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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
fb3661142d8e003905bb73659b60c8ab | 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": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [35, 113], "expectation_value": -0.2806427758733646, "params": [[-0.026500000000000003, 0.0364, 0.0058000000000000005, -0.0651], [0.057, -0.032100000000000004, -0.035, 0.0391]], "bitstrings": ["1011100", "0001110"], "total_optimization_steps": 10, "probabilities": [0.008721150352157911, 0.009148939618296274]... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -2.5 * Z(4) + -0.5 * Z(0) + -1.0 * Z(5) + -0.5 * Z(1) + -1.5 * Z(3) + -1.0 * Z... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["0001110"]} | 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(-0.0265) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(-0.0265) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(-0.0265) q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.0265) q[1];
cx q[4], q[1];
cx q[4], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
69144809aea48cb46eae9c3950f24a15 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [2910, 1774], "expectation_value": -1.5296781412386458, "params": [[-0.047900000000000005, -0.055600000000000004, -0.051000000000000004, -0.006900000000000001], [0.051300000000000005, 0.0611, 0.0687, 0.0483]], "bitstrings": ["010010100001", "100100010001"], "total_optimization_steps": 10, "probabilities": [0... | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * ... | 1 | 12 | 4 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["010001010100", "010001010001", ... | 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[4], q[3];
rz(-0.0479) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(-0.0479) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(-0.0479) q[5];
cx q[3], q[5];
cx q[3], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
266260d621043cabf37512f90b4b26ac | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [102, 86], "expectation_value": -4.9991283032519105, "params": null, "bitstrings": ["0011001", "0101001"], "total_optimization_steps": 36, "probabilities": [0.06552828227119237, 0.9338519872382248], "optimization_time": 31.153965711593628} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(2) + 0.0 * Z(1) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101001", "0011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
ry(-1.5681) q[6];
ry(1.4449) q[4];
ry(1.4449) q[0];
ry(1.4449) q[5];
cry(-1.0342) q[2], q[1];
ry(0.7003) q[2];
ry(-0.4549) q[1];
cry(0.4963) q[0], q[2];
cry(-0.3789) q[0], q[1];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... |
a1941b5b877a0f7cf4180c33739d5ac8 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": ... | {"states": [271, 15], "expectation_value": -22.480120764599143, "params": null, "bitstrings": ["1011110000", "1111110000"], "total_optimization_steps": 100, "probabilities": [0.10251526655301531, 0.4602938388772321], "optimization_time": 256.07073187828064} | -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + 1.5 * (Z(5) @ Z(4)) + 1.5 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(4)) + -3.0 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(4)) + 1.0 * (Z(3) @ Z(5)) + -2.5 * (Z(3) @ Z(2)) + -1.5 * (Z(6) @ Z(8)) + 0.5 *... | 1 | 10 | 1 | {"smallest_eigenvalues": [-28.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.5, "smallest_bitstrings": ["1111110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
ry(-1.5709) q[0];
ry(-0.2329) q[5];
ry(-0.3692) q[4];
cry(-1.3377) q[3], q[5];
ry(-1.3565) q[2];
cry(-0.8627) q[1], q[4];
cry(-0.688) q[3], q[4];
ry(-1.3071) q[3];
cry(-0.6363) q... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5709) 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... |
629064d27778679294f16fb68c627d78 | 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": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [0, 127], "expectation_value": -1.3604203288867394, "params": [[-0.0718, -0.08170000000000001, -0.0819], [0.07060000000000001, 0.0756, 0.07490000000000001]], "bitstrings": ["11111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.011753217569430499, 0.012734271317966079], "optimization_ti... | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "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];
cx q[2], q[0];
rz(0.0359) q[0];
cx q[2], q[0];
cx q[2], q[6];
rz(0.0359) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(0.0359) q[6];
cx q[0], q[6];
cx q[2], q[7];
rz(0.0718) q[7];
cx q[2], q[7];
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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
8b9699e184b2dee4b86c87a62e9c7e5c | 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": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, ... | {"states": [127, 1], "expectation_value": -0.29968970243124693, "params": [[0.0601], [-0.0579]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.004895744629968164, 0.004993387988586053], "optimization_time": 3.04150128364563} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.25 * (Z(7) @ Z(1)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "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(-0.0301) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0601) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0601) q[3];
cx q[0], q[3];
cx q[1], q[6];
rz(-0.0601) q[6];
cx q[1], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
d2e3f71e5c020057da0dd1812bdf6517 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [64382, 56190], "expectation_value": -12.792257397454824, "params": [[[2.2665, 0.001, 0.0009000000000000001, 0.0035], [0.0045000000000000005, -0.117, 1.5733000000000001, 0.0032], [1.5413000000000001, 0.0014, 0.001, 0.0098], [0.0024000000000000002, 0.3068, 1.5730000000000002, 0.001], [3.1598, 0.0047, 0.008400... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z... | 12 | 16 | 1 | {"smallest_eigenvalues": [-13.999999999999932], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.999999999999911, "smallest_bitstrings": ["0010010010000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(2.2665) q[0];
rz(0.001) q[0];
ry(0.0045) q[1];
rz(-0.117) q[1];
ry(1.5413) q[2];
rz(0.0014) q[2];
ry(0.0024) q[3];
rz(0.3068) q[3];
ry(3.1598) q[4];
rz(0.0047) q[4];
ry(1.4934) q[5];
rz(0.0021) q[5];
ry(3.1607) q[6];
rz(0.0041) q[6];
ry(-0.003) 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[... | {"number_of_colors": 4} | {"circuits": [], "gradients": []} |
c86917abe9264b33bf2c4187d24dbc9b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [407, 406], "expectation_value": -78.34806173961388, "params": [0.7782, 0.0006000000000000001, 2.8952, 0.0043, 2.9028, 0.0077, -0.002, 0.0012000000000000001, -0.0023, 0.0059, 2.9042000000000003, 0.0085, 1.0973, 0.0098, 2.898, 0.0038, 2.8934, 0.0068000000000000005, 1.4897, 0.0086, 0.001, 0.005, 0.005800000000... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(1)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(9) @ Z(1)) + 6.0 * (Z(9) @ Z(7)) + 6.0 * (Z(8) @ Z(5)) + 6.0 * (Z(8) @ Z(6)) + 6.0 * (Z(8) @ Z(9)) + 3.0 * Z(0) + 12.0 * Z(1) + 5.5 * Z(2) + -4.5 * Z(3) + 14... | 18 | 10 | 1 | {"smallest_eigenvalues": [-95.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["1001101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.7782) q[0];
rz(0.0006) q[0];
rx(2.8952) q[1];
rz(0.0043) q[1];
rx(2.9028) q[2];
rz(0.0077) q[2];
rx(-0.002) q[3];
rz(0.0012) q[3];
rx(-0.0023) q[4];
rz(0.0059) q[4];
rx(2.9042) q[5];
rz(0.0085) q[5];
rx(1.0973) q[6];
rz(0.0098) q[6];
rx(2.898) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
bb51b85a8f0cca1e878093cb2d4e9f25 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 7, "source": 1, "target": 2}, {"weight": 43, "source": 1, "target": 3}, {"weight": 42, "source": 1, "target": 4}, {"weight": 5... | {"states": [61117, 59325], "expectation_value": -15.27355561832748, "params": null, "bitstrings": ["0001000101000010", "0001100001000010"], "total_optimization_steps": 100, "probabilities": [0.0422249952477763, 0.7004648347042955], "optimization_time": 743.8829283714294} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) ... | 1 | 16 | 2 | {"smallest_eigenvalues": [-15.999999999999963], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999948, "smallest_bitstrings": ["0001100001000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
ry(1.5708) q[15];
ry(1.5708) q[10];
ry(1.5708) q[5];
ry(1.5708) q[0];
cry(1.5681) q[5], q[12];
cry(1.5681) q[5], q[11];
cry(... | null | {"start_node": 0, "end_node": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\nry(1.5708) q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[... |
504aff5065c6904e02914f6b44da8a9c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 6, "source": 2, "target": 3}, {"capaci... | {"states": [3, 15], "expectation_value": -2.6091337349671164, "params": [[0.0656, 0.061500000000000006, 0.0337, 0.009000000000000001], [-0.06910000000000001, -0.06280000000000001, -0.0427, -0.0297]], "bitstrings": ["111100", "110000"], "total_optimization_steps": 10, "probabilities": [0.03865611426081318, 0.04016931476... | -1.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + -1.0 * Z(1) + -0.25 * Z(0) + 1.5 * Z(4) + 0.25 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["111100", "110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.164) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(-0.0656) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(-0.1312) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.2624) q[5];
cx q[0], q[5];
cx q[4], q[5];
rz(-0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
ebbcfcc208cf37a63e8082cb5e402f3c | 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": [407, 151], "expectation_value": -63.85991989594794, "params": [0.3602, -0.1293, 0.6954, 0.0342, 0.0013000000000000002, 0.4273, -0.00030000000000000003, 0.36510000000000004, 0.6986, 0.1024, 0.2772, 0.2228, 0.7046, 0.0095, 0.6925, 0.0026000000000000003, 0.6928000000000001, -0.0444, 0.3527, -0.1357000000000000... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(4) @ Z(0)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(3) @ Z(6)) + 5.5 * (Z(8) @ Z(5)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(0)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(8)) + 19.5 * Z(1) + 7.5 * Z(0) + -3.5 * Z(2) + 17.0 * Z(4) + 3.0 * Z(5) + 3.0 * Z(6)... | 18 | 9 | 4 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["101101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3602) q[0];
rz(-0.1293) q[0];
rx(0.6954) q[1];
rz(0.0342) q[1];
rx(0.0013) q[2];
rz(0.4273) q[2];
rx(-0.0003) q[3];
rz(0.3651) q[3];
rx(0.6986) q[4];
rz(0.1024) q[4];
rx(0.2772) q[5];
rz(0.2228) q[5];
rx(0.7046) q[6];
rz(0.0095) q[6];
rx(0.6925) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input fl... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
06224520ded029e940b1fde3f5ab3e3b | 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": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [35, 42], "expectation_value": -2.9963973626076346, "params": null, "bitstrings": ["011100", "010101"], "total_optimization_steps": 23, "probabilities": [0.06635256276067618, 0.9303255856453795], "optimization_time": 16.001773595809937} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["010101", "011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[3];
ry(-1.4449) q[1];
ry(1.4417) q[4];
ry(1.4417) q[0];
cry(-1.0343) q[2], q[5];
ry(0.7003) q[2];
cry(-0.1259) q[4], q[1];
ry(-0.4549) q[5];
cry(0.4962) q[0], q[2];
cry(-0.3788) q[0], q[5];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
58ab9b57bb5d3ba1983e43d3f29bec32 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 2, "target": 1}]} | {"states": [1, 3], "expectation_value": -4.124360376889934, "params": null, "bitstrings": ["1110", "1100"], "total_optimization_steps": 10, "probabilities": [0.4168911639926725, 0.42669893022981115], "optimization_time": 3.5029125213623047} | -0.75 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -1.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(3) + 1.0 * Z(2) | 1 | 4 | 2 | {"smallest_eigenvalues": [-4.75, -4.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["1110", "1100"]} | 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(-1.5708) q[1];
cry(-1.5681) q[3], q[0];
ry(1.231) q[3];
ry(-0.6451) q[0];
cry(0.2801) q[2], q[3];
cry(-0.1165) q[2], q[0];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3]; | null | {"source": 0, "sink": 3} | {"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(-1.5708) 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];\... |
b82b2dc414aaab9ccf6bd31b1d033127 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 5},... | {"states": [2047, 1791], "expectation_value": -15.784937339352577, "params": [0.0315, 0.5809000000000001, 0.021500000000000002, 0.0044, 0.5469, 0.2906, -0.8031, 0.0051, 0.8426, 0.8849, -0.6863, 0.0048000000000000004, 0.9925, 1.6455000000000002, 0.5625, 0.0037, -0.9256000000000001, 1.8476000000000001, -0.0446, 0.0062000... | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(6)) + -2.0 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(5) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + 1.0 * (Z(10) @ Z(8)) + -2.0 * (Z(10) @ Z(7)) + -2.0 * (Z(10) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(... | 6 | 11 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["00100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0315) q[0];
rz(0.5809) q[0];
rx(0.5469) q[1];
rz(0.2906) q[1];
rx(0.8426) q[2];
rz(0.8849) q[2];
rx(0.9925) q[3];
rz(1.6455) q[3];
rx(-0.9256) q[4];
rz(1.8476) q[4];
rx(-0.9194) q[5];
rz(1.9745) q[5];
rx(-0.8877) q[6];
rz(2.0635) q[6];
rx(-0.5505) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 10} | {"circuits": [], "gradients": []} |
-3747689584630567058 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4], [0, 1, 3], [1, 3, 5], [3, 4, 7], [2, 4, 5], [0, 7], [2, 3, 7], [0, 6]]} | {"states": [107, 180], "expectation_value": -0.06513832490341556, "params": [[-0.0629], [0.0736]], "bitstrings": ["10010100", "01001011"], "total_optimization_steps": 10, "probabilities": [0.004259529459910942, 0.004284789178367053], "optimization_time": 0.7578396797180176} | 0.5 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(4... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5000000000000004, "smallest_bitstrings": ["01001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(-0.0629) q[0];
cx q[4], q[0];
cx q[0], q[1];
rz(-0.021) q[1];
cx q[0], q[1];
cx q[4], q[3];
rz(-0.021) q[3];
cx q[4], q[3];
cx q[0], q[3];
rz(-0.021) q[3];
cx q[0], q[3];
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;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[0], q[1];
rz(x1) q[1];
cx q[... | null | {"circuits": [], "gradients": []} |
0f435eed505f807fb8dc44643dfd43ce | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target"... | {"states": [20, 5], "expectation_value": -0.22198613246219037, "params": [[-0.0379, -0.050100000000000006], [0.0454, 0.0562]], "bitstrings": ["01011", "11010"], "total_optimization_steps": 10, "probabilities": [0.03424370143994593, 0.03424370143994596], "optimization_time": 2.1238176822662354} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["11010", "01011", "10011"]} | 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(-0.0379) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0379) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0379) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.0379) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.0379) 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[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... | null | {"circuits": [], "gradients": []} |
5504242329039948831 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 1, 5, 8, 10], [0, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12], [2, 3, 4, 5, 6, 8, 9, 11, 12], [1, 6, 8, 9, 11, 12], [4, 5, 7, 9, 11, 12], [3, 4, 6, 7, 9, 10], [0, 9, 3], [0, 1, 2, 4, 7, 9, 10, 11, 12], [1, 2, 3, 5, 8, 10, 11, 12], [1, 3, 12, 7], [1, 2, 5, 8,... | {"states": [5875, 5879], "expectation_value": -2.782011777448302, "params": [1.5723, 1.5759, 0.2116, 0.2071, 1.5686, 1.5767, 1.5606, 1.5747, 0.2686, 0.2777, 1.5696, 1.5667, 1.5677, 1.5802, 1.5690000000000002, 1.5678, 1.5777, 1.5678, 0.21380000000000002, 0.2054, 0.7939, 0.8171, 1.5571000000000002, 1.5805, 0.895400000000... | 0.09563492063492063 * (Z(0) @ Z(1)) + 0.12896825396825398 * (Z(5) @ Z(1)) + 0.07297979797979798 * (Z(5) @ Z(0)) + 0.1996031746031746 * (Z(8) @ Z(1)) + 0.09083694083694083 * (Z(8) @ Z(0)) + 0.13805916305916305 * (Z(8) @ Z(5)) + 0.1329365079365079 * (Z(10) @ Z(1)) + 0.09083694083694083 * (Z(10) @ Z(0)) + 0.11028138528138... | 13 | 13 | 1 | {"smallest_eigenvalues": [-3.0349567099567096], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.010930735930736, "smallest_bitstrings": ["0100100001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.5723) q[0];
ry(0.2116) q[1];
ry(1.5686) q[2];
ry(1.5606) q[3];
ry(0.2686) q[4];
ry(1.5696) q[5];
ry(1.5677) q[6];
ry(1.569) q[7];
ry(1.5777) q[8];
ry(0.2138) q[9];
ry(0.7939) q[10];
ry(1.5571) q[11];
ry(0.8954) q[12];
crz(-0.0177) q[12], q[0];
crz(-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[... | null | {"circuits": [], "gradients": []} |
b112e2ea9564e5424aa1ebbe167f5e45 | 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": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [1, 5], "expectation_value": -6.525476930491148, "params": [[[-0.0028, 0.0023], [0.0024000000000000002, 0.0031000000000000003], [-0.0026000000000000003, 0.0047], [0.0025, 0.0015], [0.0025, 0.006500000000000001], [-1.6225, 0.0019], [0.0027, 0.007500000000000001], [3.1595, 0.0028]]], "bitstrings": ["11111110",... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(4)) + 1.25 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(5)) + 0.0 * Z(1) + -0.25 * Z(0) + -0.5 * Z(3) + 1.75 * Z(5) + -1.0 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["11111010", "11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0028) q[0];
rz(0.0023) q[0];
rx(0.0024) q[1];
rz(0.0031) q[1];
rx(-0.0026) q[2];
rz(0.0047) q[2];
rx(0.0025) q[3];
rz(0.0015) q[3];
rx(0.0025) q[4];
rz(0.0065) q[4];
rx(-1.6225) q[5];
rz(0.0019) q[5];
rx(0.0027) q[6];
rz(0.0075) q[6];
rx(3.1595) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
7e799239f8573f120a2c5e15cda2e88f | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}]} | {"states": [0, 8], "expectation_value": -2.746010950493092, "params": null, "bitstrings": ["1111", "0111"], "total_optimization_steps": 8, "probabilities": [0.0039434487441986675, 0.9960271124624693], "optimization_time": 3.386984348297119} | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + -0.75 * Z(1) + -0.75 * Z(2) + -0.25 * Z(0) + -1.0 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["0111"]} | 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[3];
ry(-1.5486) q[2];
ry(-1.4449) q[1];
ry(1.4449) q[0];
cry(-0.1187) q[0], q[1];
cry(-0.021) q[0], q[2];
cry(-0.0027) q[0], q[3];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3]; | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5681) q[3];\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];\... |
8f80463061dac6ffb1ebd4107775147b | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": ... | {"states": [255, 191], "expectation_value": -4.302964673462651, "params": [[-0.14980000000000002], [0.1671]], "bitstrings": ["1100000000", "1101000000"], "total_optimization_steps": 20, "probabilities": [0.004670835980244191, 0.004892405726210436], "optimization_time": 3.7494046688079834} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + -2.5 * (Z(2) @ Z(6)) + -2.0 * (Z(2) @ Z(9)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(9)) + -2.0 * (Z(8) @ Z(2)) + -1.5 * Z(1) + -1.5 * Z(0) +... | 5 | 10 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["1101000000"]} | 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(0.4494) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.1498) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.1498) q[3];
cx q[0], q[3];
cx q[5], q[4];
rz(0.2996) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
... | {"node": 2} | {"circuits": [], "gradients": []} |
221348728401429854 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 3, 6, 7], [1, 2, 4], [0, 2, 3, 4, 7], [2, 3, 6, 7], [5, 7], [1, 5], [0, 1, 6], [0, 4, 5], [2, 3, 4, 5], [1, 3, 4]]} | {"states": [182, 241], "expectation_value": -0.04026345993851027, "params": [[0.051000000000000004], [-0.041100000000000005]], "bitstrings": ["01001001", "00001110"], "total_optimization_steps": 10, "probabilities": [0.00405381397191504, 0.004058552010931331], "optimization_time": 2.2162721157073975} | 0.25 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.25 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.21666666666666667 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.133333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.8666666666666663], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.783333333333333, "smallest_bitstrings": ["00001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[1];
rz(0.0255) q[1];
cx q[3], q[1];
cx q[3], q[6];
rz(0.017) q[6];
cx q[3], q[6];
cx q[1], q[6];
rz(0.0255) q[6];
cx q[1], q[6];
cx q[3], q[7];
rz(0.0221) q[7];
cx q[3], q[7];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"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": 16.68754005432129} | 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 | 3 | {"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... |
1553cd9c76028f01bfb10c9355aac99a | 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": 1, "target": 5}, {"source": 1, "target": 6}, {"sour... | {"states": [38, 294], "expectation_value": -4.4229930118206005, "params": [[[0.8629, 0.0019], [-0.004200000000000001, 0.46680000000000005], [0.08510000000000001, 0.4031], [0.9107000000000001, 0.0009000000000000001], [0.0723, -0.4123], [-0.0009000000000000001, -0.4612], [0.9031, -0.0011], [0.9105000000000001, 0.00090000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(8)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 *... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["011011001", "011010011", "011111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.8629) q[0];
rz(0.0019) q[0];
rx(-0.0042) q[1];
rz(0.4668) q[1];
rx(0.0851) q[2];
rz(0.4031) q[2];
rx(0.9107) q[3];
rz(0.0009) q[3];
rx(0.0723) q[4];
rz(-0.4123) q[4];
rx(-0.0009) q[5];
rz(-0.4612) q[5];
rx(0.9031) q[6];
rz(-0.0011) q[6];
rx(0.9105) 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": []} |
185f4b48e29d187effa57245dadce54c | 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": 0, "target": 4}, {"source": 0, "target": 5},... | {"states": [0, 2047], "expectation_value": -23.17389354104079, "params": [[[0.0026000000000000003, 1.6095000000000002], [0.0022, 0.0024000000000000002], [0.002, 0.002], [0.002, 0.0023], [0.0018000000000000002, 0.0022], [0.0026000000000000003, 0.0022], [0.0017000000000000001, 0.0019], [-0.0032, 0.0023], [0.0016, 0.00240... | -3.0 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + -2.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 1.0 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + -2.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -3.0 * (Z(3) @ Z(1)) + 1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -2.5... | 15 | 11 | 1 | {"smallest_eigenvalues": [-27.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.5, "smallest_bitstrings": ["00000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0026) q[0];
ry(0.0022) q[1];
ry(0.002) q[2];
ry(0.002) q[3];
ry(0.0018) q[4];
ry(0.0026) q[5];
ry(0.0017) q[6];
ry(-0.0032) q[7];
ry(0.0016) q[8];
ry(0.0016) q[9];
ry(0.0024) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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[11] c;
qubit[11] q;
ry(x0) q[0];
ry(... | {"node": 11} | {"circuits": [], "gradients": []} |
8601745197598425109 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2], [1, 3], [2, 4, 7], [8, 5], [0, 3], [8, 4], [1, 2, 6], [2, 5, 6], [8, 0, 7], [8, 1, 7], [2, 4, 5], [0, 5], [3, 6], [0, 4]]} | {"states": [107, 122], "expectation_value": -3.7546512965122623, "params": null, "bitstrings": ["110010100", "110000101"], "total_optimization_steps": 74, "probabilities": [0.07293386377830317, 0.7370134029975506], "optimization_time": 162.88084602355957} | 0.5 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.166... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.000000000000002, "smallest_bitstrings": ["110000101"]} | 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(1.5298) q[2];
cry(-1.36) q[5], q[0];
ry(1.3581) q[7];
ry(0.8013) q[5];
cry(-0.6005) q[2], q[0];
cry(1.3236) q[5], q[3];
cry(-1.4785) q[3], q[6];
cry(-1.2104) q[4], q[8];
ry(0.9267) q[4]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5298) 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] = m... |
bb51b85a8f0cca1e878093cb2d4e9f25 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [141, 236], "expectation_value": -0.14092484311576348, "params": [[0.06770000000000001, 0.0659], [-0.0661, -0.0623]], "bitstrings": ["01110010", "00010011"], "total_optimization_steps": 10, "probabilities": [0.004914349837084719, 0.005335168362690078], "optimization_time": 6.864536285400391} | 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)) + 0.125 * (Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["00010011"]} | 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(0.0169) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0169) q[0];
cx q[2], q[0];
cx q[3], q[0];
rz(0.0169) q[0];
cx q[3], q[0];
cx q[2], q[1];
rz(0.0169) q[1];
cx q[2], q[1];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | null | {"circuits": [], "gradients": []} |
936d7cf5c9c0d9de588b63bd63459921 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 6}, {"sour... | {"states": [0, 240], "expectation_value": -11.780854594659852, "params": [[[0.0026000000000000003, 0.0098], [0.0022, 0.0033], [0.0022, 0.0033], [1.6026, 0.0095], [0.0029000000000000002, 0.0038], [0.0023, 0.0083], [1.0489, 0.0015], [-0.0039000000000000003, 0.001]]], "bitstrings": ["11111111", "00001111"], "total_optimiz... | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + -2.0 * (Z(4) @ Z(6)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(1)... | 2 | 8 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["00001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0026) q[0];
rz(0.0098) q[0];
rx(0.0022) q[1];
rz(0.0033) q[1];
rx(0.0022) q[2];
rz(0.0033) q[2];
rx(1.6026) q[3];
rz(0.0095) q[3];
rx(0.0029) q[4];
rz(0.0038) q[4];
rx(0.0023) q[5];
rz(0.0083) q[5];
rx(1.0489) q[6];
rz(0.0015) q[6];
rx(-0.0039) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"node": 6} | {"circuits": [], "gradients": []} |
d4d2041cd2410ded697949cce479b1e1 | 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": 4, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 10}, {"capacity": 2, "source": 1, "target"... | {"states": [1024, 1023], "expectation_value": -19.270260143438307, "params": [[[-0.01, -0.5071], [-0.0013000000000000002, 0.005200000000000001], [-0.0015, -0.0021000000000000003], [-0.0022, -0.0024000000000000002], [-0.0012000000000000001, -0.003], [-0.0263, -0.0021000000000000003], [-0.004, 0.0026000000000000003], [-0... | -1.0 * (Z(0) @ Z(6)) + -1.0 * (Z(2) @ Z(6)) + 1.25 * (Z(2) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(3)) + -0.25 * (Z(9) @ Z(2)) + -1.0 * (Z(9) @ Z(1)) + -1.0 * (Z(9) @ Z(3)) + -0.75 * (Z(9) @ Z(7)) + -1.0 * (Z(4) @ Z... | 15 | 11 | 4 | {"smallest_eigenvalues": [-19.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.75, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.01) q[0];
ry(-0.0013) q[1];
ry(-0.0015) q[2];
ry(-0.0022) q[3];
ry(-0.0012) q[4];
ry(-0.0263) q[5];
ry(-0.004) q[6];
ry(-0.0024) q[7];
ry(-0.0019) q[8];
ry(-0.4868) q[9];
ry(0.0205) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
b93e7e87e2621c92c7ba04b041c49bf3 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [56, 41], "expectation_value": -3.9999374799845198, "params": null, "bitstrings": ["000111", "010110"], "total_optimization_steps": 26, "probabilities": [1.6356460472479446e-05, 0.9999687407489248], "optimization_time": 14.31854510307312} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + -1.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[3];
ry(-1.5681) q[4];
ry(-1.4449) q[1];
ry(1.4449) q[0];
ry(1.4417) q[5];
ry(1.4417) q[2];
cry(-0.1259) q[5], q[1];
cry(0.1218) q[0], q[2];
cry(0.1216) q[2], q[5];
cry(0.1186) q[5], q[0];
cry(-0.002... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
f20b14ccaf46fd91ed39b9c05edbe906 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target"... | {"states": [20, 24], "expectation_value": -2.9741073126594983, "params": null, "bitstrings": ["01011", "00111"], "total_optimization_steps": 14, "probabilities": [0.07397885559790421, 0.9005751935612479], "optimization_time": 6.78854513168335} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["00111", "01011", "10101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5708) q[4];
ry(-1.4449) q[3];
ry(1.4417) q[0];
cry(-1.0398) q[1], q[2];
ry(0.7022) q[1];
ry(-0.4578) q[2];
cry(0.4969) q[0], q[1];
cry(-0.3761) q[0], q[2];
cry(-0.1216) q[0], q[3];
cry(0.1097) q[1], q[0];
cry(-0.07... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
5297131974198579300 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[1, 12, 9, 7], [9, 2, 6], [3, 4, 6], [4, 6, 7, 10, 12], [1, 2, 10], [11, 5, 6], [0, 1, 2, 6, 12], [8, 9, 4, 5], [11, 12, 4, 6], [0, 3], [5, 12, 4, 6], [1, 10, 7], [4, 7, 8, 11, 12], [0, 6, 9, 11, 12], [11, 9, 3, 8], [9, 10, 12], [10, 5, 6], [1, 4, 6, ... | {"states": [5502, 5486], "expectation_value": -5.127025624780712, "params": [1.5711000000000002, 1.5658, 0.0025, 0.0025, 1.5694000000000001, 1.5767, 0.0025, 0.0025, 1.5674000000000001, 1.5690000000000002, -0.0024000000000000002, -0.0024000000000000002, 1.5656, 1.5709000000000002, 1.5717, 1.5751000000000002, 0.7618, 0.7... | 0.13333333333333333 * (Z(1) @ Z(12)) + 0.3 * (Z(9) @ Z(12)) + 0.08333333333333333 * (Z(9) @ Z(1)) + 0.18333333333333335 * (Z(7) @ Z(12)) + 0.25 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(9)) + 0.05 * (Z(2) @ Z(12)) + 0.21666666666666667 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(9)) + 0.31666666666666665 ... | 13 | 13 | 1 | {"smallest_eigenvalues": [-5.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.083333333333335, "smallest_bitstrings": ["0101010010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.5711) q[0];
ry(0.0025) q[1];
ry(1.5694) q[2];
ry(0.0025) q[3];
ry(1.5674) q[4];
ry(-0.0024) q[5];
ry(1.5656) q[6];
ry(1.5717) q[7];
ry(0.7618) q[8];
ry(1.5723) q[9];
ry(1.5853) q[10];
ry(1.582) q[11];
ry(-0.0027) q[12];
crz(0.7661) q[12], q[0];
crz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5b687254c4697e5cca87307e123dcc37 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 1, "target": 8}, {"sour... | {"states": [335, 333], "expectation_value": -4.065742308387128, "params": [1.5938, 0.009600000000000001, 0.1335, 0.0063, 1.6146, 0.0099, 0.0032, 0.0013000000000000002, -0.010100000000000001, 0.0, 1.6026, 0.009600000000000001, 1.6051, 0.0064, 1.5597, 0.0095, 1.6106, 0.0033, 0.0079, 0.0011, 0.0039000000000000003, 0.0022,... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(7) + -1.0 * Z(1) + ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["010110010", "110110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.5938) q[0];
rz(0.0096) q[0];
rx(0.1335) q[1];
rz(0.0063) q[1];
rx(1.6146) q[2];
rz(0.0099) q[2];
rx(0.0032) q[3];
rz(0.0013) q[3];
rx(-0.0101) q[4];
rz(0) q[4];
rx(1.6026) q[5];
rz(0.0096) q[5];
rx(1.6051) q[6];
rz(0.0064) q[6];
rx(1.5597) q[7];
rz(0.0095... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
7bc4dde9a09d0b94c5097b219891d81a | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [3447, 3443], "expectation_value": -5.462335047183331, "params": [3.1457, 0.006200000000000001, 2.3317, 0.003, 1.0836000000000001, 0.0027, 3.1478, 0.0081, 1.247, 0.0039000000000000003, 3.1373, 0.0034000000000000002, 2.7202, 0.0037, 3.1413, 0.0014, 1.2525000000000002, 0.0047, 1.5270000000000001, 0.00520000000... | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(3)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * ... | 18 | 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], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -6.0, "smallest_bitstrings": ["010010100001", "010100010001", "100100010001", "001100001010", "100100001010", "100010100001", "100001100010", "001001010100", "... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(3.1457) q[0];
rz(0.0062) q[0];
rx(2.3317) q[1];
rz(0.003) q[1];
rx(1.0836) q[2];
rz(0.0027) q[2];
rx(3.1478) q[3];
rz(0.0081) q[3];
rx(1.247) q[4];
rz(0.0039) q[4];
rx(3.1373) q[5];
rz(0.0034) q[5];
rx(2.7202) q[6];
rz(0.0037) q[6];
rx(3.1413) 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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
629064d27778679294f16fb68c627d78 | 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": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.6899403411932398, "params": [[0.07100000000000001, 0.08020000000000001], [-0.059000000000000004, -0.0781]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.007188473313109306, 0.007597836753996945], "optimization_time": 3.4651260... | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "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];
cx q[2], q[0];
rz(-0.0355) q[0];
cx q[2], q[0];
cx q[2], q[6];
rz(-0.0355) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(-0.0355) q[6];
cx q[0], q[6];
cx q[2], q[7];
rz(-0.071) q[7];
cx q[2], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
a61196a27e9d77181b30595d54711c88 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "s... | {"states": [510, 1], "expectation_value": -0.0027691328415379024, "params": [[0.005], [-0.0021000000000000003]], "bitstrings": ["000000001", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0019557517794792523, 0.001956168927334053], "optimization_time": 2.7277767658233643} | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + -1.0 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(0)) + -1.75 * (Z(7) @ Z(3)) + 2.25 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(8)) + -1.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(6) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.005) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0125) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0125) q[3];
cx q[0], q[3];
cx q[2], q[7];
rz(-0.01) q[7];
cx q[2], q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
4788755b9046cb997ec5043a21f8c9e6 | 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": 11, "source": 0, "target": 7}, {"weight": 13, "source": 0, "target": 4}, {"weight": 17, "source": 1, "tar... | {"states": [252, 236], "expectation_value": -23.19455819591301, "params": [[-0.027700000000000002, 0.0051], [0.06760000000000001, 0.058100000000000006]], "bitstrings": ["100000011", "100010011"], "total_optimization_steps": 10, "probabilities": [0.005013698737513458, 0.006071596373136962], "optimization_time": 4.025037... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-98.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.0, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.2493) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.2493) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.2493) q[1];
cx q[0], q[1];
cx q[0], q[3];
rz(-0.2493) q[3];
cx q[0], 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": []} |
3320932589923452721 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [3, 5], [1, 6], [1, 5], [1, 7], [3, 6], [0, 4], [0, 6], [5, 6], [2, 6], [1, 2], [3, 7], [4, 5]]} | {"states": [88, 90], "expectation_value": -0.3960409760806583, "params": [0.6987, 0.0021000000000000003, 0.6987, 0.00030000000000000003, 0.6953, 0.0019, 0.6949000000000001, 0.0025, 0.6975, 0.0027, 0.6933, 0.0001, 0.7003, 0.0014, 0.7079000000000001, 0.0099, 0.7042, 0.0014, 0.7044, 0.0049, 0.7047, 0.0013000000000000002, ... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(... | 6 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["01011010", "10100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.6987) q[0];
rz(0.0021) q[0];
rx(0.6953) q[1];
rz(0.0019) q[1];
rx(0.6975) q[2];
rz(0.0027) q[2];
rx(0.7003) q[3];
rz(0.0014) q[3];
rx(0.7042) q[4];
rz(0.0014) q[4];
rx(0.7047) q[5];
rz(0.0013) q[5];
rx(0.6984) q[6];
rz(0.0023) q[6];
rx(0.7013) 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": []} |
a91613587e2e3ed31c854337981da9dd | 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": 1}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, ... | {"states": [127, 1], "expectation_value": -0.8050068756688852, "params": [[-0.028, -0.003, -0.0461, -0.030600000000000002], [0.0585, 0.0061, 0.0405, 0.030100000000000002]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.006055028602055133, 0.006197258053237167], "optimizatio... | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -1.25 * (Z(5) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(7) + -1.25 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) + -... | 1 | 8 | 4 | {"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["11111110", "11111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
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(0.014) q[0];
cx q[1], q[0];
cx q[0], q[7];
rz(-0.028) q[7];
cx q[0], q[7];
cx q[1], q[2];
rz(0.07) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(0.014) q[3];
cx q[1], q[3];
cx q[2], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
da1b1c85f8e653b867f6f4bdba638afa | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [4073, 3049], "expectation_value": -2.3142779458520106, "params": [[[0.49910000000000004, 0.0944], [0.37560000000000004, 0.1081], [0.5995, 0.3794], [0.5978, 0.43210000000000004], [0.604, 0.5429], [0.5982000000000001, 0.562], [0.3785, 0.49420000000000003], [0.052500000000000005, 0.3106], [0.5454, 0.5894], [-0... | 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)) + 0.0625 * (... | 15 | 12 | 4 | {"smallest_eigenvalues": [-4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -3.125, "smallest_bitstrings": ["001000110100", "000110010010", "000100111000", "000100011010", "000100010110", "010100010010", "010000010110",... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.4991) q[0];
ry(0.3756) q[1];
ry(0.5995) q[2];
ry(0.5978) q[3];
ry(0.604) q[4];
ry(0.5982) q[5];
ry(0.3785) q[6];
ry(0.0525) q[7];
ry(0.5454) q[8];
ry(-0.0097) q[9];
ry(0.6006) q[10];
ry(0.1556) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
2d02f35370a8769eaaa03bbd3e88b224 | 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": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [108, 75], "expectation_value": -0.243267457710295, "params": [[0.0627, -0.019700000000000002, -0.051300000000000005], [-0.07100000000000001, -0.0347, 0.024900000000000002]], "bitstrings": ["0010011", "0110100"], "total_optimization_steps": 10, "probabilities": [0.009107062767405163, 0.009282566737241807], "... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * Z(2) + 0.0 * Z(0) + -1.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["0110100", "0010011", "0010110"]} | 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(0.0627) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(0.0627) q[5];
cx q[2], q[5];
cx q[5], q[1];
rz(0.0627) q[1];
cx q[5], q[1];
cx q[2], q[3];
rz(0.0627) q[3];
cx q[2], q[3];
cx q[2], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
0af011a3e3efdc768bc04ec8158153df | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "ta... | {"states": [112, 113], "expectation_value": -3.4233837347558507, "params": [1.4935, 0.0013000000000000002, 1.5014, 0.0012000000000000001, 1.5046000000000002, 0.0011, 1.5143, 0.0032, 0.7144, -0.009300000000000001, -0.0109, -0.007500000000000001, 0.8568, 0.0032, 1.508, 0.0027, -1.4876, 1.4897, 1.497, -1.4804000000000002,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * Z(1) + 0.0 * Z(0) + -2.0 * Z(5) + -1.0 * Z(6) + -0.5 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) + 0.0... | 4 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["01001110", "10001110", "01001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.4935) q[0];
rz(0.0013) q[0];
rx(1.5014) q[1];
rz(0.0012) q[1];
rx(1.5046) q[2];
rz(0.0011) q[2];
rx(1.5143) q[3];
rz(0.0032) q[3];
rx(0.7144) q[4];
rz(-0.0093) q[4];
rx(-0.0109) q[5];
rz(-0.0075) q[5];
rx(0.8568) q[6];
rz(0.0032) q[6];
rx(1.508) 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": []} |
9d618b5a9b1ff0c9d22bf2307d2539f6 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "ta... | {"states": [2012, 988], "expectation_value": -1.7584871830208748, "params": [[[0.4934, -0.093], [0.6973, -0.001], [0.7000000000000001, 0.0015], [0.7080000000000001, 0.0019], [0.7029000000000001, -0.0017000000000000001], [0.22970000000000002, 0.2222], [0.5772, -0.0002], [0.6415000000000001, 0.0014], [0.7014, -0.0015], [... | 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 | 11 | 3 | {"smallest_eigenvalues": [-4.3125, -4.3125, -4.3125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.3125, "smallest_bitstrings": ["00001011001", "10000100011", "00010100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.4934) q[0];
rz(-0.093) q[0];
rx(0.6973) q[1];
rz(-0.001) q[1];
rx(0.7) q[2];
rz(0.0015) q[2];
rx(0.708) q[3];
rz(0.0019) q[3];
rx(0.7029) q[4];
rz(-0.0017) q[4];
rx(0.2297) q[5];
rz(0.2222) q[5];
rx(0.5772) q[6];
rz(-0.0002) q[6];
rx(0.6415) 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": []} |
574f37e8ebeb372ca7f28db174f5ec6a | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 3}, {"weight": 16, "source": 0, "target": 5}, {"weight": 20, "source": 1, "tar... | {"states": [374, 230], "expectation_value": -19.58909012790863, "params": [[0.034800000000000005, 0.011600000000000001], [-0.0697, -0.0656]], "bitstrings": ["010001001", "100011001"], "total_optimization_steps": 10, "probabilities": [0.00684886922488606, 0.008346979287744565], "optimization_time": 3.5005788803100586} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 12.5 * Z(1) + 8.5 * Z(0) + 17.0 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-83.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.5, "smallest_bitstrings": ["100011001"]} | 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(0.3132) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3132) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3132) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.3132) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
182a069273641020dc26595ce4905930 | 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": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 1, "target": 3}, ... | {"states": [14, 76], "expectation_value": -3.99623714706493, "params": null, "bitstrings": ["1110001", "0110011"], "total_optimization_steps": 26, "probabilities": [0.06706855356024753, 0.9294631320333304], "optimization_time": 24.554619789123535} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + -0.5 * Z(5) + -1.5 * Z(6) + -1.0 * Z(1) + -0.5 * Z(4) + 0.0 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1100011", "0110011", "1110100", "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];
ry(-1.5708) q[6];
ry(-1.4449) q[2];
ry(-1.4449) q[1];
ry(1.4417) q[3];
ry(1.4417) q[4];
cry(-1.0398) q[0], q[5];
ry(0.6944) q[0];
cry(-0.1259) q[4], q[1];
ry(-0.451) q[5];
cry(0.4963) q[4], q[0];
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(-1.5708) 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", ... |
8565743845165080816 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 4, 6, 8, 11], [8, 0, 3, 4], [0, 1, 6, 8, 9], [3, 4, 6, 8, 9, 10], [0, 3, 10, 2], [1, 4, 9], [8, 1, 3, 4], [2, 5], [8, 3, 11, 5], [3, 2, 11, 7], [8, 3, 11, 6], [10, 11], [0, 1, 3, 5, 7], [8, 0, 10], [0, 1, 4, 5, 7]]} | {"states": [3454, 1406], "expectation_value": -3.375430688071594, "params": [[[1.524, 0.0022, 0.0054, 0.002], [0.002, -0.28700000000000003, 1.5728, 0.0053], [0.0023, 0.0076, 0.005200000000000001, 0.0085], [1.0432000000000001, 0.0023, 1.0529, 0.0013000000000000002], [0.0021000000000000003, 0.0064, 0.0039000000000000003,... | 0.35 * (Z(1) @ Z(4)) + 0.08333333333333334 * (Z(6) @ Z(4)) + 0.1 * (Z(6) @ Z(1)) + 0.25 * (Z(8) @ Z(4)) + 0.18333333333333335 * (Z(8) @ Z(1)) + 0.21666666666666667 * (Z(8) @ Z(6)) + 0.05 * (Z(11) @ Z(4)) + 0.05 * (Z(11) @ Z(1)) + 0.13333333333333333 * (Z(11) @ Z(6)) + 0.21666666666666667 * (Z(11) @ Z(8)) + 0.1333333333... | 12 | 12 | 1 | {"smallest_eigenvalues": [-3.8833333333333337], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.8666666666666654, "smallest_bitstrings": ["101010000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.524) q[0];
rz(0.0022) q[0];
ry(0.002) q[1];
rz(-0.287) q[1];
ry(0.0023) q[2];
rz(0.0076) q[2];
ry(1.0432) q[3];
rz(0.0023) q[3];
ry(0.0021) q[4];
rz(0.0064) q[4];
ry(0.4515) q[5];
rz(-0.003) q[5];
ry(2.7895) q[6];
rz(0.0057) q[6];
ry(-0.0033) 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": []} |
875e5740880a0d262105a74a2ea75384 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 4}, {"source": 1, "target": 7}, {"source": 2, "target": 6}, {"source": 3, "ta... | {"states": [120, 124], "expectation_value": -2.477966689320108, "params": [0.1165, 0.1406, 0.11420000000000001, 0.1403, 0.3995, 0.0021000000000000003, 0.4068, 0.0045000000000000005, 0.4048, -0.0008, 0.40040000000000003, -0.0004, 0.40340000000000004, -0.0005, 0.39790000000000003, -0.0028, 0.4081, -0.001, 0.3993000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(6) + 0.0 * Z(4) + -1.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(5) | 7 | 8 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["10000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.1165) q[0];
rz(0.1406) q[0];
rx(0.3995) q[1];
rz(0.0021) q[1];
rx(0.4048) q[2];
rz(-0.0008) q[2];
rx(0.4034) q[3];
rz(-0.0005) q[3];
rx(0.4081) q[4];
rz(-0.001) q[4];
rx(0.399) q[5];
rz(0.0011) q[5];
rx(-0.0001) q[6];
rz(0.2037) q[6];
rx(0.1219) 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": []} |
2a895515d0a8eaf1b57b7d486fef5b85 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [1, 3], "expectation_value": -23.98075595248922, "params": [[[0.1826, 0.321], [0.6234000000000001, -0.0034000000000000002], [0.1716, 0.3239], [0.1761, -0.3221], [0.1752, -0.3236], [0.802, -0.002], [0.8014, 0.004200000000000001]], [[0.1787, 0.001], [0.6227, 0.0059], [0.1763, 0.0049], [0.1777, 0.00520000000000... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + 2... | 1 | 7 | 2 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.1826) q[0];
rz(0.321) q[0];
rx(0.6234) q[1];
rz(-0.0034) q[1];
rx(0.1716) q[2];
rz(0.3239) q[2];
rx(0.1761) q[3];
rz(-0.3221) q[3];
rx(0.1752) q[4];
rz(-0.3236) q[4];
rx(0.802) q[5];
rz(-0.002) q[5];
rx(0.8014) q[6];
rz(0.0042) q[6];
rx(0.1787) q[0];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
d92b7c12d97dc605feea13254bd8dff9 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [41, 9], "expectation_value": -1.5382930923808678, "params": [[-0.059300000000000005, -0.0656, -0.0438, -0.0666], [0.0606, 0.0721, 0.058300000000000005, 0.0634]], "bitstrings": ["1010110", "1110110"], "total_optimization_steps": 10, "probabilities": [0.022173043793950166, 0.02226451888888236], "optimization_... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(5) @ Z(2)) + 0.0 * Z(1) + -0.25 * Z(0) + -1.0 * Z(2) + -0.75 * Z(4) + 0.75 * Z(6) + 0.75 * Z(3) + 0.5 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["1110110", "1110100", "1010100", "1010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0593) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0593) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(0.0593) q[4];
cx q[0], q[4];
cx q[2], q[4];
rz(0.0593) q[4];
cx q[2], q[4];
cx q[1], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
0714803fc241e2360d666ed1e871e287 | 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": 1, "target": 2}, {"source": 3, "target": 4}, {"source": ... | {"states": [0, 383], "expectation_value": -8.529774150965226, "params": [0.0037, 1.3506, 0.0037, 0.0076, 0.5131, 0.115, -0.6879000000000001, 0.0055000000000000005, 0.001, 1.038, 0.001, 0.0083, 0.7587, 0.1897, -0.6, 0.0007, 0.8723000000000001, 0.6621, -0.7554000000000001, 0.004200000000000001, -0.8383, 0.8202, 0.0551, 0... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(1) + 0.5 * Z(9) | 6 | 10 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1010000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0037) q[0];
rz(1.3506) q[0];
rx(0.5131) q[1];
rz(0.115) q[1];
rx(0.001) q[2];
rz(1.038) q[2];
rx(0.7587) q[3];
rz(0.1897) q[3];
rx(0.8723) q[4];
rz(0.6621) q[4];
rx(-0.8383) q[5];
rz(0.8202) q[5];
rx(-0.8839) q[6];
rz(1.1557) q[6];
rx(0.9405) q[7];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 1} | {"circuits": [], "gradients": []} |
3991188741565982595 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 3, 6, 7], [0, 4], [1, 6], [2, 6], [2, 5]]} | {"states": [29, 31], "expectation_value": -1.983272111857319, "params": null, "bitstrings": ["111100010", "111100000"], "total_optimization_steps": 80, "probabilities": [0.18230821727393756, 0.2861102864955857], "optimization_time": 148.17777276039124} | 0.08333333333333333 * (Z(8) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.12... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["111000001", "111100000", "111000010", "011010010", "000011100", "011010001", "011110000", "100001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(-1.0342) q[6], q[2];
ry(0.9138) q[6];
cry(-1.367) q[6], q[1];
cry(-0.7843) q[5], q[2];
cry(1.1647) q[6], q[5];
cry(0.3165) q[5], q[6];
ry(-0.355) q[2];
cry(-1.0342) q[4], q[0];
ry(0.70... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[6], q[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... |
d8c959a00da600e8fbae4f9fb196848f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [344, 342], "expectation_value": -3.0089810935076535, "params": [[[0.4138, 0.0117, 0.0061, 0.0045000000000000005], [0.09920000000000001, -0.0246, 0.9914000000000001, 0.0453], [1.0014, -0.031100000000000003, 0.2417, 0.42660000000000003], [0.5905, 0.0862, 1.0022, -0.0453], [0.9455, 0.2861, 0.1471, -0.5698], [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(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0.06... | 11 | 9 | 2 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.5625, "smallest_bitstrings": ["010101001", "100101001", "110001001", "010011001", "001101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.4138) q[0];
rz(0.0117) q[0];
ry(0.0992) q[1];
rz(-0.0246) q[1];
ry(1.0014) q[2];
rz(-0.0311) q[2];
ry(0.5905) q[3];
rz(0.0862) q[3];
ry(0.9455) q[4];
rz(0.2861) q[4];
ry(0.3363) q[5];
rz(-0.3521) q[5];
ry(1.0035) q[6];
rz(0.703) q[6];
ry(1.0073) 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": []} |
d1e337a2e105918e8c64bf021321a2d3 | 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": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 6}, {"source": 5, "target": 6}]} | {"states": [61, 60], "expectation_value": -9.12950611063679, "params": [[[-0.0021000000000000003, 2.7103], [-0.0023, 0.002], [-0.0033, -0.0027], [-0.0021000000000000003, -0.0033], [1.6415000000000002, 1.6420000000000001], [0.0023, -0.9623]]], "bitstrings": ["000010", "000011"], "total_optimization_steps": 330, "probabi... | -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)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + -1.0 * Z(5) + -1.0 * Z(4) | 15 | 6 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(-0.0021) q[0];
ry(-0.0023) q[1];
ry(-0.0033) q[2];
ry(-0.0021) q[3];
ry(1.6415) q[4];
ry(0.0023) q[5];
cx q[5], q[0];
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(2.7103) q[0];
ry(0.002) q[1];
ry(-0.0027) q[2];
ry(-0.0033) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x0) q[3];
ry(x3) q... | {"node": 6} | {"circuits": [], "gradients": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target"... | {"states": [9, 3], "expectation_value": -7.0781618393635375, "params": null, "bitstrings": ["10110", "11100"], "total_optimization_steps": 29, "probabilities": [0.1350325569531364, 0.6529765755302799], "optimization_time": 30.14920663833618} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -3.0 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 11 | 5 | 4 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "11001", "10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5709) q[0];
cry(-1.5708) q[4], q[2];
cry(-1.5693) q[3], q[1];
ry(0.9836) q[4];
ry(-0.3652) q[2];
ry(0.7038) q[3];
ry(-0.2773) q[1];
cry(0.2734) q[4], q[3];
cry(-0.1886) q[4], q[1];
cry(-0.1076) q[3], q[2];
cry(0.23... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5709) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
a90bff6c3a417e74e2fa1e262b24b3f8 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [58, 42], "expectation_value": -3.104125055012852, "params": [-0.0031000000000000003, 0.3768, -0.0017000000000000001, 0.38370000000000004, 0.4746, 0.0777, 0.4778, 0.10070000000000001, 0.4102, 0.232, 0.3048, 0.2472, 0.4696, 0.1759, 0.4405, 0.22240000000000001, 0.00030000000000000003, 0.2866, 0.005800000000000... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(0) + -0.25 * Z(1) + 0.0 * Z(2) + -0.25 * Z(3)... | 7 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["1101001", "1010101", "1100101", "1001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0031) q[0];
rz(0.3768) q[0];
rx(0.4746) q[1];
rz(0.0777) q[1];
rx(0.4102) q[2];
rz(0.232) q[2];
rx(0.4696) q[3];
rz(0.1759) q[3];
rx(0.0003) q[4];
rz(0.2866) q[4];
rx(0.5003) q[5];
rz(0.0094) q[5];
rx(-0.0008) q[6];
rz(0.3295) q[6];
crz(-0.0688) 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": []} |
b2c25a19a038d07471a5450910ba4971 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [3, 10], "expectation_value": -0.038393327863213526, "params": [[-0.050300000000000004], [0.0551]], "bitstrings": ["11100", "10101"], "total_optimization_steps": 10, "probabilities": [0.03246519148114615, 0.03247036056678639], "optimization_time": 2.0128681659698486} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -1.0 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.25, "smallest_bitstrings": ["11100", "11010", "11001", "10101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[1];
rz(-0.0503) q[1];
cx q[2], q[1];
cx q[3], q[0];
rz(-0.0503) q[0];
cx q[3], q[0];
cx q[4], q[1];
rz(-0.0503) q[1];
cx q[4], q[1];
cx q[2], q[3];
rz(-0.0252) q[3];
cx q[2], q[3];
cx q[2], q[4];
rz(-0.0252) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[4], q[1];... | null | {"circuits": [], "gradients": []} |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [9, 35], "expectation_value": -1.5166264610157691, "params": [[0.0641, 0.07100000000000001, 0.0631, 0.0758], [-0.054700000000000006, -0.0718, -0.057300000000000004, -0.0683]], "bitstrings": ["110110", "011100"], "total_optimization_steps": 10, "probabilities": [0.031322287806568025, 0.03502496875131039], "op... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011100"]} | 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(0.0641) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0641) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0641) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0641) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0641... | OPENQASM 3.0;
include "stdgates.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": []} |
3e42efb2707d5b93c2b859a7156ab33f | 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": [363, 357], "expectation_value": -68.80970520701644, "params": [[[1.0016, 0.5168], [-0.314, 0.5726], [1.0062, 0.6093000000000001], [0.5349, 0.9136000000000001], [0.7672, 0.756], [0.3819, 0.33080000000000004], [0.56, 0.9896], [0.2427, 0.8132], [0.035, 1.0062], [0.25730000000000003, 0.9393], [-0.5544, 0.619300... | 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(0) @ Z(8)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(10) @ Z(2)) + 7.0 * (Z(10) @ Z(4)) + 7.0 * (Z(10) @ Z(6)) + 7.0 * (Z(9) @ Z(10)) + 23.5 * Z(2) + -2.5 * Z(1) + 24... | 15 | 11 | 2 | {"smallest_eigenvalues": [-130.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -111.0, "smallest_bitstrings": ["11010011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.0016) q[0];
ry(-0.314) q[1];
ry(1.0062) q[2];
ry(0.5349) q[3];
ry(0.7672) q[4];
ry(0.3819) q[5];
ry(0.56) q[6];
ry(0.2427) q[7];
ry(0.035) q[8];
ry(0.2573) q[9];
ry(-0.5544) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
9ccd9f6529d5a9ac74541f04b00ec686 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "s... | {"states": [0, 1], "expectation_value": -10.291557756705213, "params": [0.0017000000000000001, 0.0064, 0.0023, 0.0027, 0.0022, 0.0086, 0.0023, 0.003, 0.0026000000000000003, 0.0002, 0.0024000000000000002, 0.0036000000000000003, 0.0024000000000000002, 0.0015, 0.0026000000000000003, 0.0091, 1.5985, 0.0097, 0.0069000000000... | -0.75 * (Z(0) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(6)) + -0.75 * (Z(1) @ Z(7)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(4) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-11.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0017) q[0];
rz(0.0064) q[0];
rx(0.0023) q[1];
rz(0.0027) q[1];
rx(0.0022) q[2];
rz(0.0086) q[2];
rx(0.0023) q[3];
rz(0.003) q[3];
rx(0.0026) q[4];
rz(0.0002) q[4];
rx(0.0024) q[5];
rz(0.0036) q[5];
rx(0.0024) q[6];
rz(0.0015) q[6];
rx(0.0026) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
1d90f6c59bdc244a93b2d39d285f8ffc | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 4}, {"weight": 19, "source": 0, "target": 3}, {"weight": 1, "source... | {"states": [198, 214], "expectation_value": -37.86921302769991, "params": null, "bitstrings": ["100111001", "100101001"], "total_optimization_steps": 100, "probabilities": [0.08535207575818739, 0.2148585023501647], "optimization_time": 147.94011187553406} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) @ Z(7)) + 19.5 * Z(1) + 1.5 * Z(0) + 14.0 * Z(2) + 0.5 * Z(3) + 9.... | 1 | 9 | 2 | {"smallest_eigenvalues": [-84.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "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];
ry(9.9081) q[1];
ry(39.4919) q[2];
cry(-34.431) q[2], q[1];
ry(37.6583) q[6];
cry(16.8466) q[2], q[6];
ry(-29.6344) q[7];
cry(62.1254) q[7], q[1];
ry(5.0164) q[4];
cry(9.3575) q[8], q[1];
... | null | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"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(9.9081) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
bba2e06053fa3c8a9a710a4bd3703eb1 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [48, 51], "expectation_value": -5.499934084013951, "params": null, "bitstrings": ["1001111", "1001100"], "total_optimization_steps": 33, "probabilities": [1.3834661288391691e-05, 0.9999481826822721], "optimization_time": 39.93609952926636} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(6) + -1.0 * Z(3) + 0.0 * Z(2) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1001100"]} | 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[0];
ry(-1.5681) q[4];
ry(-1.5681) q[3];
ry(1.4449) q[2];
ry(1.4449) q[1];
ry(1.4449) q[6];
ry(1.4449) q[5];
cry(0.1187) q[5], q[6];
cry(0.1188) q[6], q[2];
cry(0.1188) q[2], q[1];
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[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", ... |
9a44f437194a4879d426f5b6a5686299 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [5, 7], "expectation_value": -13.722012818568707, "params": [[[0.2561, 0.1874], [0.2325, 0.186], [0.2667, 0.189], [0.2619, -0.1874], [0.2227, 0.18630000000000002], [0.5941000000000001, 0.0016], [0.5903, 0.0022], [0.5957, 0.0008]], [[0.2579, 0.1874], [0.2295, 0.186], [0.26580000000000004, -0.1889], [0.2665, -... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 1 | 8 | 3 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.2561) q[0];
rz(0.1874) q[0];
rx(0.2325) q[1];
rz(0.186) q[1];
rx(0.2667) q[2];
rz(0.189) q[2];
rx(0.2619) q[3];
rz(-0.1874) q[3];
rx(0.2227) q[4];
rz(0.1863) q[4];
rx(0.5941) q[5];
rz(0.0016) q[5];
rx(0.5903) q[6];
rz(0.0022) q[6];
rx(0.5957) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
87c3ced1ef7832360d99a2d1828a4d93 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [37, 10], "expectation_value": -0.5153236938272503, "params": [[-0.0337, -0.0745], [0.0268, 0.06570000000000001]], "bitstrings": ["011010", "110101"], "total_optimization_steps": 10, "probabilities": [0.018575683101428618, 0.01880754825854325], "optimization_time": 2.917782783508301} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["111010", "011011", "110101", "110011"]} | 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(-0.0337) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0337) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0337) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.0337) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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 ... | null | {"circuits": [], "gradients": []} |
a65a8f132e9e11ca587f1073a44b14e3 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "s... | {"states": [0, 1], "expectation_value": -13.922175743081603, "params": [0.0, -0.2146, 0.0024000000000000002, -0.2066, -0.0015, -0.217, -0.0038, -0.22060000000000002, -0.0067, -0.1502, -0.0019, -0.19640000000000002, -0.0039000000000000003, -0.21580000000000002, -0.0031000000000000003, -0.21280000000000002, -0.0025, -0.2... | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -1.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(6)) + -1.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(7... | 5 | 9 | 3 | {"smallest_eigenvalues": [-15.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.75, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0) q[0];
rz(-0.2146) q[0];
rx(-0.0015) q[1];
rz(-0.217) q[1];
rx(-0.0067) q[2];
rz(-0.1502) q[2];
rx(-0.0039) q[3];
rz(-0.2158) q[3];
rx(-0.0025) q[4];
rz(-0.2155) q[4];
rx(-0.0043) q[5];
rz(-0.2201) q[5];
rx(-0.0054) q[6];
rz(-0.2007) q[6];
rx(-0.0069) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
1112b0dec061057078ea030647c16ef8 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"sour... | {"states": [98, 114], "expectation_value": -4.521852913386326, "params": [-0.0026000000000000003, 0.0091, 0.0039000000000000003, 0.0026000000000000003, 1.6135000000000002, 0.0037, 1.6047, 0.0034000000000000002, 1.6019, 0.0031000000000000003, 1.4393, 0.0022, -0.0012000000000000001, 0.0007, 1.6085, 0.0058000000000000005,... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(4) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["110100101", "110001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0026) q[0];
rz(0.0091) q[0];
rx(0.0039) q[1];
rz(0.0026) q[1];
rx(1.6135) q[2];
rz(0.0037) q[2];
rx(1.6047) q[3];
rz(0.0034) q[3];
rx(1.6019) q[4];
rz(0.0031) q[4];
rx(1.4393) q[5];
rz(0.0022) q[5];
rx(-0.0012) q[6];
rz(0.0007) q[6];
rx(1.6085) 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": []} |
ae38f088eb7d13f4a1aaeed7b82ca76a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5... | {"states": [19, 1], "expectation_value": -15.28160671909044, "params": null, "bitstrings": ["1101100", "1111110"], "total_optimization_steps": 28, "probabilities": [0.1492731531067702, 0.8377857041610112], "optimization_time": 26.3904550075531} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(3)) + -1.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(4)) + -1.25 * (Z(1) @ Z(2)) + -1.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.25 * (Z(6) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-16.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "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];
cry(1.5708) q[5], q[2];
ry(1.5708) q[6];
cry(-1.5708) q[6], q[0];
cry(-1.5708) q[6], q[4];
ry(-1.5708) q[3];
ry(-1.5708) q[1];
ry(-1.4056) q[2];
ry(-1.2553) q[5];
cry(-0.801) q[6], q[2];
cry(-0.017) q[6],... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5708) q[5], 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]... |
142702368439992266 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 4], [1, 2, 3, 6], [1, 2, 4], [0, 2, 5], [1, 3, 4, 6]]} | {"states": [120, 93], "expectation_value": -0.6006931764611878, "params": [[-0.3335], [0.32580000000000003]], "bitstrings": ["0000111", "0100010"], "total_optimization_steps": 40, "probabilities": [0.01530993587720488, 0.01560832164496409], "optimization_time": 2.317058801651001} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.41666666666666663 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(3) @ Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.4166666666666663, "smallest_bitstrings": ["0100010"]} | 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(-0.1112) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.2779) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.1112) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(-0.1668) q[2];
cx q[1], q[2];
cx q[0], q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
c... | null | {"circuits": [], "gradients": []} |
-8132906901157302131 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 4, 5, 7], [1, 2, 3, 4, 6], [0, 1, 3, 4], [0, 1, 6, 7], [1, 2, 6, 7], [2, 3, 4, 5, 6], [1, 3, 4, 5, 7]]} | {"states": [219, 187], "expectation_value": -0.9204147294012508, "params": [0.9973000000000001, 0.0037, 0.9912000000000001, 0.004200000000000001, 0.9907, 0.0032, 0.9879, 0.009600000000000001, 0.9926, -0.0036000000000000003, 0.9887, 0.0019, 0.995, -0.0029000000000000002, 0.992, 0.0095, 1.0027000000000001, 0.0004, 0.9976... | 0.05 * (Z(0) @ Z(2)) + 0.15000000000000002 * (Z(4) @ Z(2)) + 0.13333333333333333 * (Z(4) @ Z(0)) + 0.1 * (Z(5) @ Z(2)) + 0.05 * (Z(5) @ Z(0)) + 0.15000000000000002 * (Z(5) @ Z(4)) + 0.13333333333333333 * (Z(7) @ Z(2)) + 0.13333333333333333 * (Z(7) @ Z(0)) + 0.1 * (Z(7) @ Z(4)) + 0.1 * (Z(7) @ Z(5)) + 0.1333333333333333... | 6 | 8 | 1 | {"smallest_eigenvalues": [-1.5500000000000003, -1.5500000000000003], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5499999999999998, "smallest_bitstrings": ["00001001", "01000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.9973) q[0];
rz(0.0037) q[0];
rx(0.9907) q[1];
rz(0.0032) q[1];
rx(0.9926) q[2];
rz(-0.0036) q[2];
rx(0.995) q[3];
rz(-0.0029) q[3];
rx(1.0027) q[4];
rz(0.0004) q[4];
rx(0.9959) q[5];
rz(-0.0047) q[5];
rx(0.9916) q[6];
rz(-0.0053) q[6];
rx(0.9922) 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": []} |
b0b269dd9f10ed56ad7d2febbade41b5 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "... | {"states": [127, 3199], "expectation_value": -1.437135183897622, "params": [[0.07680000000000001], [-0.068]], "bitstrings": ["111110000000", "001110000000"], "total_optimization_steps": 10, "probabilities": [0.0004805778000222629, 0.0004999364128317257], "optimization_time": 2.4049460887908936} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + -2.0 * (Z(11) @ Z(9)) + -2.0 * (Z(11) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + -2.0 * (Z(10) @ Z(11)) + 0.5 * Z(1) + 0.5 *... | 1 | 12 | 1 | {"smallest_eigenvalues": [-25.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["001110000000"]} | 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(-0.1536) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.3072) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(-0.3072) q[4];
cx q[3], q[4];
cx q[2], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[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[3], q[2];
rz... | {"node": 2} | {"circuits": [], "gradients": []} |
b6970197be7c727980a1d311f0e08f0f | 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": [615, 613], "expectation_value": -106.1970860804762, "params": [-0.0006000000000000001, 0.5115000000000001, 0.7895000000000001, 0.0521, 0.0119, 0.4157, 0.0021000000000000003, 0.599, 0.7923, 0.016900000000000002, 0.7913, -0.0066, 0.1592, 0.43210000000000004, -0.0023, 0.4753, 0.7842, 0.0234, 0.3422, 0.2718, 0.... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(4) @ Z(6)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(9) @ Z(4)) + 7.0 * (Z(9) @ Z(8)) + 7.0 * (Z(10) @ Z(2)) + 7.0 * (Z(10) @ Z(8)) + 7.0 * (Z(10) @ Z(9)) + 9.5 * Z(1) + -4.5 * Z(0) + 0.5 * Z(2) + 3.0 * Z(6) + 7.0 * Z(5) + 15.5 * Z(... | 16 | 11 | 4 | {"smallest_eigenvalues": [-113.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -105.5, "smallest_bitstrings": ["10110011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0006) q[0];
rz(0.5115) q[0];
rx(0.7895) q[1];
rz(0.0521) q[1];
rx(0.0119) q[2];
rz(0.4157) q[2];
rx(0.0021) q[3];
rz(0.599) q[3];
rx(0.7923) q[4];
rz(0.0169) q[4];
rx(0.7913) q[5];
rz(-0.0066) q[5];
rx(0.1592) q[6];
rz(0.4321) q[6];
rx(-0.0023) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
7c7664cb9cb13a35da50c3201e32fb16 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [82, 210], "expectation_value": -2.3552139923474043, "params": [[0.9937, 0.9948, -0.0546, 0.9931000000000001, 0.0241, -0.0385, 0.9975, 0.1691], [0.2715, 0.5739000000000001, 0.0135, 0.9917, 0.7908000000000001, 0.011300000000000001, 1.0049000000000001, 0.2437], [1.002, 0.9948, 0.197, 0.9907, 0.384, 0.0275, 0.9... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -0.25 * Z(... | 10 | 8 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.0, "smallest_bitstrings": ["10011010", "00110101", "10010011", "00101110", "10001110", "01001110", "10110001", "00101101", "11001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.9937) q[0];
ry(0.9948) q[1];
ry(-0.0546) q[2];
ry(0.9931) q[3];
ry(0.0241) q[4];
ry(-0.0385) q[5];
ry(0.9975) q[6];
ry(0.1691) q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
cz q[0], q[7];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
9c501688ace9c1c29c4f2331e1f6f6c1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "s... | {"states": [0, 1], "expectation_value": -16.416782651358023, "params": [-0.0037, 0.4685, -0.0008, 0.0524, 0.0027, 0.5972000000000001, 0.0023, 0.5984, 0.0021000000000000003, 0.3533, 0.0026000000000000003, 0.5904, 0.0027, -0.5798, 0.0023, 0.5984, 0.8012, -0.0002, -0.0035, 0.0044, 0.0064, 0.0092, 0.0027, 0.003900000000000... | -1.0 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(5)) + -1.0 * (Z(8) @ Z(2)) + 3.25 * (Z(8) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -1.25 * (Z(7) @ ... | 3 | 9 | 2 | {"smallest_eigenvalues": [-20.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0037) q[0];
rz(0.4685) q[0];
rx(-0.0008) q[1];
rz(0.0524) q[1];
rx(0.0027) q[2];
rz(0.5972) q[2];
rx(0.0023) q[3];
rz(0.5984) q[3];
rx(0.0021) q[4];
rz(0.3533) q[4];
rx(0.0026) q[5];
rz(0.5904) q[5];
rx(0.0027) q[6];
rz(-0.5798) q[6];
rx(0.0023) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
7634164182619522537 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[1, 4], [0, 1], [2, 4], [0, 3]]} | {"states": [11, 14], "expectation_value": -1.86625471337203, "params": null, "bitstrings": ["10100", "10001"], "total_optimization_steps": 25, "probabilities": [0.0610543214018561, 0.8721128027723853], "optimization_time": 11.109681129455566} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["10001", "01110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cry(-1.0342) q[2], q[4];
cry(-1.0342) q[3], q[0];
ry(1.3762) q[1];
cry(-0.5042) q[1], q[0];
ry(1.1464) q[3];
ry(-0.4336) q[0];
cry(-0.5042) q[1], q[4];
ry(1.1464) q[2];
ry(-0.4336) q[4];
cry(0.3449) q[1], q[2];
cry(0.344... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) q[2], 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... |
3fb3735639c46bff7d77a855f00e5a0c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 1... | {"states": [1, 5], "expectation_value": -1.425522765933976, "params": [[-0.0687, -0.0609, -0.0651], [0.0779, 0.0712, 0.0698]], "bitstrings": ["1111110", "1111010"], "total_optimization_steps": 10, "probabilities": [0.021222103863904666, 0.022430092555670654], "optimization_time": 3.9148874282836914} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(6) @ Z(2)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["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[2], q[0];
rz(0.0687) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(0.1031) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.0687) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(0.0687) q[1];
cx q[2], q[1];
cx q[5], 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] 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": []} |
-7617992486514997469 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4], [4, 6], [3, 6], [2, 4], [4, 5], [1, 7], [1, 3], [1, 6], [2, 6], [3, 5], [0, 6], [2, 3], [2, 7], [5, 6], [3, 7], [5, 7]]} | {"states": [108, 228], "expectation_value": -4.155521050232733, "params": null, "bitstrings": ["10010011", "00011011"], "total_optimization_steps": 68, "probabilities": [0.10100550467402898, 0.7439678933924949], "optimization_time": 94.51932144165039} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["00011011", "11100100"]} | 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[5], q[6];
cry(-1.0342) q[3], q[7];
ry(1.0293) q[5];
cry(1.4052) q[5], q[1];
cry(-0.9035) q[1], q[6];
cry(1.5176) q[1], q[2];
cry(-0.8573) q[1], q[7];
cry(-1.4149) q[0], q[4];
ry(1.1... | 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[5], 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] = me... |
ae89ed3cd3a3daf867ac1e5c76cb7bf2 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 5}, {"weight": 11, "source": 1, "target": 6}, {"weight": 19, "source": 1, "target": 4}, {... | {"states": [122, 118], "expectation_value": -17.9061474338911, "params": [[-0.0395, -0.019, 0.021, 0.0712], [0.060200000000000004, 0.057300000000000004, 0.0235, -0.0414]], "bitstrings": ["10000101", "10001001"], "total_optimization_steps": 10, "probabilities": [0.015140512636386069, 0.016567839066393707], "optimization... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(2) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(4) @ Z(5)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(6)) + 6.5 * Z(1) + 5.5 * Z(0) + 9.5 * Z(3) + 17.5 * Z(2) + 7.5 * Z(5) + 4.5 * Z(4) +... | 1 | 8 | 4 | {"smallest_eigenvalues": [-56.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -50.0, "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(-0.316) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.316) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(-0.316) q[2];
cx q[0], q[2];
cx q[3], q[2];
rz(-0.316) q[2];
cx q[3], q[2];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
839e49943c280a605024f1eaa388ffdd | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capaci... | {"states": [3, 1], "expectation_value": -7.499987376396085, "params": null, "bitstrings": ["111100", "111110"], "total_optimization_steps": 16, "probabilities": [1.2623561992970457e-05, 0.9999873764286952], "optimization_time": 8.74994421005249} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + 1.5 * (Z(5) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.5 * Z(5) + -1.0 * Z(3) + 0.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111110"]} | 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[5];
ry(-1.5708) q[0];
ry(-1.5706) q[2];
ry(-1.5681) q[3];
ry(-1.5708) q[1];
ry(-1.4449) q[4];
cry(-0.1188) q[5], q[4];
cry(-0.0027) q[5], q[3];
cry(-0.0002) q[5], q[2];
c[0] = measure q[0];
c[1] = me... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
e2d42d54466cad0e47a576fec07e2be9 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [84, 86], "expectation_value": -2.9126400442203426, "params": [[[0.5925, 0.0014, 0.0033, 0.001], [0.5862, 0.0024000000000000002, 0.43670000000000003, 0.0049], [-0.0023, 0.6725, 0.0097, 0.6689], [0.5226000000000001, 0.0071, 0.5214, 0.0041], [0.003, 0.19740000000000002, 0.0005, 0.193], [0.0913, 0.0168000000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(1) @ Z(3) @ Z(4)) + -0.125 * (Z(1) @ Z(3) ... | 12 | 8 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.375, "smallest_bitstrings": ["10101001", "10100110", "01100110", "01101001", "01100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.5925) q[0];
rz(0.0014) q[0];
ry(0.5862) q[1];
rz(0.0024) q[1];
ry(-0.0023) q[2];
rz(0.6725) q[2];
ry(0.5226) q[3];
rz(0.0071) q[3];
ry(0.003) q[4];
rz(0.1974) q[4];
ry(0.0913) q[5];
rz(0.0168) q[5];
ry(0.8146) q[6];
rz(0.0036) q[6];
ry(-0.0029) 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": []} |
e0e7442cfd5f4a9b9e7fac5624eafbe7 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [2594, 2595], "expectation_value": -98.52646537263409, "params": [[1.5878, 0.0018000000000000002, 1.6041, 0.5876, 0.0024000000000000002, 1.3648, 1.5927, 0.0027, -0.0018000000000000002, 0.0434, 1.5869, 0.1811], [1.5867, -0.0018000000000000002, 1.4017000000000002, 0.4198, 0.0019, 0.7789, 0.8058000000000001, 0.... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(5) @ Z(2)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(8) @ Z(0)) + 8.0 * (Z(10) @ Z(3)) + 8.0 * (Z(9) @ Z(10)) + 8.0 * (Z(11) @ Z(10)) + 8.0 * (Z(11) @ Z(9)) + 8.0 * (Z(4) @ Z(11)) + -6.5 * Z(1) + 7.0 * Z(0) + 5.5 * Z(2) + 3.5 * Z(3) + 5.0 * Z(5) + 1.0 * Z(6) + -7.0 * Z(8) + 1... | 10 | 12 | 1 | {"smallest_eigenvalues": [-128.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -120.5, "smallest_bitstrings": ["010111011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.5878) q[0];
ry(0.0018) q[1];
ry(1.6041) q[2];
ry(0.5876) q[3];
ry(0.0024) q[4];
ry(1.3648) q[5];
ry(1.5927) q[6];
ry(0.0027) q[7];
ry(-0.0018) q[8];
ry(0.0434) q[9];
ry(1.5869) q[10];
ry(0.1811) 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], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
081a3ef2a02910794db9cb14b9d27e2c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [3, 20], "expectation_value": -0.06379386004375348, "params": [[0.0635], [-0.06810000000000001]], "bitstrings": ["11100", "01011"], "total_optimization_steps": 10, "probabilities": [0.0331458441596624, 0.0331458441596624], "optimization_time": 0.8264691829681396} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["10101", "01110", "11100", "10011", "01011"]} | 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(0.0635) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.0635) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.0635) q[4];
cx q[1], q[4];
cx q[3], q[2];
rz(0.0635) q[2];
cx q[3], q[2];
cx q[4], q[2];
rz(0.0635) q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(x0) q[4];
cx q[1], q[4];
cx q[3], q[2];
rz(x0) q[2];
cx ... | null | {"circuits": [], "gradients": []} |
1c2304a67a30db02b0aacaef8f54cc49 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 20, "source": 0, "target": 5}, {"weight": 12, "source": 0, "target": 4}, {... | {"states": [122, 118], "expectation_value": -39.07847706733162, "params": null, "bitstrings": ["10000101", "10001001"], "total_optimization_steps": 100, "probabilities": [0.13642672542812723, 0.17023039196499282], "optimization_time": 180.6212034225464} | 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(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(34.778) q[3];
ry(0.0048) q[2];
ry(0.0002) q[1];
ry(1.2274) q[5];
cry(0.5783) q[5], q[2];
cry(-8.4103) q[5], q[3];
cry(62.4025) q[3], q[2];
ry(4.311) q[6];
cry(2.041) q[5], q[1];
cry(62.9164) q[... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(34.778) 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[... |
5675e3d1d23688cedf58afc21ee4a6b6 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": ... | {"states": [383, 1023], "expectation_value": -0.611514533024838, "params": [[0.056900000000000006], [-0.049300000000000004]], "bitstrings": ["1010000000", "0000000000"], "total_optimization_steps": 10, "probabilities": [0.0013036908409190904, 0.0013036908409190914], "optimization_time": 1.8647499084472656} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + -2.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(1) @ Z(9)) + -1.5 * (Z(1) @ Z(8)) + -1.0 * Z(2) + 1.0 * Z(0) + 0.5 * Z(4) + 0.5 * Z(... | 5 | 10 | 1 | {"smallest_eigenvalues": [-16.0, -16.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -15.0, "smallest_bitstrings": ["0000000000", "1010000000"]} | 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(-0.1707) q[0];
cx q[2], q[0];
cx q[4], q[3];
rz(-0.1707) q[3];
cx q[4], q[3];
cx q[4], q[7];
rz(0.0569) q[7];
cx q[4], q[7];
cx q[3], q[7];
rz(-0.2845) q[7];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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[2], q[0];
rz(x0) q[0];
cx q[2], q... | {"node": 1} | {"circuits": [], "gradients": []} |
-5534787900246124345 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4, 6], [1, 4, 5], [0, 3], [2, 6]]} | {"states": [15, 71], "expectation_value": -0.03573062655663699, "params": [[-0.0753], [0.0699]], "bitstrings": ["1110000", "0111000"], "total_optimization_steps": 10, "probabilities": [0.00831053457888284, 0.00831053457888284], "optimization_time": 1.3143970966339111} | 0.3333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.3333333333333333 * Z(4) + 0.3333333333333333 * Z(1) + 0.16666666666666663 * Z(6) + 0.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.6666666666666667, -1.6666666666666667, -1.6666666666666667, -1.6666666666666667], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.6666666666666663, "smallest_bitstrings": ["1110000", "0011100", "0111000", "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[4], q[1];
rz(-0.0502) q[1];
cx q[4], q[1];
cx q[4], q[6];
rz(-0.0251) q[6];
cx q[4], q[6];
cx q[1], q[6];
rz(-0.0251) q[6];
cx q[1], q[6];
cx q[4], q[5];
rz(-0.0251) q[5];
cx q[4], q[5];
cx q[1], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[6];
rz(x1) q[6];
cx q[4], q[6];
cx q[1], q[6];
rz(... | null | {"circuits": [], "gradients": []} |
-2185498323846699228 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[9, 11, 5, 7], [0, 8, 2, 3], [4, 12, 6], [9, 4, 7], [0, 2, 6, 7], [8, 12], [0, 6, 8, 10, 11], [0, 1, 7, 9, 11], [2, 6, 8, 9, 10], [1, 2, 4, 8, 11], [12, 7], [0, 1, 3, 6, 11], [10, 3, 4], [0, 1, 6, 7, 9], [10, 4, 5, 7], [0, 2, 4], [11, 4, 5, 6], [9, 12... | {"states": [4602, 4478], "expectation_value": -6.329811120524215, "params": null, "bitstrings": ["0111000000101", "0111010000001"], "total_optimization_steps": 100, "probabilities": [0.03827202771962079, 0.7960858100152304], "optimization_time": 1835.2615945339203} | 0.13333333333333333 * (Z(9) @ Z(11)) + 0.21666666666666667 * (Z(5) @ Z(11)) + 0.08333333333333333 * (Z(5) @ Z(9)) + 0.13333333333333333 * (Z(7) @ Z(11)) + 0.35 * (Z(7) @ Z(9)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.2 * (Z(0) @ Z(11)) + 0.15000000000000002 * (Z(0) @ Z(9)) + 0.21666666666666667 * (Z(0) @ Z(5)) + 0.183... | 1 | 13 | 1 | {"smallest_eigenvalues": [-6.733333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.316666666666667, "smallest_bitstrings": ["0111010000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
ry(1.5707) q[4];
ry(1.5704) q[0];
cry(1.4449) q[0], q[6];
cry(-1.2279) q[9], q[12];
ry(1.0912) q[9];
cry(-0.7078) q[4], q[12];
cry(1.452) q[9], q[8];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nry(1.5707) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = meas... |
dd2cbc0832de721030b1d6a15eb211d5 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "source": 0, "target": 10}, {"capacity": 4, "source":... | {"states": [2047, 1535], "expectation_value": -40.127111689441534, "params": [[[0.0083, -0.0024000000000000002], [0.0014, 0.0022], [0.8664000000000001, 0.0044], [0.016, -0.0033], [0.0032, 0.0022], [0.0092, 0.0024000000000000002], [0.0123, 0.0021000000000000003], [0.0086, 0.0022], [0.0001, 0.0022], [-0.0027, -0.0019], [... | -0.75 * (Z(0) @ Z(10)) + -0.75 * (Z(2) @ Z(0)) + -1.75 * (Z(1) @ Z(10)) + -0.5 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -3.5 * (Z(5) @ Z(10)) + -1.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(1)) + -1.0 * (Z(7) @ Z(10)) + -2.75 * (Z(7) @ Z(1)) + -2.25 * (Z(... | 15 | 12 | 2 | {"smallest_eigenvalues": [-41.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -39.0, "smallest_bitstrings": ["101000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0083) q[0];
ry(0.0014) q[1];
ry(0.8664) q[2];
ry(0.016) q[3];
ry(0.0032) q[4];
ry(0.0092) q[5];
ry(0.0123) q[6];
ry(0.0086) q[7];
ry(0.0001) q[8];
ry(-0.0027) q[9];
ry(-0.0044) q[10];
ry(3.1447) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
7227055949868351043 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[4, 5, 6], [0, 1, 2, 4], [1, 3]]} | {"states": [38, 102], "expectation_value": -1.0319808056597426, "params": [[[1.6517000000000002, 0.0064], [3.1445000000000003, 0.0031000000000000003], [0.4403, 0.0007], [0.0021000000000000003, 0.0038], [3.1446, 0.009300000000000001], [3.1398, 0.005], [0.3195, 0.0082]]], "bitstrings": ["1011001", "0011001"], "total_opti... | 0.16666666666666666 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.0833333333333335, -1.0833333333333335, -1.0833333333333335, -1.0833333333333335, -1.0833333333333335, -1.0833333333333335], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0833333333333333, "smallest_bitstrings": ["1001001", "1001010", "0100010", "0100001", "0011001", "00011... | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.6517) q[0];
rz(0.0064) q[0];
rx(3.1445) q[1];
rz(0.0031) q[1];
rx(0.4403) q[2];
rz(0.0007) q[2];
rx(0.0021) q[3];
rz(0.0038) q[3];
rx(3.1446) q[4];
rz(0.0093) q[4];
rx(3.1398) q[5];
rz(0.005) q[5];
rx(0.3195) q[6];
rz(0.0082) q[6];
c[0] = measure q[0];
c[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
100b035d500fd4645fd2b0e271b9dd47 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 4}, {"capaci... | {"states": [1, 5], "expectation_value": -5.441430112294741, "params": [[[0.0021000000000000003, 0.4888], [0.0005, 0.6006], [-0.0029000000000000002, 0.6331], [-0.4949, 0.0029000000000000002], [-0.0001, 0.6664], [0.7844, 0.0012000000000000001]], [[0.006200000000000001, 0.5854], [-0.0044, 0.6751], [-0.0047, 0.5958], [-0.4... | -0.75 * (Z(0) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(5) + -1.5 * Z(1) + 0.5 * Z(4) + 1.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0021) q[0];
rz(0.4888) q[0];
rx(0.0005) q[1];
rz(0.6006) q[1];
rx(-0.0029) q[2];
rz(0.6331) q[2];
rx(-0.4949) q[3];
rz(0.0029) q[3];
rx(-0.0001) q[4];
rz(0.6664) q[4];
rx(0.7844) q[5];
rz(0.0012) q[5];
rx(0.0062) q[0];
rz(0.5854) q[0];
rx(-0.0044) 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] 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": []} |
1305504633744829616 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 1], [0, 3], [2, 3]]} | {"states": [5, 10], "expectation_value": -0.04124469949185941, "params": [[-0.0874], [0.08030000000000001]], "bitstrings": ["1010", "0101"], "total_optimization_steps": 10, "probabilities": [0.06772726965920851, 0.06772726965920851], "optimization_time": 0.7165324687957764} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(2) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.5, -1.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.5, "smallest_bitstrings": ["1010", "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[1], q[0];
rz(-0.0874) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.0874) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(-0.0874) q[2];
cx q[3], q[2];
rz(0) q[1];
rz(0) q[0];
rz(0) q[3];
rz(0) q[2];
h q[0];
rz(0.1606) 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;
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[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
rz(x1) q[1];
rz(x1) q[0];
rz(x1) q[3];
... | null | {"circuits": [], "gradients": []} |
a7fe9655fedac9f37abdc7d4a012da3d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [490, 234], "expectation_value": -73.01116275967398, "params": [0.19190000000000002, 0.0742, 0.18530000000000002, 0.0695, 0.39280000000000004, -0.0031000000000000003, 0.3916, -0.0037, 0.37520000000000003, 0.0587, 0.3755, 0.059000000000000004, 0.38830000000000003, 0.0014, 0.3881, 0.008400000000000001, 0.1627,... | 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 10.0 * Z(0) + 15.5 * Z(2) + 12.5 * Z(1) + 19.5 * Z(5) + ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.1919) q[0];
rz(0.0742) q[0];
rx(0.3928) q[1];
rz(-0.0031) q[1];
rx(0.3752) q[2];
rz(0.0587) q[2];
rx(0.3883) q[3];
rz(0.0014) q[3];
rx(0.1627) q[4];
rz(-0.1002) q[4];
rx(0.3872) q[5];
rz(0.0003) q[5];
rx(0.0303) q[6];
rz(0.1806) q[6];
rx(0.3881) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
06224520ded029e940b1fde3f5ab3e3b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [35, 42], "expectation_value": -0.3747607135025806, "params": [[0.0415, 0.0444, 0.0545, 0.0756], [-0.043500000000000004, -0.0346, -0.0344, -0.052000000000000005]], "bitstrings": ["011100", "010101"], "total_optimization_steps": 10, "probabilities": [0.02250605530752914, 0.02250605530752914], "optimization_ti... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["010101", "011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(0.0415) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.0415) q[1];
cx q[0], q[1];
cx q[1], q[4];
rz(0.0415) q[4];
cx q[1], q[4];
cx q[3], q[2];
rz(0.0415) q[2];
cx q[3], q[2];
cx q[3], q[5];
rz(0.0415... | OPENQASM 3.0;
include "stdgates.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]... | null | {"circuits": [], "gradients": []} |
240b510bfe77c5e3336f7e5d9b59c15c | 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": 3, "target": 9}, {"source": 4, "target": 5},... | {"states": [0, 1792], "expectation_value": -38.91363433326314, "params": [-0.0028, 0.6751, -0.9875, 0.0029000000000000002, 1.4955, -0.0028, -0.4884, 0.0006000000000000001, -0.0025, 0.0043, -0.0024000000000000002, 0.0057, 0.0024000000000000002, 0.0077, -0.0024000000000000002, 0.0055000000000000005, -0.002400000000000000... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + -2.5 * (Z(4) @ Z(5)) + -3.5 * (Z(7) @ Z(5)) + -3.0 * (Z(7) @ Z(4)) + 1.0 * (Z(10) @ Z(5)) + -3.0 * (Z(10) @ Z(4)) + -3.0 * (Z(10) @ Z(7)) + 1.0 * (Z(6) @ Z(7)) + 1.0 * (Z(6) @ Z(10)) + 1.0 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(3)) + 1... | 4 | 11 | 1 | {"smallest_eigenvalues": [-40.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -39.5, "smallest_bitstrings": ["00011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0028) q[0];
rz(0.6751) q[0];
rx(-0.9875) q[1];
rz(0.0029) q[1];
rx(1.4955) q[2];
rz(-0.0028) q[2];
rx(-0.4884) q[3];
rz(0.0006) q[3];
rx(-0.0025) q[4];
rz(0.0043) q[4];
rx(-0.0024) q[5];
rz(0.0057) q[5];
rx(0.0024) q[6];
rz(0.0077) q[6];
rx(-0.0024) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 9} | {"circuits": [], "gradients": []} |
-1696107289425258244 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 3, 6, 7], [0, 1, 5], [8, 9, 4, 5], [0, 8], [9, 10], [1, 2, 4, 7, 10], [1, 4, 7, 8, 9], [8, 5, 7], [1, 4, 5, 7], [8, 2], [1, 3, 4, 6], [9, 2], [8, 1, 3], [1, 10, 3, 5], [0, 2, 3, 4, 7], [1, 3, 6, 7, 9], [0, 3, 4, 5, 9], [8, 10]]} | {"states": [1530, 1532], "expectation_value": -3.054501687553863, "params": [[[1.5732000000000002, 1.5726], [1.5673000000000001, 1.5676], [-1.5729, 1.5688], [0.42760000000000004, 1.5677], [1.194, 1.1188], [1.2868000000000002, 1.4557], [1.5626, 1.5173], [-1.5704, 1.3888], [1.5733000000000001, -0.0238], [1.5677, -1.2334]... | 0.21666666666666667 * (Z(0) @ Z(1)) + 0.4333333333333333 * (Z(4) @ Z(1)) + 0.15000000000000002 * (Z(4) @ Z(0)) + 0.18333333333333335 * (Z(7) @ Z(1)) + 0.05 * (Z(7) @ Z(0)) + 0.18333333333333335 * (Z(7) @ Z(4)) + 0.2833333333333333 * (Z(8) @ Z(1)) + 0.1 * (Z(8) @ Z(0)) + 0.15000000000000002 * (Z(8) @ Z(4)) + 0.1 * (Z(8)... | 15 | 11 | 1 | {"smallest_eigenvalues": [-4.8833333333333355], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.750000000000001, "smallest_bitstrings": ["01000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.5732) q[0];
ry(1.5673) q[1];
ry(-1.5729) q[2];
ry(0.4276) q[3];
ry(1.194) q[4];
ry(1.2868) q[5];
ry(1.5626) q[6];
ry(-1.5704) q[7];
ry(1.5733) q[8];
ry(1.5677) q[9];
ry(1.5724) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5575b19e97d5a5b0b45755000e82f544 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 1, "s... | {"states": [119, 115], "expectation_value": -6.528284235586142, "params": [[-0.15410000000000001, -0.135], [0.1691, 0.1562]], "bitstrings": ["110001000", "110001100"], "total_optimization_steps": 20, "probabilities": [0.0246784119661326, 0.029416884634732434], "optimization_time": 4.976762771606445} | -0.75 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(7) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(7)) + -0.75 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(7)) + -0.5 * (Z(4) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-14.0, -14.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.0, "smallest_bitstrings": ["110001100", "110001000"]} | 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(0.2312) q[0];
cx q[1], q[0];
cx q[1], q[6];
rz(0.2312) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(0.1541) q[6];
cx q[0], q[6];
cx q[1], q[5];
rz(0.3082) q[5];
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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
9eabaceaa8bd7beab03a3e1ddd6db75b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [23, 342], "expectation_value": -29.375901173425188, "params": [[[1.5834000000000001, 0.8684000000000001], [0.9189, 0.3261], [1.6016000000000001, 0.5718], [0.019100000000000002, 0.7865000000000001], [1.5879, 1.5876000000000001], [1.5885, 1.5872000000000002], [1.5872000000000002, 1.5816000000000001], [1.58110... | 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(7) @ Z(8)) + 4.0 * Z(1) + 8.5 * Z(2) + 5.5 * Z(0) + -2.0 * Z(3) + 7.5 * Z(4) + 1.0 * Z(5) + 7.5 * Z(6) + 5.0 * Z(8) + 1.0 * Z(7) | 15 | 9 | 1 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.0, "smallest_bitstrings": ["010101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.5834) q[0];
ry(0.9189) q[1];
ry(1.6016) q[2];
ry(0.0191) q[3];
ry(1.5879) q[4];
ry(1.5885) q[5];
ry(1.5872) q[6];
ry(1.5811) q[7];
ry(1.5887) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
fda89f474d60f30689ab5fdd143ab993 | 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": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 8}, {"source": 3, "target": 5}, {"sour... | {"states": [454, 326], "expectation_value": -3.523549392780554, "params": [[[0.7922, -0.004], [0.7868, 0.003], [0.7934, -0.004200000000000001], [-0.0085, -0.3961], [0.0969, 0.36000000000000004], [-0.0149, -0.3929], [0.8082, -0.0016], [0.8044, 0.0027], [0.7794000000000001, -0.0032]], [[0.7901, 0.0053], [0.78360000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.0 * Z(1) + -0.5 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -... | 1 | 9 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.5, "smallest_bitstrings": ["011111000", "100001111", "101111000", "100111001", "010111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.7922) q[0];
rz(-0.004) q[0];
rx(0.7868) q[1];
rz(0.003) q[1];
rx(0.7934) q[2];
rz(-0.0042) q[2];
rx(-0.0085) q[3];
rz(-0.3961) q[3];
rx(0.0969) q[4];
rz(0.36) q[4];
rx(-0.0149) q[5];
rz(-0.3929) q[5];
rx(0.8082) q[6];
rz(-0.0016) q[6];
rx(0.8044) 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": []} |
a99f86c3cb9c5f9afbf3a51c1f63c621 | 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": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capac... | {"states": [512, 511], "expectation_value": -21.262067812852425, "params": [[[0.0041, -0.0041], [0.0076, -0.0019], [0.0046, 0.0023], [0.0079, 0.0022], [0.0041, 0.0026000000000000003], [0.0014, -0.0027], [0.0015, 0.0029000000000000002], [-0.0006000000000000001, -0.0023], [-0.004200000000000001, -0.0014], [1.6006, 0.0143... | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(1)) + 1.75 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(6)) + -1.0 * (Z(9) @ Z(1)) + -0.5 * (Z(9) @ ... | 15 | 10 | 2 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0041) q[0];
ry(0.0076) q[1];
ry(0.0046) q[2];
ry(0.0079) q[3];
ry(0.0041) q[4];
ry(0.0014) q[5];
ry(0.0015) q[6];
ry(-0.0006) q[7];
ry(-0.0042) q[8];
ry(1.6006) 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": []} |
cba3c0f3028bedd24c97c562399fe60f | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [56, 7], "expectation_value": -5.625119730016436, "params": [[-0.0621, -0.013000000000000001], [0.078, 0.043500000000000004]], "bitstrings": ["1000111", "1111000"], "total_optimization_steps": 10, "probabilities": [0.013799229733544551, 0.014993740327278795], "optimization_time": 4.369083404541016} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.25 ... | 18 | 7 | 2 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.2795) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2795) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2795) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2795) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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 ... | {"k": 4} | {"circuits": [], "gradients": []} |
-7938295873252713390 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 4, 5], [0, 4, 5], [2, 4, 5], [3, 6], [0, 3, 4], [1, 3], [0, 8, 6], [8, 4], [8, 5], [5, 7], [6, 7], [0, 3, 7], [8, 2, 6], [2, 3, 4], [8, 3], [0, 1, 5], [1, 2, 7]]} | {"states": [355, 364], "expectation_value": -4.252539274740745, "params": null, "bitstrings": ["010011100", "010010011"], "total_optimization_steps": 65, "probabilities": [0.059390661629415115, 0.7882199010667769], "optimization_time": 106.76154685020447} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(0) @ Z(4)) + 0.3333333333333333 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.500000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["010010011"]} | 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(1.5592) q[0];
ry(1.5298) q[2];
cry(-1.034) q[5], q[8];
ry(0.9712) q[5];
cry(-1.3756) q[5], q[7];
cry(1.5061) q[5], q[6];
cry(-0.8623) q[6], q[8];
cry(0.2816) q[0], q[5];
cry(-1.0161) q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5592) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
a6296a8e6200fa7838cf2554e21a1dbb | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target": 8}, {"sour... | {"states": [416, 418], "expectation_value": -6.395746255335776, "params": [0.3057, 0.304, 0.3055, 0.30510000000000004, -0.010700000000000001, -0.009300000000000001, 0.303, 0.3098, 0.2195, 0.21930000000000002, -0.0205, -0.0115, 0.0126, 0.0178, 0.2974, 0.2903, 0.0046, 0.0057, 0.3068, 0.30210000000000004, 0.3005, 0.301, -... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) ... | 13 | 9 | 3 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.0, "smallest_bitstrings": ["001011011", "001011101", "001001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.3057) q[0];
ry(0.3055) q[1];
ry(-0.0107) q[2];
ry(0.303) q[3];
ry(0.2195) q[4];
ry(-0.0205) q[5];
ry(0.0126) q[6];
ry(0.2974) q[7];
ry(0.0046) q[8];
crz(-0.1625) q[8], q[0];
crz(-0.0175) q[7], q[8];
crz(0.152) q[6], q[7];
crz(-0.106) q[5], q[6];
crz(-0.02... | 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": []} |
478347d0649638bba313bef5d45c4851 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [38, 36], "expectation_value": -1.9349496765973806, "params": [[0.0659, 0.0716, 0.045200000000000004, 0.0378], [-0.0548, -0.07400000000000001, -0.046200000000000005, -0.0431]], "bitstrings": ["1011001", "1011011"], "total_optimization_steps": 10, "probabilities": [0.014963468146175714, 0.01593596689186516], ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.0 *... | 1 | 7 | 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": ["0111101", "1011011", "1111010", "1111001", "1110110", "0101111", "0110111", "1101110"]} | 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(0.0659) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(0.0659) q[4];
cx q[0], q[4];
cx q[1], q[6];
rz(0.0659) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(0.0659) q[6];
cx q[0], q[6];
cx q[1], q[2];
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": []} |
37d79e9da5c5cc6353e745c04287738a | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [2666, 618], "expectation_value": -94.66020457921557, "params": [0.30410000000000004, -0.12710000000000002, 0.0043, 0.3159, 0.6056, 0.0017000000000000001, 0.0032, 0.39930000000000004, 0.2827, 0.1885, 0.597, 0.0041, 0.5974, 0.0088, 0.2743, 0.2034, 0.5999, 0.0159, 0.2795, 0.2308, 0.6052000000000001, 0.0014, 0.... | 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(0) @ Z(6)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(4) @ Z(6)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(8) @ Z(0)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(9) @ Z(5)) + 7.5 * (Z(10) @ Z(9)) + 7.5 * (Z(1) @ Z(10)) + 9.5 * Z(2) + -7.0 * Z(3) + 22.5 * Z(6) + 2.0 * Z(0) + ... | 18 | 12 | 4 | {"smallest_eigenvalues": [-145.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -122.5, "smallest_bitstrings": ["110110010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.3041) q[0];
rz(-0.1271) q[0];
rx(0.0043) q[1];
rz(0.3159) q[1];
rx(0.6056) q[2];
rz(0.0017) q[2];
rx(0.0032) q[3];
rz(0.3993) q[3];
rx(0.2827) q[4];
rz(0.1885) q[4];
rx(0.597) q[5];
rz(0.0041) q[5];
rx(0.5974) q[6];
rz(0.0088) q[6];
rx(0.2743) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
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