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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
d2afe27b0de0de0693309013bd4cb7f6 | matching | qaoa | {"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": 14, "source": 0, "target": 5}, {"weight": 15, "source": 1, "target": 4}, {"weight": 11, "source": 1, "target": 3}, {... | {"states": [123, 115], "expectation_value": -20.487758249056753, "params": [[0.0252, 0.008400000000000001, -0.00030000000000000003], [-0.0539, -0.06420000000000001, -0.06860000000000001]], "bitstrings": ["10000100", "10001100"], "total_optimization_steps": 10, "probabilities": [0.011829552204311897, 0.01451807796527367... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 5.5 * Z(0) + 9.5 * Z(2) + 15.5 * Z(3) + 1.... | 1 | 8 | 3 | {"smallest_eigenvalues": [-60.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.5, "smallest_bitstrings": ["10001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.2016) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.2016) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.2016) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.2016) q[3];
cx q[2], q[3];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
3858556329495993786 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[3, 4], [0, 3], [1, 2], [1, 3], [0, 4]]} | {"states": [9, 22], "expectation_value": -0.04374967361884552, "params": [[0.0645], [-0.06910000000000001]], "bitstrings": ["10110", "01001"], "total_optimization_steps": 10, "probabilities": [0.03291610657798819, 0.03291610657798819], "optimization_time": 0.9895317554473877} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -0.5, "smallest_bitstrings": ["11001", "11000", "10110", "01001", "00111", "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[4], q[3];
rz(0.0645) q[3];
cx q[4], q[3];
cx q[4], q[0];
rz(0.0645) q[0];
cx q[4], q[0];
cx q[3], q[0];
rz(0.0645) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.0645) q[1];
cx q[3], q[1];
cx q[1], q[2];
rz(0.0645) q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx ... | null | {"circuits": [], "gradients": []} |
019d3b704dd6266af057e50228ef8e80 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [224, 226], "expectation_value": -3.876510720832222, "params": [1.5076, -0.004, 1.5072, 0.001, 1.5123, 0.0037, 0.23950000000000002, 0.0036000000000000003, 0.2916, 0.261, 0.7904, 0.0032, 1.5110000000000001, 0.0037, 0.22970000000000002, 0.0086, 1.4917, 1.4898, -1.466, -0.2546, 0.9800000000000001, -0.8145, 1.47... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.0 * Z(5) + -1.5 * Z(7) + -1.0 * Z(4) + 0.0 * Z(... | 4 | 8 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["00011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.5076) q[0];
rz(-0.004) q[0];
rx(1.5072) q[1];
rz(0.001) q[1];
rx(1.5123) q[2];
rz(0.0037) q[2];
rx(0.2395) q[3];
rz(0.0036) q[3];
rx(0.2916) q[4];
rz(0.261) q[4];
rx(0.7904) q[5];
rz(0.0032) q[5];
rx(1.511) q[6];
rz(0.0037) q[6];
rx(0.2297) q[7];
rz(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] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
a3571c19d72a014065614d323aff3379 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [29, 30], "expectation_value": -3.9998990634532334, "params": null, "bitstrings": ["100010", "100001"], "total_optimization_steps": 25, "probabilities": [1.641445737550844e-05, 0.9999303761353144], "optimization_time": 17.1452419757843} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(3) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[0];
ry(-1.4449) q[5];
ry(1.4449) q[3];
ry(1.4449) q[1];
ry(1.4417) q[2];
ry(1.4417) q[4];
cry(-0.1259) q[4], q[5];
cry(0.1217) q[1], q[2];
cry(0.1216) q[2], q[4];
cry(0.1188) q[2], q[3];
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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
9115919578730875140 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 10, 11, 5], [3, 11, 4, 6], [1, 2, 6], [6, 7], [8, 1, 2, 10], [9, 3, 7], [0, 1, 11], [8, 2, 3, 7], [0, 10, 4], [1, 4, 5], [0, 8, 5], [2, 4, 7], [3, 4, 7], [0, 2, 5], [9, 10, 3, 6], [0, 9, 2, 4], [8, 9, 3, 5], [8, 1, 4], [2, 11], [8, 9, 4], [2, 10, 3], ... | {"states": [4070, 4068], "expectation_value": -5.2897472362776465, "params": [[[2.2206, 0.0002], [2.7871, 0.0085], [2.7350000000000003, 0.0028], [2.7983000000000002, 0.0017000000000000001], [2.7825, 0.0017000000000000001], [2.7593, 0.0034000000000000002], [2.2106, 0.0004], [0.9706, 0.0027], [1.4606000000000001, 0.0015]... | 0.25 * (Z(9) @ Z(10)) + 0.08333333333333333 * (Z(11) @ Z(10)) + 0.08333333333333333 * (Z(11) @ Z(9)) + 0.08333333333333333 * (Z(5) @ Z(10)) + 0.16666666666666666 * (Z(5) @ Z(9)) + 0.3333333333333333 * (Z(5) @ Z(11)) + 0.5 * (Z(3) @ Z(10)) + 0.49999999999999994 * (Z(3) @ Z(9)) + 0.3333333333333333 * (Z(3) @ Z(11)) + 0.4... | 1 | 12 | 1 | {"smallest_eigenvalues": [-7.916666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.333333333333335, "smallest_bitstrings": ["000000011011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(2.2206) q[0];
rz(0.0002) q[0];
rx(2.7871) q[1];
rz(0.0085) q[1];
rx(2.735) q[2];
rz(0.0028) q[2];
rx(2.7983) q[3];
rz(0.0017) q[3];
rx(2.7825) q[4];
rz(0.0017) q[4];
rx(2.7593) q[5];
rz(0.0034) q[5];
rx(2.2106) q[6];
rz(0.0004) q[6];
rx(0.9706) 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": []} |
dd120ab3488feb158ebf53f7278aa3b4 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 8}, {"source": 1, "target": 7}, {"source": 1, "target": 5}, {"sour... | {"states": [30, 286], "expectation_value": -3.919949050467234, "params": [0.29300000000000004, 0.2859, 0.0873, 0.0915, 0.0026000000000000003, -0.0046, 0.0557, 0.0572, 0.2973, 0.3008, 0.2994, 0.304, 0.3018, 0.3053, 0.29710000000000003, 0.3057, -0.0012000000000000001, -0.0067, 0.2868, 0.2868, 0.0879, 0.0835, 0.0008, -0.0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(8) + -0.5 * Z(7) + -0.5 * Z... | 13 | 9 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["011100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.293) q[0];
ry(0.0873) q[1];
ry(0.0026) q[2];
ry(0.0557) q[3];
ry(0.2973) q[4];
ry(0.2994) q[5];
ry(0.3018) q[6];
ry(0.2971) q[7];
ry(-0.0012) q[8];
crz(0.182) q[8], q[0];
crz(0.0659) q[7], q[8];
crz(0.0009) q[6], q[7];
crz(0.0003) q[5], q[6];
crz(0.0032) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input fl... | null | {"circuits": [], "gradients": []} |
2133bfe2f16c389d56b638843cb4baa9 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [88, 112], "expectation_value": -1.1007176107659364, "params": [[0.0796, 0.07490000000000001], [-0.0835, -0.07150000000000001]], "bitstrings": ["0100111", "0001111"], "total_optimization_steps": 10, "probabilities": [0.011981902060629839, 0.012965978537131415], "optimization_time": 3.550212860107422} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + -1.5 * Z(4) + -1.0 * Z(0) + -1.5 * Z(5) + -2.0 * Z(6) + ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0001111", "0100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(0.0796) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(0.0796) q[5];
cx q[0], q[5];
cx q[4], q[6];
rz(0.0796) q[6];
cx q[4], q[6];
cx q[0], q[6];
rz(0.0796) q[6];
cx q[0], q[6];
cx q[5], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
db0291c52424c8e60b1358129bc39ad9 | 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": 7}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 1, "target": 2}, {"source": 2, "target":... | {"states": [561, 817], "expectation_value": -3.3908145479771723, "params": [1.1029, 1.0993, 0.8510000000000001, 0.8561000000000001, -0.0047, -0.0007, 0.5198, 0.4824, 1.093, 1.0871, 1.1062, 1.1053, 0.24430000000000002, 0.2406, -0.0013000000000000002, -0.0061, 0.4898, 0.48810000000000003, 1.0854000000000001, 1.0852, -0.0... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(9) @ Z(8)) + -1.0 * Z(7) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(6) + -1.0 * Z(2) + -0.5 * Z(8) + -0.5 * Z(3) + 0.0... | 13 | 10 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.0, "smallest_bitstrings": ["0011001101", "0011001110", "0101010110", "0101001110", "1101010010", "0010101110", "0010101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.1029) q[0];
ry(0.851) q[1];
ry(-0.0047) q[2];
ry(0.5198) q[3];
ry(1.093) q[4];
ry(1.1062) q[5];
ry(0.2443) q[6];
ry(-0.0013) q[7];
ry(0.4898) q[8];
ry(1.0854) q[9];
crz(-0.0516) q[9], q[0];
crz(0.6096) q[8], q[9];
crz(0.4616) q[7], q[8];
crz(-0.6101) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
1d90f6c59bdc244a93b2d39d285f8ffc | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 4}, {"weight": 19, "source": 0, "target": 3}, {"weight": 1, "source... | {"states": [198, 214], "expectation_value": -37.86921302769991, "params": null, "bitstrings": ["100111001", "100101001"], "total_optimization_steps": 100, "probabilities": [0.08535207575818739, 0.2148585023501647], "optimization_time": 187.95867443084717} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) @ Z(7)) + 19.5 * Z(1) + 1.5 * Z(0) + 14.0 * Z(2) + 0.5 * Z(3) + 9.... | 1 | 9 | 3 | {"smallest_eigenvalues": [-84.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "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];
ry(9.9081) q[1];
ry(39.4919) q[2];
cry(-34.431) q[2], q[1];
ry(37.6583) q[6];
cry(16.8466) q[2], q[6];
ry(-29.6344) q[7];
cry(62.1254) q[7], q[1];
ry(5.0164) q[4];
cry(9.3575) q[8], q[1];
... | null | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(9.9081) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
c835fa1e3e69cb531a622e34cffeb2bc | 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": 7, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 7}, {"weight": 20, "source": 0, "target": 5}, {"weight": 9, "source": 2, "targ... | {"states": [219, 218], "expectation_value": -77.63739956595053, "params": [0.48960000000000004, -0.502, 1.4927000000000001, -0.0021000000000000003, 1.4991, -0.14830000000000002, 0.6445000000000001, -0.42000000000000004, 1.4908000000000001, -0.0024000000000000002, 1.4955, -0.1841, 0.46030000000000004, -0.4859, 1.4967000... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-91.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.4896) q[0];
rz(-0.502) q[0];
rx(1.4927) q[1];
rz(-0.0021) q[1];
rx(1.4991) q[2];
rz(-0.1483) q[2];
rx(0.6445) q[3];
rz(-0.42) q[3];
rx(1.4908) q[4];
rz(-0.0024) q[4];
rx(1.4955) q[5];
rz(-0.1841) q[5];
rx(0.4603) q[6];
rz(-0.4859) q[6];
rx(1.4967) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
d78f7556e7639886d17f02ad3944a31a | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": 4, "target":... | {"states": [448, 451], "expectation_value": -1.595934453242942, "params": [[0.0766], [-0.0845]], "bitstrings": ["000111111", "000111100"], "total_optimization_steps": 10, "probabilities": [0.0032081268649617385, 0.0033673285586248744], "optimization_time": 1.5645623207092285} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(6)) + -2.5 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(6)) + 1.0 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z(6) + -2.0 * Z(3) + -2.0 * Z(4) + -2.0 * Z(5) +... | 5 | 9 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["000111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
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(-0.2298) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2298) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0766) q[2];
cx q[0], q[2];
cx q[6], q[3];
rz(-0.383) q[3];
cx q[6], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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[... | {"node": 4} | {"circuits": [], "gradients": []} |
cee21d2c524e6fc138e70d6d9e27345e | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 6, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 2}]} | {"states": [250, 239], "expectation_value": -12.024010549435326, "params": null, "bitstrings": ["100000101", "100010000"], "total_optimization_steps": 100, "probabilities": [0.14247663162315644, 0.539232571404101], "optimization_time": 304.9671366214752} | 2.0 * (Z(1) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(1)) + 1.0 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 1.0 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["100010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(0.4397) q[2];
cry(0.7951) q[6], q[2];
cry(0.5504) q[5], q[2];
cry(1.382) q[8], q[6];
ry(1.5708) q[1];
cry(1.2175) q[6], q[8];
cry(1.4411) q[7], q[5];
cry(-0.6101) q[1], q[2];
cry(0.3105... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(0.4397) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
e58428a6900eb2eef0cb4731fd8b4a99 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6... | {"states": [45, 1], "expectation_value": -1.6369929238763579, "params": [[-0.0296, -0.0233, -0.048600000000000004, -0.0367], [0.0446, 0.012700000000000001, 0.0489, 0.0454]], "bitstrings": ["1010010", "1111110"], "total_optimization_steps": 10, "probabilities": [0.015133758912418159, 0.01643500676603955], "optimization_... | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(6) @ Z(1)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(4) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + -2.5 * Z(5) + 1.75 ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-11.5, -11.5, -11.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.5, "smallest_bitstrings": ["1111110", "1011110", "1010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0296) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.074) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(0.0592) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0296) q[5];
cx q[0], q[5];
cx q[2], q[5];
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": []} |
6172ec2f30329f156b64312801e66ef4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 6... | {"states": [37, 47], "expectation_value": -3.389274229662997, "params": [[-0.0658, -0.0695, -0.068, -0.0536], [0.0724, 0.0709, 0.0703, 0.0655]], "bitstrings": ["1011010", "1010000"], "total_optimization_steps": 10, "probabilities": [0.025178850204794916, 0.028484158328147168], "optimization_time": 4.7090466022491455} | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -0.25 * Z(0) + 1.75 * Z(1) + -1.5 * Z(3) + -0.25 * Z(6) + 1.25 * Z(4) + 0.5 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["1010000", "1011010", "1011000"]} | 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(0.1645) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1645) q[1];
cx q[2], q[1];
cx q[1], q[3];
rz(0.0329) q[3];
cx q[1], q[3];
cx q[2], q[6];
rz(0.1316) q[6];
cx q[2], q[6];
cx q[0], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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": []} |
b4844a241e7c75ea7eb690acd3c4c004 | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [411, 413], "expectation_value": -5.710684425785294, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741882, 0.8578073217068282], "optimization_time": 116.16014313697815} | 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5681) q[8];
ry(1.5681) q[4];
ry(1.5681) q[0];
cry(-1.0342) q[6], q[7];
cry(-1.0342) q[5], q[2];
ry(1.3762) q[1];
cry(-0.5042) q[1], q[2];
ry(1.1464) q[5];
cry(-1.3967) q[5], q[3];
cry... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 0}, {"id": 1}], "edges": [{"source": 2, "target": 0}, {"source": 2, "target": 1}, {"source": 0, "target": 1}]}} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
8247951646644495363 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 11], [10, 3], [9, 3], [8, 2, 7], [4, 5], [0, 9, 5], [9, 10, 4], [0, 11, 4], [1, 3], [1, 5], [8, 10, 6], [0, 1, 10], [9, 4, 1, 7], [11, 7], [2, 11], [0, 2, 5], [0, 10, 11, 5], [2, 3], [8, 3, 4, 6], [8, 1, 9, 7], [8, 1, 11, 4], [8, 9, 1, 0], [3, 7], [9,... | {"states": [3767, 3751], "expectation_value": -3.436284683263028, "params": [2.298, 0.0035, 2.2977000000000003, 0.0008, 2.3012, 0.005200000000000001, 1.26, 0.0045000000000000005, 2.2928, 0.003, 0.9552, 0.006, 2.2969, 0.0063, 1.4924000000000002, 0.0048000000000000004, 1.4918, 0.0036000000000000003, 2.2995, 0.0022, 2.298... | 0.5 * (Z(11) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(11)) + 0.5 * (Z(5) @ Z(11)) + 0.5 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(10) @ Z(3)) + 0.16666666666666666 * (Z(10) @ Z(11)) + 0.16666666666666666 * (Z(10) @ Z(2)) + 0.08333333333333333 * (Z(10) @ Z(5)) + 0.5 * (Z(4) @ Z(3)... | 16 | 12 | 1 | {"smallest_eigenvalues": [-8.083333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.750000000000001, "smallest_bitstrings": ["000101011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(2.298) q[0];
rz(0.0035) q[0];
rx(2.2977) q[1];
rz(0.0008) q[1];
rx(2.3012) q[2];
rz(0.0052) q[2];
rx(1.26) q[3];
rz(0.0045) q[3];
rx(2.2928) q[4];
rz(0.003) q[4];
rx(0.9552) q[5];
rz(0.006) q[5];
rx(2.2969) q[6];
rz(0.0063) q[6];
rx(1.4924) q[7];
rz(0.004... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
31bcee1b066a63f64c6901bb1e1b69cb | 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": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [28, 35], "expectation_value": -0.5840998736986109, "params": [[-0.054900000000000004, -0.0426, -0.0618, -0.0734], [0.07100000000000001, 0.055400000000000005, 0.0585, 0.0669]], "bitstrings": ["100011", "011100"], "total_optimization_steps": 10, "probabilities": [0.028273234086013576, 0.029187866400318892], "... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(2) + 0.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["100011", "101010", "011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0549) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.0549) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.0549) q[4];
cx q[1], q[4];
cx q[3], q[4];
rz(-0.0549) q[4];
cx q[3], q[4];
cx q[4], q[2];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
3687685335413553432 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[5, 7], [8, 5], [1, 6], [4, 7], [8, 3], [4, 6], [1, 3], [1, 2], [2, 5], [3, 6], [0, 3], [8, 7], [2, 6], [0, 1], [3, 7], [2, 3], [0, 6]]} | {"states": [184, 327], "expectation_value": -0.03798953741607595, "params": [[0.0316], [-0.0356]], "bitstrings": ["101000111", "010111000"], "total_optimization_steps": 10, "probabilities": [0.0020329861214857603, 0.0020329861214857603], "optimization_time": 3.857663631439209} | 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["101000111", "010111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[7], q[5];
rz(0.0316) q[5];
cx q[7], q[5];
cx q[7], q[8];
rz(0.0316) q[8];
cx q[7], q[8];
cx q[5], q[8];
rz(0.0316) q[8];
cx q[5], q[8];
cx q[6], q[1];
rz(0.0316) q[1];
cx q[6], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[7], q[5];
rz(x0) q[5];
cx q[7], q[5];
cx q[7], q[8];
rz(x0) q[8];
cx q[7], q[8];
cx q[5], q[8];
rz(x0) q[8];
cx q[5], q[8];... | null | {"circuits": [], "gradients": []} |
0f1d9308b8b1d06d30bfa4de6cbc9040 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": ... | {"states": [10, 3], "expectation_value": -6.489793766128954, "params": [[0.061200000000000004, 0.046700000000000005], [-0.0658, -0.07830000000000001]], "bitstrings": ["110101", "111100"], "total_optimization_steps": 10, "probabilities": [0.03273558523716404, 0.03345632492728007], "optimization_time": 3.4525256156921387... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.25 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.... | 16 | 6 | 2 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "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(0.2754) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2754) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2754) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2754) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2754... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"k": 4} | {"circuits": [], "gradients": []} |
9c3f86affe867d86b1a933450f0ead98 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"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}, {"source": ... | {"states": [0, 1], "expectation_value": -37.84902021339052, "params": [[[-0.001, -0.4788], [0.0035, 0.4838], [0.001, -0.5179], [0.0028, 0.37220000000000003], [-0.016800000000000002, 0.3619], [0.805, 0.0036000000000000003]], [[-0.0007, 0.007], [0.0037, 0.0043], [0.001, 0.004], [0.0048000000000000004, 0.0064], [-0.0134, ... | 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... | 1 | 6 | 2 | {"smallest_eigenvalues": [-40.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.25, "smallest_bitstrings": ["111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(-0.001) q[0];
rz(-0.4788) q[0];
rx(0.0035) q[1];
rz(0.4838) q[1];
rx(0.001) q[2];
rz(-0.5179) q[2];
rx(0.0028) q[3];
rz(0.3722) q[3];
rx(-0.0168) q[4];
rz(0.3619) q[4];
rx(0.805) q[5];
rz(0.0036) q[5];
rx(-0.0007) q[0];
rz(0.007) q[0];
rx(0.0037) q[1];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
a65a8f132e9e11ca587f1073a44b14e3 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "s... | {"states": [17, 1], "expectation_value": -1.8381393251117313, "params": [[-0.0291, -0.051800000000000006, -0.0707], [-0.010400000000000001, 0.0528, 0.06520000000000001]], "bitstrings": ["111101110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0050639187745119794, 0.0056558145366157105], "optimizat... | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -1.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(6)) + -1.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(7... | 1 | 9 | 3 | {"smallest_eigenvalues": [-15.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.75, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.0437) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(0.0146) q[4];
cx q[0], q[4];
cx q[1], q[6];
rz(0.0728) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(0.0291) q[6];
cx q[0], q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
6eeafc1802cd635d6723c166bcb76122 | 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": 6}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3... | {"states": [43, 59], "expectation_value": -3.964702267258178, "params": null, "bitstrings": ["1010100", "1000100"], "total_optimization_steps": 31, "probabilities": [0.21434492943477582, 0.21434666737942695], "optimization_time": 26.18966770172119} | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -1.25 * Z(4) + -0.25 * Z(0) + 0.5 * Z(6) + 0.0 * Z(2) + 0.75 * Z(1) + -0.25 * Z(3) + 0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25, -4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.25, "smallest_bitstrings": ["1111110", "1010110", "1111100", "1010100", "1000110", "1000100"]} | 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[4];
ry(1.5486) q[1];
cry(-1.5486) q[6], q[0];
ry(1.0727) q[6];
cry(-0.5898) q[1], q[0];
cry(1.4448) q[1], q[3];
cry(0.3799) q[1], q[6];
ry(-0.1585) q[0];
cry(0.0908) q[3], q[6];
ry(0.1185) q... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5706) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
6913e77a092e6b8e92c97148a6d379f5 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [41, 21], "expectation_value": -0.4933690773990954, "params": [[-0.054700000000000006, -0.052000000000000005, -0.0205], [0.0732, 0.0651, 0.0489]], "bitstrings": ["010110", "101010"], "total_optimization_steps": 10, "probabilities": [0.021301679550654613, 0.022170187359693557], "optimization_time": 5.01895070... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -0.5 * Z(3) + 0.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["101010", "011010", "010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0547) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0547) q[2];
cx q[1], q[2];
cx q[1], q[4];
rz(-0.0547) q[4];
cx q[1], q[4];
cx q[2], q[4];
rz(-0.0547) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} |
184be31d5cef7a0df96adb60f009b8f5 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, ... | {"states": [102, 25], "expectation_value": -0.2995314664601054, "params": [[-0.0762], [0.07740000000000001]], "bitstrings": ["0011001", "1100110"], "total_optimization_steps": 10, "probabilities": [0.009155916873087044, 0.009419529822446388], "optimization_time": 1.4660978317260742} | 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(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -1.0 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.5 * Z(4) + -1.5 * Z(6) + -0.5 * Z(1) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011101", "1010101", "1011001", "1100101", "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(-0.0762) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0762) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(-0.0762) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0762) q[4];
cx q[0], q[4];
cx q[3], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3]... | null | {"circuits": [], "gradients": []} |
cf866b0685f0f2b92fc41e952765f334 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 3... | {"states": [19, 23], "expectation_value": -6.019739407722276, "params": [-1.0261, 0.1222, 0.8907, 0.0054, 0.0036000000000000003, -1.2764, 0.0006000000000000001, 0.0038, -0.9221, 0.1322, -1.6879000000000002, 0.0037, -0.0054, 1.6887, 0.0029000000000000002, 0.0081, -0.653, 1.0038, -0.6599, 0.008, 0.3793, 0.1316, 2.6045000... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + -1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(2) + 0.25... | 6 | 7 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["1100000", "1101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-1.0261) q[0];
rz(0.1222) q[0];
rx(0.0036) q[1];
rz(-1.2764) q[1];
rx(-0.9221) q[2];
rz(0.1322) q[2];
rx(-0.0054) q[3];
rz(1.6887) q[3];
rx(-0.653) q[4];
rz(1.0038) q[4];
rx(0.3793) q[5];
rz(0.1316) q[5];
rx(2.0017) q[6];
rz(0.1498) q[6];
crx(0.0502) q[6], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
2106018384834704977 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2], [8, 2, 5], [8, 1], [1, 4, 5], [2, 7], [0, 8, 2], [5, 7], [8, 0, 3], [5, 6], [1, 4, 7], [3, 4, 5], [8, 4], [2, 3], [3, 6], [8, 6, 7], [0, 1]]} | {"states": [299, 171], "expectation_value": -4.128523496472215, "params": null, "bitstrings": ["011010100", "101010100"], "total_optimization_steps": 65, "probabilities": [0.06689885473027052, 0.7804043471249548], "optimization_time": 144.08173751831055} | 0.5 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(8)) + 0.3333333333333333 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.16666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.499999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.8333333333333353, "smallest_bitstrings": ["101010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5298) q[8];
cry(-1.2288) q[2], q[1];
ry(1.3543) q[5];
cry(-1.44) q[5], q[6];
ry(1.44) q[3];
cry(-1.2365) q[5], q[4];
cry(-1.0129) q[7], q[2];
ry(1.0139) q[1];
cry(-1.28) q[1], q[0];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5298) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
3d599008e6d247101eb02503201a8a05 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [97, 357], "expectation_value": -5.891905680897106, "params": [[-0.1375, -0.029400000000000003], [0.17370000000000002, 0.1585]], "bitstrings": ["111110011110", "111010011010"], "total_optimization_steps": 20, "probabilities": [0.0015486615734980763, 0.0015486615734980763], "optimization_time": 13.60376143455... | 0.5 * (Z(5) @ Z(9)) + 2.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(5)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(10)) + -0.5 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(10)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -2.0 * (Z(3) @ Z(10)) + -0.5 * (Z(3) @ Z(6)) +... | 1 | 12 | 2 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 37, "first_excited_energy": -8.5, "sm... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[9], q[5];
rz(-0.1375) q[5];
cx q[9], q[5];
cx q[9], q[10];
rz(-0.55) q[10];
cx q[9], q[10];
cx q[5], q[10];
rz(-0.275) q[10];
cx q[5], q[10];
cx q[9], q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
6336609996167850047 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 2, 3, 4, 6, 7, 8, 9, 10], [1, 2, 4, 5, 6, 8, 10], [1, 2, 3, 4, 5, 6, 10], [0, 2, 4, 5, 6, 7, 8, 10], [1, 2, 3, 4, 5, 7, 8, 10], [3, 4, 5, 8, 9, 10], [0, 1, 2, 5, 6, 8, 9], [0, 2, 3, 5, 6, 9, 10], [0, 3, 4, 5, 6, 7, 9, 10]]} | {"states": [1941, 1973], "expectation_value": -1.397041103089688, "params": [1.7095, 0.0082, 2.8879, 0.0018000000000000002, 3.1391, 0.0077, 3.1584000000000003, 0.0026000000000000003, 0.9825, 0.0043, 1.5882, 0.0037, 3.1453, 0.0036000000000000003, 1.0039, 0.0098, 3.1584000000000003, 0.008400000000000001, 1.0328, 0.0051, ... | 0.03492063492063492 * (Z(0) @ Z(1)) + 0.1003968253968254 * (Z(3) @ Z(1)) + 0.07658730158730159 * (Z(3) @ Z(0)) + 0.05277777777777778 * (Z(4) @ Z(1)) + 0.05277777777777778 * (Z(4) @ Z(0)) + 0.07658730158730159 * (Z(4) @ Z(3)) + 0.07658730158730159 * (Z(5) @ Z(1)) + 0.046825396825396826 * (Z(5) @ Z(0)) + 0.09444444444444... | 16 | 11 | 1 | {"smallest_eigenvalues": [-1.6642857142857146], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6642857142857141, "smallest_bitstrings": ["00001001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.7095) q[0];
rz(0.0082) q[0];
rx(2.8879) q[1];
rz(0.0018) q[1];
rx(3.1391) q[2];
rz(0.0077) q[2];
rx(3.1584) q[3];
rz(0.0026) q[3];
rx(0.9825) q[4];
rz(0.0043) q[4];
rx(1.5882) q[5];
rz(0.0037) q[5];
rx(3.1453) q[6];
rz(0.0036) q[6];
rx(1.0039) 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": []} |
267f594e5cb21532a1a860c7d4e0717d | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [27, 53], "expectation_value": -0.9883107234794155, "params": [[0.0757, 0.0758, 0.08020000000000001], [-0.0711, -0.0724, -0.0784]], "bitstrings": ["1100100", "1001010"], "total_optimization_steps": 10, "probabilities": [0.01616139225819397, 0.017131605030438], "optimization_time": 4.243215560913086} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.5 * Z(0) + 0.0 * Z(2) + -1.0 * Z(4) + 0.0 * Z(6) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100100", "1001010"]} | 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(0.0757) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0757) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(0.0757) q[4];
cx q[0], q[4];
cx q[0], q[6];
rz(0.0757) q[6];
cx q[0], q[6];
cx q[1], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": []} |
c5211bad50b928e7b2cd71a45947d261 | 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": 8, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 20, "source": 1, "target": 6}, {"weight": 6, "source": 2, "targ... | {"states": [222, 220], "expectation_value": -4.350692633794465, "params": [[-0.029500000000000002], [0.0216]], "bitstrings": ["100100001", "100100011"], "total_optimization_steps": 10, "probabilities": [0.0023771121005388834, 0.0024917011149357578], "optimization_time": 2.2030863761901855} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(6)) + 4.5 * (Z(4) @ Z(6)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-96.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.2655) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2655) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2655) q[2];
cx q[0], q[2];
cx q[6], q[3];
rz(-0.2655) q[3];
cx q[6], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[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[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
f8645113517905e1df1749520352d679 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 4}, {"weight": 7, "source": 2, "tar... | {"states": [351, 220], "expectation_value": -33.770427835155814, "params": null, "bitstrings": ["010100000", "100100011"], "total_optimization_steps": 100, "probabilities": [0.0903789040445417, 0.3121445371268592], "optimization_time": 165.46913623809814} | 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 | 2 | {"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];
ry(7.7632) q[5];
ry(-0.0267) q[4];
cry(0.4218) q[5], q[4];
ry(0.383) q[6];
ry(0.383) q[2];
cry(-1.118) q[5], q[6];
cry(-1.118) q[5], q[2];
ry(4.0096) q[7];
ry(2.1271) q[0];
cry(-4.0386) q[... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(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] = m... |
92e0d9744e7b0376f2c61fec7a621b77 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [88, 105], "expectation_value": -0.08859787839710258, "params": [[-0.0844], [0.077]], "bitstrings": ["0100111", "0010110"], "total_optimization_steps": 10, "probabilities": [0.008730865362769756, 0.009151973706365037], "optimization_time": 2.1084210872650146} | 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(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0) @ Z(3)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(1) @ Z(4)) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["0010110"]} | 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(-0.0422) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0422) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0422) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0422) q[0];
cx q[1], q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[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[2], q[0];
rz(x0) q[0];
cx q[2], q[0]... | null | {"circuits": [], "gradients": []} |
26d7f56e59bfdf48052023802b40605b | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [9, 5], "expectation_value": -0.01586111485464643, "params": [[0.0414], [-0.0335]], "bitstrings": ["10110", "11010"], "total_optimization_steps": 10, "probabilities": [0.031857994242122524, 0.031857994242122545], "optimization_time": 1.4195189476013184} | 0.5 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(0) @ Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -0.75 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.75 * Z(3) + 0.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["11010", "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[2], q[1];
rz(0.0414) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0207) q[0];
cx q[1], q[0];
cx q[4], q[0];
rz(0.0207) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(0.0207) q[1];
cx q[4], q[1];
cx q[4], q[1];
cx q[1], q[0];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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[1], q[0];
rz(x1) q[0];
cx q[1], q[0];
cx q[4], q[0];... | null | {"circuits": [], "gradients": []} |
534a2afed02f04b79d33a0d59bb0fb50 | 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": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"sour... | {"states": [210, 211], "expectation_value": -4.540616123880812, "params": [[[-0.0022, 0.5472, 0.0068000000000000005, 0.0083], [0.0114, 0.0925, 0.013900000000000001, 0.0039000000000000003], [0.9855, 0.0037, 0.0097, 0.0044], [0.0026000000000000003, -0.5708, 0.0024000000000000002, 0.0002], [1.0073, 0.005, 0.0074, 0.0027],... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.0 * Z(7) + -0.5 * Z(1) + -1.5 * Z(6) + 0.0 * Z(2) + 0.0 * Z(8) + -1.0... | 12 | 9 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["100101100", "000101110", "000110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0022) q[0];
rz(0.5472) q[0];
ry(0.0114) q[1];
rz(0.0925) q[1];
ry(0.9855) q[2];
rz(0.0037) q[2];
ry(0.0026) q[3];
rz(-0.5708) q[3];
ry(1.0073) q[4];
rz(0.005) q[4];
ry(-0.0007) q[5];
rz(0.0607) q[5];
ry(-0.003) q[6];
rz(-0.5078) q[6];
ry(0.0852) 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": []} |
a95dd18a873671a30a757f426a8fa77a | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 1, "target": 8}, {"weight": 17, "source": 1, "target": 5}, {"weight": 4, "source... | {"states": [410, 218], "expectation_value": -8.158605853566325, "params": [[-0.053200000000000004], [0.07300000000000001]], "bitstrings": ["001100101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.0044241739579024405, 0.005069065046977485], "optimization_time": 1.812147617340088} | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 7.5 * Z(2) + 1.5 * Z(0) + 18.5 * Z(1) + 5.5 * Z(4) + 2.0 * Z(3) + 9.5 * Z(5) +... | 1 | 9 | 1 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.532) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.532) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.532) q[1];
cx q[0], q[1];
cx q[4], q[3];
rz(-0.532) q[3];
cx q[4], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[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[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
cde6b48ed870286595c1455af7aff8bd | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}, {"source": 2, "target": 3}]} | {"states": [2909, 2910], "expectation_value": -6.249735496837667, "params": null, "bitstrings": ["010010100010", "010010100001"], "total_optimization_steps": 100, "probabilities": [0.05709175034322553, 0.8163099224805773], "optimization_time": 268.2699954509735} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 2 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["100100010100", "100100010001", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
ry(1.5706) q[8];
ry(1.5486) q[7];
ry(1.5486) q[9];
ry(1.5486) q[3];
ry(1.5486) q[0];
cry(-1.4447) q[7], q[6];
cry(-1.0341) q[10], q[11];
cry(-1.034) q[5], q[4];... | null | {"number_of_colors": 3} | {"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(1.5706) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\... |
ab05d106c82b2c06d5e9031643e50140 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 9}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target":... | {"states": [1024, 1023], "expectation_value": -14.28212829796908, "params": [[[0.007, 0.22560000000000002], [0.0108, -0.0034000000000000002], [0.008, 0.0024000000000000002], [0.0033, 0.0027], [0.0076, 0.0027], [0.0073, 0.0028], [0.0023, 0.0025], [0.0027, 0.0026000000000000003], [0.0019, -0.0015], [-0.2015, -1.0888], [0... | -0.25 * (Z(0) @ Z(10)) + -0.75 * (Z(1) @ Z(4)) + -0.5 * (Z(9) @ Z(10)) + -0.25 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(1)) + -0.75 * (Z(2) @ Z(10)) + 0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(8) @ Z(10)) + -0.75 * (Z(8) @ Z(4)) + -0.25 * (Z(8) @ Z(9)) + -1.5 * (Z... | 15 | 11 | 4 | {"smallest_eigenvalues": [-14.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.75, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.007) q[0];
ry(0.0108) q[1];
ry(0.008) q[2];
ry(0.0033) q[3];
ry(0.0076) q[4];
ry(0.0073) q[5];
ry(0.0023) q[6];
ry(0.0027) q[7];
ry(0.0019) q[8];
ry(-0.2015) q[9];
ry(0.012) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], 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": 10} | {"circuits": [], "gradients": []} |
d1602a48db0b9ddd29f550e6862bbc0a | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [229, 117], "expectation_value": -22.961164399235628, "params": [[0.0332, -0.0154, 0.0123], [-0.0714, -0.037200000000000004, -0.055200000000000006]], "bitstrings": ["00011010", "10001010"], "total_optimization_steps": 10, "probabilities": [0.011572663431469302, 0.011839623166359416], "optimization_time": 5.8... | 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 9.5 * Z(0) + 22.5 * Z(3) + 15.0 * ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-68.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[3];
rz(0.2988) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(0.2988) q[1];
cx q[0], q[1];
cx q[3], q[1];
rz(0.2988) q[1];
cx q[3], q[1];
cx q[0], q[2];
rz(0.2988) q[2];
cx q[0], q[2];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
d2ab62c933304b5c3d761f042e65d199 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capaci... | {"states": [5741, 1613], "expectation_value": -5.0559540134891865, "params": [[-0.2833], [0.3124]], "bitstrings": ["0100110010010", "1100110110010"], "total_optimization_steps": 40, "probabilities": [0.0012700592348119067, 0.0013183699710739433], "optimization_time": 7.2474071979522705} | 1.0 * (Z(9) @ Z(10)) + 0.5 * (Z(11) @ Z(10)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(0) @ Z(11)) + -0.5 * (Z(6) @ Z(10)) + -0.5 * (Z(6) @ Z(9)) + -1.0 * (Z(6) @ Z(11)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(11)) + -0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(8) @ Z(11)) + -0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6... | 1 | 13 | 1 | {"smallest_eigenvalues": [-8.833333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.666666666666666, "smallest_bitstrings": ["1100110110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
cx q[10], q[9];
rz(-0.5666) q[9];
cx q[10], q[9];
cx q[10], q[11];
rz(-0.2833) q[11];
cx q[10], q[11];
cx q[9], q[11];
rz(-0.2833) q[11];
cx q[9], q[11... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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[13] c;
qubit[13... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
05514a606dbec7e55e2ac5ce12f9f75b | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [31, 255], "expectation_value": -14.278238916104959, "params": null, "bitstrings": ["1111100000", "1100000000"], "total_optimization_steps": 100, "probabilities": [0.09541458626984158, 0.4411255446896512], "optimization_time": 252.02491283416748} | 0.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + -2.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + -2.5 * (Z(8) @ Z(5)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(9) @ Z(6)) + -2.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + -1.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["1100000000"]} | 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];
cry(1.5708) q[9], q[5];
cry(1.5708) q[5], q[6];
cry(1.2002) q[6], q[9];
cry(-0.1908) q[6], q[5];
ry(-0.4301) q[5];
cry(1.0694) q[8], q[5];
cry(1.5708) q[5], q[7];
cry(1.2948) q[9... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[9], 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] = measu... |
15665b6f17e50a473c9dc7122f285f9f | 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": 1, "target": 4}, {"source": 1, "target": 6}, {"sour... | {"states": [323, 331], "expectation_value": -5.403392185984042, "params": [0.49110000000000004, 0.4963, 0.0086, 0.0017000000000000001, 0.509, 0.508, 0.2883, 0.2903, 0.3018, 0.2998, 0.4333, 0.44580000000000003, -0.0058000000000000005, -0.0028, 0.5071, 0.5047, 0.4988, 0.5012, 0.4529, 0.458, -0.0014, -0.012400000000000001... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -2.5 * Z(1) + -0.5 * Z(0) + -0.5 *... | 14 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.0, "smallest_bitstrings": ["110100100", "010110100", "010011100", "110001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.4911) q[0];
ry(0.0086) q[1];
ry(0.509) q[2];
ry(0.2883) q[3];
ry(0.3018) q[4];
ry(0.4333) q[5];
ry(-0.0058) q[6];
ry(0.5071) q[7];
ry(0.4988) q[8];
crx(0.3552) q[8], q[0];
crx(0.4942) q[7], q[8];
crx(0.1009) q[6], q[7];
crx(0.0127) q[5], q[6];
crx(0.4928)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
a6b81bd94db1dc24b1e0e42e6a7091b4 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 16, "source": 1, "target": 4}, {"weight": 9, "source": 2, "tar... | {"states": [238, 218], "expectation_value": -51.53494955352913, "params": null, "bitstrings": ["100010001", "100100101"], "total_optimization_steps": 100, "probabilities": [0.0851302070259091, 0.30834026822324095], "optimization_time": 191.8008518218994} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 13.0 * Z(1) + 5.0 * Z(0) + 12.5 * ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(8.8595) q[7];
ry(-22.6958) q[4];
ry(16.5454) q[5];
cry(-13.4254) q[4], q[7];
ry(25.2114) q[1];
cry(-49.5291) q[7], q[4];
cry(22.0427) q[7], q[1];
ry(2.3922) q[2];
cry(-24.3529) q[2], q[... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(8.8595) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
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": -2.052496359544096, "params": [[0.054700000000000006, 0.053500000000000006, 0.07100000000000001, 0.078], [-0.0524, -0.0253, -0.049600000000000005, -0.060700000000000004]], "bitstrings": ["100001010", "100010001"], "total_optimization_steps": 10, "probabilities": [0.0054086956... | 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 | 4 | {"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(0.0547) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0547) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.0547) q[1];
cx q[0], q[1];
cx q[0], q[3];
rz(0.0547) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 2, "target": 1}]}} | {"circuits": [], "gradients": []} |
-2619258521276168165 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 6], [1, 2, 3, 4, 6], [0, 1, 4, 7], [0, 2, 4, 6], [0, 1, 4, 5, 6], [0, 1, 2, 5, 6], [1, 2, 3, 4, 5], [0, 1, 2, 3, 5]]} | {"states": [232, 248], "expectation_value": -1.6990920455516294, "params": null, "bitstrings": ["00010111", "00000111"], "total_optimization_steps": 40, "probabilities": [0.1282067526981788, 0.7536049128284077], "optimization_time": 66.25249004364014} | 0.26666666666666666 * (Z(0) @ Z(2)) + 0.23333333333333334 * (Z(3) @ Z(2)) + 0.13333333333333333 * (Z(3) @ Z(0)) + 0.26666666666666666 * (Z(6) @ Z(2)) + 0.26666666666666666 * (Z(6) @ Z(0)) + 0.13333333333333333 * (Z(6) @ Z(3)) + 0.2 * (Z(1) @ Z(2)) + 0.23333333333333334 * (Z(1) @ Z(0)) + 0.15000000000000002 * (Z(1) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.7500000000000004, -1.7500000000000004, -1.7500000000000004], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.75, "smallest_bitstrings": ["01100000", "00100101", "00000111"]} | 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(1.5321) q[0];
ry(1.3268) q[1];
ry(0.8436) q[2];
cry(-0.581) q[4], q[6];
cry(0.5394) q[0], q[2];
cry(-0.4666) q[3], q[6];
cry(-0.2859) q[5], q[6];
cry(0.1899) q[0], q[1];
cry(-0.3078) q[4], q[7]... | 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(1.5321) 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[... |
-4443371172376578340 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4], [2, 5], [2, 3], [3, 6], [3, 5], [1, 3], [4, 6], [3, 4], [0, 3], [1, 7], [4, 5], [6, 7], [2, 7], [4, 7], [5, 7], [1, 2], [3, 7]]} | {"states": [49, 206], "expectation_value": -0.05053078723716984, "params": [[0.0425], [-0.0354]], "bitstrings": ["11001110", "00110001"], "total_optimization_steps": 10, "probabilities": [0.004072333947254789, 0.004072333947254789], "optimization_time": 0.711540937423706} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["11100110", "11001110", "00011001", "00110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[2];
rz(0.0425) q[2];
cx q[4], q[2];
cx q[4], q[5];
rz(0.0425) q[5];
cx q[4], q[5];
cx q[2], q[5];
rz(0.0425) q[5];
cx q[2], q[5];
cx q[4], q[3];
rz(0.0425) q[3];
cx q[4], q[3];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[5];
rz(x0) q[5];
cx q[4], q[5];
cx q[2], q[5];
rz(x0) q[5];
cx q[2], q[5];
cx q[4]... | null | {"circuits": [], "gradients": []} |
d007b9bb335ee1d3375786aee1b81f34 | 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": [5458, 4434], "expectation_value": -133.3752130135871, "params": [[0.5028, 0.0064, 0.2636, 0.0022, 0.4999, 0.0882, 0.5021, 0.046700000000000005, 0.5045000000000001, -0.002, -0.0098, 0.5046, 0.0329], [0.49860000000000004, 0.025500000000000002, 0.2596, -0.0017000000000000001, 0.5053, 0.0844, 0.4989, 0.0391, 0.... | 8.5 * (Z(1) @ Z(0)) + 8.5 * (Z(4) @ Z(3)) + 8.5 * (Z(2) @ Z(6)) + 8.5 * (Z(5) @ Z(0)) + 8.5 * (Z(5) @ Z(6)) + 8.5 * (Z(8) @ Z(6)) + 8.5 * (Z(8) @ Z(2)) + 8.5 * (Z(7) @ Z(8)) + 8.5 * (Z(10) @ Z(4)) + 8.5 * (Z(11) @ Z(7)) + 8.5 * (Z(12) @ Z(11)) + 9.5 * Z(0) + -5.0 * Z(1) + -8.0 * Z(3) + 9.5 * Z(4) + 17.0 * Z(6) + 1.0 * ... | 10 | 13 | 4 | {"smallest_eigenvalues": [-172.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -148.0, "smallest_bitstrings": ["0111010101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.5028) q[0];
ry(0.0064) q[1];
ry(0.2636) q[2];
ry(0.0022) q[3];
ry(0.4999) q[4];
ry(0.0882) q[5];
ry(0.5021) q[6];
ry(0.0467) q[7];
ry(0.5045) q[8];
ry(-0.002) q[9];
ry(-0.0098) q[10];
ry(0.5046) q[11];
ry(0.0329) q[12];
cz q[12], q[11];
cz q[11], q[10];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} |
706645401eafdb077381e4030b4342f0 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [200, 201], "expectation_value": -5.189482799108613, "params": [0.3935, 0.0018000000000000002, 0.4066, 0.0001, -0.0015, 0.1769, 0.1058, 0.050300000000000004, 0.4071, -0.0021000000000000003, 0.0702, 0.19540000000000002, -0.0026000000000000003, 0.19440000000000002, 0.40280000000000005, 0.0018000000000000002, 0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(2) ... | 4 | 8 | 4 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["00110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3935) q[0];
rz(0.0018) q[0];
rx(0.4066) q[1];
rz(0.0001) q[1];
rx(-0.0015) q[2];
rz(0.1769) q[2];
rx(0.1058) q[3];
rz(0.0503) q[3];
rx(0.4071) q[4];
rz(-0.0021) q[4];
rx(0.0702) q[5];
rz(0.1954) q[5];
rx(-0.0026) q[6];
rz(0.1944) q[6];
rx(0.4028) 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": []} |
e104f31aaff273b4fa5fa538ba3fde4a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [65, 1], "expectation_value": -1.4570025170384313, "params": [[0.0799, 0.08020000000000001], [-0.08320000000000001, -0.08320000000000001]], "bitstrings": ["110111110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.004792242012566111, 0.005312064399308596], "optimization_time": 8.775405406... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(2) @ Z(6)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(5)) + 1.75 * (Z(8) @ Z(0... | 1 | 9 | 2 | {"smallest_eigenvalues": [-9.5, -9.5, -9.5, -9.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.5, "smallest_bitstrings": ["111101110", "111111110", "110111110", "110101110"]} | 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(-0.0799) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.0799) q[3];
cx q[0], q[3];
cx q[1], q[6];
rz(-0.0799) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(-0.0799) q[6];
cx q[0], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
f7c0ee1d4c77af9b2736662ef168c92d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [0, 24], "expectation_value": -11.507518153936605, "params": [-0.2873, 0.37970000000000004, -0.30970000000000003, 0.6825, -0.2559, 0.5890000000000001, -0.2838, 0.552, -0.08660000000000001, 0.45430000000000004, -0.0264, 0.4486, -0.0201, 0.4471, -0.0201, 0.4506, -0.0352, 0.4217, -0.0221, 0.45370000000000005, -... | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.5 * Z(3) + -1.5 * Z(2) + -1.5 * Z(4) | 6 | 5 | 4 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["00111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(-0.2873) q[0];
rz(0.3797) q[0];
rx(-0.2559) q[1];
rz(0.589) q[1];
rx(-0.0866) q[2];
rz(0.4543) q[2];
rx(-0.0201) q[3];
rz(0.4471) q[3];
rx(-0.0352) q[4];
rz(0.4217) q[4];
crx(-0.0629) q[4], q[3];
crx(-0.0375) q[4], q[2];
crx(0.1013) q[4], q[1];
crx(-0.5721)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 4} | {"circuits": [], "gradients": []} |
a2b703670d19247f6071de624d813f7d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [987, 986], "expectation_value": -2.108849267083074, "params": [0.38630000000000003, 0.4323, 1.2065000000000001, 0.2028, 0.9298000000000001, 0.3758, 1.1984000000000001, -0.008400000000000001, 1.0026000000000002, 0.041600000000000005, 0.0026000000000000003, -0.8317, 1.1987, -0.0033, 1.2001000000000002, 0.0174... | 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)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(1) @ Z(7)) + 0.0625 * (Z(5) @ Z(1)) + 0.0625 * (Z(3) @ Z(6... | 16 | 11 | 2 | {"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], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.6875, "smallest_bitstrings": ["10000100011", "00110100100", "10000100110", "10000100101", "10000101100", "10000110010", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.3863) q[0];
rz(0.4323) q[0];
rx(1.2065) q[1];
rz(0.2028) q[1];
rx(0.9298) q[2];
rz(0.3758) q[2];
rx(1.1984) q[3];
rz(-0.0084) q[3];
rx(1.0026) q[4];
rz(0.0416) q[4];
rx(0.0026) q[5];
rz(-0.8317) q[5];
rx(1.1987) q[6];
rz(-0.0033) q[6];
rx(1.2001) 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": []} |
a3571c19d72a014065614d323aff3379 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [14, 30], "expectation_value": -2.0596938160692195, "params": [-0.011300000000000001, 0.4375, -0.016, 0.0041, 0.8049000000000001, 0.23340000000000002, 0.8046000000000001, 0.0012000000000000001, 0.8119000000000001, 0.17880000000000001, 0.8077000000000001, 0.0034000000000000002, 0.8093, 0.2338, 0.805, 0.004, 0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(3) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) | 5 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(-0.0113) q[0];
rz(0.4375) q[0];
rx(0.8049) q[1];
rz(0.2334) q[1];
rx(0.8119) q[2];
rz(0.1788) q[2];
rx(0.8093) q[3];
rz(0.2338) q[3];
rx(0.8044) q[4];
rz(0.2131) q[4];
rx(0.1819) q[5];
rz(0.4237) q[5];
crz(0.0061) q[5], q[4];
crz(-0.0356) q[5], q[3];
crz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
2809de50863d7f4d6a71c10545631db1 | 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": [646, 647], "expectation_value": -38.8215459744365, "params": [[[0.7992, 0.7934], [0.384, 0.5855], [0.8026000000000001, 0.7999], [-0.0936, 0.7997000000000001], [-0.0796, 0.3453], [0.183, 0.381], [-0.5216000000000001, 0.8015], [0.5905, 0.7999], [0.7978000000000001, 0.7878000000000001], [0.8021, 0.7943]], [[-0... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(9) @ Z(1)) + 6.5 * (Z(9) @ Z(7)) + 6.5 * (Z(9) @ Z(8)) + 13.5 * Z(0) + 17.5 * Z(1) + 15.0 * Z(2) + -5.5 * Z(3) + ... | 15 | 10 | 2 | {"smallest_eigenvalues": [-108.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -102.0, "smallest_bitstrings": ["0101111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.7992) q[0];
ry(0.384) q[1];
ry(0.8026) q[2];
ry(-0.0936) q[3];
ry(-0.0796) q[4];
ry(0.183) q[5];
ry(-0.5216) q[6];
ry(0.5905) q[7];
ry(0.7978) q[8];
ry(0.8021) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
cf9a1540b011355d554ff1ed574e9153 | 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": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 15, "source": 0, "target": 5}, {"weight": 13, "source": 1, "target": 5}, {... | {"states": [191, 118], "expectation_value": -43.70097506271805, "params": null, "bitstrings": ["01000000", "10001001"], "total_optimization_steps": 100, "probabilities": [0.08243875724131994, 0.31412767660306534], "optimization_time": 161.94744396209717} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 19.5 * Z(1) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
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(9.9081) q[1];
ry(-2.3419) q[5];
ry(-5.0407) q[6];
ry(-0.8504) q[2];
cry(4.7697) q[6], q[1];
ry(24.6247) q[7];
ry(26.1061) q[3];
cry(-14.5576) q[3], q[1];
cry(-9.982) q[6], q[7];
cry(-15.5863) q... | 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(9.9081) 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[... |
-2286651177694543539 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4, 5], [0, 6], [1, 3, 5], [0, 2, 5], [3, 4, 6], [0, 1, 2, 4], [1, 3, 4], [2, 4, 6], [2, 3]]} | {"states": [110, 78], "expectation_value": -1.7643701871743733, "params": [1.0978, -0.0148, 1.0919, 0.0027, 1.0475, 0.0546, 0.8769, 0.0039000000000000003, 1.0273, 0.013000000000000001, 0.7616, 0.0037, 1.1064, -0.011000000000000001, 1.1032, 0.0047, 1.1043, -0.0162, 1.1016000000000001, 0.007200000000000001, 1.1019, -0.01... | 0.41666666666666663 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(4))... | 6 | 7 | 1 | {"smallest_eigenvalues": [-2.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.583333333333333, "smallest_bitstrings": ["0110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.0978) q[0];
rz(-0.0148) q[0];
rx(1.0475) q[1];
rz(0.0546) q[1];
rx(1.0273) q[2];
rz(0.013) q[2];
rx(1.1064) q[3];
rz(-0.011) q[3];
rx(1.1043) q[4];
rz(-0.0162) q[4];
rx(1.1019) q[5];
rz(-0.0135) q[5];
rx(1.0954) q[6];
rz(-0.009) q[6];
crx(0.2003) q[6], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
db350f4c6cc12fe7a27604bdeac9089b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 1, ... | {"states": [3, 1], "expectation_value": -2.2705251136664635, "params": [[0.0745, 0.0659, 0.0784], [-0.0829, -0.060500000000000005, -0.0703]], "bitstrings": ["11111100", "11111110"], "total_optimization_steps": 10, "probabilities": [0.014140114081023867, 0.015775059968616813], "optimization_time": 4.717423439025879} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(3) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + 1.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + -1.75 * Z(1)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-11.0, -11.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["11111110", "11111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.0372) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.149) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0372) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.1117) q[3];
cx q[0], 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
b93e7e87e2621c92c7ba04b041c49bf3 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [18, 41], "expectation_value": -0.1533262507453322, "params": [[-0.067], [0.06910000000000001]], "bitstrings": ["101101", "010110"], "total_optimization_steps": 10, "probabilities": [0.01709250870837636, 0.017677536220816498], "optimization_time": 1.1169707775115967} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + -1.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(-0.067) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(-0.067) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(-0.067) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.067) q[2];
cx q[3], q[2];
cx q[4], q[2];
rz(-0.067... | 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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx ... | null | {"circuits": [], "gradients": []} |
fdd193cb015e57ef85d2ae5c4eb54ede | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [3019, 3035], "expectation_value": -3.2473258910150946, "params": [0.0025, 0.006500000000000001, 0.5198, 0.5265000000000001, -0.0022, 0.0058000000000000005, 0.5273, 0.5224, 0.5369, 0.5282, 0.5219, 0.5189, 0.5277000000000001, 0.5193, 0.003, -0.0026000000000000003, 0.3005, 0.2968, 0.5531, 0.5483, 0.0426, 0.046... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 13 | 13 | 3 | {"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;
ry(0.0025) q[0];
ry(0.5198) q[1];
ry(-0.0022) q[2];
ry(0.5273) q[3];
ry(0.5369) q[4];
ry(0.5219) q[5];
ry(0.5277) q[6];
ry(0.003) q[7];
ry(0.3005) q[8];
ry(0.5531) q[9];
ry(0.0426) q[10];
ry(0.5261) q[11];
ry(0.5207) q[12];
crz(-0.1078) q[12], q[0];
crz(-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": []} |
62cf0b1aa2f21b710dc273bc2e7c1873 | min_cut | 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": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [0, 29], "expectation_value": -6.268911715969399, "params": [[[-0.0738, 0.0015, 0.0006000000000000001, 0.0027], [0.0037, 0.1555, 0.0021000000000000003, 0.8468], [0.0024000000000000002, 1.1791, 0.0024000000000000002, 0.1381], [-0.0029000000000000002, 0.0551, -0.0025, 0.39730000000000004], [0.00390000000000000... | -0.5 * (Z(0) @ Z(4)) + 0.75 * (Z(5) @ Z(0)) + -1.5 * (Z(1) @ Z(5)) + -2.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * Z(4) + -0.25 * Z(0) + -1.25 * Z(5) + 0.25 * Z(1) + 1.25 * Z(2) + 1.75 * Z(3) | 11 | 6 | 2 | {"smallest_eigenvalues": [-6.75, -6.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.75, "smallest_bitstrings": ["100000", "100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(-0.0738) q[0];
rz(0.0015) q[0];
ry(0.0037) q[1];
rz(0.1555) q[1];
ry(0.0024) q[2];
rz(1.1791) q[2];
ry(-0.0029) q[3];
rz(0.0551) q[3];
ry(0.0039) q[4];
rz(-0.1729) q[4];
ry(1.609) q[5];
rz(0.9025) q[5];
cx q[1], q[0];
cx q[3], q[2];
cx q[5], q[4];
ry(0.0021... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
-6371410746826064141 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 1], [1, 2, 4], [2, 3]]} | {"states": [11, 21], "expectation_value": -0.31227652342047185, "params": [[0.2803], [-0.2846]], "bitstrings": ["10100", "01010"], "total_optimization_steps": 30, "probabilities": [0.054571398125650074, 0.054571398125650074], "optimization_time": 0.6631996631622314} | 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666663 * Z(1) + 0.0 * Z(0) + 0.16666666666666663 * Z(2) + 0.16666666666666666 * Z(4) + 0.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.3333333333333333, -1.3333333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.3333333333333328, "smallest_bitstrings": ["01010", "10100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.2803) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0934) q[2];
cx q[1], q[2];
cx q[1], q[4];
rz(0.0934) q[4];
cx q[1], q[4];
cx q[2], q[4];
rz(0.0934) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(0.2803) 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[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];
cx q[1], q[4];
rz(x1) q[4];
cx q[1], q[4];
cx q[2], q[... | null | {"circuits": [], "gradients": []} |
20a60ed013bc1976376f734be7d8d92c | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [89, 90], "expectation_value": -0.7125132409512207, "params": null, "bitstrings": ["10100110", "10100101"], "total_optimization_steps": 59, "probabilities": [0.04611812023701407, 0.36452010667400087], "optimization_time": 68.81702089309692} | 0.25 * (Z(0) @ Z(1)) + -0.0015625 * (Z(2) @ Z(0)) + -0.0015625 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0015625 * (Z(4) @ Z(0)) + -0.0015625 * (Z(4) @ Z(2)) + 0.0015625 * (Z(5) @ Z(1)) + -0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0015625 * (Z(6) @ Z(0)) + 0.0015625 * (Z(6) @ Z(2)) + -0.0015625 * (Z(6) @ Z... | 5 | 8 | 1 | {"smallest_eigenvalues": [-1.00625, -1.00625, -1.00625, -1.00625, -1.00625, -1.00625], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["10100101", "01011010", "10010110", "01101001", "10101010", "01010101"]} | 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(-0.5959) q[6], q[7];
cry(-0.5969) q[4], q[5];
cry(-0.5959) q[3], q[2];
cry(-0.5969) q[1], q[0];
cry(-0.3766) q[7], q[6];
ry(0.3575) q[6];
cry(-0.3766) q[2], q[3];
ry(0.3575) q[3];
cry(-0.3759)... | null | {"communities_size": 2, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-0.5959) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
5144181ac27497fdfa9bdb5b8b799630 | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]} | {"states": [235, 427], "expectation_value": -6.516720859775182, "params": null, "bitstrings": ["100010100", "001010100"], "total_optimization_steps": 71, "probabilities": [0.10732474291520576, 0.8012628927503078], "optimization_time": 149.1959342956543} | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.25 * (Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["001010100", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5706) q[8];
ry(1.5706) q[1];
cry(1.5681) q[1], q[3];
cry(-1.0342) q[7], q[4];
cry(1.4138) q[1], q[5];
cry(1.067) q[8], q[7];
cry(-0.9143) q[5], q[4];
cry(-1.416) q[0], q[2];
cry(-1.38... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 0}], "edges": [{"source": 2, "target": 1}, {"source": 1, "target": 0}]}} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5706) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
8f21ecaec272429f1bdc72f298b44a30 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 6, "source": 1, "target": 3}, {"capacity": 5, "so... | {"states": [1, 15], "expectation_value": -5.973429164810103, "params": null, "bitstrings": ["11110", "10000"], "total_optimization_steps": 38, "probabilities": [0.08996421767388751, 0.6443062405164904], "optimization_time": 26.125636100769043} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + 1.75 * (Z(4) @ Z(0)) + -1.75 * (Z(4) @ Z(3)) + -2.75 * (Z(2) @ Z(3)) + 1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.0 * Z(4) + -0.25 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cry(1.5708) q[3], q[1];
cry(1.5706) q[3], q[2];
cry(0.9505) q[2], q[3];
cry(1.5701) q[3], q[4];
cry(-1.5651) q[4], q[0];
ry(-0.3015) q[2];
cry(0.4049) q[2], q[1];
cry(0.2513) q[1], q[2];
cry(-0.1436) q[4], q[2];
cry(-0.5... | null | {"source": 0, "sink": 4} | {"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(1.5708) q[3], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqu... |
589a81c8fd04d28f25b3e8e25563f55c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 3, "source": 3, ... | {"states": [128, 127], "expectation_value": -0.27493312640595136, "params": [[0.0776], [-0.0801]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004799604938272881, 0.004913773963022553], "optimization_time": 1.8707821369171143} | 0.25 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * Z(7) + -0.25 * Z(0) + 0.0 * Z(4) + -0.25 * Z(1) + 1.25 * Z(3) + -1.25 * Z(2) + -0.5 * Z(6) + 1.25 * Z(5) | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(0.0388) q[0];
cx q[7], q[0];
cx q[4], q[1];
rz(-0.0776) q[1];
cx q[4], q[1];
cx q[1], q[3];
rz(-0.1164) q[3];
cx q[1], q[3];
cx q[3], q[2];
rz(-0.1552) q[2];
cx q[3], q[2];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
r... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
6102664568185508627 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 3, 4, 8], [3, 4, 5, 7, 10], [0, 1, 3, 4, 5, 6, 8, 10], [1, 9], [1, 3, 4, 6, 7]]} | {"states": [1889, 1905], "expectation_value": -1.0963657209656303, "params": [1.3429, 0.0032, 1.3427, 0.0078000000000000005, 1.5021, -0.0015, 1.4927000000000001, 0.006200000000000001, 1.3855000000000002, -0.2088, 1.3869, 0.0051, 0.7121000000000001, -0.3981, 0.7114, 0.0044, 1.3554000000000002, 0.046200000000000005, 1.35... | 0.05 * (Z(0) @ Z(2)) + 0.05 * (Z(3) @ Z(2)) + 0.06785714285714287 * (Z(3) @ Z(0)) + 0.05 * (Z(4) @ Z(2)) + 0.06785714285714287 * (Z(4) @ Z(0)) + 0.16785714285714287 * (Z(4) @ Z(3)) + 0.05 * (Z(8) @ Z(2)) + 0.06785714285714287 * (Z(8) @ Z(0)) + 0.06785714285714287 * (Z(8) @ Z(3)) + 0.06785714285714287 * (Z(8) @ Z(4)) + ... | 7 | 11 | 1 | {"smallest_eigenvalues": [-1.2785714285714287, -1.2785714285714287, -1.2785714285714287, -1.2785714285714287, -1.2785714285714287, -1.2785714285714287, -1.2785714285714287, -1.2785714285714287, -1.2785714285714287, -1.2785714285714287, -1.2785714285714287, -1.2785714285714287, -1.2785714285714287, -1.2785714285714287, ... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.3429) q[0];
rz(0.0032) q[0];
rx(1.5021) q[1];
rz(-0.0015) q[1];
rx(1.3855) q[2];
rz(-0.2088) q[2];
rx(0.7121) q[3];
rz(-0.3981) q[3];
rx(1.3554) q[4];
rz(0.0462) q[4];
rx(1.3664) q[5];
rz(-0.2233) q[5];
rx(0.8924) q[6];
rz(0.4186) q[6];
rx(0.7024) 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": []} |
d8c959a00da600e8fbae4f9fb196848f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [338, 342], "expectation_value": -1.115618660366588, "params": [[[0.4037, 0.0051], [0.3164, -0.048], [0.40180000000000005, 0.0027], [0.30110000000000003, -0.057800000000000004], [0.404, 0.0032], [0.17880000000000001, 0.1087], [0.39730000000000004, 0.0021000000000000003], [0.4015, 0.0021000000000000003], [0.0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (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(1) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0.06... | 1 | 9 | 4 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.5625, "smallest_bitstrings": ["110001001", "001101001", "010101001", "100101001", "010011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.4037) q[0];
rz(0.0051) q[0];
rx(0.3164) q[1];
rz(-0.048) q[1];
rx(0.4018) q[2];
rz(0.0027) q[2];
rx(0.3011) q[3];
rz(-0.0578) q[3];
rx(0.404) q[4];
rz(0.0032) q[4];
rx(0.1788) q[5];
rz(0.1087) q[5];
rx(0.3973) q[6];
rz(0.0021) q[6];
rx(0.4015) 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": []} |
2980076936474430414 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 5], [1, 7], [2, 3, 5, 6, 7], [4, 7], [2, 3, 4, 6], [0, 6]]} | {"states": [39, 181], "expectation_value": -0.026786307558060614, "params": [[0.056], [-0.050800000000000005]], "bitstrings": ["11011000", "01001010"], "total_optimization_steps": 10, "probabilities": [0.004105259379469014, 0.004105278606761782], "optimization_time": 0.731036901473999} | 0.5 * (Z(4) @ Z(5)) + 0.05 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.05 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.05 * (Z(2) @ Z(7)) + 0.05 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(4)) + 0.05 * (Z(3) @ Z(7)) + 0.13333333333333333 * (Z(3) @ Z(2)) + 0.05 * (Z(6) @ Z(5)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.366666666666667, -2.366666666666667, -2.366666666666667], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.25, "smallest_bitstrings": ["11011000", "01001010", "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];
cx q[5], q[4];
rz(0.056) q[4];
cx q[5], q[4];
cx q[5], q[7];
rz(0.0056) q[7];
cx q[5], q[7];
cx q[4], q[7];
rz(0.056) q[7];
cx q[4], q[7];
cx q[7], q[1];
rz(0.056) q[1];
cx q[7], q[1];
cx q[5], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[4];
r... | null | {"circuits": [], "gradients": []} |
dee99b5a2b9a8dcba1984d8147401d5f | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target... | {"states": [22954, 42581], "expectation_value": -1.9997510434828127, "params": [[3.1391], [-0.39540000000000003]], "bitstrings": ["1010011001010101", "0101100110101010"], "total_optimization_steps": 360, "probabilities": [0.003904970943994254, 0.003904970943994254], "optimization_time": 65.3028781414032} | 0.25 * (Z(0) @ Z(1)) + -0.0007716049382716049 * (Z(2) @ Z(0)) + -0.0007716049382716049 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0007716049382716049 * (Z(4) @ Z(0)) + 0.00030864197530864197 * (Z(4) @ Z(2)) + -0.0007716049382716049 * (Z(5) @ Z(1)) + 0.00030864197530864197 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0174382716049153], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0174382716048727, "smallest_bitstrings": ["0101100110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(1.5696) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0048) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0048) 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] 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[16] c;
qubit[16] q;
h q[0];
h q[1];
... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
be5567089ea669cee1a7aa408c6e9375 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [104, 21], "expectation_value": -1.335081370284366, "params": [[-0.055600000000000004, -0.0604, -0.0687, -0.0849], [0.0658, 0.0656, 0.0694, 0.07780000000000001]], "bitstrings": ["0010111", "1101010"], "total_optimization_steps": 10, "probabilities": [0.017982764762194087, 0.01880286381322911], "optimization_... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(1) + -1.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(3) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["0110110", "1101010", "1010011", "0010111", "1110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0556) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(-0.0556) q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-0.0556) q[1];
cx q[2], q[1];
cx q[4], q[5];
rz(-0.0556) q[5];
cx q[4], q[5];
cx q[1], 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[... | null | {"circuits": [], "gradients": []} |
edc3bac605c0e8fb4f027513dd92e8fb | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [2, 6], "expectation_value": -2.919056227483678, "params": [[[1.3036, -0.06330000000000001], [0.0247, -0.0618], [1.2986, -1.2889000000000002], [-0.23440000000000003, 0.2831], [0.6448, -0.6438]], [[0.2497, -0.0009000000000000001], [-0.0058000000000000005, 0.0122], [0.20520000000000002, -0.1018], [0.2880000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + -0.5 * Z(2) | 15 | 5 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["01011", "11001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
ry(1.3036) q[0];
ry(0.0247) q[1];
ry(1.2986) q[2];
ry(-0.2344) q[3];
ry(0.6448) q[4];
cx q[4], q[0];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(-0.0633) q[0];
ry(-0.0618) q[1];
ry(-1.2889) q[2];
ry(0.2831) q[3];
ry(-0.6438) q[4];
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[... | null | {"circuits": [], "gradients": []} |
11576eab70c2ec583415b5e8bd58f9e2 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [13, 7], "expectation_value": -6.695030995372196, "params": null, "bitstrings": ["110010", "111000"], "total_optimization_steps": 55, "probabilities": [0.10881682250307842, 0.5951549079003051], "optimization_time": 76.74883675575256} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 16 | 6 | 1 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.5708) q[5], q[1];
ry(0.8148) q[5];
cry(-1.5708) q[3], q[0];
ry(0.918) q[3];
cry(-1.5708) q[4], q[2];
ry(0.66) q[4];
ry(-0.4046) q[0];
ry(-0.3102) q[1];
cry(0.3876) q[5], q[3];
cry(0.3681) q[3], q[5];
cry(-... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[5], 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 ... |
82a9b805089c1b1c13eff0722cc99710 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "s... | {"states": [0, 1], "expectation_value": -8.100433179568233, "params": [-0.0034000000000000002, 0.453, 0.0022, 0.5584, 0.0028, 0.6025, 0.0022, 0.5972000000000001, 0.0023, 0.5388000000000001, -0.0028, 0.6114, 0.0028, 0.5637, 0.0023, 0.5828, 0.8004, -0.0036000000000000003, -0.0037, 0.20020000000000002, 0.0022, -0.16390000... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @... | 4 | 9 | 2 | {"smallest_eigenvalues": [-11.0, -11.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["110111110", "111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0034) q[0];
rz(0.453) q[0];
rx(0.0022) q[1];
rz(0.5584) q[1];
rx(0.0028) q[2];
rz(0.6025) q[2];
rx(0.0022) q[3];
rz(0.5972) q[3];
rx(0.0023) q[4];
rz(0.5388) q[4];
rx(-0.0028) q[5];
rz(0.6114) q[5];
rx(0.0028) q[6];
rz(0.5637) q[6];
rx(0.0023) 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[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
b426b8aff164c6823b185eb6b091738d | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 4, "target": 3}, {"source": ... | {"states": [38, 7], "expectation_value": -6.6048679557373084, "params": null, "bitstrings": ["011001", "111000"], "total_optimization_steps": 54, "probabilities": [0.10494263610666708, 0.6036000662340474], "optimization_time": 74.69833159446716} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 16 | 6 | 1 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.5708) q[5], q[0];
ry(0.8148) q[5];
cry(-1.5708) q[4], q[2];
ry(0.7607) q[4];
cry(-1.5708) q[3], q[1];
ry(0.8901) q[3];
ry(-0.3824) q[1];
ry(-0.3222) q[0];
cry(-0.3012) q[3], q[2];
cry(0.4283) q[3], q[4];
c... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
-897495748697741957 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 3, 5, 10], [1, 3, 4, 6, 7, 10], [0, 1, 2, 3, 4, 10], [0, 2, 4, 7, 8, 9], [0, 9, 3, 5], [9, 2, 5], [9, 5, 1, 6], [8, 1, 3, 6], [4, 5], [1, 2, 4, 6, 7, 10], [8, 9, 0, 1], [0, 3, 6, 7], [0, 5, 6, 9, 10], [1, 3, 7, 9, 10], [0, 2, 3, 4, 8, 9], [8, 1, 2, 5],... | {"states": [1887, 1883], "expectation_value": -4.2658356361769485, "params": [1.5574000000000001, -0.0024000000000000002, 1.5887, 0.0051, 1.3598000000000001, -0.0032, 1.4035, 0.0068000000000000005, 1.5766, 0.0022, 1.5606, 0.007200000000000001, -0.0021000000000000003, -1.6334000000000002, -0.0022, 0.0015, 1.573000000000... | 0.16666666666666669 * (Z(0) @ Z(1)) + 0.25 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.3 * (Z(5) @ Z(1)) + 0.18333333333333335 * (Z(5) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.2 * (Z(10) @ Z(1)) + 0.18333333333333335 * (Z(10) @ Z(0)) + 0.21666666666666667 * (Z(10) @ Z(3)) + 0.1 * (Z(10) @ Z(5)) + ... | 7 | 11 | 1 | {"smallest_eigenvalues": [-4.583333333333334, -4.583333333333334], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.483333333333334, "smallest_bitstrings": ["00010100100", "00001010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.5574) q[0];
rz(-0.0024) q[0];
rx(1.3598) q[1];
rz(-0.0032) q[1];
rx(1.5766) q[2];
rz(0.0022) q[2];
rx(-0.0021) q[3];
rz(-1.6334) q[3];
rx(1.573) q[4];
rz(-0.0041) q[4];
rx(-0.0028) q[5];
rz(1.2836) q[5];
rx(1.5667) q[6];
rz(-0.0024) q[6];
rx(1.5724) 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": []} |
b444c46422c6f790da88092fcca7cf9d | 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": [359, 327], "expectation_value": -80.87770494984588, "params": [-0.006200000000000001, 0.7419, 1.391, 0.0025, 0.0045000000000000005, 0.2132, 1.3954, -0.1705, 0.7838, -0.29200000000000004, 0.5855, 0.4575, 0.0017000000000000001, 0.8252, 1.4009, -0.0027, 1.395, -0.0031000000000000003, 1.3971, 0.2373, -0.0062000... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(9) @ Z(1)) + 6.5 * (Z(9) @ Z(4)) + 6.5 * (Z(9) @ Z(7)) + 20.0 * Z(1) + -2.0 * Z(0) + 15.0 * Z(4) + 12.5 * Z(3) + ... | 18 | 10 | 2 | {"smallest_eigenvalues": [-98.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.0, "smallest_bitstrings": ["1010111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0062) q[0];
rz(0.7419) q[0];
rx(1.391) q[1];
rz(0.0025) q[1];
rx(0.0045) q[2];
rz(0.2132) q[2];
rx(1.3954) q[3];
rz(-0.1705) q[3];
rx(0.7838) q[4];
rz(-0.292) q[4];
rx(0.5855) q[5];
rz(0.4575) q[5];
rx(0.0017) q[6];
rz(0.8252) q[6];
rx(1.4009) 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": []} |
b10e647670f759bc4f3dd1387515cbab | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [22, 50], "expectation_value": -3.49639804156796, "params": null, "bitstrings": ["101001", "001101"], "total_optimization_steps": 23, "probabilities": [0.06635196634149224, 0.9303270202936694], "optimization_time": 17.482128381729126} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["001101", "101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[2];
ry(-1.4449) q[5];
ry(1.4417) q[1];
ry(1.4417) q[4];
cry(-1.0342) q[0], q[3];
ry(0.7003) q[0];
cry(-0.1259) q[4], q[5];
ry(-0.4549) q[3];
cry(0.4962) q[4], q[0];
cry(-0.3788) q[4], q[3];
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(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
9994d9c0864e8ab88d6d9169e088b46e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, ... | {"states": [42, 26], "expectation_value": -2.767223286827866, "params": [0.0013000000000000002, -0.0023, 0.21980000000000002, 0.221, 0.2622, 0.2536, 0.29810000000000003, 0.29660000000000003, -0.0059, -0.008700000000000001, 0.2988, 0.3047, 0.08220000000000001, 0.0907, 0.0009000000000000001, 0.0032, 0.2078, 0.2131, 0.256... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + 0.0 * Z(5) + -1.0 * Z(4) + -0.5 * Z(6) + 0.0 * Z(3) | 14 | 7 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["1110001", "1101100", "1100101", "0110011", "1011100", "1010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.0013) q[0];
ry(0.2198) q[1];
ry(0.2622) q[2];
ry(0.2981) q[3];
ry(-0.0059) q[4];
ry(0.2988) q[5];
ry(0.0822) q[6];
crx(0.0066) q[6], q[0];
crx(0.0932) q[5], q[6];
crx(0.2602) q[4], q[5];
crx(-0.0029) q[3], q[4];
crx(0.1481) q[2], q[3];
crx(0.2312) 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... | null | {"circuits": [], "gradients": []} |
42fc1cab65130010b16c5206f9faaa99 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [37, 7], "expectation_value": -22.048378033372657, "params": null, "bitstrings": ["11011010", "11111000"], "total_optimization_steps": 92, "probabilities": [0.07807308879076097, 0.6009750956398249], "optimization_time": 210.54894280433655} | 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... | 3 | 8 | 2 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "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];
ry(-0.197) q[2];
ry(-0.3559) q[1];
ry(-0.2317) q[0];
ry(-0.5045) q[3];
cry(-1.2391) q[6], q[2];
cry(-1.2069) q[7], q[1];
cry(-1.066) q[5], q[3];
cry(-1.3391) q[4], q[0];
ry(1.1901) q[5];
cry(-0.44... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.197) 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[... |
3320932589923452721 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [3, 5], [1, 6], [1, 5], [1, 7], [3, 6], [0, 4], [0, 6], [5, 6], [2, 6], [1, 2], [3, 7], [4, 5]]} | {"states": [90, 165], "expectation_value": -0.1269201237486887, "params": [[0.0748], [-0.0669]], "bitstrings": ["10100101", "01011010"], "total_optimization_steps": 10, "probabilities": [0.004637859964811577, 0.004637859964811577], "optimization_time": 1.7786245346069336} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["01011010", "10100101"]} | 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(0.0748) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(0.0748) q[5];
cx q[3], q[5];
cx q[5], q[1];
rz(0.0748) q[1];
cx q[5], q[1];
cx q[3], q[6];
rz(0.0748) q[6];
cx q[3], q[6];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(x0) q[5];
cx q[3], q[5];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[3]... | null | {"circuits": [], "gradients": []} |
44f6b31e8ce09e476aa687c2c73c6e99 | 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": 6}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"source": 3, "ta... | {"states": [6, 102], "expectation_value": -3.061028844694119, "params": [0.091, 0.19840000000000002, 0.5035000000000001, -0.00030000000000000003, 0.5016, -0.0022, 0.2245, -0.07440000000000001, 0.3548, 0.0006000000000000001, 0.4985, -0.0051, 0.501, -0.015700000000000002, 0.1884, -0.1491, 0.091, 0.1973, 0.507500000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(6) + -1.0 * Z(7) + 0.0 * Z(1) + -1.0 * Z(5) + -0.... | 4 | 8 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["10011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.091) q[0];
rz(0.1984) q[0];
rx(0.5035) q[1];
rz(-0.0003) q[1];
rx(0.5016) q[2];
rz(-0.0022) q[2];
rx(0.2245) q[3];
rz(-0.0744) q[3];
rx(0.3548) q[4];
rz(0.0006) q[4];
rx(0.4985) q[5];
rz(-0.0051) q[5];
rx(0.501) q[6];
rz(-0.0157) q[6];
rx(0.1884) 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": []} |
8d8fa5ee6a82ad17d0d6120aef30e861 | 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": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6... | {"states": [33, 1], "expectation_value": -11.74999348972191, "params": null, "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 17, "probabilities": [0.4999996713631394, 0.4999996713631394], "optimization_time": 12.438218116760254} | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(5) @ Z(3)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + -1.5 * Z(4) + 2.25 * Z(6) + 1.5 * Z(1) + -1.25 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["1011110", "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];
ry(1.5708) q[6];
ry(-1.5708) q[0];
ry(-1.5708) q[4];
ry(-1.5706) q[2];
ry(-1.5706) q[5];
ry(-1.5708) q[3];
cry(-0.0016) q[6], q[0];
cry(-0.0002) q[6], q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] ... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
74a9039e61abdfc370e0e9ccbda58085 | 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": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 5}]} | {"states": [18, 33], "expectation_value": -0.06908885415355752, "params": [[-0.040600000000000004, -0.0367, 0.0507], [0.051000000000000004, 0.0475, -0.0119]], "bitstrings": ["101101", "011110"], "total_optimization_steps": 10, "probabilities": [0.016995888626565467, 0.016995888626565488], "optimization_time": 4.7657885... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 1 | 6 | 3 | {"smallest_eigenvalues": [-2.625, -2.625, -2.625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.625, "smallest_bitstrings": ["011110", "101101", "011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0406) q[0];
cx q[1], q[0];
cx q[3], q[0];
rz(-0.0102) q[0];
cx q[3], q[0];
cx q[4], q[0];
rz(-0.0102) q[0];
cx q[4], q[0];
cx q[2], q[0];
rz(-0.0102) q[0];
cx q[2], q[0];
cx q[4], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
ea6f28b1d52734982303edc3e4a649bb | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 13, "source": 1, "target": 6}, {"weight": 11, "source": 1, "target": 5}, {"weight": 8, "source": 2, "target": 3}, {"... | {"states": [206, 110], "expectation_value": -24.185413123433555, "params": [[-0.0342, 0.0002, 0.008700000000000001], [0.0751, 0.0616, 0.0531]], "bitstrings": ["00110001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.01282775526791171, 0.014347647987465389], "optimization_time": 7.178169250488281} | 4.0 * (Z(0) @ Z(2)) + 4.0 * (Z(1) @ Z(2)) + 4.0 * (Z(1) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 6.5 * Z(2) +... | 1 | 8 | 3 | {"smallest_eigenvalues": [-62.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -56.5, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(-0.2736) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.2736) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.2736) q[1];
cx q[0], q[1];
cx q[1], q[4];
rz(-0.2736) q[4];
cx q[1], q[4];
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": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
6762673060084999459 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 6], [1, 6], [3, 6], [0, 1, 3, 4, 5], [2, 4]]} | {"states": [108, 120], "expectation_value": -0.012526812380336734, "params": [[-0.038200000000000005], [0.0392]], "bitstrings": ["0010011", "0000111"], "total_optimization_steps": 10, "probabilities": [0.008004856340421598, 0.008014229122902809], "optimization_time": 1.900292158126831} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.05 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.05 * (Z(3) @ Z(0)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(4) @ Z(0)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.2, -2.2, -2.2], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["0010011", "0000111", "0000101"]} | 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(-0.0382) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(-0.0382) q[1];
cx q[6], q[1];
cx q[0], q[1];
rz(-0.0038) q[1];
cx q[0], q[1];
cx q[6], q[3];
rz(-0.0382) q[3];
cx q[6], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[6], q[1];
rz(x0) q[1];
cx q[6], q[1];
cx q[0], q[1];
rz(... | null | {"circuits": [], "gradients": []} |
294512af72c0fecd4cefe8fd6a356b5c | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 1, "source": 0, "t... | {"states": [47, 109], "expectation_value": -35.43673122360108, "params": null, "bitstrings": ["11010000", "10010010"], "total_optimization_steps": 100, "probabilities": [0.11976868504268683, 0.1765281471536214], "optimization_time": 147.01314735412598} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 5.0 * Z(0) + 11.5 * Z(2) + 13.0 * Z(1) + -3.0 * Z(3) + 2.0 * Z(4) + 14.0 * Z(5) + 9.5 * Z(6) + 12.5 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-59.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(22.4081) q[5];
ry(31.6164) q[7];
ry(63.0918) q[1];
ry(9.0828) q[2];
ry(1.8402) q[6];
cry(-2.0325) q[6], q[2];
cry(-4.4748) q[6], q[5];
cry(2.4258) q[6], q[7];
cry(0.0565) q[6], q[1];
cry(0.386)... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(22.4081) q[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... |
9e8a866d2c0011b6946d4c64e758f31c | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 4}, {"weight": 17, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 2}, {"weight": 1... | {"states": [125, 124], "expectation_value": -16.204953715364653, "params": [[0.0227, 0.0158], [-0.0427, -0.0623]], "bitstrings": ["10000010", "10000011"], "total_optimization_steps": 10, "probabilities": [0.008187054370381633, 0.009809075777864782], "optimization_time": 3.9635186195373535} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(0)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-77.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["10000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.1589) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1589) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1589) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.1589) q[3];
cx q[0], q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
4ef5b8ae9f7c2af9940d89976f60e031 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [129, 1], "expectation_value": -13.999993443837631, "params": null, "bitstrings": ["01111110", "11111110"], "total_optimization_steps": 23, "probabilities": [6.489457528111626e-07, 0.9999993343841902], "optimization_time": 18.48148822784424} | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(5)) + -1.75 * (Z(4) @ Z(6)) + 0.5 * Z(2) + -0.25 * Z(0) + 1.0 * Z(5) + -0.75 * Z(1) + -1.5 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-1.5708) q[4];
ry(1.5708) q[7];
ry(-1.5708) q[0];
ry(-1.5708) q[3];
ry(-1.5708) q[6];
ry(-1.5706) q[5];
ry(-1.5706) q[1];
ry(-1.5708) q[2];
cry(-0.0016) q[7], q[0];
c[0] = measure q[0];
c[1] = ... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
8672f4adf41d38ee04f91cc5c89bd1b9 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, ... | {"states": [125, 93], "expectation_value": -2.088126678078019, "params": [0.0024000000000000002, 0.0067, 0.4141, 0.001, 2.2032000000000003, 0.0098, 1.5587, 0.0033, 2.1984, 0.0033, 2.2037, 0.0095, 2.2066, 0.0038, 0.3859, 0.0083, 2.1166, 0.0015, 0.01, 0.001, 0.008700000000000001, 0.0029000000000000002, 0.0044, 0.008, 0.0... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4) @ Z(0) ... | 16 | 9 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.375, "smallest_bitstrings": ["110000110", "110000011", "100110010", "110001001", "110100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0024) q[0];
rz(0.0067) q[0];
rx(0.4141) q[1];
rz(0.001) q[1];
rx(2.2032) q[2];
rz(0.0098) q[2];
rx(1.5587) q[3];
rz(0.0033) q[3];
rx(2.1984) q[4];
rz(0.0033) q[4];
rx(2.2037) q[5];
rz(0.0095) q[5];
rx(2.2066) q[6];
rz(0.0038) q[6];
rx(0.3859) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
857e65bd5af79cea0e3b06ea35e9b80e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 5... | {"states": [64, 63], "expectation_value": -0.5668571685608692, "params": [[0.0292, 0.0775], [-0.008700000000000001, -0.0575]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.010310884319702493, 0.01065271010375203], "optimization_time": 3.1196470260620117} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + 1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * Z(2... | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["1100000", "1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0146) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0438) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0438) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(-0.0438) q[1];
cx q[2], q[1];
cx q[2], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
24e9c86cfdb3e8240ca21f54feb2ae3f | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 3}, {"weight": 16, "source": 0, "target": 5}, {"weight": 12, "source": 1, "tar... | {"states": [249, 244], "expectation_value": -18.138488833851092, "params": [[-0.0386, 0.011600000000000001, 0.0596], [0.0632, 0.012, -0.042100000000000005]], "bitstrings": ["100000110", "100001011"], "total_optimization_steps": 10, "probabilities": [0.005320499657555952, 0.006813001030126606], "optimization_time": 6.24... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["100001011"]} | 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(-0.3474) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3474) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3474) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(-0.3474) q[4];
cx q[0], 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": []} |
faf4b0caa7c698b3ebcd75f4504d4ae4 | 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": [165, 229], "expectation_value": -66.30831806206619, "params": [[0.0014, -0.008700000000000001, 0.5837, 0.9976, 1.0007000000000001, 1.0002, 0.1388, 0.1832, 0.9958, 0.0022, 0.9892000000000001], [0.0021000000000000003, 0.0009000000000000001, 0.5585, 0.2989, 0.3916, 0.5368, 0.047900000000000005, 0.1698, 0.999, ... | 7.5 * (Z(1) @ Z(4)) + 7.5 * (Z(2) @ Z(4)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(5) @ Z(2)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(7) @ Z(3)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(0) @ Z(8)) + 7.5 * (Z(10) @ Z(6)) + 16.5 * Z(4) + -4.0 * Z(1) + 9.5 * Z(2) + 13.5 * Z(3) + 9.5 * Z(5) + 1.0 * Z(6) + 5.0 * Z(7) + 9.5 *... | 10 | 11 | 2 | {"smallest_eigenvalues": [-113.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -104.0, "smallest_bitstrings": ["11100011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0014) q[0];
ry(-0.0087) q[1];
ry(0.5837) q[2];
ry(0.9976) q[3];
ry(1.0007) q[4];
ry(1.0002) q[5];
ry(0.1388) q[6];
ry(0.1832) q[7];
ry(0.9958) q[8];
ry(0.0022) q[9];
ry(0.9892) q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
4eebe9a8a97a840077f78c3a170e65f1 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3... | {"states": [64, 63], "expectation_value": -0.45861977275450194, "params": [[-0.033600000000000005, -0.0323, -0.0751], [0.0364, 0.029, 0.0637]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.01204691336253044, 0.012855570918070509], "optimization_time": 6.0716352462768555} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.25, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0336) q[0];
cx q[1], q[0];
cx q[0], q[5];
rz(0.0168) q[5];
cx q[0], q[5];
cx q[1], q[2];
rz(0.0504) q[2];
cx q[1], q[2];
cx q[5], q[2];
rz(0.0336) q[2];
cx q[5], q[2];
cx q[1], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": []} |
-4120562060076382014 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 2, 3, 4, 7], [0, 3, 6], [1, 2, 4], [8, 1, 6, 9], [0, 4, 5, 7, 8], [8, 2, 7], [2, 4, 6], [1, 4, 6, 7, 9], [0, 1, 6, 7], [0, 1, 4, 5, 8], [8, 2, 4], [9, 2, 1], [9, 3], [0, 9, 4, 7], [0, 9, 1, 6], [9, 5, 6], [2, 3, 5, 7], [2, 5, 6, 7], [1, 3, 5, 7]]} | {"states": [510, 382], "expectation_value": -3.2234689006088737, "params": [0.6399, 0.3244, 0.6407, 0.007500000000000001, 1.2936, -0.0257, 1.2932000000000001, 0.0666, 0.6749, 0.31470000000000004, 0.6798000000000001, 0.0019, 1.0478, 0.0001, 1.2734, 0.0082, 1.1433, -0.0364, 1.1372, 0.0029000000000000002, 1.2923, -0.4047,... | 0.05 * (Z(0) @ Z(2)) + 0.13333333333333333 * (Z(3) @ Z(2)) + 0.21666666666666667 * (Z(3) @ Z(0)) + 0.5499999999999999 * (Z(4) @ Z(2)) + 0.23333333333333334 * (Z(4) @ Z(0)) + 0.05 * (Z(4) @ Z(3)) + 0.3833333333333333 * (Z(7) @ Z(2)) + 0.26666666666666666 * (Z(7) @ Z(0)) + 0.21666666666666667 * (Z(7) @ Z(3)) + 0.23333333... | 8 | 10 | 1 | {"smallest_eigenvalues": [-4.633333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.383333333333335, "smallest_bitstrings": ["1010000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.6399) q[0];
rz(0.3244) q[0];
rx(1.2936) q[1];
rz(-0.0257) q[1];
rx(0.6749) q[2];
rz(0.3147) q[2];
rx(1.0478) q[3];
rz(0.0001) q[3];
rx(1.1433) q[4];
rz(-0.0364) q[4];
rx(1.2923) q[5];
rz(-0.4047) q[5];
rx(1.2856) q[6];
rz(-0.0272) q[6];
rx(1.2901) 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": []} |
9e72b7dd0d69a46b7f007aaed5517323 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 5, "target": 3}]} | {"states": [6, 7], "expectation_value": -5.131480279836375, "params": [[[0.082, 0.3103], [0.15660000000000002, 0.2051], [0.15990000000000001, 0.2205], [0.6601, -0.0023], [0.6546000000000001, -0.0034000000000000002], [0.4768, -0.0032]], [[0.09090000000000001, 0.3013], [0.15480000000000002, 0.2156], [0.1574, 0.2202], [0.... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 * ... | 1 | 6 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.082) q[0];
rz(0.3103) q[0];
rx(0.1566) q[1];
rz(0.2051) q[1];
rx(0.1599) q[2];
rz(0.2205) q[2];
rx(0.6601) q[3];
rz(-0.0023) q[3];
rx(0.6546) q[4];
rz(-0.0034) q[4];
rx(0.4768) q[5];
rz(-0.0032) q[5];
rx(0.0909) q[0];
rz(0.3013) q[0];
rx(0.1548) q[1];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
a3571c19d72a014065614d323aff3379 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [29, 30], "expectation_value": -3.9998990634532334, "params": null, "bitstrings": ["100010", "100001"], "total_optimization_steps": 25, "probabilities": [1.641445737550844e-05, 0.9999303761353144], "optimization_time": 14.385314464569092} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(3) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[0];
ry(-1.4449) q[5];
ry(1.4449) q[3];
ry(1.4449) q[1];
ry(1.4417) q[2];
ry(1.4417) q[4];
cry(-0.1259) q[4], q[5];
cry(0.1217) q[1], q[2];
cry(0.1216) q[2], q[4];
cry(0.1188) q[2], q[3];
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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
-2786189512650659487 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 3, 4], [0, 2, 3, 5, 6], [0, 1, 3, 6], [0, 2, 4, 6], [0, 1, 2, 6]]} | {"states": [73, 89], "expectation_value": -1.1865188833523173, "params": null, "bitstrings": ["0110110", "0100110"], "total_optimization_steps": 35, "probabilities": [0.06958525248120717, 0.7196547581470917], "optimization_time": 46.726110219955444} | 0.3 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(0)) + 0.05 * (Z(2) @ Z(3)) + 0.21666666666666667 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(6) @ Z(3)) + 0.3 * (Z(6) @ Z(0)) + 0.0833333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.2833333333333337, -1.2833333333333337], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.2833333333333334, "smallest_bitstrings": ["1000000", "0100110"]} | 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(1.5218) q[0];
ry(0.7929) q[6];
cry(0.4506) q[0], q[6];
cry(-0.4911) q[3], q[4];
cry(-0.3956) q[6], q[1];
cry(-0.3326) q[3], q[1];
cry(-0.2746) q[2], q[1];
ry(0.257) q[3];
cry(-0.3255) q[2], 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(1.5218) 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];\n", "... |
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": -12.417137422486988, "params": null, "bitstrings": ["1101001", "1111000"], "total_optimization_steps": 64, "probabilities": [0.10636678277270013, 0.6088615559824023], "optimization_time": 115.57831931114197} | 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 ... | 18 | 7 | 4 | {"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", ... |
3c6a0f75571e718d8fbaf4d718e39505 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [1452, 1454], "expectation_value": -2.319677078504973, "params": [[[0.6855, 0.006200000000000001], [0.2384, 0.0025], [0.6996, -0.0159], [0.7024, 0.08220000000000001], [0.2655, 0.5599000000000001], [0.7044, 0.17020000000000002], [0.4645, 0.1804], [0.1988, 0.6899000000000001], [0.1208, 0.5857], [0.514500000000... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 15 | 11 | 4 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.8125, "smallest_bitstrings": ["10010001001", "10001010001", "10000001101", "01011000001", "10000011001", "10000010011", "01001000101", "01... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.6855) q[0];
ry(0.2384) q[1];
ry(0.6996) q[2];
ry(0.7024) q[3];
ry(0.2655) q[4];
ry(0.7044) q[5];
ry(0.4645) q[6];
ry(0.1988) q[7];
ry(0.1208) q[8];
ry(0.5145) q[9];
ry(0.3648) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
40a3686841126450928dceb82dd758e7 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 14, "source": 1, "target": 6}, {"weight": 12, "source": 1, "target": 8}, {"weight": 9, "source... | {"states": [220, 216], "expectation_value": -26.973625390478738, "params": [[[0.26180000000000003, 0.22820000000000001], [0.7051000000000001, 0.0036000000000000003], [0.7067, -0.0019], [-0.0041, 0.5122], [0.6934, 0.003], [0.6927, 0.0029000000000000002], [0.4844, 0.09040000000000001], [0.22290000000000001, 0.2368], [0.2... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(5) @ Z(6)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(4)) + 3.0 * Z(1) + -2.0 * Z(0) + 4.0 * Z(2) + -4.5 * Z(4) + -9... | 1 | 9 | 3 | {"smallest_eigenvalues": [-49.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -48.0, "smallest_bitstrings": ["100100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.2618) q[0];
rz(0.2282) q[0];
rx(0.7051) q[1];
rz(0.0036) q[1];
rx(0.7067) q[2];
rz(-0.0019) q[2];
rx(-0.0041) q[3];
rz(0.5122) q[3];
rx(0.6934) q[4];
rz(0.003) q[4];
rx(0.6927) q[5];
rz(0.0029) q[5];
rx(0.4844) q[6];
rz(0.0904) q[6];
rx(0.2229) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
404057c7f12171487b8e4c0dec61ffa3 | 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": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capaci... | {"states": [7, 31], "expectation_value": -3.4512643325992425, "params": null, "bitstrings": ["111000", "100000"], "total_optimization_steps": 45, "probabilities": [0.08562209917446545, 0.7253294113483193], "optimization_time": 30.14455008506775} | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -1.25 * (Z(3) @ Z(4)) + -0.5 * Z(2) + -0.25 * Z(0) + -0.25 * Z(5) + 0.25 * Z(1) + 1.0 * Z(4) + -0.25 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(1.57) q[3], q[4];
ry(0.845) q[3];
ry(0.4428) q[4];
cry(0.5798) q[4], q[3];
cry(1.3016) q[2], q[1];
cry(1.0285) q[4], q[2];
cry(0.6445) q[4], q[1];
cry(1.29) q[4], q[5];
cry(-1.4709) q[5], q[0];
cry(0.1972) q[... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.57) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"s... |
-6717123848239722259 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 11], [9, 10], [5, 7], [9, 5], [8, 0], [8, 4], [0, 6], [8, 3], [0, 9], [0, 5], [8, 11], [8, 1], [3, 7], [11, 7], [6, 7], [10, 6], [1, 3], [1, 10], [2, 5]]} | {"states": [2714, 2586], "expectation_value": -0.15770310198476306, "params": [1.7274, 0.007500000000000001, 1.4514, 0.0095, 1.7181000000000002, 0.003, 1.4319000000000002, 0.0081, 1.4838, 0.0013000000000000002, 1.4077000000000002, 0.0001, 1.3813, 0.0079, 1.7387000000000001, 0.0035, 1.6928, 0.0078000000000000005, 1.4222... | 0.5 * (Z(0) @ Z(11)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(7) @ Z(11)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(11)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(10)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (... | 16 | 12 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["010111100101", "101000011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.7274) q[0];
rz(0.0075) q[0];
rx(1.4514) q[1];
rz(0.0095) q[1];
rx(1.7181) q[2];
rz(0.003) q[2];
rx(1.4319) q[3];
rz(0.0081) q[3];
rx(1.4838) q[4];
rz(0.0013) q[4];
rx(1.4077) q[5];
rz(0.0001) q[5];
rx(1.3813) q[6];
rz(0.0079) q[6];
rx(1.7387) 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": []} |
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