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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
72ec18873d3dc55875c8efef46485470 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4}, {"capaci... | {"states": [32, 31], "expectation_value": -3.029430258894953, "params": [[-0.047900000000000005, -0.058100000000000006, -0.042100000000000005], [0.061200000000000004, 0.0693, 0.057800000000000004]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.041130518758375756, 0.04207659538... | -1.25 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -2.5 * (Z(2) @ Z(3)) + -2.25 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + 2.25 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + 1.0 * Z(3) + -0.25 * Z(0) + -1.25 * Z(4) + -0.25 * Z(1) + 0.75 * Z(2) + 0.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(0.1198) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(0.0719) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.0958) q[1];
cx q[3], q[1];
cx q[4], q[1];
rz(0.1198) q[1];
cx q[4], q[1];
cx q[3], q[2];
rz(0.2395... | OPENQASM 3.0;
include "stdgates.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": []} |
199bc20adfdca6d6b6a06391ec8e4ac2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 4, "target": 5}, ... | {"states": [12, 13], "expectation_value": -1.8254731324149995, "params": [-0.0021000000000000003, 0.0, 0.45370000000000005, 0.0041, 0.8259000000000001, 0.003, 1.7058, 0.0012000000000000001, 1.7140000000000002, 0.0041, 0.44210000000000005, 0.0034000000000000002, 1.6219000000000001, 0.0041, 0.0036000000000000003, 0.004, ... | 0.5 * (Z(2) @ Z(1)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(0) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + -0.75 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) + -0.5 * Z(5) + -0.5 * Z(6) | 3 | 7 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.25, "smallest_bitstrings": ["1100101", "1011010", "1100011", "1110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0021) q[0];
rz(0) q[0];
rx(0.4537) q[1];
rz(0.0041) q[1];
rx(0.8259) q[2];
rz(0.003) q[2];
rx(1.7058) q[3];
rz(0.0012) q[3];
rx(1.714) q[4];
rz(0.0041) q[4];
rx(0.4421) q[5];
rz(0.0034) q[5];
rx(1.6219) q[6];
rz(0.0041) q[6];
crz(0.0033) q[6], q[5];
crz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
7fa6d926fed88692e1dac2092e1fc75e | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1023, 127], "expectation_value": -3.427177309522111, "params": [[-0.0509], [0.057800000000000004]], "bitstrings": ["0000000000", "1110000000"], "total_optimization_steps": 10, "probabilities": [0.001928869030390373, 0.001987120284497491], "optimization_time": 0.9638738632202148} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -3.0 * (Z(3) @ Z(4)) + -3.5 * (Z(5) @ Z(4)) + -3.5 * (Z(5) @ Z(3)) + 1.0 * (Z(6) @ Z(4)) + -3.5 * (Z(6) @ Z(3)) + -3.5 * (Z(6) @ Z(5)) + 1.0 * (Z(7) @ Z(4)) + -3.5 * (Z(7) @ Z(3)) + -3.5 * (Z(7) @ Z(5)) + 1.5 * (Z(7) @ Z(6)) + 1.0 * (Z(9) @ Z(4)) + -3... | 1 | 10 | 1 | {"smallest_eigenvalues": [-48.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -45.5, "smallest_bitstrings": ["1110000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(0.2036) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2036) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2036) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(0.3054) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[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 ... | {"node": 2} | {"circuits": [], "gradients": []} |
-3316811709459775078 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 5, 6], [1, 2, 3], [0, 4, 5, 6], [0, 1, 2, 6], [0, 2, 4], [3, 4, 5, 6], [2, 4, 6], [1, 2, 5, 6], [2, 3, 4]]} | {"states": [89, 109], "expectation_value": -1.0904770534338073, "params": [[0.26180000000000003], [-0.2621]], "bitstrings": ["0100110", "0010010"], "total_optimization_steps": 30, "probabilities": [0.01626684905978895, 0.016981980974337896], "optimization_time": 2.0553059577941895} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.41666666666666663 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(5)... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.416666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.333333333333334, "smallest_bitstrings": ["0010010"]} | 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(0.1745) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(0.0873) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.0873) q[5];
cx q[0], q[5];
cx q[2], q[6];
rz(0.2182) q[6];
cx q[2], q[6];
cx q[0], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
-6656420279382884463 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 3, 4, 6], [0, 2, 3, 5, 6, 7]]} | {"states": [242, 178], "expectation_value": -0.27194845318244015, "params": null, "bitstrings": ["00001101", "01001101"], "total_optimization_steps": 49, "probabilities": [0.04602681226553107, 0.06038577761135677], "optimization_time": 84.86367917060852} | 0.03333333333333333 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.06666666666666667 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(1)) + 0.06666666666666667 * (Z(3) @ Z(0)) + 0.06666666666666667 * (Z(3) @ Z(2)) + 0.03333333333333333 * (Z(4) @ Z(1)) + 0.03333333333333333 * (Z(4) @ Z(0)) + 0.03333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4, -0.4], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -0.39999999999999997, "smallest_bitstrings": ["11000001", "01000110", "00011100", "01001101", "00011001", "00101001", "01010001", "01010100",... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(0.7604) q[3];
ry(0.5743) q[2];
ry(0.4121) q[6];
ry(0.2856) q[0];
cry(0.1819) q[3], q[2];
cry(0.1477) q[2], q[3];
cry(0.1358) q[3], q[6];
cry(0.0958) q[6], q[3];
cry(0.0914) q[2], q[6];
cry(0.07... | 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(0.7604) 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[... |
9f16651ff069e7e4b10d7e6e3ea493cf | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.5030881212504519, "params": [[0.0669, 0.06470000000000001, 0.0487], [-0.0596, -0.062200000000000005, -0.0524]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.006407774605774589, 0.007185883856170246], "optimization_time": 4.130... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(7)) + 0.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(6) + -0.75 * Z(7) + 0.5 * ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "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[3], q[0];
rz(-0.0335) q[0];
cx q[3], q[0];
cx q[3], q[6];
rz(-0.0669) q[6];
cx q[3], q[6];
cx q[0], q[6];
rz(-0.0335) q[6];
cx q[0], q[6];
cx q[0], q[7];
rz(0.1003) q[7];
cx q[0], q[7];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
eb532b3fe9f318ccb3658a6712436b91 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "source": 0, ... | {"states": [5, 1], "expectation_value": -0.52524706147695, "params": [[0.0703], [-0.060000000000000005]], "bitstrings": ["11111010", "11111110"], "total_optimization_steps": 10, "probabilities": [0.0050599731636047154, 0.005205731940574459], "optimization_time": 5.23699164390564} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.25, -11.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110", "11111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.0703) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0703) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1055) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(-0.0352) q[4];
cx q[0], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
5264b19f3401032e019b258a19fe08a0 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 7}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 3, "source": 3, ... | {"states": [127, 125], "expectation_value": -5.249511221139249, "params": null, "bitstrings": ["10000000", "10000010"], "total_optimization_steps": 46, "probabilities": [0.24988560795313905, 0.24988560795313905], "optimization_time": 46.096468448638916} | 0.25 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(7)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(2) @ Z(4)) + -1.0 * (Z(6) @ Z(5)) + -1.0 * Z(7) + -0.25 * Z(0) + 1.25 * Z(1) + 0.0 * Z(3) + 1.0 * Z(5) + 0.25 * Z(4) + -0.25 * Z(2) + -1.0 * Z(6) | 1 | 8 | 2 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000010", "10000000", "10100010", "10100000"]} | 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[1];
cry(1.5681) q[1], q[5];
cry(1.5708) q[5], q[3];
cry(1.5486) q[5], q[4];
cry(-1.0342) q[1], q[0];
cry(1.4138) q[4], q[7];
cry(-0.5045) q[7], q[0];
ry(0.1428) q[7];
cry(-0.0328) q[5... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5706) 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[... |
239e0c960fc9df6885bc085f6bdae7ed | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 9}, {"capacity": 1, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -19.847202856219937, "params": [-0.034800000000000005, 0.0162, -0.0256, 0.0066, -0.0021000000000000003, 0.22870000000000001, -0.0033, 0.2351, 0.2994, -0.0001, 0.2983, 0.0001, -0.0011, 0.22940000000000002, -0.0059, 0.2343, 0.0046, 0.1584, -0.0026000000000000003, 0.1952, -0.0, 0.... | -1.0 * (Z(0) @ Z(3)) + -1.0 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(0)) + -0.5 * (Z(2) @ Z(3)) + 1.75 * (Z(2) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(10)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -1.0 * (Z(9) @ Z(3)) + -0.25 * (Z(9) @ Z(10)) + -1.5 * (Z(9) @ Z(1)) + -0.75 * (Z(9) @ ... | 6 | 11 | 3 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0348) q[0];
rz(0.0162) q[0];
rx(-0.0021) q[1];
rz(0.2287) q[1];
rx(0.2994) q[2];
rz(-0.0001) q[2];
rx(-0.0011) q[3];
rz(0.2294) q[3];
rx(0.0046) q[4];
rz(0.1584) q[4];
rx(0) q[5];
rz(0.2343) q[5];
rx(-0.0074) q[6];
rz(0.1755) q[6];
rx(0.0007) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
eef64d2a5dbf018785bb2eafc31c3245 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 6, "source": 3, ... | {"states": [7, 15], "expectation_value": -10.643151775031937, "params": [0.0002, 0.3315, -0.0018000000000000002, 0.37470000000000003, -0.004, 0.3865, -0.0008, 0.35550000000000004, 0.2086, 0.00030000000000000003, 0.46790000000000004, 0.0024000000000000002, 0.4938, 0.0015, 0.5075000000000001, -0.0013000000000000002, 0.00... | -1.25 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + 2.5 * (Z(7) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(6) @ Z(7)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 1.0 * Z(7) + -2.25 * Z(2) + -0.5 * Z(4) + 2.0 * Z(5) + 0.75 * Z(6) | 4 | 8 | 4 | {"smallest_eigenvalues": [-14.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["11110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0002) q[0];
rz(0.3315) q[0];
rx(-0.0018) q[1];
rz(0.3747) q[1];
rx(-0.004) q[2];
rz(0.3865) q[2];
rx(-0.0008) q[3];
rz(0.3555) q[3];
rx(0.2086) q[4];
rz(0.0003) q[4];
rx(0.4679) q[5];
rz(0.0024) q[5];
rx(0.4938) q[6];
rz(0.0015) q[6];
rx(0.5075) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
6abfcea40fcfb2aee6e60541a981751a | 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": 7}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 5}, {"capacity": 1, "source": 3, ... | {"states": [25, 91], "expectation_value": -2.1972088445682085, "params": null, "bitstrings": ["11100110", "10100100"], "total_optimization_steps": 42, "probabilities": [0.16011577782086361, 0.6996868065175307], "optimization_time": 42.92778539657593} | 0.25 * (Z(0) @ Z(7)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(4) @ Z(6)) + 0.0 * Z(7) + -0.25 * Z(0) + -0.5 * Z(6) + 0.5 * Z(1) + 0.0 * Z(2) + -0.25 * Z(5) + 0.25 * Z(3) + 0.25 * Z(4) | 1 | 8 | 2 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.5, "smallest_bitstrings": ["10000100", "10000000", "10100100"]} | 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(1.4449) q[6], q[1];
cry(-1.0342) q[7], q[0];
ry(1.0342) q[4];
ry(1.0342) q[3];
cry(0.9791) q[1], q[6];
cry(0.9021) q[6], q[7];
ry(-0.7014) q[0];
ry(-1.0342) q[5];
cry(0.4645) q[6], q[4];
cry(0... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.4449) q[6], 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] = mea... |
-5197858984033569827 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 10, 5, 7], [8, 11, 3, 7], [10, 2, 4, 7], [0, 3, 11, 4], [1, 4, 6], [8, 2, 7], [8, 11, 6], [0, 9]]} | {"states": [3635, 3891], "expectation_value": -2.2900747458232598, "params": [1.5668, 0.0031000000000000003, 1.5687, 0.007200000000000001, 1.5727, -0.0034000000000000002, 1.5732000000000002, 0.009000000000000001, 1.5752000000000002, -0.0021000000000000003, 1.5722, 0.007200000000000001, 0.8099000000000001, 0.2901, 0.813... | 0.08333333333333333 * (Z(1) @ Z(10)) + 0.08333333333333333 * (Z(5) @ Z(10)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(10)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(5)) + 0.25 * (Z(8) @ Z(7)) + 0.08333333333333333 * (Z(11) @ Z(7)) + 0.25 * (Z(11) @ Z(8)) + 0.0... | 7 | 12 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.499999999999999, "smallest_bitstrings": ["011000000101", "000011001100", "100000110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.5668) q[0];
rz(0.0031) q[0];
rx(1.5727) q[1];
rz(-0.0034) q[1];
rx(1.5752) q[2];
rz(-0.0021) q[2];
rx(0.8099) q[3];
rz(0.2901) q[3];
rx(0.2013) q[4];
rz(-0.8939) q[4];
rx(0.2436) q[5];
rz(-0.8359) q[5];
rx(1.5681) q[6];
rz(-0.0021) q[6];
rx(1.5657) 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": []} |
5e1f1e75ba04327de43b1491321a7511 | 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": 6, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 0, ... | {"states": [67, 1], "expectation_value": -3.4462452843062024, "params": [[-0.0596, -0.0558, -0.047], [0.0724, 0.0636, 0.0563]], "bitstrings": ["10111100", "11111110"], "total_optimization_steps": 10, "probabilities": [0.01447423758139817, 0.015681989840813097], "optimization_time": 4.828250408172607} | -0.75 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -1.75 * (Z(5) @ Z(3)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.0894) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.1788) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(0.0894) q[4];
cx q[0], q[4];
cx q[0], q[7];
rz(-0.3874) q[7];
cx q[0], q[7];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
c502b67eb6d91d909ba398fa39bec60c | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}]} | {"states": [2, 0], "expectation_value": -2.1123752360149437, "params": null, "bitstrings": ["1101", "1111"], "total_optimization_steps": 5, "probabilities": [0.003925267827143744, 0.9874310668157752], "optimization_time": 3.1401822566986084} | 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)) + -0.625 * Z... | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.125, "smallest_bitstrings": ["1111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-1.5158) q[0];
ry(-1.445) q[1];
ry(-1.4449) q[3];
ry(-1.4449) q[2];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3]; | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5158) 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 q[2];\... |
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": 80.82926869392395} | 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 | 1 | {"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[... |
b93e7e87e2621c92c7ba04b041c49bf3 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [56, 41], "expectation_value": -3.9999374799845198, "params": null, "bitstrings": ["000111", "010110"], "total_optimization_steps": 26, "probabilities": [1.6356460472479446e-05, 0.9999687407489248], "optimization_time": 19.25244688987732} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + -1.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[3];
ry(-1.5681) q[4];
ry(-1.4449) q[1];
ry(1.4449) q[0];
ry(1.4417) q[5];
ry(1.4417) q[2];
cry(-0.1259) q[5], q[1];
cry(0.1218) q[0], q[2];
cry(0.1216) q[2], q[5];
cry(0.1186) q[5], q[0];
cry(-0.002... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
0736b1161a5a600a3b5b1b2ae725bcb7 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [0, 193], "expectation_value": -11.694994840456536, "params": [-0.0263, 0.031900000000000005, 0.0028, -0.3941, 0.3491, -0.108, -0.4737, -0.009600000000000001, -0.2432, 0.7899, -0.37370000000000003, 0.7115, -0.005, 0.3516, -0.01, 0.0587, -0.0017000000000000001, 0.5786, -0.0032, 0.41850000000000004, -0.0011, 0... | -0.75 * (Z(0) @ Z(6)) + -1.0 * (Z(1) @ Z(6)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(8)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @... | 6 | 9 | 4 | {"smallest_eigenvalues": [-12.25, -12.25, -12.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -11.25, "smallest_bitstrings": ["100000000", "100000100", "100111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0263) q[0];
rz(0.0319) q[0];
rx(0.3491) q[1];
rz(-0.108) q[1];
rx(-0.2432) q[2];
rz(0.7899) q[2];
rx(-0.005) q[3];
rz(0.3516) q[3];
rx(-0.0017) q[4];
rz(0.5786) q[4];
rx(-0.0011) q[5];
rz(0.4984) q[5];
rx(0.0046) q[6];
rz(1.0831) q[6];
rx(0.0025) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
fa12f3a697c97a90a7d75ad197dde7b9 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 5}]} | {"states": [49, 22], "expectation_value": -0.2538798451592889, "params": [[-0.0509, -0.0629], [0.0659, 0.0694]], "bitstrings": ["001110", "101001"], "total_optimization_steps": 10, "probabilities": [0.019245427064428774, 0.019245427064428777], "optimization_time": 2.110947370529175} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["001110", "101001", "101010", "110010"]} | 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(-0.0509) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.0509) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0509) q[4];
cx q[0], q[4];
cx q[0], q[3];
rz(-0.0509) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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[4];
rz(x0) q[4];
c... | null | {"circuits": [], "gradients": []} |
6573790533608945682 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 7], [2, 5], [0, 3, 7], [0, 1, 7], [3, 4, 7], [0, 3, 5], [3, 6], [0, 2, 3], [1, 4, 5], [1, 2, 4], [0, 1, 6], [4, 6, 7], [1, 5, 7], [5, 6], [3, 5, 7], [2, 6, 7], [0, 3, 4], [1, 6, 7]]} | {"states": [157, 143], "expectation_value": -4.30317011135978, "params": null, "bitstrings": ["01100010", "01110000"], "total_optimization_steps": 56, "probabilities": [0.07733544818977445, 0.7661870641730362], "optimization_time": 106.05661940574646} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.6666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(7)) + 0.3333333333333333 * (Z(3) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.499999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.166666666666668, "smallest_bitstrings": ["01110000"]} | 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(1.5298) q[0];
cry(-1.2287) q[6], q[3];
ry(1.437) q[4];
cry(-1.1444) q[5], q[2];
ry(0.9705) q[5];
cry(-0.6542) q[0], q[2];
cry(-1.1555) q[6], q[1];
cry(0.4711) q[0], 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(1.5708) 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[... |
6eeafc1802cd635d6723c166bcb76122 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3... | {"states": [3, 1], "expectation_value": -1.028175623499397, "params": [[0.0726, 0.0594, 0.0775, 0.0782], [-0.0796, -0.0409, -0.061500000000000006, -0.06770000000000001]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.018666416508546006, 0.019393395807447963], "optimization_ti... | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -1.25 * Z(4) + -0.25 * Z(0) + 0.5 * Z(6) + 0.0 * Z(2) + 0.75 * Z(1) + -0.25 * Z(3) + 0.5 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25, -4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.25, "smallest_bitstrings": ["1000100", "1000110", "1111100", "1111110", "1010100", "1010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(-0.0726) q[0];
cx q[4], q[0];
cx q[4], q[6];
rz(-0.0363) q[6];
cx q[4], q[6];
cx q[0], q[6];
rz(0.1089) q[6];
cx q[0], q[6];
cx q[4], q[2];
rz(-0.0726) q[2];
cx q[4], q[2];
cx q[2], q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
4002e7c825d905d476562dd2a4250026 | 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": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [527, 591], "expectation_value": -0.8933348456382062, "params": [0.7976000000000001, 0.804, 0.5889, 0.5937, 0.5608000000000001, 0.5456, 0.8069000000000001, 0.8082, 0.6305000000000001, 0.5957, 0.005200000000000001, 0.0001, 0.8028000000000001, 0.802, 0.8061, 0.7998000000000001, 0.7996000000000001, 0.801, 0.805... | 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)) + 0.0625 * (Z(5) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(0) @ Z(8)) + 0.0625 * (Z(5) @ Z(6)) + 0.0625 * (Z(5) @ Z(7)) + 0.0625 * (Z(5) @ Z(8)) + 0.0625 * (Z(6) @ Z(7)) ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.6875, "smallest_bitstrings": ["1010010001", "0110110000", "0100111000", "0110010010", "0110010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.7976) q[0];
ry(0.5889) q[1];
ry(0.5608) q[2];
ry(0.8069) q[3];
ry(0.6305) q[4];
ry(0.0052) q[5];
ry(0.8028) q[6];
ry(0.8061) q[7];
ry(0.7996) q[8];
ry(0.8058) q[9];
crx(0.7915) q[9], q[0];
crx(0.4537) q[8], q[9];
crx(0.7894) q[7], q[8];
crx(0.7961) q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
d78f7556e7639886d17f02ad3944a31a | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": 4, "target":... | {"states": [0, 451], "expectation_value": -16.162521641773505, "params": [0.3569, 0.2331, -0.1082, 0.1388, 0.4188, 1.1735, 0.050800000000000005, 1.1391, 0.4585, 0.7128, 0.46830000000000005, 1.2517, 0.0083, 0.7782, -0.0125, 0.9473, -0.01, 0.8625, -0.0031000000000000003, 0.9051, -0.0143, 0.8703000000000001, 0.00030000000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(6)) + -2.5 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(6)) + 1.0 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z(6) + -2.0 * Z(3) + -2.0 * Z(4) + -2.0 * Z(5) +... | 6 | 9 | 2 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["000111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3569) q[0];
rz(0.2331) q[0];
rx(0.4188) q[1];
rz(1.1735) q[1];
rx(0.4585) q[2];
rz(0.7128) q[2];
rx(0.0083) q[3];
rz(0.7782) q[3];
rx(-0.01) q[4];
rz(0.8625) q[4];
rx(-0.0143) q[5];
rz(0.8703) q[5];
rx(0.0014) q[6];
rz(0.689) q[6];
rx(0.5726) q[7];
rz(0.1... | 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": 4} | {"circuits": [], "gradients": []} |
eedfffae46889ceabb09be93decddfde | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 2}, {"weight": 4, "source": 2, "target": 3}, {"... | {"states": [121, 109], "expectation_value": -18.089210742783244, "params": [[0.0009000000000000001, 0.024300000000000002, 0.0066, 0.0027], [-0.0134, -0.0422, -0.049100000000000005, -0.0489]], "bitstrings": ["10000110", "10010010"], "total_optimization_steps": 10, "probabilities": [0.011023777530652323, 0.01181078246599... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 2.0 * Z(0) + 18.0 * ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "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[1], q[0];
rz(0.0072) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0072) q[2];
cx q[0], q[2];
cx q[2], q[3];
rz(0.0072) q[3];
cx q[2], q[3];
cx q[1], q[4];
rz(0.0072) q[4];
cx q[1], q[4];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
2b0dcb8de0fd53b65168d5ba3893205a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 6, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 6, "source": 0, "target": 9}, {"capac... | {"states": [497, 501], "expectation_value": -17.285262107819804, "params": null, "bitstrings": ["1000001110", "1000001010"], "total_optimization_steps": 100, "probabilities": [0.11158904643612667, 0.5252151465830857], "optimization_time": 261.9123182296753} | -1.5 * (Z(0) @ Z(6)) + -0.5 * (Z(8) @ Z(6)) + -0.75 * (Z(8) @ Z(0)) + 2.5 * (Z(9) @ Z(0)) + -0.25 * (Z(1) @ Z(8)) + -1.5 * (Z(1) @ Z(9)) + -1.0 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(8)) + -1.5 * (Z(4) @ Z(2))... | 1 | 10 | 1 | {"smallest_eigenvalues": [-24.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.25, "smallest_bitstrings": ["1000001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
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];
cry(1.5708) q[7], q[3];
cry(-1.5708) q[7], q[6];
cry(-1.5708) q[9], q[0];
ry(1.0383) q[9];
cry(1.5708) q[9], q[1];
cry(1.5708) q[1], q[2];
cry(1.5708) q[2], q[4]... | 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(1.5708) 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]... |
598afa5ba5805c1178ca47cc998ec074 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 7}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"sour... | {"states": [108, 364], "expectation_value": -4.087737882091793, "params": [0.33390000000000003, 0.33230000000000004, -0.0078000000000000005, -0.008700000000000001, 0.4068, 0.405, 0.40440000000000004, 0.40240000000000004, -0.0034000000000000002, -0.0061, 0.4072, 0.40080000000000005, 0.39940000000000003, 0.3985, 0.1222, ... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(6) @ Z(8)) + -0.5 * Z(4) + -0.5 * Z(0) + -1.0 * Z(7) + -0.5 * Z(1) + 0.0 * Z(5) + -0.5 * Z(2) + -1.5 * Z(8) + 0.0 * Z(3) + 0.0 * Z(6) | 14 | 9 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["111000001", "000011011", "110010001", "010010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.3339) q[0];
ry(-0.0078) q[1];
ry(0.4068) q[2];
ry(0.4044) q[3];
ry(-0.0034) q[4];
ry(0.4072) q[5];
ry(0.3994) q[6];
ry(0.1222) q[7];
ry(-0.0034) q[8];
crx(0.1408) q[8], q[0];
crx(0.1278) q[7], q[8];
crx(-0.1468) q[6], q[7];
crx(0.1888) q[5], q[6];
crx(0.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
50803b752054f0512687e537ee7368f9 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}]} | {"states": [52, 21], "expectation_value": -2.4964491610978103, "params": null, "bitstrings": ["001011", "101010"], "total_optimization_steps": 22, "probabilities": [0.06701277438190029, 0.9297056987717313], "optimization_time": 12.783721446990967} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(5) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(2) + 0.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["001011", "101010", "111000", "110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.4449) q[4];
ry(-1.4449) q[2];
ry(1.4417) q[3];
ry(1.4384) q[1];
cry(-1.0398) q[5], q[0];
ry(0.7022) q[5];
cry(-0.1259) q[3], q[2];
ry(-0.4578) q[0];
cry(0.4969) q[3], q[5];
cry(-0.3761) q[3], q[0];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.4449) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
b03b4f369d39855dc91503bf499dc5a0 | 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": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [4839, 4855], "expectation_value": -0.18749788009842508, "params": [[0.00030000000000000003, -0.0028, -0.004200000000000001, 0.0024000000000000002, -0.0429, 0.007, 0.009600000000000001, 0.0059, 0.0044, 0.0012000000000000001, 0.0086, 0.0025, 0.0085], [0.0034000000000000002, 0.0091, -1.5684, -0.0557, 0.0002, 0... | 0.5 * (Z(0) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(6) @ Z(4)) + 0.0625 * (Z(6) @ Z(5)) + -0.0625 * (Z(2) @ Z(3) @ Z(4)) + -0.0625 * (Z(2)... | 9 | 13 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 34, "first_excited_energy": -3.0, "smallest_bitstrings"... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
cz q[12], q[11];
cz q[11], q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-8071113073813790835 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 3, 4, 6, 8], [8, 1, 3, 7], [1, 5, 7], [3, 4, 6, 7, 8], [1, 3, 4, 5], [4, 5, 6, 7], [2, 3, 4, 5, 6], [0, 1, 7], [2, 4, 5, 7, 8]]} | {"states": [379, 315], "expectation_value": -1.7406801936675798, "params": [1.4802, 0.0346, 1.4534, 0.0091, 1.1695, 0.47690000000000005, 0.7589, 0.0079, 1.0615, -0.37210000000000004, 0.8898, 0.0088, 1.4622000000000002, 0.0224, 1.4096, 0.0041, 1.4542000000000002, -0.0145, 1.2828000000000002, 0.005, 1.48, -0.066200000000... | 0.19999999999999998 * (Z(0) @ Z(1)) + 0.2 * (Z(3) @ Z(1)) + 0.03333333333333333 * (Z(3) @ Z(0)) + 0.11666666666666667 * (Z(4) @ Z(1)) + 0.03333333333333333 * (Z(4) @ Z(0)) + 0.21666666666666667 * (Z(4) @ Z(3)) + 0.03333333333333333 * (Z(6) @ Z(1)) + 0.03333333333333333 * (Z(6) @ Z(0)) + 0.13333333333333336 * (Z(6) @ Z(... | 5 | 9 | 1 | {"smallest_eigenvalues": [-2.2166666666666672, -2.2166666666666672], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.133333333333334, "smallest_bitstrings": ["011000100", "100001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.4802) q[0];
rz(0.0346) q[0];
rx(1.1695) q[1];
rz(0.4769) q[1];
rx(1.0615) q[2];
rz(-0.3721) q[2];
rx(1.4622) q[3];
rz(0.0224) q[3];
rx(1.4542) q[4];
rz(-0.0145) q[4];
rx(1.48) q[5];
rz(-0.0662) q[5];
rx(0.9709) q[6];
rz(-0.3548) q[6];
rx(1.4745) 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": []} |
3f6cd58ea9824e6c849fdf6cebbc868c | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 2, "target": 8}, {"source": 3, "target": 6}, {"source": 3, "target": 8}, {"sour... | {"states": [63, 255], "expectation_value": -12.206286178678097, "params": null, "bitstrings": ["11000000", "00000000"], "total_optimization_steps": 100, "probabilities": [0.10750184053339165, 0.32235008390372116], "optimization_time": 216.96114373207092} | -1.0 * (Z(0) @ Z(1)) + 1.5 * (Z(4) @ Z(7)) + -2.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + -3.0 * (Z(5) @ Z(7)) + -3.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -3.0 * (Z(6) @ Z(7)) + -3.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-17.0, -17.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -16.0, "smallest_bitstrings": ["00000000", "00111111"]} | 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(1.5708) q[4], q[5];
cry(1.5708) q[7], q[2];
cry(1.5708) q[7], q[6];
cry(0.9097) q[6], q[7];
cry(1.0488) q[3], q[4];
cry(1.3071) q[4], q[3];
cry(0.3409) q[2], q[5];
ry(0.1933) q[4];
cry(0.4119)... | null | {"node": 2} | {"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(1.5708) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... |
1976951548555572864 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 2], [1, 3], [0, 2, 3], [4, 5], [0, 2, 5], [3, 4], [2, 4]]} | {"states": [25, 13], "expectation_value": -2.729425544784543, "params": null, "bitstrings": ["100110", "110010"], "total_optimization_steps": 36, "probabilities": [0.031802493747689856, 0.8261202129528425], "optimization_time": 37.21085786819458} | 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.3333333333333335 * ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["110010"]} | 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(1.2292) q[0];
cry(-1.0342) q[3], q[4];
cry(-1.0342) q[3], q[1];
ry(1.3977) q[2];
cry(-0.7089) q[5], q[4];
ry(0.8069) q[3];
cry(-0.8214) q[2], q[1];
cry(0.4319) q[2], q[3];
cry(-0.4189) q[2], q[4];
cry(1.0918) ... | 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(1.2292) 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... |
-3169016904147589448 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 5], [0, 5], [4, 5], [1, 7], [8, 7], [1, 2], [2, 5], [6, 7], [1, 5], [5, 7], [0, 3], [8, 3], [3, 7], [2, 6]]} | {"states": [172, 339], "expectation_value": -0.1740108679917033, "params": [[0.0787], [-0.0816]], "bitstrings": ["101010011", "010101100"], "total_optimization_steps": 10, "probabilities": [0.0024841195738593033, 0.0024841195738593033], "optimization_time": 0.851464033126831} | 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(7)) + 0.0 * Z(5) +... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["010101100", "101010011"]} | 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[5], q[8];
rz(0.0787) q[8];
cx q[5], q[8];
cx q[5], q[0];
rz(0.0787) q[0];
cx q[5], q[0];
cx q[5], q[4];
rz(0.0787) q[4];
cx q[5], q[4];
cx q[5], q[1];
rz(0.0787) q[1];
cx q[5], q[1];
... | 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[5], q[8];
rz(x0) q[8];
cx q[5], q[8];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[5], q[4];
rz(x0) q[4];
cx q[5], q[4];... | null | {"circuits": [], "gradients": []} |
edc3bac605c0e8fb4f027513dd92e8fb | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [20, 6], "expectation_value": -3.473756712958944, "params": null, "bitstrings": ["01011", "11001"], "total_optimization_steps": 15, "probabilities": [0.07348052951562349, 0.9007122774688736], "optimization_time": 9.418607711791992} | 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(2) @ Z(4)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + -0.5 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["01011", "11001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5708) q[1];
ry(-1.5681) q[4];
ry(1.4449) q[2];
cry(-1.0343) q[3], q[0];
ry(0.7003) q[3];
ry(-0.4549) q[0];
cry(0.4963) q[2], q[3];
cry(-0.3789) q[2], q[0];
cry(0.1072) q[3], q[2];
cry(-0.0719) q[0], q[3];
cry(-0.00... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[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]... |
b4764399bb7694871d7cf0cc7a871143 | min_cut | qaoa | {"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": -2.5318777020006413, "params": [[0.07150000000000001, 0.07150000000000001, 0.0517], [-0.0758, -0.0784, -0.060000000000000005]], "bitstrings": ["10110", "10010"], "total_optimization_steps": 10, "probabilities": [0.05990366916756355, 0.08087065214061903], "optimization_time": 2.5... | -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 | 3 | {"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;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(-0.143) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(0.1788) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(-0.1073) q[1];
cx q[3], q[1];
cx q[4], q[1];
rz(-0.1073) q[1];
cx q[4], q[1];
cx q[3], q[2];
rz(-0.1788) 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": 4} | {"circuits": [], "gradients": []} |
aafba232bddbab68741369c28fd60f9f | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}]} | {"states": [23, 11], "expectation_value": -3.5163821781233495, "params": [[-0.0528, -0.0582, -0.0572, -0.0309], [0.060500000000000005, 0.062400000000000004, 0.0683, 0.062]], "bitstrings": ["101000", "110100"], "total_optimization_steps": 10, "probabilities": [0.03266554948369815, 0.038552489814773855], "optimization_ti... | 0.5 * (Z(0) @ Z(4)) + 2.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(1)) + 1.0... | 1 | 6 | 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;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(-0.0528) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(-0.2112) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(-0.1056) q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.0528) q[1];
cx q[4], q[1];
cx q[0], q[1];
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": 3} | {"circuits": [], "gradients": []} |
ec86dd03f1bc9f7a5980c14449900d15 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, ... | {"states": [9, 1], "expectation_value": -0.2002503952694436, "params": [[-0.0539], [0.069]], "bitstrings": ["11110110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.004590441112461031, 0.00462014661454049], "optimization_time": 2.1526803970336914} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(2)) + -0.75 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(4) @ ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.75, "smallest_bitstrings": ["11111110", "11111100", "11110110", "11110100"]} | 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(0.0539) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0539) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0539) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(0.0539) q[5];
cx q[0], q[5];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3]... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
b2309033b6624415ccab4ec6991f5bce | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, ... | {"states": [25, 6], "expectation_value": -1.1101346512389556, "params": [[0.0649, 0.0688], [-0.0614, -0.0685]], "bitstrings": ["1100110", "1111001"], "total_optimization_steps": 10, "probabilities": [0.010888358073040925, 0.011300378400585068], "optimization_time": 4.134987115859985} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + -1.5 * Z(2) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.5, "smallest_bitstrings": ["1011101", "1100111", "1111001", "1110110", "0011111", "1001111", "1011110"]} | 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(0.0649) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.0649) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(0.0649) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.0649) q[4];
cx q[0], q[4];
cx q[3], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} |
cde6b48ed870286595c1455af7aff8bd | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [2, 0], "expectation_value": -0.12201387845482659, "params": [[-0.041600000000000005, -0.0403, -0.038700000000000005, -0.0103], [0.0524, 0.0456, 0.0465, 0.0223]], "bitstrings": ["101", "111"], "total_optimization_steps": 10, "probabilities": [0.12904769245841566, 0.13589130276000277], "optimization_time": 2.... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0) @ Z(1)) + -0.75 * Z(0) + -0.75 * Z(1) + -0.75 * Z(2) | 1 | 3 | 4 | {"smallest_eigenvalues": [-1.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["111"]} | 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(-0.0208) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0208) q[2];
cx q[0], q[2];
cx q[1], q[2];
rz(-0.0208) q[2];
cx q[1], q[2];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0208) q[2];
cx q[0], q[2];
cx q[1], q[0];
rz(0.0624) q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
8ed7cc91faf8f25841f02066a68a347e | 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": 4, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 4... | {"states": [29, 63], "expectation_value": -6.499833697733492, "params": [[0.0025, -0.0023, 1.1129, 1.1137000000000001, -0.2084, -0.0023, 0.9916], [1.5692000000000002, 1.1024, 0.0029000000000000002, -1.4112, -0.0028, 0.20350000000000001, -0.0027], [0.6032000000000001, 0.37520000000000003, -0.5734, 1.5731000000000002, -0... | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -0.75 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(4)) + -0.75 * (Z(5) @ Z(6)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.0 * Z(2) ... | 9 | 7 | 4 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(0.0025) q[0];
rx(-0.0023) q[1];
rx(1.1129) q[2];
rx(1.1137) q[3];
rx(-0.2084) q[4];
rx(-0.0023) q[5];
rx(0.9916... | OPENQASM 3.0;
include "stdgates.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": []} |
fc603aae74a127a53d7b15155a35177e | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [21866, 21930], "expectation_value": -1.71108820259548, "params": null, "bitstrings": ["1010101010010101", "1010101001010101"], "total_optimization_steps": 100, "probabilities": [0.12364957341978873, 0.2671346009908363], "optimization_time": 913.2621641159058} | 0.25 * (Z(0) @ Z(1)) + 0.0002314814814814815 * (Z(2) @ Z(0)) + 0.0002314814814814815 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0012345679012345679 * (Z(4) @ Z(0)) + -0.0009259259259259261 * (Z(4) @ Z(2)) + -0.0012345679012345679 * (Z(5) @ Z(1)) + -0.0009259259259259261 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 7.71604... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0217592592592073], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.021759259259199, "smallest_bitstrings": ["1010101001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cry(-0.5941) q[10], q[11];
cry(-0.5945) q[8], q[9];
cry(-0.5949) q[14], q[15];
cry(-0.5941) q[3], q[2];
cry(-0.5938) q[5], q... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncry(-0.5941) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure ... |
cb02c01f35b3eb9d4161bd850dfaa72c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [0, 14], "expectation_value": -2.6638519873577824, "params": [0.3879, 0.0425, 0.0884, -0.2049, 0.10210000000000001, -0.2088, 0.3567, 0.1389, 0.5075000000000001, -0.0025, 0.4983, 0.0011, 0.49770000000000003, 0.0002, 0.042800000000000005, -0.2419, 0.38680000000000003, 0.031400000000000004, 0.084, -0.2114, 0.10... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + -1.0 * Z(2) + -1.0 * Z(0) + -0.5 * Z(6) + -1.5 * Z(7) + -1.0 * Z(1) + -0.5 * Z(3) + -0.5 * Z(5) + 0.... | 4 | 8 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -3.0, "smallest_bitstrings": ["11000111", "01110011", "11110001", "10010111", "01100111", "00110111", "11010011", "11101100", "10110101", "11100101", "11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3879) q[0];
rz(0.0425) q[0];
rx(0.0884) q[1];
rz(-0.2049) q[1];
rx(0.1021) q[2];
rz(-0.2088) q[2];
rx(0.3567) q[3];
rz(0.1389) q[3];
rx(0.5075) q[4];
rz(-0.0025) q[4];
rx(0.4983) q[5];
rz(0.0011) q[5];
rx(0.4977) q[6];
rz(0.0002) q[6];
rx(0.0428) 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": []} |
185f4b48e29d187effa57245dadce54c | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5},... | {"states": [2023, 2047], "expectation_value": -16.49426670037188, "params": null, "bitstrings": ["00000011000", "00000000000"], "total_optimization_steps": 100, "probabilities": [0.10705200097568555, 0.30587522494170105], "optimization_time": 263.2472789287567} | -3.0 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + -2.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 1.0 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + -2.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -3.0 * (Z(3) @ Z(1)) + 1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -2.5... | 1 | 11 | 1 | {"smallest_eigenvalues": [-27.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.5, "smallest_bitstrings": ["00000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cry(1.5708) q[5], q[0];
cry(1.5708) q[0], q[2];
cry(0.72) q[2], q[5];
cry(1.5709) q[2], q[3];
cry(1.5262) q[3], q[1];
cry(1.5708) q[1], q[4];
ry(-0.0382) q[0];
cry(-1.93... | null | {"node": 11} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[5], q[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[... |
23529db270bae4def52806aeae1d449e | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": ... | {"states": [1023, 1019], "expectation_value": -14.023302497054978, "params": [[[-0.0026000000000000003, 3.1597], [0.0031000000000000003, -0.0028], [-0.0033, 0.0031000000000000003], [0.0022, 0.0028], [-0.003, 0.0028], [0.0019, 0.0023], [0.0023, 0.0021000000000000003], [-1.6194000000000002, 0.0021000000000000003], [0.002... | -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)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(9) + 0.5 * Z(8) + 0.5 * Z(2) ... | 15 | 10 | 1 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["0000000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0026) q[0];
ry(0.0031) q[1];
ry(-0.0033) q[2];
ry(0.0022) q[3];
ry(-0.003) q[4];
ry(0.0019) q[5];
ry(0.0023) q[6];
ry(-1.6194) q[7];
ry(0.0026) q[8];
ry(0.0024) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"node": 7} | {"circuits": [], "gradients": []} |
4178481052187267646 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 2, 7], [0, 8], [1, 7], [8, 3], [0, 4], [8, 5], [1, 6]]} | {"states": [209, 23], "expectation_value": -0.08640369519734978, "params": [[0.08], [-0.08510000000000001]], "bitstrings": ["100101110", "111101000"], "total_optimization_steps": 10, "probabilities": [0.002309638351921583, 0.0023098294046197962], "optimization_time": 0.6335523128509521} | 0.16666666666666666 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(8)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666666 * Z(2) + 0.16666666666666674 * Z(8) + 0.16666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.3333333333333335, -3.3333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.3333333333333326, "smallest_bitstrings": ["111101000", "100101110"]} | 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[8];
rz(0.0267) q[8];
cx q[2], q[8];
cx q[2], q[7];
rz(0.0267) q[7];
cx q[2], q[7];
cx q[8], q[7];
rz(0.0267) q[7];
cx q[8], q[7];
cx q[8], q[0];
rz(0.08) q[0];
cx q[8], q[0];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[8];
rz(x0) q[8];
cx q[2], q[8];
cx q[2], q[7];
rz(x0) q[7];
cx q[2], q[7];
cx q[8], q[7];
rz(x0) ... | null | {"circuits": [], "gradients": []} |
a240ae5f21b69aa9f6372f927de5c9ae | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"sour... | {"states": [126, 94], "expectation_value": -2.928298415808272, "params": [0.0499, 0.048400000000000006, 0.17700000000000002, 0.18180000000000002, 0.3966, 0.3975, 0.3874, 0.39380000000000004, 0.40180000000000005, 0.40090000000000003, 0.40640000000000004, 0.4026, 0.39840000000000003, 0.3992, 0.40190000000000003, 0.409500... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(2) + -1.0 * Z(0) + -0.5 * Z(5) + 0.0 * Z(7) + -0.5 * Z(1) + -0.5 * Z(4) + -1.5 * Z(8) + -0.... | 13 | 9 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["110000101", "110100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0499) q[0];
ry(0.177) q[1];
ry(0.3966) q[2];
ry(0.3874) q[3];
ry(0.4018) q[4];
ry(0.4064) q[5];
ry(0.3984) q[6];
ry(0.4019) q[7];
ry(-0.0065) q[8];
crz(0.193) q[8], q[0];
crz(-0.0002) q[7], q[8];
crz(0.0013) q[6], q[7];
crz(0.0007) q[5], q[6];
crz(0.0018)... | OPENQASM 3.0;
include "stdgates.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": []} |
87c3ced1ef7832360d99a2d1828a4d93 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [10, 12], "expectation_value": -4.474105370885989, "params": null, "bitstrings": ["110101", "110011"], "total_optimization_steps": 15, "probabilities": [0.07397893941132597, 0.9005734987526041], "optimization_time": 12.12476921081543} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["111010", "011011", "110101", "110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
ry(-1.5681) q[0];
ry(-1.4449) q[5];
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[5];
cry(0.1... | 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... |
af20b42365f0606cbdbd2c457736b939 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [70, 102], "expectation_value": -3.5442980170354965, "params": [0.3881, -0.0071, 0.3885, -0.006900000000000001, 0.40490000000000004, 0.003, 0.40130000000000005, 0.0021000000000000003, 0.39430000000000004, -0.0063, 0.39530000000000004, -0.006500000000000001, -0.0037, 0.2107, 0.0014, 0.2086, 0.0535000000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + 0.0 * Z(1) + -1.5 * Z(... | 7 | 8 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["10011001", "00111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3881) q[0];
rz(-0.0071) q[0];
rx(0.4049) q[1];
rz(0.003) q[1];
rx(0.3943) q[2];
rz(-0.0063) q[2];
rx(-0.0037) q[3];
rz(0.2107) q[3];
rx(0.0535) q[4];
rz(0.2129) q[4];
rx(0.4019) q[5];
rz(0.1364) q[5];
rx(0.4071) q[6];
rz(0.0024) q[6];
rx(-0.0021) 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": []} |
4ff6cd3ae35a7505dd00eb5f37bcfa52 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}], "edges": [{"weight": 2, "source": 0, "target": 3}, {"weight": 8, "... | {"states": [29, 93], "expectation_value": -34.313936543477794, "params": null, "bitstrings": ["11100010", "10100010"], "total_optimization_steps": 100, "probabilities": [0.1091240078813684, 0.22009271386072485], "optimization_time": 155.45229625701904} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(4)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 17.5 * Z(1) + -3.0 * Z(0) + 15.0 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(7.7632) q[1];
ry(63.0969) q[3];
cry(62.818) q[1], q[3];
ry(37.6583) q[5];
cry(3.9267) q[1], q[5];
ry(-9.2102) q[7];
cry(-21.3283) q[1], q[7];
cry(-7.49) q[7], q[3];
ry(62.913) q[2];
cry(62.8534... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 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(7.7632) 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[... |
1e893dfbb1c990e67f8298b0e1719b46 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [383, 127], "expectation_value": -18.084008708008596, "params": [0.0036000000000000003, 1.2963, 0.0022, 0.006200000000000001, -0.049100000000000005, 1.3586, 1.4387, 0.0068000000000000005, -0.0028, 1.5830000000000002, 0.0028, 0.00030000000000000003, 1.9131, 0.9021, -0.0889, 0.0053, 1.723, 0.1033, -0.2833, 0.0... | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -1.5 * Z(2) + -1.0 * Z(0) + 1.0 * Z(1) + 0.5 * ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["1110000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0036) q[0];
rz(1.2963) q[0];
rx(-0.0491) q[1];
rz(1.3586) q[1];
rx(-0.0028) q[2];
rz(1.583) q[2];
rx(1.9131) q[3];
rz(0.9021) q[3];
rx(1.723) q[4];
rz(0.1033) q[4];
rx(-1.634) q[5];
rz(0.065) q[5];
rx(0.5092) q[6];
rz(0.0494) q[6];
rx(0.1909) q[7];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 0} | {"circuits": [], "gradients": []} |
6317467715134932870 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 4, 6], [2, 4, 6], [0, 4, 6], [0, 1, 4, 5], [0, 2, 3, 4, 5]]} | {"states": [126, 124], "expectation_value": -0.9977360989137234, "params": [1.2995, -0.0112, 1.0094, 0.0077, 1.2892000000000001, -0.0078000000000000005, 1.2797, 0.008700000000000001, 1.2875, -0.006, 1.2406000000000001, 0.004, 1.2946, -0.0073, 1.2873, 0.0, 1.2816, -0.0037, 1.2639, 0.009300000000000001, 1.0861, 0.0223, 1... | 0.08333333333333333 * (Z(1) @ Z(3)) + 0.13333333333333333 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.41666666666666663 * (Z(6) @ Z(4)) + 0.05 * (Z(2) @ Z(3)) + 0.21666666666666667 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z... | 6 | 7 | 1 | {"smallest_eigenvalues": [-1.3666666666666665, -1.3666666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.2833333333333334, "smallest_bitstrings": ["0000100", "0000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.2995) q[0];
rz(-0.0112) q[0];
rx(1.2892) q[1];
rz(-0.0078) q[1];
rx(1.2875) q[2];
rz(-0.006) q[2];
rx(1.2946) q[3];
rz(-0.0073) q[3];
rx(1.2816) q[4];
rz(-0.0037) q[4];
rx(1.0861) q[5];
rz(0.0223) q[5];
rx(0.8731) q[6];
rz(-0.0024) q[6];
crx(-0.2835) q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
0d4975981166b2874d2e3fb8df49ba97 | matching | qaoa | {"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}], "edges": [{"weight": 1, "source": 0, "t... | {"states": [246, 214], "expectation_value": -16.50249679819947, "params": [[0.0425, -0.0307, -0.0558], [-0.060700000000000004, -0.0022, 0.0669]], "bitstrings": ["100001001", "100101001"], "total_optimization_steps": 10, "probabilities": [0.006266454161849161, 0.009335535718449072], "optimization_time": 5.24370455741882... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(8)) + 14.0 * Z(1) + 0.5 * Z(0) + 18.5 * Z(4) + 13.5 * Z(2) + 7... | 1 | 9 | 3 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["100101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.3825) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.3825) q[4];
cx q[1], q[4];
cx q[0], q[2];
rz(0.3825) q[2];
cx q[0], q[2];
cx q[4], q[2];
rz(0.3825) q[2];
cx q[4], q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
ff3da4502ef8840845e529be8709b97a | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [0, 15], "expectation_value": -21.966511081024276, "params": [0.0033, 1.8052000000000001, -0.0025, 0.0095, 0.002, 2.8047, 0.005, 0.0037, -0.0029000000000000002, 2.1913, 0.004, 0.003, -0.0019, 2.5093, -0.0014, 0.0008, 0.0024000000000000002, 2.2041, -0.0038, 0.006900000000000001, -0.0034000000000000002, 2.6033... | -3.0 * (Z(0) @ Z(4)) + -3.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(0)) + 1.0 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + -3.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + -2.0 * (Z(2) @ Z(1)) + -3.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + -1.5 *... | 6 | 10 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["1111110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0033) q[0];
rz(1.8052) q[0];
rx(0.002) q[1];
rz(2.8047) q[1];
rx(-0.0029) q[2];
rz(2.1913) q[2];
rx(-0.0019) q[3];
rz(2.5093) q[3];
rx(0.0024) q[4];
rz(2.2041) q[4];
rx(-0.0034) q[5];
rz(2.6033) q[5];
rx(-0.4524) q[6];
rz(1.782) q[6];
rx(-1.0711) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} |
-9199730976855688020 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[10, 3], [2, 4], [0, 1], [0, 7], [8, 1], [1, 4], [1, 3], [1, 10], [8, 4], [5, 7], [9, 4], [1, 7], [10, 5], [6, 7], [10, 7], [0, 5], [8, 0], [8, 2], [8, 3], [8, 5], [3, 7], [0, 6], [9, 10], [9, 6], [0, 9], [1, 6], [5, 6], [8, 9], [1, 2], [2, 6], [8, 6], [8, 7]... | {"states": [1237, 1109], "expectation_value": -0.10781569292801994, "params": [1.6774, 0.003, 1.4433, 0.0027, 1.4609, 0.0081, 1.5015, 0.0039000000000000003, 1.6986, 0.0034000000000000002, 1.4447, 0.0037, 1.7041000000000002, 0.0014, 1.4788000000000001, 0.0047, 1.6603, 0.005200000000000001, 1.443, 0.007200000000000001, 1... | 0.5 * (Z(10) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(10)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(10)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(... | 16 | 11 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["10001010101", "01100101010", "01110101010", "10011010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.6774) q[0];
rz(0.003) q[0];
rx(1.4433) q[1];
rz(0.0027) q[1];
rx(1.4609) q[2];
rz(0.0081) q[2];
rx(1.5015) q[3];
rz(0.0039) q[3];
rx(1.6986) q[4];
rz(0.0034) q[4];
rx(1.4447) q[5];
rz(0.0037) q[5];
rx(1.7041) q[6];
rz(0.0014) q[6];
rx(1.4788) 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": []} |
-1883348412401051560 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2], [5, 6], [4, 5, 7], [2, 3], [0, 4], [1, 3], [0, 2, 7]]} | {"states": [197, 213], "expectation_value": -2.0581651659596387, "params": null, "bitstrings": ["00111010", "00101010"], "total_optimization_steps": 54, "probabilities": [0.37288562501601097, 0.3942565701988696], "optimization_time": 71.59301495552063} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.16666666666666666 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.166666666666667, -2.166666666666667, -2.166666666666667, -2.166666666666667, -2.166666666666667, -2.166666666666667], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.833333333333334, "smallest_bitstrings": ["00101010", "10010100", "11010100", "00111010", "01101010", "1100010... | 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(1.2292) q[7];
cry(-1.0342) q[2], q[3];
cry(-1.0342) q[5], q[6];
ry(0.7191) q[5];
cry(-1.1437) q[0], q[4];
ry(0.7527) q[0];
ry(-0.5113) q[4];
cry(0.4939) q[7], q[0];
ry(0.929) q[1];
cry(-0.7661)... | 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(1.2292) 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[... |
9ccd9f6529d5a9ac74541f04b00ec686 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "s... | {"states": [0, 1], "expectation_value": -10.295194167177126, "params": [0.0012000000000000001, -0.1155, 0.0022, 0.4556, 0.002, 0.44, 0.0037, 0.33330000000000004, 0.0028, 0.6035, 0.0026000000000000003, 0.5144000000000001, 0.0025, 0.5749000000000001, 0.0055000000000000005, 0.19540000000000002, 0.7997000000000001, 0.0038,... | -0.75 * (Z(0) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(6)) + -0.75 * (Z(1) @ Z(7)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(4) ... | 4 | 9 | 2 | {"smallest_eigenvalues": [-11.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0012) q[0];
rz(-0.1155) q[0];
rx(0.0022) q[1];
rz(0.4556) q[1];
rx(0.002) q[2];
rz(0.44) q[2];
rx(0.0037) q[3];
rz(0.3333) q[3];
rx(0.0028) q[4];
rz(0.6035) q[4];
rx(0.0026) q[5];
rz(0.5144) q[5];
rx(0.0025) q[6];
rz(0.5749) q[6];
rx(0.0055) q[7];
rz(0.19... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
d030c61aecb3e0005b1eeeae4c1beaf6 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": ... | {"states": [847, 783], "expectation_value": -2.9014734193032465, "params": [[0.1218], [-0.11720000000000001]], "bitstrings": ["0010110000", "0011110000"], "total_optimization_steps": 20, "probabilities": [0.0028798893821379017, 0.0029041523616515188], "optimization_time": 2.8117318153381348} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(6) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(6)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 1.5 * Z(5) + -2.0 * Z(2... | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["0011110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(-0.2436) q[0];
cx q[1], q[0];
cx q[5], q[2];
rz(-0.4872) q[2];
cx q[5], q[2];
cx q[2], q[3];
rz(0.1218) q[3];
cx q[2], q[3];
cx q[5], q[4];
rz(-0.4872) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q... | {"node": 4} | {"circuits": [], "gradients": []} |
83e6ae67eaaf3c236b289ec3dffbd0ae | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "... | {"states": [0, 4080], "expectation_value": -14.681479735895854, "params": [[0.0634], [-0.1646]], "bitstrings": ["111111111111", "000000001111"], "total_optimization_steps": 20, "probabilities": [0.0020538153759610315, 0.002126705316771914], "optimization_time": 4.344269514083862} | -4.0 * (Z(0) @ Z(1)) + 2.0 * (Z(2) @ Z(1)) + -4.0 * (Z(2) @ Z(0)) + -3.0 * (Z(4) @ Z(1)) + -4.0 * (Z(4) @ Z(0)) + 1.5 * (Z(4) @ Z(2)) + -4.0 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(2)) + 1.5 * (Z(5) @ Z(4)) + -4.0 * (Z(6) @ Z(1)) + -3.5 * (Z(6) @ Z(0)) + -4.0 * (Z(6) @ Z(2)) + -4.0 * (Z(6) @ Z(4)) + -... | 1 | 12 | 1 | {"smallest_eigenvalues": [-66.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["000000001111"]} | 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(-0.5072) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2536) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.5072) q[2];
cx q[0], q[2];
cx q[1], q[4];
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... | {"node": 11} | {"circuits": [], "gradients": []} |
53c11691570e44ca420dcd92cb36ab0e | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [237, 205], "expectation_value": -34.40867795912687, "params": null, "bitstrings": ["100010010", "100110010"], "total_optimization_steps": 100, "probabilities": [0.08514246590232306, 0.12356188420609844], "optimization_time": 182.9101049900055} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(7) @ Z(8)) + 5.0 * (Z(5) @ Z(0)) + 5.0 * (Z(5) @ Z(8)) + 5.0 * (Z(5) @ Z(7)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(8)) + 5.0 * (Z(6) @ Z(7)) + 5.0 * (Z(6) @ Z(5)) + 10.5 * Z(1) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.5, "smallest_bitstrings": ["100110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.7706) q[6];
ry(14.6978) q[2];
ry(27.073) q[5];
cry(-22.706) q[6], q[2];
ry(24.8517) q[1];
cry(-14.3918) q[6], q[1];
ry(-10.332) q[0];
cry(40.3555) q[6], q[0];
cry(3.0563) q[5], q[1];
... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 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(1.7706) 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] = m... |
20b8b0e5c782cc8ea901a917e3736a5b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 8}, {"weight": 18, "source": 1, "target": 9}, {"weight":... | {"states": [946, 434], "expectation_value": -62.07652091589637, "params": [1.0997000000000001, 0.39830000000000004, 1.0971, 0.0033, 1.1021, 0.22080000000000002, 0.6549, 0.0048000000000000004, 1.0974000000000002, 0.2773, 1.094, 0.0037, 1.0948, -0.3337, 0.2938, 0.0013000000000000002, 1.0956000000000001, 0.315200000000000... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(4)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(1)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(9) @ Z(8)) + 7.5 * Z(1) + 3.0 * Z(0) + 14.5 * Z(2) + 14.5 * Z(4) + 2.... | 6 | 10 | 1 | {"smallest_eigenvalues": [-93.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.5, "smallest_bitstrings": ["1001001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.0997) q[0];
rz(0.3983) q[0];
rx(1.1021) q[1];
rz(0.2208) q[1];
rx(1.0974) q[2];
rz(0.2773) q[2];
rx(1.0948) q[3];
rz(-0.3337) q[3];
rx(1.0956) q[4];
rz(0.3152) q[4];
rx(1.099) q[5];
rz(0.3858) q[5];
rx(1.1001) q[6];
rz(0.2744) q[6];
rx(1.0982) 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", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
4561312364359748419 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 4, 6, 9], [0, 4, 5], [0, 1, 2, 7, 9, 10], [2, 4, 5, 6, 7, 9], [1, 3, 4, 5, 6, 7, 8, 10], [0, 2, 3, 4, 7, 9], [2, 3, 4, 6, 7, 8, 10], [0, 1, 3], [8, 9, 5, 1]]} | {"states": [1211, 1215], "expectation_value": -2.0178397405501713, "params": [1.5685, 1.5601, 0.051300000000000005, 0.054700000000000006, 0.1428, 0.19160000000000002, 1.5684, 1.5694000000000001, 0.0819, 0.0743, 1.5685, 1.5689000000000002, 1.5614000000000001, 1.5737, 1.5791000000000002, 1.5664, 0.8748, 0.880400000000000... | 0.11666666666666667 * (Z(0) @ Z(2)) + 0.14047619047619048 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.10714285714285715 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(0)) + 0.125 * (Z(6) @ Z(4)) + 0.15 * (Z(9) @ Z(2)) + 0.11666666666666667 * (Z(9) @ Z(0)) + 0.11666666666666667 * (Z(9) @ Z(4)) + 0.08333333333333334 * (Z(9) @ Z(6)) +... | 13 | 11 | 1 | {"smallest_eigenvalues": [-2.0857142857142854], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.067857142857142, "smallest_bitstrings": ["01101000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.5685) q[0];
ry(0.0513) q[1];
ry(0.1428) q[2];
ry(1.5684) q[3];
ry(0.0819) q[4];
ry(1.5685) q[5];
ry(1.5614) q[6];
ry(1.5791) q[7];
ry(0.8748) q[8];
ry(1.5713) q[9];
ry(1.9132) q[10];
crz(0.0474) q[10], q[0];
crz(0.0028) q[9], q[10];
crz(0.0029) 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[... | null | {"circuits": [], "gradients": []} |
15981867526b451292338ffade4ee93e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [124, 60], "expectation_value": -1.0138478114421912, "params": [1.4824000000000002, 0.0061, 1.7077, 0.0047, 1.7039000000000002, 0.0091, 1.6983000000000001, 0.0023, 1.7100000000000002, 0.009000000000000001, 0.45020000000000004, 0.0032, 0.4403, 0.0, 0.0031000000000000003, 0.0043, 0.0089, 0.0068000000000000005,... | 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(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.2... | 18 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["1000011", "0101001", "0010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.4824) q[0];
rz(0.0061) q[0];
rx(1.7077) q[1];
rz(0.0047) q[1];
rx(1.7039) q[2];
rz(0.0091) q[2];
rx(1.6983) q[3];
rz(0.0023) q[3];
rx(1.71) q[4];
rz(0.009) q[4];
rx(0.4502) q[5];
rz(0.0032) q[5];
rx(0.4403) q[6];
rz(0) q[6];
crz(0.0031) q[6], q[0];
crz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
1472a5ca67e59e25eeaff89f60d0271a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"sour... | {"states": [167, 183], "expectation_value": -3.08028883753881, "params": [0.0849, 0.47100000000000003, 0.0828, 0.0013000000000000002, 0.8115, 0.2858, 0.8127000000000001, 0.003, -0.014400000000000001, 0.39690000000000003, -0.007200000000000001, 0.0078000000000000005, 0.8012, 0.09630000000000001, 0.8037000000000001, 0.00... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.0 * Z(1) + -1.0 * Z(0) + 0.0 * Z(4) + -0.5 * Z(7) + -1.5 * Z(2) + -1.0 * Z(5) + 0.0 * Z(6) + -0.5 * Z(8) + 0.0 * Z(3) | 7 | 9 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["101001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0849) q[0];
rz(0.471) q[0];
rx(0.8115) q[1];
rz(0.2858) q[1];
rx(-0.0144) q[2];
rz(0.3969) q[2];
rx(0.8012) q[3];
rz(0.0963) q[3];
rx(0.8008) q[4];
rz(0.0023) q[4];
rx(0.1694) q[5];
rz(-0.3001) q[5];
rx(0.8073) q[6];
rz(-0.0043) q[6];
rx(0.8024) 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": []} |
5685d04b4306b22ae56a2bbc733b9334 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [42, 74], "expectation_value": -4.496446952351245, "params": null, "bitstrings": ["1010101", "0110101"], "total_optimization_steps": 28, "probabilities": [0.0670129819919766, 0.9297039673563083], "optimization_time": 23.312415838241577} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 * Z(4) + -1.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) | 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": ["1010101", "0110110", "0110101", "0101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[4];
ry(-1.4449) q[6];
ry(-1.4449) q[2];
ry(1.4417) q[3];
ry(1.4384) q[5];
cry(-1.0398) q[0], q[1];
ry(0.7022) q[0];
cry(-0.1259) q[5], q[2];
ry(-0.4578) q[1];
cry(0.4969) q[3], 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[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
f5d94ed048c28683c088d45a2d452aca | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [106, 46], "expectation_value": -4.9998759092045795, "params": null, "bitstrings": ["0010101", "1010001"], "total_optimization_steps": 34, "probabilities": [1.718011795391879e-05, 0.9999250378357711], "optimization_time": 39.61369824409485} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(4) + -2.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(5) + 0.0 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1010001"]} | 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[0];
ry(-1.4449) q[2];
ry(1.4449) q[3];
ry(1.4417) q[5];
ry(1.4417) q[1];
ry(1.4384) q[4];
cry(-0.1259) q[5], q[2];
cry(-0.1259) q[4], q[0];
cry(0.1246) q[3], q[4];
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", ... |
52d445418826abb1edfe2507a27ebafb | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 20, "source": 1, "target": 5}, {"weight": 3, "source": 2, "target": 3}, {"... | {"states": [106, 110], "expectation_value": -24.050789160379516, "params": null, "bitstrings": ["10010101", "10010001"], "total_optimization_steps": 100, "probabilities": [0.12740879726852652, 0.13759641916956722], "optimization_time": 153.2179217338562} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 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)) + 8.5 * Z(1) + 3.0 * Z(0) + 14.0 * Z(2) + 9.5 * Z(4) + 5.5 * Z(3) + 11.0 * Z(5) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(22.4081) q[2];
ry(-5.9954) q[6];
ry(-8.9441) q[4];
ry(17.7441) q[7];
ry(62.9292) q[5];
cry(-25.2651) q[6], q[2];
cry(-4.8373) q[5], q[2];
cry(-11.3979) q[6], q[4];
ry(-0.4752) q[1];
ry(0.0881) ... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(22.4081) 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... |
64ffe24ff120dd8af3137cfb7f155613 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 8}, {"source": 2, "target":... | {"states": [316, 317], "expectation_value": -6.9739990221395445, "params": [[[0.0028, 0.0022, 0.0058000000000000005, 0.0019], [1.0496, 0.0027, 1.0504, 0.0053], [0.0018000000000000002, 0.004200000000000001, 0.0059, 0.0076], [0.0021000000000000003, -0.9726, 0.0021000000000000003, 0.0026000000000000003], [1.6006, 0.0033, ... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) ... | 12 | 10 | 1 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["1011000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0028) q[0];
rz(0.0022) q[0];
ry(1.0496) q[1];
rz(0.0027) q[1];
ry(0.0018) q[2];
rz(0.0042) q[2];
ry(0.0021) q[3];
rz(-0.9726) q[3];
ry(1.6006) q[4];
rz(0.0033) q[4];
ry(0.382) q[5];
rz(-0.0117) q[5];
ry(1.6034) q[6];
rz(0.0044) q[6];
ry(0.3809) 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": []} |
3548e6a53fe7f33eccefb9f4fe0aae2f | 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": 7}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 4, "source": 3, ... | {"states": [128, 127], "expectation_value": -0.19894741774662683, "params": [[0.06330000000000001], [-0.0522]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004343170275690316, 0.004406679132127582], "optimization_time": 1.7238574028015137} | 0.25 * (Z(0) @ Z(7)) + -1.0 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(5) @ Z(7)) + -1.25 * (Z(4) @ Z(5)) + -0.25 * (Z(6) @ Z(5)) + -1.25 * Z(7) + -0.25 * Z(0) + -1.0 * Z(1) + 1.25 * Z(2) + 0.75 * Z(3) + -1.0 * Z(5) + 1.25 * Z(4) + 0.25 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["10000000", "11000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(0.0317) q[0];
cx q[7], q[0];
cx q[1], q[2];
rz(-0.1266) q[2];
cx q[1], q[2];
cx q[7], q[3];
rz(-0.1266) q[3];
cx q[7], q[3];
cx q[2], q[3];
rz(-0.0317) q[3];
cx q[2], q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(x0) q[0];
cx q[7],... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
93f5686fd39e6a6c4d9331c2d208db96 | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [125, 63], "expectation_value": -15.358689329607651, "params": null, "bitstrings": ["1110000010", "1111000000"], "total_optimization_steps": 100, "probabilities": [0.08156837453707068, 0.3049233686964222], "optimization_time": 262.66140365600586} | -2.5 * (Z(1) @ Z(2)) + -2.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(6)) + -3.0 * (Z(8) @ Z(6)) + -3.0 * (Z(8) @ Z(4)) + -3.0 * (Z(5) @ Z(6)) + 1.0 * (Z(5) @ Z(4)) + -3.0 * (Z(5) @ Z(8)) + 1.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(4)) + -3.0... | 1 | 10 | 1 | {"smallest_eigenvalues": [-33.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.0, "smallest_bitstrings": ["1111000000"]} | 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[2];
ry(-1.5577) q[1];
cry(1.5708) q[9], q[8];
cry(1.57) q[8], q[5];
cry(0.5729) q[5], q[6];
cry(0.167) q[8], q[6];
cry(1.5311) q[8], q[7];
cry(-0.1466) q[8], q[9];
... | null | {"node": 0} | {"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[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... |
e67f3c00e14c8f91eb0d08bc8d200da9 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "ta... | {"states": [225, 209], "expectation_value": -3.2736185812688277, "params": [0.5504, -0.0056, 0.6014, -0.003, 0.6044, 0.0011, 0.6004, -0.0019, -0.0134, -0.29500000000000004, -0.00030000000000000003, -0.2741, 0.3264, -0.16160000000000002, 0.6023000000000001, 0.0095, 0.5508000000000001, -0.0031000000000000003, 0.6075, 0.0... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * Z(4) + -0.5 * Z(0) + 0.0 * Z(6) + 0.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(2) + -1.0 * Z(5) + -0.5 * Z(7) | 4 | 8 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["00101110", "00011110", "10101100", "10011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.5504) q[0];
rz(-0.0056) q[0];
rx(0.6014) q[1];
rz(-0.003) q[1];
rx(0.6044) q[2];
rz(0.0011) q[2];
rx(0.6004) q[3];
rz(-0.0019) q[3];
rx(-0.0134) q[4];
rz(-0.295) q[4];
rx(-0.0003) q[5];
rz(-0.2741) q[5];
rx(0.3264) q[6];
rz(-0.1616) q[6];
rx(0.6023) 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": []} |
6240facbcac03ac60847995c8221b912 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "s... | {"states": [256, 255], "expectation_value": -7.651580693038183, "params": [[[-0.0432, 0.47840000000000005], [0.0066, 0.0323], [0.0027, 0.0022], [0.0, 0.0024000000000000002], [0.0017000000000000001, 0.0021000000000000003], [-0.0005, 0.0022], [0.0034000000000000002, -0.0035], [-0.2523, -1.0763], [-0.07050000000000001, 0.... | -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) ... | 15 | 9 | 4 | {"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;
ry(-0.0432) q[0];
ry(0.0066) q[1];
ry(0.0027) q[2];
ry(0) q[3];
ry(0.0017) q[4];
ry(-0.0005) q[5];
ry(0.0034) q[6];
ry(-0.2523) q[7];
ry(-0.0705) 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[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
9915ff93784d747e82bcd9a73a2399e5 | 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": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [14, 28], "expectation_value": -0.11351921433688153, "params": [[0.0761], [-0.0733]], "bitstrings": ["10001", "00011"], "total_optimization_steps": 10, "probabilities": [0.03437436342560909, 0.03437436342560911], "optimization_time": 0.9681203365325928} | 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(4)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["10001", "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(0.0761) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(0.0761) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.0761) q[4];
cx q[0], q[4];
cx q[4], q[1];
rz(0.0761) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(0.0761) q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[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": []} |
c0497b20d0e680cacc77174a13e8b8b4 | 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": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [84, 85], "expectation_value": -2.8769951962842777, "params": [[[0.0033, 0.2528, 0.0009000000000000001, 0.0011], [0.2657, -0.0099, 0.27040000000000003, 0.0018000000000000002], [-0.016800000000000002, -0.1794, 0.0011, -0.1763], [0.2681, -0.023200000000000002, 0.2669, 0.0039000000000000003], [-0.01910000000000... | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(1) @ Z(5)) + -0.125 * (Z(3) @ Z(1) @ Z(6)) + -0.125 * (Z(1) @ Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(5) @ Z(6)) + 0.12... | 12 | 8 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.375, "smallest_bitstrings": ["10110010", "10101100", "10111000", "11001001", "11001100", "11101000", "10101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.0033) q[0];
rz(0.2528) q[0];
ry(0.2657) q[1];
rz(-0.0099) q[1];
ry(-0.0168) q[2];
rz(-0.1794) q[2];
ry(0.2681) q[3];
rz(-0.0232) q[3];
ry(-0.0191) q[4];
rz(-0.1704) q[4];
ry(0.266) q[5];
rz(-0.0054) q[5];
ry(0.1153) q[6];
rz(0.1554) q[6];
ry(0.3986) 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": []} |
cf37919d6a949ddf46d1ba52baad11a7 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, ... | {"states": [4846, 4862], "expectation_value": -3.8895833793578585, "params": [0.7882, 0.10940000000000001, 0.17450000000000002, 0.2977, 0.2851, -0.2893, 0.7863, 0.0047, 0.004, 0.5711, 0.7867000000000001, -0.0023, 0.7884, 0.004, 0.789, -0.024800000000000003, 0.3992, 0.1004, 0.785, 0.0034000000000000002, 0.78850000000000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (... | 18 | 13 | 4 | {"smallest_eigenvalues": [-4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375], "number_of_smallest_eigenvalues": 19, "first_excited_energy": -3.4375, "smallest_bitstrings": ["1000100001010", "001010001... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.7882) q[0];
rz(0.1094) q[0];
rx(0.1745) q[1];
rz(0.2977) q[1];
rx(0.2851) q[2];
rz(-0.2893) q[2];
rx(0.7863) q[3];
rz(0.0047) q[3];
rx(0.004) q[4];
rz(0.5711) q[4];
rx(0.7867) q[5];
rz(-0.0023) q[5];
rx(0.7884) q[6];
rz(0.004) q[6];
rx(0.789) q[7];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
bcc7c92837c5aa9cb22713cbf630defa | 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": [917, 661], "expectation_value": -98.95811902714466, "params": [0.4395, 0.47350000000000003, 0.1932, 0.1864, 0.4766, 0.466, -0.12390000000000001, 0.020300000000000002, 0.0059, 0.0073, 0.5257000000000001, 0.5292, 0.002, -0.0013000000000000002, 0.5273, 0.5299, 0.0182, 0.0173, 0.4917, 0.48910000000000003, 0.451... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(5) @ Z(1)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(6) @ Z(0)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(9) @ Z(1)) + 7.0 * (Z(9) @ Z(5)) + 7.0 * (Z(9) @ Z(7)) + 6.0 * Z(0) + 16.5 * Z(1) + -2.5 * Z(3) + 5.5 * Z(2) + 23... | 14 | 10 | 3 | {"smallest_eigenvalues": [-105.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -92.0, "smallest_bitstrings": ["0101101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.4395) q[0];
ry(0.1932) q[1];
ry(0.4766) q[2];
ry(-0.1239) q[3];
ry(0.0059) q[4];
ry(0.5257) q[5];
ry(0.002) q[6];
ry(0.5273) q[7];
ry(0.0182) q[8];
ry(0.4917) q[9];
crx(0.1251) q[9], q[0];
crx(0.1724) q[8], q[9];
crx(-0.0073) q[7], q[8];
crx(0.5447) q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
-5464571633819214252 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 2, 3], [0, 1]]} | {"states": [10, 9], "expectation_value": -0.6580632820980631, "params": null, "bitstrings": ["0101", "0110"], "total_optimization_steps": 16, "probabilities": [0.1884678603761806, 0.4229033830896444], "optimization_time": 8.547419548034668} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.16666666666666666 * Z(2) + 0.16666666666666663 * Z(0) + 0.16666666666666666 * Z(3) + 0.0 * Z(1) | 1 | 4 | 1 | {"smallest_eigenvalues": [-0.8333333333333333, -0.8333333333333333, -0.8333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.5, "smallest_bitstrings": ["1000", "0110", "0101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cry(-1.0342) q[0], q[1];
ry(0.971) q[0];
ry(-0.6611) q[1];
cry(0.2827) q[3], q[0];
cry(-0.3385) q[3], q[2];
cry(0.2209) q[2], q[0];
cry(-0.1959) q[3], q[1];
ry(0.2778) q[3];
cry(-0.2892) q[2], q[3];
cry(-0.1162) q[2], q[1];
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[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh... |
f438dd84874324e8039dc4edeb3bf57b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [31, 29], "expectation_value": -0.2603441094747695, "params": [[0.057600000000000005], [-0.050100000000000006]], "bitstrings": ["100000", "100010"], "total_optimization_steps": 10, "probabilities": [0.018024573233204305, 0.018194982714025365], "optimization_time": 1.6050117015838623} | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + 0.0 * Z(2) + -1.5 * Z(5) + 1.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(-0.0864) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.0576) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.0576) q[2];
cx q[4], q[2];
cx q[1], q[2];
rz(-0.2304) q[2];
cx q[1], q[2];
cx q[0], q[5];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
6c4c8df370f6ecf478f9950d001f8aa2 | 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": [430, 428], "expectation_value": -88.9544048842167, "params": [0.6711, -0.324, 1.3953, -0.029900000000000003, 1.3993, 0.014400000000000001, 0.0031000000000000003, 0.8079000000000001, 1.3957000000000002, 0.0043, -0.0032, 0.8989, 1.3937000000000002, 0.0016, 1.3932, -0.1829, 0.7866000000000001, -0.2626, -0.0131... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(0) @ Z(2)) + 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(4) @ Z(1)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(6) @ Z(1)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(8) @ Z(1)) + 6.0 * (Z(8) @ Z(4)) + 6.0 * (Z(8) @ Z(6)) + 6.0 * (Z(7) @ Z(0)) + 6.0 * (Z(7) @ Z(8)) + 6.0 * (Z(9) @ Z(2)) + 12.5 * Z(2) ... | 18 | 10 | 2 | {"smallest_eigenvalues": [-109.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -94.5, "smallest_bitstrings": ["1001010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.6711) q[0];
rz(-0.324) q[0];
rx(1.3953) q[1];
rz(-0.0299) q[1];
rx(1.3993) q[2];
rz(0.0144) q[2];
rx(0.0031) q[3];
rz(0.8079) q[3];
rx(1.3957) q[4];
rz(0.0043) q[4];
rx(-0.0032) q[5];
rz(0.8989) q[5];
rx(1.3937) q[6];
rz(0.0016) q[6];
rx(1.3932) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
f2ba1cba76ebf70dad60d61ddb34ab54 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [12, 114], "expectation_value": -0.5846892953295099, "params": [[0.0383, -0.0066, 0.0489, 0.0766], [-0.054200000000000005, 0.0045000000000000005, -0.0251, -0.0506]], "bitstrings": ["1110011", "0001101"], "total_optimization_steps": 10, "probabilities": [0.010392128614990871, 0.01114515511620166], "optimizati... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.5 * Z(4) + -1.5 * Z(6) + 0.0 * Z(1) + -1.0 * Z(2) + 0.0 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(0.0383) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(0.0383) q[4];
cx q[0], q[4];
cx q[3], q[6];
rz(0.0383) q[6];
cx q[3], q[6];
cx q[0], q[6];
rz(0.0383) q[6];
cx q[0], q[6];
cx q[4], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
66d07e9164e0b6b1f3fd526ba44aa954 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"sour... | {"states": [322, 330], "expectation_value": -5.019302343828739, "params": [0.9062, 0.0018000000000000002, -0.027100000000000003, -0.2975, 0.9052, 0.0034000000000000002, -0.0048000000000000004, -0.4964, -0.046900000000000004, -0.42750000000000005, 0.8993, -0.0031000000000000003, 0.7129000000000001, 0.004, 0.904600000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(1) ... | 4 | 9 | 2 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["010110101", "011100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.9062) q[0];
rz(0.0018) q[0];
rx(-0.0271) q[1];
rz(-0.2975) q[1];
rx(0.9052) q[2];
rz(0.0034) q[2];
rx(-0.0048) q[3];
rz(-0.4964) q[3];
rx(-0.0469) q[4];
rz(-0.4275) q[4];
rx(0.8993) q[5];
rz(-0.0031) q[5];
rx(0.7129) q[6];
rz(0.004) q[6];
rx(0.9046) 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": []} |
-7473405426267967668 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 2, 3, 6, 7, 9, 10], [0, 2, 4, 5, 6, 7, 9, 10, 11], [1, 3, 6, 10, 11], [0, 1, 6, 10, 11], [1, 3, 4, 7, 9], [0, 5, 8, 9, 11], [0, 2, 3, 4, 5, 6, 7, 11], [4, 6, 7, 8, 9, 10, 11], [0, 1, 4, 5, 10, 11], [3, 5, 7, 9, 10], [0, 3, 5, 7, 8, 9], [0, 2, 4, 6, 7,... | {"states": [2795, 2811], "expectation_value": -4.75810523368348, "params": [1.5692000000000002, 1.5662, 0.0332, 0.0393, 1.5668, 1.5704, 0.0135, 0.0123, 1.5535, 1.5822, 1.5698, 1.5657, 1.5738, 1.5722, 0.8762000000000001, 0.8573000000000001, 1.639, 1.5065000000000002, 0.0108, 0.008400000000000001, 1.2881, 1.3132000000000... | 0.16507936507936505 * (Z(0) @ Z(4)) + 0.1607142857142857 * (Z(5) @ Z(4)) + 0.13452380952380952 * (Z(5) @ Z(0)) + 0.21269841269841266 * (Z(8) @ Z(4)) + 0.221031746031746 * (Z(8) @ Z(0)) + 0.1488095238095238 * (Z(8) @ Z(5)) + 0.19841269841269837 * (Z(9) @ Z(4)) + 0.21626984126984122 * (Z(9) @ Z(0)) + 0.27738095238095234 ... | 13 | 12 | 1 | {"smallest_eigenvalues": [-4.82738095238095], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.769444444444442, "smallest_bitstrings": ["010100000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.5692) q[0];
ry(0.0332) q[1];
ry(1.5668) q[2];
ry(0.0135) q[3];
ry(1.5535) q[4];
ry(1.5698) q[5];
ry(1.5738) q[6];
ry(0.8762) q[7];
ry(1.639) q[8];
ry(0.0108) q[9];
ry(1.2881) q[10];
ry(1.5794) q[11];
crz(-0.0032) q[11], q[0];
crz(-0.0026) 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] 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": []} |
a65a8f132e9e11ca587f1073a44b14e3 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "s... | {"states": [17, 1], "expectation_value": -0.4768246998787199, "params": [[0.011600000000000001, 0.0603], [0.0034000000000000002, -0.0456]], "bitstrings": ["111101110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0026246495416823606, 0.0027160743402433636], "optimization_time": 4.596683502197266} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -1.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(6)) + -1.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(7... | 1 | 9 | 2 | {"smallest_eigenvalues": [-15.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.75, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
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(-0.0174) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(-0.0058) q[4];
cx q[0], q[4];
cx q[1], q[6];
rz(-0.029) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(-0.0116) q[6];
cx q[0], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
a8af5a844c6b7264f669c1b8b9005a26 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 8}, {"capacity": 6, "source": 2, "target": 8}, {"capacity": 1, "source": 3, "target": 1}, {"capacity": 2, "s... | {"states": [256, 255], "expectation_value": -9.103414820348183, "params": [[[-0.0066, 0.045000000000000005], [0.0059, 0.0019], [0.0048000000000000004, 0.0023], [0.2632, 0.0018000000000000002], [0.008700000000000001, 0.0019], [0.1374, 0.0024000000000000002], [0.0092, 0.0044], [-0.0386, 0.08900000000000001], [1.908200000... | 0.25 * (Z(0) @ Z(8)) + -1.5 * (Z(2) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.5 * (Z(6) @ Z(4)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(4)) + -0.75 * (Z(7) @ Z(8)) + -1.5 * (Z(7) @ Z(2)) + -2.0 * Z(8) + -0.25 * Z(0) + -0.5 * Z(2) + 0.75 * Z(3) + -3.25 * Z(1) + 1.0 * Z(4) + -0.... | 15 | 9 | 2 | {"smallest_eigenvalues": [-9.75, -9.75, -9.75, -9.75, -9.75, -9.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -8.75, "smallest_bitstrings": ["100000000", "110011100", "110010100", "110000100", "110000000", "100000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0066) q[0];
ry(0.0059) q[1];
ry(0.0048) q[2];
ry(0.2632) q[3];
ry(0.0087) q[4];
ry(0.1374) q[5];
ry(0.0092) q[6];
ry(-0.0386) q[7];
ry(1.9082) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
30ba64f2314d12dd7a4bba52fce6e2f0 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 4, "source": 2, "target": 4}, {"capaci... | {"states": [21, 31], "expectation_value": -5.074334699257932, "params": null, "bitstrings": ["101010", "100000"], "total_optimization_steps": 37, "probabilities": [0.11261830073505118, 0.7491392973575856], "optimization_time": 25.618993043899536} | -0.75 * (Z(0) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -1.75 * (Z(2) @ Z(4)) + -0.75 * (Z(1) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + 1.25 * (Z(5) @ Z(0)) + 0.25 * Z(3) + -0.25 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + 0.75 * Z(1) + 0.25 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.25, "smallest_bitstrings": ["111110", "101110", "100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.5486) q[1];
cry(1.5681) q[4], q[2];
cry(1.2279) q[2], q[4];
cry(1.566) q[2], q[3];
cry(1.5697) q[3], q[5];
ry(-1.5266) q[0];
cry(-0.0676) q[1], q[3];
cry(0.071) q[4], q[3];
cry(-0.0817) q[5], q[3];
ry(0.0264... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5486) 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 \"stdgat... |
-4537073476167521322 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4], [0, 4], [4, 6], [0, 7], [0, 3], [1, 3], [0, 1], [3, 7], [5, 7], [2, 6], [3, 6], [6, 7]]} | {"states": [57, 198], "expectation_value": -0.10113832313659459, "params": [[-0.0639], [0.0674]], "bitstrings": ["11000110", "00111001"], "total_optimization_steps": 10, "probabilities": [0.004458576971406062, 0.004458576971406062], "optimization_time": 1.8936946392059326} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(2) @ Z(6)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["00111001", "11000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[1];
rz(-0.0639) q[1];
cx q[4], q[1];
cx q[4], q[0];
rz(-0.0639) q[0];
cx q[4], q[0];
cx q[1], q[0];
rz(-0.0639) q[0];
cx q[1], q[0];
cx q[4], q[6];
rz(-0.0639) q[6];
cx q[4], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[4]... | null | {"circuits": [], "gradients": []} |
b2c25a19a038d07471a5450910ba4971 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 3}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 3, "target": 1}, {"source": 3, "target": 4}, {"source": 1, "target": 2}]} | {"states": [27883, 27997], "expectation_value": -5.052705410453398, "params": [[0.2893], [-0.2973]], "bitstrings": ["001001100010100", "001001010100010"], "total_optimization_steps": 30, "probabilities": [0.0005446184387218358, 0.000544618438721836], "optimization_time": 144.28648281097412} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.25 * (Z(3) @ Z(9)) + 0.25 * (Z(4) @ Z(10)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(11)) + 0.5 * (Z(5) @ Z(3)) ... | 1 | 15 | 1 | {"smallest_eigenvalues": [-8.74999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.749999999999982, "smallest_bitstrings": ["001001010100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
cx q[1], q[0];
rz(0.2893) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2893) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2893) q[2];
cx q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[15] c;
qubit[15] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
cx q[1], q[0]... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
ad0fe7481f54a4d50469fdf40e39612a | 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": 6, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 6, "source": ... | {"states": [0, 256], "expectation_value": -34.49597774860949, "params": [0.0035, 0.0007, -0.0051, -0.006, -0.004200000000000001, 0.0004, 0.304, 0.3024, 0.0005, -0.0066, -0.002, -0.0023, -0.0057, -0.0036000000000000003, -0.004, -0.0047, 0.0006000000000000001, -0.0044, -0.0038, -0.0056, -0.0006000000000000001, -0.0015, -... | -1.5 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(7) @ Z(0)) + -1.5 * (Z(11) @ Z(1)) + -1.25 * (Z(11) @ Z(0)) + -2.75 * (Z(11) @ Z(6)) + -0.25 * (Z(11) @ Z(7)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(7)) + -1.25 * (Z(5) @ Z(11)) + -2.5 * (Z(5) @ Z(4)) + -1.25 * (Z(8) @ Z(7)) + -1.0 * (Z(8... | 14 | 12 | 3 | {"smallest_eigenvalues": [-38.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -36.25, "smallest_bitstrings": ["111011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0035) q[0];
ry(-0.0051) q[1];
ry(-0.0042) q[2];
ry(0.304) q[3];
ry(0.0005) q[4];
ry(-0.002) q[5];
ry(-0.0057) q[6];
ry(-0.004) q[7];
ry(0.0006) q[8];
ry(-0.0038) q[9];
ry(-0.0006) q[10];
ry(-0.0074) q[11];
crx(0.1407) q[11], q[0];
crx(0.2273) q[10], 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... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
efa25cabc62f138e84552c7d6bca453a | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [91, 87], "expectation_value": -6.756596650769997, "params": [[0.0488], [-0.0587]], "bitstrings": ["10100100", "10101000"], "total_optimization_steps": 10, "probabilities": [0.006884208574553865, 0.007200924004657185], "optimization_time": 1.59568452835083} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 8.0 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + 9.0 * Z(3) + 15.0 * Z(4) + 11.5 * Z(5) + 18.0 * Z(6) + 14.5... | 1 | 8 | 1 | {"smallest_eigenvalues": [-59.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -56.5, "smallest_bitstrings": ["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];
cx q[1], q[0];
rz(0.488) q[0];
cx q[1], q[0];
cx q[2], q[3];
rz(0.488) q[3];
cx q[2], q[3];
cx q[1], q[4];
rz(0.488) q[4];
cx q[1], q[4];
cx q[4], q[5];
rz(0.488) q[5];
cx q[4], q[5];
cx q[3], 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;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
5898983956941172742 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 8, 10], [8, 9, 4], [1, 10], [3, 4], [9, 5, 1], [0, 6], [8, 9, 5], [1, 7], [0, 10, 4], [0, 8, 7], [0, 2, 7], [0, 9], [9, 2, 6], [9, 10], [1, 6], [8, 6], [0, 3], [4, 5, 6], [9, 3], [2, 5], [9, 6, 7], [8, 10, 7], [8, 5, 7], [10, 5], [8, 3], [3, 5, 6], [1, 3]... | {"states": [1365, 1638], "expectation_value": 6.522560269672795e-16, "params": [[0.0016, 0.0004, 0.005, 0.006, 0.0024000000000000002, 0.0067, 0.0076, 0.0089, 0.005200000000000001, 0.0053, 0.0044]], "bitstrings": ["01010101010", "00110011001"], "total_optimization_steps": 10, "probabilities": [0.0004884169472622836, 0.0... | 0.3333333333333333 * (Z(0) @ Z(8)) + 0.3333333333333333 * (Z(10) @ Z(8)) + 0.3333333333333333 * (Z(10) @ Z(0)) + 0.3333333333333333 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(10)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(10)) + 0.166666666... | 9 | 11 | 1 | {"smallest_eigenvalues": [-7.166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.833333333333335, "smallest_bitstrings": ["00110011001"]} | 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(0.0016) q[0];
r... | 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[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4... | null | {"circuits": [], "gradients": []} |
-8059573654421842142 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 5], [2, 6], [1, 3, 6], [0, 1, 2], [0, 3, 6], [3, 4, 5], [1, 2, 5], [2, 4, 5], [5, 6]]} | {"states": [58, 90], "expectation_value": -0.419323017719087, "params": [[-0.1511], [0.165]], "bitstrings": ["1000101", "0100101"], "total_optimization_steps": 20, "probabilities": [0.011299331360350088, 0.011299331360350088], "optimization_time": 0.964975118637085} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.6666666666666674, -2.6666666666666674], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.3333333333333335, "smallest_bitstrings": ["1000101", "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];
cx q[2], q[0];
rz(-0.1007) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(-0.1511) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.0504) q[5];
cx q[0], q[5];
cx q[2], q[6];
rz(-0.1511) q[6];
cx q[2], q[6];
cx q[0], 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;
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[5];
rz(x1) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(... | null | {"circuits": [], "gradients": []} |
6e936c9031f4ef335042a74fa41c3e34 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 3, "target": 2}, {"capacity": 2, "source": 3, "target": 6... | {"states": [29, 35], "expectation_value": -0.3878456695584074, "params": [[-0.043300000000000005, -0.0526, -0.0369], [0.0492, 0.0666, 0.0488]], "bitstrings": ["1100010", "1011100"], "total_optimization_steps": 10, "probabilities": [0.010393673781037472, 0.010479537904000706], "optimization_time": 3.23970365524292} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(2) @ Z(3)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + 0.0 * Z(4) + -0.25 * Z(0) + 0.25 * Z(5) + 0.5 * Z(3) + -0.5 * Z(2) + 0.25 * Z(6) + -0.25 * Z(1) | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.0, "smallest_bitstrings": ["1000000", "1100000", "1010100", "1100010", "1100100", "1010000", "1100110", "1000100", "1110000", "1110010", "... | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(0.0433) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(0.0433) q[5];
cx q[0], q[5];
cx q[4], q[3];
rz(0.0433) q[3];
cx q[4], q[3];
cx q[3], q[2];
rz(0.0433) q[2];
cx q[3], 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] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
4a175d9307d295beb89bea910fa1688b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [159, 151], "expectation_value": -63.55390345521517, "params": [0.49410000000000004, 0.49810000000000004, 0.09870000000000001, 0.0931, 0.1322, 0.1273, 0.4968, 0.4927, 0.1991, 0.2026, 0.4847, 0.4823, 0.46030000000000004, 0.46290000000000003, 0.4615, 0.4605, 0.4937, 0.49520000000000003, 0.09090000000000001, 0.... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * Z(0) + 4.0 * Z(1) + 1.5 * Z(2) + 20.5 * Z(3) + 8.0 * Z(4) + 14.0 * Z(5) ... | 14 | 8 | 3 | {"smallest_eigenvalues": [-76.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["01101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.4941) q[0];
ry(0.0987) q[1];
ry(0.1322) q[2];
ry(0.4968) q[3];
ry(0.1991) q[4];
ry(0.4847) q[5];
ry(0.4603) q[6];
ry(0.4615) q[7];
crx(0.0808) q[7], q[0];
crx(-0.0444) q[6], q[7];
crx(-0.0754) q[5], q[6];
crx(-0.1774) q[4], q[5];
crx(-0.1203) q[3], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11]}"} | {"circuits": [], "gradients": []} |
a38227ca05bb5e1c3110df61e15475e5 | 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": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target... | {"states": [21845, 43605], "expectation_value": -2.0125975041444817, "params": [3.1444, 0.22, 3.915, -0.0016, 3.1443000000000003, -0.2707, 4.1305000000000005, -0.0032, 3.1442, 0.304, 4.2575, 0.0021000000000000003, 3.1441000000000003, 0.2818, 1.8297, 0.0, 3.0087, -0.0027, 2.9543, -0.0008, 3.0241000000000002, 0.002600000... | 0.25 * (Z(0) @ Z(1)) + -0.0011718750000000002 * (Z(2) @ Z(0)) + -0.0011718750000000002 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.000390625 * (Z(4) @ Z(0)) + -0.0011718750000000002 * (Z(4) @ Z(2)) + 0.000390625 * (Z(5) @ Z(1)) + -0.0011718750000000002 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0001953125 * (Z(6) @ Z(0)... | 4 | 16 | 1 | {"smallest_eigenvalues": [-2.0216796874999714], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0216796874999443, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(3.1444) q[0];
rz(0.22) q[0];
rx(3.915) q[1];
rz(-0.0016) q[1];
rx(3.1443) q[2];
rz(-0.2707) q[2];
rx(4.1305) q[3];
rz(-0.0032) q[3];
rx(3.1442) q[4];
rz(0.304) q[4];
rx(4.2575) q[5];
rz(0.0021) q[5];
rx(3.1441) q[6];
rz(0.2818) q[6];
rx(1.8297) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
bf6da4ba12bc35dd69340a822c024e8c | 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": [1449, 1321], "expectation_value": -128.3411137957301, "params": [1.071, -0.0134, 0.0935, 0.16010000000000002, 1.0631000000000002, -0.0154, 0.4751, -0.48960000000000004, 0.11170000000000001, -0.0013000000000000002, 1.062, 0.06960000000000001, 0.1665, 0.007500000000000001, 1.0644, 0.0031000000000000003, -0.63... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(0) @ Z(2)) + 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(4) @ Z(0)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(7) @ Z(3)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(10) @ Z(2)) + 7.5 * (Z(10) @ Z(3)) + 7.5 * (Z(10) @ Z(7)) + 31.5 * Z(2) + 4.5 * Z(1) + 14.5... | 4 | 11 | 3 | {"smallest_eigenvalues": [-139.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -131.5, "smallest_bitstrings": ["01011010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.071) q[0];
rz(-0.0134) q[0];
rx(0.0935) q[1];
rz(0.1601) q[1];
rx(1.0631) q[2];
rz(-0.0154) q[2];
rx(0.4751) q[3];
rz(-0.4896) q[3];
rx(0.1117) q[4];
rz(-0.0013) q[4];
rx(1.062) q[5];
rz(0.0696) q[5];
rx(0.1665) q[6];
rz(0.0075) q[6];
rx(1.0644) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
56e1adf8b542035858076c6ee6d1eecb | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [1094, 1095], "expectation_value": -99.81488705561009, "params": [[1.4395, 0.0229, 0.0025, -0.1153, 1.1065, 0.0027, -0.0183, 0.0028, 1.3857000000000002, 1.5118, 0.2104], [0.751, 0.11850000000000001, 0.0026000000000000003, 0.12440000000000001, 1.1029, 0.0034000000000000002, -0.0211, 0.003, -0.064, 0.065700000... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(6) @ Z(0)) + 8.0 * (Z(9) @ Z(0)) + 8.0 * (Z(9) @ Z(6)) + 8.0 * (Z(8) @ Z(3)) + 8.0 * (Z(8) @ Z(9)) + 8.0 * (Z(10) @ Z(1)) + 3.5 * Z(1) + 16.0 * Z(0) + 5.5 * Z(4) + 2.0 * Z(3) + -6.0 * Z(5) + 1.5 * Z(6) + 16.0 * Z(9) + 6.0 * Z(8) + 0.5 * Z(10) + ... | 10 | 11 | 2 | {"smallest_eigenvalues": [-108.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -100.0, "smallest_bitstrings": ["01110111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.4395) q[0];
ry(0.0229) q[1];
ry(0.0025) q[2];
ry(-0.1153) q[3];
ry(1.1065) q[4];
ry(0.0027) q[5];
ry(-0.0183) q[6];
ry(0.0028) q[7];
ry(1.3857) q[8];
ry(1.5118) q[9];
ry(0.2104) q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
ea6f28b1d52734982303edc3e4a649bb | 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": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, ... | {"states": [224, 228], "expectation_value": -3.1952996991530522, "params": [1.5886, 1.5571000000000002, 2.1663, 0.9836, 2.1788000000000003, 0.9602, -0.0161, -0.0171, 0.0021000000000000003, 0.0021000000000000003, 0.8570000000000001, 0.864, -0.0009000000000000001, 0.0058000000000000005, 0.0026000000000000003, 0.002600000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 13 | 8 | 1 | {"smallest_eigenvalues": [-3.625, -3.625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.625, "smallest_bitstrings": ["00011011", "10000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(1.5886) q[0];
ry(2.1663) q[1];
ry(2.1788) q[2];
ry(-0.0161) q[3];
ry(0.0021) q[4];
ry(0.857) q[5];
ry(-0.0009) q[6];
ry(0.0026) q[7];
crz(1.5201) q[7], q[0];
crz(0.1178) q[6], q[7];
crz(0.0022) q[5], q[6];
crz(-1.3139) q[4], q[5];
crz(1.3258) 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": []} |
3bcfe4648282d1b3b76d6f42e87e5c5d | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [109, 115], "expectation_value": -2.838724855327932, "params": null, "bitstrings": ["10010010", "10001100"], "total_optimization_steps": 52, "probabilities": [0.08383982851123065, 0.6270265834518883], "optimization_time": 122.97703289985657} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(3) @ Z(5)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(6) @ Z(1)) + 0.0625 * (Z(7) @ Z(1)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-3.3125, -3.3125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.3125, "smallest_bitstrings": ["10010010", "10001100"]} | 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[0];
ry(1.3806) q[2];
cry(-1.3016) q[6], q[5];
ry(1.2971) q[1];
cry(-1.2962) q[3], q[4];
ry(1.0184) q[7];
cry(-0.4703) q[3], q[5];
cry(0.8318) q[3], q[6];
cry(-0.4248) q[6], q[4];
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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
7248792757770052003 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 3, 5, 6], [0, 3, 4, 6], [1, 3, 4, 5], [0, 2, 3, 5, 6, 7], [2, 4, 7], [0, 3, 4, 5, 7], [0, 2, 4, 5, 6], [1, 4, 7]]} | {"states": [159, 31], "expectation_value": -1.5833712926579613, "params": [1.2202, -0.1874, 0.8329000000000001, 0.0019, 0.7549, -0.1452, 0.613, 0.0, 0.7796000000000001, -0.155, 0.7082, 0.0009000000000000001, 1.3849, 0.062400000000000004, 1.1218000000000001, 0.009600000000000001, 1.3877000000000002, 0.0582, 1.3885, 0.00... | 0.03333333333333333 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.11666666666666667 * (Z(2) @ Z(0)) + 0.11666666666666667 * (Z(3) @ Z(1)) + 0.2 * (Z(3) @ Z(0)) + 0.06666666666666667 * (Z(3) @ Z(2)) + 0.11666666666666667 * (Z(5) @ Z(1)) + 0.16666666666666669 * (Z(5) @ Z(0)) + 0.11666666666666667 * (Z(5) @ Z(... | 6 | 8 | 1 | {"smallest_eigenvalues": [-1.866666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8666666666666663, "smallest_bitstrings": ["11100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.2202) q[0];
rz(-0.1874) q[0];
rx(0.7549) q[1];
rz(-0.1452) q[1];
rx(0.7796) q[2];
rz(-0.155) q[2];
rx(1.3849) q[3];
rz(0.0624) q[3];
rx(1.3877) q[4];
rz(0.0582) q[4];
rx(1.3927) q[5];
rz(0.0682) q[5];
rx(1.3949) q[6];
rz(0.08) q[6];
rx(1.3889) 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": []} |
62ca4fdc3f835f51dee1780376d2bf19 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 2}, {"weight": 11, "source": 0, "target": 5}, {"weight": 1... | {"states": [214, 122], "expectation_value": -16.298883285350303, "params": [[0.025, -0.0627], [-0.0504, 0.0596]], "bitstrings": ["00101001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.00846103713424612, 0.00993383958928606], "optimization_time": 3.944317102432251} | 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(4) @ Z(0)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.175) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.175) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.175) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.175) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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... | {"matching": "maximum", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
637debe169b0146f0865e4dcdbbf5c98 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"sour... | {"states": [250, 234], "expectation_value": -5.390980122404016, "params": [[[-0.0029000000000000002, 0.2635], [0.5029, -0.0035], [0.46680000000000005, 0.0031000000000000003], [0.5015000000000001, -0.0024000000000000002], [0.33680000000000004, 0.049100000000000005], [0.5024000000000001, 0.0015], [0.001, 0.2156], [0.5085... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(7) @ Z(8)) + -0.5 * Z(1) + -2.0 * Z(0) + -1.0 *... | 1 | 9 | 4 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["101000101", "100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0029) q[0];
rz(0.2635) q[0];
rx(0.5029) q[1];
rz(-0.0035) q[1];
rx(0.4668) q[2];
rz(0.0031) q[2];
rx(0.5015) q[3];
rz(-0.0024) q[3];
rx(0.3368) q[4];
rz(0.0491) q[4];
rx(0.5024) q[5];
rz(0.0015) q[5];
rx(0.001) q[6];
rz(0.2156) q[6];
rx(0.5085) 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": []} |
6be29fcf64186db29d8d06f08ec325c6 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [206, 198], "expectation_value": -2.244619142206576, "params": [2.2048, 0.0023, 2.2051000000000003, 0.0097, 0.0024000000000000002, 0.0061, 0.40240000000000004, 0.0071, 1.5664, 0.0032, 2.2015000000000002, 0.008700000000000001, 2.2045, 0.0098, -0.019100000000000002, 0.0031000000000000003, 0.0041, 0.00960000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1) @ Z(6)) ... | 16 | 8 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.25, "smallest_bitstrings": ["10100110", "00110110", "00110011", "01110001", "00111001", "10101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(2.2048) q[0];
rz(0.0023) q[0];
rx(2.2051) q[1];
rz(0.0097) q[1];
rx(0.0024) q[2];
rz(0.0061) q[2];
rx(0.4024) q[3];
rz(0.0071) q[3];
rx(1.5664) q[4];
rz(0.0032) q[4];
rx(2.2015) q[5];
rz(0.0087) q[5];
rx(2.2045) q[6];
rz(0.0098) q[6];
rx(-0.0191) 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": []} |
1c80f3c75b1022b250456b9adb4d4588 | 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": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "... | {"states": [767, 1023], "expectation_value": -14.366750847447678, "params": [0.1179, 2.484, 0.08950000000000001, 0.007, 0.0012000000000000001, 2.3093, 0.002, 0.0034000000000000002, 0.638, 2.5202, 0.1617, 0.01, 1.0077, 2.3673, 0.7705000000000001, 0.0012000000000000001, -1.0215, 0.9565, 0.21450000000000002, 0.00450000000... | -1.5 * (Z(1) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -2.0 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(9)) + -2.0 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + -2.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(7)) + 0... | 6 | 12 | 1 | {"smallest_eigenvalues": [-20.5, -20.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -19.5, "smallest_bitstrings": ["000000000000", "110000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.1179) q[0];
rz(2.484) q[0];
rx(0.0012) q[1];
rz(2.3093) q[1];
rx(0.638) q[2];
rz(2.5202) q[2];
rx(1.0077) q[3];
rz(2.3673) q[3];
rx(-1.0215) q[4];
rz(0.9565) q[4];
rx(-1.0315) q[5];
rz(0.729) q[5];
rx(-1.0263) q[6];
rz(0.5731) q[6];
rx(-1.0208) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 0} | {"circuits": [], "gradients": []} |
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