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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
7b9c246532208479e16ead07d0fd9661 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]} | {"states": [60851, 60855], "expectation_value": -18.70207660449901, "params": [[[0.5107, -0.0024000000000000002], [1.1484, 0.0024000000000000002], [1.5689000000000002, -0.0026000000000000003], [-0.29700000000000004, 0.0026000000000000003], [1.1718, -0.0021000000000000003], [1.5721, 0.0016], [-0.034, -0.0016], [1.573200... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(... | 15 | 16 | 2 | {"smallest_eigenvalues": [-20.00000000000009], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999876, "smallest_bitstrings": ["0001001001001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(0.5107) q[0];
ry(1.1484) q[1];
ry(1.5689) q[2];
ry(-0.297) q[3];
ry(1.1718) q[4];
ry(1.5721) q[5];
ry(-0.034) q[6];
ry(1.5732) q[7];
ry(0.4913) q[8];
ry(1.5723) q[9];
ry(-0.0003) q[10];
ry(1.5747) q[11];
ry(1.3815) q[12];
ry(-0.0021) q[13];
ry(0.0022) 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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 3}]}} | {"circuits": [], "gradients": []} |
305451fe42c8e99c594080bbfd8c69fa | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, ... | {"states": [19, 35], "expectation_value": -3.9963269418995533, "params": null, "bitstrings": ["1101100", "1011100"], "total_optimization_steps": 26, "probabilities": [0.06635596786096055, 0.9302847332671536], "optimization_time": 25.31528377532959} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(3) + -1.0 * Z(0) + -0.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(1) + -0.5 * Z(2) + -1.0 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1011100", "0011011", "0101011", "1110100", "1101100"]} | 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(-1.4449) q[0];
ry(-1.4449) q[4];
ry(1.4384) q[6];
ry(1.4384) q[5];
cry(-1.0342) q[1], q[2];
ry(0.7003) q[1];
cry(-0.1259) q[6], q[0];
cry(-0.1259) q[6], q[4];
ry(-0.4549) q[2];
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", ... |
b8aaab24da0004c3e40ded7e0da30763 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [5, 1], "expectation_value": -2.3808884404038655, "params": [[-0.0684, -0.052500000000000005, -0.0519, -0.063], [0.0821, 0.0703, 0.0663, 0.07060000000000001]], "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 10, "probabilities": [0.02445286791479969, 0.03149119144226883], "optimization_time... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(3)) + 2.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.5 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5) + 2.0 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0684) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0684) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.0684) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.0342) q[4];
cx q[0], q[4];
cx q[3], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
bf001351f2bf5e55c043b36bf1cfc0ff | 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": 6}, {"weight": 18, "source": 0, "target": 4}, {"weight": 11, "source": 0, "target": 2}, {... | {"states": [243, 115], "expectation_value": -39.1756635352704, "params": [[-0.0356], [0.3744]], "bitstrings": ["00001100", "10001100"], "total_optimization_steps": 40, "probabilities": [0.030051762476541975, 0.031076676106174466], "optimization_time": 2.267064094543457} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-64.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.5, "smallest_bitstrings": ["10001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.2848) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2848) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2848) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2848) 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;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
d641b238a610d42d2a4d2049e26c4a8c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 1, ... | {"states": [1, 97], "expectation_value": -16.47824140047548, "params": [0.0033, 1.685, 0.4359, 1.2137, 0.9474, 0.5586, 0.0025, 1.3469, 0.0027, 1.7642, 0.0028, 1.5408000000000002, 0.0026000000000000003, 1.4763000000000002, 1.5702, 0.0027, 0.0026000000000000003, 0.1608, 0.0751, -0.6559, 0.7546, -0.4152, 0.0025, -0.717000... | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -2.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(6)) + -1.25 * (Z(7) @ Z(1)) + 2.5 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @... | 4 | 8 | 2 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["10011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0033) q[0];
rz(1.685) q[0];
rx(0.4359) q[1];
rz(1.2137) q[1];
rx(0.9474) q[2];
rz(0.5586) q[2];
rx(0.0025) q[3];
rz(1.3469) q[3];
rx(0.0027) q[4];
rz(1.7642) q[4];
rx(0.0028) q[5];
rz(1.5408) q[5];
rx(0.0026) q[6];
rz(1.4763) q[6];
rx(1.5702) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
43307769d8a05a2ca68cecbc0fed0778 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1}, {"capaci... | {"states": [25, 31], "expectation_value": -0.19960205106325354, "params": [[0.0499, -0.0108, 0.0522, -0.022500000000000003], [-0.06770000000000001, -0.0016, -0.04, -0.0178]], "bitstrings": ["100110", "100000"], "total_optimization_steps": 10, "probabilities": [0.018284729887052962, 0.018765141280626535], "optimization_... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 0.75 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + 0.0 * Z(1) + -0.25 * Z(0) + -1.0 * Z(4) + -0.25 * Z(5) + 1.0 * Z(2) + 0.5 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.25, "smallest_bitstrings": ["100000", "100110", "100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0249) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(-0.0249) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(-0.0499) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0748) q[5];
cx q[0], q[5];
cx q[1], q[2];
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": 5} | {"circuits": [], "gradients": []} |
61f8633b48687234480fdb0cb93a70e4 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 3, "target": 7}, {"source": 3, "target": 8}, {"sour... | {"states": [0, 255], "expectation_value": -24.620135213606826, "params": [[[0.0022, 1.611], [0.0022, 0.0029000000000000002], [0.0021000000000000003, 0.0018000000000000002], [0.002, 0.0019], [0.0018000000000000002, 0.0021000000000000003], [0.0022, 0.0022], [0.0019, 0.002], [0.0025, 0.0023]]], "bitstrings": ["11111111", ... | -1.5 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(5)) + -3.0 * (Z(6) @ Z(5)) + -3.0 * (Z(6) @ Z(2)) + -3.0 * (Z(7) @ Z(5)) + -2.5 * (Z(7) @ Z(2)) + 1.5 * (Z(7) @ Z(6)) + -3.0 * (Z(3) @ Z(5)) + 1.5 * (Z(3) @ Z(2)) + -3.0 * (Z(3) @ Z(6)) + -2.5 * (Z(3) @ Z(7)) + -3.0 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(6)) + 0... | 15 | 8 | 1 | {"smallest_eigenvalues": [-27.5, -27.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -26.5, "smallest_bitstrings": ["00000000", "11000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.0022) q[0];
ry(0.0022) q[1];
ry(0.0021) q[2];
ry(0.002) q[3];
ry(0.0018) q[4];
ry(0.0022) q[5];
ry(0.0019) q[6];
ry(0.0025) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
ry(x0) q[0];
ry(x0) q[1];
ry(x1) q[2];
ry(x2) q[3];
ry(x3) q[4];
ry(x0) q[5];
ry... | {"node": 1} | {"circuits": [], "gradients": []} |
db350f4c6cc12fe7a27604bdeac9089b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 1, ... | {"states": [1, 3], "expectation_value": -10.191566208765225, "params": null, "bitstrings": ["11111110", "11111100"], "total_optimization_steps": 26, "probabilities": [0.4124944454805767, 0.42588535922311377], "optimization_time": 27.056321620941162} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(3) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + 1.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + -1.75 * Z(1)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.0, -11.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["11111110", "11111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-1.5708) q[1];
ry(-1.5708) q[5];
cry(-1.5681) q[7], q[0];
ry(1.1695) q[7];
ry(-0.5526) q[0];
ry(-1.5653) q[2];
ry(-1.5708) q[3];
ry(-1.5706) q[4];
cry(0.2883) q[6], q[7];
cry(-0.1874) q[6], q[0... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
833c89e8aca800e5707fb47ea63f9088 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [28, 46], "expectation_value": -0.16942363516514644, "params": [[0.0597, 0.0692], [-0.0478, -0.0543]], "bitstrings": ["100011", "010001"], "total_optimization_steps": 10, "probabilities": [0.01866875829361824, 0.018814780210785895], "optimization_time": 2.0701684951782227} | 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];
cx q[1], q[0];
rz(0.0597) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.0597) q[4];
cx q[1], q[4];
cx q[1], q[5];
rz(0.0597) q[5];
cx q[1], q[5];
cx q[5], q[2];
rz(0.0597) q[2];
cx q[5], q[2];
cx q[5], q[3];
rz(0.0597... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(x0) q[4];
c... | null | {"circuits": [], "gradients": []} |
28867858393139810 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 3, 4, 5], [0, 1, 2, 6], [2, 3, 4, 5, 6], [1, 4, 5], [0, 2, 3, 4, 6], [0, 2, 5, 6], [0, 1, 3, 6]]} | {"states": [120, 122], "expectation_value": -1.159138703158607, "params": [[[2.9334000000000002, 0.0006000000000000001], [2.9449, 0.0078000000000000005], [2.9482, 0.0026000000000000003], [2.9044000000000003, 0.0059], [1.2848000000000002, 0.0037], [1.6006, 0.0046], [1.2156, 0.008]]], "bitstrings": ["0000111", "0000101"]... | 0.26666666666666666 * (Z(0) @ Z(2)) + 0.15000000000000002 * (Z(3) @ Z(2)) + 0.18333333333333335 * (Z(3) @ Z(0)) + 0.15000000000000002 * (Z(4) @ Z(2)) + 0.1 * (Z(4) @ Z(0)) + 0.15000000000000002 * (Z(4) @ Z(3)) + 0.18333333333333335 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(0)) + 0.1 * (Z(5) @ Z(3)) + 0.26666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.6833333333333333, -1.6833333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.6, "smallest_bitstrings": ["0000101", "1000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(2.9334) q[0];
rz(0.0006) q[0];
rx(2.9449) q[1];
rz(0.0078) q[1];
rx(2.9482) q[2];
rz(0.0026) q[2];
rx(2.9044) q[3];
rz(0.0059) q[3];
rx(1.2848) q[4];
rz(0.0037) q[4];
rx(1.6006) q[5];
rz(0.0046) q[5];
rx(1.2156) q[6];
rz(0.008) q[6];
c[0] = measure q[0];
c[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
-6014851166007240121 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 4, 5, 6], [1, 2, 4, 5], [0, 1, 3, 4, 5], [0, 2], [0, 1, 3, 5, 6], [2, 3, 5, 6]]} | {"states": [71, 58], "expectation_value": -0.4755454386338589, "params": [[0.2676], [-0.2514]], "bitstrings": ["0111000", "1000101"], "total_optimization_steps": 30, "probabilities": [0.013223006662697401, 0.013344047872126119], "optimization_time": 3.0144119262695312} | 0.15000000000000002 * (Z(1) @ Z(3)) + 0.1 * (Z(4) @ Z(3)) + 0.18333333333333335 * (Z(4) @ Z(1)) + 0.23333333333333334 * (Z(5) @ Z(3)) + 0.23333333333333334 * (Z(5) @ Z(1)) + 0.18333333333333335 * (Z(5) @ Z(4)) + 0.18333333333333335 * (Z(6) @ Z(3)) + 0.1 * (Z(6) @ Z(1)) + 0.05 * (Z(6) @ Z(4)) + 0.18333333333333335 * (Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.5999999999999999, -1.5999999999999999], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5166666666666668, "smallest_bitstrings": ["1000010", "1000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[1];
rz(0.0803) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(0.0535) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(0.0981) q[4];
cx q[1], q[4];
cx q[3], q[5];
rz(0.1249) q[5];
cx q[3], q[5];
cx q[1], 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] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
4dc7eb2b16579aab0e582a9105750b79 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target": 7}, {"source": 6, "ta... | {"states": [103, 127], "expectation_value": -0.3544601442300618, "params": [[0.0658], [-0.0594]], "bitstrings": ["0011000", "0000000"], "total_optimization_steps": 10, "probabilities": [0.009912862262879652, 0.009912862262879652], "optimization_time": 1.0249309539794922} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) | 5 | 7 | 1 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.5, "smallest_bitstrings": ["0000000", "0011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.1316) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.1974) q[2];
cx q[3], q[2];
cx q[5], q[4];
rz(-0.1974) q[4];
cx q[5], q[4];
cx q[5], q[6];
rz(-0.1974) q[6];
cx q[5], q[6];
cx q[4], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x1) q[2];
cx q[3], q[2];
cx q[5], q[4];
rz(... | {"node": 2} | {"circuits": [], "gradients": []} |
1b146c0365a13411191347bfcee6d38e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 6}, ... | {"states": [8, 40], "expectation_value": -2.2355968335945455, "params": [[0.0024000000000000002, 0.8055, 0.0023, 0.8056000000000001, 0.5594, 0.0024000000000000002, 0.005], [0.0024000000000000002, 0.8061, 0.0024000000000000002, 0.8016000000000001, 0.7858, 0.0025, 0.0005]], "bitstrings": ["1110111", "1010111"], "total_op... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(3) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(3) @ Z(1)) + -0.125 * (Z(0) @ Z(3) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3) @ Z(1) @ Z(2)) + 0.5 * (Z(1... | 10 | 7 | 1 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["1110011", "1010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.0024) q[0];
ry(0.8055) q[1];
ry(0.0023) q[2];
ry(0.8056) q[3];
ry(0.5594) q[4];
ry(0.0024) q[5];
ry(0.005) q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
cz q[0], q[6];
ry(0.0024) q[0];
ry(0.8061) q[1];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
... | null | {"circuits": [], "gradients": []} |
238da0afcff22b3cc95b712a7ad70447 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [9, 28], "expectation_value": -1.7911190192119868, "params": [[0.076, 0.0704, 0.0757, 0.0738], [-0.0855, -0.0736, -0.0781, -0.077]], "bitstrings": ["110110", "100011"], "total_optimization_steps": 10, "probabilities": [0.03664123645702376, 0.04163297823172023], "optimization_time": 5.231009244918823} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + -0.5 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z(1) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100011"]} | 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(0.076) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.076) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(0.076) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.076) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(0.076) q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
-5458348473563071078 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 6], [1, 6, 7], [3, 7], [8, 9, 1], [2, 4], [8, 2, 5], [2, 5, 7], [2, 3], [1, 2], [9, 5, 6], [9, 4], [0, 3, 6]]} | {"states": [799, 378], "expectation_value": -2.39403955475362, "params": [1.2887, 0.047900000000000005, 1.286, 0.0046, 1.198, 0.059000000000000004, 0.8646, 0.0001, 1.1129, -0.0426, 1.1272, 0.0097, 0.6879000000000001, -0.1416, 0.45880000000000004, 0.007500000000000001, 0.7383000000000001, -0.23440000000000003, 0.5169, 0... | 0.5 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.16... | 6 | 10 | 1 | {"smallest_eigenvalues": [-4.666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.333333333333333, "smallest_bitstrings": ["1010000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.2887) q[0];
rz(0.0479) q[0];
rx(1.198) q[1];
rz(0.059) q[1];
rx(1.1129) q[2];
rz(-0.0426) q[2];
rx(0.6879) q[3];
rz(-0.1416) q[3];
rx(0.7383) q[4];
rz(-0.2344) q[4];
rx(1.2943) q[5];
rz(0.1045) q[5];
rx(1.2987) q[6];
rz(0.1099) q[6];
rx(1.2943) 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": []} |
e95c8bc22a5c03425fc32d877756198b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, ... | {"states": [44, 98], "expectation_value": -0.1573957014330605, "params": [[-0.057300000000000004], [0.0721]], "bitstrings": ["1010011", "0011101"], "total_optimization_steps": 10, "probabilities": [0.008671936556881192, 0.008804309298396738], "optimization_time": 1.3666269779205322} | 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) | 1 | 7 | 1 | {"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;
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(-0.0573) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0573) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.0573) q[4];
cx q[0], q[4];
cx q[0], q[6];
rz(-0.0573) q[6];
cx q[0], q[6];
cx q[4], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(... | null | {"circuits": [], "gradients": []} |
96aa688a41503b0eea4bda42198f6281 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 13, "source": 0, "target": 5}, {"weight": 3, "source": 2, "targ... | {"states": [221, 220], "expectation_value": -20.575268838243833, "params": [[-0.0322, 0.0047], [0.0636, 0.06810000000000001]], "bitstrings": ["100100010", "100100011"], "total_optimization_steps": 10, "probabilities": [0.005230519521563606, 0.006677090303205007], "optimization_time": 3.654735565185547} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-83.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.5, "smallest_bitstrings": ["100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.2898) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2898) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2898) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2898) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
-7915630038796108903 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 4], [1, 2, 3, 4], [0, 3]]} | {"states": [3, 7], "expectation_value": -1.0449236165886708, "params": null, "bitstrings": ["11100", "11000"], "total_optimization_steps": 28, "probabilities": [0.2543727016422982, 0.30456913535381946], "optimization_time": 18.907138347625732} | 0.5 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.1250000000000001 * Z(4) + 0.0 * Z(0) + 0.125 *... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.25, -1.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.1666666666666665, "smallest_bitstrings": ["11000", "10100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cry(-1.0342) q[4], q[0];
ry(0.9138) q[4];
cry(-0.7843) q[3], q[0];
cry(1.2135) q[4], q[3];
ry(-0.3205) q[0];
cry(0.4376) q[3], q[4];
ry(0.2328) q[3];
cry(-0.121) q[2], q[0];
cry(-0.2261) q[2], q[1];
cry(-0.1969) q[1], q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) q[4], 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;\nq... |
5dad688a93671469362a3d3d00961b05 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 3}]} | {"states": [1, 5], "expectation_value": -1.258231178345175, "params": [[[0.334, 0.2293], [0.29150000000000004, -0.2574], [0.7974, 0.0037], [0.007, 0.0029000000000000002], [0.8068000000000001, 0.0038]], [[0.3342, 0.0029000000000000002], [0.2906, 0.0059], [0.7967000000000001, 0.0083], [-0.0022, 0.0068000000000000005], [0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(4) + -0.75 * Z(3) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.25, "smallest_bitstrings": ["11010", "10011", "01110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.334) q[0];
rz(0.2293) q[0];
rx(0.2915) q[1];
rz(-0.2574) q[1];
rx(0.7974) q[2];
rz(0.0037) q[2];
rx(0.007) q[3];
rz(0.0029) q[3];
rx(0.8068) q[4];
rz(0.0038) q[4];
rx(0.3342) q[0];
rz(0.0029) q[0];
rx(0.2906) q[1];
rz(0.0059) q[1];
rx(0.7967) q[2];
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": []} |
193bd74fa5c39737b189c4cd7c74ab9f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [809, 813], "expectation_value": -1.4909569269581775, "params": [0.5975, 0.5910000000000001, 0.6025, 0.6037, 0.1889, 0.189, 0.07050000000000001, 0.0755, 0.5931000000000001, 0.6012000000000001, 0.069, 0.0684, 0.6037, 0.5978, 0.4672, 0.4515, 0.19720000000000001, 0.19870000000000002, 0.5322, 0.5327000000000001,... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(1) @ Z(6)) ... | 14 | 10 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 21, "first_excited_energy": -2.0, "smallest_bitstrings": ["0011010010", "0011001010", "0010111000", "0010110100", "0010110010", "0101... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.5975) q[0];
ry(0.6025) q[1];
ry(0.1889) q[2];
ry(0.0705) q[3];
ry(0.5931) q[4];
ry(0.069) q[5];
ry(0.6037) q[6];
ry(0.4672) q[7];
ry(0.1972) q[8];
ry(0.5322) q[9];
crx(0.5915) q[9], q[0];
crx(-0.1654) q[8], q[9];
crx(-0.2444) q[7], q[8];
crx(-0.0206) 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": []} |
adf83a7a772b7f772a66d54f36fd7522 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.6247895622686361, "params": [[0.06910000000000001, 0.0717], [-0.0753, -0.0656]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.0070381691758332554, 0.0074353460552944875], "optimization_time": 3.96793270111084} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
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(-0.0346) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.1382) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0346) q[3];
cx q[0], q[3];
cx q[1], q[6];
rz(-0.1382) q[6];
cx q[1], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
dc8ac5f82febba9dcace181eb5c76eb3 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": ... | {"states": [22, 21], "expectation_value": -0.12666166440507431, "params": [[-0.0478, -0.0105], [0.0671, 0.0194]], "bitstrings": ["101001", "101010"], "total_optimization_steps": 10, "probabilities": [0.01700148345481107, 0.017259686240850856], "optimization_time": 4.180830717086792} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["101001", "101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0478) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0478) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0478) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.0478) q[3];
cx q[0], q[3];
cx q[2], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
1a8155b224db54664a68f055f033253f | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 1, "target": 3}]} | {"states": [55230, 47070], "expectation_value": -7.567860877314589, "params": [[0.0589, 0.059000000000000004, 0.012100000000000001], [-0.0785, -0.0892, -0.0577]], "bitstrings": ["0010100001000001", "0100100000100001"], "total_optimization_steps": 10, "probabilities": [8.14229863686576e-05, 8.142298651467119e-05], "opti... | 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7)... | 1 | 16 | 3 | {"smallest_eigenvalues": [-18.49999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.49999999999981, "smallest_bitstrings": ["0100100000100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[0], q[2];
rz(0.0589) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.0589) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.0589) 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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 0}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 3}]}} | {"circuits": [], "gradients": []} |
8690fd0aab2ac7c5b0518bfd469c5549 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target":... | {"states": [60, 28], "expectation_value": -10.094951346655533, "params": [0.0043, 0.0018000000000000002, 0.0041, 0.0039000000000000003, 0.1904, 0.1965, 0.2373, 0.19840000000000002, 0.7956000000000001, 0.5248, 0.8123, 0.8097000000000001, 0.8067000000000001, 0.8099000000000001, 0.804, 0.8002, 0.0008, 0.0023, -0.003, -0.0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(1) ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-11.5, -11.5, -11.5, -11.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -10.5, "smallest_bitstrings": ["1111000111", "1111100011", "1110101011", "1101010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0043) q[0];
ry(0.0041) q[1];
ry(0.1904) q[2];
ry(0.2373) q[3];
ry(0.7956) q[4];
ry(0.8123) q[5];
ry(0.8067) q[6];
ry(0.804) q[7];
ry(0.0008) q[8];
ry(-0.003) q[9];
crx(0.1987) q[9], q[0];
crx(-0.2015) q[8], q[9];
crx(0.0125) q[7], q[8];
crx(0.686) 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": []} |
3a96def0087bb3e839e31265faaf073e | 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": 7}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target":... | {"states": [0, 1023], "expectation_value": -7.586451333531439, "params": [[[-0.0193, -0.8827], [0.0019, -0.0064], [0.0029000000000000002, 0.0028], [0.0021000000000000003, 0.0028], [0.003, 0.002], [0.0023, -0.0024000000000000002], [0.0024000000000000002, 0.0021000000000000003], [0.0028, 0.0023], [0.0023, -0.002100000000... | -0.25 * (Z(0) @ Z(8)) + -0.5 * (Z(1) @ Z(5)) + -0.25 * (Z(6) @ Z(8)) + -0.5 * (Z(6) @ Z(1)) + -0.75 * (Z(10) @ Z(8)) + -0.5 * (Z(10) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(10)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(10)) + -0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 15 | 11 | 3 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0193) q[0];
ry(0.0019) q[1];
ry(0.0029) q[2];
ry(0.0021) q[3];
ry(0.003) q[4];
ry(0.0023) q[5];
ry(0.0024) q[6];
ry(0.0028) q[7];
ry(0.0023) q[8];
ry(-1.4444) q[9];
ry(0.0073) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
d84f9d44a9dfbf26b97835693b75dc35 | 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": 7, "source": 0, "target": 2}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 6, "source": 2, "target": 4... | {"states": [74, 11], "expectation_value": -10.911873809313136, "params": null, "bitstrings": ["0110101", "1110100"], "total_optimization_steps": 42, "probabilities": [0.060939195303113376, 0.804994725968748], "optimization_time": 34.3759069442749} | -1.75 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -1.75 * Z(2) + -0.25 * Z(0) + 1.0 * Z(1) + 0.5 * Z(3) + -0.75 * Z(4) + 0.75 * Z(6) + 0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["1110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[2];
ry(-1.5708) q[4];
cry(-1.5708) q[6], q[0];
ry(1.0958) q[6];
ry(-0.581) q[0];
cry(1.5708) q[6], q[3];
ry(-1.5691) q[1];
cry(1.5646) q[3], q[5];
cry(0.2734) q[3], q[6];
cry(-0.0859) 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];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
519c34a92d635f5d0d1d5056f186a00b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "s... | {"states": [89, 81], "expectation_value": -6.180150561043261, "params": [0.0098, 0.3437, -0.021400000000000002, 0.0623, 0.0015, 1.4846000000000001, -0.0037, 1.5248000000000002, -0.49960000000000004, 1.683, 0.41090000000000004, 0.8126, 0.0033, 0.9369000000000001, 0.001, 1.3505, -0.5229, 1.3494000000000002, 0.5038, 0.724... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(2)) + 1.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(2)) + -0.5 * (Z(8) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.25 * (Z(3) ... | 6 | 9 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000010", "100000000", "110000000", "110000010", "110101110", "110100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0098) q[0];
rz(0.3437) q[0];
rx(0.0015) q[1];
rz(1.4846) q[1];
rx(-0.4996) q[2];
rz(1.683) q[2];
rx(0.0033) q[3];
rz(0.9369) q[3];
rx(-0.5229) q[4];
rz(1.3494) q[4];
rx(-0.5352) q[5];
rz(0.6961) q[5];
rx(-0.0028) q[6];
rz(1.4142) q[6];
rx(-0.0092) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
dd5fc1f9f83fb22d203285a7c9a347ac | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 6, "target":... | {"states": [504, 507], "expectation_value": -8.540039435512902, "params": null, "bitstrings": ["000000111", "000000100"], "total_optimization_steps": 99, "probabilities": [0.15796936481557902, 0.4729286822727073], "optimization_time": 125.28729343414307} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(6) | 5 | 9 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["000000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(1.5681) q[1], q[2];
ry(1.0829) q[1];
cry(1.5701) q[2], q[0];
ry(0.3995) q[2];
cry(1.5681) q[5], q[3];
ry(1.0829) q[5];
cry(1.5701) q[3], q[4];
ry(0.3995) q[3];
cry(1.5486) q[7], q[8];
... | null | {"node": 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];\ncry(1.5681) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... |
21fb824db9d4571acc6db752df147323 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 8, "source": 0, "t... | {"states": [243, 182], "expectation_value": -19.180367530547404, "params": [[0.0337, 0.0154], [-0.065, -0.0707]], "bitstrings": ["100001100", "101001001"], "total_optimization_steps": 10, "probabilities": [0.006674265220124461, 0.007552354470369742], "optimization_time": 3.6729676723480225} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) @ Z(8)) + 11.5 * Z(1) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["101001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.3033) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3033) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(0.3033) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.3033) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
-3157302381660211115 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 5], [3, 6], [0, 5], [8, 5], [1, 3], [1, 6], [0, 7], [8, 7], [1, 2], [3, 4], [5, 7], [2, 6], [1, 4], [0, 8], [2, 5]]} | {"states": [348, 284], "expectation_value": -1.4119314279733781, "params": [1.1971, -0.07590000000000001, 0.9129, 0.0077, 1.1935, 0.3037, 0.8745, 0.009000000000000001, 0.9347000000000001, 0.3126, 0.5424, 0.01, 0.8505, 0.5189, 0.4642, 0.0037, 1.1918, 0.12010000000000001, 1.0766, 0.0045000000000000005, 1.1878, -0.0837000... | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) ... | 5 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["000011101", "000011110", "111100010", "111100001", "011100011", "100011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.1971) q[0];
rz(-0.0759) q[0];
rx(1.1935) q[1];
rz(0.3037) q[1];
rx(0.9347) q[2];
rz(0.3126) q[2];
rx(0.8505) q[3];
rz(0.5189) q[3];
rx(1.1918) q[4];
rz(0.1201) q[4];
rx(1.1878) q[5];
rz(-0.0837) q[5];
rx(1.1957) q[6];
rz(0.1111) q[6];
rx(1.1843) 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": []} |
9aafe0580999b1b0b4b8e8eda0d2bc18 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [2, 3], "expectation_value": -10.685735496095543, "params": [[[0.1497, 0.2296], [0.19340000000000002, 0.2165], [0.1991, -0.21660000000000001], [0.1832, -0.2204], [0.5837, 0.001], [0.5268, -0.0018000000000000002]], [[0.1531, 0.2296], [0.1913, 0.2165], [0.1978, -0.216], [0.1812, -0.2205], [0.5844, 0.001], [0.5... | 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 | 6 | 3 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.1497) q[0];
rz(0.2296) q[0];
rx(0.1934) q[1];
rz(0.2165) q[1];
rx(0.1991) q[2];
rz(-0.2166) q[2];
rx(0.1832) q[3];
rz(-0.2204) q[3];
rx(0.5837) q[4];
rz(0.001) q[4];
rx(0.5268) q[5];
rz(-0.0018) q[5];
rx(0.1531) q[0];
rz(0.2296) q[0];
rx(0.1913) 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": 4} | {"circuits": [], "gradients": []} |
44f2999396e93485f9b2b45d8a91217a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capac... | {"states": [17, 1], "expectation_value": -1.1655769650367687, "params": [[0.054900000000000004], [-0.044700000000000004]], "bitstrings": ["1111101110", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0013986165108855044, 0.0015132258192824348], "optimization_time": 3.641512155532837} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -1.25 * (Z(6) @ Z(4)) + 3.5 * (Z(9) @ Z(0)) + -1.25 * (Z(9) @ Z(6)) + -0.75 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-28.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.25, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(-0.0275) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0824) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.0824) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(-0.1098) q[3];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
3edaf02080dd4f2f34de124f69ca8c1c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [66, 68], "expectation_value": -6.473037878557627, "params": null, "bitstrings": ["0111101", "0111011"], "total_optimization_steps": 18, "probabilities": [0.07436440049462849, 0.8991250369531288], "optimization_time": 15.072770357131958} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.5, "smallest_bitstrings": ["1101011", "0011111", "0111011", "1110101", "0111101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[6];
ry(-1.5708) q[3];
ry(-1.5681) q[2];
ry(-1.4449) q[1];
ry(1.4449) q[0];
cry(-1.0398) q[4], q[5];
ry(0.6944) q[4];
ry(-0.451) q[5];
cry(0.4963) q[0], q[4];
cry(-0.3778) q[0], q[5];
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[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
58c515fe341b1592186b5def2da8a2f8 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [202, 218], "expectation_value": -85.97315395339618, "params": [[[0.7039000000000001, 0.13970000000000002], [0.1315, 0.1245], [0.6917, 0.3617], [0.5262, 0.4807], [0.2838, 0.30720000000000003], [0.0555, 0.0864], [0.5595, 0.6792], [0.0102, 0.6438], [0.2031, 0.46890000000000004], [0.5637, -0.0246]], [[0.6888000... | 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(0) @ Z(3)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(8) @ Z(6)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(5) @ Z(7)) + 6.5 * (Z(5) @ Z(8)) + 6.5 * (Z(9) @ Z(8)) + 14.5 * Z(2) + -5.5 * Z(1) + 6.0 * ... | 15 | 10 | 4 | {"smallest_eigenvalues": [-108.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -101.0, "smallest_bitstrings": ["1100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.7039) q[0];
ry(0.1315) q[1];
ry(0.6917) q[2];
ry(0.5262) q[3];
ry(0.2838) q[4];
ry(0.0555) q[5];
ry(0.5595) q[6];
ry(0.0102) q[7];
ry(0.2031) q[8];
ry(0.5637) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
-8897099806926475842 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 4, 5, 6], [0, 1, 2, 5, 6], [0, 4, 5], [3, 4, 6], [2, 3, 5, 6], [2, 3, 4], [1, 3, 6], [0, 1, 2, 4]]} | {"states": [91, 55], "expectation_value": -1.2223917757613345, "params": [[0.3768], [-0.36610000000000004]], "bitstrings": ["0100100", "1001000"], "total_optimization_steps": 40, "probabilities": [0.021368338442771376, 0.02204449586491865], "optimization_time": 1.7699501514434814} | 0.18333333333333335 * (Z(1) @ Z(2)) + 0.3 * (Z(4) @ Z(2)) + 0.13333333333333333 * (Z(4) @ Z(1)) + 0.18333333333333335 * (Z(5) @ Z(2)) + 0.1 * (Z(5) @ Z(1)) + 0.21666666666666667 * (Z(5) @ Z(4)) + 0.18333333333333335 * (Z(6) @ Z(2)) + 0.26666666666666666 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(4)) + 0.18333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0333333333333337], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9000000000000004, "smallest_bitstrings": ["1001000"]} | 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[1];
rz(0.1382) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(0.2261) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(0.1005) q[4];
cx q[1], q[4];
cx q[2], q[5];
rz(0.1382) q[5];
cx q[2], q[5];
cx q[1], 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] 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": []} |
7d6ca7bcb082771e20acb1517cc99090 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 6, "source": 2, "target": 3}, {"weight": 14, "source": 2, "target": 4}, {"weight": 17, "source": 2, "targ... | {"states": [126, 118], "expectation_value": -36.972265922355305, "params": [[-0.0448, 0.0095, 0.0036000000000000003, 0.0109], [0.08080000000000001, 0.0553, 0.06420000000000001, 0.0627]], "bitstrings": ["110000001", "110001001"], "total_optimization_steps": 10, "probabilities": [0.0125652649073535, 0.013686421476025898]... | 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-85.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["110001001"]} | 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[1];
rz(-0.4032) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.4032) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.4032) q[3];
cx q[1], q[3];
cx q[1], q[4];
rz(-0.4032) q[4];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
-3775562683596928461 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 5, 7], [8, 0, 2], [0, 2, 4], [6, 7], [3, 4], [1, 3, 5], [0, 5], [4, 5], [8, 5], [1, 7], [0, 1, 3], [2, 3], [5, 6], [8, 0, 3], [0, 6], [2, 6]]} | {"states": [298, 362], "expectation_value": -1.2547514349963287, "params": [[-0.232], [0.24350000000000002]], "bitstrings": ["011010101", "010010101"], "total_optimization_steps": 30, "probabilities": [0.006729442169209346, 0.006833138517987722], "optimization_time": 4.368335247039795} | 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.5 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(8)) + 0.5 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(4) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.666666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.333333333333332, "smallest_bitstrings": ["010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[2];
rz(-0.0773) q[2];
cx q[5], q[2];
cx q[5], q[7];
rz(-0.0773) q[7];
cx q[5], q[7];
cx q[2], q[7];
rz(-0.0773) q[7];
cx q[2], q[7];
cx q[5], q[8];
rz(-0.232) q[8];
cx q[5], q[8... | 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[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[5], q[7];
rz(x0) q[7... | null | {"circuits": [], "gradients": []} |
5469224300817391751 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 3, 4, 5], [0, 2], [1, 6]]} | {"states": [77, 31], "expectation_value": -0.0274866879256978, "params": [[-0.08080000000000001], [0.0786]], "bitstrings": ["0110010", "1100000"], "total_optimization_steps": 10, "probabilities": [0.008269024881027789, 0.008269366202084686], "optimization_time": 3.3001677989959717} | 0.05 * (Z(0) @ Z(1)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(3) @ Z(0)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(4) @ Z(0)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.09999999999999998 * Z(1) + 0.099999999999999... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002], "number_of_smallest_... | 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(-0.0081) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0081) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0081) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.0081) q[4];
cx q[1], q[4];
cx q[0], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(... | null | {"circuits": [], "gradients": []} |
788893f2d0502b688315a8e438b63984 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 7, "s... | {"states": [253, 255], "expectation_value": -8.416181428221824, "params": null, "bitstrings": ["100000010", "100000000"], "total_optimization_steps": 100, "probabilities": [0.18559397922120133, 0.2781558327462927], "optimization_time": 218.37330198287964} | -0.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(0)) + 4.25 * (Z(8) @ Z(0)) + -1.5 * (Z(8) @ Z(6)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.75 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(2)) + -1.5 * (Z(7) @ Z(6)) + -1.75 * (Z(7) @ Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-22.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5708) q[6];
cry(1.5708) q[6], q[7];
cry(1.57) q[6], q[8];
cry(1.2796) q[7], q[5];
ry(1.5167) q[3];
cry(-1.5708) q[8], q[0];
ry(-1.0459) q[5];
cry(0.0001) q[6], q[5];
cry(0.0007) q[3],... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
fa12f3a697c97a90a7d75ad197dde7b9 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 5}]} | {"states": [34, 42], "expectation_value": -0.34691293229573883, "params": [[0.059500000000000004, 0.0551, 0.0563, 0.07350000000000001], [-0.0636, -0.048, -0.0388, -0.052000000000000005]], "bitstrings": ["011101", "010101"], "total_optimization_steps": 10, "probabilities": [0.021201734970230837, 0.026910191112320958], "... | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(2) @ Z(4)) + 0.0 * Z(0) + 0.0 * Z... | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["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[2], q[0];
rz(0.0298) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(0.0298) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz(0.0298) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0298) q[0];
cx q[1], q[0];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} |
eee150816444ab6c0c032eb91552e06d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [230, 118], "expectation_value": -18.289470257582643, "params": [[0.0224, 0.0148], [-0.0609, -0.0799]], "bitstrings": ["00011001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.009897362425892602, 0.01230462520713619], "optimization_time": 3.0402424335479736} | 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 6.5 * Z(0) + 14.5 * Z(3) + 16.0 * ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.0, "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[0], q[3];
rz(0.2016) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(0.2016) q[1];
cx q[0], q[1];
cx q[3], q[1];
rz(0.2016) q[1];
cx q[3], q[1];
cx q[0], q[2];
rz(0.2016) q[2];
cx q[0], q[2];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
66118b4a39d9f94415b36602b745f3db | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1... | {"states": [64, 63], "expectation_value": -0.38086036847892585, "params": [[0.0734, 0.0786], [-0.07740000000000001, -0.0805]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.012196340504605135, 0.012943545439200971], "optimization_time": 2.6502370834350586} | -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 | 2 | {"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];
cx q[4], q[0];
rz(-0.0367) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.1101) q[1];
cx q[4], q[1];
cx q[4], q[5];
rz(-0.0367) q[5];
cx q[4], q[5];
cx q[1], q[5];
rz(-0.0734) q[5];
cx q[1], q[5];
cx q[4], q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
600a12ed8acc1493d24fddbcbeff68c8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capac... | {"states": [0, 1], "expectation_value": -12.118070146680804, "params": [-0.0006000000000000001, 0.1622, 0.0059, 0.2156, 0.0002, 0.2316, -0.0015, 0.2369, -0.001, 0.22440000000000002, -0.0028, 0.2177, 0.0053, 0.2225, 0.0047, 0.225, -0.0036000000000000003, 0.2381, 0.0005, 0.2379, -0.0068000000000000005, 0.1769, 0.0015, 0.... | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(8) @ Z(2)) + -1.25 * (Z(8) @ Z(5)) + -0.5 * (Z(8) @ Z(3)) + 2.25 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(3)) + -0.5 * (Z(9) ... | 6 | 10 | 3 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -13.0, "smallest_bitstrings": ["1110101100", "1110101000", "1110100000", "1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0006) q[0];
rz(0.1622) q[0];
rx(0.0002) q[1];
rz(0.2316) q[1];
rx(-0.001) q[2];
rz(0.2244) q[2];
rx(0.0053) q[3];
rz(0.2225) q[3];
rx(-0.0036) q[4];
rz(0.2381) q[4];
rx(-0.0068) q[5];
rz(0.1769) q[5];
rx(0.0012) q[6];
rz(0.1972) q[6];
rx(0.0024) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
5677971246915855506 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[9, 6], [0, 1], [3, 12, 5], [11, 12], [1, 10], [3, 5, 7], [0, 7], [8, 1, 5], [9, 1], [3, 12, 6], [8, 3, 5], [0, 8], [2, 4, 5], [2, 5, 7], [9, 10, 7], [8, 7], [2, 3], [4, 6], [8, 2, 4]]} | {"states": [2801, 3313], "expectation_value": -2.9761955169832097, "params": [0.2936, 0.32480000000000003, 0.2913, 0.009600000000000001, 1.1061, -0.02, 1.0962, 0.0008, 0.7631, 0.0438, 0.7603000000000001, 0.0089, 0.8636, 0.1355, 0.6753, -0.1602, 0.7325, -0.11130000000000001, 0.7332000000000001, 0.0089, 1.0929, 0.0047, 1... | 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(12) @ Z(6)) + 0.3333333333333333 * (Z(12) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(12)) + 0.5 * (Z(11) @ Z(12)) + 0.16666666666666... | 8 | 13 | 1 | {"smallest_eigenvalues": [-5.999999999999999, -5.999999999999999, -5.999999999999999], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.666666666666667, "smallest_bitstrings": ["0110001100010", "0110001100001", "1001100001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.2936) q[0];
rz(0.3248) q[0];
rx(1.1061) q[1];
rz(-0.02) q[1];
rx(0.7631) q[2];
rz(0.0438) q[2];
rx(0.8636) q[3];
rz(0.1355) q[3];
rx(0.7325) q[4];
rz(-0.1113) q[4];
rx(1.0929) q[5];
rz(0.0047) q[5];
rx(1.0961) q[6];
rz(-0.0001) q[6];
rx(1.1033) 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": []} |
b8c7e79af4682218bd30d0f5613d6971 | 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": 6}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [62, 60], "expectation_value": -5.190182587350666, "params": [0.0001, 0.1802, 0.0033, 0.1829, -0.0027, 0.1825, 0.006, 0.19290000000000002, 0.29450000000000004, 0.0004, 0.30360000000000004, 0.0412, 0.3033, 0.0016, 0.3007, -0.001, 0.24710000000000001, 0.0073, 0.2447, 0.0074, 0.2992, 0.0015, 0.30720000000000003... | 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(6) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + -2.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + ... | 7 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["11000011", "11001001", "11101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0001) q[0];
rz(0.1802) q[0];
rx(-0.0027) q[1];
rz(0.1825) q[1];
rx(0.2945) q[2];
rz(0.0004) q[2];
rx(0.3033) q[3];
rz(0.0016) q[3];
rx(0.2471) q[4];
rz(0.0073) q[4];
rx(0.2992) q[5];
rz(0.0015) q[5];
rx(0.1493) q[6];
rz(-0.0386) q[6];
rx(0.0019) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
d30c0386d8d3b385abfc19e03f7b5ca3 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [302, 430], "expectation_value": -2.9844375171592286, "params": [0.8016000000000001, -0.001, 0.4214, -0.0056, 0.0033, 0.5497000000000001, 0.6143000000000001, 0.1107, 0.091, 0.5859, 0.9243, 0.0999, 0.7883, 0.0451, 0.7913, 0.0178, -0.0016, -0.5503, 0.7839, -0.0001, 0.41700000000000004, -0.0098, 0.0047, 0.5392,... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (... | 16 | 9 | 4 | {"smallest_eigenvalues": [-3.4375, -3.4375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.4375, "smallest_bitstrings": ["010001001", "001010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.8016) q[0];
rz(-0.001) q[0];
rx(0.4214) q[1];
rz(-0.0056) q[1];
rx(0.0033) q[2];
rz(0.5497) q[2];
rx(0.6143) q[3];
rz(0.1107) q[3];
rx(0.091) q[4];
rz(0.5859) q[4];
rx(0.9243) q[5];
rz(0.0999) q[5];
rx(0.7883) q[6];
rz(0.0451) q[6];
rx(0.7913) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input floa... | null | {"circuits": [], "gradients": []} |
a07052543e953a2a9ccbe44162c2c07e | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [337, 849], "expectation_value": -137.74807148035092, "params": [[0.0032, 0.18530000000000002, 0.3904, 0.792, 0.0019, 0.6338, 0.0538, 0.6335000000000001, 0.0066, 0.0026000000000000003, 0.0687, 0.7689], [0.0031000000000000003, -0.0328, -0.0134, 0.38370000000000004, 0.005, 0.6299, 0.07200000000000001, 0.6391, ... | 8.5 * (Z(2) @ Z(3)) + 8.5 * (Z(1) @ Z(3)) + 8.5 * (Z(1) @ Z(2)) + 8.5 * (Z(4) @ Z(5)) + 8.5 * (Z(6) @ Z(2)) + 8.5 * (Z(7) @ Z(3)) + 8.5 * (Z(7) @ Z(6)) + 8.5 * (Z(8) @ Z(5)) + 8.5 * (Z(10) @ Z(3)) + 8.5 * (Z(10) @ Z(7)) + 8.5 * (Z(11) @ Z(3)) + 8.5 * (Z(11) @ Z(7)) + 8.5 * (Z(11) @ Z(10)) + 33.5 * Z(3) + 16.5 * Z(2) + ... | 10 | 12 | 4 | {"smallest_eigenvalues": [-159.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -150.0, "smallest_bitstrings": ["110010101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0032) q[0];
ry(0.1853) q[1];
ry(0.3904) q[2];
ry(0.792) q[3];
ry(0.0019) q[4];
ry(0.6338) q[5];
ry(0.0538) q[6];
ry(0.6335) q[7];
ry(0.0066) q[8];
ry(0.0026) q[9];
ry(0.0687) q[10];
ry(0.7689) q[11];
cz q[11], q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} |
c0497b20d0e680cacc77174a13e8b8b4 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [87, 23], "expectation_value": -3.1070433837157587, "params": [-0.0009000000000000001, 0.37270000000000003, -0.0024000000000000002, 0.3785, 0.2388, 0.2584, 0.22660000000000002, 0.2992, -0.010700000000000001, 0.2923, -0.0109, 0.3032, 0.49770000000000003, 0.0683, 0.49100000000000005, 0.0178, 0.004, 0.2818, 0.0... | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(1) @ Z(5)) + -0.125 * (Z(3) @ Z(1) @ Z(6)) + -0.125 * (Z(1) @ Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(5) @ Z(6)) + 0.12... | 7 | 8 | 3 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.375, "smallest_bitstrings": ["10110010", "10101100", "10111000", "11001001", "11001100", "11101000", "10101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0009) q[0];
rz(0.3727) q[0];
rx(0.2388) q[1];
rz(0.2584) q[1];
rx(-0.0107) q[2];
rz(0.2923) q[2];
rx(0.4977) q[3];
rz(0.0683) q[3];
rx(0.004) q[4];
rz(0.2818) q[4];
rx(0.4859) q[5];
rz(0.0318) q[5];
rx(0.4937) q[6];
rz(0.006) q[6];
rx(0.5023) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
-2518032784570385521 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 6], [2, 7], [2, 3, 4], [8, 2], [8, 1], [1, 3, 6], [0, 4, 6], [3, 4, 7], [8, 4, 5], [3, 5], [0, 2], [1, 2, 4], [8, 7]]} | {"states": [254, 222], "expectation_value": -2.4485250624616595, "params": [0.405, 0.3931, 1.2923, 1.2941, 1.2877, 1.2922, 0.7207, 0.687, 1.2929000000000002, 1.2998, 1.2885, 1.0025, 1.2931000000000001, 1.2965, 1.2932000000000001, 1.2950000000000002, 0.2758, 0.2785, 0.1236, 1.0475, 1.0012, 0.25020000000000003, 0.9192, 0... | 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.3333333333333333 * (Z(4) @ Z(2)) + 0.166... | 14 | 9 | 1 | {"smallest_eigenvalues": [-4.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.833333333333334, "smallest_bitstrings": ["100100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.405) q[0];
ry(1.2923) q[1];
ry(1.2877) q[2];
ry(0.7207) q[3];
ry(1.2929) q[4];
ry(1.2885) q[5];
ry(1.2931) q[6];
ry(1.2932) q[7];
ry(0.2758) q[8];
crx(0.1236) q[8], q[0];
crx(-0.3453) q[7], q[8];
crx(0.8998) q[6], q[7];
crx(1.0743) q[5], q[6];
crx(-0.1095... | OPENQASM 3.0;
include "stdgates.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": []} |
d6ef88caa86def69cf0a93d5f7ae1334 | min_cut | 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": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 4, "source": 3, "target": 1}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [0, 15], "expectation_value": -3.496888765437587, "params": [0.4035, 0.5916, -0.0027, 0.9217000000000001, 0.0323, 1.5188000000000001, -0.0058000000000000005, 0.6950000000000001, -0.4433, 1.3413000000000002, 0.7398, 0.3291, 0.7839, -0.24080000000000001, -0.0029000000000000002, 1.5698, 0.0058000000000000005, 1... | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -1.0 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + 2.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(2) + -0.5 * Z(4) + -1.0 * Z(1) + -0.25 * Z(5) | 4 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000", "110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.4035) q[0];
rz(0.5916) q[0];
rx(-0.0027) q[1];
rz(0.9217) q[1];
rx(0.0323) q[2];
rz(1.5188) q[2];
rx(-0.0058) q[3];
rz(0.695) q[3];
rx(-0.4433) q[4];
rz(1.3413) q[4];
rx(0.7398) q[5];
rz(0.3291) q[5];
crx(-0.3285) q[5], q[4];
crx(-0.0908) q[4], q[3];
crx(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
02575a12c565dc28617818fe7f0b4a99 | 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": 19, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 11, "source": 1, "target": 3}, {... | {"states": [124, 118], "expectation_value": -16.388734584859336, "params": [[0.0129, 0.0196, 0.0024000000000000002], [-0.0344, -0.0545, -0.052700000000000004]], "bitstrings": ["10000011", "10001001"], "total_optimization_steps": 10, "probabilities": [0.00941632153194095, 0.009886426321063733], "optimization_time": 7.27... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(5)) + 9.5 * Z(1) + 7.5 * Z(0) + 13.5 * Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -52.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.1032) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1032) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1032) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.1032) q[3];
cx q[0], q[3];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
726a5ae01318539d56f80c3be6bbd791 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [5, 36], "expectation_value": -4.473039785707444, "params": null, "bitstrings": ["111010", "011011"], "total_optimization_steps": 17, "probabilities": [0.0743643311544431, 0.8991266787931326], "optimization_time": 12.959661483764648} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["011011", "101101", "111010", "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(-1.5708) q[4];
ry(-1.4449) q[2];
ry(1.4449) q[3];
cry(-1.0398) q[0], q[5];
ry(0.6944) q[0];
ry(-0.451) q[5];
cry(0.4963) q[3], q[0];
cry(-0.3778) q[3], q[5];
cry(-0.1177) q[3], q[2];
cry(0.10... | 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... |
26d7f56e59bfdf48052023802b40605b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [17, 28], "expectation_value": -0.4183326692006737, "params": [[0.0684, 0.07350000000000001, 0.07250000000000001], [-0.041800000000000004, -0.0599, -0.06470000000000001]], "bitstrings": ["01110", "00011"], "total_optimization_steps": 10, "probabilities": [0.04256184366448154, 0.0460593563467271], "optimizati... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(3) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["00011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(0.0684) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.0684) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(0.0684) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(0.0684) q[4];
cx q[1], q[4];
cx q[4], q[2];
rz(0.0684) q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | null | {"circuits": [], "gradients": []} |
171e704e65359d5a57d8a8e54db87dfb | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 2, ... | {"states": [5, 53], "expectation_value": -9.817323037918065, "params": [-0.00030000000000000003, 1.4565000000000001, -0.0028, 1.4144, -0.3922, -1.0223, -0.6525000000000001, 0.3115, -0.0043, 1.1082, 0.8976000000000001, 0.4393, 0.0045000000000000005, 1.0507, 1.0450000000000002, -0.0016, 0.0041, 1.4338, -0.003600000000000... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + 1.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @... | 4 | 8 | 3 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["11001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0003) q[0];
rz(1.4565) q[0];
rx(-0.0028) q[1];
rz(1.4144) q[1];
rx(-0.3922) q[2];
rz(-1.0223) q[2];
rx(-0.6525) q[3];
rz(0.3115) q[3];
rx(-0.0043) q[4];
rz(1.1082) q[4];
rx(0.8976) q[5];
rz(0.4393) q[5];
rx(0.0045) q[6];
rz(1.0507) q[6];
rx(1.045) 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": 7} | {"circuits": [], "gradients": []} |
-7779120834497913470 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 5, 6, 7], [1, 11], [8, 11, 6], [11, 6, 7], [4, 7], [0, 1, 2, 7], [9, 10, 6], [1, 10, 3, 5], [2, 11, 5], [0, 1, 2, 5], [11, 5, 7], [8, 2, 4], [8, 1, 9], [8, 2, 5, 7], [9, 2, 1, 6], [10, 11], [11, 3], [8, 0, 3, 7], [8, 3, 6], [1, 2, 4], [9, 3, 6, 7], [8... | {"states": [1759, 1757], "expectation_value": -7.4731692082290655, "params": [[[0.19790000000000002, 0.0074, 0.0011, 0.0061], [0.0023, 0.8228000000000001, 1.5731000000000002, 0.0014], [3.0828, 0.0029000000000000002, 0.0045000000000000005, 0.0091], [0.0239, 0.0046, 0.0081, 0.0095], [3.0966, 0.0057, 0.0001, 0.0079], [-0.... | 0.25 * (Z(1) @ Z(7)) + 0.08333333333333333 * (Z(8) @ Z(7)) + 0.3333333333333333 * (Z(8) @ Z(1)) + 0.41666666666666663 * (Z(9) @ Z(7)) + 0.25 * (Z(9) @ Z(1)) + 0.3333333333333333 * (Z(9) @ Z(8)) + 0.3333333333333333 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(8)) + 0.3333333333333333 * (Z(3) @... | 12 | 12 | 1 | {"smallest_eigenvalues": [-7.833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.583333333333335, "smallest_bitstrings": ["100100100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.1979) q[0];
rz(0.0074) q[0];
ry(0.0023) q[1];
rz(0.8228) q[1];
ry(3.0828) q[2];
rz(0.0029) q[2];
ry(0.0239) q[3];
rz(0.0046) q[3];
ry(3.0966) q[4];
rz(0.0057) q[4];
ry(-0.0023) q[5];
rz(-0.8233) q[5];
ry(-0.0026) q[6];
rz(0.0007) q[6];
ry(1.0409) 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": []} |
7611023331787475372 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[3, 4], [0, 1], [2, 3], [2, 5]]} | {"states": [42, 26], "expectation_value": -1.730311024878611, "params": null, "bitstrings": ["010101", "100101"], "total_optimization_steps": 38, "probabilities": [0.05106793339819197, 0.7341401491662072], "optimization_time": 27.68193244934082} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0, "smallest_bitstrings": ["101010", "010101", "100101", "011010"]} | 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[2], q[3];
cry(-1.0342) q[1], q[0];
cry(-1.0342) q[2], q[5];
ry(0.7625) q[2];
cry(-0.7068) q[4], q[3];
cry(1.1319) q[2], q[4];
ry(0.7003) q[1];
cry(-0.5466) q[4], q[5];
cry(0.4138) q[4], q[2];
ry(-0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
725c9b512790b6f65e71b3c284e6ef0c | connected_components | 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": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5}]} | {"states": [0, 28], "expectation_value": -3.918918006107881, "params": [-0.5131, 0.7956000000000001, -0.2526, 0.9331, -0.5256000000000001, 0.6880000000000001, -0.4232, 1.0896000000000001, -0.507, 0.7435, -0.2497, 0.8529, -0.2184, 0.4324, 0.0432, 0.7652, -0.4965, -0.07740000000000001, -0.4798, 0.41350000000000003, 0.487... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 1.0 * Z(4) + -1.0 * Z(3) | 6 | 5 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["00000", "00011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(-0.5131) q[0];
rz(0.7956) q[0];
rx(-0.5256) q[1];
rz(0.688) q[1];
rx(-0.507) q[2];
rz(0.7435) q[2];
rx(-0.2184) q[3];
rz(0.4324) q[3];
rx(-0.4965) q[4];
rz(-0.0774) q[4];
crx(0.0779) q[4], q[3];
crx(-0.1867) q[4], q[2];
crx(-0.748) q[4], q[1];
crx(-0.8308) ... | OPENQASM 3.0;
include "stdgates.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": []} |
0615486ccb356b09654d7a8dd1e9f354 | 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": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3... | {"states": [0, 1], "expectation_value": -8.848132221829298, "params": [[[0.0035, 0.5062], [-0.0014, -0.0621], [0.0025, 0.4868], [0.0023, 0.5893], [0.0028, 0.5887], [0.6027, 0.0], [0.8118000000000001, 0.0037]], [[0.0035, 0.0073], [0.0058000000000000005, 0.0078000000000000005], [0.0023, 0.0004], [0.0023, 0.0088], [0.0028... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(4)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-10.75, -10.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1111110", "1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0035) q[0];
rz(0.5062) q[0];
rx(-0.0014) q[1];
rz(-0.0621) q[1];
rx(0.0025) q[2];
rz(0.4868) q[2];
rx(0.0023) q[3];
rz(0.5893) q[3];
rx(0.0028) q[4];
rz(0.5887) q[4];
rx(0.6027) q[5];
rz(0) q[5];
rx(0.8118) q[6];
rz(0.0037) q[6];
rx(0.0035) q[0];
rz(0.007... | OPENQASM 3.0;
include "stdgates.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": []} |
d1df537b8f7eacc6f0ca14b18760c116 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [443, 441], "expectation_value": -8.012818319661983, "params": [0.0034000000000000002, 0.6291, 0.7817000000000001, 0.0455, 0.9621000000000001, 0.1694, 0.0054, 0.4431, 0.8525, 0.0066, 0.8079000000000001, 0.025, 0.7805000000000001, 0.0018000000000000002, -0.0027, 0.6826, -0.3483, 0.0085, -0.4419, -0.0011, 0.00... | 1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z... | 18 | 10 | 4 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["1000000010", "1000000001", "1001000101", "1001000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0034) q[0];
rz(0.6291) q[0];
rx(0.7817) q[1];
rz(0.0455) q[1];
rx(0.9621) q[2];
rz(0.1694) q[2];
rx(0.0054) q[3];
rz(0.4431) q[3];
rx(0.8525) q[4];
rz(0.0066) q[4];
rx(0.8079) q[5];
rz(0.025) q[5];
rx(0.7805) q[6];
rz(0.0018) q[6];
rx(-0.0027) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
ae60e04f0d34271b888338f9a5eb66c6 | 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": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 2, "target": 7}, {"sour... | {"states": [387, 419], "expectation_value": -3.4304696483386214, "params": [[[0.9064000000000001, 0.0027], [0.9038, -0.0011], [0.0051, 0.4413], [0.8501000000000001, -0.0029000000000000002], [0.19110000000000002, -0.3423], [-0.0036000000000000003, -0.458], [0.7097, 0.040600000000000004], [0.9051, 0.0025], [0.909, -0.003... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + -1.5 * Z(5) + 0.0 * Z(0) + 0.0 * Z(1) + -1.0 * Z(3) + -1.0 * Z(2) + -0.5 * Z(6) + -1.0 * Z(7) + -0.5... | 1 | 9 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["001111000", "001011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.9064) q[0];
rz(0.0027) q[0];
rx(0.9038) q[1];
rz(-0.0011) q[1];
rx(0.0051) q[2];
rz(0.4413) q[2];
rx(0.8501) q[3];
rz(-0.0029) q[3];
rx(0.1911) q[4];
rz(-0.3423) q[4];
rx(-0.0036) q[5];
rz(-0.458) q[5];
rx(0.7097) q[6];
rz(0.0406) q[6];
rx(0.9051) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5f59fc9d0aa0f9e4890b3d6228f2f57a | 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": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 3, "s... | {"states": [255, 1], "expectation_value": -1.390544419140786, "params": [[0.068, 0.0528], [-0.07780000000000001, -0.054200000000000005]], "bitstrings": ["100000000", "111111110"], "total_optimization_steps": 10, "probabilities": [0.004279423891573067, 0.0044507198646842935], "optimization_time": 4.35990571975708} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(2)) + -1.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(6)) + 1.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-11.0, -11.0, -11.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.0, "smallest_bitstrings": ["111111110", "100100000", "100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.034) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.034) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.136) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.068) 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] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
-659816657991352392 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 4, 5], [1, 2], [4, 5, 7], [1, 6, 7], [2, 6], [8, 2, 4], [0, 1, 3], [1, 4, 7], [2, 3, 7], [8, 1, 4], [3, 4, 6]]} | {"states": [167, 175], "expectation_value": -2.4002511406822404, "params": [0.6605000000000001, 0.6552, 1.4875, 1.4912, 0.27890000000000004, 0.2795, 1.495, 1.489, 0.7244, 0.7223, 0.862, 0.8339000000000001, 1.4981, 1.4903000000000002, 1.4869, 1.4858, 1.4939, 1.4931, 0.0106, 0.0083, 0.3549, 0.0033, 0.3786, 0.0059, -0.605... | 0.5 * (Z(8) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.3333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(7) @ Z(4)) + 0.16666666666... | 13 | 9 | 1 | {"smallest_eigenvalues": [-3.3333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0000000000000013, "smallest_bitstrings": ["101010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.6605) q[0];
ry(1.4875) q[1];
ry(0.2789) q[2];
ry(1.495) q[3];
ry(0.7244) q[4];
ry(0.862) q[5];
ry(1.4981) q[6];
ry(1.4869) q[7];
ry(1.4939) q[8];
crz(0.0106) q[8], q[0];
crz(0.0005) q[7], q[8];
crz(0.0005) q[6], q[7];
crz(-0.0148) q[5], q[6];
crz(0.4437) ... | OPENQASM 3.0;
include "stdgates.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": []} |
eb2f0326c68ffb3a68d289624bdc371c | 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": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 8}, {"sour... | {"states": [394, 458], "expectation_value": -2.9571104203305305, "params": [0.2999, 0.2982, 0.3034, 0.30310000000000004, 0.29550000000000004, 0.2969, 0.1446, 0.1514, 0.039, 0.038900000000000004, 0.2989, 0.3078, 0.0449, 0.05, 0.3055, 0.2983, 0.0439, 0.0451, 0.3009, 0.2962, 0.2984, 0.2989, 0.3034, 0.2985, 0.1515, 0.1481,... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(7) @ Z(8)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.0 * Z(6) + -0.5 * Z(3) + 0.0 * Z(1) + -0.5 * Z(2) + -1.0 * Z(8) + 0.0 * Z(5) + 0.0 * Z(7) | 13 | 9 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["010010101", "000110101", "100110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.2999) q[0];
ry(0.3034) q[1];
ry(0.2955) q[2];
ry(0.1446) q[3];
ry(0.039) q[4];
ry(0.2989) q[5];
ry(0.0449) q[6];
ry(0.3055) q[7];
ry(0.0439) q[8];
crz(0.1) q[8], q[0];
crz(0.084) q[7], q[8];
crz(0.1428) q[6], q[7];
crz(0.0027) q[5], q[6];
crz(0.143) 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[... | null | {"circuits": [], "gradients": []} |
e187371d430b945e0e1d69926f02e89f | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 4, "source": 2, "target": 5}, {"capacity": 4, "source": 4, "target": 1}, {"capaci... | {"states": [4607, 6655], "expectation_value": -58.00685170818043, "params": [-0.0047, 0.6646000000000001, -0.004200000000000001, 0.6315000000000001, 0.5356000000000001, 0.011300000000000001, 0.4879, -0.0012000000000000001, -0.0016, -0.443, -0.0034000000000000002, 0.6364000000000001, 0.7886000000000001, 0.024, 0.6415000... | -0.5 * (Z(7) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(7)) + -1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(3)) + -0.5 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(7)) + -1.0 * (Z(9) @ Z(3)) + 2.0 * (Z(9) @ Z(8)) + -0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.5... | 16 | 15 | 4 | {"smallest_eigenvalues": [-59.83333333333215], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.83333333333132, "smallest_bitstrings": ["110011000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(-0.0047) q[0];
rz(0.6646) q[0];
rx(-0.0042) q[1];
rz(0.6315) q[1];
rx(0.5356) q[2];
rz(0.0113) q[2];
rx(0.4879) q[3];
rz(-0.0012) q[3];
rx(-0.0016) q[4];
rz(-0.443) q[4];
rx(-0.0034) q[5];
rz(0.6364) q[5];
rx(0.7886) q[6];
rz(0.024) q[6];
rx(0.6415) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
4b4df5d05df608c0366af92253893227 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [1, 255], "expectation_value": -0.24011686278464006, "params": [[-0.057800000000000004], [0.058600000000000006]], "bitstrings": ["111111110", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0024557231987464624, 0.002459288080033285], "optimization_time": 2.986452579498291} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(8) @ Z(1)) + 1.25 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(8)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(8)) + -0.5 * (Z(4)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.25, "smallest_bitstrings": ["100000000", "111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.0578) q[0];
cx q[1], q[0];
cx q[0], q[7];
rz(0.0578) q[7];
cx q[0], q[7];
cx q[1], q[8];
rz(0.0289) q[8];
cx q[1], q[8];
cx q[0], q[8];
rz(-0.1445) q[8];
cx q[0], q[8];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
238da0afcff22b3cc95b712a7ad70447 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [9, 28], "expectation_value": -0.2128639517745433, "params": [[0.0656], [-0.0699]], "bitstrings": ["110110", "100011"], "total_optimization_steps": 10, "probabilities": [0.0170937161186386, 0.017399494930617126], "optimization_time": 1.1886398792266846} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + -0.5 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z(1) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100011"]} | 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(0.0656) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.0656) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(0.0656) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.0656) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(0.0656... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(x0) q[4];
cx q[2], q[4];
cx ... | null | {"circuits": [], "gradients": []} |
a887d91f9606dc8ffadccd46fa1ed57b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 2}, {"capaci... | {"states": [48, 17], "expectation_value": -8.89110653955197, "params": null, "bitstrings": ["001111", "101110"], "total_optimization_steps": 28, "probabilities": [0.09024375903515425, 0.8025197132661654], "optimization_time": 17.335984706878662} | -1.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + 3.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(3)) + -2.0 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 1.5 * Z(5) + 1.0 * Z(1) + -0.75 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["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(-1.5708) q[2];
cry(-1.5708) q[5], q[0];
ry(1.0979) q[5];
ry(-0.2074) q[0];
cry(1.5574) q[5], q[1];
cry(-0.1484) q[1], q[0];
cry(-0.0982) q[1], q[5];
ry(-1.5486) q[4];
cry(0.3028) q[3], q[5];
ry(-1.2682) q[3];
... | 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[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... |
5b11de0229a9c94da08a226628629146 | 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": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"sour... | {"states": [268, 308], "expectation_value": -6.036261922501733, "params": [1.5704, 1.566, 0.0016, 0.0018000000000000002, -0.0028, -0.0026000000000000003, 0.9303, 0.7594000000000001, -0.4843, 0.0071, 1.5678, 1.5687, 1.578, 1.5595, -0.5064000000000001, 0.511, 0.0206, -0.0235, 0.12710000000000002, 0.1905, 0.00340000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) ... | 14 | 9 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["011001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.5704) q[0];
ry(0.0016) q[1];
ry(-0.0028) q[2];
ry(0.9303) q[3];
ry(-0.4843) q[4];
ry(1.5678) q[5];
ry(1.578) q[6];
ry(-0.5064) q[7];
ry(0.0206) q[8];
crx(0.1271) q[8], q[0];
crx(-0.0019) q[7], q[8];
crx(0.0013) q[6], q[7];
crx(0.119) q[5], q[6];
crx(-3.11... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
71367829fb7ce1f5a160f3ba04793161 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 1, "target": 3}, {"capac... | {"states": [1022, 507], "expectation_value": -5.442183177757206, "params": [[-0.16720000000000002], [0.1656]], "bitstrings": ["0000000001", "1000000100"], "total_optimization_steps": 20, "probabilities": [0.005423660567108454, 0.006788879058765586], "optimization_time": 3.809486150741577} | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(7)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(8) @ Z(3)) + -1.0 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @ Z(6)) + -0.5 * (Z(2) @ Z(3)) + -1.25 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(6)) + -0.5 * (Z(4) @ Z(3)) + -0.75 * (Z(4) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["1000000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[3], q[0];
rz(0.3344) q[0];
cx q[3], q[0];
cx q[0], q[7];
rz(0.2508) q[7];
cx q[0], q[7];
cx q[3], q[1];
rz(0.5016) q[1];
cx q[3], q[1];
cx q[7], q[1];
rz(0.2508) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
5668cc0f2ff388f621c56d0e233584d7 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 6, "source": ... | {"states": [0, 256], "expectation_value": -29.901132043646143, "params": [-0.3561, 0.0023, -0.044700000000000004, -0.0011, 0.0041, 0.3023, -0.0013000000000000002, 0.3023, 0.0033, 0.3033, -0.0002, 0.3131, 0.39990000000000003, 0.002, 0.4035, 0.0015, -0.0022, 0.3028, 0.005200000000000001, 0.3094, -0.0033, 0.2918, 0.0067, ... | -1.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(0)) + -1.5 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(5)) + -0.25 * (Z(11) @ Z(4)) + -0.5 * (Z(11) @ Z(0)) + -0.25 * (Z(11) @ Z(5)) + -1.0 * (Z(11) @ Z(9)) + 4.5 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(11)) + -1.5 * (Z(1) @ Z(4)) + -1.25 * (Z(1) @ Z(9)) + -0.25 * (Z(7... | 6 | 12 | 2 | {"smallest_eigenvalues": [-36.0, -36.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -31.0, "smallest_bitstrings": ["111011111101", "111011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.3561) q[0];
rz(0.0023) q[0];
rx(0.0041) q[1];
rz(0.3023) q[1];
rx(0.0033) q[2];
rz(0.3033) q[2];
rx(0.3999) q[3];
rz(0.002) q[3];
rx(-0.0022) q[4];
rz(0.3028) q[4];
rx(-0.0033) q[5];
rz(0.2918) q[5];
rx(0.0046) q[6];
rz(0.2494) q[6];
rx(-0.0034) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input fl... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
-4448313108001385495 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 6], [0, 2, 3, 4, 5], [2, 5, 7], [1, 5, 7], [3, 6, 7], [0, 1, 2], [1, 4], [0, 2, 3, 4, 7]]} | {"states": [143, 113], "expectation_value": -0.04370603458000841, "params": [[-0.0534], [0.061200000000000004]], "bitstrings": ["01110000", "10001110"], "total_optimization_steps": 10, "probabilities": [0.00412684466368792, 0.004133530197315483], "optimization_time": 2.7709736824035645} | 0.5 * (Z(2) @ Z(6)) + 0.26666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.1 * (Z(3) @ Z(2)) + 0.1 * (Z(3) @ Z(0)) + 0.1 * (Z(4) @ Z(2)) + 0.1 * (Z(4) @ Z(0)) + 0.1 * (Z(4) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(2)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(4)) + 0.166... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.533333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4000000000000004, "smallest_bitstrings": ["10001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[2];
rz(-0.0534) q[2];
cx q[6], q[2];
cx q[2], q[0];
rz(-0.0285) q[0];
cx q[2], q[0];
cx q[6], q[3];
rz(-0.0178) q[3];
cx q[6], q[3];
cx q[2], q[3];
rz(-0.0107) q[3];
cx q[2], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | null | {"circuits": [], "gradients": []} |
2fde01ebb7d3cd1daf98d95b5f19909d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 5}, {"weight": 16, "source": 0, "target": 3}, {"weight": 18, "source": 1, "target": 3}, {... | {"states": [126, 118], "expectation_value": -58.180288148910876, "params": [0.38020000000000004, 0.31470000000000004, 0.9931000000000001, -0.0001, 0.9932000000000001, -0.0023, 0.9921000000000001, 0.1308, 0.4933, 0.2752, 0.9966, -0.0078000000000000005, 0.9958, -0.0872, 0.4852, -0.24350000000000002, 0.3805, 0.31670000000... | 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(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 20.0 * Z(1) ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-70.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3802) q[0];
rz(0.3147) q[0];
rx(0.9931) q[1];
rz(-0.0001) q[1];
rx(0.9932) q[2];
rz(-0.0023) q[2];
rx(0.9921) q[3];
rz(0.1308) q[3];
rx(0.4933) q[4];
rz(0.2752) q[4];
rx(0.9966) q[5];
rz(-0.0078) q[5];
rx(0.9958) q[6];
rz(-0.0872) q[6];
rx(0.4852) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
0615486ccb356b09654d7a8dd1e9f354 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3... | {"states": [3, 1], "expectation_value": -0.3260063705201559, "params": [[0.0154, 0.056900000000000006], [-0.009600000000000001, -0.043300000000000005]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.009684584098661818, 0.0098575052611026], "optimization_time": 4.4928667545318... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(4)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-10.75, -10.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1111110", "1111100"]} | 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(-0.0231) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.0308) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.0231) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(-0.0231) q[2];
cx q[1], q[2];
cx q[4], q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
b2a86e79e509d0d76748a475959a4d60 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 6}, {"weight": 13, "source": 1, "target": 3}, {"weight": 3, "source": 2, "target": 3}, {"... | {"states": [125, 109], "expectation_value": -59.122346923384455, "params": [0.2479, 0.3546, 0.8973000000000001, 0.0001, 0.8962, 0.0568, 0.4801, 0.19920000000000002, 0.9024000000000001, 0.0028, 0.8999, 0.1222, 0.46480000000000005, 0.2732, 0.8905000000000001, 0.0952, 0.24810000000000001, 0.3392, 0.9007000000000001, 0.000... | 4.0 * (Z(0) @ Z(2)) + 4.0 * (Z(1) @ Z(2)) + 4.0 * (Z(1) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 9.5 * Z(2) +... | 18 | 8 | 3 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.2479) q[0];
rz(0.3546) q[0];
rx(0.8973) q[1];
rz(0.0001) q[1];
rx(0.8962) q[2];
rz(0.0568) q[2];
rx(0.4801) q[3];
rz(0.1992) q[3];
rx(0.9024) q[4];
rz(0.0028) q[4];
rx(0.8999) q[5];
rz(0.1222) q[5];
rx(0.4648) q[6];
rz(0.2732) q[6];
rx(0.8905) 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": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
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": [89, 90], "expectation_value": -0.16135609453041544, "params": [0.25170000000000003, 0.0649, 0.1948, 0.095, 0.4035, -0.009000000000000001, 0.4033, -0.0061, 0.4027, 0.0034000000000000002, 0.39980000000000004, -0.0009000000000000001, 0.4048, -0.0045000000000000005, 0.40340000000000004, -0.0049, 0.4039000000000... | 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 *... | 6 | 8 | 2 | {"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(0.2517) q[0];
rz(0.0649) q[0];
rx(0.4035) q[1];
rz(-0.009) q[1];
rx(0.4027) q[2];
rz(0.0034) q[2];
rx(0.4048) q[3];
rz(-0.0045) q[3];
rx(0.4039) q[4];
rz(0.0037) q[4];
rx(0.3995) q[5];
rz(-0.003) q[5];
rx(0.3996) q[6];
rz(-0.0014) q[6];
rx(0.3941) 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[... | {"communities_size": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
9c42d64a7466ccf874275fc8844c2c25 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [7, 106], "expectation_value": -1.1284812272440616, "params": [[0.0763, 0.07200000000000001, 0.068], [-0.083, -0.0728, -0.0609]], "bitstrings": ["1111000", "0010101"], "total_optimization_steps": 10, "probabilities": [0.01450928315976881, 0.015894595325993636], "optimization_time": 3.8659820556640625} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(4) + 0.0 * Z(0) + -2.0 * Z(2) + -0.5 * Z(1) + -1.0 * Z(6) + -1.0 * Z(3) + 0.0 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(0.0763) q[0];
cx q[4], q[0];
cx q[4], q[2];
rz(0.0763) q[2];
cx q[4], q[2];
cx q[2], q[1];
rz(0.0763) q[1];
cx q[2], q[1];
cx q[2], q[6];
rz(0.0763) q[6];
cx q[2], q[6];
cx q[1], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
08ced21e9f416e8feafb347a1a58a965 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4},... | {"states": [1455, 2047], "expectation_value": -12.303163432922757, "params": null, "bitstrings": ["01001010000", "00000000000"], "total_optimization_steps": 100, "probabilities": [0.09238971651051694, 0.2844197058133411], "optimization_time": 299.4600496292114} | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -3.0 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + -3.0 * (Z(6) @ Z(4)) + 1.0 * (Z(6) @ Z(3)) + -2.0 *... | 1 | 11 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["00000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cry(1.5708) q[3], q[4];
cry(1.5708) q[4], q[2];
cry(1.0832) q[2], q[3];
cry(-0.7235) q[2], q[4];
ry(-0.2538) q[4];
cry(1.3261) q[6], q[4];
cry(1.5708) q[7], q[10];
cry(1... | null | {"node": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[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[... |
2e423764229d08a5a3928f9705b0d85f | 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": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [3299, 3315], "expectation_value": -4.503119137097269, "params": [[[1.5674000000000001, 0.0027], [1.5699, -0.0028], [0.0023, 1.2763], [0.0149, -1.0581], [1.5658, 0.0018000000000000002], [1.5736, 0.0029000000000000002], [1.5696, -0.0018000000000000002], [0.7896000000000001, 0.018000000000000002], [0.002400000... | 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)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(6) @ Z(4... | 1 | 12 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["001001011000", "001100001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.5674) q[0];
rz(0.0027) q[0];
rx(1.5699) q[1];
rz(-0.0028) q[1];
rx(0.0023) q[2];
rz(1.2763) q[2];
rx(0.0149) q[3];
rz(-1.0581) q[3];
rx(1.5658) q[4];
rz(0.0018) q[4];
rx(1.5736) q[5];
rz(0.0029) q[5];
rx(1.5696) q[6];
rz(-0.0018) q[6];
rx(0.7896) 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": []} |
0880db631f670f7f3ca0bd5d242b72c4 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [65, 3], "expectation_value": -29.525977838854857, "params": null, "bitstrings": ["0111110", "1111100"], "total_optimization_steps": 64, "probabilities": [0.0971611053113901, 0.7455589992314589], "optimization_time": 78.51063394546509} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 2.75 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + ... | 15 | 7 | 3 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(5.3058) q[1];
ry(-0.2784) q[0];
ry(-0.7801) q[2];
ry(-0.4253) q[3];
ry(-1.3878) q[4];
cry(-1.2924) q[5], q[0];
cry(-1.1455) q[6], q[3];
ry(1.1155) q[5];
cry(-0.7888) q[5], q[2];
cry(-0.5931) q[5], q[1]... | null | {"k": 5} | {"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(5.3058) 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", "... |
4968717363326137033 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 5], [5, 6], [3, 5], [3, 4], [2, 3], [1, 2], [4, 5], [2, 4], [1, 6], [1, 4], [1, 5], [0, 4], [1, 3]]} | {"states": [38, 89], "expectation_value": -0.103493504193848, "params": [[-0.056400000000000006], [0.0726]], "bitstrings": ["1011001", "0100110"], "total_optimization_steps": 10, "probabilities": [0.008462291845045596, 0.008462291845045596], "optimization_time": 1.8946764469146729} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -1.5, "smallest_bitstrings": ["1110010", "0001101", "0010111", "0010110", "0100110", "0110010", "1001101", "1011001", "1101001", "1101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(-0.0564) q[0];
cx q[5], q[0];
cx q[5], q[6];
rz(-0.0564) q[6];
cx q[5], q[6];
cx q[5], q[3];
rz(-0.0564) q[3];
cx q[5], q[3];
cx q[5], q[4];
rz(-0.0564) q[4];
cx q[5], q[4];
cx q[0], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[5], q[6];
rz(x0) q[6];
cx q[5], q[6];
cx q[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[5], q[4];
... | null | {"circuits": [], "gradients": []} |
6db46fc059c6f81124803e34100362dc | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, ... | {"states": [3500, 3502], "expectation_value": -3.1162166651998375, "params": [[[-0.0044, -0.0021000000000000003], [1.0504, -0.0028], [-0.0017000000000000001, 0.0029000000000000002], [1.0865, -0.003], [0.9217000000000001, 0.006], [-0.0199, 0.0051], [1.1727, -0.1305], [-0.1505, -0.1631], [0.43710000000000004, 0.878200000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 15 | 12 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 37, "first_excited_energy": -2.5, "sm... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0044) q[0];
ry(1.0504) q[1];
ry(-0.0017) q[2];
ry(1.0865) q[3];
ry(0.9217) q[4];
ry(-0.0199) q[5];
ry(1.1727) q[6];
ry(-0.1505) q[7];
ry(0.4371) q[8];
ry(0.1423) q[9];
ry(-0.1167) q[10];
ry(-0.0065) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10... | OPENQASM 3.0;
include "stdgates.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": []} |
47007465d812e52d6cf0f90e500474b2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 3, "source": 0, ... | {"states": [85, 1], "expectation_value": -6.86619139730251, "params": [[0.069, 0.0565, 0.0505, 0.047], [-0.07050000000000001, -0.050300000000000004, -0.056100000000000004, -0.059500000000000004]], "bitstrings": ["10101010", "11111110"], "total_optimization_steps": 10, "probabilities": [0.02417733093790702, 0.0241830982... | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(0)) + -2.25 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + 3.25 * (Z(7) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -2.25 * (Z(1) @ Z(5)) + -1.0 * (Z(1) @ Z(6)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.75 * (Z(4) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-25.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "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[2], q[0];
rz(-0.1725) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(-0.1725) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.1035) q[5];
cx q[0], q[5];
cx q[2], q[6];
rz(-0.3105) q[6];
cx q[2], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} |
72d22a031a961fdad95b8a559cf9f779 | 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": [175, 173], "expectation_value": -59.45113177262161, "params": [-0.0019, 0.9143, 1.2986, 0.18580000000000002, 0.7841, 0.3866, 1.3036, 0.2454, 0.47640000000000005, 0.5317000000000001, 1.3003, 0.0007, 1.2986, 0.1613, 0.8422000000000001, 0.3684, 1.2925, 0.1821, -0.0019, 0.0013000000000000002, 1.3041, 0.0071, 0.... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(6) @ Z(2)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(6) @ Z(7)) + 5.5 * (Z(6) @ Z(8)) + 5.5 * Z(1) + -4.5 * Z(0) + 7.5 * Z(2) + 18.5 * Z(3) + 2.... | 18 | 9 | 2 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["101010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0019) q[0];
rz(0.9143) q[0];
rx(1.2986) q[1];
rz(0.1858) q[1];
rx(0.7841) q[2];
rz(0.3866) q[2];
rx(1.3036) q[3];
rz(0.2454) q[3];
rx(0.4764) q[4];
rz(0.5317) q[4];
rx(1.3003) q[5];
rz(0.0007) q[5];
rx(1.2986) q[6];
rz(0.1613) q[6];
rx(0.8422) 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], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
4cd28f9bc761b26f6d6f15aeccbaedea | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 4}, {"weight": 18, "source": 0, "target": 5}, {"weight": 20, "source": 0, "target": 3}, {... | {"states": [63, 121], "expectation_value": -30.30665998169914, "params": null, "bitstrings": ["11000000", "10000110"], "total_optimization_steps": 100, "probabilities": [0.0767581592572071, 0.16623903505297943], "optimization_time": 160.26924562454224} | 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];
ry(0.5995) q[1];
ry(-0.6772) q[2];
ry(-18.6834) q[3];
ry(62.9278) q[7];
ry(23.7596) q[0];
cry(17.8632) q[1], q[3];
ry(63.0091) q[6];
ry(22.5857) q[4];
cry(10.0739) q[1], q[2];
cry(0.9802) q[1], q[... | null | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(0.5995) 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[... |
e2466d0e59f9ae9b15e99011693e125f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [853, 855], "expectation_value": -3.003039677530921, "params": [[[1.354, 0.0001], [0.5246000000000001, -0.0046], [1.1622000000000001, 0.0023], [0.19090000000000001, 0.0031000000000000003], [0.521, 0.020900000000000002], [0.3655, 0.0374], [0.1348, 0.0863], [-0.4491, 0.7065], [0.1568, 2.0484], [0.0725000000000... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(4) @ Z(1) @ Z(2)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 15 | 11 | 2 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 20, "first_excited_energy": -2.625, "smallest_bitstrings": ["11000000110", "10001010100", "11000010... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.354) q[0];
ry(0.5246) q[1];
ry(1.1622) q[2];
ry(0.1909) q[3];
ry(0.521) q[4];
ry(0.3655) q[5];
ry(0.1348) q[6];
ry(-0.4491) q[7];
ry(0.1568) q[8];
ry(0.0725) q[9];
ry(-0.0629) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
e2a1dd8d1e083192a6b4cbfd3d9c358e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [68, 76], "expectation_value": -3.126366627737356, "params": [[1.5730000000000002, -0.013600000000000001, -0.0024000000000000002, 0.0308, 1.3475000000000001, -0.0376, -0.0024000000000000002], [1.5813000000000001, -0.0016, -0.0024000000000000002, 1.6509, 1.6927, 1.4842, -0.0024000000000000002]], "bitstrings":... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(4) @ Z(2)) + -0.125 * (Z(0) @ Z(4) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(4) @ Z(2... | 10 | 7 | 1 | {"smallest_eigenvalues": [-3.625, -3.625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.625, "smallest_bitstrings": ["0111001", "0110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(1.573) q[0];
ry(-0.0136) q[1];
ry(-0.0024) q[2];
ry(0.0308) q[3];
ry(1.3475) q[4];
ry(-0.0376) q[5];
ry(-0.0024) q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
cz q[0], q[6];
ry(1.5813) q[0];
ry(-0.0016) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
... | null | {"circuits": [], "gradients": []} |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [437, 252], "expectation_value": -3.1496689355888234, "params": null, "bitstrings": ["001001010", "100000011"], "total_optimization_steps": 66, "probabilities": [0.07857011393965474, 0.6311201347026915], "optimization_time": 172.36807894706726} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 1 | 9 | 2 | {"smallest_eigenvalues": [-3.625, -3.625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.625, "smallest_bitstrings": ["100000011", "001001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.5158) q[7];
ry(1.3013) q[6];
cry(-1.298) q[5], q[8];
ry(1.301) q[3];
ry(1.0322) q[1];
cry(-1.2368) q[2], q[0];
cry(0.5019) q[6], q[1];
ry(1.015) q[4];
cry(-0.5133) q[5], q[0];
cry(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5158) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
e61b9b6cad8366f7e670366fe202a3e7 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 4}, {"weight": 11, "source": 0, "target": 3}, {"weight": 20, "source": 1, "target": 3}, {... | {"states": [95, 122], "expectation_value": -38.68801423989735, "params": null, "bitstrings": ["10100000", "10000101"], "total_optimization_steps": 100, "probabilities": [0.08084364950683393, 0.15591172189812116], "optimization_time": 178.34245347976685} | 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(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 17.5 * Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "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];
ry(34.778) q[3];
ry(2.9174) q[1];
ry(62.9644) q[4];
ry(63.1256) q[2];
cry(-63.359) q[2], q[3];
ry(17.0178) q[6];
cry(-62.8095) q[1], q[3];
cry(6.7393) q[7], q[3];
ry(9.4026) q[5];
cry(-25.2145) q[... | null | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(34.778) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
-622633446643427899 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 2, 3, 4, 5, 6, 7, 8], [0, 1, 2, 3, 4, 5, 7, 8, 11], [1, 3, 5, 7, 10, 11], [0, 1, 2, 3, 4, 6, 7, 9, 10, 11], [0, 1, 7, 8, 9], [10, 11, 5, 6]]} | {"states": [2030, 1966], "expectation_value": -1.0959997636439378, "params": [[[0.6900000000000001, -1.0153, 0.0025, 0.0009000000000000001], [0.6017, -1.0152, 0.1744, 0.004200000000000001], [1.5686, -0.0023, 1.5699, 0.0028], [0.3774, 0.5625, -0.2306, 0.0081], [1.568, 0.001, 1.5727, 0.0094], [1.0613000000000001, 0.0964,... | 0.04285714285714286 * (Z(1) @ Z(4)) + 0.04285714285714286 * (Z(5) @ Z(4)) + 0.07619047619047618 * (Z(5) @ Z(1)) + 0.04285714285714286 * (Z(6) @ Z(4)) + 0.04285714285714286 * (Z(6) @ Z(1)) + 0.04285714285714286 * (Z(6) @ Z(5)) + 0.031746031746031744 * (Z(7) @ Z(4)) + 0.06507936507936507 * (Z(7) @ Z(1)) + 0.0650793650793... | 11 | 12 | 1 | {"smallest_eigenvalues": [-1.1619047619047622, -1.1619047619047622, -1.1619047619047622, -1.1619047619047622], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.1619047619047618, "smallest_bitstrings": ["000101000011", "100001010001", "010100100000", "101001000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.69) q[0];
rz(-1.0153) q[0];
ry(0.6017) q[1];
rz(-1.0152) q[1];
ry(1.5686) q[2];
rz(-0.0023) q[2];
ry(0.3774) q[3];
rz(0.5625) q[3];
ry(1.568) q[4];
rz(0.001) q[4];
ry(1.0613) q[5];
rz(0.0964) q[5];
ry(1.5695) q[6];
rz(-0.0016) q[6];
ry(1.7721) 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": []} |
8d84cdffc41e32c16af107cc91057474 | 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": [252, 244], "expectation_value": -65.48201288085181, "params": [0.7659, 0.3841, 1.401, 0.064, 1.3923, 0.1681, 1.3949, -0.014400000000000001, 1.3963, 0.2051, 0.7969, 0.3735, 1.3916000000000002, 0.2858, -0.011600000000000001, 0.7213, 0.0026000000000000003, 1.0185, 0.7684000000000001, 0.0088, 1.403, 0.0099, 1.3... | 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(6) @ Z(3)) + 6.0 * (Z(4) @ Z(0)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(4) @ Z(6)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(7) @ Z(6)) + 9.5 * Z(0) + 7.0 * Z(2) + 13.5 * Z(1) + 14.0 * Z(3) + 21... | 18 | 9 | 2 | {"smallest_eigenvalues": [-85.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["100001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.7659) q[0];
rz(0.3841) q[0];
rx(1.401) q[1];
rz(0.064) q[1];
rx(1.3923) q[2];
rz(0.1681) q[2];
rx(1.3949) q[3];
rz(-0.0144) q[3];
rx(1.3963) q[4];
rz(0.2051) q[4];
rx(0.7969) q[5];
rz(0.3735) q[5];
rx(1.3916) q[6];
rz(0.2858) q[6];
rx(-0.0116) 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], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
7027bf4700e2cca2b06c9dc2f8c2504b | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "... | {"states": [1023, 4095], "expectation_value": -17.212045155837885, "params": null, "bitstrings": ["110000000000", "000000000000"], "total_optimization_steps": 100, "probabilities": [0.10434695914507848, 0.362579125757906], "optimization_time": 239.42703866958618} | -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(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + -2.0 * (Z(10) @ Z(8)) + -2.0 * (Z(11) @ Z(9)) + -2.0 * (Z(11) @ Z(8)) + -2.0 * (Z(11) @ Z(10)) + -1.0 * Z(1) + 1.0... | 1 | 12 | 1 | {"smallest_eigenvalues": [-23.5, -23.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -22.5, "smallest_bitstrings": ["110000000000", "000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cry(1.5706) q[10], q[11];
cry(1.5708) q[11], q[9];
cry(1.4058) q[11], q[8];
cry(0.1741) q[11], q[10];
cry(0.0279) q[9], q[10];
ry(-0.1937) q[10];
cry(0.1998) q[... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5706) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measu... |
9c2f02be2c499f1518832ddbbd315206 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [112, 97], "expectation_value": -0.11104275612717147, "params": [[-0.0534], [0.0574]], "bitstrings": ["0001111", "0011110"], "total_optimization_steps": 10, "probabilities": [0.008344583514757918, 0.00834458351475792], "optimization_time": 1.1977152824401855} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + -2.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011110", "1001101", "1011100", "0101011", "1111000", "0111010", "0001111", "1101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(-0.0534) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(-0.0534) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(-0.0534) q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(-0.0534) q[1];
cx q[3], q[1];
cx q[1], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(x0) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(... | null | {"circuits": [], "gradients": []} |
e155e613d0da5ad0217dc455cb8fa9ba | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [33, 35], "expectation_value": -4.115614232733302, "params": [0.1559, 0.1125, 0.1542, 0.1124, 0.0039000000000000003, 0.2, 0.0045000000000000005, 0.2182, 0.4035, 0.0011, 0.39880000000000004, 0.0081, 0.0009000000000000001, 0.2427, -0.0005, 0.2401, 0.221, 0.031900000000000005, 0.21930000000000002, 0.0497, 0.003... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.5 * Z(5) + 0.0 * Z(7) + -... | 7 | 8 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -4.0, "smallest_bitstrings": ["11100110", "01010111", "01011101", "10011110", "00011111", "11111000", "11101010", "11011100", "11010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.1559) q[0];
rz(0.1125) q[0];
rx(0.0039) q[1];
rz(0.2) q[1];
rx(0.4035) q[2];
rz(0.0011) q[2];
rx(0.0009) q[3];
rz(0.2427) q[3];
rx(0.221) q[4];
rz(0.0319) q[4];
rx(0.0032) q[5];
rz(0.2385) q[5];
rx(0.3061) q[6];
rz(0.0227) q[6];
rx(0.3862) q[7];
rz(0.0072... | 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] x11;
in... | null | {"circuits": [], "gradients": []} |
117ccc69c95ca00a828c543c24e6991b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 8}, {"source": 2, "target": 4}, {"sour... | {"states": [26, 282], "expectation_value": -4.164946606576395, "params": [0.317, 0.32370000000000004, -0.017400000000000002, -0.021500000000000002, 0.0054, -0.0014, -0.0058000000000000005, -0.007500000000000001, 0.4038, 0.39790000000000003, 0.3884, 0.38720000000000004, 0.1865, 0.185, 0.405, 0.3981, 0.0005, -0.0038, 0.3... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + -0.5 * Z(6) + 0.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(1) + -1.0 * Z(5) + -1.5 * Z(... | 13 | 9 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.0, "smallest_bitstrings": ["001101101", "111100001", "011000111", "111000011", "101101001", "011100101", "000111101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.317) q[0];
ry(-0.0174) q[1];
ry(0.0054) q[2];
ry(-0.0058) q[3];
ry(0.4038) q[4];
ry(0.3884) q[5];
ry(0.1865) q[6];
ry(0.405) q[7];
ry(0.0005) q[8];
crz(0.2226) q[8], q[0];
crz(-0.0059) q[7], q[8];
crz(0.0132) q[6], q[7];
crz(0.0011) q[5], q[6];
crz(0.0002... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input floa... | null | {"circuits": [], "gradients": []} |
d3afc618b7dbe8b32f310fdf84749e1a | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [21, 25], "expectation_value": -0.5445914228408164, "params": [[0.0604, 0.035500000000000004, 0.0123, 0.0053], [-0.0693, -0.0454, -0.0298, -0.024900000000000002]], "bitstrings": ["1101010", "1100110"], "total_optimization_steps": 10, "probabilities": [0.010514462943423918, 0.010514462943423918], "optimizatio... | 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) | 1 | 7 | 4 | {"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;
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(0.0604) q[0];
cx q[1], q[0];
cx q[0], q[5];
rz(0.0604) q[5];
cx q[0], q[5];
cx q[1], q[6];
rz(0.0604) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(0.0604) q[6];
cx q[0], q[6];
cx q[5], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
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": [562, 596], "expectation_value": -1.3104413410289628, "params": [[-0.0726, -0.0804], [0.0629, 0.0721]], "bitstrings": ["0111001101", "0110101011"], "total_optimization_steps": 10, "probabilities": [0.0016022660475868355, 0.0016022660475868355], "optimization_time": 6.097171783447266} | -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 | 2 | {"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": ["0110101011", "0110000000", "0110101101", "0110010001", "0111001011", "0111001101"... | 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(0.0726) q[9];
cx q[3], q[9];
cx q[3], q[4];
rz(-0.1452) q[4];
cx q[3], q[4];
cx q[9], q[4];
rz(0.0726) q[4];
cx q[9], q[4];
cx q[3], q[5];
rz(-0.0726) 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": []} |
9e8a866d2c0011b6946d4c64e758f31c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [21, 28], "expectation_value": -3.999900324820463, "params": null, "bitstrings": ["101010", "100011"], "total_optimization_steps": 26, "probabilities": [1.7187519564476356e-05, 0.999950071649245], "optimization_time": 21.277812719345093} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[0];
ry(-1.4449) q[5];
ry(-1.4449) q[4];
ry(1.4417) q[3];
ry(1.4417) q[1];
ry(1.4384) q[2];
cry(-0.1259) q[3], q[4];
cry(-0.1259) q[2], q[5];
cry(0.1246) q[3], q[2];
cry(0.1218) q[2], q[1];
cry(0.121... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
5a12fc3b9ebd59a3b68795f0bd90935e | vertex_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": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [18, 50], "expectation_value": -3.2667410400404853, "params": [0.6051000000000001, 0.0038, 0.6, 0.0146, 0.1718, 0.405, -0.0126, 0.3015, 0.6054, 0.112, -0.0154, 0.3713, 0.6009, -0.0012000000000000001, 0.6013000000000001, 0.026600000000000002, 0.1696, 0.4309, -0.0131, 0.3085, 0.6034, 0.1456, -0.019, 0.3683, 0.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -1.0 * Z(1) + -0.5 * Z(4) | 3 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.6051) q[0];
rz(0.0038) q[0];
rx(0.6) q[1];
rz(0.0146) q[1];
rx(0.1718) q[2];
rz(0.405) q[2];
rx(-0.0126) q[3];
rz(0.3015) q[3];
rx(0.6054) q[4];
rz(0.112) q[4];
rx(-0.0154) q[5];
rz(0.3713) q[5];
crz(0.0742) q[5], q[4];
crz(0.2318) q[4], q[3];
crz(-0.2941... | OPENQASM 3.0;
include "stdgates.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": []} |
ab957251534d09507f870c3a6ef42154 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [20, 23], "expectation_value": -3.9999340839148516, "params": null, "bitstrings": ["101011", "101000"], "total_optimization_steps": 25, "probabilities": [1.383436257146194e-05, 0.9999481823871552], "optimization_time": 17.44970941543579} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(4) + 0.0 * Z(5) + -1.0 * Z(2) + 0.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[2];
ry(-1.5681) q[0];
ry(1.4449) q[5];
ry(1.4449) q[3];
ry(1.4449) q[1];
ry(1.4449) q[4];
cry(0.1187) q[4], q[5];
cry(0.1188) q[5], q[3];
cry(0.1188) q[3], q[1];
cry(0.1186) q[1], q[4];
cry(-0.0027)... | 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[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... |
57e4a42254a59ee532f799c4c74dbbc5 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [33, 1], "expectation_value": -0.6091305682883584, "params": [[-0.0451], [0.0551]], "bitstrings": ["11011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.005107387552695429, 0.005154147491770214], "optimization_time": 1.9747252464294434} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -2.75 * (Z(4) @ Z(3)) + -1.5 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(4)) + -3.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 0.0 * Z(5) + 2.5 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-17.75, -17.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.75, "smallest_bitstrings": ["11111110", "11011110"]} | 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(0.0226) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.1353) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.1353) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(0.0451) q[5];
cx q[0], q[5];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
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