rz(x0) q[0];
cx q[6], q[0];... | null | {"circuits": [], "gradients": []} |
04fe200220cb0278b572d83172c75de9 | 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": 4, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 6... | {"states": [63, 1], "expectation_value": -1.2691644200196543, "params": [[0.0753, 0.06810000000000001], [-0.0767, -0.06810000000000001]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.015208125570822122, 0.01699660971801348], "optimization_time": 2.6310410499572754} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * Z(1) + -0.25 * Z(0) + -1.5 * Z(2) + -0.75 * Z(5) + 0.75 * Z(6) + 0.0 * Z(3) + ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111110", "1111010"]} | 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(-0.113) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1506) q[2];
cx q[1], q[2];
cx q[1], q[5];
rz(-0.1883) q[5];
cx q[1], q[5];
cx q[0], q[6];
rz(0.1506) 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] 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": []} |
aafba232bddbab68741369c28fd60f9f | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}]} | {"states": [1, 11], "expectation_value": -2.8524873504169967, "params": [[0.1422], [-0.164]], "bitstrings": ["111110", "110100"], "total_optimization_steps": 20, "probabilities": [0.028089320310923864, 0.03137021848808903], "optimization_time": 2.6738457679748535} | 0.5 * (Z(0) @ Z(4)) + 2.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(1)) + 1.0... | 1 | 6 | 1 | {"smallest_eigenvalues": [-8.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.75, "smallest_bitstrings": ["110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(0.1422) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(0.5688) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(0.2844) q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(0.1422) q[1];
cx q[4], q[1];
cx q[0], q[1];
rz(0.0711... | 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[4], q[0... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
7c7664cb9cb13a35da50c3201e32fb16 | 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": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [14, 97], "expectation_value": -0.48666987183882426, "params": [[0.0585, 0.057600000000000005, 0.062400000000000004], [-0.051800000000000006, -0.0541, -0.051300000000000005]], "bitstrings": ["1110001", "0011110"], "total_optimization_steps": 10, "probabilities": [0.011883959351786405, 0.011883959351786417], ... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(5) + -0.5 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.5, "smallest_bitstrings": ["1001110", "1101001", "0011110", "1001011", "1110001"]} | 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(0.0585) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0585) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0585) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.0585) q[4];
cx q[0], q[4];
cx q[3], q[1];
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] 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 ... | null | {"circuits": [], "gradients": []} |
-2728427003160877860 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3, 4], [3, 4, 5, 7], [0, 1, 6], [0, 4, 5], [0, 1, 2, 7], [1, 2, 5, 7], [0, 1, 5]]} | {"states": [217, 183], "expectation_value": -0.7627667570257973, "params": [[0.2832], [-0.2896]], "bitstrings": ["00100110", "01001000"], "total_optimization_steps": 30, "probabilities": [0.008243238660047818, 0.008266807052917931], "optimization_time": 1.431105136871338} | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.166666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.0833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0000000000000004, "smallest_bitstrings": ["01001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[2];
rz(0.0944) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(0.1416) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(0.0944) q[4];
cx q[2], q[4];
cx q[3], q[5];
rz(0.0472) q[5];
cx q[3], q[5];
cx 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[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
d972279ded7f316374e6dacb276633a3 | 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": 4, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, ... | {"states": [127, 63], "expectation_value": -8.246022690664965, "params": null, "bitstrings": ["10000000", "11000000"], "total_optimization_steps": 92, "probabilities": [0.20212563034862113, 0.47108249525079704], "optimization_time": 148.91766381263733} | -1.0 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(5)) + -1.75 * (Z(6) @ Z(2)) + 2.0 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-8.75, -8.75, -8.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.75, "smallest_bitstrings": ["11101110", "10000000", "11000000"]} | 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[2];
ry(1.5706) q[3];
cry(-1.5681) q[7], q[0];
ry(1.1301) q[7];
cry(1.566) q[2], q[5];
cry(1.5707) q[5], q[4];
cry(-0.4046) q[3], q[0];
cry(0.2748) q[3], q[7];
ry(-0.2427) 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(1.5706) q[6], 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] = mea... |
e314f97a67cf53680761d0291b0562fe | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 6}, {"weight": 2, "source": 2, "targ... | {"states": [238, 214], "expectation_value": -29.061190579877028, "params": [[0.0238, 0.0024000000000000002, -0.0043], [-0.0698, -0.0711, -0.061700000000000005]], "bitstrings": ["100010001", "100101001"], "total_optimization_steps": 10, "probabilities": [0.007310748414711269, 0.009697290146890355], "optimization_time": ... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-92.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["100101001"]} | 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(0.2142) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.2142) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2142) q[3];
cx q[1], q[3];
cx q[1], q[4];
rz(0.2142) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
-233323863368405135 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4], [0, 3, 4, 6], [3, 4, 5, 6], [0, 1], [1, 6], [2, 6]]} | {"states": [69, 71], "expectation_value": -0.2439840755658473, "params": [[0.1724], [-0.1585]], "bitstrings": ["0111010", "0111000"], "total_optimization_steps": 20, "probabilities": [0.011774174961026125, 0.011776702264112753], "optimization_time": 0.8402752876281738} | 0.5 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(5... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.416666666666667, "smallest_bitstrings": ["0111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[1];
rz(0.1724) q[1];
cx q[4], q[1];
cx q[4], q[0];
rz(0.0287) q[0];
cx q[4], q[0];
cx q[1], q[0];
rz(0.1724) q[0];
cx q[1], q[0];
cx q[4], q[3];
rz(0.0575) q[3];
cx q[4], q[3];
cx q[0], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], q[0];
rz(x1)... | null | {"circuits": [], "gradients": []} |
bb51b85a8f0cca1e878093cb2d4e9f25 | 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": 4}, {"weight": 13, "source": 0, "target": 5}, {"weight": 13, "source": 0, "target": 3}, {"weight": 9... | {"states": [190, 118], "expectation_value": -13.095283179147675, "params": [[0.0397], [-0.0727]], "bitstrings": ["01000001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.007305376591263986, 0.007937626457480024], "optimization_time": 4.185349225997925} | 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(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 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) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "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(0.2779) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2779) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2779) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2779) 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] 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": "maximum", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
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