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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
16aed950661228e73cbfe28c55f52a27 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 4}, {"weight": 14, "source": 0, "target": 6}, {"weight": 17, "source": 0, "tar... | {"states": [252, 248], "expectation_value": -16.87444266894288, "params": [[-0.0264, -0.014700000000000001], [0.046400000000000004, 0.0519]], "bitstrings": ["100000011", "100000111"], "total_optimization_steps": 10, "probabilities": [0.004606066319942123, 0.005726414163773742], "optimization_time": 3.8951802253723145} | 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(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-94.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "smallest_bitstrings": ["100000111"]} | 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(-0.2376) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2376) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2376) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2376) 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": []} |
1e277e87feb79246d4c3112af02a6a4a | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 20, "source": 1, "target": 6}, {"weight": 1, "source": 2, "target": 3}, {"weight": 19, "source": 2, "targ... | {"states": [190, 188], "expectation_value": -26.172897951101604, "params": [[-0.028900000000000002, 0.0017000000000000001], [0.0734, 0.0776]], "bitstrings": ["101000001", "101000011"], "total_optimization_steps": 10, "probabilities": [0.0061949981441829696, 0.008044423249056203], "optimization_time": 3.534130811691284} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-96.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["101000011"]} | 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(-0.2601) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.2601) q[2];
cx q[3], q[2];
cx q[1], q[4];
rz(-0.2601) q[4];
cx q[1], q[4];
cx q[3], q[4];
rz(-0.2601) q[4];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
b470fb1cd90efe735b000e94c05a7225 | 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": 4}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2}, {"capac... | {"states": [0, 1], "expectation_value": -15.161968312784637, "params": [-0.031100000000000003, -0.009300000000000001, -0.033800000000000004, -0.0279, 0.0049, 0.10640000000000001, 0.0046, 0.1076, 0.0011, 0.165, 0.0055000000000000005, 0.1636, 0.0021000000000000003, 0.1517, -0.0, 0.1589, 0.0043, 0.12300000000000001, -0.00... | -0.5 * (Z(0) @ Z(4)) + -1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + 2.0 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(3)) + -1.0 * (Z(7) @ Z(4... | 6 | 10 | 4 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0311) q[0];
rz(-0.0093) q[0];
rx(0.0049) q[1];
rz(0.1064) q[1];
rx(0.0011) q[2];
rz(0.165) q[2];
rx(0.0021) q[3];
rz(0.1517) q[3];
rx(0.0043) q[4];
rz(0.123) q[4];
rx(0.0004) q[5];
rz(0.1722) q[5];
rx(0.001) q[6];
rz(0.1528) q[6];
rx(0.0066) 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... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
d576b64149ed4af7fd9893f4ff01f3b9 | 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": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, ... | {"states": [65, 1], "expectation_value": -9.249999999968587, "params": null, "bitstrings": ["10111110", "11111110"], "total_optimization_steps": 24, "probabilities": [0.4999999999968046, 0.4999999999968046], "optimization_time": 16.716381072998047} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(3)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + -0.25 * Z(4) + 1.5 * Z(7) + -1.0 * Z(5) + ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["11111110", "10111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[7];
ry(-1.5708) q[0];
ry(-1.5681) q[5];
ry(-1.5681) q[3];
ry(-1.5706) q[4];
ry(-1.5708) q[6];
ry(-1.5681) q[2];
cry(-0.0027) q[7], q[3];
cry(-0.0027) q[7], q[5];
cry(-0.0027) q[7], q[... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
8371d10567e2a79675b7c54d9bc2bc4c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}, {"source": ... | {"states": [768, 1011], "expectation_value": -6.856168609079477, "params": [-0.08950000000000001, 1.2311, 0.7883, 0.4796, -0.016800000000000002, 1.5427000000000002, 0.8065, 0.4289, -0.7002, 0.3962, 0.5464, 0.6817000000000001, 0.7406, 0.2718, -0.3287, 0.9076000000000001, 0.7332000000000001, 0.4348, -0.1009, 1.0216, 0.75... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 1.0 * Z(7) + -1.0 * Z(6) + 0.5 * Z(9) + 0.5 * Z(8) + 0.5 * Z(2) | 6 | 10 | 2 | {"smallest_eigenvalues": [-11.5, -11.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.5, "smallest_bitstrings": ["0000000000", "0000001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0895) q[0];
rz(1.2311) q[0];
rx(-0.0168) q[1];
rz(1.5427) q[1];
rx(-0.7002) q[2];
rz(0.3962) q[2];
rx(0.7406) q[3];
rz(0.2718) q[3];
rx(0.7332) q[4];
rz(0.4348) q[4];
rx(0.7501) q[5];
rz(0.3689) q[5];
rx(0.0038) q[6];
rz(0.8016) q[6];
rx(-0.798) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} |
fbed7eb759f2b5af245b5b20e03cfb23 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [3, 34], "expectation_value": -4.973039785722057, "params": null, "bitstrings": ["111100", "011101"], "total_optimization_steps": 17, "probabilities": [0.0743643311537954, 0.8991266787991349], "optimization_time": 16.61363983154297} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * Z(1) + -1.5 * Z(0) + -2.0 * Z(2) + -1.5 * Z(3) + ... | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["111100", "111001", "011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
ry(-1.5708) q[2];
ry(-1.4449) q[3];
ry(1.4449) q[4];
cry(-1.0398) q[0], q[5];
ry(0.6944) q[0];
ry(-0.451) q[5];
cry(0.4963) q[4], q[0];
cry(-0.3778) q[4], q[5];
cry(-0.1177) q[4], q[3];
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... |
5904cc0d008b9149c4a76309ed449d64 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 20, "source": 1, "target": 6}, {"weight": 8, "source": 2, "target": 3}, {"weight": ... | {"states": [366, 362], "expectation_value": -83.83710005086034, "params": [-0.019200000000000002, 0.6876, -0.020900000000000002, 0.0059, 1.401, 0.1418, 1.4058000000000002, 0.0017000000000000001, 0.5836, -0.499, 0.5799000000000001, 0.006900000000000001, 1.3948, 0.1675, 1.3944, 0.0029000000000000002, 1.4029, 0.1987000000... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(3)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(3)) + 5.5 * (Z(8) @ Z(4)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(4)) + 5.5 * (Z(9) @ Z(8)) + 10.0 * Z(1) ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-97.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -83.5, "smallest_bitstrings": ["1010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0192) q[0];
rz(0.6876) q[0];
rx(1.401) q[1];
rz(0.1418) q[1];
rx(0.5836) q[2];
rz(-0.499) q[2];
rx(1.3948) q[3];
rz(0.1675) q[3];
rx(1.4029) q[4];
rz(0.1987) q[4];
rx(-0.0191) q[5];
rz(0.6989) q[5];
rx(1.401) q[6];
rz(0.1356) q[6];
rx(0.9635) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
65508d90dd1df6aeab3034db48b3eb97 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 3}, {"weight": 19, "source": 0, "target": 8}, {"weight": 12, "sourc... | {"states": [490, 234], "expectation_value": -55.72064006671397, "params": [0.24050000000000002, 0.15710000000000002, 0.24250000000000002, 0.1487, 0.4922, -0.0526, 0.49310000000000004, -0.0378, 0.49160000000000004, -0.0465, 0.49770000000000003, -0.041800000000000004, 0.4922, -0.061900000000000004, 0.4953, -0.05930000000... | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 9.5 * Z(2) + 6.5 * Z(0) + 10.5 * Z(1) + 11.0 * Z(3) + 2.5 * Z(4) + 7.0 * Z(5) ... | 5 | 9 | 3 | {"smallest_eigenvalues": [-67.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.2405) q[0];
rz(0.1571) q[0];
rx(0.4922) q[1];
rz(-0.0526) q[1];
rx(0.4916) q[2];
rz(-0.0465) q[2];
rx(0.4922) q[3];
rz(-0.0619) q[3];
rx(0.1384) q[4];
rz(-0.1487) q[4];
rx(0.4983) q[5];
rz(-0.0445) q[5];
rx(0.2251) q[6];
rz(0.1605) q[6];
rx(0.4986) 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... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
90ed954541db23a75eecb07977c28089 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": ... | {"states": [3541, 3543], "expectation_value": -2.9324316764018405, "params": [[[0.2582, 0.0033], [0.9805, -0.0001], [0.0609, 0.006900000000000001], [0.7939, 0.0131], [0.6363, 0.013900000000000001], [0.6354000000000001, 0.0304], [0.1852, 0.06380000000000001], [0.9687, 0.1051], [0.1562, 0.1847], [0.4596, 0.2253], [0.7487... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 15 | 12 | 4 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.8125, "smallest_bitstrings": ["010001000001", "000100110000", "100000001001", "100000000110", "001001000100", "001000101000", "000011010000", "010000100010"]... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.2582) q[0];
ry(0.9805) q[1];
ry(0.0609) q[2];
ry(0.7939) q[3];
ry(0.6363) q[4];
ry(0.6354) q[5];
ry(0.1852) q[6];
ry(0.9687) q[7];
ry(0.1562) q[8];
ry(0.4596) q[9];
ry(0.7487) q[10];
ry(0.1572) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 3}, {"source": ... | {"states": [56, 7], "expectation_value": -2.93145212971114, "params": [[0.0649, 0.0585], [-0.0699, -0.055900000000000005]], "bitstrings": ["000111", "111000"], "total_optimization_steps": 10, "probabilities": [0.02611698521725493, 0.026886388109979485], "optimization_time": 3.0982449054718018} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 18 | 6 | 2 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"]} | 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(0.2271) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2271) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2271) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.2596) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.2271... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0... | {"k": 3} | {"circuits": [], "gradients": []} |
1108229130261521761 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 4], [1, 5], [1, 4], [0, 2], [1, 3], [2, 5], [2, 4], [0, 6], [3, 6], [0, 3]]} | {"states": [70, 78], "expectation_value": -0.061391705149403536, "params": [[[1.7264000000000002, 0.0063], [1.4329, 0.0046], [1.3901000000000001, 0.0056], [1.5838, 0.005], [1.7079, 0.0043], [1.7449000000000001, 0.0001], [1.4631, 0.006900000000000001]]], "bitstrings": ["0111001", "0110001"], "total_optimization_steps": ... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["1110001", "1110000", "0001111", "0001110", "1001110", "0110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.7264) q[0];
rz(0.0063) q[0];
rx(1.4329) q[1];
rz(0.0046) q[1];
rx(1.3901) q[2];
rz(0.0056) q[2];
rx(1.5838) q[3];
rz(0.005) q[3];
rx(1.7079) q[4];
rz(0.0043) q[4];
rx(1.7449) q[5];
rz(0.0001) q[5];
rx(1.4631) q[6];
rz(0.0069) 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": []} |
d2399a7adc00c6c4cb55ccbad7391496 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [3143, 3141], "expectation_value": -94.46597119114519, "params": [2.4022, 0.006500000000000001, 2.4049, 0.0074, 1.2673, 0.001, 0.0026000000000000003, 0.0006000000000000001, 1.2630000000000001, 0.0039000000000000003, 2.4077, 0.0057, 0.0024000000000000002, 0.0089, 0.0026000000000000003, 0.0, 1.1617, 0.0081, 2.... | 8.0 * (Z(0) @ Z(2)) + 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(5) @ Z(1)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(8) @ Z(0)) + 8.0 * (Z(10) @ Z(1)) + 8.0 * (Z(10) @ Z(5)) + 8.0 * (Z(9) @ Z(4)) + 8.0 * (Z(9) @ Z(10)) + 8.0 * (Z(11) @ Z(0)) + 8.0 * (Z(11) @ Z(8)) + 4.0 * Z(2) + 23.0 * Z(0) + 22.0 * Z(1) + 13.5 * Z(5... | 16 | 12 | 1 | {"smallest_eigenvalues": [-146.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -140.5, "smallest_bitstrings": ["001110111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(2.4022) q[0];
rz(0.0065) q[0];
rx(2.4049) q[1];
rz(0.0074) q[1];
rx(1.2673) q[2];
rz(0.001) q[2];
rx(0.0026) q[3];
rz(0.0006) q[3];
rx(1.263) q[4];
rz(0.0039) q[4];
rx(2.4077) q[5];
rz(0.0057) q[5];
rx(0.0024) q[6];
rz(0.0089) q[6];
rx(0.0026) q[7];
rz(0)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
8c44c442a25e00dfae4e1647b2faf79f | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}]} | {"states": [26, 14], "expectation_value": -1.9855888858598751, "params": null, "bitstrings": ["100101", "110001"], "total_optimization_steps": 27, "probabilities": [0.10406139442534974, 0.8717759131270884], "optimization_time": 23.50260353088379} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3... | 1 | 6 | 3 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.0, "smallest_bitstrings": ["010011", "100101", "001101", "010101", "001110", "011010", "110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.4449) q[5];
cry(-1.3016) q[3], q[1];
ry(1.2881) q[2];
ry(1.0231) q[4];
cry(-0.992) q[4], q[0];
ry(0.6597) q[3];
ry(-0.5017) q[0];
cry(0.435) q[2], q[4];
cry(-0.1259) q[4], q[5];
cry(0.258) 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];\nry(-1.4449) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
52889798901663635 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4], [4, 6], [4, 7], [5, 6], [2, 6], [0, 4], [6, 7], [3, 5], [3, 7], [0, 6], [1, 2], [2, 7], [2, 5], [0, 1], [5, 7], [1, 4], [2, 3]]} | {"states": [83, 172], "expectation_value": -0.1936959846939837, "params": [[-0.08], [0.0741]], "bitstrings": ["10101100", "01010011"], "total_optimization_steps": 10, "probabilities": [0.0045798879161543776, 0.0045798879161543776], "optimization_time": 0.8799808025360107} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(1) ... | 1 | 8 | 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": ["01011110", "10101100", "01010011", "10100101", "01011010", "10100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[2];
rz(-0.08) q[2];
cx q[4], q[2];
cx q[4], q[6];
rz(-0.08) q[6];
cx q[4], q[6];
cx q[2], q[6];
rz(-0.08) q[6];
cx q[2], q[6];
cx q[4], q[7];
rz(-0.08) q[7];
cx q[4], q[7];
cx q[2], q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[6];
rz(x0) q[6];
cx q[4], q[6];
cx q[2], q[6];
rz(x0) q[6];
cx q[2], q[6];
cx q[4]... | null | {"circuits": [], "gradients": []} |
f619afa25c1921f996d128a1dfefef72 | 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": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [2, 8], "expectation_value": -2.633175255233529, "params": null, "bitstrings": ["11101", "10111"], "total_optimization_steps": 11, "probabilities": [0.12772843494835198, 0.7558695531215004], "optimization_time": 5.983922958374023} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -0.75 * Z(0) + -0.25 * Z(1) + -0.75 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["11101", "10111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5681) q[4];
ry(-1.5486) q[0];
ry(-1.4449) q[2];
cry(-1.0343) q[1], q[3];
ry(0.7003) q[1];
ry(-0.4549) q[3];
cry(-0.2376) q[3], q[1];
cry(-0.111) q[1], q[2];
cry(-0.0196) q[1], q[0];
cry(-0.0348) q[3], q[2];
cry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
17cd9690776ef862a22ab9b1dedee537 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [429, 421], "expectation_value": -2.89784742839338, "params": [1.4032, 1.4039000000000001, 1.3974, 1.4001000000000001, 0.0151, 0.004200000000000001, 1.4039000000000001, 1.3948, -0.0033, 0.0083, 0.7701, 0.8419000000000001, 1.3968, 1.3985, 0.1323, -0.0227, 1.2695, 1.1875, 1.4001000000000001, 0.2341, -0.0103, 0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + ... | 14 | 9 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.375, "smallest_bitstrings": ["010010011", "001110010", "100011001", "011010010", "001010110", "001011001", "001011010", "010011001", "001011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.4032) q[0];
ry(1.3974) q[1];
ry(0.0151) q[2];
ry(1.4039) q[3];
ry(-0.0033) q[4];
ry(0.7701) q[5];
ry(1.3968) q[6];
ry(0.1323) q[7];
ry(1.2695) q[8];
crx(1.4001) q[8], q[0];
crx(-0.589) q[7], q[8];
crx(-0.3313) q[6], q[7];
crx(0.3698) q[5], q[6];
crx(-0.21... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
598afa5ba5805c1178ca47cc998ec074 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 7}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"sour... | {"states": [0, 62], "expectation_value": -2.4010478213251014, "params": [0.6289, -0.29500000000000004, 0.64, 0.3033, 0.7816000000000001, 0.4737, 1.2123000000000002, -0.0038, 1.2068, 0.0006000000000000001, 1.2125000000000001, 0.00030000000000000003, 1.2097, 0.002, 1.2035, -0.0037, 0.2059, 0.0041, 0.5745, 0.5612, 0.24980... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(6) @ Z(8)) + -0.5 * Z(4) + -0.5 * Z(0) + -1.0 * Z(7) + -0.5 * Z(1) + 0.0 * Z(5) + -0.5 * Z(2) + -1.5 * Z(8) + 0.0 * Z(3) + 0.0 * Z(6) | 4 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["111000001", "000011011", "110010001", "010010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.6289) q[0];
rz(-0.295) q[0];
rx(0.64) q[1];
rz(0.3033) q[1];
rx(0.7816) q[2];
rz(0.4737) q[2];
rx(1.2123) q[3];
rz(-0.0038) q[3];
rx(1.2068) q[4];
rz(0.0006) q[4];
rx(1.2125) q[5];
rz(0.0003) q[5];
rx(1.2097) q[6];
rz(0.002) q[6];
rx(1.2035) 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[... | null | {"circuits": [], "gradients": []} |
9aafe0580999b1b0b4b8e8eda0d2bc18 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": ... | {"states": [5, 33], "expectation_value": -2.910603879608093, "params": null, "bitstrings": ["111010", "011110"], "total_optimization_steps": 20, "probabilities": [0.06070092546581366, 0.7871871279988792], "optimization_time": 15.271006107330322} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(2) + 0.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.0, "smallest_bitstrings": ["011110", "111100", "111010", "010111", "110101", "101110", "110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
ry(-1.4449) q[4];
cry(-1.0398) q[0], q[3];
cry(-1.0342) q[5], q[2];
ry(0.7003) q[5];
ry(0.6944) q[0];
ry(-0.4549) q[2];
ry(-0.451) q[3];
cry(0.4573) q[0], q[5];
cry(0.4514) q[5], q[0];
cry(-0.35... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
73234867a8d73902463f648150631001 | 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": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 5, "source": 2, "target": 1... | {"states": [64, 63], "expectation_value": -0.31542483170350266, "params": [[0.0089, 0.0058000000000000005, -0.007500000000000001, 0.056900000000000006], [-0.0274, -0.019200000000000002, 0.014400000000000001, -0.0308]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.00908479150... | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(6)) + -1.25 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -2.5 * Z(6) + 1.75 * Z(2) + 2.0 ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "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[1], q[0];
rz(-0.0044) q[0];
cx q[1], q[0];
cx q[1], q[6];
rz(-0.0178) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(0.0089) q[6];
cx q[0], q[6];
cx q[1], q[2];
rz(-0.0222) q[2];
cx q[1], q[2];
cx q[6], 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": []} |
2259393284875368262 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 3], [8, 2], [3, 6], [5, 6], [0, 8], [4, 6], [4, 5], [3, 7], [8, 4], [8, 5], [3, 4], [2, 6], [8, 6], [1, 5], [2, 4]]} | {"states": [147, 151], "expectation_value": -3.6836456010322536, "params": [0.0047, 0.0015, 1.5659, 1.5706, -0.0015, -0.0012000000000000001, 0.1409, -0.1521, 1.5728, 1.5747, -0.061700000000000005, 0.06670000000000001, -0.8759, -0.8768, -0.8352, -0.9061, 1.5736, 1.5737, -0.0028, -0.8959, 4.0162, -0.46340000000000003, 0.... | 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(1) ... | 14 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["010010111", "101101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0047) q[0];
ry(1.5659) q[1];
ry(-0.0015) q[2];
ry(0.1409) q[3];
ry(1.5728) q[4];
ry(-0.0617) q[5];
ry(-0.8759) q[6];
ry(-0.8352) q[7];
ry(1.5736) q[8];
crx(-0.0028) q[8], q[0];
crx(1.6366) q[7], q[8];
crx(-1.7992) q[6], q[7];
crx(-0.0746) q[5], q[6];
crx(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
f6cdf6caae833c575489bb2b7a623058 | 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": 16, "source": 0, "target": 4}, {"weight": 15, "source": 0, "target": 3}, {"weight": 18, "source": 1, "target": 2}, {... | {"states": [174, 118], "expectation_value": -15.33325088835016, "params": [[0.0302, -0.016800000000000002, 0.0067, -0.056900000000000006], [-0.047, -0.0034000000000000002, -0.0205, 0.049300000000000004]], "bitstrings": ["01010001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.008463417754419967, 0.0... | 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(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(6)) + 15.5 * Z(1) + 8.5 * Z(0) + 16.0 * ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.5, "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(0.2416) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2416) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2416) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.2416) q[3];
cx q[0], q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
0d8e08edacb19af1eadafa58f3724383 | 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": 9, "source": 0, "target": 1}, {"weight": 20, "source": 1, "target": 7}, {"weight": 10, "source": 2, "target": 3}, {"weight": 11, "source": 2, "tar... | {"states": [442, 186], "expectation_value": -6.159451932626796, "params": [[0.046900000000000004], [-0.042300000000000004]], "bitstrings": ["001000101", "101000101"], "total_optimization_steps": 10, "probabilities": [0.003039688937989808, 0.0032857145901136727], "optimization_time": 1.8984744548797607} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 10.0 * Z(1) + 0.0 * Z(0) + 14.5 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-68.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["101000101"]} | 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(0.4221) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(0.4221) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(0.4221) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(0.4221) q[4];
cx q[2], 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;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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],... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
d55d504e597705d8581d37ec0d2e41ca | 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": 1}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 1, "target": 6... | {"states": [64, 63], "expectation_value": -0.13417041955639333, "params": [[-0.0723], [0.0665]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.008863994213636286, 0.009047203890858916], "optimization_time": 1.6149766445159912} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + 0.75 * Z(1) + -0.25 * Z(0) + -0.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(2) + 0.75 * Z(3) + 0.25 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["1000000", "1010010"]} | 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(0.0362) q[0];
cx q[1], q[0];
cx q[1], q[6];
rz(0.1085) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(-0.0723) q[6];
cx q[0], q[6];
cx q[1], q[5];
rz(0.0723) q[5];
cx q[1], q[5];
cx q[5], q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
c... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
ceada473950316c985fdaa58a8618609 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [73, 77], "expectation_value": -2.589810322620873, "params": [0.8054, -0.0035, -0.0122, 0.4833, -0.007200000000000001, 0.5292, 0.806, 0.2414, 0.8017000000000001, 0.031100000000000003, 0.8024, 0.3614, 0.8001, 0.44260000000000005, 0.8039000000000001, 0.0019, -0.0098, 0.0057, -0.0099, 0.001, 0.8043, 0.0089, 0.7... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(2) + 0.0 * Z(0) + -1.5 * Z(1) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(6) + 0.0 * Z(4) | 3 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["0110010", "0110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.8054) q[0];
rz(-0.0035) q[0];
rx(-0.0122) q[1];
rz(0.4833) q[1];
rx(-0.0072) q[2];
rz(0.5292) q[2];
rx(0.806) q[3];
rz(0.2414) q[3];
rx(0.8017) q[4];
rz(0.0311) q[4];
rx(0.8024) q[5];
rz(0.3614) q[5];
rx(0.8001) q[6];
rz(0.4426) q[6];
crz(0.4633) q[6], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
e5362bdf5e727045ae0e3b514af6e6e2 | 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": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [0, 29], "expectation_value": -7.576286938530819, "params": [-0.0016, 1.4853, -0.0102, 0.006200000000000001, -0.7683, 2.244, -0.21080000000000002, 0.0057, -1.0772000000000002, 1.1387, 0.20450000000000002, 0.006500000000000001, -1.0761, 1.2244000000000002, 0.2944, 0.0044, -0.0011, 1.7797, 0.0047, 0.001, 1.070... | -0.25 * (Z(0) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(5)) + 1.25 * Z(2) + -0.25 * Z(0) + -2.5 * Z(4) + 0.0 * Z(1) + -0.5 * Z(5) + 2.0 * Z(3) | 6 | 6 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(-0.0016) q[0];
rz(1.4853) q[0];
rx(-0.7683) q[1];
rz(2.244) q[1];
rx(-1.0772) q[2];
rz(1.1387) q[2];
rx(-1.0761) q[3];
rz(1.2244) q[3];
rx(-0.0011) q[4];
rz(1.7797) q[4];
rx(1.0706) q[5];
rz(1.048) q[5];
crx(0.0024) q[5], q[4];
crx(1.1284) q[5], q[3];
crx(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
dc7c5991b24b29a32e175edecdea4a27 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"sour... | {"states": [307, 291], "expectation_value": -5.793260855357208, "params": [1.2033, -0.0033, -0.0028, -0.6448, 0.0079, -0.2523, 1.2003000000000001, -0.0051, 0.7577, 0.3242, 0.0016, -0.0648, 0.0021000000000000003, -0.30460000000000004, 1.1945000000000001, -0.028900000000000002, 1.1437000000000002, -0.0188, 1.200100000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + -1.5 * Z(1) ... | 4 | 9 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["111011000", "011011100", "011001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.2033) q[0];
rz(-0.0033) q[0];
rx(-0.0028) q[1];
rz(-0.6448) q[1];
rx(0.0079) q[2];
rz(-0.2523) q[2];
rx(1.2003) q[3];
rz(-0.0051) q[3];
rx(0.7577) q[4];
rz(0.3242) q[4];
rx(0.0016) q[5];
rz(-0.0648) q[5];
rx(0.0021) q[6];
rz(-0.3046) q[6];
rx(1.1945) 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": []} |
dd4f3f1f90b61f0bfd416cd86d3b98cc | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [64, 90], "expectation_value": -1.9455974517641617, "params": [[[0.609, -0.3775, 0.0091, 0.0004], [0.6085, -0.18730000000000002, 0.5977, 0.4072], [0.3528, -0.1282, -0.2805, 0.38570000000000004], [0.37420000000000003, -0.3447, 0.3739, -0.4788], [0.17800000000000002, 0.46290000000000003, 0.19410000000000002, 0... | 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(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 11 | 8 | 2 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.75, "smallest_bitstrings": ["01110100", "01100101", "10100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.609) q[0];
rz(-0.3775) q[0];
ry(0.6085) q[1];
rz(-0.1873) q[1];
ry(0.3528) q[2];
rz(-0.1282) q[2];
ry(0.3742) q[3];
rz(-0.3447) q[3];
ry(0.178) q[4];
rz(0.4629) q[4];
ry(-0.0885) q[5];
rz(0.4755) q[5];
ry(0.6008) q[6];
rz(0.0079) q[6];
ry(-0.0032) 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": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 30, "source": 0, "target": 3}, {"weight": 27, "source": 0, "target": 4}, {"weight": 32, "source": 0, "target": 2}, {"weight": 10, "source... | {"states": [1751, 1623], "expectation_value": -7.485170014837302, "params": null, "bitstrings": ["00100101000", "00110101000"], "total_optimization_steps": 100, "probabilities": [0.49730634434571963, 0.49730634434571963], "optimization_time": 282.29027700424194} | 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(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.25 * (Z(8) @ Z(0)) + 0.25 * (Z(... | 1 | 11 | 4 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["00110101000", "10000100010", "00100101000", "10000100011"]} | 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];
ry(1.5708) q[9];
ry(1.5706) q[1];
cry(1.5681) q[1], q[4];
cry(1.4449) q[4], q[8];
cry(-1.4433) q[8], q[5];
cry(-1.4433) q[8], q[7];
ry(1.4416) q[0];
cry(1.44) q[8], q[6]... | null | {"start_node": 0, "end_node": 4} | {"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];\nry(1.5708) q[9];\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] = me... |
272b7f7d40fcddb1ed0126c6a9e7e713 | 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": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [367, 359], "expectation_value": -3.080884920718166, "params": [-0.0014, 0.5334, 0.496, 0.1787, 0.1044, 0.32320000000000004, 0.7063, 0.1505, 0.6946, -0.0015, -0.0043, 0.457, 0.4093, -0.08750000000000001, 0.6899000000000001, -0.0766, 0.6949000000000001, -0.0114, 0.7030000000000001, -0.0027, -0.0041, 0.5214, 0... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(1) @ Z(7)) + 0.0625 * (Z(1) @ Z(8)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(4) @ Z(7)) + 0.0625 * (Z(4) @ Z(8)) + 0.0625 * (Z(6) @ Z(7)) ... | 16 | 10 | 4 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.6875, "smallest_bitstrings": ["1110010000", "1010100010", "1100010001", "1010011000", "1010010010", "1001011000", "1010110000", "1010010100", "11000... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0014) q[0];
rz(0.5334) q[0];
rx(0.496) q[1];
rz(0.1787) q[1];
rx(0.1044) q[2];
rz(0.3232) q[2];
rx(0.7063) q[3];
rz(0.1505) q[3];
rx(0.6946) q[4];
rz(-0.0015) q[4];
rx(-0.0043) q[5];
rz(0.457) q[5];
rx(0.4093) q[6];
rz(-0.0875) q[6];
rx(0.6899) 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] x11;
in... | null | {"circuits": [], "gradients": []} |
6535735199451124805 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 1, 5, 7], [1, 2], [0, 3, 5, 7], [2, 5, 7], [0, 3, 4, 8, 9, 11], [8, 1, 10, 4], [1, 3, 4, 7], [8, 1, 11, 4], [0, 2, 11, 7], [2, 6]]} | {"states": [3869, 3901], "expectation_value": -2.6924545971574516, "params": [2.842, 0.0021000000000000003, 2.0852, -0.0032, 2.9724, -0.004, 2.5828, 1.1494, 0.002, 0.9885, -0.0023, 0.9440000000000001, 2.6979, 0.6509, 2.8654, -0.0018000000000000002, 2.5536000000000003, -0.0029000000000000002, 2.9933, 0.0033, 2.993800000... | 0.25 * (Z(10) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(10)) + 0.16666666666666666 * (Z(9) @ Z(1)) + 0.08333333333333333 * (Z(9) @ Z(10)) + 0.3333333333333333 * (Z(9) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(7)) + 0.25 * (Z(4) @ Z(9)) + 0.03333333333333333 * ... | 4 | 12 | 1 | {"smallest_eigenvalues": [-3.0333333333333337], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.9499999999999997, "smallest_bitstrings": ["000011000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(2.842) q[0];
rz(0.0021) q[0];
rx(2.0852) q[1];
rz(-0.0032) q[1];
rx(2.9724) q[2];
rz(-0.004) q[2];
rx(2.5828) q[3];
rz(1.1494) q[3];
rx(0.002) q[4];
rz(0.9885) q[4];
rx(-0.0023) q[5];
rz(0.944) q[5];
rx(2.6979) q[6];
rz(0.6509) q[6];
rx(2.8654) 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": []} |
c27e04a1b516da945dec2e0c25bb156f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [1, 129], "expectation_value": -20.992993220653645, "params": [0.002, -0.4788, -0.0035, -0.49150000000000005, 0.3668, 0.030600000000000002, 0.3375, 0.027800000000000002, 0.0023, -0.4817, -0.005, -0.5134000000000001, 0.0028, -0.4086, -0.0056, -0.5109, 0.0019, -0.5041, -0.0049, -0.5193, 0.0002, -0.4711, -0.002... | -0.5 * (Z(0) @ Z(4)) + -1.75 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(0)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + 2.0 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(1)) + -2.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(6)) + -1.0 * (Z(2) @ Z(7)) + -1.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(... | 5 | 9 | 3 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.25, "smallest_bitstrings": ["101111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.002) q[0];
rz(-0.4788) q[0];
rx(0.3668) q[1];
rz(0.0306) q[1];
rx(0.0023) q[2];
rz(-0.4817) q[2];
rx(0.0028) q[3];
rz(-0.4086) q[3];
rx(0.0019) q[4];
rz(-0.5041) q[4];
rx(0.0002) q[5];
rz(-0.4711) q[5];
rx(0.0035) q[6];
rz(-0.4578) q[6];
rx(0.0035) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
760ace3cde9aaa520f6437d324b6e118 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 4}, {"weight": 5, "source": 2, "target": 3}, {"weight": ... | {"states": [343, 342], "expectation_value": -96.69369600374952, "params": [0.2444, 0.0012000000000000001, 0.786, 0.0029000000000000002, 0.28700000000000003, -0.024200000000000003, 0.7785000000000001, -0.14300000000000002, 0.36970000000000003, -0.319, 0.7929, 0.025500000000000002, 0.1622, 0.2916, 0.7101000000000001, 0.1... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(8) @ Z(5)) + 5.5 * (Z(6) @ Z(8)) + 5.5 * (Z(7) @ Z(8)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(9) @ Z(5)) + 5.5 * (Z(9) @ Z(8)) + 5.5 * (Z(9) ... | 4 | 10 | 4 | {"smallest_eigenvalues": [-108.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -96.5, "smallest_bitstrings": ["1010101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.2444) q[0];
rz(0.0012) q[0];
rx(0.786) q[1];
rz(0.0029) q[1];
rx(0.287) q[2];
rz(-0.0242) q[2];
rx(0.7785) q[3];
rz(-0.143) q[3];
rx(0.3697) q[4];
rz(-0.319) q[4];
rx(0.7929) q[5];
rz(0.0255) q[5];
rx(0.1622) q[6];
rz(0.2916) q[6];
rx(0.7101) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
4064100741583245927 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 3, 6, 7, 10, 11], [0, 9], [0, 1, 10, 3], [1, 3, 4, 6, 10], [2, 3, 4, 7, 11], [2, 6, 7, 8, 10], [2, 3, 4, 5, 6, 8], [0, 1, 2, 3, 4, 11]]} | {"states": [2926, 2922], "expectation_value": -1.936021228010903, "params": [1.5754000000000001, 1.5709000000000002, 0.0027, 0.0027, 1.5743, 1.57, 2.464, 0.6739, 0.0027, 0.0027, 1.6214000000000002, 1.5253, 1.5730000000000002, 1.5730000000000002, 0.0036000000000000003, 0.0017000000000000001, 1.5739, 1.5725, 0.9623, 0.44... | 0.2 * (Z(1) @ Z(5)) + 0.11666666666666667 * (Z(8) @ Z(5)) + 0.08333333333333334 * (Z(8) @ Z(1)) + 0.08333333333333334 * (Z(9) @ Z(5)) + 0.03333333333333333 * (Z(9) @ Z(1)) + 0.08333333333333334 * (Z(9) @ Z(8)) + 0.16666666666666669 * (Z(2) @ Z(5)) + 0.16666666666666669 * (Z(2) @ Z(1)) + 0.13333333333333336 * (Z(2) @ Z(... | 13 | 12 | 1 | {"smallest_eigenvalues": [-1.9500000000000008, -1.9500000000000008, -1.9500000000000008], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.9500000000000006, "smallest_bitstrings": ["100100011000", "010100010011", "010010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.5754) q[0];
ry(0.0027) q[1];
ry(1.5743) q[2];
ry(2.464) q[3];
ry(0.0027) q[4];
ry(1.6214) q[5];
ry(1.573) q[6];
ry(0.0036) q[7];
ry(1.5739) q[8];
ry(0.9623) q[9];
ry(1.5912) q[10];
ry(-0.0024) q[11];
crz(-2.4677) q[11], q[0];
crz(0.0023) q[10], q[11];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
6019be0fa8c3633cf3c67a35b335404e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [67, 73], "expectation_value": -5.499900323957743, "params": null, "bitstrings": ["0111100", "0110110"], "total_optimization_steps": 30, "probabilities": [1.7187890714324156e-05, 0.999950071329203], "optimization_time": 25.44920587539673} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * Z(1) + -1.0 * Z(0) + -2.0 * Z(2) + -1.0 * Z(5) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1011100", "0110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[2];
ry(-1.5681) q[1];
ry(-1.4449) q[4];
ry(-1.4449) q[5];
ry(1.4417) q[6];
ry(1.4417) q[0];
ry(1.4384) q[3];
cry(-0.1259) q[6], q[4];
cry(-0.1259) q[3], q[5];
cry(0.1246) q[6], q[3];
cry(0.1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
6a865e73d4e6861d0009457718f7c0e7 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [13694, 12798], "expectation_value": -2.5875643258620458, "params": [1.3007, 0.1374, 1.3008, 0.0043, 1.292, 0.0516, 1.2533, 0.0066, 0.459, 0.4444, 0.4635, 0.0018000000000000002, 1.2886, 0.1168, 1.0174, 0.0013000000000000002, 0.9661000000000001, -0.37870000000000004, 0.8824000000000001, 0.0049, 0.8677, 0.2665... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.03125 * (Z(0) @ Z(3)) + 0.03125 * (Z(6) @ Z(0)) + 0.03125 * (Z(0) @ Z(7)) + 0.03125 * (Z(0) @ Z(8)) + 0.03125 * (Z(0) ... | 5 | 14 | 1 | {"smallest_eigenvalues": [-4.093750000000002], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.09375, "smallest_bitstrings": ["00111000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
rx(1.3007) q[0];
rz(0.1374) q[0];
rx(1.292) q[1];
rz(0.0516) q[1];
rx(0.459) q[2];
rz(0.4444) q[2];
rx(1.2886) q[3];
rz(0.1168) q[3];
rx(0.9661) q[4];
rz(-0.3787) q[4];
rx(0.8677) q[5];
rz(0.2665) q[5];
rx(1.2888) q[6];
rz(0.1802) q[6];
rx(1.2972) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
1851675220288832220 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3], [1, 2, 4, 5, 6], [1, 3, 4, 5, 6], [0, 3, 5], [0, 1, 3, 4, 6]]} | {"states": [11, 15], "expectation_value": -1.3696366525101886, "params": null, "bitstrings": ["1110100", "1110000"], "total_optimization_steps": 38, "probabilities": [0.04575039229899747, 0.832896415511437], "optimization_time": 45.981892108917236} | 0.5 * (Z(2) @ Z(3)) + 0.1 * (Z(1) @ Z(3)) + 0.05 * (Z(1) @ Z(2)) + 0.1 * (Z(4) @ Z(3)) + 0.05 * (Z(4) @ Z(2)) + 0.15000000000000002 * (Z(4) @ Z(1)) + 0.21666666666666667 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(2)) + 0.1 * (Z(5) @ Z(1)) + 0.1 * (Z(5) @ Z(4)) + 0.1 * (Z(6) @ Z(3)) + 0.05 * (Z(6) @ Z(2)) + 0.15000000000000002 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.4333333333333333, -1.4333333333333333, -1.4333333333333333, -1.4333333333333333], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.4333333333333331, "smallest_bitstrings": ["1110000", "0001001", "1010001", "1010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.2883) q[5];
cry(-0.9578) q[3], q[2];
ry(0.9536) q[3];
ry(-0.6462) q[2];
cry(0.4339) q[5], q[3];
ry(0.7234) q[6];
cry(-0.3327) q[5], q[2];
cry(-0.6318) q[3], q[0];
cry(0.4986) q[5], q[6];
cry(-0.4167)... | 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(1.2883) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
3fb3735639c46bff7d77a855f00e5a0c | 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": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 1... | {"states": [1, 5], "expectation_value": -7.82252717336087, "params": [-0.0011, 0.5236000000000001, -0.0041, 0.7974, -0.0023, 0.8207, -0.0047, 0.754, 0.5745, 0.0034000000000000002, -0.0018000000000000002, 0.7866000000000001, 1.0643, 0.0051, -0.0066, 0.6917, -0.0024000000000000002, -0.7964, -0.0038, 0.8043, -0.0013000000... | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(6) @ Z(2)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 ... | 3 | 7 | 3 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0011) q[0];
rz(0.5236) q[0];
rx(-0.0041) q[1];
rz(0.7974) q[1];
rx(-0.0023) q[2];
rz(0.8207) q[2];
rx(-0.0047) q[3];
rz(0.754) q[3];
rx(0.5745) q[4];
rz(0.0034) q[4];
rx(-0.0018) q[5];
rz(0.7866) q[5];
rx(1.0643) q[6];
rz(0.0051) q[6];
crz(0.0056) 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": 6} | {"circuits": [], "gradients": []} |
b99f0e315d6c4ec38babd2628ecf87b6 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "s... | {"states": [0, 3], "expectation_value": -4.242870053881519, "params": [-0.0025, 0.3869, 0.0015, 0.3226, -0.0008, 0.17120000000000002, 0.0024000000000000002, 0.5954, 0.0024000000000000002, 0.597, 0.0022, 0.5952000000000001, 0.0022, 0.5856, 0.7599, -0.0019, 0.8014, 0.0032, -0.0036000000000000003, -0.026500000000000003, 0... | -0.5 * (Z(0) @ Z(6)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(4)) + -0.25 * Z(6) + -0.25 * Z(0) + 0.5 * ... | 4 | 9 | 2 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.75, "smallest_bitstrings": ["111111100", "110111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0025) q[0];
rz(0.3869) q[0];
rx(0.0015) q[1];
rz(0.3226) q[1];
rx(-0.0008) q[2];
rz(0.1712) q[2];
rx(0.0024) q[3];
rz(0.5954) q[3];
rx(0.0024) q[4];
rz(0.597) q[4];
rx(0.0022) q[5];
rz(0.5952) q[5];
rx(0.0022) q[6];
rz(0.5856) q[6];
rx(0.7599) q[7];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
5306777681138020261 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 9, 6, 7], [0, 2, 4, 7], [1, 2, 5, 6, 9], [8, 5], [2, 3, 4, 6, 7, 9], [4, 5, 7], [0, 9, 2, 1], [0, 1, 2, 7, 8], [8, 9, 2, 4], [0, 1, 3, 6, 8, 9], [3, 5, 6, 7, 9]]} | {"states": [367, 303], "expectation_value": -2.636239911485351, "params": [-0.0018000000000000002, -0.004, 1.5752000000000002, 1.5716, 0.0028, 0.0028, 2.4483, 2.3529, 1.5905, 1.5456, 0.0023, 0.0023, 1.5629000000000002, 1.5728, 1.5635000000000001, 1.5731000000000002, 1.5681, 1.5693000000000001, 1.5731000000000002, 1.572... | 0.19999999999999998 * (Z(0) @ Z(9)) + 0.25 * (Z(6) @ Z(9)) + 0.11666666666666667 * (Z(6) @ Z(0)) + 0.16666666666666669 * (Z(7) @ Z(9)) + 0.21666666666666667 * (Z(7) @ Z(0)) + 0.16666666666666669 * (Z(7) @ Z(6)) + 0.25 * (Z(2) @ Z(9)) + 0.21666666666666667 * (Z(2) @ Z(0)) + 0.08333333333333334 * (Z(2) @ Z(6)) + 0.166666... | 13 | 10 | 1 | {"smallest_eigenvalues": [-2.666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.666666666666666, "smallest_bitstrings": ["1011010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0018) q[0];
ry(1.5752) q[1];
ry(0.0028) q[2];
ry(2.4483) q[3];
ry(1.5905) q[4];
ry(0.0023) q[5];
ry(1.5629) q[6];
ry(1.5635) q[7];
ry(1.5681) q[8];
ry(1.5731) q[9];
crz(-0.0022) q[9], q[0];
crz(0.0022) q[8], q[9];
crz(0.0026) q[7], q[8];
crz(-0.0018) 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": []} |
301c7cb62c418d851e5b1ae9a93d36a6 | 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": [414, 398], "expectation_value": -84.31972580584632, "params": [0.8426, 0.0051, 2.991, 0.0051, 3.0042, 0.0012000000000000001, 0.0029000000000000002, 0.0008, -0.0028, 0.0005, 1.5470000000000002, 0.0045000000000000005, 2.2302, 0.006900000000000001, 2.9998, 0.0099, 2.9934000000000003, 0.0091, 1.3213000000000001... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(2) @ Z(0)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(5) @ Z(1)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(9) @ Z(6)) + 7.5 * (Z(7) @ Z(9)) + 7.5 * (Z(4) @ Z(7)) + 7.5 * (Z(8) @ Z(1)) + 7.5 * (Z(8) @ Z(5)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(8) @ Z(7)) + 5.0 * Z(0) + 16.5 * Z(1) + 8.0 * Z(2) + -5.5 * Z(3) + 11... | 18 | 10 | 1 | {"smallest_eigenvalues": [-111.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -102.0, "smallest_bitstrings": ["1001110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.8426) q[0];
rz(0.0051) q[0];
rx(2.991) q[1];
rz(0.0051) q[1];
rx(3.0042) q[2];
rz(0.0012) q[2];
rx(0.0029) q[3];
rz(0.0008) q[3];
rx(-0.0028) q[4];
rz(0.0005) q[4];
rx(1.547) q[5];
rz(0.0045) q[5];
rx(2.2302) q[6];
rz(0.0069) q[6];
rx(2.9998) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
b2a86e79e509d0d76748a475959a4d60 | matching | qaoa | {"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": [205, 109], "expectation_value": -10.43464135996587, "params": [[-0.0341], [0.0707]], "bitstrings": ["00110010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.0071412269377551275, 0.007545157585356753], "optimization_time": 2.8011679649353027} | 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) +... | 1 | 8 | 1 | {"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;
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(-0.2728) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.2728) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.2728) q[1];
cx q[0], q[1];
cx q[1], q[3];
rz(-0.2728) 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": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
-2852680511241144920 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 3, 4, 5, 6, 7, 9], [2, 3, 4, 6, 9], [9, 2, 5, 7], [3, 2, 10], [0, 1, 3, 4, 5, 7, 8, 9], [1, 3, 4, 6, 7, 9, 10], [0, 1, 3, 4, 6, 7, 8, 9], [0, 2, 6, 8, 10], [2, 5, 6], [0, 1, 4, 5, 6, 9, 10], [0, 1, 5, 6, 8, 9], [1, 2, 4, 5, 8, 9, 10]]} | {"states": [1407, 383], "expectation_value": -2.0577751763008747, "params": [1.3126, -0.2094, 1.0339, 0.0007, 1.0781, -0.2611, 1.008, 0.0099, 1.3504, -0.0061, 1.3126, 0.0058000000000000005, 1.0611000000000002, 0.35660000000000003, 0.9211, 0.006500000000000001, 1.3070000000000002, 0.0787, 1.058, 0.005, 1.3223, 0.0325, 1... | 0.11071428571428571 * (Z(0) @ Z(1)) + 0.07738095238095238 * (Z(4) @ Z(1)) + 0.05357142857142857 * (Z(4) @ Z(0)) + 0.125 * (Z(5) @ Z(1)) + 0.07738095238095238 * (Z(5) @ Z(0)) + 0.12738095238095237 * (Z(5) @ Z(4)) + 0.11666666666666667 * (Z(6) @ Z(1)) + 0.09285714285714286 * (Z(6) @ Z(0)) + 0.03571428571428571 * (Z(6) @ ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-2.5761904761904764], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.542857142857143, "smallest_bitstrings": ["11010000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.3126) q[0];
rz(-0.2094) q[0];
rx(1.0781) q[1];
rz(-0.2611) q[1];
rx(1.3504) q[2];
rz(-0.0061) q[2];
rx(1.0611) q[3];
rz(0.3566) q[3];
rx(1.307) q[4];
rz(0.0787) q[4];
rx(1.3223) q[5];
rz(0.0325) q[5];
rx(1.3385) q[6];
rz(-0.0349) q[6];
rx(1.3296) 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": []} |
5872145575389226923 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 5], [8, 2], [2, 3], [4, 6], [1, 4], [0, 7], [2, 7], [3, 7]]} | {"states": [305, 421], "expectation_value": -0.05692316582722816, "params": [[0.06770000000000001], [-0.053200000000000004]], "bitstrings": ["011001110", "001011010"], "total_optimization_steps": 10, "probabilities": [0.0021256978387720997, 0.0021256978387720997], "optimization_time": 2.3589258193969727} | 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(0) @ Z(7)) + 0.0 * Z(5) + 0.0 * Z(8) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(7) + 0.0 * Z(0) | 1 | 9 | 1 | {"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], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.0, "smallest_bitstrings": ["011001110", "100110001", "010100111", "101011000", "001011010", "111001100", "110100101", "111101100", "000110011", "000010011",... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[8];
rz(0.0677) q[8];
cx q[5], q[8];
cx q[8], q[2];
rz(0.0677) q[2];
cx q[8], q[2];
cx q[2], q[3];
rz(0.0677) q[3];
cx q[2], q[3];
cx q[6], q[4];
rz(0.0677) q[4];
cx q[6], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[8];
rz(x0) q[8];
cx q[5], q[8];
cx q[8], q[2];
rz(x0) q[2];
cx q[8], q[2];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];... | null | {"circuits": [], "gradients": []} |
aa593368bb5365cab30d0ff25322eaa9 | 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": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "s... | {"states": [3, 67], "expectation_value": -8.485601272686676, "params": null, "bitstrings": ["111111100", "110111100"], "total_optimization_steps": 46, "probabilities": [0.3459843567516485, 0.36809101070410793], "optimization_time": 54.929545640945435} | -0.75 * (Z(0) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(5)) + -0.5 * Z(3) + -0.25 * Z(0) + 1.0 * Z(8) + 0.25 * Z(1) + -0.5 * Z(6) + -2.5 * Z(5) + 1.0 * Z(2) + -0.25 * Z(4)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-9.25, -9.25, -9.25, -9.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.25, "smallest_bitstrings": ["110111110", "111111100", "110111100", "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];
ry(-1.5708) q[5];
ry(-1.5706) q[3];
cry(-1.5681) q[8], q[0];
ry(1.231) q[8];
ry(-0.6451) q[0];
ry(1.5681) q[7];
cry(1.4449) q[6], q[1];
cry(0.2812) q[7], q[8];
ry(-1.0342) q[4];
cry(-0.117... | 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[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
608439d8109f309abf6d90f531cfadb6 | 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": [374, 310], "expectation_value": -64.36254282350721, "params": [1.1638, 0.0067, 2.7989, 0.007, 0.0026000000000000003, 0.001, 1.5038, 0.0007, 2.7937000000000003, 0.0098, 2.7967, 0.0026000000000000003, 0.7358, 0.0058000000000000005, 2.8063000000000002, 0.0027, 2.8065, 0.00030000000000000003, 0.7112, 0.0071, 0.... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(9) @ Z(7)) + 6.0 * (Z(8) @ Z(1)) + 6.0 * (Z(8) @ Z(3)) + 6.0 * (Z(8) @ Z(7)) + 6.0 * (Z(8) @ Z(9)) + 4.5 * Z(0) + 12.0 * Z(1) + 9.5 * Z(3) + 9.0 * Z(4) + 2.0 * Z(6) + 6.5 * Z(5) +... | 18 | 10 | 1 | {"smallest_eigenvalues": [-85.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.0, "smallest_bitstrings": ["1011001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.1638) q[0];
rz(0.0067) q[0];
rx(2.7989) q[1];
rz(0.007) q[1];
rx(0.0026) q[2];
rz(0.001) q[2];
rx(1.5038) q[3];
rz(0.0007) q[3];
rx(2.7937) q[4];
rz(0.0098) q[4];
rx(2.7967) q[5];
rz(0.0026) q[5];
rx(0.7358) q[6];
rz(0.0058) q[6];
rx(2.8063) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
5685d04b4306b22ae56a2bbc733b9334 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [42, 81], "expectation_value": -0.7349354623144495, "params": [[-0.0785, -0.0661], [0.0796, 0.06960000000000001]], "bitstrings": ["1010101", "0101110"], "total_optimization_steps": 10, "probabilities": [0.011495962140052508, 0.011946902090421615], "optimization_time": 5.9149010181427} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 * Z(4) + -1.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1010101", "0110110", "0110101", "0101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0785) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(-0.0785) q[4];
cx q[0], q[4];
cx q[1], q[6];
rz(-0.0785) q[6];
cx q[1], q[6];
cx q[4], q[6];
rz(-0.0785) q[6];
cx q[4], q[6];
cx q[4], q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} |
90b952fb961a71c766735ab6825a9e54 | 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": 5}, {"source": 2, "target": 7}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "ta... | {"states": [110, 96], "expectation_value": -0.7820436312871627, "params": [[0.064], [-0.0521]], "bitstrings": ["0010001", "0011111"], "total_optimization_steps": 10, "probabilities": [0.009728300246237024, 0.009875327820136977], "optimization_time": 1.8928828239440918} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(6)) + 1.0 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + -3.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + -2.0 * Z(6) + -1.5 * Z(2) + -2.0 * Z(3) + 1.5 * Z(5) + 0.5 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["0011111"]} | 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(-0.128) q[0];
cx q[1], q[0];
cx q[6], q[2];
rz(-0.256) q[2];
cx q[6], q[2];
cx q[6], q[3];
rz(0.128) q[3];
cx q[6], q[3];
cx q[2], q[3];
rz(0.064) q[3];
cx q[2], q[3];
cx q[6], q[5];
rz(... | 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[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[... | {"node": 5} | {"circuits": [], "gradients": []} |
18dd4c426cbe67a44eb1a1feaa80acf2 | 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": 4, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [96, 97], "expectation_value": -12.611659070465166, "params": [-0.5126000000000001, 0.037000000000000005, -0.2535, 0.1537, 0.8554, -0.1328, -0.0027, 1.1696, -0.0027, 1.6767, -0.0024000000000000002, 1.1057000000000001, 0.0155, 1.9964000000000002, 0.645, 2.2273, 0.4005, -0.2727, 0.4274, 0.7354, 1.3070000000000... | -1.0 * (Z(0) @ Z(4)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + -1.75 * (Z(7) @ Z(1)) + -1.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z... | 4 | 8 | 3 | {"smallest_eigenvalues": [-13.0, -13.0, -13.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -12.0, "smallest_bitstrings": ["10000000", "10001000", "10011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.5126) q[0];
rz(0.037) q[0];
rx(-0.2535) q[1];
rz(0.1537) q[1];
rx(0.8554) q[2];
rz(-0.1328) q[2];
rx(-0.0027) q[3];
rz(1.1696) q[3];
rx(-0.0027) q[4];
rz(1.6767) q[4];
rx(-0.0024) q[5];
rz(1.1057) q[5];
rx(0.0155) q[6];
rz(1.9964) q[6];
rx(0.645) 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
a5ab45828095e3b6ad01a6edd098559d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [99, 101], "expectation_value": -4.999863629356086, "params": null, "bitstrings": ["0011100", "0011010"], "total_optimization_steps": 33, "probabilities": [1.6414154693009737e-05, 0.9999120031945553], "optimization_time": 31.725839138031006} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(3) + -0.5 * Z(1) + -1.0 * Z(5) + -0.5 * Z(6) + 0.0 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0011010"]} | 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[5];
ry(-1.4449) q[2];
ry(1.4417) q[4];
ry(1.4417) q[1];
ry(1.4417) q[0];
ry(1.4417) q[6];
cry(-0.1259) q[6], q[2];
cry(-0.1259) q[4], q[5];
cry(0.1217) q[6], q[0];
cry(0.12... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... |
-2952389905029746833 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 5], [0, 7], [4, 5], [2, 5], [2, 4], [6, 7], [3, 5], [0, 4], [1, 4], [1, 6], [0, 5], [0, 6], [4, 6], [0, 8], [8, 5], [0, 2], [2, 7], [1, 2], [8, 7], [3, 7], [2, 3]]} | {"states": [117, 394], "expectation_value": -0.25730326155020744, "params": [[0.0767], [-0.08360000000000001]], "bitstrings": ["110001010", "001110101"], "total_optimization_steps": 10, "probabilities": [0.002432023953758481, 0.002432023953758481], "optimization_time": 3.4146037101745605} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.5, "smallest_bitstrings": ["001110101", "110110010", "001001101", "110110001", "001001110", "110001010"]} | 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[1];
rz(0.0767) q[1];
cx q[5], q[1];
cx q[5], q[0];
rz(0.0767) q[0];
cx q[5], q[0];
cx q[0], q[7];
rz(0.0767) q[7];
cx q[0], q[7];
cx q[5], q[4];
rz(0.0767) q[4];
cx q[5], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[0], q[7];
rz(x0) q[7];
cx q[0], q[7];... | null | {"circuits": [], "gradients": []} |
d2e3f71e5c020057da0dd1812bdf6517 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [49133, 47085], "expectation_value": -13.108673628318911, "params": [0.7765000000000001, 0.1041, 0.3403, 0.28340000000000004, 0.7878000000000001, 0.1318, 0.8116, 0.049300000000000004, 0.38330000000000003, 0.3216, 0.8053, -0.0083, 0.7668, 0.0629, 0.5794, 0.12000000000000001, 0.7608, 0.11080000000000001, 0.634... | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) ... | 18 | 16 | 4 | {"smallest_eigenvalues": [-15.999999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999956, "smallest_bitstrings": ["0100100000010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(0.7765) q[0];
rz(0.1041) q[0];
rx(0.3403) q[1];
rz(0.2834) q[1];
rx(0.7878) q[2];
rz(0.1318) q[2];
rx(0.8116) q[3];
rz(0.0493) q[3];
rx(0.3833) q[4];
rz(0.3216) q[4];
rx(0.8053) q[5];
rz(-0.0083) q[5];
rx(0.7668) q[6];
rz(0.0629) q[6];
rx(0.5794) 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... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 0}, {"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 0}]}} | {"circuits": [], "gradients": []} |
3d48be966ec63d77ff020a1223ab7d08 | 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": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 3, "s... | {"states": [169, 161], "expectation_value": -5.243260873863064, "params": [[-0.1385, -0.11570000000000001], [0.15330000000000002, 0.1221]], "bitstrings": ["101010110", "101011110"], "total_optimization_steps": 20, "probabilities": [0.014164181877121566, 0.015443130763177028], "optimization_time": 4.99813985824585} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(2)) + -0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(4)) + 2.25 * (Z(8) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(7)) + -0.75 * (Z(3) @ Z(8)) + -0.5 * (Z(6) @ Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-12.5, -12.5, -12.5, -12.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -11.5, "smallest_bitstrings": ["111011110", "101011110", "101010110", "111010110"]} | 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(0.1385) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2078) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0693) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(0.1385) q[4];
cx q[0], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
30817b6a61eae6109bfdbb2e6204f6e8 | 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": 4, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 8}, {"capacity": 3, "s... | {"states": [153, 185], "expectation_value": -14.016113590738872, "params": null, "bitstrings": ["101100110", "101000110"], "total_optimization_steps": 73, "probabilities": [0.32580704260615906, 0.335061729627356], "optimization_time": 130.80701065063477} | -1.0 * (Z(0) @ Z(2)) + -1.0 * (Z(6) @ Z(2)) + -1.5 * (Z(6) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + 2.75 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(8)) + -1.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(6)) + -1.25 * (Z(3) @ Z(7)) + -1.0 * (Z(4) @ Z(6)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(8)) + -1.25 * Z(2) + -0.25 * Z(0) + -4.5 * Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-17.0, -17.0, -17.0, -17.0, -17.0, -17.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -14.0, "smallest_bitstrings": ["101010110", "101000100", "101110110", "101100110", "101000110", "101010100"]} | 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(-0.7408) q[6];
cry(-1.5708) q[8], q[0];
ry(-1.5708) q[2];
cry(-0.8008) q[8], q[6];
ry(0.916) q[8];
ry(-0.1369) q[0];
ry(1.5708) q[5];
cry(0.5903) q[5], q[6];
cry(-0.9668) q[3], q[6];
ry... | 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(-0.7408) 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] = ... |
a0d529ca36dd3a1366498490d13dd5e2 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": ... | {"states": [14, 49], "expectation_value": -0.808035504705211, "params": [[0.0616, 0.07150000000000001, 0.061700000000000005, 0.060500000000000005], [-0.031, -0.0629, -0.0539, -0.0546]], "bitstrings": ["110001", "001110"], "total_optimization_steps": 10, "probabilities": [0.03024141812716545, 0.03138950224540307], "opti... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["001110", "110001", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(0.0616) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(0.0616) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(0.0616) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(0.0616) q[3];
cx q[1], q[3];
cx q[4], q[5];
rz(0.0616... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
93141c357d164fcf2a36ba666f8f01e3 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 2, "target": 3}, {"source": 1, "target": 3}]} | {"states": [1774, 3499], "expectation_value": -1.4508505433115757, "params": [[-0.049600000000000005, -0.045000000000000005, -0.055900000000000005], [0.058300000000000005, 0.0557, 0.0631]], "bitstrings": ["100100010001", "001001010100"], "total_optimization_steps": 10, "probabilities": [0.0004967869341801576, 0.0004967... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 3 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.75, "smallest_bitstrings": ["100100001010", "001001100010", "010010100001", "010010001100", "001001010100", "100100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(-0.0496) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0496) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0496) q[2];
cx q[0], q[2];
cx q[0], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
-1637698175366698525 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 5, 6], [2, 4], [0, 2, 6, 7], [3, 7], [1, 3, 6], [8, 2, 3], [8, 0, 3, 5], [0, 4, 6], [8, 4], [1, 2], [8, 6], [1, 4, 5, 7], [3, 4, 6]]} | {"states": [433, 124], "expectation_value": -1.566067401669779, "params": [[-0.3654], [0.3653]], "bitstrings": ["001001110", "110000011"], "total_optimization_steps": 40, "probabilities": [0.009054899019983045, 0.009159376908734904], "optimization_time": 4.005513668060303} | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.41666666666666663 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.083333333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.166666666666666, "smallest_bitstrings": ["001001011", "101000011", "110000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[0];
rz(-0.1218) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(-0.1218) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(-0.1218) q[5];
cx q[0], q[5];
cx q[3], q[6];
rz(-0.3045) q[6];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | null | {"circuits": [], "gradients": []} |
26dfafc939853afb76c7133b018d9b2d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [7598, 8110], "expectation_value": -2.7696163885327207, "params": [[[0.044500000000000005, 0.6777000000000001], [1.4060000000000001, -0.0031000000000000003], [1.3978000000000002, 0.0034000000000000002], [1.4019000000000001, 0.0034000000000000002], [0.8219000000000001, 0.0724], [1.1188, -0.0039000000000000003... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(0)) + 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(3) @ Z(0) @ Z(1)) + -0.125 * (Z(3) @ Z(0) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z... | 1 | 14 | 2 | {"smallest_eigenvalues": [-4.687500000000011], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.687499999999984, "smallest_bitstrings": ["10000001010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
rx(0.0445) q[0];
rz(0.6777) q[0];
rx(1.406) q[1];
rz(-0.0031) q[1];
rx(1.3978) q[2];
rz(0.0034) q[2];
rx(1.4019) q[3];
rz(0.0034) q[3];
rx(0.8219) q[4];
rz(0.0724) q[4];
rx(1.1188) q[5];
rz(-0.0039) q[5];
rx(1.4064) q[6];
rz(-0.0009) q[6];
rx(0.3657) 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": []} |
93141c357d164fcf2a36ba666f8f01e3 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [25, 22], "expectation_value": -0.04370653865544137, "params": [[-0.044000000000000004, -0.0162], [0.056900000000000006, 0.0373]], "bitstrings": ["00110", "01001"], "total_optimization_steps": 10, "probabilities": [0.03386602001756348, 0.0338660200175635], "optimization_time": 2.8207085132598877} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["00110", "01001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.022) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.022) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.022) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.022) q[0];
cx q[1], q[0];
cx q[2], q[1];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | null | {"circuits": [], "gradients": []} |
bc66253cf8720682f4eebbf8e558ad61 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [9, 1], "expectation_value": -1.3650866067172387, "params": [[0.0671, 0.0502], [-0.0732, -0.0453]], "bitstrings": ["110110", "111110"], "total_optimization_steps": 10, "probabilities": [0.025919292629393673, 0.02664700545613326], "optimization_time": 2.98740291595459} | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * Z(1) + -0.25 * Z(0) + -2.25 * Z(3) + 0.75 * Z(2) + 1.5 * Z(5) + 1.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-10.25, -10.25, -10.25, -10.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.25, "smallest_bitstrings": ["111110", "111100", "110100", "110110"]} | 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(-0.1678) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.1678) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.1342) q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(-0.1007) q[2];
cx q[1], q[2];
cx q[0], q[5];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
20c133645d20a89da49e929cc5b077c4 | 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, 174], "expectation_value": -49.394699380602496, "params": [1.1915, 0.0045000000000000005, 2.4042000000000003, 0.009000000000000001, 1.0265, 0.0022, 2.4053, 0.0026000000000000003, 1.526, 0.0076, 2.3993, 0.0038, 2.4015, 0.0083, 2.4049, 0.008700000000000001, 1.5330000000000001, 0.008, 0.0019, 0.0095, 0.00... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(8) @ Z(5)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(2)) + 5.5 * (Z(7) @ Z(8)) + 11.0 * Z(1) + 2.5 * Z(0) + 1.5 * Z... | 18 | 9 | 1 | {"smallest_eigenvalues": [-88.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.5, "smallest_bitstrings": ["101010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.1915) q[0];
rz(0.0045) q[0];
rx(2.4042) q[1];
rz(0.009) q[1];
rx(1.0265) q[2];
rz(0.0022) q[2];
rx(2.4053) q[3];
rz(0.0026) q[3];
rx(1.526) q[4];
rz(0.0076) q[4];
rx(2.3993) q[5];
rz(0.0038) q[5];
rx(2.4015) q[6];
rz(0.0083) q[6];
rx(2.4049) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
e20d802aad08632b046206ac953dd90b | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target":... | {"states": [261, 773], "expectation_value": -7.675211791873778, "params": [[[1.6213000000000002, 0.009000000000000001], [1.7075, 0.005], [0.2952, 0.0038], [1.5104, 0.0014], [-0.0022, 0.0002], [-0.0033, 0.0095], [0.0019, 0.0057], [1.7115, 0.0015], [0.0037, 0.004200000000000001], [1.6973, 0.0079]]], "bitstrings": ["10111... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-9.5, -9.5, -9.5, -9.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.5, "smallest_bitstrings": ["1010111010", "1101100110", "0111111000", "0011111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.6213) q[0];
rz(0.009) q[0];
rx(1.7075) q[1];
rz(0.005) q[1];
rx(0.2952) q[2];
rz(0.0038) q[2];
rx(1.5104) q[3];
rz(0.0014) q[3];
rx(-0.0022) q[4];
rz(0.0002) q[4];
rx(-0.0033) q[5];
rz(0.0095) q[5];
rx(0.0019) q[6];
rz(0.0057) q[6];
rx(1.7115) 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": []} |
e5072363555217c12b11c2b062e2c0b6 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 6}, {"weight": 16, "source": 0, "target": 8}, {"weight": 7, "source... | {"states": [241, 217], "expectation_value": -17.73130994957336, "params": [[-0.036000000000000004, 0.069], [0.06430000000000001, -0.041]], "bitstrings": ["100001110", "100100110"], "total_optimization_steps": 10, "probabilities": [0.005277422423896986, 0.005514992068332916], "optimization_time": 3.3154094219207764} | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 18.0 * Z(2) + 2.0 * Z(0) + 17.5 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-85.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.5, "smallest_bitstrings": ["100100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.36) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.36) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.36) q[1];
cx q[0], q[1];
cx q[2], q[5];
rz(-0.36) q[5];
cx q[2], q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
9645644fcb46d75a104e4de81b9201a7 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [106, 43], "expectation_value": -4.244391983267604, "params": null, "bitstrings": ["0010101", "1010100"], "total_optimization_steps": 28, "probabilities": [0.0019201550878499567, 0.9963308260200148], "optimization_time": 18.14925193786621} | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(6) + 1.0 * Z(3) + -0.75 * Z(1) + -0.75 * Z(4) + 0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.25, "smallest_bitstrings": ["1111110", "1010100", "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(1.5681) q[3];
ry(1.4449) q[5];
cry(1.4433) q[5], q[1];
ry(1.4449) q[6];
cry(-1.5481) q[6], q[0];
ry(-1.4449) q[4];
cry(-1.4408) q[3], q[2];
cry(-0.1258) q[3], q[4];
cry(0.0892) q[3], q[5];
cry(0.089) q... | 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(1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
20b257e7ab3ea05503daa46ec3868b05 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [37, 52], "expectation_value": -1.249352163655094, "params": [[-0.0698, -0.0697, -0.058600000000000006], [0.0779, 0.0785, 0.07350000000000001]], "bitstrings": ["011010", "001011"], "total_optimization_steps": 10, "probabilities": [0.028325361937179813, 0.028325361937179827], "optimization_time": 6.1633324623... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * Z(2) + -0.5 * Z(0) + -1.5 * Z(4) + -1.0 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["001011", "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];
cx q[2], q[0];
rz(-0.0698) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.0698) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0698) q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-0.0698) q[1];
cx q[2], q[1];
cx q[4], q[1];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
8a5dc9be309c81780f6428266fc77bbc | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 1, "target": 2}]} | {"states": [379, 371], "expectation_value": -4.153319803665139, "params": [2.6962, 0.006200000000000001, 1.4888000000000001, 0.003, 2.6864000000000003, 0.0027, 2.6941, 0.0081, 2.6938, 0.0039000000000000003, 1.4955, 0.0034000000000000002, 1.4892, 0.0037, 2.7008, 0.0014, 2.6993, 0.0047, 0.008, 0.005200000000000001, 0.006... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(8... | 18 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["010001100", "100010001", "100001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(2.6962) q[0];
rz(0.0062) q[0];
rx(1.4888) q[1];
rz(0.003) q[1];
rx(2.6864) q[2];
rz(0.0027) q[2];
rx(2.6941) q[3];
rz(0.0081) q[3];
rx(2.6938) q[4];
rz(0.0039) q[4];
rx(1.4955) q[5];
rz(0.0034) q[5];
rx(1.4892) q[6];
rz(0.0037) q[6];
rx(2.7008) 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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 2, "target": 1}]}} | {"circuits": [], "gradients": []} |
d1cbae91a8cc7bc4b3c16493bbaa3c02 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": ... | {"states": [0, 256], "expectation_value": -12.072585277484288, "params": [-0.4554, -0.0014, 0.47790000000000005, 0.0026000000000000003, -0.0007, 0.5778, 0.0049, 0.0064, -0.035, -0.0008, 0.0359, 0.0081, 0.8073, -0.0043, 0.8033, 0.0066, -0.0135, 0.1636, 0.0145, 0.0007, 0.014700000000000001, -0.0015, -0.0083, 0.0005, 0.01... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + -0.75 * (Z(10) @ Z(1)) + -0.5 * (Z(10) @ Z(0)) + -0.25 * (Z(9) @ Z(1)) + -0.5 * (Z(11) @ Z(1)) + -0.75 * (Z(11) @ Z(5)) + -0.5 * (Z(11) @ Z(9)) + -0.5 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(10)) + -0.25 * (Z(... | 6 | 12 | 1 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["111011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.4554) q[0];
rz(-0.0014) q[0];
rx(-0.0007) q[1];
rz(0.5778) q[1];
rx(-0.035) q[2];
rz(-0.0008) q[2];
rx(0.8073) q[3];
rz(-0.0043) q[3];
rx(-0.0135) q[4];
rz(0.1636) q[4];
rx(0.0147) q[5];
rz(-0.0015) q[5];
rx(0.0146) q[6];
rz(0.0027) q[6];
rx(-0.0322) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
89d213db5d99a8088aae8fb8b9eebd4c | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "... | {"states": [4078, 4094], "expectation_value": -20.629752408871287, "params": null, "bitstrings": ["000000010001", "000000000001"], "total_optimization_steps": 100, "probabilities": [0.0918134893527351, 0.3098311375026517], "optimization_time": 360.6622734069824} | -2.0 * (Z(0) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(4)) + -2.5 * (Z(2) @ Z(3)) + 1.0 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + -2.5 * (Z(5) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + -3.0 * (Z(9) @ Z(5)) + -2.0 * (Z(10) @ Z(8)) + -2... | 1 | 12 | 1 | {"smallest_eigenvalues": [-35.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.0, "smallest_bitstrings": ["000000000001"]} | 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(1.5708) q[10], q[7];
cry(1.5708) q[7], q[8];
cry(0.72) q[8], q[10];
cry(1.5709) q[8], q[5];
cry(1.5262) q[5], q[9];
cry(1.5708) q[9], q[6];
cry(-1.8938) q[6... | null | {"node": 12} | {"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(1.5708) q[10], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measur... |
3fa23bf7f5997a6a9414c1a1e69c52c7 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, ... | {"states": [56, 67], "expectation_value": -1.3677796862730063, "params": [[0.0708, 0.0703, 0.08170000000000001], [-0.0748, -0.0563, -0.0716]], "bitstrings": ["1000111", "0111100"], "total_optimization_steps": 10, "probabilities": [0.01638611342136604, 0.017584850463614687], "optimization_time": 4.734643220901489} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(3) + -1.0 * Z(4) + -1.5 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1001011", "1011010", "1000111", "0111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0708) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0708) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.0708) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.0708) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
f907fef774f6ac859ad4ff3ba322e9a8 | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 6}, {"weight": 1, "source": 1, "target... | {"states": [21926, 21930], "expectation_value": -1.7125674644793083, "params": null, "bitstrings": ["1010101001011001", "1010101001010101"], "total_optimization_steps": 100, "probabilities": [0.12450189692466061, 0.2686595718944882], "optimization_time": 771.253634929657} | 0.25 * (Z(0) @ Z(1)) + -0.0006944444444444445 * (Z(2) @ Z(0)) + -0.0006944444444444445 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0002314814814814815 * (Z(4) @ Z(0)) + -0.0011574074074074073 * (Z(4) @ Z(2)) + 0.0002314814814814815 * (Z(5) @ Z(1)) + -0.0011574074074074073 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0009... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.0228395061728057], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0228395061727613, "smallest_bitstrings": ["1010101001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cry(-0.5941) q[14], q[15];
cry(-0.5941) q[3], q[2];
cry(-0.5945) q[1], q[0];
cry(-0.5944) q[7], q[6];
cry(-0.5938) q[12], q[... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncry(-0.5941) q[14], q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure ... |
b4844a241e7c75ea7eb690acd3c4c004 | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [411, 413], "expectation_value": -5.710684425785294, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741882, 0.8578073217068282], "optimization_time": 110.2882719039917} | 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"]} | 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(1.5681) q[8];
ry(1.5681) q[4];
ry(1.5681) q[0];
cry(-1.0342) q[6], q[7];
cry(-1.0342) q[5], q[2];
ry(1.3762) q[1];
cry(-0.5042) q[1], q[2];
ry(1.1464) q[5];
cry(-1.3967) q[5], q[3];
cry... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 0}, {"id": 1}], "edges": [{"source": 2, "target": 0}, {"source": 2, "target": 1}, {"source": 0, "target": 1}]}} | {"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(1.5681) q[8];\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... |
a6da0588e4f06076b5c2f06ef98c16c3 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [146, 53], "expectation_value": -0.3742784759327852, "params": [[-0.4712, 0.0431, 0.2858, 0.2363, -0.41600000000000004, -0.48250000000000004, -0.0033, 0.4812], [0.49360000000000004, 0.31020000000000003, -0.0971, 0.4428, -0.1341, -0.009000000000000001, -0.4525, 0.4829], [0.0801, 0.3764, -0.3734, 0.47040000000... | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(0) @ Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(5) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(3) @ Z(6)) + -0.25 *... | 9 | 8 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.25, "smallest_bitstrings": ["10101001", "10101100", "10110001", "11011000", "11010001", "11101000", "11001010"]} | 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];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(-0.4712) q[0];
rx(0.0431) q[1];
rx(0.2858) q[2];
rx(0.2363) q[3];
rx(-0.416) q[4];
rx(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
a2fbaabb441862c2d900444ba4ef581f | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"sour... | {"states": [15, 255], "expectation_value": -11.581739995391064, "params": null, "bitstrings": ["11110000", "00000000"], "total_optimization_steps": 100, "probabilities": [0.08832625714626348, 0.5373861972861784], "optimization_time": 131.01187133789062} | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(7)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * Z(1) + 1.0 * Z(0) + 1.0 * Z(2) + -1.5 * Z(3) + 0.5 * Z(7) + 0.5 *... | 5 | 8 | 1 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["00000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(1.5708) q[3], q[0];
cry(1.5708) q[0], q[2];
cry(1.1303) q[2], q[3];
cry(-0.1763) q[2], q[0];
ry(-0.3708) q[0];
cry(0.9852) q[1], q[0];
cry(1.5706) q[5], q[7];
ry(1.056) q[5];
cry(1.5707) q[5],... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5708) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... |
5eafdf257b5f38d16f920bc4f2a96381 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [235, 229], "expectation_value": -93.75264193084199, "params": [[[1.5729, 1.5736], [0.6941, 1.5675000000000001], [-1.568, 1.5735000000000001], [-1.5771000000000002, 1.5681], [1.5728, 1.5733000000000001], [1.564, 1.5730000000000002], [1.5759, -0.3433], [-1.5834000000000001, 0.0454], [1.5721, 1.573000000000000... | 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(1) @ Z(5)) + 7.5 * (Z(6) @ Z(3)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(4) @ Z(6)) + 7.5 * (Z(0) @ Z(4)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(4)) + 7.5 * (Z(10) @ Z(0)) + 7.5 * (Z(10) @ Z(8)) + 7.5 * (Z(10) @ Z(9)) + -4.5 * Z(2) + 7.0 * Z(3) + 14.... | 15 | 11 | 1 | {"smallest_eigenvalues": [-126.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -106.0, "smallest_bitstrings": ["11100011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.5729) q[0];
ry(0.6941) q[1];
ry(-1.568) q[2];
ry(-1.5771) q[3];
ry(1.5728) q[4];
ry(1.564) q[5];
ry(1.5759) q[6];
ry(-1.5834) q[7];
ry(1.5721) q[8];
ry(1.5668) q[9];
ry(1.5736) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
9206013117727764790 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 6], [1, 2], [1, 5, 7], [11, 6], [0, 8, 7], [9, 2, 4], [4, 7], [0, 3], [8, 1], [9, 11], [4, 6], [11, 1, 3], [3, 2, 10], [0, 9], [8, 4], [9, 5], [11, 10, 3], [0, 4], [8, 5], [8, 11, 7], [3, 5, 7], [8, 9, 7], [2, 7], [3, 6, 7], [2, 6], [10, 11, 4], [4, 5... | {"states": [2907, 2651], "expectation_value": -4.000048799859821, "params": [[0.1423, 0.1685, 1.5969, 0.2657, 0.2252, 1.5944, -0.023100000000000002, 1.3814, 0.2751, 0.0534, 0.17450000000000002, 1.3853], [1.5998, 0.6958000000000001, 1.4442000000000002, 1.5906, 0.7512000000000001, 1.4541000000000002, 0.7526, 1.5902, 1.59... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.3333333333333333 * (Z(7) @ Z(5)) + 0.5 * ... | 10 | 12 | 1 | {"smallest_eigenvalues": [-6.999999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.66666666666667, "smallest_bitstrings": ["010110100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.1423) q[0];
ry(0.1685) q[1];
ry(1.5969) q[2];
ry(0.2657) q[3];
ry(0.2252) q[4];
ry(1.5944) q[5];
ry(-0.0231) q[6];
ry(1.3814) q[7];
ry(0.2751) q[8];
ry(0.0534) q[9];
ry(0.1745) q[10];
ry(1.3853) q[11];
cz q[11], q[10];
cz q[10], q[9];
cz q[9], q[8];
cz ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-6707064883952822093 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4, 5, 6], [0, 1, 3, 4], [0, 1, 2, 4]]} | {"states": [92, 93], "expectation_value": -0.5925231699640656, "params": null, "bitstrings": ["0100011", "0100010"], "total_optimization_steps": 46, "probabilities": [0.13983570694376019, 0.22158458019999694], "optimization_time": 50.32991170883179} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.16666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-0.75, -0.75, -0.75, -0.75, -0.75, -0.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -0.6666666666666667, "smallest_bitstrings": ["0100010", "0100001", "0011000", "1000010", "1000001", "0000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.3016) q[4];
ry(0.4344) q[3];
cry(0.3377) q[4], q[3];
cry(-0.3323) q[0], q[1];
ry(0.2878) q[2];
cry(-0.3119) q[1], q[0];
cry(0.292) q[4], q[2];
cry(0.2728) q[2], q[3];
cry(-0.2653) q[6], q[5];
cry(0.2... | 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(1.3016) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
61fc58e7ea5c0b858181cef6a00713e4 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 6}, {"weight": 6, "source": 2, "target": 3}, {"weight": 13, "source": 2, "targ... | {"states": [252, 188], "expectation_value": -79.37215564734092, "params": [-0.0023, 0.7311000000000001, 1.0754000000000001, -0.053000000000000005, 0.47140000000000004, -0.2812, 1.0713000000000001, 0.0024000000000000002, 1.0645, -0.003, 1.0666, 0.0022, 1.0685, -0.18960000000000002, 0.0475, -0.507, 0.28290000000000004, -... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 9.0 * Z(1) +... | 18 | 9 | 3 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["101000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0023) q[0];
rz(0.7311) q[0];
rx(1.0754) q[1];
rz(-0.053) q[1];
rx(0.4714) q[2];
rz(-0.2812) q[2];
rx(1.0713) q[3];
rz(0.0024) q[3];
rx(1.0645) q[4];
rz(-0.003) q[4];
rx(1.0666) q[5];
rz(0.0022) q[5];
rx(1.0685) q[6];
rz(-0.1896) q[6];
rx(0.0475) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
75e38f85452ebc08ee898a0ac8b18be5 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target"... | {"states": [0, 5], "expectation_value": -3.999905744134601, "params": null, "bitstrings": ["11111", "11010"], "total_optimization_steps": 15, "probabilities": [1.726280242127105e-05, 0.9999394822330047], "optimization_time": 10.846797466278076} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(3) + -1.0 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["11010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5708) q[0];
ry(-1.5681) q[1];
ry(-1.4449) q[3];
ry(1.4417) q[4];
ry(1.4417) q[2];
cry(-0.1259) q[4], q[3];
cry(0.1217) q[4], q[2];
cry(0.1214) q[2], q[4];
cry(-0.0027) q[4], q[1];
c[0] = measure q[0];
c[1] = measur... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
71bc29fb36488a293ce19bf05d480b6c | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [88, 7], "expectation_value": -3.3889896797491654, "params": [[0.035, 0.0426], [-0.0364, -0.0392]], "bitstrings": ["0100111", "1111000"], "total_optimization_steps": 10, "probabilities": [0.01084153120157329, 0.011202311912881936], "optimization_time": 5.487249374389648} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 18 | 7 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.1575) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1575) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1575) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.1575) q[3];
cx q[1], q[3];
cx q[0], q[3];
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... | {"k": 4} | {"circuits": [], "gradients": []} |
2e9df40997cb418d8be634dabc4b4463 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, ... | {"states": [406, 407], "expectation_value": -0.7823894961233725, "params": [0.6461, 0.0835, 0.8037000000000001, 0.0152, 0.7994, -0.0006000000000000001, 0.675, -0.0159, 0.0027, 0.49460000000000004, 0.7975, 0.0172, 0.5745, 0.3759, 0.8091, 0.46380000000000005, 0.8077000000000001, 0.0039000000000000003, 0.7925000000000001,... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 16 | 10 | 2 | {"smallest_eigenvalues": [-3.90625, -3.90625, -3.90625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.90625, "smallest_bitstrings": ["0001111000", "1000101001", "1001101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.6461) q[0];
rz(0.0835) q[0];
rx(0.8037) q[1];
rz(0.0152) q[1];
rx(0.7994) q[2];
rz(-0.0006) q[2];
rx(0.675) q[3];
rz(-0.0159) q[3];
rx(0.0027) q[4];
rz(0.4946) q[4];
rx(0.7975) q[5];
rz(0.0172) q[5];
rx(0.5745) q[6];
rz(0.3759) q[6];
rx(0.8091) 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": []} |
8a5dc9be309c81780f6428266fc77bbc | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 1, "target": 2}]} | {"states": [245, 238], "expectation_value": -0.5537860869899199, "params": [[0.0351, 0.07250000000000001], [-0.0228, -0.0516]], "bitstrings": ["100001010", "100010001"], "total_optimization_steps": 10, "probabilities": [0.0024962038568029712, 0.002496206042947284], "optimization_time": 7.305197238922119} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(8... | 1 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["100010001", "010001100", "100001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(0.0351) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0351) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.0351) q[1];
cx q[0], q[1];
cx q[0], q[3];
rz(0.0351) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h ... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 2, "target": 1}]}} | {"circuits": [], "gradients": []} |
cf866b0685f0f2b92fc41e952765f334 | 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": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 3... | {"states": [23, 31], "expectation_value": -6.49998726393998, "params": null, "bitstrings": ["1101000", "1100000"], "total_optimization_steps": 36, "probabilities": [0.49999818069426316, 0.49999818069426316], "optimization_time": 28.366456031799316} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + -1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(2) + 0.25... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["1100000", "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];
ry(1.5708) q[2];
cry(1.5681) q[2], q[5];
cry(1.5486) q[2], q[4];
cry(1.5681) q[2], q[6];
cry(-1.5706) q[2], q[0];
cry(-1.5681) q[2], q[1];
ry(0.0222) q[4];
cry(-0.0002) q[6], q[0];
cry(-0.0027) q[6], q[1]... | 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", "... |
e1ee122704659894b3696f576081a2cf | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 2}, {"weight": 13, "source": 1, "target": 6}, {"weight": 7, "source": 2, "targ... | {"states": [217, 218], "expectation_value": -42.26491461623393, "params": null, "bitstrings": ["100100110", "100100101"], "total_optimization_steps": 100, "probabilities": [0.1663030096086743, 0.18861779229297382], "optimization_time": 188.80972123146057} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 14.5 * Z(1) + 3.0 * Z(0) + 11.0 * ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-23.4164) q[4];
ry(-22.6958) q[7];
cry(-11.1263) q[4], q[7];
ry(27.554) q[2];
cry(-61.8995) q[4], q[2];
ry(3.2544) q[8];
cry(-25.6677) q[4], q[8];
ry(5.6979) q[1];
cry(-2.7186) q[4], q[... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-23.4164) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] =... |
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": 34.64809608459473} | -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 | 1 | {"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", ... |
5dad688a93671469362a3d3d00961b05 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 3}]} | {"states": [17, 12], "expectation_value": -0.037300268825686315, "params": [[-0.0485], [0.059800000000000006]], "bitstrings": ["01110", "10011"], "total_optimization_steps": 10, "probabilities": [0.032526224459720296, 0.0325262244597203], "optimization_time": 1.151228666305542} | 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 | 1 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.25, "smallest_bitstrings": ["11010", "01110", "10011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.0485) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0485) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.0243) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(-0.0243) q[3];
cx q[2], q[3];
cx q[4], q[3];
rz(-0.0243) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[4];... | null | {"circuits": [], "gradients": []} |
f0c586e65683e343b780159a25ea9cdd | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 11}, {"capacity": 4, "source":... | {"states": [0, 2047], "expectation_value": -26.35014786324273, "params": [[[0.0028, -0.4514], [-0.0025, -0.0027], [-0.0022, -0.0027], [-0.0024000000000000002, -0.0029000000000000002], [0.0029000000000000002, -0.0028], [-0.0017000000000000001, -0.0023], [-0.0036000000000000003, -0.0025], [-0.0012000000000000001, 0.002],... | -0.5 * (Z(0) @ Z(5)) + -1.0 * (Z(3) @ Z(5)) + 0.75 * (Z(3) @ Z(0)) + -2.25 * (Z(1) @ Z(5)) + -1.25 * (Z(8) @ Z(5)) + -1.5 * (Z(8) @ Z(1)) + -1.25 * (Z(2) @ Z(5)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(8)) + -0.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(8)) + -1.0 * (Z(4) @ Z(2)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(10) @ ... | 15 | 12 | 2 | {"smallest_eigenvalues": [-27.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.0, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0028) q[0];
ry(-0.0025) q[1];
ry(-0.0022) q[2];
ry(-0.0024) q[3];
ry(0.0029) q[4];
ry(-0.0017) q[5];
ry(-0.0036) q[6];
ry(-0.0012) q[7];
ry(-0.0032) q[8];
ry(-0.002) q[9];
ry(0.0023) q[10];
ry(1.6686) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
9b6c90aee56ab84919f7c826e678a024 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [25, 28], "expectation_value": -3.499937482943581, "params": null, "bitstrings": ["00110", "00011"], "total_optimization_steps": 22, "probabilities": [1.6356545604728112e-05, 0.9999687420766158], "optimization_time": 15.228452920913696} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + 0.0 * Z(1) + -0.5 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["00011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5708) q[3];
ry(-1.4449) q[4];
ry(1.4449) q[1];
ry(1.4417) q[0];
ry(1.4417) q[2];
cry(-0.1259) q[2], q[4];
cry(0.1217) q[1], q[0];
cry(0.1216) q[0], q[2];
cry(0.1186) q[2], q[1];
cry(-0.0005) q[1], q[4];
cry(0.0074)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
64945dc18f78a33560af97db99744897 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [48, 112], "expectation_value": -3.5102029343750987, "params": [0.4058, 0.0005, 0.4031, -0.0004, 0.4072, -0.0008, -0.0039000000000000003, 0.1976, 0.0064, 0.2018, 0.11410000000000001, 0.22940000000000002, -0.0018000000000000002, 0.2016, 0.4002, 0.0004, 0.4058, -0.0002, 0.39990000000000003, -0.0025, -0.003, 0.... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(1) + -1.0 * Z(5) + -0.5 * Z... | 3 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001111", "0011011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.4058) q[0];
rz(0.0005) q[0];
rx(0.4031) q[1];
rz(-0.0004) q[1];
rx(0.4072) q[2];
rz(-0.0008) q[2];
rx(-0.0039) q[3];
rz(0.1976) q[3];
rx(0.0064) q[4];
rz(0.2018) q[4];
rx(0.1141) q[5];
rz(0.2294) q[5];
rx(-0.0018) q[6];
rz(0.2016) q[6];
crz(-0.1925) 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": []} |
48bc2fe3cb79b98fee18d505d1ebe59b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [36, 66], "expectation_value": -0.5151887959439094, "params": [[-0.062400000000000004, 0.004], [0.0785, 0.028200000000000003]], "bitstrings": ["1011011", "0111101"], "total_optimization_steps": 10, "probabilities": [0.009214445805730956, 0.009214445805730956], "optimization_time": 3.776702642440796} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["1011110", "0101111", "1110110", "0111101", "1100111", "0111110", "1011011", "1001111"]} | 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(-0.0624) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0624) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0624) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.0624) q[4];
cx q[0], q[4];
cx q[3], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} |
eabc5a01649d5bc499596bd844e547e9 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "so... | {"states": [16516, 49284], "expectation_value": -18.979252200728993, "params": [[0.092, 0.9253, 0.0025, 0.0046, -0.0005, 0.0019, -0.0004, -0.046900000000000004, 0.9211, -0.0036000000000000003, 0.0025, 0.0031000000000000003, 0.2525, 0.9197000000000001, 0.2684, 0.023100000000000002], [0.4435, 1.0587, 0.0027, 0.0002, 0.00... | 0.5 * (Z(0) @ Z(7)) + 2.0 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(0)) + 1.0 * (Z(1) @ Z(7)) + 0.8888888888888888 * (Z(1) @ Z(0)) + 2.0 * (Z(1) @ Z(8)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(8)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -1.0 * (Z(2) @ Z(8)) + -0.5 * (Z(12) @ Z(7)) + -1.0 * (Z(1... | 10 | 16 | 3 | {"smallest_eigenvalues": [-19.33333333333302], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.333333333332853, "smallest_bitstrings": ["0011111101111011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(0.092) q[0];
ry(0.9253) q[1];
ry(0.0025) q[2];
ry(0.0046) q[3];
ry(-0.0005) q[4];
ry(0.0019) q[5];
ry(-0.0004) q[6];
ry(-0.0469) q[7];
ry(0.9211) q[8];
ry(-0.0036) q[9];
ry(0.0025) q[10];
ry(0.0031) q[11];
ry(0.2525) q[12];
ry(0.9197) q[13];
ry(0.2684) 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": 4} | {"circuits": [], "gradients": []} |
2595393ec6a8cf85d387fa4d443f68fe | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [48, 58], "expectation_value": -4.499934074184779, "params": null, "bitstrings": ["001111", "000101"], "total_optimization_steps": 27, "probabilities": [1.3833773570316686e-05, 0.999948184162596], "optimization_time": 21.103087425231934} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(2) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[5];
ry(-1.5681) q[3];
ry(1.4449) q[2];
ry(1.4449) q[1];
ry(1.4449) q[0];
ry(1.4449) q[4];
cry(0.1187) q[2], q[4];
cry(0.1188) q[4], q[0];
cry(0.1188) q[0], q[1];
cry(0.1186) q[0], q[2];
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(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
73d533dc900ade1f39f82d1daf03a1c8 | 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": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 4... | {"states": [9, 27], "expectation_value": -9.656134434931806, "params": null, "bitstrings": ["1110110", "1100100"], "total_optimization_steps": 45, "probabilities": [0.21130126320595546, 0.6415753811416571], "optimization_time": 45.704246044158936} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(3)) + -2.75 * Z(1) + -0.25 * Z(0) + -1.0 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["1100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[1];
ry(-1.5708) q[4];
cry(-1.5708) q[6], q[0];
ry(1.0167) q[6];
ry(-0.5509) q[0];
ry(1.5705) q[3];
cry(0.4353) q[3], q[6];
cry(-0.1851) q[3], q[0];
cry(1.4449) q[5], q[2];
cry(1.2103) q[2], ... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
7088155896189521367 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 5], [0, 2, 3], [3, 4], [1, 3], [0, 2, 4], [1, 2, 4], [0, 1]]} | {"states": [26, 45], "expectation_value": -0.7086223239193618, "params": [[0.2777], [-0.2797]], "bitstrings": ["100101", "010010"], "total_optimization_steps": 30, "probabilities": [0.03691633385551458, 0.03718418274315764], "optimization_time": 2.026602029800415} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.3333333333333333 * (Z(4) ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.333333333333333, "smallest_bitstrings": ["010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(0.2777) q[1];
cx q[5], q[1];
cx q[1], q[0];
rz(0.2777) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0926) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1851) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2777... | 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x1) q[2]... | null | {"circuits": [], "gradients": []} |
20b257e7ab3ea05503daa46ec3868b05 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [9, 3], "expectation_value": -2.465059316159683, "params": [[-0.040600000000000004], [0.050800000000000005]], "bitstrings": ["110110", "111100"], "total_optimization_steps": 10, "probabilities": [0.01813597951308987, 0.01834027296068866], "optimization_time": 2.0865402221679688} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.25 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.5... | 16 | 6 | 1 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.1827) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1827) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1827) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1827) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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], ... | {"k": 4} | {"circuits": [], "gradients": []} |
03fc078c7a20f2a5bd889c5ded444a79 | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [1709, 1710], "expectation_value": -2.7822176563294674, "params": [[[0.3215, 0.0273], [0.7949, 0.028800000000000003], [-0.005, 0.054], [0.7791, 0.0752], [0.1461, 0.0198], [0.5331, -0.3156], [-0.1211, -0.1953], [-0.0747, 0.7081000000000001], [-0.0025, 0.4398], [0.44630000000000003, 0.7995], [0.7168, 0.1769]],... | 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(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 15 | 11 | 4 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -2.4375, "small... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.3215) q[0];
ry(0.7949) q[1];
ry(-0.005) q[2];
ry(0.7791) q[3];
ry(0.1461) q[4];
ry(0.5331) q[5];
ry(-0.1211) q[6];
ry(-0.0747) q[7];
ry(-0.0025) q[8];
ry(0.4463) q[9];
ry(0.7168) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
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[... | null | {"circuits": [], "gradients": []} |
06224520ded029e940b1fde3f5ab3e3b | 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": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [33, 37], "expectation_value": -1.5379689900894273, "params": [[[0.8025, 0.0013000000000000002], [0.5679000000000001, -0.125], [0.0017000000000000001, 0.5828], [0.7966000000000001, 0.0021000000000000003], [0.3022, -0.2401], [0.8016000000000001, -0.0031000000000000003]], [[0.8005, 0.0047], [0.5666, 0.00900000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + -0.25 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) + -0.25 * Z(3) + -0.5 * Z(4) + -0.25 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.8025) q[0];
rz(0.0013) q[0];
rx(0.5679) q[1];
rz(-0.125) q[1];
rx(0.0017) q[2];
rz(0.5828) q[2];
rx(0.7966) q[3];
rz(0.0021) q[3];
rx(0.3022) q[4];
rz(-0.2401) q[4];
rx(0.8016) q[5];
rz(-0.0031) q[5];
rx(0.8005) q[0];
rz(0.0047) q[0];
rx(0.5666) 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[... | null | {"circuits": [], "gradients": []} |
502ac3914841f8a39fec13c14696a599 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [104, 7], "expectation_value": -0.8240844240766786, "params": [[0.07200000000000001, 0.0758], [-0.0762, -0.0698]], "bitstrings": ["0010111", "1111000"], "total_optimization_steps": 10, "probabilities": [0.012312799552015327, 0.012438082577394198], "optimization_time": 3.6680331230163574} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -1.5 * Z(0) + -1.0 * Z(4) + -1.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1010110", "0010111", "1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.072) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(0.072) q[4];
cx q[0], q[4];
cx q[2], q[5];
rz(0.072) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.072) q[5];
cx q[0], q[5];
cx q[2], q[6];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} |
6240facbcac03ac60847995c8221b912 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "s... | {"states": [0, 255], "expectation_value": -7.614431804769073, "params": [[[-0.001, -0.5235000000000001], [-0.0026000000000000003, 0.005200000000000001], [-0.0026000000000000003, -0.0026000000000000003], [-0.0018000000000000002, -0.0021000000000000003], [-0.002, 0.002], [-0.0026000000000000003, -0.0022], [-0.0019, -0.00... | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -0.75 * (Z(8) @ Z(2)) + 1.0 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(8)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(6) ... | 15 | 9 | 2 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.001) q[0];
ry(-0.0026) q[1];
ry(-0.0026) q[2];
ry(-0.0018) q[3];
ry(-0.002) q[4];
ry(-0.0026) q[5];
ry(-0.0019) q[6];
ry(0.0003) q[7];
ry(1.6392) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
98ff52dd3a46eb29e6baf499c47cc739 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1,... | {"states": [346, 421], "expectation_value": -0.6477837772057773, "params": [[-1.0895000000000001], [0.3911]], "bitstrings": ["1010100101", "1001011010"], "total_optimization_steps": 110, "probabilities": [0.007984021896804848, 0.007984021896804848], "optimization_time": 8.224159002304077} | 0.25 * (Z(0) @ Z(1)) + -0.0006944444444444446 * (Z(2) @ Z(0)) + -0.0006944444444444446 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006944444444444446 * (Z(4) @ Z(0)) + -0.0013888888888888892 * (Z(4) @ Z(2)) + -0.0006944444444444446 * (Z(5) @ Z(1)) + -0.0013888888888888892 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 5 | 10 | 1 | {"smallest_eigenvalues": [-1.261111111111112], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.2611111111111115, "smallest_bitstrings": ["1001011010"]} | 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(-0.5448) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0015) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0015) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-0.5448) q[3];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
-8536726310325090405 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 2, 4], [0, 2, 3, 5], [0, 4], [1, 3, 5]]} | {"states": [31, 15], "expectation_value": -0.8616930477862832, "params": [[[0.8243, 0.0077], [1.4889000000000001, 0.0068000000000000005], [2.6912000000000003, 0.0031000000000000003], [2.7018, 0.0059], [2.6972, 0.0053], [2.6908000000000003, 0.0039000000000000003]]], "bitstrings": ["100000", "110000"], "total_optimizatio... | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.4166666666666665, -1.4166666666666665, -1.4166666666666665], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.0000000000000004, "smallest_bitstrings": ["110000", "000110", "000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.8243) q[0];
rz(0.0077) q[0];
rx(1.4889) q[1];
rz(0.0068) q[1];
rx(2.6912) q[2];
rz(0.0031) q[2];
rx(2.7018) q[3];
rz(0.0059) q[3];
rx(2.6972) q[4];
rz(0.0053) q[4];
rx(2.6908) q[5];
rz(0.0039) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} |
66b128262b8b8ee59605a98d8b63bbdd | 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}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, {"source": 4, "ta... | {"states": [0, 112], "expectation_value": -18.761123058454384, "params": [-0.3402, -0.0741, -0.3614, -0.0979, -0.3291, 0.054900000000000004, -0.3397, -0.0201, -0.319, -0.0296, -0.3592, -0.0188, 0.010700000000000001, 0.5936, 0.0219, 0.6399, -0.0012000000000000001, 0.40390000000000004, -0.0077, 0.4667, 0.0087000000000000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(3)) + -2.5 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z(5) + 1.5 * Z(3) + -2.0 * Z(6) + -1.5 * Z(4) | 6 | 7 | 4 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["0001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.3402) q[0];
rz(-0.0741) q[0];
rx(-0.3291) q[1];
rz(0.0549) q[1];
rx(-0.319) q[2];
rz(-0.0296) q[2];
rx(0.0107) q[3];
rz(0.5936) q[3];
rx(-0.0012) q[4];
rz(0.4039) q[4];
rx(0.0087) q[5];
rz(0.4251) q[5];
rx(0.0195) q[6];
rz(0.4595) q[6];
crx(-0.0066) q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 7} | {"circuits": [], "gradients": []} |
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