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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0f435eed505f807fb8dc44643dfd43ce | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target"... | {"states": [5, 20], "expectation_value": -2.973039785722057, "params": null, "bitstrings": ["11010", "01011"], "total_optimization_steps": 15, "probabilities": [0.07436433115379543, 0.8991266787991344], "optimization_time": 8.50178074836731} | 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(3)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["11010", "01011", "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];
ry(-1.5708) q[3];
ry(-1.4449) q[1];
ry(1.4449) q[2];
cry(-1.0398) q[0], q[4];
ry(0.6944) q[0];
ry(-0.451) q[4];
cry(0.4963) q[2], q[0];
cry(-0.3778) q[2], q[4];
cry(-0.1177) q[2], q[1];
cry(0.1069) q[0], q[2];
cry(-0.072... | 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]... |
193bd74fa5c39737b189c4cd7c74ab9f | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [81, 42], "expectation_value": -0.17374579985872257, "params": [[0.0717], [-0.055200000000000006]], "bitstrings": ["0101110", "1010101"], "total_optimization_steps": 10, "probabilities": [0.00875797313784428, 0.008887794025962889], "optimization_time": 1.4674477577209473} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + -0.5 * Z(2) + -1.0 * Z(6) + -1.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101110", "0101011", "1010101"]} | 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(0.0717) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.0717) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(0.0717) q[5];
cx q[0], q[5];
cx q[1], q[2];
rz(0.0717) q[2];
cx q[1], q[2];
cx q[3], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q... | null | {"circuits": [], "gradients": []} |
a1c773c0b570f64d3c3d3a505084c546 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 3... | {"states": [32, 33], "expectation_value": -8.751887906528104, "params": [[[0.0024000000000000002, 0.3764], [0.5892000000000001, -0.0021000000000000003], [0.0019, 0.46290000000000003], [0.003, 0.4384], [0.0031000000000000003, 0.4514], [0.0024000000000000002, 0.4549], [0.5748, -0.0024000000000000002]], [[-0.0006000000000... | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(1) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(5) @ Z(3)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(6) + 2.5 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0024) q[0];
rz(0.3764) q[0];
rx(0.5892) q[1];
rz(-0.0021) q[1];
rx(0.0019) q[2];
rz(0.4629) q[2];
rx(0.003) q[3];
rz(0.4384) q[3];
rx(0.0031) q[4];
rz(0.4514) q[4];
rx(0.0024) q[5];
rz(0.4549) q[5];
rx(0.5748) q[6];
rz(-0.0024) q[6];
rx(-0.0006) q[0];
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": 6} | {"circuits": [], "gradients": []} |
97aa58ef0b431934bfaa14698e7612e3 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [41, 29], "expectation_value": -0.65978695154708, "params": [[0.059300000000000005, 0.07060000000000001, 0.0597], [-0.0369, -0.0635, -0.0599]], "bitstrings": ["010110", "100010"], "total_optimization_steps": 10, "probabilities": [0.02264038644803355, 0.02483261288959942], "optimization_time": 3.5779139995574... | 0.5 * (Z(0) @ 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(4)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -2.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0593) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.0593) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.0593) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0593) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(0.0593... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
348c13052b9cd507aa792296e385f0a4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2... | {"states": [3, 1], "expectation_value": -1.0738216515226913, "params": [[-0.061000000000000006, -0.0843], [0.060000000000000005, 0.0747]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.014987354179142152, 0.01610501365241964], "optimization_time": 3.6191039085388184} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.75 * Z(2) + 1.5 * Z(6) + -1.0 * Z(3) + -0.5 * Z(4) + -0.25 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.122) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.122) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0915) q[2];
cx q[0], q[2];
cx q[1], q[6];
rz(0.061) q[6];
cx q[1], q[6];
cx q[0], q[6];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
e8c8cfc7e8daa626bbd3fa15225b536c | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4},... | {"states": [47, 63], "expectation_value": -20.32492333437142, "params": null, "bitstrings": ["11111010000", "11111000000"], "total_optimization_steps": 100, "probabilities": [0.19443095296253546, 0.348787675749823], "optimization_time": 301.349814414978} | -2.5 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 1.0 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + -2.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + -2.5 * (Z(2) @ Z(4)) + -2.5 * (Z(5) @ Z(6)) + -2.5 * (Z(10) @ Z(6)) + -2.0 * (Z(10) @ Z(5)) + -3.0 * (Z(8) @ Z(6)) + 0... | 1 | 11 | 1 | {"smallest_eigenvalues": [-34.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.5, "smallest_bitstrings": ["11111000000"]} | 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[1];
cry(1.5708) q[10], q[9];
cry(1.57) q[9], q[6];
cry(0.7408) q[6], q[8];
cry(0.8522) q[6], q[10];
cry(1.5709) q[6], q[5];
cry(0.8118) q[9], q[8];
cry(1.5... | null | {"node": 1} | {"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[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] = m... |
4039461323024514307 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 2, 3, 5, 7], [0, 2, 5, 6, 8, 9], [3, 6], [9, 3, 4], [0, 1, 2, 4, 6, 9], [0, 6, 7], [1, 2, 3, 5, 7, 8, 9], [1, 5, 6, 7, 9], [0, 4, 7], [4, 5, 6, 8, 9], [0, 1, 7, 8, 9], [2, 3, 4, 5, 7], [1, 4, 5, 6], [1, 2, 4, 5]]} | {"states": [430, 431], "expectation_value": -2.976099291474033, "params": [[[0.7374, -0.7704000000000001, 0.0037, 0.0094], [0.5331, -0.7704000000000001, 0.08120000000000001, 0.0019], [1.5817, -0.0018000000000000002, 1.5813000000000001, 0.008700000000000001], [1.5863, -0.0031000000000000003, 1.5816000000000001, 0.0083],... | 0.11666666666666667 * (Z(0) @ Z(1)) + 0.1738095238095238 * (Z(2) @ Z(1)) + 0.1 * (Z(2) @ Z(0)) + 0.05714285714285714 * (Z(3) @ Z(1)) + 0.03333333333333333 * (Z(3) @ Z(0)) + 0.10714285714285715 * (Z(3) @ Z(2)) + 0.2738095238095238 * (Z(5) @ Z(1)) + 0.06666666666666667 * (Z(5) @ Z(0)) + 0.2238095238095238 * (Z(5) @ Z(2))... | 11 | 10 | 1 | {"smallest_eigenvalues": [-3.457142857142856], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.309523809523809, "smallest_bitstrings": ["1001010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.7374) q[0];
rz(-0.7704) q[0];
ry(0.5331) q[1];
rz(-0.7704) q[1];
ry(1.5817) q[2];
rz(-0.0018) q[2];
ry(1.5863) q[3];
rz(-0.0031) q[3];
ry(1.5751) q[4];
rz(0.0015) q[4];
ry(1.5996) q[5];
rz(0.0196) q[5];
ry(1.5806) q[6];
rz(0.0014) q[6];
ry(0.3657) 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": []} |
9915ff93784d747e82bcd9a73a2399e5 | 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": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [28, 14], "expectation_value": -2.996464150018099, "params": null, "bitstrings": ["00011", "10001"], "total_optimization_steps": 19, "probabilities": [0.06634807398600236, 0.9303666439722974], "optimization_time": 9.249803066253662} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["10001", "00011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5708) q[4];
ry(1.4449) q[2];
ry(1.4449) q[1];
cry(-1.0342) q[3], q[0];
ry(0.7003) q[3];
ry(-0.4549) q[0];
cry(0.4963) q[2], q[3];
cry(-0.3789) q[2], q[0];
cry(0.2489) q[1], q[3];
cry(-0.1488) q[1], q[0];
cry(0.118)... | 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[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]... |
-5360498907166048928 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 2, 3, 5, 6, 7, 8, 9, 10], [0, 1, 3, 6, 8, 9], [1, 3, 4, 6, 11], [0, 1, 2, 6, 8, 9, 10, 11], [2, 3, 4, 6, 7, 8, 10], [0, 1, 11, 5], [1, 2, 3, 4, 7, 8, 9, 11], [0, 2, 5, 8, 9, 10, 11], [2, 3, 6, 7, 8, 9, 10, 11], [1, 2, 5, 7, 10, 11], [0, 3, 5, 6, 8, 9,... | {"states": [2809, 3065], "expectation_value": -2.6381506609429812, "params": [1.5819, 1.5536, 0.30910000000000004, 0.3068, 0.9844, 0.9817, 0.7782, 0.8353, 1.7670000000000001, 1.3724, 1.5718, 1.5751000000000002, 1.5697, 1.568, 1.5688, 1.5679, 1.5735000000000001, 1.5721, 0.5273, 0.37070000000000003, 0.3416, 0.3387, 1.594... | 0.1007936507936508 * (Z(1) @ Z(2)) + 0.10515873015873015 * (Z(3) @ Z(2)) + 0.15674603174603174 * (Z(3) @ Z(1)) + 0.1361111111111111 * (Z(5) @ Z(2)) + 0.1722222222222222 * (Z(5) @ Z(1)) + 0.09325396825396826 * (Z(5) @ Z(3)) + 0.12063492063492062 * (Z(6) @ Z(2)) + 0.1484126984126984 * (Z(6) @ Z(1)) + 0.1765873015873016 *... | 13 | 12 | 1 | {"smallest_eigenvalues": [-2.960714285714286], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.960714285714285, "smallest_bitstrings": ["010000000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.5819) q[0];
ry(0.3091) q[1];
ry(0.9844) q[2];
ry(0.7782) q[3];
ry(1.767) q[4];
ry(1.5718) q[5];
ry(1.5697) q[6];
ry(1.5688) q[7];
ry(1.5735) q[8];
ry(0.5273) q[9];
ry(0.3416) q[10];
ry(1.5941) q[11];
crz(0.0033) q[11], q[0];
crz(0.1618) q[10], q[11];
cr... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
4d70328aecc8c1ea3157fc10838636c1 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [22, 7], "expectation_value": -12.41713742248698, "params": null, "bitstrings": ["1101001", "1111000"], "total_optimization_steps": 64, "probabilities": [0.10636678277270013, 0.6088615559824023], "optimization_time": 87.56629395484924} | 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)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 14 | 7 | 3 | {"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];
ry(-1.5577) q[1];
cry(-1.5708) q[5], q[3];
ry(0.7803) q[5];
cry(-1.5708) q[6], q[2];
ry(0.8165) q[6];
cry(-1.5708) q[4], q[0];
ry(0.8986) q[4];
ry(-0.4176) q[0];
ry(-0.3345) q[3];
ry(-0.3052) q[2];
cry(0.... | null | {"k": 4} | {"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(-1.5577) 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", ... |
2ebc839a20c2d3cd0797b936657b1618 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "... | {"states": [1023, 255], "expectation_value": -19.834819179014882, "params": null, "bitstrings": ["110000000000", "111100000000"], "total_optimization_steps": 100, "probabilities": [0.08816579799064155, 0.4811265414798879], "optimization_time": 244.0994791984558} | -2.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + 1.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(10)) + -2.0 * (Z(8) @ Z(10)) + 0.5 * (Z(8) @ Z(7)) + -2.5 * (Z(9) @ Z(10)) + 0.5 * (Z(9) @ Z(7)) + ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["111100000000"]} | 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[3], q[2];
cry(1.5708) q[9], q[10];
ry(1.0383) q[9];
cry(1.5708) q[10], q[7];
cry(0.2441) q[7], q[10];
cry(1.5706) q[9], q[11];
cry(1.5704) q[10], ... | null | {"node": 4} | {"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[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure... |
0df4df25c74ca38eb293288a64f6d090 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 2, "source": 2, "target": 3}, {"weight": 16, "source": 2, "target": 6}, {"... | {"states": [125, 93], "expectation_value": -45.00140435206537, "params": null, "bitstrings": ["10000010", "10100010"], "total_optimization_steps": 100, "probabilities": [0.15666428943704894, 0.3398361120055857], "optimization_time": 149.48929166793823} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 10.0 * Z(1) + -3.0 * Z(0) + 9.0 * Z(2) + 16.0 * Z(3) + 1... | 1 | 8 | 4 | {"smallest_eigenvalues": [-66.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.0, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(7.7632) q[5];
ry(-5.0831) q[3];
ry(0.2364) q[4];
cry(0.3246) q[5], q[4];
ry(0.0001) q[7];
cry(0.0011) q[5], q[7];
ry(0.0002) q[1];
cry(0.001) q[5], q[1];
cry(0.1278) q[3], q[7];
cry(0.1327) q[3... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(7.7632) 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[... |
2398b0b8852b758caa629303970b584b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [33, 49], "expectation_value": -3.562104257885128, "params": [[[0.8062, 0.0021000000000000003], [0.7989, -0.0031000000000000003], [-0.0053, -0.0012000000000000001], [0.1331, -0.3588], [0.5748, 0.8042], [0.801, -0.2278]], [[0.8118000000000001, -0.0047], [0.7994, 0.0033], [-0.013000000000000001, 0.002900000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(1) + -0.5 * Z(5) | 15 | 6 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(0.8062) q[0];
ry(0.7989) q[1];
ry(-0.0053) q[2];
ry(0.1331) q[3];
ry(0.5748) q[4];
ry(0.801) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(0.0021) q[0];
ry(-0.0031) q[1];
ry(-0.0012) q[2];
ry(-0.3588) 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[... | null | {"circuits": [], "gradients": []} |
f576c10acf9721a494b98bd9a9046b76 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5},... | {"states": [1535, 511], "expectation_value": -0.6584388265734769, "params": [[-0.0574], [0.0722]], "bitstrings": ["01000000000", "11000000000"], "total_optimization_steps": 10, "probabilities": [0.0006742397849638703, 0.0006748984346352742], "optimization_time": 1.8455333709716797} | 0.5 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(9)) + -2.0 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + -2.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(7)) + 0.5 * (Z(10) @ Z(8)) + -1.0 * (Z(2) @ Z(3)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.... | 5 | 11 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["11000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(-0.0574) q[0];
cx q[1], q[0];
cx q[5], q[4];
rz(0.1722) q[4];
cx q[5], q[4];
cx q[5], q[6];
rz(-0.0574) q[6];
cx q[5], q[6];
cx q[4], q[6];
rz(0.1722) ... | 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[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[5], q[4];
rz(x1) q[4]... | {"node": 2} | {"circuits": [], "gradients": []} |
fd959b015d7c5b50b2cd05831ed95a60 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 2}, {"weight": 17, "source": 0, "target": 4}, {"weight": 19, "source": 1, "target": 2}, {"weight": 1... | {"states": [211, 122], "expectation_value": -11.103764917654065, "params": [[-0.0393, 0.0195, 0.0235], [0.062, 0.0088, -0.013600000000000001]], "bitstrings": ["00101100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.006939951548853026, 0.007884048840332218], "optimization_time": 7.358407258987427} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-73.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.0, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.2751) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2751) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2751) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2751) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
852ccf0794b3880e0079d109054483d5 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "... | {"states": [3583, 3327], "expectation_value": -27.694467792260504, "params": [[[-0.0025, 2.7049000000000003], [0.002, 0.0024000000000000002], [1.6642000000000001, 0.0024000000000000002], [1.6636000000000002, -0.0029000000000000002], [-0.0025, 0.0024000000000000002], [-0.0031000000000000003, -0.0029000000000000002], [-0... | -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(0)) + -1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + -2.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + -2.5 * (Z(9) @ Z(8)) + -2.5 * (Z(9) @ Z(7)) + -2.5 * (Z(10) @ Z(8)) + 1.... | 15 | 12 | 1 | {"smallest_eigenvalues": [-29.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["001100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0025) q[0];
ry(0.002) q[1];
ry(1.6642) q[2];
ry(1.6636) q[3];
ry(-0.0025) q[4];
ry(-0.0031) q[5];
ry(-0.0033) q[6];
ry(-0.002) q[7];
ry(-0.0028) q[8];
ry(-0.0025) q[9];
ry(-0.003) q[10];
ry(-0.0027) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 12} | {"circuits": [], "gradients": []} |
6e936c9031f4ef335042a74fa41c3e34 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 3, "target": 2}, {"capacity": 2, "source": 3, "target": 6... | {"states": [47, 63], "expectation_value": -2.8540203722133364, "params": null, "bitstrings": ["1010000", "1000000"], "total_optimization_steps": 37, "probabilities": [0.2088511956890643, 0.2100965666861345], "optimization_time": 31.577638864517212} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(2) @ Z(3)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + 0.0 * Z(4) + -0.25 * Z(0) + 0.25 * Z(5) + 0.5 * Z(3) + -0.5 * Z(2) + 0.25 * Z(6) + -0.25 * Z(1) | 1 | 7 | 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, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.0, "smallest_bitstrings": ["1000000", "1100000", "1010100", "1100010", "1100100", "1010000", "1100110", "1000100", "1110000", "1110010", "... | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.5486) q[6], q[0];
ry(1.035) q[6];
ry(1.5566) q[3];
cry(-0.4546) q[3], q[0];
cry(0.3664) q[3], q[6];
ry(-0.2379) q[0];
cry(1.0298) q[1], q[5];
cry(0.1269) q[5], q[6];
cry(0.6734) q[3], q[4];
ry(0.39... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.5486) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
9b4be5d748a292e481722f1ef8f75020 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 3}]} | {"states": [14, 10], "expectation_value": -5.341599362562094, "params": [0.0048000000000000004, 0.43510000000000004, 0.0013000000000000002, 0.46900000000000003, 0.0032, 0.4338, 0.0012000000000000001, 0.4451, 0.5997, 0.0917, 0.3801, 0.2112, 0.5873, 0.1945, 0.3688, 0.1831, -0.0012000000000000001, 0.4698, 0.002, 0.4636, 0... | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + 0.4 * (Z(1) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 1.0 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 1.0 ... | 18 | 8 | 4 | {"smallest_eigenvalues": [-6.6000000000000005, -6.6000000000000005], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.999999999999999, "smallest_bitstrings": ["11110010", "11110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0048) q[0];
rz(0.4351) q[0];
rx(0.0013) q[1];
rz(0.469) q[1];
rx(0.0032) q[2];
rz(0.4338) q[2];
rx(0.0012) q[3];
rz(0.4451) q[3];
rx(0.5997) q[4];
rz(0.0917) q[4];
rx(0.3801) q[5];
rz(0.2112) q[5];
rx(0.5873) q[6];
rz(0.1945) q[6];
rx(0.3688) q[7];
rz(0.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
8769543212779647933 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 3, 7], [8, 2, 3], [2, 4, 7], [0, 1, 4], [8, 9, 7], [0, 2], [1, 7], [3, 4], [3, 5], [8, 0, 7], [8, 1, 5], [1, 2, 5], [0, 5, 6], [9, 1], [1, 5, 6], [8, 9, 4, 5], [0, 8, 5]]} | {"states": [190, 191], "expectation_value": -4.400069154832614, "params": [0.6241, -0.2525, 0.47900000000000004, 0.0063, 0.9247000000000001, -0.2953, 0.6759000000000001, 0.006200000000000001, 1.3019, 0.11560000000000001, 1.2938, 0.003, 0.3418, -0.0251, 0.0907, 0.0019, 1.3029000000000002, 0.1338, 1.2956, 0.0056, 1.30110... | 0.3333333333333333 * (Z(8) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(7)) + 0.166666666... | 6 | 10 | 1 | {"smallest_eigenvalues": [-5.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["1101000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.6241) q[0];
rz(-0.2525) q[0];
rx(0.9247) q[1];
rz(-0.2953) q[1];
rx(1.3019) q[2];
rz(0.1156) q[2];
rx(0.3418) q[3];
rz(-0.0251) q[3];
rx(1.3029) q[4];
rz(0.1338) q[4];
rx(1.3011) q[5];
rz(0.1226) q[5];
rx(1.2974) q[6];
rz(0.1366) q[6];
rx(1.2983) 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": []} |
23ed60bc96758366e843c21e3bc9a3e0 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [14, 7], "expectation_value": -11.990206131956436, "params": [[0.0392, 0.0129, -0.013800000000000002, -0.0719], [-0.046, -0.053000000000000005, -0.044000000000000004, 0.019200000000000002]], "bitstrings": ["11110001", "11111000"], "total_optimization_steps": 10, "probabilities": [0.00813836284159508, 0.00893... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.... | 1 | 8 | 4 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"]} | 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(0.2156) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2156) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2156) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2156) q[3];
cx q[1], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
-5401784996309083631 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4], [0, 3, 6], [1, 2, 6], [4, 6], [1, 5], [0, 2, 3], [2, 4], [3, 5]]} | {"states": [121, 57], "expectation_value": -2.403387194077233, "params": [[[1.4897, 0.005200000000000001], [2.6997, 0.0055000000000000005], [2.6965000000000003, 0.0071], [2.7009000000000003, 0.0036000000000000003], [0.4817, 0.0092], [0.46840000000000004, 0.0023], [2.6975000000000002, 0.0081]]], "bitstrings": ["0000110"... | 0.5 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2)... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.4897) q[0];
rz(0.0052) q[0];
rx(2.6997) q[1];
rz(0.0055) q[1];
rx(2.6965) q[2];
rz(0.0071) q[2];
rx(2.7009) q[3];
rz(0.0036) q[3];
rx(0.4817) q[4];
rz(0.0092) q[4];
rx(0.4684) q[5];
rz(0.0023) q[5];
rx(2.6975) q[6];
rz(0.0081) 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": []} |
f83a24061b1538365ea5863841ae1bf9 | 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": 6, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 12, "source": 0, "target": 3}, {"weight": 17, "source": 1, "tar... | {"states": [498, 242], "expectation_value": -62.35721258693146, "params": [1.5152, 0.0041, 3.0967000000000002, 0.0025, 3.0887000000000002, 0.0097, 3.0947, 0.0066, 3.0926, 0.0023, 0.0029000000000000002, 0.006200000000000001, 0.7261000000000001, 0.0047, 3.0961000000000003, 0.0029000000000000002, 1.4528, 0.007500000000000... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(7)) + 14.5 * Z(2) ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["100001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.5152) q[0];
rz(0.0041) q[0];
rx(3.0967) q[1];
rz(0.0025) q[1];
rx(3.0887) q[2];
rz(0.0097) q[2];
rx(3.0947) q[3];
rz(0.0066) q[3];
rx(3.0926) q[4];
rz(0.0023) q[4];
rx(0.0029) q[5];
rz(0.0062) q[5];
rx(0.7261) q[6];
rz(0.0047) q[6];
rx(3.0961) 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": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
b2ad92d1453e889b732cbfcfd082cd41 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [11, 27], "expectation_value": -2.5079710815162595, "params": [-0.0071, 0.4146, 0.17320000000000002, 0.4414, 0.1781, -0.2997, 0.7991, -0.1102, 0.8101, -0.0039000000000000003, 0.6957, -0.049600000000000005, 0.8058000000000001, 0.0025, 0.8025, -0.0036000000000000003, -0.013600000000000001, 0.0066, 0.1689, 0.00... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + 0.0 * Z(7) + 0.0 * Z(4) + -0.5 * Z(6) + -0.5 * Z(5) | 3 | 8 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["11000110", "01110001", "10001110", "11100100", "11110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0071) q[0];
rz(0.4146) q[0];
rx(0.1732) q[1];
rz(0.4414) q[1];
rx(0.1781) q[2];
rz(-0.2997) q[2];
rx(0.7991) q[3];
rz(-0.1102) q[3];
rx(0.8101) q[4];
rz(-0.0039) q[4];
rx(0.6957) q[5];
rz(-0.0496) q[5];
rx(0.8058) q[6];
rz(0.0025) q[6];
rx(0.8025) 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": []} |
5034de4a0b71e78f13f19fc0d8322dd3 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [252, 220], "expectation_value": -62.35513573402369, "params": [0.9710000000000001, 0.0041, 2.7974, 0.0083, 2.8057000000000003, 0.0005, 1.4743000000000002, 0.0035, 2.8003, 0.0099, 2.801, 0.009000000000000001, 2.8006, 0.0099, 0.0019, 0.0011, -0.0026000000000000003, 0.0023, 0.006900000000000001, 0.000600000000... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(2) @ Z(5)) + 6.0 * (Z(2) @ Z(4)) + 6.0 * (Z(3) @ Z(5)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(6) @ Z(7)) + 3.5 * Z(0) + 7.5 * Z(1) + 19.5 * Z(5) + 14.0 * Z(4) + 20.5 * Z(2) + 9.5 * Z(3) + -3.0 * Z(7) + 1.5 *... | 18 | 9 | 1 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.971) q[0];
rz(0.0041) q[0];
rx(2.7974) q[1];
rz(0.0083) q[1];
rx(2.8057) q[2];
rz(0.0005) q[2];
rx(1.4743) q[3];
rz(0.0035) q[3];
rx(2.8003) q[4];
rz(0.0099) q[4];
rx(2.801) q[5];
rz(0.009) q[5];
rx(2.8006) q[6];
rz(0.0099) q[6];
rx(0.0019) q[7];
rz(0.001... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
7e799239f8573f120a2c5e15cda2e88f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}]} | {"states": [7, 14], "expectation_value": -0.4901224195043495, "params": [[-0.058, -0.0661, -0.0673, -0.085], [0.061700000000000005, 0.07, 0.06520000000000001, 0.0736]], "bitstrings": ["11000", "10001"], "total_optimization_steps": 10, "probabilities": [0.051945094530619414, 0.05405848383787481], "optimization_time": 3.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -0.5 * Z(1) + 0.0 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["10001", "11000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(-0.058) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.058) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(-0.058) q[1];
cx q[0], q[1];
cx q[1], q[4];
rz(-0.058) q[4];
cx q[1], q[4];
rz(0) q[2];
rz(0.116) q[0];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
b993a5a7e57c18bd4205eb03339dcbdb | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [355, 487], "expectation_value": -9.997698225338024, "params": null, "bitstrings": ["111010011100", "111000011000"], "total_optimization_steps": 100, "probabilities": [0.23962467434214155, 0.7582847298238203], "optimization_time": 303.88262391090393} | 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(4)) + 0.5 * (Z(11) @ Z(9)) + 0... | 1 | 12 | 3 | {"smallest_eigenvalues": [-9.999999999999998, -9.999999999999998], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.666666666666666, "smallest_bitstrings": ["111010011100", "111000011000"]} | 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];
ry(1.5708) q[11];
ry(1.5708) q[10];
ry(1.5708) q[6];
cry(-1.5592) q[10], q[1];
cry(1.4449) q[4], q[9];
cry(1.5482) q[6], q[3];
cry(-1.4449) q[10], q[0];
cry(-1.... | null | {"source": 0, "sink": 5} | {"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];\nry(1.5708) q[11];\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];... |
9aafe0580999b1b0b4b8e8eda0d2bc18 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [10, 3], "expectation_value": -6.706001548138886, "params": [[0.061500000000000006, 0.0437, -0.0436], [-0.062400000000000004, -0.06330000000000001, -0.0194]], "bitstrings": ["110101", "111100"], "total_optimization_steps": 10, "probabilities": [0.03131528239335989, 0.03415768652545595], "optimization_time": ... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 11 | 6 | 3 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.2768) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2768) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2768) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2768) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2768... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
93141c357d164fcf2a36ba666f8f01e3 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [0, 8], "expectation_value": -8.702675386505103, "params": [[[0.40640000000000004, -0.0029000000000000002], [0.0014, -0.3103], [0.0023, 0.3055], [0.1015, 0.1888]], [[0.4062, -0.0023], [0.0056, -0.30760000000000004], [0.0034000000000000002, 0.307], [0.1024, 0.1887]], [[0.39990000000000003, -0.0018000000000000... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + -4.75 * Z(1) + -4.5 * Z(0) + -4.75 * Z(2) + -4.5 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1110", "0111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(0.4064) q[0];
rz(-0.0029) q[0];
rx(0.0014) q[1];
rz(-0.3103) q[1];
rx(0.0023) q[2];
rz(0.3055) q[2];
rx(0.1015) q[3];
rz(0.1888) q[3];
rx(0.4062) q[0];
rz(-0.0023) q[0];
rx(0.0056) q[1];
rz(-0.3076) q[1];
rx(0.0034) q[2];
rz(0.307) q[2];
rx(0.1024) q[3];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
9aafe0580999b1b0b4b8e8eda0d2bc18 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [10, 3], "expectation_value": -7.628967715666368, "params": [[0.0584, 0.0396, -0.022600000000000002, 0.0162], [-0.061000000000000006, -0.0618, -0.0217, -0.0251]], "bitstrings": ["110101", "111100"], "total_optimization_steps": 10, "probabilities": [0.03423273469840524, 0.03768775849909098], "optimization_tim... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 11 | 6 | 4 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.2628) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2628) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2628) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2628) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2628... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
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": -1.124026995829616, "params": [[0.0364, 0.06720000000000001, 0.0634], [-0.015600000000000001, -0.0505, -0.048600000000000004]], "bitstrings": ["100001010", "100010001"], "total_optimization_steps": 10, "probabilities": [0.0032724012750954606, 0.0032724220072093057], "optimiza... | 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 | 3 | {"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(0.0364) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0364) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.0364) q[1];
cx q[0], q[1];
cx q[0], q[3];
rz(0.0364) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 2, "target": 1}]}} | {"circuits": [], "gradients": []} |
6305436220636956313 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 5, 6], [1, 2, 3, 4, 5, 7], [0, 1, 3, 4, 5, 7], [0, 2, 3, 4], [0, 1, 2, 3, 5, 6], [0, 1, 2, 5, 6, 7], [2, 4, 6]]} | {"states": [173, 236], "expectation_value": -0.6397649927043242, "params": [[-0.2736], [0.2793]], "bitstrings": ["01010010", "00010011"], "total_optimization_steps": 30, "probabilities": [0.0068462081289553025, 0.00699074269242729], "optimization_time": 2.4403486251831055} | 0.2333333333333333 * (Z(4) @ Z(5)) + 0.2333333333333333 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.13333333333333333 * (Z(1) @ Z(5)) + 0.06666666666666667 * (Z(1) @ Z(4)) + 0.06666666666666667 * (Z(1) @ Z(6)) + 0.1 * (Z(2) @ Z(5)) + 0.2833333333333333 * (Z(2) @ Z(4)) + 0.23333333333333334 * (Z(2) @ Z(6)) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.7166666666666663], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6833333333333336, "smallest_bitstrings": ["00010011"]} | 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[5], q[4];
rz(-0.1277) q[4];
cx q[5], q[4];
cx q[5], q[6];
rz(-0.1277) q[6];
cx q[5], q[6];
cx q[4], q[6];
rz(-0.1824) q[6];
cx q[4], q[6];
cx q[5], q[1];
rz(-0.073) q[1];
cx q[5], q[1];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} |
8246475800049591697 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 3, 5, 6, 7], [1, 2, 4, 5, 6, 7], [2, 3, 4, 6, 7], [0, 2, 4, 5, 6, 7]]} | {"states": [203, 227], "expectation_value": -0.020731046779433167, "params": [[-0.07930000000000001], [0.0748]], "bitstrings": ["00110100", "00011100"], "total_optimization_steps": 10, "probabilities": [0.003999572492370189, 0.00399957249237019], "optimization_time": 1.0039002895355225} | 0.03333333333333333 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(3) @ Z(1)) + 0.03333333333333333 * (Z(3) @ Z(0)) + 0.06666666666666667 * (Z(5) @ Z(1)) + 0.06666666666666667 * (Z(5) @ Z(0)) + 0.03333333333333333 * (Z(5) @ Z(3)) + 0.06666666666666667 * (Z(6) @ Z(1)) + 0.06666666666666667 * (Z(6) @ Z(0)) + 0.08333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.8000000000000003, -0.8000000000000003, -0.8000000000000003, -0.8000000000000003, -0.8000000000000003, -0.8000000000000003], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -0.8, "smallest_bitstrings": ["00110100", "00011100", "00000011", "11100000", "00000101", "00000110"]} | 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(-0.0053) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0053) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0053) q[3];
cx q[0], q[3];
cx q[1], q[5];
rz(-0.0106) q[5];
cx q[1], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | null | {"circuits": [], "gradients": []} |
6ddf684edf2e62eb9b719095ef1378fa | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 4, "target": 5}, {"source": 5, "target": 6}]} | {"states": [60, 63], "expectation_value": -0.4697186532001511, "params": [[-0.0635], [0.076]], "bitstrings": ["000011", "000000"], "total_optimization_steps": 10, "probabilities": [0.01968593968834458, 0.019685939688344582], "optimization_time": 1.136186122894287} | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(1) + -1.0 * Z(5) + 1.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["000011", "000000"]} | 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(0.1905) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0635) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.254) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(-0.0635) q[1];
cx q[0], q[1];
cx q[3], q[1];
rz(0.190... | 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x1) q[3];
cx q[2], q[3];
cx q[0... | {"node": 6} | {"circuits": [], "gradients": []} |
0541faf635a6399f550a5b5935bfa17a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [765, 733], "expectation_value": -0.6598436788612856, "params": [1.0736, 0.3552, 0.49300000000000005, 0.3768, 1.0821, 0.3256, 1.1038000000000001, -0.2157, 0.7979, -0.23090000000000002, 1.0821, -0.1826, 0.8952, 0.1904, 1.1045, 0.3955, 0.48550000000000004, 0.369, 1.0781, 0.3234, 1.0613000000000001, 0.0046, 0.4... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 18 | 10 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100010100", "0011000010", "1000001001", "0010011000", "0100100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.0736) q[0];
rz(0.3552) q[0];
rx(0.493) q[1];
rz(0.3768) q[1];
rx(1.0821) q[2];
rz(0.3256) q[2];
rx(1.1038) q[3];
rz(-0.2157) q[3];
rx(0.7979) q[4];
rz(-0.2309) q[4];
rx(1.0821) q[5];
rz(-0.1826) q[5];
rx(0.8952) q[6];
rz(0.1904) q[6];
rx(1.1045) 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": []} |
0fcc1a24f94fd2a8b4a107178db6be3d | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [38, 7], "expectation_value": -4.4890656587991264, "params": null, "bitstrings": ["1011001", "1111000"], "total_optimization_steps": 33, "probabilities": [0.06023624493080601, 0.8645378003106239], "optimization_time": 32.34974408149719} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(5) + -1.0 * Z(1) + -1.5 * Z(3) + -1.0 * Z(6) + -0.5 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1011001", "0111010", "1111000", "0011011"]} | 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[3];
ry(1.4449) q[4];
cry(-1.0342) q[6], q[1];
cry(-1.0342) q[5], q[0];
ry(0.7003) q[5];
ry(0.7003) q[6];
ry(-0.4549) q[1];
cry(0.4963) q[4], q[6];
ry(-0.4549) q[0];
cry(0.4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... |
-7592907852367266095 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4], [1, 7], [0, 3], [4, 5], [4, 7], [1, 3], [0, 7], [0, 5], [1, 5], [2, 4], [2, 6], [2, 3], [4, 6], [3, 4]]} | {"states": [202, 23], "expectation_value": -3.7758143568464178, "params": null, "bitstrings": ["00110101", "11101000"], "total_optimization_steps": 62, "probabilities": [0.16643346926063854, 0.5877068410787979], "optimization_time": 103.61520648002625} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(4) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["00010111", "11101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[7], q[4];
cry(-1.0342) q[7], q[1];
cry(1.3762) q[7], q[5];
cry(1.3762) q[7], q[3];
cry(-1.4638) q[5], q[0];
ry(0.6869) q[7];
cry(-0.6518) q[5], q[1];
cry(0.4491) q[5], q[3];
cry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[7], 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] = me... |
5144181ac27497fdfa9bdb5b8b799630 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}]} | {"states": [413, 427], "expectation_value": -0.26394300068748633, "params": [[0.07250000000000001], [-0.08080000000000001]], "bitstrings": ["001100010", "001010100"], "total_optimization_steps": 10, "probabilities": [0.002266587328284175, 0.002266587328284176], "optimization_time": 5.715635299682617} | 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 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -3.5, "smallest_bitstrings": ["001100010", "010010001", "001001100", "100100010", "100010001", "001001010", "001010100", "100001010", "100100001", "010001100",... | 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(0.0725) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0725) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0725) q[2];
cx q[0], q[2];
cx q[0], q[6];
rz(0.0363) q[6];
cx q[0], q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
4e2f70adf965c859c016ba7845e205dc | 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": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2}, {"capac... | {"states": [511, 447], "expectation_value": -10.844462017974404, "params": [[[-0.006900000000000001, 0.7491], [-0.0007, 0.004], [0.003, 0.0019], [1.0350000000000001, -0.0024000000000000002], [0.0017000000000000001, 0.0023], [0.0021000000000000003, 0.0023], [0.0026000000000000003, 0.0028], [0.0034000000000000002, -0.003... | -0.5 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(7) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + 1.5 * (Z(9) @ Z(0)) + -0.75 * (Z(9)... | 15 | 10 | 4 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["1001000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0069) q[0];
ry(-0.0007) q[1];
ry(0.003) q[2];
ry(1.035) q[3];
ry(0.0017) q[4];
ry(0.0021) q[5];
ry(0.0026) q[6];
ry(0.0034) q[7];
ry(-1.3562) q[8];
ry(-0.0073) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": 9} | {"circuits": [], "gradients": []} |
e3b5b65f220c2e22b6113c0ce5b41d18 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [10, 25], "expectation_value": -1.1353341356052347, "params": [[0.0679, 0.0601, 0.0632, 0.0024000000000000002], [-0.0698, -0.0536, -0.0635, -0.035500000000000004]], "bitstrings": ["1110101", "1100110"], "total_optimization_steps": 10, "probabilities": [0.012855519843350559, 0.016323645199358368], "optimizati... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(4) + -1.0 * Z(1) + -1.0 * Z(5) + -0.5 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.0679) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.0679) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(0.0679) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.0679) q[4];
cx q[0], q[4];
cx q[3], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
-6332755779047497654 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4], [0, 2, 3, 5], [1, 6], [2, 3, 5, 6], [1, 2, 5], [2, 5, 7], [0, 3, 5, 6, 7]]} | {"states": [228, 166], "expectation_value": -2.28615736548989, "params": null, "bitstrings": ["00011011", "01011001"], "total_optimization_steps": 42, "probabilities": [0.055328558751787646, 0.8446904970002377], "optimization_time": 67.54425954818726} | 0.5 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.13333333333333333 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.21666666666666667 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.05 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.3666666666666676], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.283333333333333, "smallest_bitstrings": ["01011001"]} | 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(1.5344) q[5];
cry(-1.0341) q[6], q[1];
ry(0.8633) q[6];
cry(-0.5855) q[5], q[1];
cry(0.4759) q[5], q[6];
cry(-1.0342) q[0], q[4];
ry(0.7926) q[0];
ry(-0.5314) q[4];
cry(0.4925) q[5], q[0];
cry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5344) 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[... |
58927404864b316a7a7c3805d96a54c5 | 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": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 8}, {"capacity": 6, "source": 1, "target": 3}, {"capacity": 5, "s... | {"states": [9, 25], "expectation_value": -15.746130817671661, "params": [0.0044, -0.24600000000000002, 0.0045000000000000005, -0.258, 0.0037, -0.23870000000000002, 0.005, -0.20120000000000002, 0.004200000000000001, -0.29250000000000004, 0.0035, -0.2929, 0.005200000000000001, -0.25830000000000003, 0.0047, -0.2606, -0.20... | -1.0 * (Z(0) @ Z(3)) + 1.25 * (Z(8) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + -2.75 * (Z(2) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(8)) + -1.25 * (Z(4) @ Z(7)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-16.75, -16.75, -16.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -15.75, "smallest_bitstrings": ["111100110", "111100010", "101100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0044) q[0];
rz(-0.246) q[0];
rx(0.0037) q[1];
rz(-0.2387) q[1];
rx(0.0042) q[2];
rz(-0.2925) q[2];
rx(0.0052) q[3];
rz(-0.2583) q[3];
rx(-0.2079) q[4];
rz(0.0257) q[4];
rx(0.2221) q[5];
rz(0.0828) q[5];
rx(0.0027) q[6];
rz(-0.2845) q[6];
rx(0.0018) 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": []} |
43f346f2449aaad74bd3d1617b2cab32 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [86, 89], "expectation_value": -0.37772441777175636, "params": [[0.0716, 0.0741, 0.0766], [-0.053500000000000006, -0.0641, -0.0722]], "bitstrings": ["0101001", "0100110"], "total_optimization_steps": 10, "probabilities": [0.014086665100216693, 0.014095456938106172], "optimization_time": 5.8351991176605225} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2) @ Z(5)) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100110", "0101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0358) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0358) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0358) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0358) q[0];
cx q[1], q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
d718199120caa09970ec0112edaecdf9 | 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": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [33, 3], "expectation_value": -17.442608475162828, "params": [[-0.039, -0.0056, -0.0008], [0.06720000000000001, 0.062200000000000005, 0.0637]], "bitstrings": ["1011110", "1111100"], "total_optimization_steps": 10, "probabilities": [0.018703297480754544, 0.02025559806588705], "optimization_time": 5.8484256267... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 10 | 7 | 3 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.2145) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2145) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2145) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2145) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 5} | {"circuits": [], "gradients": []} |
7bc4dde9a09d0b94c5097b219891d81a | 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": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 2}]} | {"states": [4, 9], "expectation_value": -0.11060195288851203, "params": [[-0.053500000000000006, -0.06860000000000001], [0.055, 0.0712]], "bitstrings": ["1011", "0110"], "total_optimization_steps": 10, "probabilities": [0.0682401605176477, 0.07394060544258721], "optimization_time": 2.1624724864959717} | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.25 * Z(3) + -0.75 * Z(2) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["0110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(-0.0535) q[0];
cx q[1], q[0];
cx q[3], q[0];
rz(-0.0268) q[0];
cx q[3], q[0];
cx q[2], q[0];
rz(-0.0268) q[0];
cx q[2], q[0];
cx q[3], q[2];
rz(-0.0268) q[2];
cx q[3], q[2];
cx q[3], q[2];
cx q[2], q[0];
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] 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[4] c;
qubit[4] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
cae836d786de7e539b96f215cbb6de9f | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"sour... | {"states": [66, 82], "expectation_value": -6.321956912498129, "params": [0.0463, 0.0471, -0.0086, -0.012700000000000001, 0.30010000000000003, 0.3027, -0.013000000000000001, -0.0207, 0.2987, 0.29510000000000003, 0.07690000000000001, 0.0813, -0.0189, -0.0165, 0.3047, 0.3098, 0.0344, 0.0346, 0.0458, 0.0495, -0.0092, -0.01... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(8) ... | 14 | 9 | 3 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.5, "smallest_bitstrings": ["010111101", "110101011", "111101010", "111010101", "110110101", "110101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0463) q[0];
ry(-0.0086) q[1];
ry(0.3001) q[2];
ry(-0.013) q[3];
ry(0.2987) q[4];
ry(0.0769) q[5];
ry(-0.0189) q[6];
ry(0.3047) q[7];
ry(0.0344) q[8];
crx(0.0395) q[8], q[0];
crx(0.1691) q[7], q[8];
crx(-0.1635) q[6], q[7];
crx(-0.0731) q[5], q[6];
crx(-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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | null | {"circuits": [], "gradients": []} |
5948849393156915539 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 11], [2, 3], [4, 6], [10, 6], [4, 5], [0, 7], [2, 5], [10, 3], [3, 4], [11, 3], [8, 5], [9, 7]]} | {"states": [368, 1392], "expectation_value": -1.3837930624442911, "params": [0.4802, -0.1963, 0.47840000000000005, 0.0099, 0.9004000000000001, -0.0115, 0.9027000000000001, 0.001, 0.5203, -0.1774, 0.523, 0.0074, 0.9069, 0.028900000000000002, 0.9065000000000001, -0.1416, 0.5764, 0.11900000000000001, 0.5698, 0.004, 0.9057... | 0.5 * (Z(1) @ Z(11)) + 0.5 * (Z(3) @ Z(11)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(10) @ Z(3)) + 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(9) @ Z(7)) + 0.0 * Z(11) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(2) +... | 8 | 12 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["001010011011", "010101110000", "101010001111", "110101100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.4802) q[0];
rz(-0.1963) q[0];
rx(0.9004) q[1];
rz(-0.0115) q[1];
rx(0.5203) q[2];
rz(-0.1774) q[2];
rx(0.9069) q[3];
rz(0.0289) q[3];
rx(0.5764) q[4];
rz(0.119) q[4];
rx(0.9057) q[5];
rz(-0.0142) q[5];
rx(0.8969) q[6];
rz(0.0017) q[6];
rx(0.8944) 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": []} |
d0bfe0d447f987bab26261caea144ffd | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [293, 357], "expectation_value": -104.6742816531015, "params": [[0.021500000000000002, -0.0776, 0.8087000000000001, 0.1003, 0.3476, 0.5798, -0.0, -0.0151, 0.7803, 0.0047, 0.7823], [-0.0114, -0.030600000000000002, 0.7978000000000001, -0.1373, 0.8993, 0.8901, -0.0095, -0.0908, 0.793, -0.0103, 0.7839], [-0.0092... | 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(0) @ Z(5)) + 8.0 * (Z(3) @ Z(5)) + 8.0 * (Z(4) @ Z(2)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(7) @ Z(2)) + 8.0 * (Z(7) @ Z(4)) + 8.0 * (Z(6) @ Z(8)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(10) @ Z(1)) + 0.5 * Z(1) + 16.0 * Z(2) + 14.0 * Z(5) + -5.0 * Z(0) + 3.0 * Z(3) + 22.0 * Z(... | 10 | 11 | 3 | {"smallest_eigenvalues": [-127.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -109.0, "smallest_bitstrings": ["11010011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0215) q[0];
ry(-0.0776) q[1];
ry(0.8087) q[2];
ry(0.1003) q[3];
ry(0.3476) q[4];
ry(0.5798) q[5];
ry(0) q[6];
ry(-0.0151) q[7];
ry(0.7803) q[8];
ry(0.0047) q[9];
ry(0.7823) q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
50803b752054f0512687e537ee7368f9 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}]} | {"states": [52, 21], "expectation_value": -2.4964491610978103, "params": null, "bitstrings": ["001011", "101010"], "total_optimization_steps": 22, "probabilities": [0.06701277438190029, 0.9297056987717313], "optimization_time": 10.52004098892212} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(5) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(2) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["001011", "101010", "111000", "110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.4449) q[4];
ry(-1.4449) q[2];
ry(1.4417) q[3];
ry(1.4384) q[1];
cry(-1.0398) q[5], q[0];
ry(0.7022) q[5];
cry(-0.1259) q[3], q[2];
ry(-0.4578) q[0];
cry(0.4969) q[3], q[5];
cry(-0.3761) q[3], q[0];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.4449) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
e50f1de34172387f4afee29bd6bf3fd2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 8}, {"capac... | {"states": [9, 1], "expectation_value": -1.4591111081833736, "params": [[-0.0627], [0.061900000000000004]], "bitstrings": ["1111110110", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0015585202898689909, 0.0016098632974642128], "optimization_time": 2.4373137950897217} | -1.5 * (Z(0) @ Z(2)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -2.25 * (Z(8) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(7)) + -1.5 * (Z(4) @ Z(7)) + -1.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(8)) + -1.5 * (Z(6) @ Z(3)) + 2.75 * (Z(9) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-21.5, -21.5, -21.5, -21.5, -21.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -20.5, "smallest_bitstrings": ["1111110110", "1111111110", "1110010110", "1111010110", "1111011110"]} | 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[2], q[0];
rz(0.1881) q[0];
cx q[2], q[0];
cx q[2], q[7];
rz(0.1568) q[7];
cx q[2], q[7];
cx q[0], q[7];
rz(0.1254) q[7];
cx q[0], q[7];
cx q[2], q[1];
rz(0.1254) q[1];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
888830106765927976 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3, 5], [1, 4, 6], [0, 5], [1, 4, 5], [3, 6], [0, 3], [0, 1, 2], [0, 4], [2, 4], [1, 3, 4], [1, 3, 5]]} | {"states": [39, 46], "expectation_value": -2.9120763598932795, "params": null, "bitstrings": ["1011000", "1010001"], "total_optimization_steps": 43, "probabilities": [0.05315195710524625, 0.7946387893512603], "optimization_time": 62.783419609069824} | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(5))... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333334, "smallest_bitstrings": ["1010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5592) q[1];
cry(-1.0342) q[5], q[0];
ry(0.971) q[5];
cry(-0.8029) q[4], q[0];
cry(-1.0342) q[3], q[6];
ry(1.0623) q[3];
cry(-0.7199) q[1], q[6];
cry(0.3851) q[1], q[3];
cry(0.8773) q[5], q[4];
cry(-0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5592) 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", "... |
b305367bc2e2ddaa066fe8b84210618a | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 5}, {"weight": 15, "source": 0, "target": 2}, {"weight": 10, "source": 2, "target": 3}, {... | {"states": [126, 110], "expectation_value": -64.36616340784029, "params": [0.0048000000000000004, 0.5791000000000001, 1.0476, 0.0017000000000000001, 1.0595, -0.014, 0.5409, -0.3166, 1.0536, 0.015000000000000001, 1.0524, -0.0099, 1.129, 0.2359, 0.25780000000000003, 0.5349, 0.0045000000000000005, 0.5632, 1.05340000000000... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 19.5 * Z(1) ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0048) q[0];
rz(0.5791) q[0];
rx(1.0476) q[1];
rz(0.0017) q[1];
rx(1.0595) q[2];
rz(-0.014) q[2];
rx(0.5409) q[3];
rz(-0.3166) q[3];
rx(1.0536) q[4];
rz(0.015) q[4];
rx(1.0524) q[5];
rz(-0.0099) q[5];
rx(1.129) q[6];
rz(0.2359) q[6];
rx(0.2578) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
-1335673976538917427 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 5, 6], [1, 3, 7], [1, 4], [2, 7]]} | {"states": [31, 118], "expectation_value": -0.5435318548317517, "params": [[-0.372], [0.37]], "bitstrings": ["11100000", "10001001"], "total_optimization_steps": 40, "probabilities": [0.01038433932463884, 0.01038433932463884], "optimization_time": 1.161555528640747} | 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.16666666666666666 * Z(5) + 0.16666666666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.666666666666667, -1.666666666666667, -1.666666666666667], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.6666666666666665, "smallest_bitstrings": ["00001101", "00001011", "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[5], q[0];
rz(-0.124) q[0];
cx q[5], q[0];
cx q[5], q[6];
rz(-0.124) q[6];
cx q[5], q[6];
cx q[0], q[6];
rz(-0.124) q[6];
cx q[0], q[6];
cx q[3], q[1];
rz(-0.124) q[1];
cx q[3], q[1];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[5], q[6];
rz(x0) q[6];
cx q[5], q[6];
cx q[0], q[6];
rz(x0) q[6];
cx... | null | {"circuits": [], "gradients": []} |
5144181ac27497fdfa9bdb5b8b799630 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}]} | {"states": [439, 435], "expectation_value": -3.6545618394036303, "params": [0.7809, 0.0731, 0.8078000000000001, 0.3189, 0.5869, 0.3791, 0.7769, 0.078, 0.8016000000000001, 0.3559, 0.6532, 0.3778, 0.35910000000000003, 0.3784, 0.8704000000000001, 0.109, 0.7632, -0.0171, 0.7795000000000001, 0.0506, 0.5750000000000001, 0.33... | 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 * ... | 18 | 9 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -3.5, "smallest_bitstrings": ["001100010", "010010001", "001001100", "100100010", "100010001", "001001010", "001010100", "100001010", "100100001", "010001100",... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.7809) q[0];
rz(0.0731) q[0];
rx(0.8078) q[1];
rz(0.3189) q[1];
rx(0.5869) q[2];
rz(0.3791) q[2];
rx(0.7769) q[3];
rz(0.078) q[3];
rx(0.8016) q[4];
rz(0.3559) q[4];
rx(0.6532) q[5];
rz(0.3778) q[5];
rx(0.3591) q[6];
rz(0.3784) q[6];
rx(0.8704) q[7];
rz(0.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input ... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
b6acc179a4a15da3d535b4a626064489 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 4... | {"states": [63, 61], "expectation_value": -1.1823270247723843, "params": [[-0.0635, -0.062400000000000004], [0.06570000000000001, 0.0621]], "bitstrings": ["1000000", "1000010"], "total_optimization_steps": 10, "probabilities": [0.0137852645739632, 0.014351683812779834], "optimization_time": 2.7150678634643555} | -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + 0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + -0.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(6)) + -0.75 * Z(5) + -0.25 * Z(0) + 1.25 * Z(1) + 1.0 * Z(2) + -0.25... | 1 | 7 | 2 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["1000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(0.0635) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(0.0635) q[1];
cx q[5], q[1];
cx q[1], q[2];
rz(0.127) q[2];
cx q[1], q[2];
cx q[5], q[4];
rz(0.0318) q[4];
cx q[5], q[4];
cx q[2], q[4];
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": 6} | {"circuits": [], "gradients": []} |
-6663575171690300114 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 5], [0, 2], [3, 4], [2, 6]]} | {"states": [75, 71], "expectation_value": -1.8391930009208826, "params": null, "bitstrings": ["0110100", "0111000"], "total_optimization_steps": 49, "probabilities": [0.050129494132700486, 0.7317076875442983], "optimization_time": 43.27276158332825} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.0, "smallest_bitstrings": ["1000111", "1101001", "0110100", "0111000", "0010110", "1100101", "0011010", "1001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.0342) q[6], q[2];
cry(-1.0342) q[5], q[1];
cry(-1.0342) q[4], q[3];
ry(0.7003) q[6];
cry(-0.7092) q[0], q[2];
cry(1.1516) q[6], q[0];
ry(0.7003) q[4];
ry(0.7003) q[5];
ry(-0.4549) q[3];
ry(-0.4549)... | 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];\ncry(-1.0342) q[6], 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... |
93141c357d164fcf2a36ba666f8f01e3 | edge_cover | 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}]} | {"states": [17, 25], "expectation_value": -0.37281248842968406, "params": [1.7109, 0.006200000000000001, 1.6236000000000002, 0.003, 0.9139, 0.0027, 0.9255, 0.0081, 1.6620000000000001, 0.0039000000000000003, 0.008400000000000001, 0.0034000000000000002, 0.006500000000000001, 0.0037, 0.009600000000000001], "bitstrings": [... | 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) | 18 | 5 | 1 | {"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;
rx(1.7109) q[0];
rz(0.0062) q[0];
rx(1.6236) q[1];
rz(0.003) q[1];
rx(0.9139) q[2];
rz(0.0027) q[2];
rx(0.9255) q[3];
rz(0.0081) q[3];
rx(1.662) q[4];
rz(0.0039) q[4];
crz(0.0084) q[4], q[0];
crz(0.0096) q[3], q[4];
crz(0.0037) q[2], q[3];
crz(0.0065) 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] 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": []} |
bdc829c24e8c4816616b9f106f37497b | 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": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": ... | {"states": [0, 256], "expectation_value": -9.257285935234233, "params": [-0.6374000000000001, 0.0025, 0.6371, 0.0045000000000000005, -0.22760000000000002, 0.0091, 0.2088, 0.0045000000000000005, -0.10260000000000001, 0.33740000000000003, 0.0784, 0.003, 0.7097, 0.0008, 0.7039000000000001, 0.0089, 0.16090000000000002, 0.0... | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(8) @ Z(4)) + -0.25 * (Z(8) @ Z(0)) + -0.25 * (Z(10) @ Z(0)) + -0.25 * (Z(11) @ Z(0)) + -0.25 * (Z(11) @ Z(8)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(2) @ Z(8)) + -0.5 * (Z(2) @ Z(10)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(8)) + -0.5 * (Z(1) @ Z(10)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * ... | 6 | 12 | 1 | {"smallest_eigenvalues": [-12.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["111011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.6374) q[0];
rz(0.0025) q[0];
rx(-0.2276) q[1];
rz(0.0091) q[1];
rx(-0.1026) q[2];
rz(0.3374) q[2];
rx(0.7097) q[3];
rz(0.0008) q[3];
rx(0.1609) q[4];
rz(0.0414) q[4];
rx(0.0124) q[5];
rz(0.501) q[5];
rx(0.4473) q[6];
rz(0.0003) q[6];
rx(-0.2603) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
5bfd79024282ae69c62758a244a2de56 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [56, 7], "expectation_value": -2.2127855701297507, "params": [[-0.0896], [0.082]], "bitstrings": ["000111", "111000"], "total_optimization_steps": 10, "probabilities": [0.02254377213338131, 0.023009192249583928], "optimization_time": 2.108088493347168} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 1.75 * (Z(5) @ Z(3)) + 1.75 * ... | 16 | 6 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.3136) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3136) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3136) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.3584) 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;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0... | {"k": 3} | {"circuits": [], "gradients": []} |
9a44f437194a4879d426f5b6a5686299 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [3, 7], "expectation_value": -11.75239077668585, "params": [[[0.9407000000000001, 0.0047], [0.8067000000000001, 0.009000000000000001], [0.9287000000000001, 0.0051], [0.9341, 0.0078000000000000005], [0.807, 0.0041], [1.5944, 0.00030000000000000003], [1.6055000000000001, 0.0037], [1.5992000000000002, 0.0005]]]... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.9407) q[0];
rz(0.0047) q[0];
rx(0.8067) q[1];
rz(0.009) q[1];
rx(0.9287) q[2];
rz(0.0051) q[2];
rx(0.9341) q[3];
rz(0.0078) q[3];
rx(0.807) q[4];
rz(0.0041) q[4];
rx(1.5944) q[5];
rz(0.0003) q[5];
rx(1.6055) q[6];
rz(0.0037) q[6];
rx(1.5992) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"k": 5} | {"circuits": [], "gradients": []} |
4ced5db35649043c659d4510a6e5d521 | 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": [221, 205], "expectation_value": -69.84919718601797, "params": [0.20090000000000002, 0.21450000000000002, -0.0097, 0.2783, 0.3836, 0.1252, 0.604, -0.00030000000000000003, 0.6008, 0.12480000000000001, -0.0023, 0.3158, 0.3796, 0.1492, 0.6022000000000001, -0.0002, 0.603, 0.1165, -0.006200000000000001, 0.3267, 0... | 7.5 * (Z(0) @ Z(3)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(1) @ Z(7)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(3)) + 7.5 * (Z(10) @ Z(0)) + 15.5 * Z(3) + 0.5 * Z(0) + 5.0 * Z(2) + 9.5 * Z(4) + -3.0 * Z(5) + 9.0 * Z(7) + -3.5 * Z(1) + 5.0 ... | 18 | 11 | 4 | {"smallest_eigenvalues": [-111.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -96.0, "smallest_bitstrings": ["11100110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.2009) q[0];
rz(0.2145) q[0];
rx(-0.0097) q[1];
rz(0.2783) q[1];
rx(0.3836) q[2];
rz(0.1252) q[2];
rx(0.604) q[3];
rz(-0.0003) q[3];
rx(0.6008) q[4];
rz(0.1248) q[4];
rx(-0.0023) q[5];
rz(0.3158) q[5];
rx(0.3796) q[6];
rz(0.1492) q[6];
rx(0.6022) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
abfc65dd279c9be0771666a7af1df613 | 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": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 8}, {"capac... | {"states": [0, 1], "expectation_value": -17.36810805648046, "params": [-0.0015, -0.11850000000000001, -0.0022, -0.1114, 0.0063, -0.1153, -0.0002, -0.15480000000000002, 0.0049, -0.1461, 0.0029000000000000002, -0.1474, 0.0043, -0.1428, 0.0023, -0.1495, 0.0041, -0.1401, 0.0033, -0.1426, 0.0044, -0.1395, 0.0006000000000000... | -1.0 * (Z(0) @ Z(3)) + -1.0 * (Z(4) @ Z(0)) + -0.25 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(8)) + -2.0 * (Z(6) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(8)) + -0.75 * (Z(2) @ Z(6)) + -1.0 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(8)) + -1.25 * (Z(7)... | 5 | 10 | 4 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.25, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0015) q[0];
rz(-0.1185) q[0];
rx(0.0063) q[1];
rz(-0.1153) q[1];
rx(0.0049) q[2];
rz(-0.1461) q[2];
rx(0.0043) q[3];
rz(-0.1428) q[3];
rx(0.0041) q[4];
rz(-0.1401) q[4];
rx(0.0044) q[5];
rz(-0.1395) q[5];
rx(0.0045) q[6];
rz(-0.1318) q[6];
rx(0.0042) q... | 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": []} |
23c6590e387f05fe94993d0724eddf92 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 7}, {"source": 2, "target": 6}, {"source": 2, "target": 7}, {"source": 2, "ta... | {"states": [220, 204], "expectation_value": -2.7420726805443296, "params": [0.5276000000000001, -0.0373, 0.602, 0.0018000000000000002, 0.49970000000000003, -0.0179, 0.5212, 0.047900000000000005, 0.5598000000000001, 0.003, 0.603, 0.0033, 0.0001, 0.3755, -0.0207, -0.30810000000000004, 0.5309, -0.035500000000000004, 0.603... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(6)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(7) + 0.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(6) + 0.0 * Z(4) + -0.5 * Z(5) | 3 | 8 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["10001011", "00110101", "00110011", "10100011", "00011011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.5276) q[0];
rz(-0.0373) q[0];
rx(0.602) q[1];
rz(0.0018) q[1];
rx(0.4997) q[2];
rz(-0.0179) q[2];
rx(0.5212) q[3];
rz(0.0479) q[3];
rx(0.5598) q[4];
rz(0.003) q[4];
rx(0.603) q[5];
rz(0.0033) q[5];
rx(0.0001) q[6];
rz(0.3755) q[6];
rx(-0.0207) 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": []} |
2df93713dba52fbc8f2926f6b2fd57be | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 3, ... | {"states": [29, 31], "expectation_value": -5.8546769839357795, "params": null, "bitstrings": ["11100010", "11100000"], "total_optimization_steps": 40, "probabilities": [0.41767691116306144, 0.419333279531861], "optimization_time": 35.42038083076477} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(4) @ Z(7)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(2) + 0.0 * Z(7) + 1.0 * Z(3) + 0.75 * Z(4) + 0.25 * Z(5) + 0.0 * Z(6) | 1 | 8 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["11100010", "11100000", "11100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-1.5706) q[2];
ry(1.5486) q[4];
cry(-1.5486) q[7], q[0];
ry(1.1286) q[7];
cry(1.5582) q[7], q[3];
ry(-1.5486) q[1];
cry(-0.6137) q[3], q[0];
ry(1.4448) q[5];
cry(0.2613) q[3], q[7];
cry(-0.0776... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5706) q[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... |
36d9a5cf3521b49d4476ce715d8c0ad7 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capaci... | {"states": [23, 5], "expectation_value": -0.7626798512947182, "params": [[0.06420000000000001], [-0.0594]], "bitstrings": ["101000", "111010"], "total_optimization_steps": 10, "probabilities": [0.020664229682222687, 0.02100910823934454], "optimization_time": 1.4189369678497314} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(5)) + 0.25 * Z(1) + -0.25 * Z(0) + -2.0 * Z(2) + -0.5 * Z(4) + 1.0 * Z(5) + 1.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["111010"]} | 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(-0.0321) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0963) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1605) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.321) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
71484c647e22c5f994bcf8c31a14b220 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [17, 19], "expectation_value": -4.986418389707064, "params": [0.0022, -0.18510000000000001, -0.0015, -0.186, 0.166, -0.0541, 0.1718, -0.0606, 0.15180000000000002, 0.038, 0.14750000000000002, 0.0393, 0.2984, 0.0038, 0.3009, 0.0008, -0.0022, 0.1738, 0.0024000000000000002, 0.1884, 0.0051, 0.17800000000000002, 0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + -1.0 * Z(2) ... | 7 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["10001111", "10101110", "11101100", "11001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0022) q[0];
rz(-0.1851) q[0];
rx(0.166) q[1];
rz(-0.0541) q[1];
rx(0.1518) q[2];
rz(0.038) q[2];
rx(0.2984) q[3];
rz(0.0038) q[3];
rx(-0.0022) q[4];
rz(0.1738) q[4];
rx(0.0051) q[5];
rz(0.178) q[5];
rx(0.2182) q[6];
rz(0.039) q[6];
rx(0.2514) 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] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
eb37df157f972d0ca6ce6f2978928048 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [36, 5], "expectation_value": -3.5782610622400384, "params": null, "bitstrings": ["011011", "111010"], "total_optimization_steps": 19, "probabilities": [0.13580601683014493, 0.8593843333407868], "optimization_time": 11.294845581054688} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(4) + -0.75 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5486) q[2];
cry(-1.5158) q[5], q[0];
ry(1.1269) q[5];
ry(-0.547) q[0];
ry(-1.3839) q[4];
ry(-1.3706) q[1];
ry(1.3569) q[3];
cry(0.309) q[3], q[5];
cry(-0.2118) q[3], q[0];
cry(0.191) q[5], q[3];
cry(-0.1824... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
05d141b5ffa8b0efeb584dec24db300e | 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": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [127, 126], "expectation_value": -2.3793668880387235, "params": [[-0.0737], [0.06860000000000001]], "bitstrings": ["0000000", "0000001"], "total_optimization_steps": 10, "probabilities": [0.014293170911999144, 0.014583897213863214], "optimization_time": 2.091111660003662} | -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(4)) + 1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(5)) + 0.... | 5 | 7 | 1 | {"smallest_eigenvalues": [-27.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.0, "smallest_bitstrings": ["0000001"]} | 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(0.3685) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0737) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.4422) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.0737) q[4];
cx q[1], q[4];
cx q[0], q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x1) q[2];
cx q[1], q[2]... | {"node": 6} | {"circuits": [], "gradients": []} |
7fd8a70c3a69e2479ad7cfee26a5ce21 | 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": [730, 722], "expectation_value": -86.6128990313477, "params": [1.0781, 0.0097, 2.7064, 0.0056, 0.0031000000000000003, 0.0048000000000000004, 2.6992000000000003, 0.0051, 2.701, 0.0086, -0.0029000000000000002, 0.0032, 2.7048, 0.0043, 1.4834, 0.0019, -0.0028, 0.0097, 2.6991, 0.002, 0.7214, 0.0078000000000000005... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(4) @ Z(0)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(7) @ Z(1)) + 7.5 * (Z(7) @ Z(3)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(10) @ Z(6)) + 7.5 * (Z(10) @ Z(9)) + 4.5 * Z(0) + 15.5 * Z(1) + 15.5 * Z(3) + -4.0 * Z(2) + 5.5 * Z(4) + -4.5 * Z... | 18 | 11 | 1 | {"smallest_eigenvalues": [-113.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -92.5, "smallest_bitstrings": ["10100101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.0781) q[0];
rz(0.0097) q[0];
rx(2.7064) q[1];
rz(0.0056) q[1];
rx(0.0031) q[2];
rz(0.0048) q[2];
rx(2.6992) q[3];
rz(0.0051) q[3];
rx(2.701) q[4];
rz(0.0086) q[4];
rx(-0.0029) q[5];
rz(0.0032) q[5];
rx(2.7048) q[6];
rz(0.0043) q[6];
rx(1.4834) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
f8645113517905e1df1749520352d679 | 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": 10, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 4}, {"weight": 7, "source": 2, "tar... | {"states": [252, 220], "expectation_value": -27.53017156826226, "params": [[-0.0455, -0.0044, 0.001, 0.014100000000000001], [0.0719, 0.0639, 0.0694, 0.0618]], "bitstrings": ["100000011", "100100011"], "total_optimization_steps": 10, "probabilities": [0.013023032716687998, 0.017165562616053762], "optimization_time": 13.... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 6.0 * Z(1) + 5.0 * Z(0) + 12.0 * Z(2) + 8.0 * Z(4) + 8.0... | 1 | 9 | 4 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.4095) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.4095) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(-0.4095) q[3];
cx q[4], q[3];
cx q[2], q[5];
rz(-0.4095) q[5];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
5096143430902867398 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 2, 6], [3, 4], [8, 2, 3, 5], [1, 5], [0, 2, 6, 7], [1, 4, 6], [2, 4], [0, 4], [4, 5, 6], [8, 0, 3, 6], [1, 3], [2, 3, 7], [0, 3, 5, 6], [0, 2, 5], [8, 7]]} | {"states": [485, 366], "expectation_value": -1.8007060171330695, "params": [[0.3503], [-0.3362]], "bitstrings": ["000011010", "010010001"], "total_optimization_steps": 40, "probabilities": [0.010225726871698867, 0.011268341234388059], "optimization_time": 2.1680288314819336} | 0.25 * (Z(8) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(8)) + 0.25 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(8)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.25 * (Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9166666666666656, "smallest_bitstrings": ["010010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[8];
rz(0.1752) q[8];
cx q[2], q[8];
cx q[2], q[6];
rz(0.1752) q[6];
cx q[2], q[6];
cx q[8], q[6];
rz(0.1752) q[6];
cx q[8], q[6];
cx q[2], q[3];
rz(0.1752) q[3];
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] 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 ... | null | {"circuits": [], "gradients": []} |
179242501914684100 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 6], [1, 2], [2, 3], [2, 5, 6], [1, 3, 5], [3, 4], [0, 2, 5], [0, 1, 5], [0, 2, 4], [0, 3]]} | {"states": [102, 86], "expectation_value": -0.09283493106188168, "params": [[0.0762], [-0.0636]], "bitstrings": ["0011001", "0101001"], "total_optimization_steps": 10, "probabilities": [0.008455838081373292, 0.008612244591867749], "optimization_time": 1.9856441020965576} | 0.5 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.3333333333333333 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.3333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5000000000000004, "smallest_bitstrings": ["0101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(0.0762) q[0];
cx q[6], q[0];
cx q[0], q[1];
rz(0.0254) q[1];
cx q[0], q[1];
cx q[6], q[2];
rz(0.0254) q[2];
cx q[6], q[2];
cx q[0], q[2];
rz(0.0508) q[2];
cx q[0], q[2];
cx q[1], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
cx q[0], q[1];
rz(x1) q[1];
cx q[0], q[1];
cx q[6], q[2];
rz(... | null | {"circuits": [], "gradients": []} |
022f37154ef60c6f79ecd211ae444bfa | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [134, 142], "expectation_value": -4.514516259300883, "params": [[[0.8076, 0.0005], [0.003, -0.41960000000000003], [0.19840000000000002, -0.29600000000000004], [-0.0017000000000000001, -0.4223], [0.7999, -0.0012000000000000001], [0.8026000000000001, -0.0031000000000000003], [0.8062, -0.0008], [0.1561000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + -2.0 * Z(1) + -0.5 * Z(0) + -1.0 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["01110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8076) q[0];
rz(0.0005) q[0];
rx(0.003) q[1];
rz(-0.4196) q[1];
rx(0.1984) q[2];
rz(-0.296) q[2];
rx(-0.0017) q[3];
rz(-0.4223) q[3];
rx(0.7999) q[4];
rz(-0.0012) q[4];
rx(0.8026) q[5];
rz(-0.0031) q[5];
rx(0.8062) q[6];
rz(-0.0008) q[6];
rx(0.1561) 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": []} |
126fb7ce9e06c1375b8cdf76d5948d1b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target":... | {"states": [906, 394], "expectation_value": -5.597406624943203, "params": [[[1.5327000000000002, 0.0029000000000000002], [1.6991, 0.0031000000000000003], [1.6099, 0.0025], [-0.0063, 0.0028], [1.4797, 0.0041], [0.0021000000000000003, 0.0025], [1.6478000000000002, 0.0039000000000000003], [-0.0018000000000000002, 0.006200... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5, -7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -6.5, "smallest_bitstrings": ["1001110101", "0011011101", "0011110101", "1101001101", "1101100101", "0110110101", "0110110110", "1001011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.5327) q[0];
rz(0.0029) q[0];
rx(1.6991) q[1];
rz(0.0031) q[1];
rx(1.6099) q[2];
rz(0.0025) q[2];
rx(-0.0063) q[3];
rz(0.0028) q[3];
rx(1.4797) q[4];
rz(0.0041) q[4];
rx(0.0021) q[5];
rz(0.0025) q[5];
rx(1.6478) q[6];
rz(0.0039) q[6];
rx(-0.0018) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
-6967344369790396192 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 4], [1, 5], [2, 4], [0, 3], [0, 5], [2, 3, 5], [1, 4]]} | {"states": [56, 7], "expectation_value": -0.07599825857068503, "params": [[0.07300000000000001], [-0.082]], "bitstrings": ["000111", "111000"], "total_optimization_steps": 10, "probabilities": [0.017961038192226768, 0.01809926545925023], "optimization_time": 1.4100770950317383} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(1) + 0.16666666666666674 * Z(5) + 0.1666... | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "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[4], q[0];
rz(0.073) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(0.073) q[1];
cx q[4], q[1];
cx q[0], q[5];
rz(0.073) q[5];
cx q[0], q[5];
cx q[1], q[5];
rz(0.073) q[5];
cx q[1], q[5];
cx q[4], q[2];
rz(0.073) q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx ... | null | {"circuits": [], "gradients": []} |
0b0b04a33d6e01f6b27fc13148d89a51 | 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": [340, 362], "expectation_value": -45.87591755842283, "params": [[[1.5677, 1.5685], [1.5681, 0.2918], [1.5681, 1.5733000000000001], [1.5679, -0.0627], [1.5677, 1.5689000000000002], [1.5684, 1.5690000000000002], [-1.5901, 1.5770000000000002], [-1.5705, 0.29560000000000003], [1.5688, 1.5687]]], "bitstrings": ["... | 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(3) @ Z(0)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(8) @ Z(7)) + 5.0 * Z(1) + 9.0 * Z(2) + 14.5 * Z(0) + 10.0 * Z(3) + 11.5 * Z(4) + 14.0 * Z(5) + -1.5 * Z(6) + 12.5... | 15 | 9 | 1 | {"smallest_eigenvalues": [-75.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.5677) q[0];
ry(1.5681) q[1];
ry(1.5681) q[2];
ry(1.5679) q[3];
ry(1.5677) q[4];
ry(1.5684) q[5];
ry(-1.5901) q[6];
ry(-1.5705) q[7];
ry(1.5688) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
da3d58a73339e185cfd0185fb85ea8b0 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"sour... | {"states": [44, 300], "expectation_value": -4.43655432742682, "params": [0.4098, 0.4081, 0.17070000000000002, 0.1686, 0.001, -0.0032, 0.39980000000000004, 0.40340000000000004, -0.0115, -0.0158, 0.39630000000000004, 0.40230000000000005, 0.4087, 0.40690000000000004, 0.10990000000000001, 0.113, 0.1082, 0.0869, 0.406, 0.40... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + -0.5 * Z(1) ... | 14 | 9 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["010011101", "011010011", "101110010", "011110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.4098) q[0];
ry(0.1707) q[1];
ry(0.001) q[2];
ry(0.3998) q[3];
ry(-0.0115) q[4];
ry(0.3963) q[5];
ry(0.4087) q[6];
ry(0.1099) q[7];
ry(0.1082) q[8];
crx(0.3494) q[8], q[0];
crx(-0.2216) q[7], q[8];
crx(-0.2271) q[6], q[7];
crx(0.3849) q[5], q[6];
crx(0.223... | OPENQASM 3.0;
include "stdgates.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": []} |
-2886344225172828999 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 7], [0, 4], [1, 2, 4], [0, 5, 7], [1, 3, 4], [4, 5, 6], [0, 5, 6], [3, 4, 6], [0, 1, 2], [2, 6], [1, 3, 5], [5, 6, 7]]} | {"states": [75, 211], "expectation_value": -0.07304991546866374, "params": [[-0.0478], [0.0565]], "bitstrings": ["10110100", "00101100"], "total_optimization_steps": 10, "probabilities": [0.004169104407475097, 0.004199616256675505], "optimization_time": 0.8711838722229004} | 0.5 * (Z(2) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.3333333333333333 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(7)) + 0.33333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.4999999999999996, "smallest_bitstrings": ["00101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[2];
rz(-0.0478) q[2];
cx q[7], q[2];
cx q[7], q[0];
rz(-0.0159) q[0];
cx q[7], q[0];
cx q[2], q[0];
rz(-0.0159) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.0159) q[4];
cx q[2], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[2];
rz(x0) q[2];
cx q[7], q[2];
cx q[7], q[0];
rz(x1) q[0];
cx q[... | null | {"circuits": [], "gradients": []} |
73756a37c91cab93072716a079a9ec85 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [711, 709], "expectation_value": -85.06557741818938, "params": [2.9003, 0.0078000000000000005, 1.2801, 0.0034000000000000002, 2.9036, 0.0074, 2.8954, 0.008700000000000001, 0.7164, 0.0049, -0.0024000000000000002, 0.0057, 0.3214, 0.005, 2.9037, 0.0063, 1.4888000000000001, 0.004200000000000001, 2.9028, 0.0035, ... | 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(9) @ Z(1)) + 6.5 * (Z(9) @ Z(7)) + 6.5 * (Z(9) @ Z(8)) + 12.0 * Z(2) + 9.5 * Z(1) + 19.5 * ... | 18 | 10 | 1 | {"smallest_eigenvalues": [-104.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -88.5, "smallest_bitstrings": ["0100111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(2.9003) q[0];
rz(0.0078) q[0];
rx(1.2801) q[1];
rz(0.0034) q[1];
rx(2.9036) q[2];
rz(0.0074) q[2];
rx(2.8954) q[3];
rz(0.0087) q[3];
rx(0.7164) q[4];
rz(0.0049) q[4];
rx(-0.0024) q[5];
rz(0.0057) q[5];
rx(0.3214) q[6];
rz(0.005) q[6];
rx(2.9037) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
d081b5ece414d97b04408b0b42241cfc | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [1039, 1551], "expectation_value": -6.997147463100957, "params": [[-0.056100000000000004, -0.051000000000000004, -0.044700000000000004, -0.027], [0.0629, 0.0692, 0.07490000000000001, 0.0722]], "bitstrings": ["01111110000", "00111110000"], "total_optimization_steps": 10, "probabilities": [0.002105254679153855... | 0.375 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.375 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(8)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(8)) + -... | 1 | 11 | 4 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["00111110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(-0.0421) q[0];
cx q[1], q[0];
cx q[7], q[2];
rz(-0.0561) q[2];
cx q[7], q[2];
cx q[7], q[8];
rz(-0.1122) q[8];
cx q[7], q[8];
cx q[2], q[8];
rz(-0.0561... | OPENQASM 3.0;
include "stdgates.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": []} |
e0ade851c431314b420faf30ab55361c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 2, "source": 3, ... | {"states": [95, 127], "expectation_value": -0.5822885974722966, "params": [[-0.0553, -0.0777], [0.0669, 0.0746]], "bitstrings": ["10100000", "10000000"], "total_optimization_steps": 10, "probabilities": [0.0061178534922397936, 0.006282664474448675], "optimization_time": 6.780417203903198} | -0.25 * (Z(0) @ Z(3)) + -1.0 * (Z(1) @ Z(3)) + -0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(4)) + -0.25 * (Z(5) @ Z(7)) + 0.0 * Z(3) + -0.25 * Z(0) + 0.25 * Z(1) + -1.0 * Z(7) + 1.0 * Z(4) + -0.5 * Z(2) + 0.25... | 1 | 8 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["10000000", "10100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(0.0277) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.1106) q[1];
cx q[3], q[1];
cx q[3], q[7];
rz(0.0553) q[7];
cx q[3], q[7];
cx q[0], q[7];
rz(-0.0553) q[7];
cx q[0], q[7];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
2cf6224a7b786ab8607e7cc5dbc62158 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 6... | {"states": [3, 43], "expectation_value": -9.333411341897254, "params": [0.007500000000000001, -0.0041, 0.3912, -0.41960000000000003, -0.0032, 0.0034000000000000002, 0.0021000000000000003, -0.005, 0.0038, 0.0049, 0.3536, 0.3744, 0.37510000000000004, 0.3745, 0.0021000000000000003, -0.0039000000000000003, -0.4943, -0.4869... | -1.0 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -1.25 * (Z(1) @ Z(3)) + 2.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -0.75 * Z(2) + -0.25 * Z(0) + -0.75 * Z(4) + 0.5 * Z(3) + -0.25 * Z(1) + 0.5 * Z(6) + 1.0 * Z(5) | 14 | 7 | 4 | {"smallest_eigenvalues": [-9.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.75, "smallest_bitstrings": ["1010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.0075) q[0];
ry(0.3912) q[1];
ry(-0.0032) q[2];
ry(0.0021) q[3];
ry(0.0038) q[4];
ry(0.3536) q[5];
ry(0.3751) q[6];
crx(0.0042) q[6], q[0];
crx(-0.0318) q[5], q[6];
crx(1.4128) q[4], q[5];
crx(-1.5652) q[3], q[4];
crx(0.8335) q[2], q[3];
crx(-1.99) q[1], q... | 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... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
2c69f66e23c234e31f1d5ec8aa443338 | connected_components | 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": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}]} | {"states": [0, 62], "expectation_value": -4.00559823916914, "params": [-0.3648, -0.010700000000000001, -0.32780000000000004, 0.4887, -0.3689, 0.1769, -0.3299, 0.4046, 0.3391, 0.42200000000000004, 0.328, 0.5547000000000001, 0.35760000000000003, 0.3336, 0.33280000000000004, 0.5684, 0.36460000000000004, 0.2877, 0.3426, 0.... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -0.5 * Z(5) | 6 | 6 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(-0.3648) q[0];
rz(-0.0107) q[0];
rx(-0.3689) q[1];
rz(0.1769) q[1];
rx(0.3391) q[2];
rz(0.422) q[2];
rx(0.3576) q[3];
rz(0.3336) q[3];
rx(0.3646) q[4];
rz(0.2877) q[4];
rx(-0.2989) q[5];
rz(0.6721) q[5];
crx(0.021) q[5], q[4];
crx(0.0754) q[5], q[3];
crx(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... | {"node": 5} | {"circuits": [], "gradients": []} |
3fb3735639c46bff7d77a855f00e5a0c | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 1... | {"states": [68, 5], "expectation_value": -7.659911186378091, "params": null, "bitstrings": ["0111011", "1111010"], "total_optimization_steps": 26, "probabilities": [0.14623545328473836, 0.8524775409824853], "optimization_time": 26.271645069122314} | -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 ... | 1 | 7 | 4 | {"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;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5706) q[5];
ry(1.5681) q[4];
cry(-1.5681) q[6], q[0];
ry(1.1964) q[6];
ry(-1.5681) q[1];
ry(-1.5681) q[3];
cry(-0.5985) q[4], q[0];
cry(-1.5658) q[4], q[2];
cry(0.2807) q[4], q[6];
ry(-0.1495) q[0];... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5706) 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", ... |
175dd49c484ef3d5fa3bd6c9677b2e54 | 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": 7, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 3}, {"weight": 19, "source": 1, "target": 7}, {"weight": 10, "source": 2, "tar... | {"states": [374, 214], "expectation_value": -26.572107025578195, "params": [[0.024800000000000003, 0.010700000000000001, -0.0015, -0.005], [-0.054900000000000004, -0.064, -0.041800000000000004, -0.0213]], "bitstrings": ["010001001", "100101001"], "total_optimization_steps": 10, "probabilities": [0.007482227020934936, 0... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 18.5 * Z(2) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.5, "smallest_bitstrings": ["100101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(0.2232) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.2232) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.2232) q[1];
cx q[0], q[1];
cx q[1], q[3];
rz(0.2232) q[3];
cx q[1], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
d03e32d5e9764c8343d7f8006656b730 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [1406, 1390], "expectation_value": -1.410711933193262, "params": [[[1.7079, 0.006900000000000001], [0.8962, 0.0078000000000000005], [1.7106000000000001, 0.0039000000000000003], [0.4494, 0.0097], [1.7033, 0.0098], [1.6976, 0.0083], [1.4764000000000002, 0.0083], [1.6976, 0.008700000000000001], [1.7048, 0.0092]... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(3) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(7) @ Z(0)) + 0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(8)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(9)) + 0.25 * (... | 1 | 11 | 1 | {"smallest_eigenvalues": [-4.78125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.78125, "smallest_bitstrings": ["01010010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.7079) q[0];
rz(0.0069) q[0];
rx(0.8962) q[1];
rz(0.0078) q[1];
rx(1.7106) q[2];
rz(0.0039) q[2];
rx(0.4494) q[3];
rz(0.0097) q[3];
rx(1.7033) q[4];
rz(0.0098) q[4];
rx(1.6976) q[5];
rz(0.0083) q[5];
rx(1.4764) q[6];
rz(0.0083) q[6];
rx(1.6976) 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": []} |
-3361402175166855176 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 2], [0, 1, 3], [3, 4]]} | {"states": [6, 18], "expectation_value": -1.2218086148497773, "params": null, "bitstrings": ["11001", "01101"], "total_optimization_steps": 25, "probabilities": [0.04655937780380764, 0.7962659496753344], "optimization_time": 12.486250638961792} | 0.5 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.0 * Z(2) + 0.16666666666666663 * Z(0) + 0.16666666666666666 * Z(1) + 0.16666666666666663 * Z(3) + 0.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.333333333333333, -1.333333333333333, -1.333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.9999999999999999, "smallest_bitstrings": ["10001", "01101", "00110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cry(-1.0342) q[3], q[4];
ry(0.971) q[3];
ry(-0.6611) q[4];
cry(-1.0342) q[0], q[2];
ry(0.7884) q[0];
ry(-0.5281) q[2];
cry(0.4426) q[3], q[0];
cry(0.3424) q[0], q[3];
cry(-0.3214) q[3], q[2];
cry(-0.6063) q[0], q[1];
cry... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... |
5d3a7f0fc0229f8fe840773b48e2ac4d | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [4589, 4605], "expectation_value": -3.3776559953839507, "params": [0.39890000000000003, 0.002, 0.3952, 0.0004, 0.0071, 0.2999, -0.0012000000000000001, 0.3396, 0.0021000000000000003, 0.34690000000000004, 0.0033, 0.3498, 0.0031000000000000003, -0.2979, -0.0056, -0.3004, 0.42100000000000004, -0.0329, 0.4164, -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)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(6) @ Z(3) @ Z(4)) + -0.125 * (Z(... | 7 | 13 | 4 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.687... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.3989) q[0];
rz(0.002) q[0];
rx(0.0071) q[1];
rz(0.2999) q[1];
rx(0.0021) q[2];
rz(0.3469) q[2];
rx(0.0031) q[3];
rz(-0.2979) q[3];
rx(0.421) q[4];
rz(-0.0329) q[4];
rx(0.3947) q[5];
rz(0.0144) q[5];
rx(0.4125) q[6];
rz(0.0043) q[6];
rx(0.392) q[7];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
74a9039e61abdfc370e0e9ccbda58085 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 5}]} | {"states": [46, 45], "expectation_value": -3.999899063456072, "params": null, "bitstrings": ["010001", "010010"], "total_optimization_steps": 27, "probabilities": [1.641445749207698e-05, 0.9999303761353509], "optimization_time": 26.52905511856079} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + 0.0 * Z(3) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "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];
ry(-1.5708) q[1];
ry(-1.4449) q[4];
ry(1.4449) q[3];
ry(1.4449) q[2];
ry(1.4417) q[0];
ry(1.4417) q[5];
cry(-0.1259) q[5], q[4];
cry(0.1217) q[3], q[0];
cry(0.1216) q[0], q[5];
cry(0.1188) q[0], q[2];
cry(0.1186)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) 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... |
-665890028297923844 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[3, 4, 5], [0, 3], [1, 3], [2, 3]]} | {"states": [6, 5], "expectation_value": -0.0005373862392333388, "params": [[-0.0078000000000000005], [0.0098]], "bitstrings": ["111001", "111010"], "total_optimization_steps": 10, "probabilities": [0.015641795915277947, 0.01564179591527795], "optimization_time": 0.4238860607147217} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * Z(4) + 0.16666666666666674 * Z(3) + 0.16666666666666666 * Z(5) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.5000000000000002, "smallest_bitstrings": ["000100", "111010", "111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[3];
rz(-0.0026) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(-0.0026) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(-0.0026) q[5];
cx q[3], q[5];
cx q[3], q[0];
rz(-0.0078) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(x0) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(x0) q[5];
cx q[3], q[5];
cx ... | null | {"circuits": [], "gradients": []} |
9b6c90aee56ab84919f7c826e678a024 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [3, 9], "expectation_value": -1.206197137338808, "params": [[-0.015000000000000001, -0.041600000000000005, 0.0709], [-0.0014, 0.0536, -0.0395]], "bitstrings": ["11100", "10110"], "total_optimization_steps": 10, "probabilities": [0.036500171769426194, 0.03650017176942626], "optimization_time": 2.9303741455078... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -2.75 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 10 | 5 | 3 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "10110"]} | 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(-0.0525) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0525) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0525) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.06) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0525) 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[... | {"k": 3} | {"circuits": [], "gradients": []} |
87ba346715d7ffd469182fcb7e9830c2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6... | {"states": [17, 19], "expectation_value": -1.8503184861654127, "params": [[0.057300000000000004, 0.046700000000000005], [-0.0472, -0.040400000000000005]], "bitstrings": ["1101110", "1101100"], "total_optimization_steps": 10, "probabilities": [0.013238711018952945, 0.013877952482313292], "optimization_time": 2.652460098... | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -2.75 * Z(1) + -0.25 * Z(0) + 4.0 * Z(2) + 1.75 * Z(4) + 0.5 * Z(6) + -1.75 * Z(3) + -1... | 1 | 7 | 2 | {"smallest_eigenvalues": [-16.5, -16.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.5, "smallest_bitstrings": ["1101110", "1101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.1146) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1433) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0573) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.1146) q[4];
cx q[1], q[4];
cx q[0], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
66821967a3f10beeb83d52b84e4f3aaa | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [59, 57], "expectation_value": -3.733165110077514, "params": [-0.0074, -0.29460000000000003, 0.0381, -0.2787, 0.608, 0.0024000000000000002, 0.5927, -0.0056, 0.6015, -0.0044, 0.0625, 0.24710000000000001, 0.24910000000000002, -0.2015, 0.6105, 0.0006000000000000001, -0.006200000000000001, -0.3196, 0.0454, -0.27... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + -1.0 * Z(3) + -1.5 * Z(0) + -0.5 * Z(4) + -1.5 * Z(5) + 0.0 * Z(7) + -0.5 * Z(1) + -1.0 * Z(6) + 0.0... | 4 | 8 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["10110010", "10010110", "11001100", "11000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0074) q[0];
rz(-0.2946) q[0];
rx(0.0381) q[1];
rz(-0.2787) q[1];
rx(0.608) q[2];
rz(0.0024) q[2];
rx(0.5927) q[3];
rz(-0.0056) q[3];
rx(0.6015) q[4];
rz(-0.0044) q[4];
rx(0.0625) q[5];
rz(0.2471) q[5];
rx(0.2491) q[6];
rz(-0.2015) q[6];
rx(0.6105) 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": []} |
e1508c23709a136243bba25d0bd02a12 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1331, 1299], "expectation_value": -63.10878565382413, "params": [2.3009, 0.0049, 1.2919, 0.0091, 2.2982, 0.00030000000000000003, 0.024, 0.0054, -0.0026000000000000003, 0.0067, 1.4736, 0.0012000000000000001, 2.2997, 0.0006000000000000001, -0.0031000000000000003, 0.0013000000000000002, 1.2798, 0.0069000000000... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(7) @ Z(0)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(10) @ Z(1)) + 7.0 * (Z(9) @ Z(5)) + 7.0 * (Z(9) @ Z(10)) + 8.5 * Z(0) + 3.0 * Z(1) + -3.0 * Z(3) + 16.0 * Z(2) + 16.5 * Z(6) + 4.0 * Z(5) + -5.5 * Z(7) + 3.0... | 18 | 11 | 1 | {"smallest_eigenvalues": [-107.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -102.0, "smallest_bitstrings": ["01011101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(2.3009) q[0];
rz(0.0049) q[0];
rx(1.2919) q[1];
rz(0.0091) q[1];
rx(2.2982) q[2];
rz(0.0003) q[2];
rx(0.024) q[3];
rz(0.0054) q[3];
rx(-0.0026) q[4];
rz(0.0067) q[4];
rx(1.4736) q[5];
rz(0.0012) q[5];
rx(2.2997) q[6];
rz(0.0006) q[6];
rx(-0.0031) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
611172065062800315 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[1, 2, 4], [1, 3], [0, 1, 2], [2, 3, 4]]} | {"states": [22, 25], "expectation_value": -0.030077047680544533, "params": [[-0.066], [0.0661]], "bitstrings": ["01001", "00110"], "total_optimization_steps": 10, "probabilities": [0.032429591420660556, 0.03243127503222934], "optimization_time": 1.5847976207733154} | 0.3333333333333333 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.4999999999999999 * Z(2) + 0.3333... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.1666666666666672], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.1666666666666667, "smallest_bitstrings": ["00110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[1];
rz(-0.044) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(-0.044) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(-0.022) q[4];
cx q[1], q[4];
cx q[2], q[3];
rz(-0.022) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.066) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(x0) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(x1) q[4];
cx q[1], q[4];
cx q[2], q[... | null | {"circuits": [], "gradients": []} |
3f6cd58ea9824e6c849fdf6cebbc868c | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 2, "target": 8}, {"source": 3, "target": 6}, {"source": 3, "target": 8}, {"sour... | {"states": [63, 255], "expectation_value": -1.7818447586717425, "params": [[0.06570000000000001], [-0.0599]], "bitstrings": ["11000000", "00000000"], "total_optimization_steps": 10, "probabilities": [0.005851933413274376, 0.0060313364644487165], "optimization_time": 2.6074752807617188} | -1.0 * (Z(0) @ Z(1)) + 1.5 * (Z(4) @ Z(7)) + -2.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + -3.0 * (Z(5) @ Z(7)) + -3.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -3.0 * (Z(6) @ Z(7)) + -3.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-17.0, -17.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -16.0, "smallest_bitstrings": ["00000000", "00111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.1314) q[0];
cx q[1], q[0];
cx q[7], q[4];
rz(0.1971) q[4];
cx q[7], q[4];
cx q[7], q[2];
rz(-0.3285) q[2];
cx q[7], q[2];
cx q[4], q[2];
rz(0.0657) q[2];
cx q[4], q[2];
cx q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"node": 2} | {"circuits": [], "gradients": []} |
00c47f772e828bc0d4453cbe4002ef93 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 6}, ... | {"states": [165, 167], "expectation_value": -1.6934858147226821, "params": [0.5975, 0.6691, 1.0012, 1.0007000000000001, 0.5342, 0.5065000000000001, 1.0056, 1.0023, 0.38430000000000003, 0.3962, 0.0021000000000000003, 0.0015, 1.0013, 1.0055, 1.0012, 0.9985, 1.0077, 1.0012, 0.9034000000000001, 0.9918, 0.4163, 0.9931000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(0) @ Z(6) @ Z(7)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(8) @ Z(1)) + 0.12... | 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": ["001101100", "010101010", "001011100", "001011010", "101011000", "100011001", "100011010", "010011010", "100101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.5975) q[0];
ry(1.0012) q[1];
ry(0.5342) q[2];
ry(1.0056) q[3];
ry(0.3843) q[4];
ry(0.0021) q[5];
ry(1.0013) q[6];
ry(1.0012) q[7];
ry(1.0077) q[8];
crx(0.9034) q[8], q[0];
crx(0.1716) q[7], q[8];
crx(-0.0169) q[6], q[7];
crx(0.724) q[5], q[6];
crx(-0.0058... | OPENQASM 3.0;
include "stdgates.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": []} |
c5d57071b024d109c38c43678d62eaf1 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}]} | {"states": [48, 56], "expectation_value": -2.01070128895062, "params": [1.6108, 0.006200000000000001, 1.6044, 0.003, 1.5982, 0.0027, 0.0025, 0.0081, 0.0025, 0.0039000000000000003, 0.0027, 0.0034000000000000002, 0.006500000000000001, 0.0037, 0.009600000000000001, 0.0014, 0.008700000000000001, 0.0047], "bitstrings": ["00... | 0.9 * (Z(0) @ Z(1)) + 1.8 * (Z(2) @ Z(1)) + 0.9 * (Z(2) @ Z(0)) + -0.1 * (Z(3) @ Z(4)) + -0.2 * (Z(5) @ Z(4)) + -0.1 * (Z(5) @ Z(3)) + 4.5 * Z(1) + 2.25 * Z(0) + 4.5 * Z(2) + -0.5 * Z(4) + -0.25 * Z(3) + -0.5 * Z(5) | 18 | 6 | 1 | {"smallest_eigenvalues": [-9.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.4, "smallest_bitstrings": ["000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(1.6108) q[0];
rz(0.0062) q[0];
rx(1.6044) q[1];
rz(0.003) q[1];
rx(1.5982) q[2];
rz(0.0027) q[2];
rx(0.0025) q[3];
rz(0.0081) q[3];
rx(0.0025) q[4];
rz(0.0039) q[4];
rx(0.0027) q[5];
rz(0.0034) q[5];
crz(0.0065) q[5], q[0];
crz(0.0047) q[4], q[5];
crz(0.008... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} |
760a7ce4d437b8e424d32a337832813a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [2734, 2750], "expectation_value": -1.9994272628858005, "params": [[[0.8034, 0.001], [0.5912000000000001, -0.1947], [0.9988, -0.0044], [0.5912000000000001, 0.1947], [1.0017, -0.0044], [0.0956, 0.43970000000000004], [0.9987, 0.0039000000000000003], [0.7911, 0.0031000000000000003], [1.0033, 0.0044], [0.9999, -... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(0) @ Z(2) @ Z(1)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.25 * (Z(1) @ Z(7)) + 0.25 * (Z(8) @ Z(1)) + 0.25 * (Z(8) @ Z(7)) + -0.25 * (Z(8) @ Z(1) @ Z(7)) ... | 1 | 12 | 2 | {"smallest_eigenvalues": [-5.015625, -5.015625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.015625, "smallest_bitstrings": ["010101000001", "100001010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.8034) q[0];
rz(0.001) q[0];
rx(0.5912) q[1];
rz(-0.1947) q[1];
rx(0.9988) q[2];
rz(-0.0044) q[2];
rx(0.5912) q[3];
rz(0.1947) q[3];
rx(1.0017) q[4];
rz(-0.0044) q[4];
rx(0.0956) q[5];
rz(0.4397) q[5];
rx(0.9987) q[6];
rz(0.0039) q[6];
rx(0.7911) 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": []} |
bc61f035d1c66afdfb18fc5ab29f7217 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 8}, {"capacity": 4, "source": 0, "target":... | {"states": [800, 804], "expectation_value": -15.88041105490979, "params": [-0.0043, -0.0033, 0.38170000000000004, 0.3759, 0.36300000000000004, 0.35710000000000003, 0.005, -0.0012000000000000001, -0.0022, 0.0039000000000000003, 0.386, 0.38270000000000004, 0.0066, 0.001, 0.0053, 0.0007, -0.2114, -0.2152, 0.0005, 0.001700... | -1.0 * (Z(0) @ Z(3)) + -1.0 * (Z(9) @ Z(0)) + -0.25 * (Z(10) @ Z(3)) + -1.0 * (Z(10) @ Z(0)) + 3.25 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(10)) + -1.25 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(9)) + -0.25 * (Z(6) @ Z(9)) + -0.5 * (Z(6) @ Z(10)) + -1.5 * (Z(6) @ Z(4)) + -0.25 * (Z(5) @ Z(10)) + -0.5 * (Z... | 14 | 11 | 4 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["10011011011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0043) q[0];
ry(0.3817) q[1];
ry(0.363) q[2];
ry(0.005) q[3];
ry(-0.0022) q[4];
ry(0.386) q[5];
ry(0.0066) q[6];
ry(0.0053) q[7];
ry(-0.2114) q[8];
ry(0.0005) q[9];
ry(0.0075) q[10];
crx(0.0122) q[10], q[0];
crx(0.27) q[9], q[10];
crx(0.0004) q[8], q[9]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
97e21f4d4c173b2fe36d0dd34d33fc9b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [14, 142], "expectation_value": -4.5108438607413595, "params": [1.6053000000000002, 0.0027, 0.9252, 0.3906, 0.3778, -0.0028, 0.17800000000000002, 0.0017000000000000001, 1.6078000000000001, 0.0036000000000000003, 1.6124, -0.0035, 1.6052000000000002, -0.0076, -0.0073, 0.0068000000000000005, -1.5859, 0.7709, 1.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -1.0 * Z(1) + -0.5 * Z(0) + -2.0 * Z(3) + -1.0 * Z(6) + ... | 4 | 8 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["01110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.6053) q[0];
rz(0.0027) q[0];
rx(0.9252) q[1];
rz(0.3906) q[1];
rx(0.3778) q[2];
rz(-0.0028) q[2];
rx(0.178) q[3];
rz(0.0017) q[3];
rx(1.6078) q[4];
rz(0.0036) q[4];
rx(1.6124) q[5];
rz(-0.0035) q[5];
rx(1.6052) q[6];
rz(-0.0076) q[6];
rx(-0.0073) 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": []} |
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