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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
9c58c5b77a3170e613a26f379fffeef6 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 2}, {"weight": 18, "source": 0, "target": 5}, {"weight": 2... | {"states": [119, 118], "expectation_value": -22.600945599093905, "params": [[-0.0354, 0.0081], [0.0777, 0.0713]], "bitstrings": ["10001000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.010248901880852512, 0.01292696436676827], "optimization_time": 3.884526252746582} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.2478) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2478) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2478) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2478) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
72a8e59921ddbedcfbeaac73650c2f92 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [208, 209], "expectation_value": -5.0783519608744365, "params": [[[0.4068, -0.0023], [0.4051, -0.0019], [-0.006500000000000001, 0.196], [0.3982, -0.0007], [-0.0151, -0.2], [-0.0078000000000000005, -0.19390000000000002], [-0.0123, 0.1993], [0.3961, 0.0024000000000000002]], [[0.4002, -0.0022], [0.4102, -0.0019... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + -2.0 * Z(4) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["00101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4068) q[0];
rz(-0.0023) q[0];
rx(0.4051) q[1];
rz(-0.0019) q[1];
rx(-0.0065) q[2];
rz(0.196) q[2];
rx(0.3982) q[3];
rz(-0.0007) q[3];
rx(-0.0151) q[4];
rz(-0.2) q[4];
rx(-0.0078) q[5];
rz(-0.1939) q[5];
rx(-0.0123) q[6];
rz(0.1993) q[6];
rx(0.3961) 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": []} |
8179620907328336256 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 7], [0, 7], [0, 4, 6], [0, 8], [5, 6], [4, 5], [8, 3], [2, 6]]} | {"states": [488, 23], "expectation_value": -0.03767329879224527, "params": [[-0.045200000000000004], [0.056100000000000004]], "bitstrings": ["000010111", "111101000"], "total_optimization_steps": 10, "probabilities": [0.002097203438504276, 0.0021042820779208497], "optimization_time": 2.2711565494537354} | 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(2) @ Z(6)) + 0.0 * Z(7) + 0.0 * Z(1) + 0.16666666666666674 * Z(0)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.500000000000001, "smallest_bitstrings": ["111101000"]} | 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[7], q[1];
rz(-0.0452) q[1];
cx q[7], q[1];
cx q[7], q[0];
rz(-0.0452) q[0];
cx q[7], q[0];
cx q[0], q[4];
rz(-0.0151) q[4];
cx q[0], q[4];
cx q[0], q[6];
rz(-0.0151) q[6];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[7], q[1];
rz(x0) q[1];
cx q[7], q[1];
cx q[7], q[0];
rz(x0) q[0];
cx q[7], q[0];
cx q[0], q[4];
rz(x1) ... | null | {"circuits": [], "gradients": []} |
833c89e8aca800e5707fb47ea63f9088 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [43, 46], "expectation_value": -3.499883694175416, "params": null, "bitstrings": ["010100", "010001"], "total_optimization_steps": 23, "probabilities": [1.6349291399876233e-05, 0.9999151802438232], "optimization_time": 16.1010582447052} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["010001"]} | 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[1];
ry(-1.4449) q[5];
ry(1.4449) q[4];
ry(1.4449) q[0];
ry(1.4417) q[2];
ry(1.4417) q[3];
cry(-0.1259) q[3], q[5];
cry(0.1217) q[0], q[2];
cry(0.1216) q[2], q[3];
cry(0.1188) q[2], q[4];
cry(0.1186)... | 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[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... |
44e8495c1eeae4e26ce46cf2532bece4 | 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": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 7, "source": 0, "target": 6... | {"states": [33, 41], "expectation_value": -5.737422090659728, "params": [[0.0771, 0.07440000000000001], [-0.0824, -0.0779]], "bitstrings": ["1011110", "1010110"], "total_optimization_steps": 10, "probabilities": [0.02438555710842763, 0.02701843693156493], "optimization_time": 2.962897539138794} | -1.25 * (Z(0) @ Z(2)) + -1.75 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -1.75 * (Z(4) @ Z(2)) + -1.75 * (Z(4) @ Z(0)) + 4.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 3.0 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-23.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["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[2], q[0];
rz(-0.1928) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.2699) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.1542) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(-0.2699) q[4];
cx q[2], q[4];
cx q[0], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
953796ca4b6137c6c134989cdf6bb9e5 | 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": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 6, "source": 2, ... | {"states": [128, 1], "expectation_value": -2.3210151631191476, "params": [[0.0752, 0.0711], [-0.0813, -0.0627]], "bitstrings": ["01111111", "11111110"], "total_optimization_steps": 10, "probabilities": [0.009292167596914145, 0.012009889193890264], "optimization_time": 3.103825330734253} | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + -1.0 * (Z(1) @ Z(2)) + -2.0 * (Z(4) @ Z(6)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(2)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * Z(3) + -0.25 * Z(0) + -1.0 * Z(6) + 2.5 * Z(2) + -1.0 * Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(-0.1504) q[0];
cx q[3], q[0];
cx q[0], q[6];
rz(-0.1128) q[6];
cx q[0], q[6];
cx q[3], q[2];
rz(-0.2256) q[2];
cx q[3], q[2];
cx q[2], q[1];
rz(-0.1504) q[1];
cx q[2], q[1];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
8659958707648319733 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[4, 7], [9, 4], [0, 9, 5], [4, 5], [0, 1], [8, 3, 6, 7], [0, 9, 6], [8, 9, 2, 3], [0, 8, 2, 5], [0, 4], [1, 2, 5], [0, 3, 5, 6], [1, 2, 3, 6], [8, 1, 9, 7], [3, 4], [0, 7], [1, 4, 6]]} | {"states": [863, 351], "expectation_value": -2.1997554703922533, "params": [1.084, 0.2607, 0.9695, 0.0029000000000000002, 1.0939, -0.0558, 1.0946, 0.009000000000000001, 1.093, -0.1443, 1.0853000000000002, 0.0061, 1.0999, 0.1658, 1.0951, 0.0083, 0.5747, 0.312, 0.5703, 0.0063, 1.1009, 0.07150000000000001, 1.0979, 0.003, ... | 0.5 * (Z(4) @ Z(7)) + 0.08333333333333333 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(4)) + 0.3333333333333333 * (Z(0) @ Z(9)) + 0.5 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(9)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(7)) + 0.16666666666666666 * ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-4.749999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.749999999999998, "smallest_bitstrings": ["1010100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.084) q[0];
rz(0.2607) q[0];
rx(1.0939) q[1];
rz(-0.0558) q[1];
rx(1.093) q[2];
rz(-0.1443) q[2];
rx(1.0999) q[3];
rz(0.1658) q[3];
rx(0.5747) q[4];
rz(0.312) q[4];
rx(1.1009) q[5];
rz(0.0715) q[5];
rx(1.0917) q[6];
rz(0.212) q[6];
rx(1.0935) 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": []} |
eb1b2cac0566087578078445a8bfe431 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 3, "target": 7}, {"sour... | {"states": [0, 224], "expectation_value": -23.0249228131214, "params": [-1.7319, 0.0023, 0.6688000000000001, 0.0015, -1.1148, -0.0017000000000000001, 0.319, 0.0038, -1.0248000000000002, -0.0025, 1.5659, 0.0027, 0.0024000000000000002, 1.4538, 0.0028, 0.0055000000000000005, 0.0022, 1.3366, 0.0026000000000000003, 0.0025, ... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(3)) + 1.0 * (Z(7) @ Z(5)) + -3.0 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * (Z(4) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0... | 6 | 8 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["00011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-1.7319) q[0];
rz(0.0023) q[0];
rx(-1.1148) q[1];
rz(-0.0017) q[1];
rx(-1.0248) q[2];
rz(-0.0025) q[2];
rx(0.0024) q[3];
rz(1.4538) q[3];
rx(0.0022) q[4];
rz(1.3366) q[4];
rx(0.0021) q[5];
rz(1.3681) q[5];
rx(0.0021) q[6];
rz(1.3678) q[6];
rx(0.0021) 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": 6} | {"circuits": [], "gradients": []} |
8519966187527921575 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[3, 5], [8, 9, 10, 3], [8, 10, 11, 5], [3, 4], [8, 2, 11], [1, 11, 4], [8, 7], [8, 1, 5, 9], [1, 7], [1, 2], [2, 5, 7], [1, 6], [0, 5, 7], [6, 7], [9, 11, 1], [8, 4], [9, 2, 4, 7], [8, 0, 10, 11], [8, 10, 2], [2, 4, 6], [2, 3], [9, 3, 6], [2, 5, 6], [8, 1... | {"states": [2775, 727], "expectation_value": -6.7564182969948465, "params": [0.7691, -0.7625000000000001, 0.7496, 0.003, 0.22790000000000002, 0.7997000000000001, 0.18730000000000002, 0.8087000000000001, 1.5771000000000002, 0.0013000000000000002, 1.5854000000000001, 0.0, 0.051500000000000004, 0.6647000000000001, 0.0132,... | 0.5 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.08333333333333333 * (Z(8) @ Z(3)) + 0.16666666666666666 * (Z(9) @ Z(5)) + 0.25 * (Z(9) @ Z(3)) + 0.16666666666666666 * (Z(9) @ Z(8)) + 0.08333333333333333 * (Z(10) @ Z(5)) + 0.08333333333333333 * (Z(10) @ Z(3)) + 0.49999999999999994 * (Z(10) @ Z(8)) + 0.0833... | 8 | 12 | 1 | {"smallest_eigenvalues": [-7.499999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.166666666666667, "smallest_bitstrings": ["110100101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.7691) q[0];
rz(-0.7625) q[0];
rx(0.2279) q[1];
rz(0.7997) q[1];
rx(1.5771) q[2];
rz(0.0013) q[2];
rx(0.0515) q[3];
rz(0.6647) q[3];
rx(1.3977) q[4];
rz(-0.0023) q[4];
rx(1.5876) q[5];
rz(-0.0027) q[5];
rx(0.6546) q[6];
rz(-0.0652) q[6];
rx(1.5366) 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": []} |
9aafe0580999b1b0b4b8e8eda0d2bc18 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": ... | {"states": [5, 33], "expectation_value": -2.910603879608093, "params": null, "bitstrings": ["111010", "011110"], "total_optimization_steps": 20, "probabilities": [0.06070092546581366, 0.7871871279988792], "optimization_time": 16.20103168487549} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(2) + 0.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.0, "smallest_bitstrings": ["011110", "111100", "111010", "010111", "110101", "101110", "110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
ry(-1.4449) q[4];
cry(-1.0398) q[0], q[3];
cry(-1.0342) q[5], q[2];
ry(0.7003) q[5];
ry(0.6944) q[0];
ry(-0.4549) q[2];
ry(-0.451) q[3];
cry(0.4573) q[0], q[5];
cry(0.4514) q[5], q[0];
cry(-0.35... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [50, 35], "expectation_value": -4.499937482234167, "params": null, "bitstrings": ["001101", "011100"], "total_optimization_steps": 24, "probabilities": [1.6356494445438173e-05, 0.9999687417661177], "optimization_time": 18.71623969078064} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[2];
ry(-1.5681) q[3];
ry(-1.4449) q[1];
ry(1.4449) q[4];
ry(1.4417) q[5];
ry(1.4417) q[0];
cry(-0.1259) q[5], q[1];
cry(0.1217) q[4], q[0];
cry(0.1216) q[0], q[5];
cry(0.1186) q[5], q[4];
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(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
3a47978bfb976fd6248810daacdb4903 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [596, 594], "expectation_value": -2.35835935084949, "params": [[0.0656, 0.057800000000000004, 0.054200000000000005, 0.054400000000000004], [-0.0758, -0.06380000000000001, -0.054200000000000005, -0.0465]], "bitstrings": ["0110101011", "0110101101"], "total_optimization_steps": 10, "probabilities": [0.00259651... | -0.5 * (Z(9) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(4)) + 1.0 * (Z(8) @ Z(7)) + -0.... | 1 | 10 | 4 | {"smallest_eigenvalues": [-6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666, -6.666666666666666], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.0, "smallest_bitstrings": ["0111001101", "0111001011", "0110101101", "0110101011", "0110010001", "0110000000"... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[3], q[9];
rz(-0.0656) q[9];
cx q[3], q[9];
cx q[3], q[4];
rz(0.1312) q[4];
cx q[3], q[4];
cx q[9], q[4];
rz(-0.0656) q[4];
cx q[9], q[4];
cx q[3], q[5];
rz(0.0656) q[5];
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": 5} | {"circuits": [], "gradients": []} |
082b6c86bc8d553008a81e548bf0a65e | 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": 2}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [510, 63], "expectation_value": -5.368681138552825, "params": [[0.0703, 0.07930000000000001, 0.0727], [-0.0596, -0.077, -0.07250000000000001]], "bitstrings": ["000000001", "111000000"], "total_optimization_steps": 10, "probabilities": [0.008442147795090157, 0.009118086491427809], "optimization_time": 5.92930... | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + -1.25 * (Z(7) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(7)) + -1.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -1.5 * (Z(3) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(3)) + 2.25 * (Z(8) @ Z(0)) + -1.75 * (Z(8... | 1 | 9 | 3 | {"smallest_eigenvalues": [-13.5, -13.5, -13.5, -13.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -12.5, "smallest_bitstrings": ["111111100", "111001000", "111000000", "111011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.1055) q[0];
cx q[2], q[0];
cx q[2], q[7];
rz(-0.0352) q[7];
cx q[2], q[7];
cx q[0], q[7];
rz(-0.1758) q[7];
cx q[0], q[7];
cx q[2], q[1];
rz(-0.2812) q[1];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
4375214014246057751 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 3], [0, 2, 5, 7, 8], [1, 3, 4, 5, 7], [1, 6]]} | {"states": [374, 380], "expectation_value": -0.029976413636360357, "params": [[-0.07830000000000001], [0.0779]], "bitstrings": ["010001001", "010000011"], "total_optimization_steps": 10, "probabilities": [0.0020774757891642327, 0.0020774757891642336], "optimization_time": 0.8355765342712402} | 0.5 * (Z(8) @ Z(3)) + 0.05 * (Z(0) @ Z(8)) + 0.05 * (Z(2) @ Z(8)) + 0.05 * (Z(2) @ Z(0)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(8)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(2)) + 0.05 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(8)) + 0.05 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(2)) + 0.1 * (Z(7) @ Z(5)) + 0.05 * (Z(1) @ Z(3)) + ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.4000000000000004, -1.4000000000000004, -1.4000000000000004, -1.4000000000000004, -1.4000000000000004, -1.4000000000000004, -1.4000000000000004, -1.4000000000000004, -1.4000000000000004, -1.4000000000000004, -1.4000000000000004, -1.4000000000000004], "number_of_smallest_eigenvalues": 12, "fi... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[8];
rz(-0.0783) q[8];
cx q[3], q[8];
cx q[8], q[0];
rz(-0.0078) q[0];
cx q[8], q[0];
cx q[8], q[2];
rz(-0.0078) q[2];
cx q[8], q[2];
cx q[0], q[2];
rz(-0.0078) q[2];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[8];
rz(x0) q[8];
cx q[3], q[8];
cx q[8], q[0];
rz(x1) q[0... | null | {"circuits": [], "gradients": []} |
-7368056999618555872 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[3, 5, 6, 7, 8, 9], [1, 3, 5, 6, 8], [8, 1, 3, 7], [8, 0, 6], [0, 1, 2, 7, 9], [0, 1, 4, 7], [0, 1, 5, 6, 7], [1, 3, 9], [2, 3]]} | {"states": [599, 431], "expectation_value": -2.412431171589689, "params": [[[3.1390000000000002, 0.0068000000000000005], [-0.0027, 0.0076], [3.1390000000000002, 0.0015], [3.1398, 0.0011], [3.1435, 0.007], [3.1393, 0.001], [1.5002, 0.0077], [0.0019, 0.0067], [0.0028, 0.0064], [3.1394, 0.0048000000000000004]]], "bitstrin... | 0.08333333333333334 * (Z(3) @ Z(5)) + 0.13333333333333336 * (Z(6) @ Z(5)) + 0.08333333333333334 * (Z(6) @ Z(3)) + 0.08333333333333334 * (Z(7) @ Z(5)) + 0.11666666666666667 * (Z(7) @ Z(3)) + 0.08333333333333334 * (Z(7) @ Z(6)) + 0.08333333333333334 * (Z(8) @ Z(5)) + 0.16666666666666669 * (Z(8) @ Z(3)) + 0.25 * (Z(8) @ Z... | 2 | 10 | 1 | {"smallest_eigenvalues": [-2.466666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.433333333333334, "smallest_bitstrings": ["1001010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(3.139) q[0];
rz(0.0068) q[0];
rx(-0.0027) q[1];
rz(0.0076) q[1];
rx(3.139) q[2];
rz(0.0015) q[2];
rx(3.1398) q[3];
rz(0.0011) q[3];
rx(3.1435) q[4];
rz(0.007) q[4];
rx(3.1393) q[5];
rz(0.001) q[5];
rx(1.5002) q[6];
rz(0.0077) q[6];
rx(0.0019) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
17639781641b88f9ffa836608d3b637d | matching | 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": 15, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 5}, {"weight": 13, "source": 1, "target": 2}, {... | {"states": [252, 124], "expectation_value": -73.52417066125211, "params": [0.5436, -0.2701, 1.0667, 0.0033, 1.0693000000000001, -0.0016, 1.0689, 0.0018000000000000002, 1.0643, 0.0035, 1.0791, -0.1233, 0.2822, -0.3048, 0.0067, 0.3769, 0.5386000000000001, -0.2669, 1.0707, 0.0193, 1.0673000000000001, -0.002100000000000000... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(0)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(3) @ Z(5)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.0, "smallest_bitstrings": ["10000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.5436) q[0];
rz(-0.2701) q[0];
rx(1.0667) q[1];
rz(0.0033) q[1];
rx(1.0693) q[2];
rz(-0.0016) q[2];
rx(1.0689) q[3];
rz(0.0018) q[3];
rx(1.0643) q[4];
rz(0.0035) q[4];
rx(1.0791) q[5];
rz(-0.1233) q[5];
rx(0.2822) q[6];
rz(-0.3048) q[6];
rx(0.0067) 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": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
75e38f85452ebc08ee898a0ac8b18be5 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target"... | {"states": [0, 5], "expectation_value": -3.999905744134601, "params": null, "bitstrings": ["11111", "11010"], "total_optimization_steps": 15, "probabilities": [1.726280242127105e-05, 0.9999394822330047], "optimization_time": 10.739904642105103} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(3) + -1.0 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["11010"]} | 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[0];
ry(-1.5681) q[1];
ry(-1.4449) q[3];
ry(1.4417) q[4];
ry(1.4417) q[2];
cry(-0.1259) q[4], q[3];
cry(0.1217) q[4], q[2];
cry(0.1214) q[2], q[4];
cry(-0.0027) q[4], q[1];
c[0] = measure q[0];
c[1] = measur... | 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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
adf81339cf0258c38a303d18144c9f77 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [467, 211], "expectation_value": -58.338634830671744, "params": [1.5228000000000002, 0.0007, 2.9932000000000003, 0.0022, 2.9934000000000003, 0.0013000000000000002, 1.3775000000000002, 0.0012000000000000001, 3.0002, 0.0097, 0.0021000000000000003, 0.0041, 0.9549000000000001, 0.0064, 2.9974000000000003, 0.0099,... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(2) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(7) @ Z(0)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(8) @ Z(0)) + 6.0 * (Z(8) @ Z(7)) + 8.0 * Z(1) + 11.0 * Z(0) + 10.5 * Z(3) + 14.5 * Z(4) + 11.5 * Z(2) + -4.5 * Z(... | 18 | 9 | 1 | {"smallest_eigenvalues": [-75.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["100101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.5228) q[0];
rz(0.0007) q[0];
rx(2.9932) q[1];
rz(0.0022) q[1];
rx(2.9934) q[2];
rz(0.0013) q[2];
rx(1.3775) q[3];
rz(0.0012) q[3];
rx(3.0002) q[4];
rz(0.0097) q[4];
rx(0.0021) q[5];
rz(0.0041) q[5];
rx(0.9549) q[6];
rz(0.0064) q[6];
rx(2.9974) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
c57625ce2de67c1086ad1c24582707c2 | 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": 2}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [21, 5], "expectation_value": -4.249622881933726, "params": null, "bitstrings": ["101010", "111010"], "total_optimization_steps": 14, "probabilities": [0.24998087632969399, 0.24998460488181462], "optimization_time": 7.441190719604492} | -0.75 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * Z(2) + -0.25 * Z(0) + 0.5 * Z(1) + -0.75 * Z(4) + 0.75 * Z(5) + 0.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.25, "smallest_bitstrings": ["111110", "101010", "111010", "101110"]} | 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[5];
ry(-1.5706) q[0];
ry(-1.5706) q[2];
cry(-1.5681) q[5], q[4];
cry(0.0156) q[3], q[5];
cry(0.0079) q[1], q[5];
ry(-0.0028) q[4];
cry(-0.0002) q[5], q[0];
cry(-0.0002) q[5], q[2];
c[0] = measure q[0... | 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[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
52d445418826abb1edfe2507a27ebafb | matching | qaoa | {"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": [174, 110], "expectation_value": -6.350582597274785, "params": [[-0.0439], [0.0528]], "bitstrings": ["01010001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.006229970849818754, 0.006705750323319254], "optimization_time": 1.7377903461456299} | 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 | 1 | {"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];
cx q[1], q[0];
rz(-0.3512) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.3512) q[2];
cx q[0], q[2];
cx q[2], q[4];
rz(-0.3512) q[4];
cx q[2], q[4];
cx q[4], q[3];
rz(-0.3512) q[3];
cx q[4], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
596dc591e846e98017ad5da8b3c9d903 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [49, 51], "expectation_value": -2.993491954941213, "params": [[[0.5563, 0.008700000000000001], [1.6078000000000001, 0.0092], [1.6078000000000001, 0.0092], [0.0029000000000000002, 0.0097], [-0.0039000000000000003, 0.0004], [1.6016000000000001, 0.0039000000000000003], [1.614, 0.003]]], "bitstrings": ["1001110"... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(5) + -1.5 * Z(3) + -0.5 * Z(1) + -1.5 * Z(4) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.5563) q[0];
rz(0.0087) q[0];
rx(1.6078) q[1];
rz(0.0092) q[1];
rx(1.6078) q[2];
rz(0.0092) q[2];
rx(0.0029) q[3];
rz(0.0097) q[3];
rx(-0.0039) q[4];
rz(0.0004) q[4];
rx(1.6016) q[5];
rz(0.0039) q[5];
rx(1.614) q[6];
rz(0.003) q[6];
c[0] = measure q[0];
c[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} |
d553277f50a2caebf7d64bfa2366fbf1 | 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": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4... | {"states": [0, 1], "expectation_value": -8.475354855368396, "params": [-0.0002, 0.1516, 0.0, 0.3996, 0.0007, -0.4445, 0.00030000000000000003, 0.45, 0.0027, 0.4559, 0.0021000000000000003, 0.3895, 0.6009, 0.006900000000000001, 0.0054, 0.2793, 0.0074, 0.4511, 0.0023, 0.45070000000000005, 0.007200000000000001, 0.4289, 0.00... | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(5)) + 0.5 * Z(3) + -0.25 * Z(0) + -2.25 * Z(4) + 2.0 * Z(1) + -1.5 *... | 3 | 7 | 3 | {"smallest_eigenvalues": [-10.0, -10.0, -10.0, -10.0, -10.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -7.0, "smallest_bitstrings": ["1000100", "1010100", "1111100", "1111110", "1011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0002) q[0];
rz(0.1516) q[0];
rx(0) q[1];
rz(0.3996) q[1];
rx(0.0007) q[2];
rz(-0.4445) q[2];
rx(0.0003) q[3];
rz(0.45) q[3];
rx(0.0027) q[4];
rz(0.4559) q[4];
rx(0.0021) q[5];
rz(0.3895) q[5];
rx(0.6009) q[6];
rz(0.0069) q[6];
crz(0.0052) 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] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
9079452690261205850 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 5], [2, 5, 6], [0, 3], [4, 6]]} | {"states": [57, 113], "expectation_value": -0.5187885099573273, "params": [[-0.32030000000000003], [0.3106]], "bitstrings": ["1000110", "0001110"], "total_optimization_steps": 40, "probabilities": [0.019428099305886303, 0.019428099305886303], "optimization_time": 0.9761404991149902} | 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.16666666666666663 * Z(5) + 0.0 * Z(1) + 0.16666666666666666 * Z(2) + 0.16666666666666663 * Z(6) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8333333333333335, -1.8333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.833333333333333, "smallest_bitstrings": ["0001110", "1000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[1];
rz(-0.3203) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.1068) q[2];
cx q[5], q[2];
cx q[5], q[6];
rz(-0.1068) q[6];
cx q[5], q[6];
cx q[2], q[6];
rz(-0.1068) q[6];
cx q[2], q[6];
cx q[3], q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(x1) q[2];
cx q[5], q[2];
cx q[5], q[6];
rz(x1) q[6];
cx q[5], q... | null | {"circuits": [], "gradients": []} |
b6a304d520c14d5694a43ad2063dd94f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "so... | {"states": [16, 15], "expectation_value": -0.33782309092646334, "params": [[0.0649], [-0.0711]], "bitstrings": ["01111", "10000"], "total_optimization_steps": 10, "probabilities": [0.0370459547666721, 0.03768195381970785], "optimization_time": 2.156266212463379} | -0.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + 1.25 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(4)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(2) + -0.25 * Z(4) + 0.25 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["10000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.0649) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2596) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0649) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.0324) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.1623) 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
2f55547bea74149f74a1253622558179 | 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": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"sour... | {"states": [31, 255], "expectation_value": -13.219340078623471, "params": null, "bitstrings": ["11100000", "00000000"], "total_optimization_steps": 100, "probabilities": [0.08297820354536037, 0.4994116721733964], "optimization_time": 207.74231624603271} | -2.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -2.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 1.0 * Z(1) + -1.5 * Z(0) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["00000000"]} | 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[7], q[3];
cry(1.5708) q[3], q[6];
cry(1.57) q[3], q[5];
cry(1.5708) q[0], q[1];
cry(1.5708) q[1], q[2];
cry(1.14) q[2], q[0];
cry(0.4215) q[2], q[1];
cry(1.0493) q[5], q[7];
cry(-1.1... | null | {"node": 1} | {"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[7], 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] = mea... |
8328621044505845926 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 7], [2, 5], [5, 6], [1, 5], [2, 6], [0, 2], [1, 3], [0, 4]]} | {"states": [104, 106], "expectation_value": -2.6851074713783087, "params": null, "bitstrings": ["10010111", "10010101"], "total_optimization_steps": 63, "probabilities": [0.24082881044888294, 0.5444603906593184], "optimization_time": 66.59582996368408} | 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["10010111", "01101010", "01101000", "00111101", "11000010", "10010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[2], q[5];
cry(-1.0342) q[4], q[0];
ry(1.0293) q[2];
cry(-0.8214) q[6], q[5];
cry(1.2629) q[2], q[1];
cry(-1.4069) q[1], q[3];
cry(-1.4069) q[1], q[7];
ry(0.7003) q[4];
cry(-0.795) q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[2], 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] = me... |
-1424619592659475064 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 5, 6, 8], [0, 1, 2, 3, 4, 5, 7, 8]]} | {"states": [383, 127], "expectation_value": -0.34235319186239516, "params": [1.479, 0.26580000000000004, 0.802, 0.009600000000000001, 1.4756, 0.3524, 0.794, 0.0046, 1.4606000000000001, 0.17500000000000002, 1.0162, 0.0011, 1.4673, 0.1756, 1.0127000000000002, 0.0094, 1.4692, 0.1777, 1.0214, 0.0073, 1.4824000000000002, -0... | 0.06785714285714287 * (Z(0) @ Z(1)) + 0.06785714285714287 * (Z(5) @ Z(1)) + 0.06785714285714287 * (Z(5) @ Z(0)) + 0.05 * (Z(6) @ Z(1)) + 0.05 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(5)) + 0.06785714285714287 * (Z(8) @ Z(1)) + 0.06785714285714287 * (Z(8) @ Z(0)) + 0.06785714285714287 * (Z(8) @ Z(5)) + 0.05 * (Z(8) @ Z(6)) + ... | 5 | 9 | 1 | {"smallest_eigenvalues": [-0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.479) q[0];
rz(0.2658) q[0];
rx(1.4756) q[1];
rz(0.3524) q[1];
rx(1.4606) q[2];
rz(0.175) q[2];
rx(1.4673) q[3];
rz(0.1756) q[3];
rx(1.4692) q[4];
rz(0.1777) q[4];
rx(1.4824) q[5];
rz(-0.04) q[5];
rx(1.4853) q[6];
rz(0.1318) q[6];
rx(1.4687) q[7];
rz(0.177... | OPENQASM 3.0;
include "stdgates.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": []} |
497ee7bf44af41c8b30000bed1ee6591 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, ... | {"states": [33, 37], "expectation_value": -5.571943097608468, "params": null, "bitstrings": ["1011110", "1011010"], "total_optimization_steps": 38, "probabilities": [0.1326295359700203, 0.6775037254232693], "optimization_time": 32.15985989570618} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -2.0 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["1011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
ry(-1.5708) q[2];
ry(-1.4449) q[4];
cry(-1.0398) q[6], q[5];
cry(-1.0398) q[1], q[0];
ry(0.7022) q[6];
ry(0.7022) q[1];
ry(-0.4578) q[5];
ry(-0.4578) q[0];
cry(0.4586) q[6], q[1];
cry(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
7d035ca1bf1f85a5b9e73dc65bf927bc | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 3}, {"weight": 14, "source": 0, "target": 6}, {... | {"states": [236, 124], "expectation_value": -10.637791318237927, "params": [[-0.044700000000000004], [0.0723]], "bitstrings": ["00010011", "10000011"], "total_optimization_steps": 10, "probabilities": [0.007435673641454434, 0.008232652114482977], "optimization_time": 1.8524043560028076} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(5) @ Z(0)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(5)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 14.5 * Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["10000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.3576) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3576) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3576) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.3576) q[3];
cx q[1], 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;
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];
r... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
b2c25a19a038d07471a5450910ba4971 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [6, 12], "expectation_value": -0.10982103361193099, "params": [[-0.0329, -0.044000000000000004, 0.0036000000000000003, 0.0603], [0.0223, 0.0531, 0.0303, -0.0303]], "bitstrings": ["11001", "10011"], "total_optimization_steps": 10, "probabilities": [0.03420079333996925, 0.03420079333996928], "optimization_time... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) + -1.0 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["01101", "10011", "11001", "00111", "01110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(-0.0329) q[0];
cx q[2], q[0];
cx q[3], q[1];
rz(-0.0329) q[1];
cx q[3], q[1];
cx q[2], q[4];
rz(-0.0329) q[4];
cx q[2], q[4];
cx q[3], q[4];
rz(-0.0329) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(-0.0329) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
8358284983507233897 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 8, 7], [9, 10], [8, 6], [1, 3, 5], [1, 9], [0, 2], [3, 4, 7], [8, 2], [1, 3, 7], [9, 2, 7], [8, 1], [0, 1, 5, 7], [0, 9, 3, 6], [4, 6], [10, 4], [1, 6]]} | {"states": [1151, 1143], "expectation_value": -2.0003129815909135, "params": [1.0902, 1.0926, 0.5720000000000001, 0.5792, 0.4237, 0.3844, 0.6255000000000001, 0.5559000000000001, 1.099, 1.1034000000000002, 1.0952, 1.0945, 1.0873000000000002, 1.0928, 0.5710000000000001, 0.48450000000000004, 1.0867, 1.0912, 1.097, 1.0864,... | 0.16666666666666666 * (Z(0) @ Z(9)) + 0.16666666666666666 * (Z(8) @ Z(9)) + 0.25 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(10) @ Z(0)) + 0.16666666666666666 * (Z(10) @ Z(8)) + 0.5 * (Z(2) @ Z(10)) + 0.5 * (Z(7) @ Z(9)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(10)) + 0.5 * (Z(1) @ Z(9)) +... | 14 | 11 | 1 | {"smallest_eigenvalues": [-5.000000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.916666666666667, "smallest_bitstrings": ["01110001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.0902) q[0];
ry(0.572) q[1];
ry(0.4237) q[2];
ry(0.6255) q[3];
ry(1.099) q[4];
ry(1.0952) q[5];
ry(1.0873) q[6];
ry(0.571) q[7];
ry(1.0867) q[8];
ry(1.097) q[9];
ry(1.0982) q[10];
crx(1.0597) q[10], q[0];
crx(0.8788) q[9], q[10];
crx(0.665) q[8], q[9];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
88d08310cecbc7a3e83627c144340291 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [33, 86], "expectation_value": -0.4364615663823916, "params": [[-0.055900000000000005, -0.0205], [0.0718, 0.0402]], "bitstrings": ["1011110", "0101001"], "total_optimization_steps": 10, "probabilities": [0.009541921523920074, 0.009985667981393647], "optimization_time": 3.6688523292541504} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -2.0 * Z(6) + -0.5 * Z(2) + -1.0 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["0101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0559) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0559) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0559) q[3];
cx q[0], q[3];
cx q[0], q[6];
rz(-0.0559) q[6];
cx q[0], q[6];
cx q[3], 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] 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] ... | null | {"circuits": [], "gradients": []} |
9c501688ace9c1c29c4f2331e1f6f6c1 | 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": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "s... | {"states": [35, 1], "expectation_value": -1.93890886653786, "params": [[0.0429, 0.0757], [-0.0179, -0.0604]], "bitstrings": ["111011100", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0037295365691088584, 0.0045936131166104625], "optimization_time": 4.391582489013672} | -1.0 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(5)) + -1.0 * (Z(8) @ Z(2)) + 3.25 * (Z(8) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -1.25 * (Z(7) @ ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-20.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.0858) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0215) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.0429) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(-0.0215) q[4];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} |
5eb7ddea4431def3edb4d139df732f60 | 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": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [128, 142], "expectation_value": -4.675703225538691, "params": [[[0.6023000000000001, -0.0332, 0.0015, 0.0016], [0.6082000000000001, -0.2406, 0.5994, -0.3659], [0.184, 0.38, 0.1799, 0.5745], [0.1693, 0.41200000000000003, 0.1532, 0.544], [0.0347, -0.2701, -0.0241, -0.2602], [-0.0028, 0.25630000000000003, 0.06... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + -2.5 * Z(4) ... | 11 | 9 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["101110001", "101110100", "001110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.6023) q[0];
rz(-0.0332) q[0];
ry(0.6082) q[1];
rz(-0.2406) q[1];
ry(0.184) q[2];
rz(0.38) q[2];
ry(0.1693) q[3];
rz(0.412) q[3];
ry(0.0347) q[4];
rz(-0.2701) q[4];
ry(-0.0028) q[5];
rz(0.2563) q[5];
ry(-0.0196) q[6];
rz(-0.2342) q[6];
ry(-0.008) 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": []} |
83e23dbe2433e9aa73d702adc6438772 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "ta... | {"states": [186, 442], "expectation_value": -3.653396367375409, "params": [[[-0.0024000000000000002, 0.0015], [1.6277000000000001, 0.0018000000000000002], [3.1395, 0.0057], [0.0023, 0.007200000000000001], [3.1395, 0.0031000000000000003], [3.1391, 0.0048000000000000004], [3.1394, 0.0025], [-0.0086, 0.0099], [3.1438, 0.0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(7) @ Z(2)) + 0.125 * (Z(8) @ Z(2)) + 0.125 * (Z(7) @ Z(4)) + 0.125 * (Z(8) @ Z(4)) + 0.125 * (Z(7... | 1 | 10 | 1 | {"smallest_eigenvalues": [-4.125, -4.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.125, "smallest_bitstrings": ["1001000101", "0101001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0024) q[0];
rz(0.0015) q[0];
rx(1.6277) q[1];
rz(0.0018) q[1];
rx(3.1395) q[2];
rz(0.0057) q[2];
rx(0.0023) q[3];
rz(0.0072) q[3];
rx(3.1395) q[4];
rz(0.0031) q[4];
rx(3.1391) q[5];
rz(0.0048) q[5];
rx(3.1394) q[6];
rz(0.0025) q[6];
rx(-0.0086) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
d3afc618b7dbe8b32f310fdf84749e1a | vertex_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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [88, 84], "expectation_value": -2.709634259553923, "params": [0.5690000000000001, -0.0119, -0.016300000000000002, 0.3687, 0.604, 0.08700000000000001, 0.597, 0.299, 0.5958, 0.3859, 0.0005, 0.34, 0.502, 0.278, 0.5688, 0.0046, -0.0178, 0.3743, 0.6106, 0.1436, 0.5738, 0.3407, 0.5887, 0.405, 0.0029000000000000002... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(5) + -1.0 * Z(6) + -0.5 * Z(3) + -0.5 * Z(4) + 0.0 * Z(2) | 3 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1101010", "0100111", "1100110", "0101011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.569) q[0];
rz(-0.0119) q[0];
rx(-0.0163) q[1];
rz(0.3687) q[1];
rx(0.604) q[2];
rz(0.087) q[2];
rx(0.597) q[3];
rz(0.299) q[3];
rx(0.5958) q[4];
rz(0.3859) q[4];
rx(0.0005) q[5];
rz(0.34) q[5];
rx(0.502) q[6];
rz(0.278) q[6];
crz(0.3777) 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] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
e98b53e0167756e0364419ca81191dd8 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [96, 120], "expectation_value": -4.999934068931291, "params": null, "bitstrings": ["0011111", "0000111"], "total_optimization_steps": 33, "probabilities": [1.383465500065299e-05, 0.9999481801794438], "optimization_time": 28.58008646965027} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(1) + -1.0 * Z(6) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5681) q[4];
ry(-1.5681) q[5];
ry(-1.5681) q[6];
ry(1.4449) q[3];
ry(1.4449) q[2];
ry(1.4449) q[0];
ry(1.4449) q[1];
cry(0.1187) q[2], q[3];
cry(0.1188) q[3], q[0];
cry(0.1188) q[0], q[1];
cry(0.1186... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) 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", ... |
db3eea64102268372a279e794254c1af | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -11.060557513788584, "params": [0.0039000000000000003, -0.2684, 0.0005, -0.2296, 0.0027, -0.2889, 0.0047, -0.29510000000000003, 0.4047, 0.0534, 0.3985, -0.0012000000000000001, 0.0034000000000000002, -0.2622, 0.0023, -0.2666, 0.005, -0.2827, -0.0022, -0.28240000000000004, 0.0045... | -0.25 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(1) @ Z(8)) + -0.25 * (Z(5) @ Z(8)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(8)) + -1.0 * (Z(7) @ Z(1)) + -0.25 * (Z(9) @ Z(4)) + -0.75 * (Z(9... | 5 | 11 | 2 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0039) q[0];
rz(-0.2684) q[0];
rx(0.0027) q[1];
rz(-0.2889) q[1];
rx(0.4047) q[2];
rz(0.0534) q[2];
rx(0.0034) q[3];
rz(-0.2622) q[3];
rx(0.005) q[4];
rz(-0.2827) q[4];
rx(0.0045) q[5];
rz(-0.2334) q[5];
rx(0.0053) q[6];
rz(-0.1445) q[6];
rx(0.0029) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
959f05abd479552f0696314b40ef5b74 | 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": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 7}, {"sour... | {"states": [148, 180], "expectation_value": -6.513741306796811, "params": [[-0.0223, 1.0535, 0.002, -0.7115, 1.3928, -0.033, 1.2152, 0.0018000000000000002, -0.018500000000000003], [0.0279, 1.0489, 0.0023, 0.7641, 1.0821, -0.008700000000000001, 0.8292, 0.0026000000000000003, 0.0334], [0.0281, 1.0483, 0.0019, -0.8061, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) ... | 10 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["101100011", "101001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0223) q[0];
ry(1.0535) q[1];
ry(0.002) q[2];
ry(-0.7115) q[3];
ry(1.3928) q[4];
ry(-0.033) q[5];
ry(1.2152) q[6];
ry(0.0018) q[7];
ry(-0.0185) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-2595898905980317343 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2, 6], [0, 1, 2, 4, 5], [0, 2, 3, 4, 5, 6], [0, 1, 3, 4, 6], [0, 1, 2, 3, 5], [0, 1, 2, 3, 4]]} | {"states": [59, 55], "expectation_value": -0.729956170833421, "params": [[-0.3524], [0.3554]], "bitstrings": ["1000100", "1001000"], "total_optimization_steps": 40, "probabilities": [0.014797324931815573, 0.014797324931815577], "optimization_time": 1.6989386081695557} | 0.2833333333333333 * (Z(0) @ Z(1)) + 0.23333333333333334 * (Z(2) @ Z(1)) + 0.26666666666666666 * (Z(2) @ Z(0)) + 0.13333333333333333 * (Z(6) @ Z(1)) + 0.16666666666666669 * (Z(6) @ Z(0)) + 0.11666666666666667 * (Z(6) @ Z(2)) + 0.15000000000000002 * (Z(4) @ Z(1)) + 0.18333333333333335 * (Z(4) @ Z(0)) + 0.133333333333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.25, -1.25, -1.25, -1.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.2499999999999996, "smallest_bitstrings": ["1000010", "1001000", "0011000", "0010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.1997) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1645) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1879) q[2];
cx q[0], q[2];
cx q[1], q[6];
rz(-0.094) q[6];
cx q[1], q[6];
cx q[0], q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} |
2cf6224a7b786ab8607e7cc5dbc62158 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 6... | {"states": [3, 43], "expectation_value": -8.212917224881869, "params": null, "bitstrings": ["1111100", "1010100"], "total_optimization_steps": 49, "probabilities": [0.20431288557519606, 0.6125808501211156], "optimization_time": 45.47066879272461} | -1.0 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -1.25 * (Z(1) @ Z(3)) + 2.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -0.75 * Z(2) + -0.25 * Z(0) + -0.75 * Z(4) + 0.5 * Z(3) + -0.25 * Z(1) + 0.5 * Z(6) + 1.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-9.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.75, "smallest_bitstrings": ["1010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.57) q[6], q[0];
ry(1.0559) q[6];
cry(1.5708) q[6], q[5];
cry(-1.5707) q[6], q[2];
cry(-0.5198) q[5], q[0];
ry(-1.5706) q[4];
cry(1.5523) q[1], q[3];
cry(1.229) q[3], q[1];
cry(0.204) q[5], q[6];
ry... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.57) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];... |
f2268dbc2cd9e9d8be6517cd34bc9399 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 3}]} | {"states": [4, 5], "expectation_value": -7.4999999999720615, "params": null, "bitstrings": ["1011", "1010"], "total_optimization_steps": 13, "probabilities": [4.65539676913598e-12, 0.9999999999953437], "optimization_time": 4.8629231452941895} | -1.25 * (Z(0) @ Z(2)) + 1.5 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.5 * (Z(1) @ Z(3)) + -1.5 * Z(2) + -0.25 * Z(0) + 0.0 * Z(3) + 1.75 * Z(1) | 1 | 4 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["1010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(1.5708) q[1];
cry(1.5708) q[1], q[3];
ry(-1.5708) q[0];
ry(-1.5708) q[2];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3]; | null | {"source": 0, "sink": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\n... |
cde6b48ed870286595c1455af7aff8bd | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}]} | {"states": [59387, 59355], "expectation_value": -16.85691042927117, "params": [1.5751000000000002, 0.0047, 0.9212, 0.2599, 1.5742, 0.055900000000000005, 0.6611, 0.501, 0.7372000000000001, -0.47350000000000003, 1.5734000000000001, -0.043300000000000005, 0.9038, 0.2531, 1.5539, 0.08600000000000001, 0.897, 0.2627, 1.5746,... | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(2)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(... | 16 | 16 | 2 | {"smallest_eigenvalues": [-20.499999999999932], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.499999999999858, "smallest_bitstrings": ["0001100000100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(1.5751) q[0];
rz(0.0047) q[0];
rx(0.9212) q[1];
rz(0.2599) q[1];
rx(1.5742) q[2];
rz(0.0559) q[2];
rx(0.6611) q[3];
rz(0.501) q[3];
rx(0.7372) q[4];
rz(-0.4735) q[4];
rx(1.5734) q[5];
rz(-0.0433) q[5];
rx(0.9038) q[6];
rz(0.2531) q[6];
rx(1.5539) 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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 0}]}} | {"circuits": [], "gradients": []} |
2a9ab16bb8bcea71e9f34a77597a5638 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 14, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 3}, {... | {"states": [206, 122], "expectation_value": -17.06754064933096, "params": [[0.0239, -0.0582], [-0.056900000000000006, 0.0512]], "bitstrings": ["00110001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.008102794483138148, 0.009499253207050716], "optimization_time": 4.881446123123169} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.1912) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1912) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1912) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.1912) q[3];
cx q[1], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
7e799239f8573f120a2c5e15cda2e88f | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}]} | {"states": [0, 8], "expectation_value": -2.746010950493092, "params": null, "bitstrings": ["1111", "0111"], "total_optimization_steps": 8, "probabilities": [0.0039434487441986675, 0.9960271124624693], "optimization_time": 3.844003438949585} | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + -0.75 * Z(1) + -0.75 * Z(2) + -0.25 * Z(0) + -1.0 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["0111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-1.5681) q[3];
ry(-1.5486) q[2];
ry(-1.4449) q[1];
ry(1.4449) q[0];
cry(-0.1187) q[0], q[1];
cry(-0.021) q[0], q[2];
cry(-0.0027) q[0], q[3];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3]; | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... |
919c76a2f2c3c40f577bd22fd27d7d9a | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": ... | {"states": [896, 960], "expectation_value": -40.88108771657791, "params": [1.1548, 1.0574000000000001, 0.0023, 0.0021000000000000003, 0.0025, 0.0026000000000000003, 0.009600000000000001, -0.007200000000000001, 0.0022, 0.0027, 0.0025, 0.0025, 0.0025, 0.0026000000000000003, 0.0025, 0.0026000000000000003, 0.0019, 0.003100... | -2.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -3.5 * (Z(4) @ Z(5)) + -3.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(4)) + -3.5 * (Z(9) @ Z(5)) + -3.0 * (Z(9) @ Z(4)) + -3.0 * (Z(9) @ Z(6)) + -3.5 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(4)) + 1... | 14 | 10 | 1 | {"smallest_eigenvalues": [-43.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -40.0, "smallest_bitstrings": ["0000111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.1548) q[0];
ry(0.0023) q[1];
ry(0.0025) q[2];
ry(0.0096) q[3];
ry(0.0022) q[4];
ry(0.0025) q[5];
ry(0.0025) q[6];
ry(0.0025) q[7];
ry(0.0019) q[8];
ry(0.003) q[9];
crx(2.5333) q[9], q[0];
crx(-0.0149) q[8], q[9];
crx(3.1979) q[7], q[8];
crx(3.1988) 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[... | {"node": 5} | {"circuits": [], "gradients": []} |
6743507577099325746 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[4, 5], [0, 2], [2, 3], [2, 5], [1, 5], [0, 3], [3, 4], [2, 4]]} | {"states": [28, 35], "expectation_value": -0.062169446239429965, "params": [[0.06670000000000001], [-0.059300000000000005]], "bitstrings": ["100011", "011100"], "total_optimization_steps": 10, "probabilities": [0.016625122841424443, 0.016625122841424443], "optimization_time": 1.3349134922027588} | 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(1) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.0, "smallest_bitstrings": ["111010", "110010", "100101", "100011", "001101", "000101", "011010", "011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[4];
rz(0.0667) q[4];
cx q[5], q[4];
cx q[5], q[2];
rz(0.0667) q[2];
cx q[5], q[2];
cx q[4], q[2];
rz(0.0667) q[2];
cx q[4], q[2];
cx q[2], q[0];
rz(0.0667) q[0];
cx q[2], q[0];
cx q[4], q[3];
rz(0.0667... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[2], q[0];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
9915ff93784d747e82bcd9a73a2399e5 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [8, 9], "expectation_value": -1.648549998691994, "params": [0.20950000000000002, -0.0025, 0.4051, 0.0017000000000000001, 0.0036000000000000003, 0.2901, 0.0005, 0.2813, 0.4073, 0.0013000000000000002, 0.2114, -0.0023, 0.4043, 0.0017000000000000001, 0.0012000000000000001, 0.2889, 0.0007, 0.2893, 0.4047, 0.0014,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(4)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + -0.125 * (Z(1) @ Z(4) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(3) @ Z(4) @ Z(2)) + 0.12... | 4 | 5 | 4 | {"smallest_eigenvalues": [-2.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.625, "smallest_bitstrings": ["10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.2095) q[0];
rz(-0.0025) q[0];
rx(0.4051) q[1];
rz(0.0017) q[1];
rx(0.0036) q[2];
rz(0.2901) q[2];
rx(0.0005) q[3];
rz(0.2813) q[3];
rx(0.4073) q[4];
rz(0.0013) q[4];
crx(-0.0002) q[4], q[3];
crx(0.2259) q[3], q[2];
crx(0.2947) q[2], q[1];
crx(-0.3275) q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
a81a167158580bb999f8e68ace712ae9 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1... | {"states": [122, 63], "expectation_value": -5.127794985485924, "params": null, "bitstrings": ["0000101", "1000000"], "total_optimization_steps": 52, "probabilities": [0.20957780762037564, 0.7042868365108161], "optimization_time": 45.36599087715149} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + 0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * Z(1) + -0.25 * Z(0) + 1.25 * Z(2) + -0.75 * Z(3) + -0.25 * Z(4) + -0.25 * Z(6) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5706) q[2];
ry(1.5486) q[1];
cry(1.5681) q[2], q[5];
cry(1.4449) q[6], q[4];
cry(1.5482) q[1], q[3];
cry(1.1758) q[4], q[6];
cry(-1.3013) q[6], q[0];
cry(0.35) q[1], q[0];
cry(-0.5362) q[4], q[0];
ry... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5706) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
96ad00ceee3f9c4e7577fb22d2b67779 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 16, "source": 1, "target": 6}, {"weight": 11, "source": 1, "target": 5}, {"weight": 6, "source": 2, "targ... | {"states": [154, 218], "expectation_value": -40.16810511822339, "params": null, "bitstrings": ["101100101", "100100101"], "total_optimization_steps": 100, "probabilities": [0.09375692448695085, 0.2068702820557305], "optimization_time": 185.49203991889954} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 17.0 * Z(2) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100100101"]} | 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(-23.4164) q[2];
ry(-1.7434) q[4];
ry(49.6318) q[5];
cry(10.2439) q[2], q[5];
ry(-5.9954) q[7];
cry(10.2969) q[2], q[7];
ry(30.866) q[1];
ry(22.5642) q[6];
cry(38.4019) q[2], q[1];
cry(3... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-23.4164) 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] =... |
-2871694830834871442 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 4, 5], [0, 7], [1, 4], [3, 6], [8, 5]]} | {"states": [284, 312], "expectation_value": -0.038984130790486154, "params": [[-0.06430000000000001], [0.0683]], "bitstrings": ["011100011", "011000111"], "total_optimization_steps": 10, "probabilities": [0.002110086250723767, 0.002110086250723767], "optimization_time": 1.4922332763671875} | 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(8) @ Z(5)) + 0.16666666666666663 * Z(4) + 0.16666666666666666 * Z(2) + 0.16666666666666663 * Z(5) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 *... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 12, "first_excited_... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[4], q[2];
rz(-0.0214) q[2];
cx q[4], q[2];
cx q[4], q[5];
rz(-0.0214) q[5];
cx q[4], q[5];
cx q[2], q[5];
rz(-0.0214) q[5];
cx q[2], q[5];
cx q[7], q[0];
rz(-0.0643) q[0];
cx q[7], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[5];
rz(x0) q[5];
cx q[4], q[5];
cx q[2], q[5];
rz(x0) ... | null | {"circuits": [], "gradients": []} |
f438dd84874324e8039dc4edeb3bf57b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [0, 29], "expectation_value": -7.035165902683302, "params": [[[-0.1164, -0.47000000000000003, 0.0038, 0.0079], [0.0033, 0.46940000000000004, -0.0142, 0.40890000000000004], [0.0019, -0.8855000000000001, 0.0019, -0.7152000000000001], [0.0026000000000000003, -0.2179, 0.0027, 0.9331], [-0.0031000000000000003, 0.... | -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) | 11 | 6 | 3 | {"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;
ry(-0.1164) q[0];
rz(-0.47) q[0];
ry(0.0033) q[1];
rz(0.4694) q[1];
ry(0.0019) q[2];
rz(-0.8855) q[2];
ry(0.0026) q[3];
rz(-0.2179) q[3];
ry(-0.0031) q[4];
rz(0.9524) q[4];
ry(-0.003) q[5];
rz(0.6553) q[5];
cx q[1], q[0];
cx q[3], q[2];
cx q[5], q[4];
ry(-0.01... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
e71ca35b89e32eba873d40b0ff483676 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [490, 1002], "expectation_value": -3.0707681200474832, "params": [[[0.9839, 0.005], [1.5747, 0.0099], [2.5127, 0.0077], [2.9929, 0.0047], [3.0051, 0.0035], [2.9932000000000003, 0.0019], [0.002, 0.0002], [3.0044, 0.0039000000000000003], [0.003, 0.0029000000000000002], [2.9972000000000003, 0.0004], [0.1902, 0.... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(0) @ Z(2) @ Z(1)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 1 | 11 | 1 | {"smallest_eigenvalues": [-4.125, -4.125, -4.125, -4.125], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.125, "smallest_bitstrings": ["10000010101", "00101010100", "01010001010", "01000110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.9839) q[0];
rz(0.005) q[0];
rx(1.5747) q[1];
rz(0.0099) q[1];
rx(2.5127) q[2];
rz(0.0077) q[2];
rx(2.9929) q[3];
rz(0.0047) q[3];
rx(3.0051) q[4];
rz(0.0035) q[4];
rx(2.9932) q[5];
rz(0.0019) q[5];
rx(0.002) q[6];
rz(0.0002) q[6];
rx(3.0044) 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": []} |
4cd28f9bc761b26f6d6f15aeccbaedea | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 4}, {"weight": 18, "source": 0, "target": 5}, {"weight": 20, "source": 0, "target": 3}, {... | {"states": [122, 121], "expectation_value": -9.17976319095565, "params": [[-0.047], [0.066]], "bitstrings": ["10000101", "10000110"], "total_optimization_steps": 10, "probabilities": [0.007010518177294261, 0.007297122667502997], "optimization_time": 1.750936508178711} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 18.0 * Z(1) + 12.5 * Z(0) + 17.5 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.376) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.376) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.376) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.376) q[3];
cx q[1], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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];
r... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
4501317548263494606 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 1, 9, 7], [9, 3, 1], [8, 1, 2, 5], [0, 4, 5, 7], [1, 3, 6], [8, 3], [1, 2, 7], [9, 5], [8, 2, 4, 7], [0, 2, 5, 6], [9, 2, 6, 7], [0, 3, 5], [0, 8, 1], [0, 9, 4]]} | {"states": [973, 965], "expectation_value": -3.09089465674787, "params": [1.5778, 1.5675000000000001, 1.2998, 1.8356000000000001, 2.0866000000000002, 1.0496, 0.9505, 1.2562, 0.9079, 0.07440000000000001, 0.0504, -0.0425, 0.7701, 0.7601, 1.0549, 2.0786000000000002, 1.6745, 1.4459, 1.7288000000000001, 1.4213, 0.0911, 1.61... | 0.3333333333333333 * (Z(8) @ Z(1)) + 0.25 * (Z(9) @ Z(1)) + 0.08333333333333333 * (Z(9) @ Z(8)) + 0.25 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(8)) + 0.16666666666666666 * (Z(7) @ Z(9)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(8)) + 0.16666666666666666 * (Z(3) @ Z(9)) + 0.25 * (Z(2) @ Z(1)) + 0.1... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.500000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0000111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.5778) q[0];
ry(1.2998) q[1];
ry(2.0866) q[2];
ry(0.9505) q[3];
ry(0.9079) q[4];
ry(0.0504) q[5];
ry(0.7701) q[6];
ry(1.0549) q[7];
ry(1.6745) q[8];
ry(1.7288) q[9];
crx(0.0911) q[9], q[0];
crx(0.3403) q[8], q[9];
crx(0.6406) q[7], q[8];
crx(0.8427) 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": []} |
43f346f2449aaad74bd3d1617b2cab32 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [82, 89], "expectation_value": -3.0081617359338577, "params": null, "bitstrings": ["0101101", "0100110"], "total_optimization_steps": 39, "probabilities": [0.05651695491284668, 0.8490176077116037], "optimization_time": 40.53905725479126} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2) @ Z(5)) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100110", "0101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5486) q[1];
ry(-1.4449) q[4];
ry(1.0341) q[2];
cry(-1.2415) q[6], q[5];
ry(1.2907) q[0];
ry(0.7971) q[6];
cry(-0.6796) q[2], q[5];
cry(1.3184) q[6], q[3];
cry(0.472) q[0], q[2];
cry(0.4452) q[2], q[... | 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(-1.5486) 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];\nc[6] = measure q[6];\n", ... |
9f6a09f991bf68484362b3872f6239a7 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 5... | {"states": [63, 1], "expectation_value": -1.1789786049208182, "params": [[-0.046, 0.0359, 0.07930000000000001], [0.0717, 0.0175, -0.0528]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.012375321157409783, 0.012788348668536256], "optimization_time": 5.728321552276611} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(2)) + -1.25 * Z(1) + -... | 1 | 7 | 3 | {"smallest_eigenvalues": [-10.5, -10.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110", "1110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.092) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(0.092) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.069) q[5];
cx q[0], q[5];
cx q[1], q[3];
rz(0.023) q[3];
cx q[1], q[3];
cx q[5], q[3];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
f3e32e1adc0b0d4686bd84de2a96f4ab | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [81, 83], "expectation_value": -3.029285355521394, "params": [-0.013300000000000001, 0.2068, -0.0117, 0.20550000000000002, 0.4001, 0.08070000000000001, 0.4056, 0.006200000000000001, 0.39690000000000003, 0.0789, 0.393, 0.0747, 0.3941, 0.10490000000000001, 0.39930000000000004, 0.0799, 0.0636, 0.2013, 0.0612000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(7) + -1.0 * Z(4) + -0.... | 7 | 8 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["10101100", "10011010", "10011100", "10101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0133) q[0];
rz(0.2068) q[0];
rx(0.4001) q[1];
rz(0.0807) q[1];
rx(0.3969) q[2];
rz(0.0789) q[2];
rx(0.3941) q[3];
rz(0.1049) q[3];
rx(0.0636) q[4];
rz(0.2013) q[4];
rx(0.3977) q[5];
rz(0.2112) q[5];
rx(0.3949) q[6];
rz(0.1454) q[6];
rx(0.4019) 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": []} |
c3748fcc72302775c117f76c5c27415d | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3},... | {"states": [1980, 2044], "expectation_value": -1.6716965816523008, "params": [[-0.063], [0.0762]], "bitstrings": ["00001000011", "00000000011"], "total_optimization_steps": 10, "probabilities": [0.0008787056205498568, 0.0009179095602803709], "optimization_time": 0.7849736213684082} | -1.5 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -1.5 * (Z(8) @ Z(6)) + -2.0... | 1 | 11 | 1 | {"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["00000000011"]} | 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];
cx q[1], q[0];
rz(0.189) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.315) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.315) q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(-0.063) q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1... | {"node": 9} | {"circuits": [], "gradients": []} |
8b86b8c78e12bc4605ea690d344857fc | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [113, 97], "expectation_value": -4.282705649733862, "params": [0.302, 0.3014, 0.29760000000000003, 0.29500000000000004, 0.1895, 0.185, -0.0171, -0.0178, 0.0019, 0.0012000000000000001, -0.0061, 0.0035, 0.25680000000000003, 0.251, 0.29760000000000003, 0.2962, 0.29500000000000004, 0.2957, 0.17700000000000002, 0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(3) + -1.0 * Z(0) + -2.0 * Z(4) + -1.5 * Z(5) + -1.0 * Z(1) + -0.5 * Z... | 14 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100101", "0001111", "0011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.302) q[0];
ry(0.2976) q[1];
ry(0.1895) q[2];
ry(-0.0171) q[3];
ry(0.0019) q[4];
ry(-0.0061) q[5];
ry(0.2568) q[6];
crx(0.2949) q[6], q[0];
crx(-0.1094) q[5], q[6];
crx(-0.1859) q[4], q[5];
crx(-0.2123) q[3], q[4];
crx(-0.0352) q[2], q[3];
crx(-0.0108) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input... | null | {"circuits": [], "gradients": []} |
4509f364555e62d9baf522f318c7da50 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [3356, 3348], "expectation_value": -125.3476748012675, "params": [1.4062000000000001, -0.0022, 1.3937000000000002, 0.3034, 0.3089, 0.6099, 1.3976000000000002, 0.3042, -0.0032, 0.8581000000000001, 0.002, 0.7915000000000001, 0.38720000000000004, 0.5659000000000001, 1.3952, 0.2651, 0.7463000000000001, 0.4736, 1... | 8.0 * (Z(2) @ Z(0)) + 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(6) @ Z(0)) + 8.0 * (Z(7) @ Z(1)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(5) @ Z(9)) + 8.0 * (Z(8) @ Z(1)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(8) @ Z(9)) + 8.0 * (Z(10) @ Z(3)) + 15.0 * Z(0) + 1.5 * Z(2) + 23.5 * Z(1) + -4.0 * Z(4) + ... | 18 | 12 | 2 | {"smallest_eigenvalues": [-146.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -124.0, "smallest_bitstrings": ["001011101011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.4062) q[0];
rz(-0.0022) q[0];
rx(1.3937) q[1];
rz(0.3034) q[1];
rx(0.3089) q[2];
rz(0.6099) q[2];
rx(1.3976) q[3];
rz(0.3042) q[3];
rx(-0.0032) q[4];
rz(0.8581) q[4];
rx(0.002) q[5];
rz(0.7915) q[5];
rx(0.3872) q[6];
rz(0.5659) q[6];
rx(1.3952) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
59c7bf586b1b6ff0483e10c6bee5d678 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [6, 7], "expectation_value": -6.087134233463639, "params": [[[0.23190000000000002, 0.2318], [0.30460000000000004, 0.19740000000000002], [0.26080000000000003, -0.2233], [0.3, 0.1993], [0.6827000000000001, -0.0008], [0.6069, 0.001], [0.6019, 0.0029000000000000002]], [[0.23340000000000002, 0.2318], [0.3033, 0.1... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.2319) q[0];
rz(0.2318) q[0];
rx(0.3046) q[1];
rz(0.1974) q[1];
rx(0.2608) q[2];
rz(-0.2233) q[2];
rx(0.3) q[3];
rz(0.1993) q[3];
rx(0.6827) q[4];
rz(-0.0008) q[4];
rx(0.6069) q[5];
rz(0.001) q[5];
rx(0.6019) q[6];
rz(0.0029) q[6];
rx(0.2334) q[0];
rz(0.23... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
fc2a0aab6aa71710f421b73642e2514f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [206, 222], "expectation_value": -2.8893600565283473, "params": [-0.0038, 0.8101, 1.5851000000000002, -0.0028, 1.3664, 0.005200000000000001, 0.003, -1.1551, 0.8169000000000001, 0.0025, 1.5816000000000001, 0.0016, 1.5853000000000002, -0.0028, 1.5869, -0.3657, 0.3105, -0.6676000000000001, -0.0001, 0.003, 1.587... | 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(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(0) @ Z(5) @ Z(4)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(3) @ Z(7)) + ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["001110000", "100100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0038) q[0];
rz(0.8101) q[0];
rx(1.5851) q[1];
rz(-0.0028) q[1];
rx(1.3664) q[2];
rz(0.0052) q[2];
rx(0.003) q[3];
rz(-1.1551) q[3];
rx(0.8169) q[4];
rz(0.0025) q[4];
rx(1.5816) q[5];
rz(0.0016) q[5];
rx(1.5853) q[6];
rz(-0.0028) q[6];
rx(1.5869) 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": []} |
3f15d8a3a52bb3495503dcce203eb5e8 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 4}, {"weight": 15, "source": 1, "target": 4}, {"weight": 17, "source": 1, "target": 3}, {... | {"states": [124, 118], "expectation_value": -10.62911657888727, "params": [[0.0419], [-0.0693]], "bitstrings": ["10000011", "10001001"], "total_optimization_steps": 10, "probabilities": [0.007489233234535422, 0.008002241265049517], "optimization_time": 2.229743242263794} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-79.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.3352) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.3352) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3352) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.3352) q[3];
cx q[0], q[3];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
33f87d8b006507f35f4d20e43beeca46 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [87, 215], "expectation_value": -2.092736718889125, "params": [-0.0019, 0.0047, 0.2518, 0.20400000000000001, 0.4471, 0.4354, 0.5328, 0.5085000000000001, 0.2026, 0.1897, 0.5979, 0.5983, 0.3456, 0.3396, 0.6017, 0.5945, 0.5943, 0.5977, 0.6058, 0.6042000000000001, 0.006500000000000001, -0.002, 0.1896000000000000... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(5) @ Z(6) @ Z(7)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(8) @ Z(0)) + 0.125 * (Z(9) @ Z(0)) + 0.125 * (Z(8) @ Z(5)) + 0.125 * (Z(9) @ Z(5)) + 0.125 * (Z(8) @ Z(9)) + -0.125 * (Z(8) @ Z(0) @ Z(5)) + ... | 14 | 10 | 2 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.625, "smallest_bitstrings": ["1100100100", "1100110000", "1100101000", "1101000100", "1011000100", "1010101000", "1011010000", "1011001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0019) q[0];
ry(0.2518) q[1];
ry(0.4471) q[2];
ry(0.5328) q[3];
ry(0.2026) q[4];
ry(0.5979) q[5];
ry(0.3456) q[6];
ry(0.6017) q[7];
ry(0.5943) q[8];
ry(0.6058) q[9];
crx(-0.0029) q[9], q[0];
crx(0.5849) q[8], q[9];
crx(0.5347) q[7], q[8];
crx(-0.2107) 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": []} |
46ff7ad0a3644a0760a4ec2983701c5f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [68, 25], "expectation_value": -0.8403514341092182, "params": [[0.0648, 0.0587], [-0.057, -0.046700000000000005]], "bitstrings": ["0111011", "1100110"], "total_optimization_steps": 10, "probabilities": [0.010240398925749069, 0.010561019606494677], "optimization_time": 3.806699514389038} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(1) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["1100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0648) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0648) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(0.0648) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0648) q[5];
cx q[0], q[5];
cx q[2], q[5];
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": []} |
2037c68aca19f83c01748f0e59e08f2f | 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}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5},... | {"states": [2047, 511], "expectation_value": -0.8086209843707785, "params": [[-0.0763], [0.0731]], "bitstrings": ["00000000000", "11000000000"], "total_optimization_steps": 10, "probabilities": [0.0007720399200287433, 0.0007720399200287435], "optimization_time": 2.651207447052002} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(10)) + -1.0 * Z(1) + 1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["00000000000", "11000000000"]} | 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];
cx q[1], q[0];
rz(0.2289) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(0.2289) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(0.2289) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.0763) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[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];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3... | {"node": 1} | {"circuits": [], "gradients": []} |
7217034462980724262 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[6, 7], [3, 7], [0, 6], [0, 1], [1, 7], [2, 5], [3, 5], [1, 6], [0, 7], [4, 6], [0, 5], [2, 3]]} | {"states": [86, 169], "expectation_value": -0.13923625145746732, "params": [[0.0743], [-0.08070000000000001]], "bitstrings": ["10101001", "01010110"], "total_optimization_steps": 10, "probabilities": [0.004486288037730545, 0.004486288037730545], "optimization_time": 1.6686527729034424} | 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.0 * Z(7) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.0, "smallest_bitstrings": ["00100111", "01001101", "10010010", "01010110", "11011000", "01101101", "11111000", "00000111", "10101001", "10110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[6];
rz(0.0743) q[6];
cx q[7], q[6];
cx q[7], q[3];
rz(0.0743) q[3];
cx q[7], q[3];
cx q[7], q[0];
rz(0.0743) q[0];
cx q[7], q[0];
cx q[6], q[0];
rz(0.0743) q[0];
cx q[6], q[0];
cx q[7],... | 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[7], q[6];
rz(x0) q[6];
cx q[7], q[6];
cx q[7], q[3];
rz(x0) q[3];
cx q[7], q[3];
cx q[7], q[0];
rz(x0) q[0];
cx q[7], q[0];
cx q[6]... | null | {"circuits": [], "gradients": []} |
7d8b3d8ceec2d81b644dfcbc98592f50 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [52, 9], "expectation_value": -0.08431072069270625, "params": [[0.0049, -0.0398], [-0.0275, 0.0369]], "bitstrings": ["001011", "110110"], "total_optimization_steps": 10, "probabilities": [0.01606956649004383, 0.01616316718680672], "optimization_time": 3.029402494430542} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(2) + 0.0 * Z(0) + -1.5 * Z(1) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["110110", "011101", "011110", "001111", "011011"]} | 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(0.0049) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0049) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0049) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.0049) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(0.0049... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[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... | null | {"circuits": [], "gradients": []} |
-4828269759176675544 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 2, 3, 4, 6, 7, 8, 9], [0, 1, 2, 4, 5, 6, 7, 8, 9], [0, 1, 3, 4, 5, 6, 7, 9], [1, 2, 3, 4, 5], [1, 3, 5, 8, 9]]} | {"states": [767, 763], "expectation_value": -0.7987661037467391, "params": [1.2893000000000001, -0.0334, 1.0853000000000002, 0.0017000000000000001, 1.2761, 0.38220000000000004, 0.8757, 0.0006000000000000001, 1.3783, 0.1663, 1.2898, 0.0025, 1.3692, 0.1346, 0.8754000000000001, 0.0036000000000000003, 1.3783, 0.06150000000... | 0.04563492063492063 * (Z(0) @ Z(1)) + 0.07777777777777778 * (Z(2) @ Z(1)) + 0.027777777777777776 * (Z(2) @ Z(0)) + 0.13174603174603175 * (Z(3) @ Z(1)) + 0.031746031746031744 * (Z(3) @ Z(0)) + 0.06388888888888888 * (Z(3) @ Z(2)) + 0.09563492063492063 * (Z(4) @ Z(1)) + 0.04563492063492063 * (Z(4) @ Z(0)) + 0.077777777777... | 5 | 10 | 1 | {"smallest_eigenvalues": [-0.9119047619047624, -0.9119047619047624], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.9119047619047623, "smallest_bitstrings": ["0100000100", "0100001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.2893) q[0];
rz(-0.0334) q[0];
rx(1.2761) q[1];
rz(0.3822) q[1];
rx(1.3783) q[2];
rz(0.1663) q[2];
rx(1.3692) q[3];
rz(0.1346) q[3];
rx(1.3783) q[4];
rz(0.0615) q[4];
rx(1.3708) q[5];
rz(0.1304) q[5];
rx(1.2884) q[6];
rz(-0.0464) q[6];
rx(1.176) 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": []} |
bc61f035d1c66afdfb18fc5ab29f7217 | 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": 4, "source": 0, "target": 8}, {"capacity": 4, "source": 0, "target":... | {"states": [0, 804], "expectation_value": -12.928080013337455, "params": [-0.021500000000000002, 0.09870000000000001, -0.0088, -0.07300000000000001, 0.3452, 0.0012000000000000001, 0.3659, 0.0021000000000000003, 0.40180000000000005, -0.0026000000000000003, 0.4021, -0.0018000000000000002, 0.0023, 0.3014, 0.0032, 0.298, 0... | -1.0 * (Z(0) @ Z(3)) + -1.0 * (Z(9) @ Z(0)) + -0.25 * (Z(10) @ Z(3)) + -1.0 * (Z(10) @ Z(0)) + 3.25 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(10)) + -1.25 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(9)) + -0.25 * (Z(6) @ Z(9)) + -0.5 * (Z(6) @ Z(10)) + -1.5 * (Z(6) @ Z(4)) + -0.25 * (Z(5) @ Z(10)) + -0.5 * (Z... | 6 | 11 | 2 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["10011011011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0215) q[0];
rz(0.0987) q[0];
rx(0.3452) q[1];
rz(0.0012) q[1];
rx(0.4018) q[2];
rz(-0.0026) q[2];
rx(0.0023) q[3];
rz(0.3014) q[3];
rx(0.0185) q[4];
rz(0.2018) q[4];
rx(0.3631) q[5];
rz(0.0034) q[5];
rx(-0.004) q[6];
rz(0.2326) q[6];
rx(0.0019) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input flo... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
78352b36d64b35d780c91f540c949806 | 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": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 8}, {"source": ... | {"states": [0, 832], "expectation_value": -32.281602005366175, "params": [-0.5115000000000001, -0.8781, 0.5081, -0.7212000000000001, -0.3658, 1.2972000000000001, -0.3249, 1.5471000000000001, -0.0015, 0.9306000000000001, -0.0047, 1.0142, 0.5424, -0.35100000000000003, 0.46490000000000004, 0.5037, 0.0005, 1.0001, -0.00620... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 2.0 * (Z(5) @ Z(8)) + 1.0 * (Z(2) @ Z(8)) + 1.0 * (Z(2) @ Z(5)) + -3.0 * (Z(4) @ Z(8)) + -3.5 * (Z(4) @ Z(5)) + -3.5 * (Z(6) @ Z(8)) + -3.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(4)) + -4.0 * (Z(7) @ Z(8)) + -4.0 * (Z(7) @ Z(5)) + -3.0 * (Z(7) @ Z(2)) + 1.... | 6 | 10 | 2 | {"smallest_eigenvalues": [-33.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.5, "smallest_bitstrings": ["0010111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.5115) q[0];
rz(-0.8781) q[0];
rx(-0.3658) q[1];
rz(1.2972) q[1];
rx(-0.0015) q[2];
rz(0.9306) q[2];
rx(0.5424) q[3];
rz(-0.351) q[3];
rx(0.0005) q[4];
rz(1.0001) q[4];
rx(-0.0022) q[5];
rz(1.3065) q[5];
rx(-0.0043) q[6];
rz(1.1333) q[6];
rx(-0.0039) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} |
-8196771019814898442 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 4, 7], [0, 3, 5], [2, 4], [4, 6]]} | {"states": [92, 93], "expectation_value": -1.5246836926207394, "params": [[[0.43720000000000003, 0.0067], [3.1392, 0.0009000000000000001], [-0.0027, 0.0008], [3.1391, 0.0061], [3.1395, 0.0073], [3.1436, 0.0014], [0.0028, 0.0006000000000000001], [1.6483, 0.0035]]], "bitstrings": ["10100011", "10100010"], "total_optimiza... | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.5833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.583333333333333, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4372) q[0];
rz(0.0067) q[0];
rx(3.1392) q[1];
rz(0.0009) q[1];
rx(-0.0027) q[2];
rz(0.0008) q[2];
rx(3.1391) q[3];
rz(0.0061) q[3];
rx(3.1395) q[4];
rz(0.0073) q[4];
rx(3.1436) q[5];
rz(0.0014) q[5];
rx(0.0028) q[6];
rz(0.0006) q[6];
rx(1.6483) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
1a258303a51d0e9234cb00a09dd8fee4 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"s... | {"states": [7943, 8167], "expectation_value": -18.378351252125917, "params": [-0.0028, -0.6950000000000001, -3.1438, 0.0927, -0.0023, 0.6934, -0.0021000000000000003, -0.8262, -2.2406, -0.0019, -1.3495000000000001, 0.0013000000000000002, -0.0019, -0.5809000000000001, -1.2794, -0.001, 0.0025, 0.007, -0.002600000000000000... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(10) @ Z(11)) + -1.5 * (Z(12) @ Z(11)) + -1.5 * (Z(12) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4)... | 4 | 13 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["0000000011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(-0.0028) q[0];
rz(-0.695) q[0];
rx(-3.1438) q[1];
rz(0.0927) q[1];
rx(-0.0023) q[2];
rz(0.6934) q[2];
rx(-0.0021) q[3];
rz(-0.8262) q[3];
rx(-2.2406) q[4];
rz(-0.0019) q[4];
rx(-1.3495) q[5];
rz(0.0013) q[5];
rx(-0.0019) q[6];
rz(-0.5809) q[6];
rx(-1.2794... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 10} | {"circuits": [], "gradients": []} |
dc79b1d1506b238352b546bee89b4fcb | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target":... | {"states": [504, 511], "expectation_value": -0.7127792457364794, "params": [[-0.0514], [0.062200000000000005]], "bitstrings": ["000000111", "000000000"], "total_optimization_steps": 10, "probabilities": [0.0027183784388655286, 0.0027516862628719813], "optimization_time": 2.201212167739868} | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -1.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 1.0 * Z(7) + -... | 1 | 9 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(0.2056) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.2056) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.0514) q[1];
cx q[0], q[1];
cx q[2], q[3];
rz(0.2056) q[3];
cx q[2], q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x0) q[1... | {"node": 7} | {"circuits": [], "gradients": []} |
37b1f3be910aaa1079ac9b0431f56275 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [214, 213], "expectation_value": -74.22744228907816, "params": [0.0044, 1.3885, 1.0456, -0.0076, 1.0521, 0.2782, 0.0022, 1.1093, 1.0639, 0.2235, 0.0038, 0.5766, 1.0964, 0.0792, 0.9547, -0.2172, 1.0316, 0.167, -0.0023, 1.5581, 1.0532000000000001, -0.006, 1.0569, 0.2993, 0.0025, 0.7632, 1.0561, 0.2786, 0.0047,... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(4)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(8) @ Z(7)) + 8.0 * Z(1) + -4.0 * Z(0) + 10.0 * Z(2) + 18.0 * Z(4) + 0.5 * Z(3) + 3.0 * Z(5) + 14.0 * Z(6) + 7.5 *... | 18 | 9 | 3 | {"smallest_eigenvalues": [-79.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["100101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0044) q[0];
rz(1.3885) q[0];
rx(1.0456) q[1];
rz(-0.0076) q[1];
rx(1.0521) q[2];
rz(0.2782) q[2];
rx(0.0022) q[3];
rz(1.1093) q[3];
rx(1.0639) q[4];
rz(0.2235) q[4];
rx(0.0038) q[5];
rz(0.5766) q[5];
rx(1.0964) q[6];
rz(0.0792) q[6];
rx(0.9547) q[7];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
db7bdfb6ee94a36848a9fd983ceba634 | 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": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 6, "source": 1, ... | {"states": [67, 65], "expectation_value": -0.23409286169833407, "params": [[-0.0316], [0.0409]], "bitstrings": ["10111100", "10111110"], "total_optimization_steps": 10, "probabilities": [0.0044972345526489155, 0.004531631931711391], "optimization_time": 2.0127768516540527} | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(7)) + -1.75 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.25 * Z(7) + 1.5 * Z(1) + 0.0 * Z(4) + -1.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-17.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["10111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(0.0948) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0632) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0632) q[3];
cx q[0], q[3];
cx q[0], q[7];
rz(-0.1738) q[7];
cx q[0], q[7];
cx q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
4395246568591664247 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 7], [0, 2, 3, 4, 5, 7, 8, 9, 10, 11], [0, 3, 4, 5, 6, 7, 9, 10, 11], [0, 1, 2, 4, 5, 6, 8, 9, 10], [0, 3, 4, 5, 6, 7, 8, 9, 10], [0, 1, 5, 6, 9, 10, 11], [2, 5, 6, 8, 9, 11], [0, 2, 3, 4, 5, 6, 7], [0, 1, 2, 3, 4, 5, 6, 9, 10], [2, 3, 5, 6, 10, 11], [... | {"states": [3565, 3561], "expectation_value": -2.575624700088105, "params": [1.3672, 0.0016, 2.8668, 0.0079, 1.9639000000000002, -0.0026000000000000003, 0.0224, 0.0017000000000000001, 0.6765, 0.0004, 0.5777, 0.0049, 2.4598, -0.0024000000000000002, 0.4697, 0.0043, 2.5282, -0.0019, 0.3655, 0.0016, 2.5304, -0.002, 0.5661,... | 0.5 * (Z(1) @ Z(7)) + 0.0626984126984127 * (Z(0) @ Z(7)) + 0.051587301587301584 * (Z(0) @ Z(1)) + 0.09206349206349207 * (Z(2) @ Z(7)) + 0.041666666666666664 * (Z(2) @ Z(1)) + 0.0626984126984127 * (Z(2) @ Z(0)) + 0.09603174603174602 * (Z(3) @ Z(7)) + 0.027777777777777776 * (Z(3) @ Z(1)) + 0.07658730158730159 * (Z(3) @ Z... | 6 | 12 | 1 | {"smallest_eigenvalues": [-2.638095238095237], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.626984126984126, "smallest_bitstrings": ["001000010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.3672) q[0];
rz(0.0016) q[0];
rx(1.9639) q[1];
rz(-0.0026) q[1];
rx(0.6765) q[2];
rz(0.0004) q[2];
rx(2.4598) q[3];
rz(-0.0024) q[3];
rx(2.5282) q[4];
rz(-0.0019) q[4];
rx(2.5304) q[5];
rz(-0.002) q[5];
rx(2.5609) q[6];
rz(-0.0022) q[6];
rx(2.2674) 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": []} |
e95c8bc22a5c03425fc32d877756198b | vertex_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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, ... | {"states": [24, 28], "expectation_value": -3.5007188553548736, "params": [0.0227, 0.0636, 0.0172, 0.0594, 0.0911, 0.0476, 0.0853, 0.0668, 0.2985, -0.0177, 0.2984, -0.006, 0.3034, 0.014400000000000001, 0.3038, 0.0077, 0.3002, -0.016900000000000002, 0.3023, -0.0106, 0.06810000000000001, -0.0709, 0.0685, -0.0763, 0.2579, ... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(1) + -0.5 * Z(5) | 6 | 7 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1100110", "1101100", "1010011", "0011101", "1100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0227) q[0];
rz(0.0636) q[0];
rx(0.0911) q[1];
rz(0.0476) q[1];
rx(0.2985) q[2];
rz(-0.0177) q[2];
rx(0.3034) q[3];
rz(0.0144) q[3];
rx(0.3002) q[4];
rz(-0.0169) q[4];
rx(0.0681) q[5];
rz(-0.0709) q[5];
rx(0.2579) q[6];
rz(-0.0304) q[6];
crx(-0.1701) 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... | null | {"circuits": [], "gradients": []} |
501477738601b9a56009fb34d8274268 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capaci... | {"states": [27, 31], "expectation_value": -4.891461038695923, "params": null, "bitstrings": ["100100", "100000"], "total_optimization_steps": 35, "probabilities": [0.3657088066685248, 0.36574086973498815], "optimization_time": 21.307427883148193} | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + 2.0 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + -1.0 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.25, -5.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000", "100100"]} | 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];
cry(1.5708) q[1], q[2];
cry(1.4449) q[5], q[4];
cry(1.0462) q[4], q[5];
cry(-1.2965) q[5], q[0];
cry(-0.2312) q[4], q[0];
ry(0.2588) q[0];
ry(0.0977) q[5];
ry(0.1418) q[4];
cry(0.0503) q[1], q[5]... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[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... |
fe37a95fb62cde91e69aee116b6773bd | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 2}, {"weight": 11, "source": 0, "target": 4}, {"weight": 20, "source": 1, "tar... | {"states": [124, 236], "expectation_value": -28.95805958685711, "params": null, "bitstrings": ["110000011", "100010011"], "total_optimization_steps": 100, "probabilities": [0.058440211323662096, 0.1871033169533792], "optimization_time": 200.6310727596283} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.5, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(3.0513) q[1];
ry(0.1056) q[5];
ry(-13.8995) q[6];
ry(22.4309) q[4];
cry(-63.0965) q[8], q[1];
cry(-62.6511) q[7], q[1];
ry(62.9285) q[2];
cry(-62.8921) q[3], q[1];
cry(-49.6335) q[5], q... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(3.0513) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
efdf1647847c4caab8e1de5e0281093e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 6, "source": ... | {"states": [257, 271], "expectation_value": -31.247616852494286, "params": [0.0012000000000000001, 0.0057, -0.0028, -0.0008, -0.0026000000000000003, -0.0031000000000000003, 0.7751, 0.7834, -0.0009000000000000001, -0.0059, -0.0044, 0.0001, -0.004200000000000001, -0.00030000000000000003, -0.0023, -0.002, -0.8220000000000... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + -1.5 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(6)) + 3.25 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(7)) + -1.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(3)) + -1.0 * (Z(8) @ Z(1)) + -0.25 * (Z(8) @ Z(6)) + -1.0 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(5)) + -1.5 * (Z(10) @ Z(... | 14 | 12 | 2 | {"smallest_eigenvalues": [-32.25, -32.25, -32.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -30.25, "smallest_bitstrings": ["111011110000", "111011010000", "110011010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0012) q[0];
ry(-0.0028) q[1];
ry(-0.0026) q[2];
ry(0.7751) q[3];
ry(-0.0009) q[4];
ry(-0.0044) q[5];
ry(-0.0042) q[6];
ry(-0.0023) q[7];
ry(-0.822) q[8];
ry(-0.0054) q[9];
ry(0.0195) q[10];
ry(0.1621) q[11];
crx(-0.003) q[11], q[0];
crx(1.0362) q[10], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
3012e1b6018e3f767ff12c1a3a3c35a1 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [50, 35], "expectation_value": -4.496515537769795, "params": null, "bitstrings": ["1001101", "1011100"], "total_optimization_steps": 28, "probabilities": [0.06700898087128362, 0.9297460398074041], "optimization_time": 26.3140127658844} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1011100", "1001101", "1100011", "0111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
ry(-1.5681) q[4];
ry(-1.4449) q[0];
ry(1.4449) q[5];
ry(1.4417) q[1];
cry(-1.0398) q[6], q[2];
ry(0.7022) q[6];
ry(-0.4578) q[2];
cry(0.497) q[5], q[6];
cry(-0.3761) q[5], q[2];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
7bc4dde9a09d0b94c5097b219891d81a | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [74, 90], "expectation_value": -0.005651106856964371, "params": [1.495, 0.0022, 1.6285, 0.009000000000000001, 1.4755, 0.0061, 1.6173000000000002, 0.001, 1.6508, 0.006500000000000001, 1.4702000000000002, 0.0036000000000000003, 1.6242, 0.0061, 1.4847000000000001, 0.0004, 0.0063, 0.009600000000000001, 0.0065000... | 0.25 * (Z(0) @ Z(1)) + -0.001953125 * (Z(2) @ Z(0)) + -0.001953125 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00078125 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + 0.00078125 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00078125 * (Z(6) @ Z(0)) + -0.00078125 * (Z(6) @ Z(2)) + -0.0015625 *... | 16 | 8 | 1 | {"smallest_eigenvalues": [-1.0070312500000003, -1.0070312500000003], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0070312499999998, "smallest_bitstrings": ["10101010", "10100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.495) q[0];
rz(0.0022) q[0];
rx(1.6285) q[1];
rz(0.009) q[1];
rx(1.4755) q[2];
rz(0.0061) q[2];
rx(1.6173) q[3];
rz(0.001) q[3];
rx(1.6508) q[4];
rz(0.0065) q[4];
rx(1.4702) q[5];
rz(0.0036) q[5];
rx(1.6242) q[6];
rz(0.0061) q[6];
rx(1.4847) q[7];
rz(0.000... | OPENQASM 3.0;
include "stdgates.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": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
a3571c19d72a014065614d323aff3379 | kclique | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [39, 7], "expectation_value": -0.7714563620747077, "params": [[[0.5213, 0.0487], [0.4374, 0.08310000000000001], [0.3869, 0.0961], [0.5877, 0.0025], [0.5874, -0.0024000000000000002], [0.5801000000000001, -0.0016]], [[0.5188, 0.0487], [0.43210000000000004, 0.083], [0.386, 0.0961], [0.5800000000000001, 0.0025],... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 1 | 6 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.5213) q[0];
rz(0.0487) q[0];
rx(0.4374) q[1];
rz(0.0831) q[1];
rx(0.3869) q[2];
rz(0.0961) q[2];
rx(0.5877) q[3];
rz(0.0025) q[3];
rx(0.5874) q[4];
rz(-0.0024) q[4];
rx(0.5801) q[5];
rz(-0.0016) q[5];
rx(0.5188) q[0];
rz(0.0487) q[0];
rx(0.4321) q[1];
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[... | {"k": 3} | {"circuits": [], "gradients": []} |
ee95eea0157613eba1229e90a73f1e5f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "source": ... | {"states": [2048, 2047], "expectation_value": -16.795010042661115, "params": [[[-0.0035, -0.0359], [-0.0051, -0.0016], [-0.0001, -0.003], [0.0506, -0.0029000000000000002], [0.0015, -0.0026000000000000003], [-0.0005, -0.0029000000000000002], [-0.0118, -0.0018000000000000002], [-0.0061, 0.0021000000000000003], [-0.0051, ... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(11) @ Z(1)) + -0.75 * (Z(11) @ Z(0)) + 2.25 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(11)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(8)) + -1.0 * (Z(7) @ Z(5)) + -1.25 * (Z(10) @ Z(1)) + -0.5 * (Z(... | 15 | 12 | 4 | {"smallest_eigenvalues": [-17.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.25, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0035) q[0];
ry(-0.0051) q[1];
ry(-0.0001) q[2];
ry(0.0506) q[3];
ry(0.0015) q[4];
ry(-0.0005) q[5];
ry(-0.0118) q[6];
ry(-0.0061) q[7];
ry(-0.0051) q[8];
ry(-0.0042) q[9];
ry(0.0445) q[10];
ry(-0.0077) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
209492d0ebde0c4941c69f20876abb8e | 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}], "edges": [{"weight": 6, "source": 0, "t... | {"states": [405, 218], "expectation_value": -41.62325081035118, "params": null, "bitstrings": ["001101010", "100100101"], "total_optimization_steps": 100, "probabilities": [0.08014064645964437, 0.3145507446695984], "optimization_time": 195.30245757102966} | 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(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(0)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.5, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(9.9081) q[2];
ry(-12.7539) q[7];
ry(-12.7539) q[4];
ry(16.6112) q[5];
ry(0.1443) q[0];
ry(5.4653) q[1];
ry(38.8597) q[6];
cry(2.3822) q[6], q[7];
cry(1.2053) q[6], q[4];
cry(-12.7085) q... | null | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(9.9081) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
dca74c4464ee5c0862a21e9a873391f9 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [17, 25], "expectation_value": -2.351175547270593, "params": [[[0.0004, 0.44880000000000003], [0.3327, 0.1068], [0.5984, 0.0026000000000000003], [0.5974, 0.0005], [0.00030000000000000003, 0.3743], [0.339, 0.13920000000000002], [0.5986, 0.0025]], [[0.006500000000000001, 0.3418], [0.3282, 0.1073], [0.6055, 0.0... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(3) @ Z(6) @ Z(5)) + -1.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + 0.0 * Z(3)... | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.5, "smallest_bitstrings": ["1101100", "1001110", "1100101", "1100110", "1010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0004) q[0];
rz(0.4488) q[0];
rx(0.3327) q[1];
rz(0.1068) q[1];
rx(0.5984) q[2];
rz(0.0026) q[2];
rx(0.5974) q[3];
rz(0.0005) q[3];
rx(0.0003) q[4];
rz(0.3743) q[4];
rx(0.339) q[5];
rz(0.1392) q[5];
rx(0.5986) q[6];
rz(0.0025) q[6];
rx(0.0065) q[0];
rz(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": []} |
b2c25a19a038d07471a5450910ba4971 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 3}]} | {"states": [2, 3], "expectation_value": -3.097017499588266, "params": [[[0.9812000000000001, 0.006200000000000001], [0.9131, 0.003], [0.6803, 0.0027], [1.7013, 0.0081], [1.5817, 0.0039000000000000003]]], "bitstrings": ["11101", "11100"], "total_optimization_steps": 170, "probabilities": [0.15566644245227554, 0.15908337... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + -2.5 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(4) + -2.25 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.9812) q[0];
rz(0.0062) q[0];
rx(0.9131) q[1];
rz(0.003) q[1];
rx(0.6803) q[2];
rz(0.0027) q[2];
rx(1.7013) q[3];
rz(0.0081) q[3];
rx(1.5817) q[4];
rz(0.0039) q[4];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3];
c[4] = ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | {"k": 3} | {"circuits": [], "gradients": []} |
8a8a4905c9b0f8fd7847dc408134a288 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}], "edges": [{"capacity": 5, "source": 0, "target": 1}]} | {"states": [1, 0], "expectation_value": -3.299979933508817, "params": [-0.0007, 0.006200000000000001, -0.0018000000000000002, 0.003, -0.0046, 0.0027, 0.0048000000000000004, 0.0081, 0.0048000000000000004], "bitstrings": ["110", "111"], "total_optimization_steps": 10, "probabilities": [5.349189553762314e-06, 0.9999936736... | -0.2 * (Z(0) @ Z(1)) + -0.4 * (Z(2) @ Z(1)) + -0.2 * (Z(2) @ Z(0)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) | 18 | 3 | 1 | {"smallest_eigenvalues": [-3.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
rx(-0.0007) q[0];
rz(0.0062) q[0];
rx(-0.0018) q[1];
rz(0.003) q[1];
rx(-0.0046) q[2];
rz(0.0027) q[2];
crz(0.0048) q[2], q[0];
crz(0.0048) q[1], q[2];
crz(0.0081) q[0], q[1];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2]; | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[3] c;
qubit[3] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q[2];
rz(x5) q[2];
crz(x6) q[2], q[0];
cr... | {"source": 0, "sink": 1} | {"circuits": [], "gradients": []} |
596dc591e846e98017ad5da8b3c9d903 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [90, 91], "expectation_value": -1.8387078804832975, "params": [-0.0106, -0.0129, -0.0089, -0.0083, 0.5081, 0.4787, 0.3664, 0.2796, 0.6005, 0.6035, 0.6035, 0.5967, 0.198, 0.1776, 0.6076, 0.6059, 0.42460000000000003, 0.4268, -0.0108, -0.009000000000000001, -0.0118, -0.0167, 0.4294, 0.4167, 0.2827, 0.153, 0.604... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(2) @ Z(5)) + -0.125 * (Z(4) @ Z(2) @ Z(6)) + -0.125 * (Z(2) @ Z(5) @ Z(6)) + -0.125 * (Z(4)... | 14 | 9 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.25, "smallest_bitstrings": ["101000110", "100100110", "111000001", "101000011", "010110100", "110100100", "011010001", "010110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0106) q[0];
ry(-0.0089) q[1];
ry(0.5081) q[2];
ry(0.3664) q[3];
ry(0.6005) q[4];
ry(0.6035) q[5];
ry(0.198) q[6];
ry(0.6076) q[7];
ry(0.4246) q[8];
crx(0.0251) q[8], q[0];
crx(0.2052) q[7], q[8];
crx(0.5712) q[6], q[7];
crx(-0.2028) q[5], q[6];
crx(0.161... | OPENQASM 3.0;
include "stdgates.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": []} |
95b1142ae8d79cc944e68dc71d440182 | 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": 7, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [9, 15], "expectation_value": -6.370397575480722, "params": null, "bitstrings": ["110110", "110000"], "total_optimization_steps": 34, "probabilities": [0.07917139809195542, 0.8343795242741813], "optimization_time": 23.444026470184326} | -0.75 * (Z(0) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(1) @ Z(3)) + -2.75 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 0.25 * Z(3) + -0.25 * Z(0) + 0.25 * Z(5) + -0.25 * Z(2) + -1.25 * Z(1) + 1.25 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["111110", "110000", "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];
cry(1.5708) q[3], q[4];
ry(0.9957) q[3];
ry(0.4568) q[4];
cry(0.438) q[4], q[3];
cry(1.5162) q[4], q[2];
cry(1.5651) q[2], q[5];
cry(-1.5289) q[5], q[0];
ry(-1.3533) q[1];
cry(0.0085) q[5], q[4];
cry(0.0269) q[2]... | 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];\ncry(1.5708) q[3], 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 \... |
83b66b06474357803968abb74782f6a8 | 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": [2233, 2225], "expectation_value": -125.85612836953072, "params": [1.3984, 0.0033, 0.3708, 0.5255000000000001, 0.0028, 1.0277, 0.0024000000000000002, 0.8517, 1.3972, 0.35150000000000003, 0.1932, 0.6254000000000001, 1.4046, 0.30060000000000003, 1.4034, 0.0125, 0.7704000000000001, 0.38180000000000003, 0.002600... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(4) @ Z(1)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(6) @ Z(0)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(7) @ Z(5)) + 8.0 * (Z(8) @ Z(0)) + 8.0 * (Z(8) @ Z(6)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(11) @ Z(0)) + 8.0 * (Z(11) @ Z(6)) + 8.0 * (Z(11) @ Z(8)) + 2.5 * Z(1) + 24.5 * Z(0) + 5.5 * Z(4) + -3.5 * Z(3) +... | 16 | 12 | 2 | {"smallest_eigenvalues": [-147.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -137.5, "smallest_bitstrings": ["011101001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.3984) q[0];
rz(0.0033) q[0];
rx(0.3708) q[1];
rz(0.5255) q[1];
rx(0.0028) q[2];
rz(1.0277) q[2];
rx(0.0024) q[3];
rz(0.8517) q[3];
rx(1.3972) q[4];
rz(0.3515) q[4];
rx(0.1932) q[5];
rz(0.6254) q[5];
rx(1.4046) q[6];
rz(0.3006) q[6];
rx(1.4034) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
081a3ef2a02910794db9cb14b9d27e2c | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [9, 12], "expectation_value": -1.972903235061299, "params": null, "bitstrings": ["10110", "10011"], "total_optimization_steps": 15, "probabilities": [0.07435629520367526, 0.8990326070136716], "optimization_time": 7.012110710144043} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["10011", "01101", "11001", "10110", "01110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.4449) q[0];
ry(-1.4449) q[3];
ry(1.4384) q[1];
cry(-1.0398) q[2], q[4];
ry(0.6944) q[2];
ry(-0.451) q[4];
cry(0.4962) q[1], q[2];
cry(-0.3778) q[1], q[4];
cry(-0.1259) q[1], q[0];
cry(-0.1217) q[1], q[3];
cry(0.112... | 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(-1.4449) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
36ca7dc9f5d3c577b81b39c983da4ca4 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": ... | {"states": [768, 896], "expectation_value": -16.173512212867784, "params": [-0.005, 0.0011, 0.0009000000000000001, 0.0032, 0.3754, 0.3801, 0.3788, 0.3763, 0.24250000000000002, 0.24130000000000001, 0.0015, 0.0022, 0.0027, 0.0046, 0.0041, 0.0027, 0.003, 0.0011, 0.0016, 0.0011, 0.0013000000000000002, -0.0011, 0.0006000000... | -0.5 * (Z(0) @ Z(7)) + -0.25 * (Z(8) @ Z(0)) + -0.75 * (Z(9) @ Z(7)) + -0.25 * (Z(9) @ Z(0)) + -0.75 * (Z(9) @ Z(8)) + -0.5 * (Z(10) @ Z(0)) + -0.25 * (Z(10) @ Z(8)) + -0.75 * (Z(10) @ Z(9)) + -1.0 * (Z(1) @ Z(7)) + -0.5 * (Z(1) @ Z(8)) + -0.5 * (Z(1) @ Z(9)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(6) @ Z(8)) + -0.75 * (Z(... | 14 | 12 | 4 | {"smallest_eigenvalues": [-16.5, -16.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -15.5, "smallest_bitstrings": ["110001111111", "111001111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.005) q[0];
ry(0.0009) q[1];
ry(0.3754) q[2];
ry(0.3788) q[3];
ry(0.2425) q[4];
ry(0.0015) q[5];
ry(0.0027) q[6];
ry(0.0041) q[7];
ry(0.003) q[8];
ry(0.0016) q[9];
ry(0.0013) q[10];
ry(0.0006) q[11];
crx(-0.0782) q[11], q[0];
crx(-0.2933) q[10], q[11];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
-6707064883952822093 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4, 5, 6], [0, 1, 3, 4], [0, 1, 2, 4]]} | {"states": [94, 123], "expectation_value": -0.2783779890452826, "params": [[-0.3748], [0.367]], "bitstrings": ["0100001", "0000100"], "total_optimization_steps": 40, "probabilities": [0.011555016543156167, 0.011591740780577748], "optimization_time": 5.243368148803711} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.16666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-0.75, -0.75, -0.75, -0.75, -0.75, -0.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -0.6666666666666667, "smallest_bitstrings": ["0100010", "0100001", "0011000", "1000010", "1000001", "0000100"]} | 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[3];
rz(-0.1249) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(-0.0625) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(-0.0625) q[5];
cx q[3], q[5];
cx q[4], q[6];
rz(-0.0625) q[6];
cx q[4], q[6];
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;
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[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(x1) q[5];
cx q[4], q[5]... | null | {"circuits": [], "gradients": []} |
-665890028297923844 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[3, 4, 5], [0, 3], [1, 3], [2, 3]]} | {"states": [6, 5], "expectation_value": -1.5460302347265333, "params": null, "bitstrings": ["111001", "111010"], "total_optimization_steps": 37, "probabilities": [0.16981647421503304, 0.41323903020589364], "optimization_time": 35.28543138504028} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * Z(4) + 0.16666666666666674 * Z(3) + 0.16666666666666666 * Z(5) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.5000000000000002, "smallest_bitstrings": ["000100", "111010", "111001"]} | 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];
cry(-1.0342) q[3], q[2];
ry(0.971) q[3];
cry(-1.3758) q[3], q[1];
cry(-1.3758) q[3], q[0];
ry(-0.6611) q[2];
cry(0.2624) q[5], q[3];
cry(0.1461) q[4], q[3];
cry(-0.318) q[5], q[4];
ry(0.2996) q[5];
cry(-0.2697) q... | 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];\ncry(-1.0342) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
66118b4a39d9f94415b36602b745f3db | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1... | {"states": [25, 63], "expectation_value": -3.8327157141949892, "params": null, "bitstrings": ["1100110", "1000000"], "total_optimization_steps": 57, "probabilities": [0.08569643730503933, 0.6101461547912892], "optimization_time": 68.42231893539429} | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * Z(4) + -0.25 * Z(0) + 0.25 * Z(1) + -0.5 * Z(5) + 0.5... | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(1.5158) q[4], q[2];
cry(1.5157) q[4], q[1];
ry(1.5485) q[3];
cry(0.8284) q[2], q[4];
cry(0.3998) q[2], q[1];
cry(1.3013) q[2], q[6];
cry(-1.4753) q[6], q[0];
cry(1.2112) q[4], q[5];
ry(-0.5598) q[5];
... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5158) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... |
-6715739738485015248 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 3], [1, 2], [4, 5]]} | {"states": [49, 50], "expectation_value": -0.012932438558954137, "params": [[-0.0432], [0.0502]], "bitstrings": ["001110", "001101"], "total_optimization_steps": 10, "probabilities": [0.016032633051152132, 0.016032633051152132], "optimization_time": 0.7994606494903564} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -0.5, "smallest_bitstrings": ["110010", "110001", "101010", "101001", "001110", "001101", "010110", "010101"]} | 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(-0.0432) q[0];
cx q[3], q[0];
cx q[2], q[1];
rz(-0.0432) q[1];
cx q[2], q[1];
cx q[5], q[4];
rz(-0.0432) q[4];
cx q[5], q[4];
rz(0) q[3];
rz(0) q[0];
rz(0) q[2];
rz(0) q[1];
rz(0) q[5];
rz(0) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
rz(x1) q[3];
rz(x1) q[0... | null | {"circuits": [], "gradients": []} |
8147d5d3f18eedfc5937c58448484e9e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "ta... | {"states": [145, 177], "expectation_value": -3.661354929075101, "params": [0.4076, 0.0002, 0.4002, -0.0014, -0.015000000000000001, 0.2048, -0.0092, 0.20350000000000001, 0.3085, -0.0043, 0.303, 0.053200000000000004, 0.4072, 0.0015, 0.4082, -0.0017000000000000001, 0.2008, 0.0886, 0.2018, 0.0908, -0.0118, 0.2146, -0.0161,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(1) + 0.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(7) + -0.5 * Z(4) + -0.5 * Z(2) + -1.5 * Z(6) + 0.0 * Z(3) | 7 | 8 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["01100110", "01001110", "01001011", "01100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4076) q[0];
rz(0.0002) q[0];
rx(-0.015) q[1];
rz(0.2048) q[1];
rx(0.3085) q[2];
rz(-0.0043) q[2];
rx(0.4072) q[3];
rz(0.0015) q[3];
rx(0.2008) q[4];
rz(0.0886) q[4];
rx(-0.0118) q[5];
rz(0.2146) q[5];
rx(-0.0031) q[6];
rz(0.2079) q[6];
rx(0.3963) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x11;
input float[64] x12;
input float[64] x13;
inpu... | null | {"circuits": [], "gradients": []} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.