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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
aaa0b19e64bf3c35281517d1fd2e9593 | 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": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}]} | {"states": [39, 23], "expectation_value": -3.499144858283829, "params": null, "bitstrings": ["011000", "101000"], "total_optimization_steps": 28, "probabilities": [0.06552908063150316, 0.9338662614330172], "optimization_time": 16.49030113220215} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["011000", "101000"]} | 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(1.4449) q[5];
ry(1.4449) q[4];
ry(1.4449) q[3];
cry(-1.0342) q[1], q[0];
ry(0.7003) q[1];
ry(-0.4549) q[0];
cry(0.4963) q[5], q[1];
cry(-0.3789) q[5], q[0];
cry(0.2489) q[4], q[1];
cry(-0.148... | 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... |
199bc20adfdca6d6b6a06391ec8e4ac2 | 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": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 4, "target": 5}, ... | {"states": [52, 75], "expectation_value": -0.10226652135645826, "params": [[0.0666], [-0.06810000000000001]], "bitstrings": ["1001011", "0110100"], "total_optimization_steps": 10, "probabilities": [0.00874771959440925, 0.008891040305661731], "optimization_time": 1.2156128883361816} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + 0.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) + -0.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["0110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.0666) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0666) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(0.0666) q[1];
cx q[3], q[1];
cx q[1], q[6];
rz(0.0666) q[6];
cx q[1], q[6];
cx q[2], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(... | null | {"circuits": [], "gradients": []} |
df6b0a55435c2e6f48611bfeaa2a8959 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "so... | {"states": [39, 55], "expectation_value": -5.380515496832225, "params": [0.003, -1.3266, -0.0019, -1.1723000000000001, -1.1988, -0.0164, 0.8424, -0.1408, 0.7108, -0.1923, 1.5681, 0.0028, 1.5752000000000002, -0.0026000000000000003, 1.5693000000000001, -0.0006000000000000001, 0.003, 0.0092, -0.0019, 0.01, -1.1988, 0.0087... | 0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.5 ... | 18 | 8 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["10100000", "11010000", "11001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.003) q[0];
rz(-1.3266) q[0];
rx(-0.0019) q[1];
rz(-1.1723) q[1];
rx(-1.1988) q[2];
rz(-0.0164) q[2];
rx(0.8424) q[3];
rz(-0.1408) q[3];
rx(0.7108) q[4];
rz(-0.1923) q[4];
rx(1.5681) q[5];
rz(0.0028) q[5];
rx(1.5752) q[6];
rz(-0.0026) q[6];
rx(1.5693) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
cb3c7c022cb9712afc36cb282644505f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [1, 93], "expectation_value": -2.600998366639743, "params": [[0.1232, 0.1506], [-0.11960000000000001, -0.1373]], "bitstrings": ["11111110", "10100010"], "total_optimization_steps": 20, "probabilities": [0.017856861380205098, 0.023216296494146665], "optimization_time": 3.8608558177948} | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.5 * (Z(1) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(-0.1232) q[0];
cx q[2], q[0];
cx q[2], q[6];
rz(-0.1232) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(-0.1232) q[6];
cx q[0], q[6];
cx q[0], q[7];
rz(0.308) q[7];
cx q[0], q[7];
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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
ae89ed3cd3a3daf867ac1e5c76cb7bf2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [173, 165], "expectation_value": -1.5427455164720025, "params": [0.5031, 0.5001, 0.0922, 0.0869, 0.4979, 0.5046, 0.0889, 0.0795, 0.2964, 0.2929, 0.5031, 0.506, 0.08510000000000001, 0.08700000000000001, 0.4975, 0.49670000000000003, 0.5043, 0.5064000000000001, 0.08320000000000001, 0.08510000000000001, 0.4974, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(0) @ Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(7) @ Z(4)) + 0.25 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + -0.25 * Z(... | 14 | 8 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.0, "smallest_bitstrings": ["10100011", "10011010", "01110100", "01100101", "01100011", "11010100", "01011010", "01011100", "10010110", "10010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.5031) q[0];
ry(0.0922) q[1];
ry(0.4979) q[2];
ry(0.0889) q[3];
ry(0.2964) q[4];
ry(0.5031) q[5];
ry(0.0851) q[6];
ry(0.4975) q[7];
crx(0.4791) q[7], q[0];
crx(0.4463) q[6], q[7];
crx(-0.3471) q[5], q[6];
crx(-0.1447) q[4], q[5];
crx(0.4866) q[3], q[4];
cr... | OPENQASM 3.0;
include "stdgates.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": []} |
271b6d26eb93ad56d6a083b79d80e520 | 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": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target":... | {"states": [1024, 1023], "expectation_value": -13.311609226854388, "params": [[[-0.0011, 0.2079], [0.0026000000000000003, -0.0049], [0.046400000000000004, 0.0023], [0.0055000000000000005, 0.0028], [0.0029000000000000002, 0.002], [0.0012000000000000001, 0.0026000000000000003], [0.0077, 0.0022], [0.0012000000000000001, 0... | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(7) @ Z(4)) + -0.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(5)) + -0.5 * (Z(8) @ Z(4)) + -0.25 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(7)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(1) @ Z(7)) + -0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(7)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(9)... | 15 | 11 | 4 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.75, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0011) q[0];
ry(0.0026) q[1];
ry(0.0464) q[2];
ry(0.0055) q[3];
ry(0.0029) q[4];
ry(0.0012) q[5];
ry(0.0077) q[6];
ry(0.0012) q[7];
ry(0.0031) q[8];
ry(0.2128) q[9];
ry(-0.0054) 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[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
c207a7b4cd3f0efb0fa44764eec6604a | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 6, "source": 2, "target": 1}, {"capacity": 5, "source": 2, "target": 4}, {"capacity": 5, "so... | {"states": [6647, 6615], "expectation_value": -27.770285844510163, "params": [2.0992, 0.004, 2.1044, 0.0016, -0.0023, 0.0015, -0.0022, 0.007, 2.0991, 0.0043, 2.1072, 0.004, 2.1099, 0.0064, 1.5315, 0.0068000000000000005, 1.8905, 0.0098, 1.0779, 0.0077, 2.1072, 0.0068000000000000005, 2.0842, 0.0031000000000000003, 2.1060... | 0.5 * (Z(0) @ Z(4)) + 2.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(0)) + 3.0 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + 6.0 * (Z(6) @ Z(5)) + 1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + 2.0 * (Z(1) @ Z(5)) + 3.0 * (Z(1) @ Z(6)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(5)) + -1.5 * (Z(2) @ Z(6)) + -0.5 * (Z(10) @ ... | 16 | 13 | 1 | {"smallest_eigenvalues": [-45.33333333333333, -45.33333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -44.5, "smallest_bitstrings": ["0011000110000", "0011000101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(2.0992) q[0];
rz(0.004) q[0];
rx(2.1044) q[1];
rz(0.0016) q[1];
rx(-0.0023) q[2];
rz(0.0015) q[2];
rx(-0.0022) q[3];
rz(0.007) q[3];
rx(2.0991) q[4];
rz(0.0043) q[4];
rx(2.1072) q[5];
rz(0.004) q[5];
rx(2.1099) q[6];
rz(0.0064) q[6];
rx(1.5315) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
2908819120690018760 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2], [2, 7], [2, 5], [4, 5], [1, 5], [0, 6], [0, 1], [3, 5]]} | {"states": [122, 133], "expectation_value": -0.08924500303755721, "params": [[0.0763], [-0.0746]], "bitstrings": ["10000101", "01111010"], "total_optimization_steps": 10, "probabilities": [0.004638189537898325, 0.004638189537898325], "optimization_time": 1.5098280906677246} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(7) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(3) | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["01111010", "10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(0.0763) q[0];
cx q[2], q[0];
cx q[2], q[7];
rz(0.0763) q[7];
cx q[2], q[7];
cx q[2], q[5];
rz(0.0763) q[5];
cx q[2], q[5];
cx q[5], q[4];
rz(0.0763) q[4];
cx q[5], q[4];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[7];
rz(x0) q[7];
cx q[2], q[7];
cx q[2], q[5];
rz(x0) q[5];
cx q[2], q[5];
cx q[5]... | null | {"circuits": [], "gradients": []} |
cfea5cfc148513139701223ce43ac47e | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "... | {"states": [0, 4095], "expectation_value": -55.192808811690604, "params": [[[0.0031000000000000003, 1.6095000000000002], [0.0024000000000000002, 0.0017000000000000001], [0.0018000000000000002, 0.002], [0.0021000000000000003, 0.0022], [0.0019, 0.0022], [0.0025, 0.0022], [0.0021000000000000003, 0.0023], [-0.003, 0.002100... | -4.0 * (Z(0) @ Z(1)) + -3.5 * (Z(3) @ Z(1)) + -3.5 * (Z(3) @ Z(0)) + -4.0 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(3)) + 2.0 * (Z(6) @ Z(1)) + -3.5 * (Z(6) @ Z(0)) + -3.5 * (Z(6) @ Z(3)) + -4.0 * (Z(6) @ Z(5)) + 1.0 * (Z(7) @ Z(1)) + -3.0 * (Z(7) @ Z(0)) + 1.0 * (Z(7) @ Z(3)) + -3.5 * (Z(7) @ Z(5)) + 1... | 15 | 12 | 1 | {"smallest_eigenvalues": [-60.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0031) q[0];
ry(0.0024) q[1];
ry(0.0018) q[2];
ry(0.0021) q[3];
ry(0.0019) q[4];
ry(0.0025) q[5];
ry(0.0021) q[6];
ry(-0.003) q[7];
ry(0.0025) q[8];
ry(0.0028) q[9];
ry(0.002) q[10];
ry(0.0023) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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[12] c;
qubit[12... | {"node": 8} | {"circuits": [], "gradients": []} |
533fcd480a5175680493f52fe07173d6 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [165, 37], "expectation_value": -13.999998064799607, "params": null, "bitstrings": ["01011010", "11011010"], "total_optimization_steps": 41, "probabilities": [2.0242065125026606e-07, 0.9999997139448797], "optimization_time": 42.79744529724121} | -1.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(2)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["11011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5709) q[2];
cry(1.5708) q[2], q[5];
cry(1.5708) q[2], q[7];
ry(-1.5708) q[0];
ry(-1.5708) q[1];
cry(-1.5708) q[7], q[6];
ry(-1.4449) q[3];
ry(-1.4449) q[4];
cry(-0.1188) q[2], q[3];
cry(-0.11... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5709) 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[... |
9aafe0580999b1b0b4b8e8eda0d2bc18 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [18, 3], "expectation_value": -15.361953434616453, "params": null, "bitstrings": ["101101", "111100"], "total_optimization_steps": 50, "probabilities": [0.10929342150093539, 0.6388706778346432], "optimization_time": 67.07741928100586} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 16 | 6 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-0.069) q[0];
ry(-0.1999) q[1];
ry(-0.3716) q[2];
ry(-0.8892) q[3];
cry(-1.199) q[5], q[2];
cry(-1.5018) q[4], q[0];
cry(-1.3709) q[5], q[1];
ry(0.9839) q[4];
cry(-0.6816) q[4], q[3];
ry(0.5496) q[5];
cry(-0.4... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-0.069) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
9e8a866d2c0011b6946d4c64e758f31c | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 4}, {"weight": 17, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 2}, {"weight": 1... | {"states": [125, 124], "expectation_value": -31.241436269645554, "params": [[-0.0397, 0.0039000000000000003, 0.0083], [0.0722, 0.0699, 0.0731]], "bitstrings": ["10000010", "10000011"], "total_optimization_steps": 10, "probabilities": [0.01618861252591872, 0.020244312841864027], "optimization_time": 7.541158437728882} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(0)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-77.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["10000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.2779) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2779) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2779) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.2779) q[3];
cx q[0], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
-2751074007762763893 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 6, 7], [3, 4, 5], [1, 2, 3, 4], [0, 1, 2, 3], [1, 2, 5, 7], [2, 3, 7], [1, 2, 3, 6], [0, 2, 3, 5], [0, 1, 5, 7]]} | {"states": [85, 87], "expectation_value": -2.15059778276758, "params": null, "bitstrings": ["10101010", "10101000"], "total_optimization_steps": 41, "probabilities": [0.026439086838298313, 0.926355835439028], "optimization_time": 69.5647463798523} | 0.25 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(6)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(7)) + ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.1666666666666665, -2.1666666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.166666666666666, "smallest_bitstrings": ["00100110", "10101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5668) q[3];
ry(1.3016) q[1];
cry(-0.6546) q[7], q[2];
ry(0.7744) q[7];
cry(-0.6429) q[1], q[2];
cry(0.5445) q[3], q[7];
cry(-0.3918) q[3], q[2];
ry(0.6207) q[5];
cry(0.4378) q[3], q[5];
cry(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5668) 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[... |
8bd549bac35fc0555b3d70370196edc2 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "ta... | {"states": [98, 226], "expectation_value": -3.9861700750806777, "params": [0.8014, -0.001, 0.8072, 0.0036000000000000003, 0.7989, 0.0033, -0.009600000000000001, 0.3986, -0.0161, 0.45470000000000005, -0.0083, 0.4893, 0.8105, 0.22410000000000002, 0.30060000000000003, 0.2303, 0.8036000000000001, 0.0055000000000000005, 0.8... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.5 * Z(4) + -0.5 * Z(7) + ... | 3 | 8 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["00011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8014) q[0];
rz(-0.001) q[0];
rx(0.8072) q[1];
rz(0.0036) q[1];
rx(0.7989) q[2];
rz(0.0033) q[2];
rx(-0.0096) q[3];
rz(0.3986) q[3];
rx(-0.0161) q[4];
rz(0.4547) q[4];
rx(-0.0083) q[5];
rz(0.4893) q[5];
rx(0.8105) q[6];
rz(0.2241) q[6];
rx(0.3006) 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": []} |
1b2d3f76e03a42c535aedbc70a38da1e | 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": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5},... | {"states": [0, 2023], "expectation_value": -7.429978614106527, "params": [-0.48000000000000004, 0.2866, 0.7173, 0.0015, 0.6627000000000001, 1.8037, 0.4193, 0.0095, 0.7653000000000001, 1.778, 0.604, 0.0026000000000000003, 0.8138000000000001, 0.9623, -0.5557, 0.0032, 0.807, 0.8834000000000001, -0.3099, 0.0041, 0.8106, 0.... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * (Z(10) @ Z(9)) + -1.5 * (Z(10) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 1.0 * Z(7) + ... | 6 | 11 | 1 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["00000000000", "00000011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.48) q[0];
rz(0.2866) q[0];
rx(0.6627) q[1];
rz(1.8037) q[1];
rx(0.7653) q[2];
rz(1.778) q[2];
rx(0.8138) q[3];
rz(0.9623) q[3];
rx(0.807) q[4];
rz(0.8834) q[4];
rx(0.8106) q[5];
rz(0.7136) q[5];
rx(0.0024) q[6];
rz(1.0211) q[6];
rx(0.4118) q[7];
rz(1.0... | 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[... | {"node": 7} | {"circuits": [], "gradients": []} |
5a1527813da7c534130c872b3bb3e98c | 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": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, ... | {"states": [127, 109], "expectation_value": -1.4208130481409273, "params": [[-0.0689, -0.06810000000000001], [0.0737, 0.0682]], "bitstrings": ["10000000", "10010010"], "total_optimization_steps": 10, "probabilities": [0.007839218265243812, 0.008259366575938908], "optimization_time": 3.1644070148468018} | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + 1.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(3) @ Z(6)) + 0.0 * Z(4) + -0.25 * Z(0) + -2.25 * Z(6... | 1 | 8 | 2 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(0.0345) q[0];
cx q[4], q[0];
cx q[4], q[6];
rz(0.1033) q[6];
cx q[4], q[6];
cx q[0], q[6];
rz(0.1033) q[6];
cx q[0], q[6];
cx q[4], q[1];
rz(0.0689) q[1];
cx q[4], q[1];
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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
44f2999396e93485f9b2b45d8a91217a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capac... | {"states": [83, 1], "expectation_value": -20.963923005261417, "params": null, "bitstrings": ["1110101100", "1111111110"], "total_optimization_steps": 63, "probabilities": [0.2376301591281879, 0.441099564596577], "optimization_time": 131.17346930503845} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -1.25 * (Z(6) @ Z(4)) + 3.5 * (Z(9) @ Z(0)) + -1.25 * (Z(9) @ Z(6)) + -0.75 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-28.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.25, "smallest_bitstrings": ["1111111110"]} | 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(-1.4894) q[7];
ry(-1.57) q[1];
ry(1.5708) q[9];
ry(-1.2796) q[0];
ry(-1.5708) q[4];
cry(1.5708) q[3], q[8];
ry(-1.5708) q[2];
ry(-1.5708) q[6];
cry(1.1633) q[9], q[0];
cry(-0.... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.4894) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5... |
dd5fc1f9f83fb22d203285a7c9a347ac | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 6, "target":... | {"states": [3, 507], "expectation_value": -5.486747374285732, "params": [-0.2117, 0.5291, 0.35500000000000004, 0.19970000000000002, -0.5701, 0.1499, 0.48910000000000003, 0.1537, 0.4904, 0.16770000000000002, -0.3119, 0.6328, 0.5143, 0.29300000000000004, -0.1423, 1.2694, 0.1242, 1.1860000000000002, 0.1593, 1.478300000000... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(6) | 6 | 9 | 2 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["000000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.2117) q[0];
rz(0.5291) q[0];
rx(-0.5701) q[1];
rz(0.1499) q[1];
rx(0.4904) q[2];
rz(0.1677) q[2];
rx(0.5143) q[3];
rz(0.293) q[3];
rx(0.1242) q[4];
rz(1.186) q[4];
rx(-0.82) q[5];
rz(0.9577) q[5];
rx(0.7454) q[6];
rz(0.7027) q[6];
rx(-0.9351) 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": 7} | {"circuits": [], "gradients": []} |
ced6c703f6fc42ad993c62457521a8a6 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 0, ... | {"states": [3, 1], "expectation_value": -9.749974732289836, "params": null, "bitstrings": ["11111100", "11111110"], "total_optimization_steps": 21, "probabilities": [1.2643738898933471e-05, 0.9999747325766285], "optimization_time": 16.608226776123047} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(4) @ Z(5)) + 2.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.25 * Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-9.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.75, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[7];
ry(-1.5708) q[0];
ry(-1.5706) q[1];
ry(-1.5708) q[2];
ry(-1.5706) q[5];
ry(-1.5486) q[3];
ry(-1.4449) q[4];
ry(-1.4448) q[6];
cry(-0.1189) q[7], q[6];
cry(-0.1188) q[7], q[4];
cry... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
fb80b58009d12f329fc6227153f1ac68 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [63, 47], "expectation_value": -25.54924597313359, "params": [1.3589, 0.0023, 1.3446, 0.0079, 0.7144, 0.0056, 2.0081, 0.004200000000000001, 1.4716, 0.0001, 2.0041, 0.0008, 1.9959, 0.0097, 2.0093, 0.0015, 1.9931, 0.0094, 0.0028, 0.0019, 0.006900000000000001, 0.0011, 0.0026000000000000003, 0.0097, 0.0064, 0.00... | 6.5 * (Z(0) @ Z(5)) + 6.5 * (Z(3) @ Z(5)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(1) @ Z(6)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(8) @ Z(0)) + 18.5 * Z(5) + 1.0 * Z(0) + 13.0 * Z(3) + -1.5 * Z(2) + 2.0 * Z(4) + 9.0 * Z(6) + 1.0 * Z(1) + 10.0 *... | 18 | 9 | 1 | {"smallest_eigenvalues": [-79.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["111010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.3589) q[0];
rz(0.0023) q[0];
rx(1.3446) q[1];
rz(0.0079) q[1];
rx(0.7144) q[2];
rz(0.0056) q[2];
rx(2.0081) q[3];
rz(0.0042) q[3];
rx(1.4716) q[4];
rz(0.0001) q[4];
rx(2.0041) q[5];
rz(0.0008) q[5];
rx(1.9959) q[6];
rz(0.0097) q[6];
rx(2.0093) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
0e07c18cfcd6c70f78e81e85c4e65871 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [43349, 43605], "expectation_value": -2.0199161786737436, "params": [1.0107000000000002, 0.9787, 0.332, 0.3433, -1.3344, -1.3305, 0.2417, 0.3342, 0.39180000000000004, 0.3985, -0.0019, -0.0082, -0.5639000000000001, -0.5608000000000001, 0.3738, 0.3672, -0.0524, 0.0921, 0.40640000000000004, 0.4081, -0.0188, -0.... | 0.25 * (Z(0) @ Z(1)) + -0.0008749999999999999 * (Z(2) @ Z(0)) + -0.0008749999999999999 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0008749999999999999 * (Z(4) @ Z(0)) + -0.0006875000000000002 * (Z(4) @ Z(2)) + -0.0008749999999999999 * (Z(5) @ Z(1)) + -0.0006875000000000002 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 13 | 16 | 4 | {"smallest_eigenvalues": [-2.0231249999999603], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0231249999998973, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(1.0107) q[0];
ry(0.332) q[1];
ry(-1.3344) q[2];
ry(0.2417) q[3];
ry(0.3918) q[4];
ry(-0.0019) q[5];
ry(-0.5639) q[6];
ry(0.3738) q[7];
ry(-0.0524) q[8];
ry(0.4064) q[9];
ry(-0.0188) q[10];
ry(0.393) q[11];
ry(0.0124) q[12];
ry(0.397) q[13];
ry(0.0181) q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
ab957251534d09507f870c3a6ef42154 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}, {"weight": 1, "... | {"states": [1385, 1386], "expectation_value": -1.5074158967803413, "params": [0.0012000000000000001, -0.0014, 0.3885, 0.391, -0.025500000000000002, 0.0056, 0.3876, 0.3921, -0.0135, -0.0068000000000000005, 0.388, 0.3916, 0.3965, 0.39630000000000004, -0.0038, 0.002, 0.3931, 0.3906, 0.0166, -0.0207, -0.5976, -0.5557, 0.36... | 0.25 * (Z(0) @ Z(1)) + 0.00034722222222222224 * (Z(2) @ Z(0)) + 0.00034722222222222224 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0010416666666666667 * (Z(4) @ Z(0)) + -0.0015625 * (Z(4) @ Z(2)) + -0.0010416666666666667 * (Z(5) @ Z(1)) + -0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0006944444444444445 * (Z(6)... | 13 | 12 | 4 | {"smallest_eigenvalues": [-1.5131944444444438, -1.5131944444444438, -1.5131944444444438, -1.5131944444444438], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5104166666666665, "smallest_bitstrings": ["010101101010", "011010100101", "101010010101", "100101011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0012) q[0];
ry(0.3885) q[1];
ry(-0.0255) q[2];
ry(0.3876) q[3];
ry(-0.0135) q[4];
ry(0.388) q[5];
ry(0.3965) q[6];
ry(-0.0038) q[7];
ry(0.3931) q[8];
ry(0.0166) q[9];
ry(-0.5976) q[10];
ry(0.3614) q[11];
crz(-0.335) q[11], q[0];
crz(0.5465) q[10], q[11]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
4973527a678849b98f57c7e36651dc7d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [41, 97], "expectation_value": -4.496398064640455, "params": null, "bitstrings": ["1010110", "0011110"], "total_optimization_steps": 25, "probabilities": [0.06635227036942623, 0.9303267404400778], "optimization_time": 16.736119985580444} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(1) + -1.5 * Z(4) + -1.5 * Z(5) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0111010", "0011110", "1100110", "1010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[2];
ry(-1.5681) q[4];
ry(-1.4449) q[5];
ry(1.4417) q[6];
ry(1.4417) q[1];
cry(-1.0343) q[0], q[3];
ry(0.7003) q[0];
cry(-0.1259) q[6], q[5];
ry(-0.4549) q[3];
cry(0.4962) q[6], q[0];
cry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
bb78aafd3760534f3907e4f69dd6636f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 2, "source": ... | {"states": [0, 2047], "expectation_value": -13.333744953199833, "params": [[[0.003, -0.5415], [0.0023, -0.0039000000000000003], [0.0021000000000000003, 0.0021000000000000003], [0.0024000000000000002, 0.0022], [0.0019, 0.002], [0.0019, 0.0022], [0.0021000000000000003, 0.0022], [0.0019, 0.0025], [0.0025, 0.0025], [0.0028... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(10) @ Z(1)) + -0.25 * (Z(10) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(10)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(11) @ Z(1)) + -0.25 * (Z(11) @ Z(10)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(10)) + -0.5 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(11)) + -0.... | 15 | 12 | 2 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.003) q[0];
ry(0.0023) q[1];
ry(0.0021) q[2];
ry(0.0024) q[3];
ry(0.0019) q[4];
ry(0.0019) q[5];
ry(0.0021) q[6];
ry(0.0019) q[7];
ry(0.0025) q[8];
ry(0.0028) q[9];
ry(0.0085) q[10];
ry(1.5881) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
6440352897ae715b0d3a7f54566e1380 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 5}, {"weight": 18, "source": 0, "target": 2}, {"weight": 7, "source": 2, "target": 3}, {"... | {"states": [126, 110], "expectation_value": -60.392240494271135, "params": [0.14930000000000002, -0.6941, 1.5823, 0.0028, 1.5822, 0.10450000000000001, 0.7894, 0.3653, 1.5849, 0.002, 1.5798, -0.0032, 1.5923, 0.2126, 0.5583, 0.461, 0.15130000000000002, 0.0038, 1.5848, 0.0088, 1.5788, 0.0009000000000000001, 0.7833, 0.0055... | 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(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 17.0 * Z(1) + 1.0 * Z(0) + 16.0 * ... | 18 | 8 | 2 | {"smallest_eigenvalues": [-67.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.1493) q[0];
rz(-0.6941) q[0];
rx(1.5823) q[1];
rz(0.0028) q[1];
rx(1.5822) q[2];
rz(0.1045) q[2];
rx(0.7894) q[3];
rz(0.3653) q[3];
rx(1.5849) q[4];
rz(0.002) q[4];
rx(1.5798) q[5];
rz(-0.0032) q[5];
rx(1.5923) q[6];
rz(0.2126) q[6];
rx(0.5583) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
aafba232bddbab68741369c28fd60f9f | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}]} | {"states": [3, 11], "expectation_value": -8.266513510635944, "params": [0.0022, 0.6289, 0.0037, 0.6202000000000001, -0.4011, 0.0123, 0.0025, 0.6451, 0.7865000000000001, 0.0621, 0.791, 0.066, 0.0045000000000000005, 0.6368, 0.00030000000000000003, 0.6291, -0.40340000000000004, -0.015000000000000001, 0.0043, 0.7093, 0.793... | 0.5 * (Z(0) @ Z(4)) + 2.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(1)) + 1.0... | 18 | 6 | 4 | {"smallest_eigenvalues": [-8.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.75, "smallest_bitstrings": ["110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0022) q[0];
rz(0.6289) q[0];
rx(0.0037) q[1];
rz(0.6202) q[1];
rx(-0.4011) q[2];
rz(0.0123) q[2];
rx(0.0025) q[3];
rz(0.6451) q[3];
rx(0.7865) q[4];
rz(0.0621) q[4];
rx(0.791) q[5];
rz(0.066) q[5];
crz(0.2379) q[5], q[0];
crz(0.179) q[4], q[5];
crz(-0.540... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
b6a304d520c14d5694a43ad2063dd94f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "so... | {"states": [3, 15], "expectation_value": -5.272963515324031, "params": null, "bitstrings": ["11100", "10000"], "total_optimization_steps": 35, "probabilities": [0.08774728748655428, 0.7910100498552921], "optimization_time": 23.739631414413452} | -0.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + 1.25 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(4)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(2) + -0.25 * Z(4) + 0.25 * Z(3) | 1 | 5 | 2 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["10000"]} | 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(1.57) q[1], q[2];
ry(0.9551) q[1];
cry(1.5707) q[2], q[3];
cry(1.5689) q[3], q[4];
ry(0.3242) q[2];
cry(-1.5527) q[4], q[0];
cry(0.3837) q[2], q[1];
cry(-0.0829) q[4], q[1];
cry(0.0565) q[4], q[3];
cry(0.0649) q[3], ... | null | {"source": 0, "sink": 4} | {"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(1.57) q[1], 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubi... |
fa1aa02644db6485d126884facd8fbe5 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 5}]} | {"states": [16, 24], "expectation_value": -3.5468130738489383, "params": [[[-0.0021000000000000003, 0.5217, 0.0034000000000000002, 0.00030000000000000003], [0.091, -0.20650000000000002, 0.0913, 0.0039000000000000003], [0.8339000000000001, -0.0032, 0.0054, 0.0022], [-0.0029000000000000002, 0.6709, -0.0006000000000000001... | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(2) @ Z(3)) + -0.75 * Z(0) + 0.0 * Z(2) + -0.25 * Z(1) + -0.75 * Z(3) + -1.0 * Z(4) + -0.75 * Z(5) | 12 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(-0.0021) q[0];
rz(0.5217) q[0];
ry(0.091) q[1];
rz(-0.2065) q[1];
ry(0.8339) q[2];
rz(-0.0032) q[2];
ry(-0.0029) q[3];
rz(0.6709) q[3];
ry(-0.0032) q[4];
rz(0.6806) q[4];
ry(-0.0024) q[5];
rz(0.6268) q[5];
cz q[1], q[0];
cz q[3], q[2];
cz q[5], q[4];
ry(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
255f1dd604659bd35e94474fe8f5241d | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2... | {"states": [3, 47], "expectation_value": -2.188757992842863, "params": [[0.06960000000000001, 0.054, 0.0587], [-0.0795, -0.0562, -0.0495]], "bitstrings": ["1111100", "1010000"], "total_optimization_steps": 10, "probabilities": [0.019222982513330107, 0.01945568013263223], "optimization_time": 4.166874647140503} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111100", "1010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.1044) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0348) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1392) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.1392) q[4];
cx q[1], q[4];
cx q[0], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
887595949ae6925e33a681a58519a274 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [14650, 15674], "expectation_value": -45.53083256343474, "params": [1.0602, 0.0081, 1.0602, 0.0039000000000000003, 3.1447000000000003, 0.0034000000000000002, 3.1447000000000003, 0.0037, 3.1445000000000003, 0.0014, -1.6340000000000001, 0.0047, -0.0031000000000000003, 0.005200000000000001, 3.1445000000000003, ... | 2.0 * (Z(2) @ Z(3)) + 2.0 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(2)) + -1.0 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(2)) + -0.5 * (Z(8) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + -1.0 * (Z(6) @ Z(8)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(9) @ Z(3)) + -0.5 * (Z(9) @ Z(2)) + -0.5 * (Z(9) @ Z(4)) + 1.0 * (Z(9) @ Z(8)) + -0.5 * (Z(9) @ Z(5)) + -1.... | 18 | 16 | 1 | {"smallest_eigenvalues": [-48.74999999999992], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -48.74999999999929, "smallest_bitstrings": ["1100001011000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(1.0602) q[0];
rz(0.0081) q[0];
rx(1.0602) q[1];
rz(0.0039) q[1];
rx(3.1447) q[2];
rz(0.0034) q[2];
rx(3.1447) q[3];
rz(0.0037) q[3];
rx(3.1445) q[4];
rz(0.0014) q[4];
rx(-1.634) q[5];
rz(0.0047) q[5];
rx(-0.0031) q[6];
rz(0.0052) q[6];
rx(3.1445) 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": 5} | {"circuits": [], "gradients": []} |
8c44c442a25e00dfae4e1647b2faf79f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}]} | {"states": [5, 6], "expectation_value": -2.4741067800343983, "params": null, "bitstrings": ["11010", "11001"], "total_optimization_steps": 15, "probabilities": [0.07397901535883082, 0.900574512415704], "optimization_time": 6.587159633636475} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["11010", "11001", "10110", "01101"]} | 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(-1.5681) q[1];
ry(-1.4449) q[0];
ry(1.4417) q[2];
cry(-1.0398) q[3], q[4];
ry(0.7022) q[3];
ry(-0.4578) q[4];
cry(0.4969) q[2], q[3];
cry(-0.3761) q[2], q[4];
cry(-0.1216) q[2], q[0];
cry(0.1097) q[3], q[2];
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(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
98ab21712d796c7a757c115b4e309c5e | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [359, 327], "expectation_value": -71.52160137877515, "params": [0.9924000000000001, 0.0366, 0.0031000000000000003, 0.6206, 0.9932000000000001, 0.167, 0.49210000000000004, 0.3079, 0.0036000000000000003, -0.6122000000000001, 0.3657, 0.3972, 0.9868, 0.048, 0.9859, -0.0018000000000000002, 0.9955, -0.0023, 1.0019... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(4) @ Z(8)) + 16.0 * Z(0) + -5.0 * Z(1) + 12.0 * Z(2) + 10.5 * Z(3) + 12.0 * Z(6) + 7.5 * Z(5) + 10.0 * Z(7) + 3.5... | 18 | 9 | 3 | {"smallest_eigenvalues": [-84.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.5, "smallest_bitstrings": ["010111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.9924) q[0];
rz(0.0366) q[0];
rx(0.0031) q[1];
rz(0.6206) q[1];
rx(0.9932) q[2];
rz(0.167) q[2];
rx(0.4921) q[3];
rz(0.3079) q[3];
rx(0.0036) q[4];
rz(-0.6122) q[4];
rx(0.3657) q[5];
rz(0.3972) q[5];
rx(0.9868) q[6];
rz(0.048) q[6];
rx(0.9859) q[7];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
b4844a241e7c75ea7eb690acd3c4c004 | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 2}, {"weight": 7, "source": 1, "target": 2}]} | {"states": [1, 0], "expectation_value": -0.9999722073305906, "params": [-0.0015, 0.0852, -0.0048000000000000004, 0.0826, -0.0006000000000000001, 0.0891, -0.0006000000000000001, 0.0039000000000000003, 0.008400000000000001, 0.0034000000000000002], "bitstrings": ["0", "1"], "total_optimization_steps": 10, "probabilities":... | -1.0 * Z(0) | 8 | 1 | 2 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": 1.0, "smallest_bitstrings": ["1"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[1] c;
qubit[1] q;
rx(-0.0015) q[0];
rz(0.0852) q[0];
rx(-0.0048) q[0];
rz(0.0826) q[0];
rx(-0.0006) q[0];
rz(0.0891) q[0];
rx(-0.0006) q[0];
rz(0.0039) q[0];
c[0] = measure q[0]; | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[1] c;
qubit[1] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[0];
rz(x3) q[0];
rx(x4) q[0];
rz(x5) q[0];
rx(x4) q[0];
rz(x6) q[0];
c[0] = measure q... | {"start_node": 0, "end_node": 2} | {"circuits": [], "gradients": []} |
e60ca187b2aa1b0a553cfc8d9bd214a9 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 7}, {"weight": 7, "sourc... | {"states": [469, 213], "expectation_value": -71.70517182306011, "params": [0.1746, -0.09380000000000001, 0.1728, -0.0989, 0.3936, 0.0621, 0.38830000000000003, 0.021400000000000002, 0.389, 0.0307, 0.398, 0.00030000000000000003, 0.14650000000000002, -0.08600000000000001, 0.1471, -0.0918, 0.3956, 0.0436, 0.389800000000000... | 5.0 * (Z(0) @ 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(4)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) @ Z(7)) + 14.5 * Z(1) + 5.0 * Z(0) + 14.5 * Z(2) + 3.5 * Z(3) + 15... | 5 | 9 | 4 | {"smallest_eigenvalues": [-79.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["100101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.1746) q[0];
rz(-0.0938) q[0];
rx(0.3936) q[1];
rz(0.0621) q[1];
rx(0.389) q[2];
rz(0.0307) q[2];
rx(0.1465) q[3];
rz(-0.086) q[3];
rx(0.3956) q[4];
rz(0.0436) q[4];
rx(0.0795) q[5];
rz(-0.1203) q[5];
rx(0.3899) q[6];
rz(0.0358) q[6];
rx(0.0725) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
e0b9c24fb45ae4a4b516382818d3356a | 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": 1, "target": 2}, {"source": 3, "target": 5}, {"source": ... | {"states": [1016, 888], "expectation_value": -14.555837175457855, "params": null, "bitstrings": ["0000000111", "0010000111"], "total_optimization_steps": 100, "probabilities": [0.15460317176676242, 0.4273274262766204], "optimization_time": 154.7512183189392} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(2) @ Z(8)) + -2.5 * (Z(2) @ Z(7)) + 1.0 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 *... | 5 | 10 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["0010000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
ry(-1.5708) q[7];
ry(-1.2796) q[2];
ry(-1.5708) q[9];
cry(1.5681) q[1], q[3];
cry(1.5708) q[3], q[0];
cry(1.2536) q[0], q[1];
cry(0.9511) q[0], q[2];
cry(-0.2393) q[1], q[2];
cry... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5... |
1b146c0365a13411191347bfcee6d38e | 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": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 6}, ... | {"states": [67, 94], "expectation_value": -0.10436373919888553, "params": [[0.0626], [-0.0516]], "bitstrings": ["0111100", "0100001"], "total_optimization_steps": 10, "probabilities": [0.008370722943424634, 0.008578006601553818], "optimization_time": 1.06937837600708} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(1) + 0.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(5) + -1.5 * Z(6) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0100001"]} | 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(0.0626) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0626) q[2];
cx q[1], q[2];
cx q[1], q[5];
rz(0.0626) q[5];
cx q[1], q[5];
cx q[1], q[6];
rz(0.0626) q[6];
cx q[1], q[6];
cx q[2], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[1], q[5];
rz(... | null | {"circuits": [], "gradients": []} |
354c47a62380c32918d9e60e32b5d7f3 | 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": [473, 345], "expectation_value": -57.049514517565896, "params": [1.1988, 0.3175, 0.8227, 0.41600000000000004, 1.1972, 0.1553, 0.5839, 0.5411, 1.1948, 0.24200000000000002, 1.192, -0.0018000000000000002, 0.0025, 0.898, -0.0018000000000000002, 0.802, 1.2003000000000001, -0.001, 1.1976, 0.0047, 0.834900000000000... | 6.0 * (Z(2) @ Z(1)) + 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(0) @ Z(2)) + 6.0 * (Z(5) @ Z(2)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(3) @ Z(5)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(8) @ Z(2)) + 6.0 * (Z(8) @ Z(5)) + 6.0 * (Z(7) @ Z(8)) + 5.0 * Z(1) + 21.5 * Z(2) + 9.5 * Z(0) + 17.5 * Z(5) + 6.5 * Z(4) + 2.0 * Z(3) + 16.0 * Z(8) + -4.0 *... | 18 | 9 | 2 | {"smallest_eigenvalues": [-77.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["010100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.1988) q[0];
rz(0.3175) q[0];
rx(0.8227) q[1];
rz(0.416) q[1];
rx(1.1972) q[2];
rz(0.1553) q[2];
rx(0.5839) q[3];
rz(0.5411) q[3];
rx(1.1948) q[4];
rz(0.242) q[4];
rx(1.192) q[5];
rz(-0.0018) q[5];
rx(0.0025) q[6];
rz(0.898) q[6];
rx(-0.0018) q[7];
rz(0.80... | OPENQASM 3.0;
include "stdgates.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], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
6240facbcac03ac60847995c8221b912 | 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": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "s... | {"states": [256, 255], "expectation_value": -0.5244543658197413, "params": [[0.0777], [-0.0825]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0027235434050308176, 0.002828662681019228], "optimization_time": 6.603002548217773} | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -0.75 * (Z(8) @ Z(2)) + 1.0 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(8)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(6) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["100000000"]} | 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(-0.0777) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(-0.1554) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.0389) q[5];
cx q[0], q[5];
cx q[5], q[1];
rz(-0.1166) q[1];
cx q[5], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
fa5ac40f7633e062ace3acdae8758a5b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 4, "source": 0, "target":... | {"states": [168, 936], "expectation_value": -14.631882584767713, "params": [-0.0035, -0.001, -0.2343, -0.2788, -0.033, 0.0485, -0.0054, 0.0056, -0.0018000000000000002, -0.00030000000000000003, 0.2622, 0.3415, 0.0038, 0.0035, 0.3297, 0.33490000000000003, -0.0016, -0.0047, -0.006900000000000001, 0.0009000000000000001, -0... | -0.75 * (Z(0) @ Z(6)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(0)) + -1.0 * (Z(10) @ Z(0)) + -0.5 * (Z(1) @ Z(9)) + -0.25 * (Z(2) @ Z(6)) + 2.25 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.25 * (Z(3) @ Z(8)) + -1.25 * (Z(4) @ Z(8)) + -1.0 * (Z(4) @ Z(10)) + -1.25 * (Z(4) @ Z(9)) + -1.0 * (Z(4)... | 14 | 11 | 4 | {"smallest_eigenvalues": [-17.0, -17.0, -17.0, -17.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -15.0, "smallest_bitstrings": ["10011010111", "10011010101", "10001010111", "10001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0035) q[0];
ry(-0.2343) q[1];
ry(-0.033) q[2];
ry(-0.0054) q[3];
ry(-0.0018) q[4];
ry(0.2622) q[5];
ry(0.0038) q[6];
ry(0.3297) q[7];
ry(-0.0016) q[8];
ry(-0.0069) q[9];
ry(-0.0049) q[10];
crx(0.647) q[10], q[0];
crx(0.467) q[9], q[10];
crx(0.657) q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
836c884d7f0cabd4f561d6ff6961863c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 4, "source": 1, ... | {"states": [125, 127], "expectation_value": -1.0090021923732442, "params": [[0.0235, 0.0132, 0.052000000000000005, -0.0623], [-0.031200000000000002, -0.012400000000000001, -0.049, 0.0077]], "bitstrings": ["10000010", "10000000"], "total_optimization_steps": 10, "probabilities": [0.006140320204488212, 0.0061950176598934... | -0.5 * (Z(0) @ Z(6)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -1.0 * (Z(4) @ Z(3)) + -1.75 * (Z(4) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(1)) + -1.25 * (Z(7) @ Z(4)) + -1.5 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(7)) + -0.75 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @... | 1 | 8 | 4 | {"smallest_eigenvalues": [-14.0, -14.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.0, "smallest_bitstrings": ["10000000", "10000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[0];
rz(-0.0235) q[0];
cx q[6], q[0];
cx q[3], q[1];
rz(-0.0353) q[1];
cx q[3], q[1];
cx q[6], q[4];
rz(-0.0235) q[4];
cx q[6], q[4];
cx q[3], q[4];
rz(-0.047) q[4];
cx q[3], q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
d73d59d8534bb2db64056b6b376ab049 | 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": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, ... | {"states": [0, 127], "expectation_value": -6.37090997639858, "params": [[[0.0005, 0.6298], [0.0028, -0.001], [0.0025, 0.0021000000000000003], [0.0024000000000000002, 0.002], [0.0021000000000000003, 0.0025], [0.0028, 0.0025], [0.0068000000000000005, -0.3375], [1.5425, -0.0017000000000000001]], [[-0.3417, -1.597500000000... | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(2)) + 1.0 * (Z(7) @ Z... | 15 | 8 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.0005) q[0];
ry(0.0028) q[1];
ry(0.0025) q[2];
ry(0.0024) q[3];
ry(0.0021) q[4];
ry(0.0028) q[5];
ry(0.0068) q[6];
ry(1.5425) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
ceada473950316c985fdaa58a8618609 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [88, 92], "expectation_value": -1.9397179934148394, "params": [0.004200000000000001, 0.3426, 0.6021000000000001, 0.010400000000000001, 0.38880000000000003, -0.0882, 0.6071000000000001, -0.015300000000000001, 0.6047, -0.002, 0.5981000000000001, 0.0039000000000000003, 0.008700000000000001, -0.1184, 0.1527, 0.2... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(4) @ Z(1) @ Z(2)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 16 | 8 | 3 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["10100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0042) q[0];
rz(0.3426) q[0];
rx(0.6021) q[1];
rz(0.0104) q[1];
rx(0.3888) q[2];
rz(-0.0882) q[2];
rx(0.6071) q[3];
rz(-0.0153) q[3];
rx(0.6047) q[4];
rz(-0.002) q[4];
rx(0.5981) q[5];
rz(0.0039) q[5];
rx(0.0087) q[6];
rz(-0.1184) q[6];
rx(0.1527) 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": []} |
3179afe1dc957b5c6c41286c03203dc8 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [84, 22], "expectation_value": -3.989065418603672, "params": null, "bitstrings": ["0101011", "1101001"], "total_optimization_steps": 28, "probabilities": [0.06023650841909519, 0.8645372942717928], "optimization_time": 18.820035934448242} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + -1.5 * Z(6) + 0.0 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["1101001", "1011001", "1100110", "0101011", "1100101", "0100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[1];
ry(-1.5681) q[6];
ry(1.4449) q[2];
cry(-1.0343) q[5], q[0];
cry(-1.0342) q[4], q[3];
ry(0.7003) q[5];
ry(0.7003) q[4];
ry(-0.4549) q[0];
cry(0.4963) q[2], q[5];
ry(-0.4549) q[3];
cry(0.4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
5c8d577142051cc6578aa40532e6b2ab | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 1, "s... | {"states": [416, 163], "expectation_value": -8.298144705025315, "params": null, "bitstrings": ["001011111", "101011100"], "total_optimization_steps": 66, "probabilities": [0.09194771836542422, 0.7579632659312541], "optimization_time": 94.8865795135498} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + 1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(7)) + -0.25 * (Z(8) @ Z(1)) + -1.5 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(8)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-8.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.75, "smallest_bitstrings": ["101011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.5708) q[4];
ry(-1.5708) q[2];
cry(-1.5681) q[8], q[0];
ry(0.8443) q[8];
ry(1.5185) q[1];
ry(-0.4061) q[0];
cry(0.4511) q[1], q[8];
cry(-0.243) q[1], q[0];
ry(1.3648) q[3];
cry(1.3645... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
-4754347706470252419 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2], [2, 3, 7], [1, 3, 5], [0, 3, 6], [0, 4], [0, 1, 7]]} | {"states": [29, 149], "expectation_value": -2.1773588883269817, "params": null, "bitstrings": ["11100010", "01101010"], "total_optimization_steps": 45, "probabilities": [0.02784073755346207, 0.8704100527805628], "optimization_time": 65.84607172012329} | 0.5 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["01101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.4449) q[3];
cry(-1.0342) q[0], q[4];
ry(0.9727) q[0];
cry(-1.3747) q[0], q[2];
ry(-0.6623) q[4];
cry(0.3524) q[3], q[0];
ry(0.7892) q[7];
cry(-0.6926) q[0], q[6];
cry(-0.5948) q[5], q[1];
cry... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) 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[... |
b4844a241e7c75ea7eb690acd3c4c004 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [4, 2], "expectation_value": -0.10741910432601334, "params": [[-0.0257, -0.028900000000000002, -0.0339, -0.0611], [0.0234, 0.0245, 0.030600000000000002, 0.0538]], "bitstrings": ["011", "101"], "total_optimization_steps": 10, "probabilities": [0.1345500651817636, 0.13455006518176366], "optimization_time": 2.9... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) | 1 | 3 | 4 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "101", "011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(-0.0257) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0257) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0257) q[1];
cx q[2], q[1];
rz(0.0257) q[0];
rz(0.0257) q[1];
rz(0.0257) q[2];
h q[0];
rz(0.0468) q[0];
h q[0];
h 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] 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[3] c;
qubit[3] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
3576942539001390434 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 2], [1, 2, 3]]} | {"states": [6, 3], "expectation_value": -0.6580632820980631, "params": null, "bitstrings": ["1001", "1100"], "total_optimization_steps": 16, "probabilities": [0.1884678603761805, 0.4229033830896447], "optimization_time": 8.544899702072144} | 0.5 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666663 * Z(2) + 0.0 * Z(0) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-0.8333333333333333, -0.8333333333333333, -0.8333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.5, "smallest_bitstrings": ["1100", "1001", "0010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cry(-1.0342) q[2], q[0];
ry(0.971) q[2];
ry(-0.6611) q[0];
cry(0.2827) q[3], q[2];
cry(-0.3385) q[3], q[1];
cry(0.2209) q[1], q[2];
cry(-0.1959) q[3], q[0];
ry(0.2778) q[3];
cry(-0.2892) q[1], q[3];
cry(-0.1162) q[1], q[0];
cry(... | 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];\ncry(-1.0342) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh... |
9aafe0580999b1b0b4b8e8eda0d2bc18 | 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": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": ... | {"states": [5, 33], "expectation_value": -2.910603879608093, "params": null, "bitstrings": ["111010", "011110"], "total_optimization_steps": 20, "probabilities": [0.06070092546581366, 0.7871871279988792], "optimization_time": 12.5225350856781} | 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(1)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(2) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.0, "smallest_bitstrings": ["011110", "111100", "111010", "010111", "110101", "101110", "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];
ry(-1.5708) q[1];
ry(-1.4449) q[4];
cry(-1.0398) q[0], q[3];
cry(-1.0342) q[5], q[2];
ry(0.7003) q[5];
ry(0.6944) q[0];
ry(-0.4549) q[2];
ry(-0.451) q[3];
cry(0.4573) q[0], q[5];
cry(0.4514) q[5], q[0];
cry(-0.35... | 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[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
c27e04a1b516da945dec2e0c25bb156f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [256, 129], "expectation_value": -18.330253475223586, "params": null, "bitstrings": ["011111111", "101111110"], "total_optimization_steps": 56, "probabilities": [0.12370274241009936, 0.6775043444876436], "optimization_time": 88.44811201095581} | -0.5 * (Z(0) @ Z(4)) + -1.75 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(0)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + 2.0 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(1)) + -2.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(6)) + -1.0 * (Z(2) @ Z(7)) + -1.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(... | 1 | 9 | 2 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.25, "smallest_bitstrings": ["101111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.5708) q[6];
cry(-1.5708) q[8], q[0];
ry(1.0958) q[8];
ry(-1.5708) q[7];
ry(-1.5708) q[2];
ry(-1.4894) q[4];
ry(-1.4915) q[5];
ry(-1.5709) q[3];
ry(-0.581) q[0];
cry(0.3802) q[1], q[8... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[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] = ... |
87e4a0ae0cc3528b58dd801d18946847 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 3}, {"capac... | {"states": [512, 511], "expectation_value": -0.22319677657084086, "params": [[0.0475], [-0.0357]], "bitstrings": ["0111111111", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0011514699880168671, 0.0011562302647723996], "optimization_time": 3.6686830520629883} | -0.5 * (Z(0) @ Z(3)) + -1.5 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -1.0 * (Z(1) @ Z(6)) + -0.25 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + 1.0 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(1)) + -1.0 * (Z(2) @ Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[3], q[0];
rz(-0.0475) q[0];
cx q[3], q[0];
cx q[3], q[6];
rz(-0.1425) q[6];
cx q[3], q[6];
cx q[0], q[6];
rz(-0.0238) q[6];
cx q[0], q[6];
cx q[3], q[1];
rz(-0.0713) q[1];
c... | 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[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 ... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
b6a304d520c14d5694a43ad2063dd94f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "so... | {"states": [16, 15], "expectation_value": -0.4227231256673142, "params": [[-0.0354, -0.0531], [0.0287, 0.0546]], "bitstrings": ["01111", "10000"], "total_optimization_steps": 10, "probabilities": [0.03858120983882802, 0.03940024550651823], "optimization_time": 2.8741440773010254} | -0.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + 1.25 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(4)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(2) + -0.25 * Z(4) + 0.25 * Z(3) | 1 | 5 | 2 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["10000"]} | 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(0.0354) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1416) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0354) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.0177) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.0885) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": 4} | {"circuits": [], "gradients": []} |
60668963da06e834e19f76557703de50 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [702, 830], "expectation_value": -19.471377768143483, "params": [0.0022, -0.6662, 0.002, 0.0073, 0.0024000000000000002, -0.7287, 0.0023, 0.008, 0.0024000000000000002, -0.8267, 0.0023, 0.0014, 1.4035, -0.0131, 1.3997000000000002, 0.0045000000000000005, 0.9361, 0.3084, 0.9177000000000001, 0.008700000000000001,... | -0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(12) @ Z(3)) + 0.5 * (Z(7) @ Z(12)) + 0.5 * (Z(8) @ Z(12)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(12)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + 0... | 5 | 13 | 1 | {"smallest_eigenvalues": [-20.5, -20.5, -20.5, -20.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -20.166666666666664, "smallest_bitstrings": ["1110010000000", "1110100000000", "1110011000001", "1110101000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.0022) q[0];
rz(-0.6662) q[0];
rx(0.0024) q[1];
rz(-0.7287) q[1];
rx(0.0024) q[2];
rz(-0.8267) q[2];
rx(1.4035) q[3];
rz(-0.0131) q[3];
rx(0.9361) q[4];
rz(0.3084) q[4];
rx(0.9119) q[5];
rz(0.309) q[5];
rx(0.0026) q[6];
rz(0.9319) q[6];
rx(1.4005) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
91fd701868951eab612ba86420778b2e | kclique | 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": 2, "target": 3}, {"source": ... | {"states": [18, 3], "expectation_value": -9.18298572523663, "params": [[-0.0541, -0.0315, -0.0055000000000000005], [0.07690000000000001, 0.0747, 0.0684]], "bitstrings": ["101101", "111100"], "total_optimization_steps": 10, "probabilities": [0.039067352154398625, 0.04286916051057599], "optimization_time": 4.969539880752... | 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)) + 2.25 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.5 ... | 10 | 6 | 3 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"]} | 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(-0.2434) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2434) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2434) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2434) q[3];
cx q[1], q[3];
cx q[0], q[3];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 4} | {"circuits": [], "gradients": []} |
589a81c8fd04d28f25b3e8e25563f55c | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 3, "source": 3, ... | {"states": [124, 127], "expectation_value": -5.241560433872697, "params": null, "bitstrings": ["10000011", "10000000"], "total_optimization_steps": 65, "probabilities": [0.0020220243148332756, 0.9938053867040454], "optimization_time": 67.0836431980133} | 0.25 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * Z(7) + -0.25 * Z(0) + 0.0 * Z(4) + -0.25 * Z(1) + 1.25 * Z(3) + -1.25 * Z(2) + -0.5 * Z(6) + 1.25 * Z(5) | 1 | 8 | 4 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5706) q[3];
cry(1.5706) q[3], q[5];
cry(1.4449) q[3], q[1];
cry(1.4433) q[1], q[4];
cry(1.4424) q[4], q[6];
ry(1.4449) q[2];
cry(-1.0342) q[3], q[0];
cry(1.4106) q[6], q[7];
cry(-0.5042) q[7]... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
af7ff602e385e2b324d14d3396a2867f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 6}]} | {"states": [101, 103], "expectation_value": -0.14102796367764958, "params": [[-0.08710000000000001], [0.0794]], "bitstrings": ["0011010", "0011000"], "total_optimization_steps": 10, "probabilities": [0.008996098132330203, 0.009452231883432093], "optimization_time": 1.23045015335083} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011000"]} | 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(-0.0871) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0871) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(-0.0871) q[1];
cx q[2], q[1];
cx q[2], q[5];
rz(-0.0871) q[5];
cx q[2], q[5];
cx q[3], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(... | null | {"circuits": [], "gradients": []} |
847083b10922884c06975a23450a6e62 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 2, "target":... | {"states": [510, 508], "expectation_value": -1.506940621313339, "params": [[0.06960000000000001], [-0.0738]], "bitstrings": ["000000001", "000000011"], "total_optimization_steps": 10, "probabilities": [0.003364607573161077, 0.0033694624614730466], "optimization_time": 1.046041488647461} | -3.0 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + -2.0 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + -2.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -2.0 * (Z(5) @ Z(3)) + 0.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["000000011"]} | 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(-0.4176) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(0.0696) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.2784) q[4];
cx q[0], q[4];
cx q[2], q[6];
rz(0.0696) q[6];
cx q[2], q[6]... | 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[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(x0) q[0];
cx q[2], q[0];
cx q[... | {"node": 7} | {"circuits": [], "gradients": []} |
339a57bb1c23f4470580bb80982f1c3f | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [78, 90], "expectation_value": -4.999875909107173, "params": null, "bitstrings": ["0110001", "0100101"], "total_optimization_steps": 36, "probabilities": [1.717989237750008e-05, 0.9999250378337363], "optimization_time": 40.91340136528015} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(4) + -0.5 * Z(0) + -2.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(1) + -0.5 * Z(5) + 0.0 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0100101"]} | 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[4];
ry(-1.4449) q[1];
ry(1.4449) q[3];
ry(1.4417) q[0];
ry(1.4417) q[5];
ry(1.4384) q[2];
cry(-0.1259) q[5], q[1];
cry(-0.1259) q[2], q[4];
cry(0.1246) q[3], q[2];
cry(0.12... | 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", ... |
86f7cf811774c9dc1f8ac7ebefafd51c | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}, {"weight": 1, "source": 2, "target": 5}, {"weight": 1, "... | {"states": [1450, 1370], "expectation_value": -0.34405610711915063, "params": [[0.4632], [-0.4026]], "bitstrings": ["101001010101", "101010100101"], "total_optimization_steps": 50, "probabilities": [0.000852723008107303, 0.0008527230081073031], "optimization_time": 6.761716365814209} | 0.25 * (Z(0) @ Z(1)) + -0.0020000000000000005 * (Z(2) @ Z(0)) + -0.0020000000000000005 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00075 * (Z(4) @ Z(0)) + -0.0010000000000000002 * (Z(4) @ Z(2)) + 0.00075 * (Z(5) @ Z(1)) + -0.0010000000000000002 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00025000000000000006 * (Z(6) @ Z(... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.5160000000000005], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.516, "smallest_bitstrings": ["101010100101"]} | 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(0.2316) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0019) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0019) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
8f9556ded5862d313741f5f580f26f44 | 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": 2, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 3}, {"weight": 11, "source": 1, "target": 6}, {"weight": 13, "source": 1, "tar... | {"states": [345, 236], "expectation_value": -18.463910948219542, "params": [[0.0099, -0.029400000000000003, -0.024900000000000002, -0.0011], [-0.0216, 0.0446, 0.062400000000000004, 0.0582]], "bitstrings": ["010100110", "100010011"], "total_optimization_steps": 10, "probabilities": [0.007297965962128545, 0.0114903160000... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 6.0 * Z(1) + 5.5 * Z(0) + 10.0 * Z(3) + 11.0 * Z(2) + 5.... | 1 | 9 | 4 | {"smallest_eigenvalues": [-77.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "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[1], q[0];
rz(0.0891) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.0891) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.0891) q[2];
cx q[0], q[2];
cx q[3], q[2];
rz(0.0891) q[2];
cx q[3], q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
-2809900685991858373 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 2, 3, 5, 7, 8, 9, 10], [0, 1, 2, 4, 6, 7, 8, 9, 10], [0, 3, 4, 5, 6, 7, 9, 10], [0, 1, 2, 3, 6, 7, 10], [0, 1, 2, 3, 4, 7, 8, 9], [0, 1, 3, 6, 7, 8, 10], [1, 3, 5, 6, 8, 9, 10], [1, 3, 4, 6, 8, 9, 10], [0, 1, 3, 4, 5, 7, 8, 9], [0, 1, 2, 3, 4, 5, 7, 8]... | {"states": [939, 1003], "expectation_value": -2.3665405164130604, "params": [0.3327, -0.9964000000000001, 0.3069, 0.0068000000000000005, 1.8318, -0.5076, 1.2841, 0.0083, 1.576, -0.0036000000000000003, 1.5714000000000001, 0.0035, 1.5564, 0.0018000000000000002, 1.5787, 0.0064, 0.9749000000000001, 0.39440000000000003, 0.9... | 0.19444444444444442 * (Z(0) @ Z(1)) + 0.1111111111111111 * (Z(2) @ Z(1)) + 0.1349206349206349 * (Z(2) @ Z(0)) + 0.22817460317460314 * (Z(3) @ Z(1)) + 0.22222222222222218 * (Z(3) @ Z(0)) + 0.12103174603174602 * (Z(3) @ Z(2)) + 0.12103174603174602 * (Z(5) @ Z(1)) + 0.11507936507936507 * (Z(5) @ Z(0)) + 0.0555555555555555... | 7 | 11 | 1 | {"smallest_eigenvalues": [-2.511904761904762], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4940476190476195, "smallest_bitstrings": ["10000010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.3327) q[0];
rz(-0.9964) q[0];
rx(1.8318) q[1];
rz(-0.5076) q[1];
rx(1.576) q[2];
rz(-0.0036) q[2];
rx(1.5564) q[3];
rz(0.0018) q[3];
rx(0.9749) q[4];
rz(0.3944) q[4];
rx(1.5376) q[5];
rz(0.2802) q[5];
rx(0.2158) q[6];
rz(-0.9417) q[6];
rx(1.6356) 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": []} |
2ab47fb8cea03fd4116981e3684cca3b | 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": [438, 182], "expectation_value": -75.11169751207684, "params": [0.0028, 1.0391000000000001, 0.7947000000000001, 0.43960000000000005, 1.4028, 0.010400000000000001, 0.0031000000000000003, 0.914, 1.3996000000000002, -0.0031000000000000003, 1.4029, 0.3155, 0.3501, 0.6224000000000001, 1.3933, 0.0188, 1.3978000000... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(9) @ Z(4)) + 6.0 * (Z(7) @ Z(9)) + 6.0 * (Z(8) @ Z(1)) + 6.0 * (Z(8) @ Z(5)) + 6.0 * (Z(8) @ Z(9)) + 6.0 * (Z(8) @ Z(7)) + 6.0 * Z(2) + 10.5 * Z(1) + -5.0 * Z(3) + 8.0 * Z(4) + 1.5 * Z(6) + 12.5 * Z(5)... | 18 | 10 | 2 | {"smallest_eigenvalues": [-93.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.0, "smallest_bitstrings": ["1101001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0028) q[0];
rz(1.0391) q[0];
rx(0.7947) q[1];
rz(0.4396) q[1];
rx(1.4028) q[2];
rz(0.0104) q[2];
rx(0.0031) q[3];
rz(0.914) q[3];
rx(1.3996) q[4];
rz(-0.0031) q[4];
rx(1.4029) q[5];
rz(0.3155) q[5];
rx(0.3501) q[6];
rz(0.6224) q[6];
rx(1.3933) 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": []} |
da3c81488557dc57e6e1f0bd43d65336 | 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": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [42, 41], "expectation_value": -2.999862368845878, "params": null, "bitstrings": ["010101", "010110"], "total_optimization_steps": 28, "probabilities": [1.7185116648684505e-05, 0.9999311603755043], "optimization_time": 15.98145866394043} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) + -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": ["010110", "101001"]} | 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(-1.4449) q[1];
ry(-1.4449) q[4];
ry(-1.4449) q[3];
ry(1.4384) q[5];
ry(1.4384) q[2];
ry(1.4384) q[0];
cry(-0.1259) q[2], q[3];
cry(-0.1259) q[5], q[4];
cry(-0.1259) q[2], q[1];
cry(0.1248) q[5], q[0];
cry(0.12... | 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(-1.4449) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
1323656156022397186 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 3, 4], [0, 1, 3, 5], [0, 1, 3, 4], [1, 2], [4, 5]]} | {"states": [50, 45], "expectation_value": -0.4292194380803295, "params": [[-0.269], [0.27440000000000003]], "bitstrings": ["001101", "010010"], "total_optimization_steps": 30, "probabilities": [0.028891460524593456, 0.029289393274660847], "optimization_time": 1.4479565620422363} | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.0833333... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.666666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5833333333333333, "smallest_bitstrings": ["010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.0448) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0448) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.1345) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(-0.0448) q[4];
cx q[2], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
c... | null | {"circuits": [], "gradients": []} |
-6164536770074048574 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 3, 5, 7], [1, 10, 11, 4], [1, 11, 6], [0, 1, 2, 3, 7, 8, 9], [2, 11], [0, 1, 2, 4, 5, 6, 7, 8], [0, 2, 4, 5, 6, 8, 9, 10], [3, 4, 5, 7, 8, 9, 10, 11], [2, 4, 5, 7, 8, 9], [0, 1, 3, 4, 5, 6, 7, 9], [0, 1, 2, 3, 4, 6, 8, 9, 10], [0, 1, 4, 5, 7, 8, 9, 10... | {"states": [2549, 2555], "expectation_value": -3.690803983441977, "params": [1.856, 1.268, 0.2154, 0.5736, -0.0029000000000000002, -0.023700000000000002, 1.6304, 1.5063, 1.5241, 1.6078000000000001, 1.4291, 1.7048, 1.73, 1.3478, 1.2884, 1.7799, 1.5051, 1.5988, 1.8705, 1.272, 1.6826, 1.262, 1.2155, 1.4479, 0.9623, 1.4567... | 0.13888888888888887 * (Z(2) @ Z(3)) + 0.19246031746031744 * (Z(5) @ Z(3)) + 0.17023809523809522 * (Z(5) @ Z(2)) + 0.24007936507936506 * (Z(7) @ Z(3)) + 0.21547619047619046 * (Z(7) @ Z(2)) + 0.20198412698412696 * (Z(7) @ Z(5)) + 0.1765873015873016 * (Z(1) @ Z(3)) + 0.07936507936507936 * (Z(1) @ Z(2)) + 0.091269841269841... | 14 | 12 | 1 | {"smallest_eigenvalues": [-4.177777777777778], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.15238095238095, "smallest_bitstrings": ["011000000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.856) q[0];
ry(0.2154) q[1];
ry(-0.0029) q[2];
ry(1.6304) q[3];
ry(1.5241) q[4];
ry(1.4291) q[5];
ry(1.73) q[6];
ry(1.2884) q[7];
ry(1.5051) q[8];
ry(1.8705) q[9];
ry(1.6826) q[10];
ry(1.2155) q[11];
crx(0.9623) q[11], q[0];
crx(1.2464) q[10], q[11];
crx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
3416478911775557608 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 5, 6], [1, 2], [2, 5], [3, 4, 5], [0, 2, 6], [1, 4], [0, 3, 4]]} | {"states": [57, 29], "expectation_value": -2.6853845148879976, "params": null, "bitstrings": ["1000110", "1100010"], "total_optimization_steps": 34, "probabilities": [0.0594884830556892, 0.8937306074696448], "optimization_time": 38.63266730308533} | 0.3333333333333333 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(0) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5000000000000004, "smallest_bitstrings": ["1100010"]} | 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(1.4449) q[3];
cry(-1.0342) q[4], q[1];
ry(1.3116) q[2];
cry(-1.4358) q[2], q[5];
ry(0.9689) q[4];
cry(-0.8856) q[2], q[1];
cry(0.5245) q[2], q[4];
cry(0.1621) q[3], q[2];
ry(0.7601) q[6];
cry(-1.0585) ... | 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(1.4449) 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", "... |
fb6267fe9e00f958431b621d7db08da1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [0, 1], "expectation_value": -4.044138092580857, "params": [[[0.0033, 0.39840000000000003], [0.0022, 0.532], [-0.0004, 0.1879], [0.0026000000000000003, 0.5786], [0.0029000000000000002, 0.39440000000000003], [0.0024000000000000002, 0.5965], [0.8049000000000001, -0.0037]], [[0.0041, 0.0097], [0.0023, 0.003], [... | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + 0.5 * Z(6) + -1.0 * Z(1) + 0.0 * Z(2) + 0.25 * Z(3) + 0.... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0033) q[0];
rz(0.3984) q[0];
rx(0.0022) q[1];
rz(0.532) q[1];
rx(-0.0004) q[2];
rz(0.1879) q[2];
rx(0.0026) q[3];
rz(0.5786) q[3];
rx(0.0029) q[4];
rz(0.3944) q[4];
rx(0.0024) q[5];
rz(0.5965) q[5];
rx(0.8049) q[6];
rz(-0.0037) q[6];
rx(0.0041) 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
db9bec2bea45545e045b5cbbf4ab1f9f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 5, "source": 0, "target": 5}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target":... | {"states": [49, 1007], "expectation_value": -0.015089678249937927, "params": [[0.0097, 0.1013, 0.0063, 0.0027, 0.0021000000000000003, 0.0045000000000000005, 0.0025, 0.0085, 0.0006000000000000001, 0.09570000000000001, 0.0018000000000000002], [0.001, 0.1015, -0.002, 0.0044, 0.0027, 0.0088, 0.0092, 0.0051, 0.0016, 0.0959,... | -1.25 * (Z(0) @ Z(6)) + -2.0 * (Z(4) @ Z(6)) + -1.25 * (Z(1) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(5)) + -1.25 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -1.25 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(3)) + -0.25 * (Z(9) @... | 9 | 11 | 2 | {"smallest_eigenvalues": [-21.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.75, "smallest_bitstrings": ["10000010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(0.0097) q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
0ae9b6f2b61290137ab22e2dafb0c164 | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 23, "source": 0, "target": 4}, {"weight": 2, "source": 1, "target": 2}, {"weight": 21, "source": 1, "target": 3}, {"weight": 5, "source": ... | {"states": [371, 427], "expectation_value": -0.24279169243305512, "params": [[0.0673], [-0.051500000000000004]], "bitstrings": ["010001100", "001010100"], "total_optimization_steps": 10, "probabilities": [0.0022078920443827916, 0.0022078920443827916], "optimization_time": 4.8903868198394775} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 5 | 9 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010100", "001100010", "010001100", "010100001", "100010001", "100001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.0673) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0673) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0673) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.0673) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} |
76e68a1495e152849a2a24532bb1961c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 2}, {"weight": 5, "source": 2, "target": 3}, {"weight": 12, "source... | {"states": [190, 182], "expectation_value": -75.89451588050257, "params": [-0.0037, 0.5904, 1.0687, 0.1763, 0.31620000000000004, 0.4128, 1.0735000000000001, 0.1631, 1.0688, 0.0081, 0.47440000000000004, 0.34700000000000003, 1.0718, 0.1801, 1.0691000000000002, -0.0056, 0.2901, 0.38330000000000003, -0.0079, 0.5999, 1.0712... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) ... | 3 | 9 | 3 | {"smallest_eigenvalues": [-84.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["101001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0037) q[0];
rz(0.5904) q[0];
rx(1.0687) q[1];
rz(0.1763) q[1];
rx(0.3162) q[2];
rz(0.4128) q[2];
rx(1.0735) q[3];
rz(0.1631) q[3];
rx(1.0688) q[4];
rz(0.0081) q[4];
rx(0.4744) q[5];
rz(0.347) q[5];
rx(1.0718) q[6];
rz(0.1801) q[6];
rx(1.0691) q[7];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
9165708408815368343 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 2, 3, 7], [8, 10], [1, 2, 5, 6, 7, 8], [0, 10, 3, 6], [0, 1, 2, 3, 5, 9, 10], [0, 8, 2, 1], [0, 1, 3, 6, 7, 9], [4, 5]]} | {"states": [1884, 1948], "expectation_value": -2.12147695941123, "params": [[[2.3984, -1.2269, 0.0053, 0.0016], [-0.0023, -1.2268000000000001, -0.003, 0.0078000000000000005], [1.5681, -0.0024000000000000002, 1.5678, 0.0091], [1.9858, -0.0019, 1.1492, 0.0078000000000000005], [1.4953, -0.0024000000000000002, -0.0784, 0.0... | 0.2238095238095238 * (Z(1) @ Z(3)) + 0.10714285714285714 * (Z(4) @ Z(3)) + 0.14047619047619048 * (Z(4) @ Z(1)) + 0.11666666666666667 * (Z(8) @ Z(3)) + 0.15 * (Z(8) @ Z(1)) + 0.11666666666666667 * (Z(8) @ Z(4)) + 0.11666666666666667 * (Z(9) @ Z(3)) + 0.11666666666666667 * (Z(9) @ Z(1)) + 0.03333333333333333 * (Z(9) @ Z(... | 11 | 11 | 1 | {"smallest_eigenvalues": [-2.307142857142857, -2.307142857142857], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.2928571428571427, "smallest_bitstrings": ["00001100011", "00001010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(2.3984) q[0];
rz(-1.2269) q[0];
ry(-0.0023) q[1];
rz(-1.2268) q[1];
ry(1.5681) q[2];
rz(-0.0024) q[2];
ry(1.9858) q[3];
rz(-0.0019) q[3];
ry(1.4953) q[4];
rz(-0.0024) q[4];
ry(1.3398) q[5];
rz(0.0028) q[5];
ry(1.5734) q[6];
rz(0.0028) q[6];
ry(-0.0025) 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": []} |
8c44c442a25e00dfae4e1647b2faf79f | edge_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": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}]} | {"states": [26, 14], "expectation_value": -0.22670322246733574, "params": [[-0.0845, -0.08370000000000001], [0.07880000000000001, 0.0779]], "bitstrings": ["100101", "110001"], "total_optimization_steps": 10, "probabilities": [0.020675065373288178, 0.020675065373288185], "optimization_time": 2.5256216526031494} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3... | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.0, "smallest_bitstrings": ["010011", "100101", "001101", "010101", "001110", "011010", "110001"]} | 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(-0.0423) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0423) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0423) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0423) q[0];
cx q[1], q[0];
cx q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
27f91ac61eafc4edd382d0960965a450 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [325, 327], "expectation_value": -70.89040017812108, "params": [[[-0.0017000000000000001, 0.0038], [0.0785, 0.014], [0.8651000000000001, 0.14830000000000002], [0.0135, 0.1844], [0.14400000000000002, 0.0047], [0.2631, 0.26], [0.3809, 0.2313], [0.6683, 0.8752000000000001], [0.6751, 0.3509]], [[0.90140000000000... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(7) @ Z(8)) + 15.5 * Z(0) + -5.0 * Z(1) + 14.0 * Z(2) + 3.0 * Z(3) + 2.0 * Z(4) + 5.0 * Z(5) + 8.0 * Z(6) + 9.5 * ... | 15 | 9 | 4 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["010111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0017) q[0];
ry(0.0785) q[1];
ry(0.8651) q[2];
ry(0.0135) q[3];
ry(0.144) q[4];
ry(0.2631) q[5];
ry(0.3809) q[6];
ry(0.6683) q[7];
ry(0.6751) 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] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
6172ec2f30329f156b64312801e66ef4 | 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": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 6... | {"states": [39, 47], "expectation_value": -7.209849215427568, "params": null, "bitstrings": ["1011000", "1010000"], "total_optimization_steps": 43, "probabilities": [0.42743550266038083, 0.4274887006346332], "optimization_time": 41.229273319244385} | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -0.25 * Z(0) + 1.75 * Z(1) + -1.5 * Z(3) + -0.25 * Z(6) + 1.25 * Z(4) + 0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["1011010", "1011000", "1010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5708) q[1];
cry(1.5708) q[1], q[4];
cry(1.5706) q[1], q[5];
cry(-1.5626) q[6], q[0];
ry(1.0823) q[6];
cry(-0.4707) q[5], q[0];
cry(0.3045) q[1], q[6];
ry(-1.331) q[2];
cry(-0.2421) q[4], q[0];
cry(0.... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
ad5e16c647b3e8afeeb51cea63283747 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [635, 619], "expectation_value": -2.808215141512011, "params": [2.9645, 0.0088, -0.0019, 0.0002, -0.0022, 0.0098, 3.099, 0.0016, 3.096, 0.0097, 1.532, 0.0002, 1.6572, 0.0027, 0.0029000000000000002, 0.004, 3.0657, 0.0002, 3.0743, 0.0051, 0.0079, 0.004200000000000001, 0.0055000000000000005, 0.0074, 0.009000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + 0.0625 * (Z(5) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(8) @ Z(0)) + 0.0625 * (Z(9) @ Z(0)) + 0.0625 * (Z(5) @ Z(6)) + 0.0625 * (Z(8) @ Z(5)) + 0.06... | 16 | 10 | 1 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.3125, "smallest_bitstrings": ["1011000100", "1010000110", "0100111000", "0100110100", "0110000110", "0110000101... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(2.9645) q[0];
rz(0.0088) q[0];
rx(-0.0019) q[1];
rz(0.0002) q[1];
rx(-0.0022) q[2];
rz(0.0098) q[2];
rx(3.099) q[3];
rz(0.0016) q[3];
rx(3.096) q[4];
rz(0.0097) q[4];
rx(1.532) q[5];
rz(0.0002) q[5];
rx(1.6572) q[6];
rz(0.0027) q[6];
rx(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": []} |
9fe1c14a83db7d171b778bdd442e074c | 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": [1986, 962], "expectation_value": -105.57024389780717, "params": [0.8438, 0.6857000000000001, 1.2971000000000001, 1.2955, 1.2922, 1.294, 1.3006, 1.2967, 1.3053000000000001, 1.0677, 0.45320000000000005, 0.48610000000000003, 0.1254, -0.12710000000000002, -0.0034000000000000002, -0.0044, -0.0008, 0.008400000000... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(0) @ Z(2)) + 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(0) @ Z(3)) + 7.5 * (Z(5) @ Z(1)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(6) @ Z(2)) + 7.5 * (Z(7) @ Z(3)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(10) @ Z(9)) + 24.5 * Z(2) + 24.0 * Z(1) + 25.0 * Z(3) + 10.0 * Z(0) +... | 14 | 11 | 1 | {"smallest_eigenvalues": [-133.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -123.5, "smallest_bitstrings": ["10000111101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.8438) q[0];
ry(1.2971) q[1];
ry(1.2922) q[2];
ry(1.3006) q[3];
ry(1.3053) q[4];
ry(0.4532) q[5];
ry(0.1254) q[6];
ry(-0.0034) q[7];
ry(-0.0008) q[8];
ry(1.303) q[9];
ry(0.0441) q[10];
crx(1.0649) q[10], q[0];
crx(0.0016) q[9], q[10];
crx(0.3284) q[8], 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, 13]}"} | {"circuits": [], "gradients": []} |
8342312533572641236 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 7], [1, 5, 7], [4, 5], [2, 5, 6], [0, 2, 3], [1, 2, 4], [0, 1, 6], [0, 5], [2, 3, 5], [3, 6], [1, 3, 5], [2, 3, 7], [0, 3, 4]]} | {"states": [234, 248], "expectation_value": -3.2790264618000595, "params": null, "bitstrings": ["00010101", "00000111"], "total_optimization_steps": 48, "probabilities": [0.07393805223058379, 0.8529290193290009], "optimization_time": 64.37355279922485} | 0.5 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(2)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0000000000000018, "smallest_bitstrings": ["00000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5592) q[2];
ry(1.4449) q[1];
cry(-1.0305) q[4], q[5];
ry(1.3129) q[0];
cry(-1.3646) q[0], q[7];
cry(-1.1466) q[3], q[6];
ry(0.9591) q[3];
cry(-0.647) q[2], q[6];
cry(0.4433) q[2], q[3];
cry(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5592) 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[... |
5773346088093114269 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2], [5, 6], [1, 3], [1, 2], [2, 4], [1, 6]]} | {"states": [25, 102], "expectation_value": -0.07765215247653455, "params": [[-0.0829], [0.07980000000000001]], "bitstrings": ["1100110", "0011001"], "total_optimization_steps": 10, "probabilities": [0.009076447884378745, 0.009076447884378745], "optimization_time": 0.4826698303222656} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["1100110", "0011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0829) q[0];
cx q[2], q[0];
cx q[6], q[5];
rz(-0.0829) q[5];
cx q[6], q[5];
cx q[2], q[1];
rz(-0.0829) q[1];
cx q[2], q[1];
cx q[6], q[1];
rz(-0.0829) q[1];
cx q[6], q[1];
cx q[1], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[6], q[5];
rz(x0) q[5];
cx q[6], q[5];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[6], q[1];
... | null | {"circuits": [], "gradients": []} |
f855126c9b49092b308e3852959f5914 | 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": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 6}, {"source": ... | {"states": [127, 1023], "expectation_value": -0.18003495253273968, "params": [[0.0129], [-0.0206]], "bitstrings": ["1110000000", "0000000000"], "total_optimization_steps": 10, "probabilities": [0.001029039628072248, 0.001030116051033419], "optimization_time": 3.7198853492736816} | 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + -3.0 * (Z(3) @ Z(5)) + 1.0 * (Z(9) @ Z(5)) + -2.5 * (Z(9) @ Z(3)) + -3.5 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(9)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + -2.0 * (Z(7) @ Z(9)) + -2.5 * (Z(7) @ Z(4)) + -2.5 * (Z(8) @ Z(5)) + 0.5... | 1 | 10 | 1 | {"smallest_eigenvalues": [-27.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.5, "smallest_bitstrings": ["0000000000"]} | 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[0], q[2];
rz(0.0129) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(-0.0387) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(-0.0516) q[1];
cx q[2], q[1];
cx q[5], q[3];
rz(-0.0774) q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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]... | {"node": 0} | {"circuits": [], "gradients": []} |
d1df537b8f7eacc6f0ca14b18760c116 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [441, 509], "expectation_value": -8.499302853593848, "params": null, "bitstrings": ["1001000110", "1000000010"], "total_optimization_steps": 98, "probabilities": [0.23031531104549027, 0.7031321229121374], "optimization_time": 251.71510338783264} | 1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z... | 1 | 10 | 2 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["1000000010", "1000000001", "1001000101", "1001000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
ry(1.5708) q[4];
ry(1.5708) q[2];
cry(1.5681) q[7], q[3];
cry(1.5486) q[2], q[5];
cry(1.4449) q[4], q[1];
cry(-1.568) q[4], q[0];
cry(1.0457) q[3], q[7];
cry(1.4397) q[2], q[6];
... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5]... |
-2715487831462971391 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 9, 4, 5], [8, 9, 4, 6], [0, 1, 2, 5, 9], [9, 3], [6, 7]]} | {"states": [425, 937], "expectation_value": -1.4749203907597797, "params": [1.3978000000000002, -0.524, 0.8336, 0.004200000000000001, 1.3939000000000001, -0.08420000000000001, 1.3768, 0.0067, 1.4006, -0.0818, 1.3858000000000001, 0.0045000000000000005, 0.19360000000000002, -0.5850000000000001, 0.1923, 0.0056, 1.39590000... | 0.13333333333333333 * (Z(0) @ Z(9)) + 0.16666666666666666 * (Z(4) @ Z(9)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(9)) + 0.13333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(8) @ Z(9)) + 0.08333333333333333 * (Z(8) @ Z(4)) + 0.08333333333333... | 5 | 10 | 1 | {"smallest_eigenvalues": [-1.7000000000000004, -1.7000000000000004, -1.7000000000000004, -1.7000000000000004], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.7000000000000002, "smallest_bitstrings": ["1001000110", "0001010110", "0001011000", "1001001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.3978) q[0];
rz(-0.524) q[0];
rx(1.3939) q[1];
rz(-0.0842) q[1];
rx(1.4006) q[2];
rz(-0.0818) q[2];
rx(0.1936) q[3];
rz(-0.585) q[3];
rx(1.3959) q[4];
rz(0.0259) q[4];
rx(1.2485) q[5];
rz(-0.5486) q[5];
rx(1.394) q[6];
rz(-0.1032) q[6];
rx(0.1882) 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": []} |
e24c28a1225e0371d997320aeb87abff | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [1770, 1774], "expectation_value": -1.72369333553663, "params": [[[0.4767, 0.2412, 0.0009000000000000001, 0.0092], [1.1025, 0.24550000000000002, 0.6482, 0.0046], [1.1059, -0.001, 1.1082, 0.0015], [1.1081, -0.0029000000000000002, 1.0964, 0.006], [0.8570000000000001, 0.3806, 1.0685, 0.0068000000000000005], [0.... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(6) @ Z(0)) + 0.0625 * (Z(0) @ Z(8)) + 0.0625 * (Z(0) @ Z(9)) ... | 11 | 12 | 1 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 17, "first_excited_energy": -2.75, "smallest_bitstrings": ["001001100010", "010001100010", "010100010001", "100010010001", "001100100010", "... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.4767) q[0];
rz(0.2412) q[0];
ry(1.1025) q[1];
rz(0.2455) q[1];
ry(1.1059) q[2];
rz(-0.001) q[2];
ry(1.1081) q[3];
rz(-0.0029) q[3];
ry(0.857) q[4];
rz(0.3806) q[4];
ry(0.7416) q[5];
rz(0.8189) q[5];
ry(1.0962) q[6];
rz(0.1543) q[6];
ry(1.1011) 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": []} |
4700601e722e5f0a0c40acc2968ffc97 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [2, 3], "expectation_value": -3.314091252131017, "params": [[[0.789, 0.0078000000000000005], [0.7895000000000001, 0.0098], [0.7885000000000001, 0.0046], [1.6055000000000001, 0.0012000000000000001], [1.6054000000000002, 0.0014]]], "bitstrings": ["11101", "11100"], "total_optimization_steps": 160, "probabiliti... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (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) + -2.75 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "01110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.789) q[0];
rz(0.0078) q[0];
rx(0.7895) q[1];
rz(0.0098) q[1];
rx(0.7885) q[2];
rz(0.0046) q[2];
rx(1.6055) q[3];
rz(0.0012) q[3];
rx(1.6054) q[4];
rz(0.0014) q[4];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3];
c[4] = ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | {"k": 3} | {"circuits": [], "gradients": []} |
cde6b48ed870286595c1455af7aff8bd | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}, {"source": 2, "target": 3}]} | {"states": [3422, 1966], "expectation_value": -3.9662434391492987, "params": [[-0.1451, -0.1301, -0.1343], [0.15610000000000002, 0.13490000000000002, 0.1341]], "bitstrings": ["001010100001", "100001010001"], "total_optimization_steps": 20, "probabilities": [0.0029213242297355356, 0.002921324229735536], "optimization_ti... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 3 | {"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": ["100100010100", "100100010001", ... | 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(-0.1451) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1451) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1451) q[2];
cx q[0], q[2];
cx q[0], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
aa017fe03799a772a3aff0770f4d70b4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 1, "source": 3, "target": 6}, {"capacity": 2, "source": 5, "target": 1}, {"capacity": 2, "source": 5, "target": 2... | {"states": [63, 9], "expectation_value": -0.35477508211943315, "params": [[0.0594, 0.0522], [-0.056600000000000004, -0.0422]], "bitstrings": ["1000000", "1110110"], "total_optimization_steps": 10, "probabilities": [0.0094062800781151, 0.009493732962467062], "optimization_time": 3.870401620864868} | -1.0 * (Z(0) @ Z(5)) + -1.0 * (Z(6) @ Z(5)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z(5)) + 1.5 * Z(5) + -0.25 * Z(0) + 0.0 * Z(6) + 0.25 * Z(3) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000100", "1000000", "1010100", "1010000", "1100100", "1100000", "1110110", "1110100", "1110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(-0.1188) q[0];
cx q[5], q[0];
cx q[5], q[6];
rz(-0.1188) q[6];
cx q[5], q[6];
cx q[0], q[6];
rz(0.1485) q[6];
cx q[0], q[6];
cx q[6], q[3];
rz(-0.0297) q[3];
cx q[6], q[3];
cx q[5], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
7217034462980724262 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[6, 7], [3, 7], [0, 6], [0, 1], [1, 7], [2, 5], [3, 5], [1, 6], [0, 7], [4, 6], [0, 5], [2, 3]]} | {"states": [146, 178], "expectation_value": -2.613674622751854, "params": null, "bitstrings": ["01101101", "01001101"], "total_optimization_steps": 61, "probabilities": [0.33052640724000537, 0.3929670510564092], "optimization_time": 65.8120505809784} | 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.0 * Z(7) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.0, "smallest_bitstrings": ["00100111", "01001101", "10010010", "01010110", "11011000", "01101101", "11111000", "00000111", "10101001", "10110010"]} | 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[6], q[7];
cry(-1.0342) q[3], q[5];
ry(1.0293) q[3];
cry(1.4052) q[3], q[0];
cry(-0.9035) q[0], q[5];
cry(-0.7688) q[3], q[7];
cry(-1.0342) q[6], q[4];
ry(0.6691) q[6];
cry(-1.2258) ... | 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[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
c24dd733315066f7c7da3d578f954d8c | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 2}]} | {"states": [45, 47], "expectation_value": -0.05820664780775678, "params": [[0.052000000000000005], [-0.0438]], "bitstrings": ["010010", "010000"], "total_optimization_steps": 10, "probabilities": [0.01632352468842913, 0.016597080980967897], "optimization_time": 0.9129276275634766} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["010000"]} | 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(0.052) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.052) q[3];
cx q[1], q[3];
cx q[1], q[4];
rz(0.052) q[4];
cx q[1], q[4];
cx q[1], q[5];
rz(0.052) q[5];
cx q[1], q[5];
cx q[1], q[2];
rz(0.052) q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[1], q[4];
rz(x0) q[4];
cx q[1], q[4];
cx ... | null | {"circuits": [], "gradients": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target"... | {"states": [10, 20], "expectation_value": -0.030707778260315025, "params": [[-0.0251], [0.037200000000000004]], "bitstrings": ["10101", "01011"], "total_optimization_steps": 10, "probabilities": [0.03177791799021642, 0.03177791799021642], "optimization_time": 0.9323103427886963} | 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];
cx q[3], q[0];
rz(-0.0251) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.0251) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.0251) q[4];
cx q[0], q[4];
cx q[4], q[1];
rz(-0.0251) q[1];
cx q[4], q[1];
cx q[3], q[2];
rz(-0.0251) 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;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(x0) q[4];
cx q[0... | null | {"circuits": [], "gradients": []} |
86f7cf811774c9dc1f8ac7ebefafd51c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "target": 4}]} | {"states": [1, 9], "expectation_value": -2.7986875520424834, "params": [0.0077, 0.057100000000000005, 0.4078, 0.0037, 0.0013000000000000002, 0.29500000000000004, 0.0013000000000000002, 0.3029, 0.4053, 0.005, -0.0012000000000000001, 0.2529, 0.4036, 0.0058000000000000005, 0.006200000000000001, 0.24130000000000001, 0.003,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(2) @ Z(1)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(4) @ Z(1)) + -1.0 * Z(0) + -0.25 * Z(1) + -0.75 * Z(2) + -0.25 * Z(4) + -1.0 * Z(3) | 18 | 5 | 4 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.0077) q[0];
rz(0.0571) q[0];
rx(0.4078) q[1];
rz(0.0037) q[1];
rx(0.0013) q[2];
rz(0.295) q[2];
rx(0.0013) q[3];
rz(0.3029) q[3];
rx(0.4053) q[4];
rz(0.005) q[4];
crz(0.002) q[4], q[0];
crz(-0.2844) q[3], q[4];
crz(-0.2903) q[2], q[3];
crz(-0.0003) q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
90ed954541db23a75eecb07977c28089 | 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": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": ... | {"states": [24, 20], "expectation_value": -4.973756373003075, "params": null, "bitstrings": ["100111", "101011"], "total_optimization_steps": 18, "probabilities": [0.07348093650168183, 0.9007115427574266], "optimization_time": 16.228154182434082} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + ... | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["101011", "100111", "111100"]} | 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[0];
ry(-1.5681) q[4];
ry(-1.5681) q[5];
ry(1.4449) q[1];
cry(-1.0343) q[3], q[2];
ry(0.7003) q[3];
ry(-0.4549) q[2];
cry(0.4963) q[1], q[3];
cry(-0.3789) q[1], q[2];
cry(0.1072) q[3], q[1];
cry(-0.0... | 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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
8ca1cc128f26bbc587d2dbeb0c149cd8 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [890, 882], "expectation_value": -2.972289046642632, "params": [[0.1598, 0.9218000000000001, -0.0016, 1.6335000000000002, 0.0009000000000000001, 1.2697, -0.24300000000000002, 0.0022, 1.5670000000000002, 0.0025], [2.2024, 2.1892, 0.0036000000000000003, 1.5035, 2.1954000000000002, 2.1251, 1.6235000000000002, -... | 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... | 10 | 10 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.5, "smallest_bitstrings": ["0001101001", "0010001101", "1010000101", "0101001001", "0010010101", "0100001101", "1000001101", "1000000111", "0001100011", "00... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.1598) q[0];
ry(0.9218) q[1];
ry(-0.0016) q[2];
ry(1.6335) q[3];
ry(0.0009) q[4];
ry(1.2697) q[5];
ry(-0.243) q[6];
ry(0.0022) q[7];
ry(1.567) q[8];
ry(0.0025) q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
a45e2c80deb776df539ab538621f261c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "... | {"states": [3583, 3327], "expectation_value": -16.12776127320319, "params": [[[-0.0024000000000000002, 2.7047000000000003], [-0.003, -0.0024000000000000002], [-1.6491, -0.0024000000000000002], [1.6017000000000001, -0.002], [0.0025, -0.0015], [-0.0019, 0.002], [-0.0035, -0.0024000000000000002], [-0.0028, -0.002900000000... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(5)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(11)) + -2.0 * (Z(9) @ Z(11)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(10) @ Z(11)) + -1.5 * (Z(10) @ Z(9)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(... | 15 | 12 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["001100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0024) q[0];
ry(-0.003) q[1];
ry(-1.6491) q[2];
ry(1.6017) q[3];
ry(0.0025) q[4];
ry(-0.0019) q[5];
ry(-0.0035) q[6];
ry(-0.0028) q[7];
ry(-0.0019) q[8];
ry(0.0023) q[9];
ry(-0.0021) q[10];
ry(-0.002) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 12} | {"circuits": [], "gradients": []} |
9b6c90aee56ab84919f7c826e678a024 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [9, 28], "expectation_value": -0.3034677316440635, "params": [[0.0683, 0.06860000000000001], [-0.0693, -0.0545]], "bitstrings": ["10110", "00011"], "total_optimization_steps": 10, "probabilities": [0.036754322284306765, 0.03967042892147901], "optimization_time": 2.476012706756592} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + 0.0 * Z(1) + -0.5 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["00011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(0.0683) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(0.0683) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.0683) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.0683) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.0683) q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
-9137179400536741309 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 2, 7, 9], [3, 5, 6, 7, 8, 9, 10, 11], [0, 3, 6, 9, 10], [1, 11], [4, 7]]} | {"states": [1406, 1374], "expectation_value": -1.358527147146204, "params": [[[1.3298, 0.0067], [2.8945000000000003, 0.0066], [1.3030000000000002, 0.0097], [2.8795, 0.0091], [0.2793, 0.0089], [2.8787000000000003, 0.007500000000000001], [1.5623, 0.0092], [2.9024, 0.0089], [2.869, 0.0076], [2.1091, 0.006200000000000001],... | 0.05 * (Z(0) @ Z(1)) + 0.05 * (Z(2) @ Z(1)) + 0.05 * (Z(2) @ Z(0)) + 0.05 * (Z(7) @ Z(1)) + 0.05 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(2)) + 0.05 * (Z(9) @ Z(1)) + 0.1 * (Z(9) @ Z(0)) + 0.05 * (Z(9) @ Z(2)) + 0.06785714285714287 * (Z(9) @ Z(7)) + 0.05 * (Z(3) @ Z(0)) + 0.017857142857142856 * (Z(3) @ Z(7)) + 0.067857142857... | 1 | 12 | 1 | {"smallest_eigenvalues": [-1.5785714285714292, -1.5785714285714292, -1.5785714285714292, -1.5785714285714292, -1.5785714285714292, -1.5785714285714292, -1.5785714285714292, -1.5785714285714292, -1.5785714285714292, -1.5785714285714292, -1.5785714285714292, -1.5785714285714292, -1.5785714285714292, -1.5785714285714292, ... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.3298) q[0];
rz(0.0067) q[0];
rx(2.8945) q[1];
rz(0.0066) q[1];
rx(1.303) q[2];
rz(0.0097) q[2];
rx(2.8795) q[3];
rz(0.0091) q[3];
rx(0.2793) q[4];
rz(0.0089) q[4];
rx(2.8787) q[5];
rz(0.0075) q[5];
rx(1.5623) q[6];
rz(0.0092) q[6];
rx(2.9024) 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": []} |
9c58c5b77a3170e613a26f379fffeef6 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 2}, {"weight": 18, "source": 0, "target": 5}, {"weight": 2... | {"states": [231, 118], "expectation_value": -28.194612110105133, "params": null, "bitstrings": ["00011000", "10001001"], "total_optimization_steps": 100, "probabilities": [0.07864466703615744, 0.08762589898821103], "optimization_time": 170.378484249115} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "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];
ry(9.9081) q[3];
ry(6.5925) q[2];
ry(38.2322) q[6];
ry(18.5827) q[5];
ry(55.6749) q[1];
cry(10.6699) q[6], q[2];
cry(-26.8295) q[6], q[3];
cry(63.6719) q[3], q[5];
cry(-16.3896) q[6], q[5];
ry(-3.... | null | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(9.9081) q[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[... |
9e72b7dd0d69a46b7f007aaed5517323 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}]} | {"states": [25, 26], "expectation_value": -3.624930677546186, "params": null, "bitstrings": ["100110", "100101"], "total_optimization_steps": 26, "probabilities": [1.642178064829427e-05, 0.9999653517514536], "optimization_time": 26.766523361206055} | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(1)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3) @ Z(1... | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.625, "smallest_bitstrings": ["100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[0];
ry(-1.5158) q[3];
ry(-1.4449) q[5];
ry(1.4447) q[1];
ry(1.4414) q[4];
ry(1.441) q[2];
cry(-0.1259) q[4], q[5];
cry(-0.055) q[4], q[3];
cry(0.1223) q[1], q[2];
cry(0.1218) q[2], q[4];
cry(0.1187)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
fbfefcfa74040d0ce51ad9f65d60106e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [192, 127], "expectation_value": -6.780793675405836, "params": [[-0.0717, -0.0548, -0.048400000000000006, -0.0424], [0.0779, 0.0646, 0.06280000000000001, 0.06430000000000001]], "bitstrings": ["00111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.02599664647653354, 0.026113180601984632]... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + 2.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "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[1], q[0];
rz(0.1076) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1434) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1792) q[2];
cx q[0], q[2];
cx q[0], q[7];
rz(-0.3226) q[7];
cx q[0], q[7];
cx q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
0963943ecfb82868686868de206d3c2c | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}]} | {"states": [0, 13], "expectation_value": -2.020431639181819, "params": null, "bitstrings": ["11111", "10010"], "total_optimization_steps": 20, "probabilities": [0.06312583727485936, 0.6609303434568208], "optimization_time": 10.656152725219727} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(3) + -0.25 * Z(4) + 0.5 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["10010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cry(1.4449) q[4], q[2];
cry(-1.4449) q[4], q[0];
cry(0.8211) q[2], q[4];
ry(-1.3) q[3];
cry(-0.432) q[2], q[0];
cry(1.2172) q[4], q[1];
ry(0.1675) q[4];
cry(0.3046) q[2], q[1];
ry(0.1607) q[2];
cry(-0.2337) q[1], q[3];
c... | null | {"source": 0, "sink": 4} | {"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(1.4449) q[4], 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqu... |
b26af77c0530235f35ba0af48444065e | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [650, 714], "expectation_value": -136.50376095359306, "params": [[0.0848, -0.029300000000000003, 0.0702, 0.6629, -0.031100000000000003, 0.6888000000000001, 0.4717, -0.0031000000000000003, -0.07490000000000001, 0.6396000000000001, 0.0036000000000000003, 0.6328, 0.0074], [0.0891, -0.0126, 0.0761, 0.6665, 0.073... | 8.5 * (Z(1) @ Z(3)) + 8.5 * (Z(2) @ Z(3)) + 8.5 * (Z(0) @ Z(6)) + 8.5 * (Z(5) @ Z(6)) + 8.5 * (Z(4) @ Z(6)) + 8.5 * (Z(4) @ Z(5)) + 8.5 * (Z(9) @ Z(6)) + 8.5 * (Z(9) @ Z(0)) + 8.5 * (Z(8) @ Z(9)) + 8.5 * (Z(10) @ Z(5)) + 8.5 * (Z(11) @ Z(2)) + 8.5 * (Z(12) @ Z(11)) + 9.5 * Z(3) + -6.0 * Z(1) + 5.0 * Z(2) + 24.5 * Z(6) ... | 10 | 13 | 4 | {"smallest_eigenvalues": [-167.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -143.0, "smallest_bitstrings": ["1110100110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.0848) q[0];
ry(-0.0293) q[1];
ry(0.0702) q[2];
ry(0.6629) q[3];
ry(-0.0311) q[4];
ry(0.6888) q[5];
ry(0.4717) q[6];
ry(-0.0031) q[7];
ry(-0.0749) q[8];
ry(0.6396) q[9];
ry(0.0036) q[10];
ry(0.6328) q[11];
ry(0.0074) q[12];
cz q[12], q[11];
cz q[11], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} |
26c69df1cbd87e9b924a817cf8bf46fd | 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": [490, 362], "expectation_value": -56.041516014181084, "params": [1.199, 0.1371, 0.776, 0.22360000000000002, 1.1982000000000002, 0.0045000000000000005, 1.1941000000000002, 0.1726, 0.18050000000000002, 0.5202, 1.2009, 0.1963, 0.0016, 0.6619, 1.2081, 0.0673, 0.0033, 0.8056000000000001, 1.2023000000000001, 0.007... | 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(0) @ Z(3)) + 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(8) @ Z(7)) + 7.0 * Z(1) + 12.5 * Z(3) + 19.0 * Z(2) + 21.0 * Z(0) + -1.5 * Z(4) + 8.5 * Z(5) + -4.0 * Z(6) + -1.0... | 18 | 9 | 2 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.199) q[0];
rz(0.1371) q[0];
rx(0.776) q[1];
rz(0.2236) q[1];
rx(1.1982) q[2];
rz(0.0045) q[2];
rx(1.1941) q[3];
rz(0.1726) q[3];
rx(0.1805) q[4];
rz(0.5202) q[4];
rx(1.2009) q[5];
rz(0.1963) q[5];
rx(0.0016) q[6];
rz(0.6619) q[6];
rx(1.2081) q[7];
rz(0.06... | OPENQASM 3.0;
include "stdgates.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], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
b4764399bb7694871d7cf0cc7a871143 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "so... | {"states": [9, 13], "expectation_value": -8.421297177726396, "params": [[[0.0023, 1.1741000000000001], [1.5685, -0.002], [-0.8715, 0.0006000000000000001], [-0.0027, 1.116], [-1.5658, -0.0026000000000000003]], [[0.0023, 0.0068000000000000005], [1.5694000000000001, 0.0044], [-0.8715, 0.0006000000000000001], [-0.0027, 0.0... | -1.0 * (Z(0) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(1)) + -3.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(4) + 2.75 * Z(1) + 0.5 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.0023) q[0];
rz(1.1741) q[0];
rx(1.5685) q[1];
rz(-0.002) q[1];
rx(-0.8715) q[2];
rz(0.0006) q[2];
rx(-0.0027) q[3];
rz(1.116) q[3];
rx(-1.5658) q[4];
rz(-0.0026) q[4];
rx(0.0023) q[0];
rz(0.0068) q[0];
rx(1.5694) q[1];
rz(0.0044) q[1];
rx(-0.8715) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
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