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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
03a8941dd9c8b7549060b6323e060e33 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 7}, {"source": 2, "target": 4}, {"sour... | {"states": [235, 233], "expectation_value": -4.987943073994022, "params": [[[-0.0024000000000000002, -0.0218, 0.0099, 0.0085], [-0.0024000000000000002, 0.0218, 1.0962, 0.0083], [1.5728, -0.0022, 1.5726, 0.001], [1.5738, -0.0027, 1.5724, 0.0046], [1.5733000000000001, -0.0021000000000000003, -1.5734000000000001, 0.0019],... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(5) + -1.0 * Z(0) + -1.5 * Z(6) + -0.5 * Z(8) + -0.5 * Z(7) + 0.0 * Z(1) + -1.5 * Z(4) + 0.0... | 11 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["110010100", "100010110", "100011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0024) q[0];
rz(-0.0218) q[0];
ry(-0.0024) q[1];
rz(0.0218) q[1];
ry(1.5728) q[2];
rz(-0.0022) q[2];
ry(1.5738) q[3];
rz(-0.0027) q[3];
ry(1.5733) q[4];
rz(-0.0021) q[4];
ry(1.5145) q[5];
rz(-0.0027) q[5];
ry(0.7374) q[6];
rz(-0.0006) q[6];
ry(-0.751) 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": []} |
-8165785830912568014 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 4], [0, 2, 4, 5, 8], [8, 1, 2, 9], [0, 3, 4, 6, 9], [0, 2, 4, 5, 6, 7, 9], [1, 2, 3, 5, 6, 9], [8, 2, 4, 6], [2, 3, 6, 7, 9], [8, 3, 5, 7], [8, 1, 5], [1, 3, 7, 8, 9], [0, 3, 4, 5, 6]]} | {"states": [755, 243], "expectation_value": -2.6529374123399765, "params": [0.6338, 0.8319000000000001, 0.0268, -0.022500000000000003, 1.8659000000000001, 1.252, 2.0681000000000003, 1.1291, 1.4773, 1.4346, 1.1926, 1.8803, 1.2342, 1.4192, 0.2592, 0.0689, 1.5033, 1.6508, 1.5593000000000001, 1.5815000000000001, 0.081, 0.4... | 0.5 * (Z(1) @ Z(4)) + 0.1738095238095238 * (Z(0) @ Z(4)) + 0.15714285714285714 * (Z(2) @ Z(4)) + 0.11666666666666667 * (Z(2) @ Z(1)) + 0.07380952380952381 * (Z(2) @ Z(0)) + 0.12380952380952381 * (Z(5) @ Z(4)) + 0.19999999999999998 * (Z(5) @ Z(1)) + 0.12380952380952381 * (Z(5) @ Z(0)) + 0.10714285714285715 * (Z(5) @ Z(2... | 14 | 10 | 1 | {"smallest_eigenvalues": [-2.9261904761904765, -2.9261904761904765], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.8428571428571434, "smallest_bitstrings": ["0000110001", "1100001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.6338) q[0];
ry(0.0268) q[1];
ry(1.8659) q[2];
ry(2.0681) q[3];
ry(1.4773) q[4];
ry(1.1926) q[5];
ry(1.2342) q[6];
ry(0.2592) q[7];
ry(1.5033) q[8];
ry(1.5593) q[9];
crx(0.081) q[9], q[0];
crx(0.8787) q[8], q[9];
crx(-0.4009) q[7], q[8];
crx(-0.4276) 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": []} |
9ce3632b8ac1e367ef69c693256c6458 | 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": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target":... | {"states": [173, 165], "expectation_value": -4.940672342967659, "params": [-0.0024000000000000002, 0.004, 0.7525000000000001, 0.7325, 0.7938000000000001, 0.7986000000000001, -0.0019, -0.009600000000000001, 0.8025, 0.8092, 0.0007, 0.0024000000000000002, 0.7668, 0.7397, 0.7862, 0.7939, 0.3297, 0.2998, 0.7998000000000001,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(9) ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -6.0, "smallest_bitstrings": ["1011100101", "1011010110", "1001101101", "1100011110", "1001011110", "1111010010", "0100111101", "1101011010", "0100111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0024) q[0];
ry(0.7525) q[1];
ry(0.7938) q[2];
ry(-0.0019) q[3];
ry(0.8025) q[4];
ry(0.0007) q[5];
ry(0.7668) q[6];
ry(0.7862) q[7];
ry(0.3297) q[8];
ry(0.7998) q[9];
crx(-0.0153) q[9], q[0];
crx(-0.6182) q[8], q[9];
crx(0.1997) q[7], q[8];
crx(0.7843) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
8f9556ded5862d313741f5f580f26f44 | 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": 3}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.10506045030100003, "params": [[-0.1625], [0.1759]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 20, "probabilities": [2.3083793587174384e-05, 2.3083793587174394e-05], "optimization_time": 16.30993342399597} | 0.25 * (Z(0) @ Z(1)) + 0.00030864197530864197 * (Z(2) @ Z(0)) + 0.00030864197530864197 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00030864197530864197 * (Z(4) @ Z(0)) + -0.0010802469135802468 * (Z(4) @ Z(2)) + 0.00030864197530864197 * (Z(5) @ Z(1)) + -0.0010802469135802468 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.022685185185164], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0226851851851193, "smallest_bitstrings": ["0101010110101010"]} | 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(-0.0813) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0001) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0001) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[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];
... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
1408234504470828730 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 5], [2, 3], [8, 3], [2, 5], [0, 7], [1, 3], [0, 5], [8, 1], [0, 3], [0, 6], [1, 2], [8, 2], [3, 6], [8, 6], [0, 4], [4, 6], [5, 6]]} | {"states": [325, 452], "expectation_value": -3.59340279831857, "params": null, "bitstrings": ["010111010", "000111011"], "total_optimization_steps": 87, "probabilities": [0.05306323723782473, 0.6746448038004712], "optimization_time": 189.0254054069519} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["111000100", "000111011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(-1.0342) q[8], q[3];
cry(-1.0342) q[6], q[4];
ry(1.0293) q[6];
cry(-0.8214) q[0], q[4];
cry(-1.2204) q[2], q[5];
ry(1.0366) q[2];
cry(1.2439) q[2], q[0];
cry(-0.7988) q[0], q[5];
cry(-... | 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];\ncry(-1.0342) q[8], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... |
2d427a1b11a2ac0cd77be7e19f4886a5 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [17, 31], "expectation_value": -5.003273325054742, "params": null, "bitstrings": ["101110", "100000"], "total_optimization_steps": 46, "probabilities": [0.06089525169923372, 0.7530569891117818], "optimization_time": 39.87859344482422} | 0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * Z(5) + -0.25 * Z(0) + 0.25 * Z(1) + -0.75 * Z(4) + -0.25 * Z(2) + 1.25 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "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(1.5708) q[4], q[3];
ry(0.7238) q[4];
cry(1.5643) q[4], q[1];
cry(1.5697) q[3], q[2];
cry(0.3063) q[2], q[3];
cry(0.3833) q[2], q[4];
ry(0.0779) q[3];
ry(-1.0342) q[0];
cry(1.3425) q[1], q[5];
cry(-0.4961) q[5... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5708) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... |
1792168887968305674 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 3], [8, 6], [8, 2], [0, 5], [0, 4], [3, 7]]} | {"states": [124, 222], "expectation_value": -2.5873937337501216, "params": null, "bitstrings": ["110000011", "100100001"], "total_optimization_steps": 70, "probabilities": [0.04601782632914337, 0.5912439139592605], "optimization_time": 97.06856679916382} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(8) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(7) | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["000111001", "101100100", "001111100", "011011110", "110000011", "010011011", "111000110", "100100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(-1.0342) q[6], q[8];
cry(-1.0342) q[7], q[3];
cry(-1.0342) q[5], q[0];
ry(0.7003) q[6];
cry(-0.7092) q[2], q[8];
cry(1.1516) q[6], q[2];
ry(0.7003) q[7];
cry(-0.7092) q[1], q[3];
cry(1... | 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];\ncry(-1.0342) q[6], 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];\n... |
6762673060084999459 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 6], [1, 6], [3, 6], [0, 1, 3, 4, 5], [2, 4]]} | {"states": [120, 122], "expectation_value": -1.9531963111604016, "params": null, "bitstrings": ["0000111", "0000101"], "total_optimization_steps": 47, "probabilities": [0.3017273054456145, 0.49235516394748896], "optimization_time": 53.148681640625} | 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];
cry(-1.0342) q[3], q[6];
ry(0.8763) q[3];
cry(-0.7717) q[1], q[6];
cry(1.2216) q[3], q[1];
cry(1.2894) q[1], q[0];
cry(-0.4342) q[0], q[6];
cry(-1.0496) q[2], q[4];
ry(0.7055) q[2];
cry(0.4861) q[1], q[3]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[3], 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... |
17639781641b88f9ffa836608d3b637d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [14, 78], "expectation_value": -1.8015700294317716, "params": [0.3214, 0.1811, 0.39730000000000004, 0.09870000000000001, 0.0064, -0.2082, 0.3312, 0.2139, 0.40590000000000004, 0.1374, 0.40850000000000003, 0.0041, 0.4082, 0.0008, 0.0009000000000000001, 0.2604, 0.3169, 0.197, 0.4045, 0.1328, -0.001, -0.2943, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(0) @ Z(5)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(5)) + 0.0625 * (Z(6) @ Z(1)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0... | 18 | 8 | 4 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.8125, "smallest_bitstrings": ["10110001", "10101001", "01110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3214) q[0];
rz(0.1811) q[0];
rx(0.3973) q[1];
rz(0.0987) q[1];
rx(0.0064) q[2];
rz(-0.2082) q[2];
rx(0.3312) q[3];
rz(0.2139) q[3];
rx(0.4059) q[4];
rz(0.1374) q[4];
rx(0.4085) q[5];
rz(0.0041) q[5];
rx(0.4082) q[6];
rz(0.0008) q[6];
rx(0.0009) 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": []} |
3295697073386190827 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 3], [0, 2], [1, 2, 4], [3, 5], [0, 4], [4, 5], [1, 3]]} | {"states": [27, 57], "expectation_value": -2.0832630311082503, "params": null, "bitstrings": ["100100", "000110"], "total_optimization_steps": 42, "probabilities": [0.12095621207040895, 0.6510084818758426], "optimization_time": 41.694055795669556} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.0 * Z(3) + 0.16666666666666674 * Z(2) + 0.0 * Z(0) + 0.16666666666666663... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.333333333333334, -2.333333333333334, -2.333333333333334], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["100110", "000110", "110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.0342) q[5], q[3];
ry(1.3116) q[1];
cry(-0.705) q[2], q[3];
ry(1.0152) q[5];
cry(-1.3786) q[0], q[4];
cry(1.2525) q[5], q[2];
ry(-0.5124) q[3];
cry(0.434) q[1], q[5];
cry(-0.2939) q[5], q[4];
ry(0.2911) q[2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
1165009819056049206 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 5], [0, 2, 4], [0, 8, 7], [8, 1], [5, 6], [8, 4], [3, 6, 7], [1, 5, 7], [2, 5, 7], [1, 6], [1, 3, 7], [8, 3, 5], [2, 6, 7], [0, 6], [3, 4, 6], [1, 3, 5], [8, 2]]} | {"states": [31, 498], "expectation_value": -0.1739060469719437, "params": [[0.07490000000000001], [-0.0637]], "bitstrings": ["111100000", "000001101"], "total_optimization_steps": 10, "probabilities": [0.0022242315534095032, 0.002251705460849085], "optimization_time": 1.0687870979309082} | 0.5 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.3333333333333333 * (Z(7)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.166666666666666, "smallest_bitstrings": ["000001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[0];
rz(0.0749) q[0];
cx q[5], q[0];
cx q[5], q[2];
rz(0.025) q[2];
cx q[5], q[2];
cx q[0], q[2];
rz(0.025) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(0.025) q[4];
cx q[0], q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[... | null | {"circuits": [], "gradients": []} |
e8fdec38f32f10530d269f6547919d57 | 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": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [171, 118], "expectation_value": -0.10713776752879997, "params": [[-0.0034000000000000002, -0.0412, -0.0693], [-0.046700000000000005, 0.030500000000000003, 0.0614]], "bitstrings": ["01010100", "10001001"], "total_optimization_steps": 10, "probabilities": [0.004823590428775651, 0.004823590428775654], "optimiz... | 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(0) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(6) @ Z(2)) + 0.125 ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-3.125, -3.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.125, "smallest_bitstrings": ["10001001", "01010100"]} | 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(-0.0017) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0017) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0017) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0017) q[0];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
61aab22f5871f2dd4fdd8c20af9be7a7 | 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": [149, 181], "expectation_value": -88.3006602377035, "params": [[-0.002, 0.1859, -0.0692, 0.8952, 0.07680000000000001, 0.19210000000000002, 0.7170000000000001, -0.0028, 0.8192, 0.084, 0.8704000000000001], [-0.0029000000000000002, 0.2599, 0.077, 0.8888, 0.2757, 0.9032, 0.8932, -0.0025, 0.8177000000000001, 0.09... | 7.5 * (Z(1) @ Z(3)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(6) @ Z(3)) + 7.5 * (Z(6) @ Z(1)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(4) @ Z(6)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(8) @ Z(4)) + 7.5 * (Z(9) @ Z(5)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(2)) + 14.5 * Z(3) + 4.5 * Z(1) + 4.0 * Z(2) + 23.5 * Z(6) + 15.5 * Z(5) + 11.5 * Z(... | 10 | 11 | 3 | {"smallest_eigenvalues": [-116.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -104.0, "smallest_bitstrings": ["11101001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.002) q[0];
ry(0.1859) q[1];
ry(-0.0692) q[2];
ry(0.8952) q[3];
ry(0.0768) q[4];
ry(0.1921) q[5];
ry(0.717) q[6];
ry(-0.0028) q[7];
ry(0.8192) q[8];
ry(0.084) q[9];
ry(0.8704) 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": []} |
3ed5f3574fc5742cdca345825268b283 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "... | {"states": [4095, 511], "expectation_value": -30.8948906400061, "params": [[[-0.002, 0.0061], [0.0034000000000000002, 0.0063], [-1.593, 0.001], [-0.4645, 0.00030000000000000003], [-0.0024000000000000002, 0.004], [-0.0024000000000000002, 0.0036000000000000003], [-0.0025, 0.0002], [0.16670000000000001, 0.0084000000000000... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(7)) + -2.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(4)) + -2.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + 1.0 * (Z(6) @ Z(5)) + -2.0 * (Z(8) @ Z(9)) + -2.... | 2 | 12 | 1 | {"smallest_eigenvalues": [-35.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.5, "smallest_bitstrings": ["111000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.002) q[0];
rz(0.0061) q[0];
rx(0.0034) q[1];
rz(0.0063) q[1];
rx(-1.593) q[2];
rz(0.001) q[2];
rx(-0.4645) q[3];
rz(0.0003) q[3];
rx(-0.0024) q[4];
rz(0.004) q[4];
rx(-0.0024) q[5];
rz(0.0036) q[5];
rx(-0.0025) q[6];
rz(0.0002) q[6];
rx(0.1667) 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[... | {"node": 2} | {"circuits": [], "gradients": []} |
6968455800780619906 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 2, 3, 5, 7], [2, 4], [0, 1, 6], [1, 3, 8, 10, 11], [8, 9], [8, 3, 4, 7], [0, 8, 3], [1, 11, 5, 6], [10, 3, 4], [1, 3, 7, 9, 11], [9, 11, 4], [8, 2, 3, 6], [0, 1, 2], [8, 1, 5], [3, 2, 11, 7], [3, 6, 9, 10, 11], [0, 4], [0, 3, 5], [2, 5, 7, 9, 10], [10... | {"states": [3038, 2974], "expectation_value": -6.104304515447621, "params": [[[-0.0057, 0.0132, 0.0012000000000000001, 0.0083], [2.7214, -0.0132, -0.0068000000000000005, 0.0026000000000000003], [1.5735000000000001, 0.0022, 1.5723, 0.0043], [-0.0023, 1.2414, -0.0023, 0.0053], [1.5738, -0.0023, 1.568, 0.0014], [2.5972, 0... | 0.3 * (Z(1) @ Z(4)) + 0.21666666666666667 * (Z(5) @ Z(4)) + 0.15000000000000002 * (Z(5) @ Z(1)) + 0.1 * (Z(7) @ Z(4)) + 0.3 * (Z(7) @ Z(1)) + 0.21666666666666667 * (Z(7) @ Z(5)) + 0.39999999999999997 * (Z(9) @ Z(4)) + 0.18333333333333335 * (Z(9) @ Z(1)) + 0.26666666666666666 * (Z(9) @ Z(5)) + 0.1 * (Z(9) @ Z(7)) + 0.5 ... | 11 | 12 | 1 | {"smallest_eigenvalues": [-6.466666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.933333333333334, "smallest_bitstrings": ["010001100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0057) q[0];
rz(0.0132) q[0];
ry(2.7214) q[1];
rz(-0.0132) q[1];
ry(1.5735) q[2];
rz(0.0022) q[2];
ry(-0.0023) q[3];
rz(1.2414) q[3];
ry(1.5738) q[4];
rz(-0.0023) q[4];
ry(2.5972) q[5];
rz(0.7442) q[5];
ry(-0.0032) q[6];
rz(-1.5208) q[6];
ry(0.0021) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
18d7674dcfcdfea0132549d38d535312 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1330, 1329], "expectation_value": -105.12095962392334, "params": [[[1.1901000000000002, 0.0304], [0.041800000000000004, 0.027100000000000003], [0.8441000000000001, 0.25470000000000004], [-0.10110000000000001, 0.262], [0.0061, 0.0222], [-0.06770000000000001, 1.022], [-0.093, 0.32580000000000003], [-0.0108, 1... | 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(10) @ Z(0)) + 7.0 * (Z(9) @ Z(10)) + 12.5 * Z(2) + 16.0 * Z(0) + 4.0 * Z(1) + -4.0 * Z(3) + 0.5 * Z(4) + 10.0 * Z(5) + 8.0 * Z(6) + 1.0... | 15 | 11 | 4 | {"smallest_eigenvalues": [-112.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -102.5, "smallest_bitstrings": ["01011001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.1901) q[0];
ry(0.0418) q[1];
ry(0.8441) q[2];
ry(-0.1011) q[3];
ry(0.0061) q[4];
ry(-0.0677) q[5];
ry(-0.093) q[6];
ry(-0.0108) q[7];
ry(0.0074) q[8];
ry(0.2956) q[9];
ry(0.1177) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
2b8dca7c94388a8984b1472327af39be | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [3, 7], "expectation_value": -11.613626698205938, "params": [[[0.4766, 0.1786], [0.4743, 0.17880000000000001], [0.3896, 0.1925], [0.4823, 0.1776], [0.47240000000000004, 0.1767], [0.796, -0.0021000000000000003], [0.7968000000000001, 0.002], [0.7971, -0.0022]], [[0.4773, 0.0015], [0.47640000000000005, 0.006500... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3... | 1 | 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;
rx(0.4766) q[0];
rz(0.1786) q[0];
rx(0.4743) q[1];
rz(0.1788) q[1];
rx(0.3896) q[2];
rz(0.1925) q[2];
rx(0.4823) q[3];
rz(0.1776) q[3];
rx(0.4724) q[4];
rz(0.1767) q[4];
rx(0.796) q[5];
rz(-0.0021) q[5];
rx(0.7968) q[6];
rz(0.002) q[6];
rx(0.7971) 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[... | {"k": 5} | {"circuits": [], "gradients": []} |
bbe413a0841b062dbaa665f6954396a2 | 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": 5}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [1845, 1973], "expectation_value": -3.0872685174132606, "params": [0.0217, -0.0732, 0.061000000000000006, -0.0784, 0.3992, -0.0417, 0.39840000000000003, -0.0039000000000000003, 0.3398, -0.004200000000000001, 0.3438, 0.0001, 0.3831, -0.0461, 0.384, 0.006500000000000001, 0.39680000000000004, 0.0404000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(0) @ Z(3) @ Z(2)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(4) @ Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(5) ... | 6 | 12 | 3 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -2.75, "smallest_bitstrings": ["100101001000", "100000011010", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.0217) q[0];
rz(-0.0732) q[0];
rx(0.3992) q[1];
rz(-0.0417) q[1];
rx(0.3398) q[2];
rz(-0.0042) q[2];
rx(0.3831) q[3];
rz(-0.0461) q[3];
rx(0.3968) q[4];
rz(0.0404) q[4];
rx(0.3015) q[5];
rz(-0.0439) q[5];
rx(0.3786) q[6];
rz(-0.0186) q[6];
rx(0.3944) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
0544aa413865c48491d65699e643b115 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target":... | {"states": [0, 272], "expectation_value": -17.004075504106908, "params": [-0.10640000000000001, 0.094, -0.0816, -0.0182, -0.0077, 0.3183, -0.0019, 0.31320000000000003, 0.23770000000000002, -0.0063, 0.2225, -0.0024000000000000002, 0.0024000000000000002, 0.3054, -0.005, 0.37620000000000003, -0.0051, 0.3023, 0.00420000000... | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(0)) + -0.5 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(5)) + -0.75 * (Z(10) @ Z(0)) + -1.5 * (Z(10) @ Z(5)) + -0.5 * (Z(10) @ Z(9)) + 2.5 * (Z(2) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(8) @ Z(4)) + -1.0 * (Z(8) @ Z(5)) + -0.75 * (Z(8) @ Z(9)) + -0.75 * (Z(... | 6 | 11 | 3 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["11011101111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.1064) q[0];
rz(0.094) q[0];
rx(-0.0077) q[1];
rz(0.3183) q[1];
rx(0.2377) q[2];
rz(-0.0063) q[2];
rx(0.0024) q[3];
rz(0.3054) q[3];
rx(-0.0051) q[4];
rz(0.3023) q[4];
rx(0.0007) q[5];
rz(0.3752) q[5];
rx(0.3221) q[6];
rz(0.0023) q[6];
rx(-0.0015) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
35b68271249f28243bae707d8ab4258d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 7},... | {"states": [248, 2040], "expectation_value": -27.873384559190452, "params": [[[-0.0021000000000000003, 0.0006000000000000001], [0.0019, 0.0026000000000000003], [1.4752, 0.00030000000000000003], [0.0019, 0.0036000000000000003], [-0.0021000000000000003, 0.0002], [-0.0027, 0.004], [0.0022, 0.001], [1.7126000000000001, 0.0... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(7) @ Z(5)) + -2.5 * (Z(7) @ Z(3)) + -2.5 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(7)) + -2.5 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(3)) + -2.5 * (Z(6) @ Z(7)) + 1.0 * (Z(6) @ Z(4)) + -2.0 * (Z(8) @ Z(9)) + -2... | 2 | 11 | 1 | {"smallest_eigenvalues": [-31.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["00000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0021) q[0];
rz(0.0006) q[0];
rx(0.0019) q[1];
rz(0.0026) q[1];
rx(1.4752) q[2];
rz(0.0003) q[2];
rx(0.0019) q[3];
rz(0.0036) q[3];
rx(-0.0021) q[4];
rz(0.0002) q[4];
rx(-0.0027) q[5];
rz(0.004) q[5];
rx(0.0022) q[6];
rz(0.001) q[6];
rx(1.7126) 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] x2;
input float[64] x3;
input float[6... | {"node": 9} | {"circuits": [], "gradients": []} |
44e8495c1eeae4e26ce46cf2532bece4 | 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": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 7, "source": 0, "target": 6... | {"states": [33, 41], "expectation_value": -22.390695361218082, "params": [[[0.0029000000000000002, 0.871], [1.5752000000000002, 0.0031000000000000003], [0.0027, 1.3157], [-0.8325, -0.0001], [0.0026000000000000003, 1.2382], [0.0028, 1.3332000000000002], [1.5648, 0.0031000000000000003]], [[0.0029000000000000002, 0.006900... | -1.25 * (Z(0) @ Z(2)) + -1.75 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -1.75 * (Z(4) @ Z(2)) + -1.75 * (Z(4) @ Z(0)) + 4.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 3.0 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-23.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["1010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0029) q[0];
rz(0.871) q[0];
rx(1.5752) q[1];
rz(0.0031) q[1];
rx(0.0027) q[2];
rz(1.3157) q[2];
rx(-0.8325) q[3];
rz(-0.0001) q[3];
rx(0.0026) q[4];
rz(1.2382) q[4];
rx(0.0028) q[5];
rz(1.3332) q[5];
rx(1.5648) q[6];
rz(0.0031) q[6];
rx(0.0029) q[0];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
4741113104597698581 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 2, 4, 5, 7, 8, 11], [0, 1, 2, 3, 4, 6, 7, 8, 12], [0, 1, 3, 4, 5, 7, 8, 9, 10, 11, 12], [1, 2, 11, 7], [1, 2, 4, 5, 6, 8, 9, 10, 12], [3, 5, 6, 8, 9, 11], [0, 1, 2, 4, 5, 7, 8, 10], [0, 4, 5, 6, 7, 11, 12], [1, 6, 7, 8, 9, 10, 11], [1, 2, 4, 6, 9,... | {"states": [3995, 3991], "expectation_value": -3.0374177257131714, "params": [-0.0091, -0.0, 0.0137, 0.0006000000000000001, 1.7759, -0.0043, 1.2656, 0.009300000000000001, 1.5705, 0.0024000000000000002, 1.5661, 0.0004, 1.2356, -0.0181, 1.1589, 0.0303, 1.5699, -0.0024000000000000002, 1.5659, 0.0045000000000000005, 1.6101... | 0.09722222222222221 * (Z(0) @ Z(2)) + 0.1111111111111111 * (Z(4) @ Z(2)) + 0.11226551226551226 * (Z(4) @ Z(0)) + 0.05555555555555555 * (Z(5) @ Z(2)) + 0.07456709956709956 * (Z(5) @ Z(0)) + 0.09956709956709957 * (Z(5) @ Z(4)) + 0.2222222222222222 * (Z(7) @ Z(2)) + 0.08845598845598845 * (Z(7) @ Z(0)) + 0.0995670995670995... | 8 | 13 | 1 | {"smallest_eigenvalues": [-3.1291125541125537], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.110930735930736, "smallest_bitstrings": ["1000001101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(-0.0091) q[0];
rz(0) q[0];
rx(1.7759) q[1];
rz(-0.0043) q[1];
rx(1.5705) q[2];
rz(0.0024) q[2];
rx(1.2356) q[3];
rz(-0.0181) q[3];
rx(1.5699) q[4];
rz(-0.0024) q[4];
rx(1.6101) q[5];
rz(0.0022) q[5];
rx(-0.0044) q[6];
rz(-2.1048) q[6];
rx(1.7441) 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": []} |
0736b1161a5a600a3b5b1b2ae725bcb7 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [1, 193], "expectation_value": -12.001085284107736, "params": null, "bitstrings": ["111111110", "100111110"], "total_optimization_steps": 48, "probabilities": [0.24863352149728243, 0.7512270183743586], "optimization_time": 68.36865425109863} | -0.75 * (Z(0) @ Z(6)) + -1.0 * (Z(1) @ Z(6)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(8)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @... | 1 | 9 | 2 | {"smallest_eigenvalues": [-12.25, -12.25, -12.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -11.25, "smallest_bitstrings": ["100000000", "100000100", "100111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.5708) q[6];
ry(-1.5708) q[5];
ry(-1.5708) q[3];
ry(-1.5708) q[7];
ry(-1.5708) q[4];
ry(-1.5681) q[0];
ry(1.5681) q[8];
cry(1.4449) q[2], q[1];
cry(1.218) q[1], q[2];
cry(0.0842) q[8]... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
d30c0386d8d3b385abfc19e03f7b5ca3 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [14, 13], "expectation_value": -4.496464044051204, "params": null, "bitstrings": ["110001", "110010"], "total_optimization_steps": 25, "probabilities": [0.06634810230018152, 0.9303665171788271], "optimization_time": 19.502207279205322} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["110001", "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];
ry(-1.5708) q[1];
ry(-1.5681) q[0];
ry(1.4449) q[3];
ry(1.4449) q[2];
cry(-1.0342) q[5], q[4];
ry(0.7003) q[5];
ry(-0.4549) q[4];
cry(0.4963) q[3], q[5];
cry(-0.3789) q[3], q[4];
cry(0.2489) q[2], q[5];
cry(-0.14... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
e4c65d82be0d39aa5a43dd21b25413c9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 11, "source": 1, "target": 5}, {"weight": 1... | {"states": [158, 122], "expectation_value": -8.920809605083381, "params": [[-0.0475], [0.061200000000000004]], "bitstrings": ["01100001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.00654152348982504, 0.007312394574735457], "optimization_time": 2.704465866088867} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) @ Z(4)) + 3.5 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.3325) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.3325) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.3325) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(-0.3325) q[3];
cx q[2], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
1f4bbfe7446d68943a04b00ebacd5a62 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 3}, {"source": 3, "target": 4}, {"source": 4, "target": 6}]} | {"states": [54, 59], "expectation_value": -4.240627747574594, "params": null, "bitstrings": ["1001001", "1000100"], "total_optimization_steps": 36, "probabilities": [0.08262566223498526, 0.8263846024562964], "optimization_time": 27.817478895187378} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.0 * Z(1) + -1.5 * Z(0) + 0.0 * Z(2) + 0.0 * Z(5) + -0.5 * Z(3) + -0.5 * Z(4) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["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(-1.5708) q[0];
cry(-1.4449) q[6], q[4];
ry(1.4449) q[2];
ry(1.4449) q[1];
ry(1.4449) q[5];
ry(0.8256) q[6];
ry(-0.5508) q[4];
cry(1.321) q[6], q[3];
cry(0.4133) q[5], q[6];
cry(-0.1332) q[3], q[4];
ry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... |
-8681032418437515509 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 6], [0, 6], [1, 3], [0, 7], [1, 4], [2, 4], [3, 5]]} | {"states": [230, 103], "expectation_value": -3.07939937938768, "params": null, "bitstrings": ["00011001", "10011000"], "total_optimization_steps": 64, "probabilities": [0.09493413637583979, 0.738153403779213], "optimization_time": 82.50391745567322} | 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(7) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["10011000", "01100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[6], q[3];
cry(-1.0342) q[2], q[4];
ry(1.3762) q[1];
cry(-0.7081) q[5], q[3];
ry(1.0162) q[6];
cry(-1.382) q[7], q[0];
cry(1.1525) q[6], q[5];
ry(-0.5) q[3];
ry(0.8073) q[7];
cry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[6], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
7d2e8354bbcbc456262414017816878c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [33, 82], "expectation_value": -2.455360952123546, "params": [[-0.07880000000000001, -0.0673, -0.0658], [0.0811, 0.0718, 0.0654]], "bitstrings": ["1011110", "0101101"], "total_optimization_steps": 10, "probabilities": [0.01732419674039279, 0.019979198274687596], "optimization_time": 5.664169788360596} | 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(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["0101101"]} | 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(-0.0788) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0788) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0788) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.0788) q[4];
cx q[1], q[4];
cx q[0], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
cb501fbff3a682356b0923a44dd89d95 | 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": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [96, 100], "expectation_value": -7.691005652662532, "params": [0.0033, -0.24960000000000002, 0.004, -0.24810000000000001, 0.3925, 0.0016, 0.39480000000000004, -0.004, 0.393, -0.0039000000000000003, 0.39330000000000004, -0.0015, 0.1085, 0.10160000000000001, 0.10590000000000001, 0.09430000000000001, -0.0042000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) ... | 7 | 8 | 4 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["10001111", "10011011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0033) q[0];
rz(-0.2496) q[0];
rx(0.3925) q[1];
rz(0.0016) q[1];
rx(0.393) q[2];
rz(-0.0039) q[2];
rx(0.1085) q[3];
rz(0.1016) q[3];
rx(-0.0042) q[4];
rz(0.2407) q[4];
rx(0.2741) q[5];
rz(0.0118) q[5];
rx(-0.0052) q[6];
rz(0.2213) q[6];
rx(0.0055) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
93141c357d164fcf2a36ba666f8f01e3 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 2, "target": 3}, {"source": 1, "target": 3}]} | {"states": [3499, 3485], "expectation_value": -2.063723271664977, "params": [[0.06430000000000001, 0.0443, 0.054400000000000004, 0.0745], [-0.06770000000000001, -0.039, -0.0368, -0.0534]], "bitstrings": ["001001010100", "001001100010"], "total_optimization_steps": 10, "probabilities": [0.0006976905539484573, 0.00069769... | 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 | 4 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.75, "smallest_bitstrings": ["100100001010", "001001100010", "010010100001", "010010001100", "001001010100", "100100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(0.0643) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0643) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0643) q[2];
cx q[0], q[2];
cx q[0], q[6];
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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
-886647577428346885 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 1, 6], [1, 3], [8, 2], [2, 11], [8, 0, 6], [0, 10, 4], [1, 5], [8, 11, 7], [11, 3], [5, 7], [9, 1], [1, 2], [0, 10, 7]]} | {"states": [3878, 3366], "expectation_value": -4.858596203861613, "params": [[0.0731, 0.8868, 0.0159, 1.8025, 0.0016, 0.0023, 2.0622000000000003, 0.0014, -0.2983, 0.23420000000000002, 0.8268000000000001, -0.0019], [2.3012, 2.2532, 1.478, 1.3443, 0.0025, 0.0024000000000000002, 1.0896000000000001, 0.0032, 0.3278000000000... | 0.16666666666666666 * (Z(10) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(1)) + 0.3333333333333333 * (Z(8) @ Z(10)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(10)) + 0.16666666666666666 * (Z(3) @ Z(10)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(10)) + 0.16666666666666... | 10 | 12 | 1 | {"smallest_eigenvalues": [-5.333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.000000000000001, "smallest_bitstrings": ["001011011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0731) q[0];
ry(0.8868) q[1];
ry(0.0159) q[2];
ry(1.8025) q[3];
ry(0.0016) q[4];
ry(0.0023) q[5];
ry(2.0622) q[6];
ry(0.0014) q[7];
ry(-0.2983) q[8];
ry(0.2342) q[9];
ry(0.8268) q[10];
ry(-0.0019) q[11];
cz q[11], q[10];
cz q[10], q[9];
cz q[9], q[8];
cz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
681317cce116b7c317d2d1166a0937e1 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [142, 206], "expectation_value": -1.2350357822652143, "params": [0.3234, 0.1095, 0.44480000000000003, 0.11370000000000001, 0.42810000000000004, 0.1018, -0.0037, 0.3899, 0.30010000000000003, 0.1068, 0.4602, 0.1153, 0.46380000000000005, 0.0874, 0.5024000000000001, 0.001, 0.3544, -0.033, 0.3261, 0.1093000000000... | 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(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(0) @ Z(7)) + 0.25 * (Z(5) @ Z(1))... | 18 | 9 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.25, "smallest_bitstrings": ["001101010", "010110001", "011110000", "100110001", "001111000", "110100100", "100101100", "100101001", "1001... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3234) q[0];
rz(0.1095) q[0];
rx(0.4448) q[1];
rz(0.1137) q[1];
rx(0.4281) q[2];
rz(0.1018) q[2];
rx(-0.0037) q[3];
rz(0.3899) q[3];
rx(0.3001) q[4];
rz(0.1068) q[4];
rx(0.4602) q[5];
rz(0.1153) q[5];
rx(0.4638) q[6];
rz(0.0874) q[6];
rx(0.5024) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | null | {"circuits": [], "gradients": []} |
-8299261858814016363 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[4, 5], [1, 2], [3, 5, 6], [0, 3]]} | {"states": [83, 99], "expectation_value": -0.6807259804599278, "params": [[0.4025], [-0.39580000000000004]], "bitstrings": ["0101100", "0011100"], "total_optimization_steps": 50, "probabilities": [0.025104233643802463, 0.025104233643802463], "optimization_time": 1.2396023273468018} | 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.16666666666666663 * Z(5) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(1) + 0.16666666666666663 * Z(3) + 0.16666666666666666 * Z(6) + 0.0 * Z(0) | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8333333333333337, -1.8333333333333337], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.8333333333333333, "smallest_bitstrings": ["0101100", "0011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[4];
rz(0.4025) q[4];
cx q[5], q[4];
cx q[2], q[1];
rz(0.4025) q[1];
cx q[2], q[1];
cx q[5], q[3];
rz(0.1342) q[3];
cx q[5], q[3];
cx q[5], q[6];
rz(0.1342) q[6];
cx q[5], q[6];
cx q[3], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[5], q[3];
rz(x1) q[3];
cx q[5], q... | null | {"circuits": [], "gradients": []} |
-4344597050481672989 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 6], [0, 2, 5], [2, 6], [0, 1, 3], [0, 4, 5, 7], [8, 2, 4], [0, 2, 7], [8, 1], [0, 8, 7], [2, 3, 4, 5]]} | {"states": [464, 466], "expectation_value": -3.1339840861533745, "params": null, "bitstrings": ["000101111", "000101101"], "total_optimization_steps": 53, "probabilities": [0.26555247085033246, 0.6181025767530255], "optimization_time": 107.58514976501465} | 0.5 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.25 * (Z(2) @ Z(4)) + 0.3333333333333333 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(4)) + 0.1666666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.1666666666666665, "smallest_bitstrings": ["000101101", "010001110"]} | 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(1.5547) q[0];
ry(1.2292) q[4];
cry(-1.4328) q[4], q[6];
ry(1.4716) q[2];
cry(-1.219) q[1], q[8];
ry(0.7591) q[1];
cry(-0.5182) q[0], q[8];
cry(-1.0103) q[4], q[5];
cry(0.507) q[0], q[1]... | 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(1.5547) 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] = m... |
6abee49f932c3a6c555bdb36f64160a1 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [543, 31], "expectation_value": -24.722773118413734, "params": null, "bitstrings": ["10111100000", "11111100000"], "total_optimization_steps": 100, "probabilities": [0.13029210246254452, 0.32107031416936643], "optimization_time": 296.64559030532837} | -2.5 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -3.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 1.5 * (Z(3) @ Z(2)) + -3.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(2)) + -3.0 * (Z(4) @ Z(3)) + 1.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(3)) + -3.0 * (Z(5) @ Z(4)) + -2.0... | 1 | 11 | 1 | {"smallest_eigenvalues": [-40.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.0, "smallest_bitstrings": ["11111100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
ry(-1.5709) q[2];
ry(-0.069) q[4];
cry(-1.4844) q[0], q[4];
ry(-1.567) q[1];
ry(-0.0365) q[3];
cry(-0.9359) q[0], q[3];
cry(-1.5708) q[0], q[5];
cry(-0.7829) q[10], q[3]... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nry(-1.5709) 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] = m... |
b10e647670f759bc4f3dd1387515cbab | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "... | {"states": [1386, 2709], "expectation_value": -0.3058466899169297, "params": [[0.41100000000000003], [-0.4031]], "bitstrings": ["101010010101", "010101101010"], "total_optimization_steps": 50, "probabilities": [0.0007508271915671667, 0.0007508271915671669], "optimization_time": 5.92071795463562} | 0.25 * (Z(0) @ Z(1)) + -0.0007653061224489797 * (Z(2) @ Z(0)) + -0.0007653061224489797 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0012755102040816328 * (Z(4) @ Z(0)) + -0.0007653061224489797 * (Z(4) @ Z(2)) + -0.0012755102040816328 * (Z(5) @ Z(1)) + -0.0007653061224489797 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.5150510204081633], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5150510204081629, "smallest_bitstrings": ["010101101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(0.2055) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0006) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0006) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
8777ff3c42e14a86c796b9915ca51225 | 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": 9, "source": 0, "t... | {"states": [110, 109], "expectation_value": -19.801947678706604, "params": [[-0.037200000000000004, -0.0108, -0.0097], [0.0592, 0.045700000000000005, 0.039900000000000005]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.013682112376802525, 0.014249814693691139], "optimizati... | 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(5) @ Z(4)) + 4.5 * (Z(3) @ Z(5)) + 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(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 14.5 * Z(1) + 9.0 * Z(0) + 13.5 * ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.3348) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3348) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3348) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(-0.3348) q[4];
cx q[0], 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": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
1868412768826075099 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 5, 6], [4, 5], [1, 2, 3, 6], [0, 1, 2, 3, 4], [1, 2, 5, 6], [0, 1, 6], [0, 2, 3, 5, 6]]} | {"states": [124, 122], "expectation_value": -1.92266445993858, "params": null, "bitstrings": ["0000011", "0000101"], "total_optimization_steps": 43, "probabilities": [0.057297994768932, 0.8670510695457593], "optimization_time": 51.98134732246399} | 0.21666666666666667 * (Z(1) @ Z(3)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(3)) + 0.41666666666666663 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(5)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.18333333333333335 * (Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.9833333333333338], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8166666666666673, "smallest_bitstrings": ["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];
ry(1.5218) q[1];
ry(0.9869) q[3];
cry(-1.0225) q[5], q[4];
ry(0.8293) q[5];
ry(-0.5587) q[4];
cry(0.4844) q[1], q[5];
cry(-0.8001) q[2], q[6];
cry(-0.3468) q[1], q[4];
ry(0.6775) q[0];
cry(-0.6893) q[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[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", "... |
82fc98777a2a95e4438cd970019d035f | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [1253, 1221], "expectation_value": -95.18376199964206, "params": [2.798, 0.0049, 0.0024000000000000002, 0.0081, 0.8869, 0.0082, 2.8040000000000003, 0.0085, 2.7987, 0.0027, 1.5353, 0.0097, 0.0022, 0.0023, 0.0029000000000000002, 0.0043, 2.8082000000000003, 0.0032, -0.002, 0.0077, 2.0699, 0.0026000000000000003,... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(4) @ Z(2)) + 8.0 * (Z(5) @ Z(3)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(7) @ Z(0)) + 8.0 * (Z(6) @ Z(8)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(10) @ Z(3)) + 8.0 * (Z(10) @ Z(5)) + -4.5 * Z(1) + 7.0 * Z(0) + 4.0 * Z(2) + 15.5 * Z(3) + 9.5 * Z(4) + 13.0 * Z(5) + -6.5 * Z(7) + 6.0... | 18 | 11 | 1 | {"smallest_eigenvalues": [-115.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -108.0, "smallest_bitstrings": ["01100111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(2.798) q[0];
rz(0.0049) q[0];
rx(0.0024) q[1];
rz(0.0081) q[1];
rx(0.8869) q[2];
rz(0.0082) q[2];
rx(2.804) q[3];
rz(0.0085) q[3];
rx(2.7987) q[4];
rz(0.0027) q[4];
rx(1.5353) q[5];
rz(0.0097) q[5];
rx(0.0022) q[6];
rz(0.0023) q[6];
rx(0.0029) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
3d48be966ec63d77ff020a1223ab7d08 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 3, "s... | {"states": [33, 161], "expectation_value": -2.8383687250036425, "params": [[0.1573], [-0.14700000000000002]], "bitstrings": ["111011110", "101011110"], "total_optimization_steps": 20, "probabilities": [0.006429464344850009, 0.006617874041405125], "optimization_time": 3.511070728302002} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(2)) + -0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(4)) + 2.25 * (Z(8) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(7)) + -0.75 * (Z(3) @ Z(8)) + -0.5 * (Z(6) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-12.5, -12.5, -12.5, -12.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -11.5, "smallest_bitstrings": ["111011110", "111010110", "101011110", "101010110"]} | 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(-0.1573) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2359) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0786) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(-0.1573) 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] 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 ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
5f59fc9d0aa0f9e4890b3d6228f2f57a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 3, "s... | {"states": [223, 255], "expectation_value": -10.560737178922388, "params": null, "bitstrings": ["100100000", "100000000"], "total_optimization_steps": 98, "probabilities": [0.4267913307433243, 0.4267913307433243], "optimization_time": 208.71451258659363} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(2)) + -1.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(6)) + 1.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-11.0, -11.0, -11.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.0, "smallest_bitstrings": ["100000000", "111111110", "100100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5708) q[6];
ry(1.5708) q[2];
cry(1.5708) q[2], q[4];
ry(1.5708) q[1];
cry(1.5706) q[7], q[5];
ry(0.9552) q[7];
cry(1.5681) q[4], q[8];
ry(0.5237) q[5];
cry(0.4283) q[1], q[7];
cry(-1.... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
0f845fa738512ebb0107d1119c098372 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": ... | {"states": [0, 256], "expectation_value": -17.766568296635306, "params": [-0.0046, -0.0013000000000000002, 0.0008, 0.0078000000000000005, -0.0022, 0.0033, 0.2044, 0.2016, 0.004200000000000001, -0.0022, 0.0002, 0.0016, 0.0033, 0.0041, 0.001, -0.00030000000000000003, 0.002, 0.0002, -0.0011, 0.006, 0.0047, 0.0021000000000... | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(9) @ Z(0)) + -1.0 * (Z(11) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(9)) + -0.75 * (Z(4) @ Z(11)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(9)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(9)) + -0.75 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @... | 14 | 12 | 4 | {"smallest_eigenvalues": [-18.25, -18.25, -18.25, -18.25, -18.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -17.25, "smallest_bitstrings": ["100000000000", "111011111100", "111011111101", "111011111110", "111011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0046) q[0];
ry(0.0008) q[1];
ry(-0.0022) q[2];
ry(0.2044) q[3];
ry(0.0042) q[4];
ry(0.0002) q[5];
ry(0.0033) q[6];
ry(0.001) q[7];
ry(0.002) q[8];
ry(-0.0011) q[9];
ry(0.0047) q[10];
ry(0.0068) q[11];
crx(0.1235) q[11], q[0];
crx(0.1274) q[10], q[11];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
082b6c86bc8d553008a81e548bf0a65e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [510, 63], "expectation_value": -5.283176217699411, "params": [[-0.1607], [0.1766]], "bitstrings": ["000000001", "111000000"], "total_optimization_steps": 20, "probabilities": [0.007962571810921188, 0.008432745420049313], "optimization_time": 2.6069436073303223} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + -1.25 * (Z(7) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(7)) + -1.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -1.5 * (Z(3) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(3)) + 2.25 * (Z(8) @ Z(0)) + -1.75 * (Z(8... | 1 | 9 | 1 | {"smallest_eigenvalues": [-13.5, -13.5, -13.5, -13.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -12.5, "smallest_bitstrings": ["111111100", "111001000", "111000000", "111011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(0.2411) q[0];
cx q[2], q[0];
cx q[2], q[7];
rz(0.0804) q[7];
cx q[2], q[7];
cx q[0], q[7];
rz(0.4018) q[7];
cx q[0], q[7];
cx q[2], q[1];
rz(0.6428) q[1];
cx q[2], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
cf866b0685f0f2b92fc41e952765f334 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 3... | {"states": [31, 23], "expectation_value": -6.49998726393998, "params": null, "bitstrings": ["1100000", "1101000"], "total_optimization_steps": 36, "probabilities": [0.49999818069426316, 0.49999818069426316], "optimization_time": 31.045494318008423} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + -1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(2) + 0.25... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["1100000", "1101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5708) q[2];
cry(1.5681) q[2], q[5];
cry(1.5486) q[2], q[4];
cry(1.5681) q[2], q[6];
cry(-1.5706) q[2], q[0];
cry(-1.5681) q[2], q[1];
ry(0.0222) q[4];
cry(-0.0002) q[6], q[0];
cry(-0.0027) q[6], q[1]... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
104322869345210361 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 2, 7, 8, 9, 10], [2, 6, 7, 8, 9], [1, 2, 3, 4, 5, 6, 10], [1, 4, 6, 7, 10], [1, 2, 3, 4, 7], [1, 3, 6, 8, 9, 10], [0, 3, 4, 5, 7, 8, 9]]} | {"states": [1722, 1978], "expectation_value": -1.3020297431796044, "params": [1.3265, 0.0057, 1.3209, 0.009000000000000001, 1.5696, 0.0029000000000000002, 1.5657, 0.007200000000000001, 0.8049000000000001, -0.2937, 0.8409000000000001, 0.005200000000000001, 1.3247, -0.15430000000000002, 1.7926000000000002, 0.0047, 0.1106... | 0.10714285714285715 * (Z(1) @ Z(2)) + 0.13333333333333336 * (Z(7) @ Z(2)) + 0.13333333333333336 * (Z(7) @ Z(1)) + 0.08333333333333334 * (Z(8) @ Z(2)) + 0.06666666666666667 * (Z(8) @ Z(1)) + 0.10714285714285715 * (Z(8) @ Z(7)) + 0.08333333333333334 * (Z(9) @ Z(2)) + 0.06666666666666667 * (Z(9) @ Z(1)) + 0.10714285714285... | 7 | 11 | 1 | {"smallest_eigenvalues": [-1.3809523809523816, -1.3809523809523816, -1.3809523809523816, -1.3809523809523816], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.3809523809523812, "smallest_bitstrings": ["00001000101", "01000100010", "00001000011", "01000100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.3265) q[0];
rz(0.0057) q[0];
rx(1.5696) q[1];
rz(0.0029) q[1];
rx(0.8049) q[2];
rz(-0.2937) q[2];
rx(1.3247) q[3];
rz(-0.1543) q[3];
rx(0.1106) q[4];
rz(1.0981) q[4];
rx(1.9234) q[5];
rz(0.556) q[5];
rx(1.5714) q[6];
rz(0.0025) q[6];
rx(1.5753) 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": []} |
bbe36c72142a04c8b1698fed3f77c25c | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 3}, {"weight": 7, "source": 1, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 24, "source":... | {"states": [254, 238], "expectation_value": -3.946342952641631, "params": [0.49250000000000005, -0.18460000000000001, 0.49150000000000005, -0.2162, 0.7421, 0.042, 0.7522000000000001, 0.0267, 0.7705000000000001, 0.0345, 0.7684000000000001, 0.0392, 0.7615000000000001, 0.0412, 0.7645000000000001, 0.028900000000000002, 0.5... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 5 | 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": ["001010100", "001100010", "010001100", "010100001", "100010001", "100001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.4925) q[0];
rz(-0.1846) q[0];
rx(0.7421) q[1];
rz(0.042) q[1];
rx(0.7705) q[2];
rz(0.0345) q[2];
rx(0.7615) q[3];
rz(0.0412) q[3];
rx(0.5158) q[4];
rz(-0.1318) q[4];
rx(0.6839) q[5];
rz(0.0066) q[5];
rx(0.7592) q[6];
rz(0.0274) q[6];
rx(0.7297) 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[... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} |
4421c497e819297a0c75498974257550 | 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": 4, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 20, "source": 1, "target": 4}, {"weight": 15, "source": 1, "tar... | {"states": [228, 236], "expectation_value": -31.95434116845696, "params": null, "bitstrings": ["100011011", "100010011"], "total_optimization_steps": 100, "probabilities": [0.11080866571921213, 0.13523567582035137], "optimization_time": 186.18033981323242} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 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(1)) + 4.5 * (Z(8) @ Z(3)) + 10.0 * Z(1) + 6.5 * Z(0) + 16.5 * ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(0.1246) q[2];
ry(33.8963) q[3];
cry(10.9225) q[3], q[2];
ry(11.5233) q[5];
ry(-21.7935) q[7];
cry(-9.0727) q[3], q[7];
ry(2.5183) q[4];
cry(-7.6245) q[4], q[7];
ry(0.7551) q[0];
cry(3.9... | 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(0.1246) 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... |
cf9a1540b011355d554ff1ed574e9153 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 5}, ... | {"states": [164, 172], "expectation_value": -2.600053073130824, "params": [0.5995, 0.602, 0.12610000000000002, 0.12610000000000002, 0.5976, 0.603, 0.11040000000000001, 0.10930000000000001, 0.40940000000000004, 0.41450000000000004, 0.5979, 0.605, 0.0014, 0.002, 0.0036000000000000003, 0.0012000000000000001, 0.59720000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(7) @ Z(2)) + 0.12... | 13 | 8 | 2 | {"smallest_eigenvalues": [-3.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.625, "smallest_bitstrings": ["01010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.5995) q[0];
ry(0.1261) q[1];
ry(0.5976) q[2];
ry(0.1104) q[3];
ry(0.4094) q[4];
ry(0.5979) q[5];
ry(0.0014) q[6];
ry(0.0036) q[7];
crz(0.4439) q[7], q[0];
crz(0.4506) q[6], q[7];
crz(0.0102) q[5], q[6];
crz(0.0276) q[4], q[5];
crz(-0.2236) q[3], q[4];
crz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
925684533b4e31edada01d4959cea14e | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [185, 57], "expectation_value": -5.236375023535458, "params": [0.1484, -0.056900000000000006, 0.14200000000000002, -0.057100000000000005, 0.0007, 0.15860000000000002, 0.0051, 0.18180000000000002, 0.3042, 0.0002, 0.3032, 0.0426, 0.257, 0.0076, 0.2564, 0.0026000000000000003, 0.30670000000000003, -0.0001, 0.304... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * Z(3) + -1.0 * Z(0) + -2.0 * Z(5) + -2.0 * Z(6) + ... | 7 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["01010110", "11000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.1484) q[0];
rz(-0.0569) q[0];
rx(0.0007) q[1];
rz(0.1586) q[1];
rx(0.3042) q[2];
rz(0.0002) q[2];
rx(0.257) q[3];
rz(0.0076) q[3];
rx(0.3067) q[4];
rz(-0.0001) q[4];
rx(-0.0027) q[5];
rz(0.1839) q[5];
rx(0.0047) q[6];
rz(0.1564) q[6];
rx(0.3065) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
875432ff472df3f44dd39cf730465f12 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6},... | {"states": [2047, 1023], "expectation_value": -2.6091821632321293, "params": [[-0.059800000000000006], [0.06570000000000001]], "bitstrings": ["00000000000", "10000000000"], "total_optimization_steps": 10, "probabilities": [0.0010862950812816153, 0.00110345670356154], "optimization_time": 3.8114593029022217} | -2.5 * (Z(1) @ Z(3)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(1)) + -2.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(4)) + -2.5 * (Z(2) @ Z(3)) + 1.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(5)) + -2.5 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(7)) + -2.5 * (Z(8) @ Z(6)) + 1.0 * (Z(9) @ Z(7)) + -2... | 1 | 11 | 1 | {"smallest_eigenvalues": [-37.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -36.0, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[3], q[1];
rz(0.299) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(0.299) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(0.2392) q[4];
cx q[1], q[4];
cx q[3], q[5];
rz(0.299) q[5];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[3... | {"node": 1} | {"circuits": [], "gradients": []} |
-677105388646429783 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 3, 4, 6, 7, 10, 11], [0, 1, 2, 5, 6, 7, 8, 9], [0, 2, 3, 7, 8, 10], [0, 3, 5, 6, 8, 9, 10, 11], [0, 1, 4, 5, 6, 8, 9, 11], [0, 2, 4, 8, 9], [0, 4, 5, 7, 8, 9, 10], [8, 2, 4, 6], [0, 1, 2, 3, 5, 7, 9, 10], [0, 1, 2, 3, 5, 6, 7, 11], [0, 6, 7, 9, 10, 11... | {"states": [1532, 1534], "expectation_value": -2.420983054989021, "params": [[[0.0079, 0.0043, 0.0098, 0.0055000000000000005], [1.4715, -0.0018000000000000002, 0.8324, 0.0007], [0.8662000000000001, 0.0099, 0.0086, 0.0035], [-0.0027, -0.653, 1.5682, 0.008700000000000001], [3.1446, 0.0079, 0.0006000000000000001, 0.0081],... | 0.11071428571428571 * (Z(0) @ Z(3)) + 0.023809523809523808 * (Z(4) @ Z(3)) + 0.11547619047619048 * (Z(4) @ Z(0)) + 0.05952380952380952 * (Z(6) @ Z(3)) + 0.12857142857142856 * (Z(6) @ Z(0)) + 0.125 * (Z(6) @ Z(4)) + 0.09285714285714286 * (Z(7) @ Z(3)) + 0.16785714285714284 * (Z(7) @ Z(0)) + 0.06547619047619047 * (Z(7) @... | 12 | 12 | 1 | {"smallest_eigenvalues": [-2.6273809523809515], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.59047619047619, "smallest_bitstrings": ["101000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0079) q[0];
rz(0.0043) q[0];
ry(1.4715) q[1];
rz(-0.0018) q[1];
ry(0.8662) q[2];
rz(0.0099) q[2];
ry(-0.0027) q[3];
rz(-0.653) q[3];
ry(3.1446) q[4];
rz(0.0079) q[4];
ry(-0.0028) q[5];
rz(0.7633) q[5];
ry(3.1442) q[6];
rz(0.0003) q[6];
ry(-0.0022) 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": []} |
a887d91f9606dc8ffadccd46fa1ed57b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 2}, {"capaci... | {"states": [23, 17], "expectation_value": -0.4991708053143052, "params": [[-0.057800000000000004], [0.060200000000000004]], "bitstrings": ["101000", "101110"], "total_optimization_steps": 10, "probabilities": [0.01875810481559699, 0.01911177252550294], "optimization_time": 1.2418842315673828} | -1.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + 3.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(3)) + -2.0 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 1.5 * Z(5) + 1.0 * Z(1) + -0.75 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.1734) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.1445) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(-0.3468) q[5];
cx q[0], q[5];
cx q[3], q[5];
rz(0.1156) q[5];
cx q[3], q[5];
cx q[2], q[1];
rz(0.057... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
-8838397356812183790 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 11, 4, 7], [0, 4, 5, 6, 7, 8, 9, 10, 11], [0, 1, 2, 4, 5, 6], [1, 2, 3, 6, 7, 8, 9, 10, 11], [0, 1, 5, 9, 10, 11], [1, 2, 3, 4, 6, 11], [0, 1, 2, 5, 9, 11], [8, 9, 2, 4], [0, 1, 2, 3, 6, 7, 8, 11], [0, 1, 3, 5, 6, 7, 8, 10, 11], [0, 2, 3, 4, 5, 8, 11]... | {"states": [1982, 1978], "expectation_value": -2.47909850020546, "params": [[[1.1801000000000001, 0.4277, 0.004, 0.0043], [0.7110000000000001, 0.4277, 0.336, 0.008], [1.1975, -0.029500000000000002, 1.1989, 0.0045000000000000005], [0.8354, -0.33790000000000003, 0.5371, 0.0053], [1.189, 0.0162, 1.1899, 0.0078000000000000... | 0.24841269841269836 * (Z(4) @ Z(3)) + 0.1722222222222222 * (Z(6) @ Z(3)) + 0.3916666666666666 * (Z(6) @ Z(4)) + 0.16785714285714284 * (Z(9) @ Z(3)) + 0.17341269841269838 * (Z(9) @ Z(4)) + 0.21388888888888885 * (Z(9) @ Z(6)) + 0.16507936507936505 * (Z(0) @ Z(3)) + 0.13730158730158729 * (Z(0) @ Z(4)) + 0.1388888888888889... | 11 | 12 | 1 | {"smallest_eigenvalues": [-3.6130952380952377], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5988095238095217, "smallest_bitstrings": ["100001000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.1801) q[0];
rz(0.4277) q[0];
ry(0.711) q[1];
rz(0.4277) q[1];
ry(1.1975) q[2];
rz(-0.0295) q[2];
ry(0.8354) q[3];
rz(-0.3379) q[3];
ry(1.189) q[4];
rz(0.0162) q[4];
ry(1.1938) q[5];
rz(0.3293) q[5];
ry(1.1924) q[6];
rz(0.0308) q[6];
ry(0.7851) 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": []} |
2783967b1611213b3e7795654a08824b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [123, 91], "expectation_value": -1.5648605739279446, "params": [0.3866, 0.5774, 0.3766, 0.6855, 0.996, -0.1136, 0.7611, 0.07780000000000001, 0.9993000000000001, 0.2204, 1.0024, 0.0092, 0.0029000000000000002, -0.7205, 1.0047000000000001, 0.0027, 1.0030000000000001, 0.0004, 0.37620000000000003, 0.0062000000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(0) @ Z(2) @ Z(7)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(8) @ Z(3)) + 0.12... | 16 | 9 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.375, "smallest_bitstrings": ["010100110", "011000101", "011000110", "010010110", "100100101", "011100100", "011001100", "100... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3866) q[0];
rz(0.5774) q[0];
rx(0.3766) q[1];
rz(0.6855) q[1];
rx(0.996) q[2];
rz(-0.1136) q[2];
rx(0.7611) q[3];
rz(0.0778) q[3];
rx(0.9993) q[4];
rz(0.2204) q[4];
rx(1.0024) q[5];
rz(0.0092) q[5];
rx(0.0029) q[6];
rz(-0.7205) q[6];
rx(1.0047) 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": []} |
d7c6790c5da24a95b7d7ccc603696be1 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [3819, 3811], "expectation_value": -2.093726370469842, "params": [[[1.9081000000000001, 0.0085], [1.9020000000000001, 0.0027], [1.8979000000000001, 0.0082], [-0.002, 0.0057], [1.9092, 0.0], [1.9008, 0.0078000000000000005], [1.9091, 0.0077], [1.0828, 0.0098], [1.4945000000000002, 0.006], [-0.0025, 0.0041], [1... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (... | 1 | 12 | 1 | {"smallest_eigenvalues": [-5.1875], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.1875, "smallest_bitstrings": ["000100011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.9081) q[0];
rz(0.0085) q[0];
rx(1.902) q[1];
rz(0.0027) q[1];
rx(1.8979) q[2];
rz(0.0082) q[2];
rx(-0.002) q[3];
rz(0.0057) q[3];
rx(1.9092) q[4];
rz(0) q[4];
rx(1.9008) q[5];
rz(0.0078) q[5];
rx(1.9091) q[6];
rz(0.0077) q[6];
rx(1.0828) q[7];
rz(0.0098... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
1cf62c7ab33fc7566dad05641a882509 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [88, 81], "expectation_value": -5.496464078848119, "params": null, "bitstrings": ["0100111", "0101110"], "total_optimization_steps": 29, "probabilities": [0.06634840540307821, 0.930366246109199], "optimization_time": 25.19155526161194} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(5) + -1.0 * Z(2) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["0101110", "0100111", "1011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[1];
ry(-1.5708) q[5];
ry(-1.5681) q[4];
ry(1.4449) q[0];
ry(1.4449) q[2];
cry(-1.0343) q[6], q[3];
ry(0.7003) q[6];
ry(-0.4549) q[3];
cry(0.4963) q[2], q[6];
cry(-0.3789) q[2], q[3];
cry(0.2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
d55d504e597705d8581d37ec0d2e41ca | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 1, "target": 6... | {"states": [45, 63], "expectation_value": -4.247536484564604, "params": null, "bitstrings": ["1010010", "1000000"], "total_optimization_steps": 53, "probabilities": [0.2457050176544659, 0.7519615756918091], "optimization_time": 51.04851293563843} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + 0.75 * Z(1) + -0.25 * Z(0) + -0.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(2) + 0.75 * Z(3) + 0.25 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["1000000", "1010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5486) q[1];
ry(1.5486) q[3];
cry(1.5485) q[2], q[5];
ry(1.5485) q[4];
cry(1.4448) q[1], q[6];
cry(-1.4433) q[6], q[0];
cry(1.0458) q[5], q[2];
ry(0.0892) q[6];
cry(-0.1236) q[4], q[0];
ry(0.0761) q[2... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5486) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
68c7da6fdb681219b05150137870d7db | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}]} | {"states": [0, 1], "expectation_value": -2.8745419563734913, "params": [[[-0.0001, 0.30770000000000003], [0.0011, 0.4315], [0.0024000000000000002, 0.4379], [0.6099, 0.0034000000000000002]], [[-0.0079, 0.34340000000000004], [0.0044, 0.46680000000000005], [0.0039000000000000003, 0.45470000000000005], [0.6086, 0.003400000... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.25 * Z(3) | 1 | 4 | 3 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(-0.0001) q[0];
rz(0.3077) q[0];
rx(0.0011) q[1];
rz(0.4315) q[1];
rx(0.0024) q[2];
rz(0.4379) q[2];
rx(0.6099) q[3];
rz(0.0034) q[3];
rx(-0.0079) q[0];
rz(0.3434) q[0];
rx(0.0044) q[1];
rz(0.4668) q[1];
rx(0.0039) q[2];
rz(0.4547) q[2];
rx(0.6086) q[3];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
422319ba04d136ad73513dac1d0065c7 | 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": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capaci... | {"states": [1653, 1767], "expectation_value": -11.820373282054835, "params": [[-0.10200000000000001, -0.2364, -0.4132, -0.5961000000000001], [0.6437, 0.35900000000000004, 0.1888, 0.1358]], "bitstrings": ["100110001010", "100100011000"], "total_optimization_steps": 80, "probabilities": [0.051199833110038895, 0.056255085... | -1.0 * (Z(8) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(8)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(0) @ Z(8)) + -0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * ... | 1 | 12 | 4 | {"smallest_eigenvalues": [-12.875, -12.875, -12.875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -12.625, "smallest_bitstrings": ["100110001010", "100100011000", "100100000010"]} | 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[4], q[8];
rz(0.204) q[8];
cx q[4], q[8];
cx q[4], q[5];
rz(-0.102) q[5];
cx q[4], q[5];
cx q[8], q[5];
rz(0.102) q[5];
cx q[8], q[5];
cx q[4], q[6];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
cf37919d6a949ddf46d1ba52baad11a7 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, ... | {"states": [33, 97], "expectation_value": -4.640353621905973, "params": [[[1.6079, 0.008700000000000001], [1.7078, 0.0092], [-0.0028, 0.0092], [1.5319, 0.0097], [-0.0033, 0.0004], [-0.0024000000000000002, 0.0039000000000000003], [1.7140000000000002, 0.003]]], "bitstrings": ["1011110", "0011110"], "total_optimization_st... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ 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(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(2) + -1.5 * Z(0) + -1.5 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["0011110", "1010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.6079) q[0];
rz(0.0087) q[0];
rx(1.7078) q[1];
rz(0.0092) q[1];
rx(-0.0028) q[2];
rz(0.0092) q[2];
rx(1.5319) q[3];
rz(0.0097) q[3];
rx(-0.0033) q[4];
rz(0.0004) q[4];
rx(-0.0024) q[5];
rz(0.0039) q[5];
rx(1.714) q[6];
rz(0.003) q[6];
c[0] = measure q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} |
4cd28f9bc761b26f6d6f15aeccbaedea | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [14, 78], "expectation_value": -2.677078902663567, "params": [[[0.0256, 0.011600000000000001, 0.0028, 0.0039000000000000003], [0.9106000000000001, -0.0047, 0.8005, -0.004], [0.8798, 0.0035, -0.7647, 0.0046], [0.2484, 0.0059, 0.8991, 0.0049], [0.9005000000000001, 0.0044, 0.8991, 0.07930000000000001], [0.5631,... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(7) @ Z(1)) + 0.125 * (Z(6) @ Z(5)) + 0.125 * (Z(7) @ Z(5)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(6) @ Z(5) @ Z(1)) + -0.125 * (Z(7) @ Z(5) @ Z(1)) + -0.125 * (Z(6) @ Z(7) @ ... | 11 | 8 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.375, "smallest_bitstrings": ["10110100", "10110010", "10110001", "11011000", "11010001", "11001100", "10101100", "11110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.0256) q[0];
rz(0.0116) q[0];
ry(0.9106) q[1];
rz(-0.0047) q[1];
ry(0.8798) q[2];
rz(0.0035) q[2];
ry(0.2484) q[3];
rz(0.0059) q[3];
ry(0.9005) q[4];
rz(0.0044) q[4];
ry(0.5631) q[5];
rz(-0.003) q[5];
ry(0.684) q[6];
rz(-0.0225) q[6];
ry(-0.3225) 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": []} |
-5005985748861774082 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 5], [5, 6], [0, 1], [8, 6], [2, 3], [2, 4], [1, 7], [8, 4], [3, 4], [8, 1], [0, 7], [8, 2], [2, 7], [9, 2], [9, 7], [1, 2], [0, 8]]} | {"states": [214, 86], "expectation_value": -0.4925454558847028, "params": [0.6856, -0.0882, 0.6381, 0.004, 0.7061000000000001, 0.0031000000000000003, 0.7025, 0.0049, 0.6969000000000001, 0.005200000000000001, 0.6996, 0.0054, 0.7090000000000001, 0.0206, 0.7004, 0.0095, 0.6968000000000001, -0.017400000000000002, 0.6950000... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -3.5, "smallest_bitstrings": ["1110101001", "1110101000", "0010010110", "1100101001", "0101010111", "1101101001", "0101010011", "0101010110", "0001... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.6856) q[0];
rz(-0.0882) q[0];
rx(0.7061) q[1];
rz(0.0031) q[1];
rx(0.6969) q[2];
rz(0.0052) q[2];
rx(0.709) q[3];
rz(0.0206) q[3];
rx(0.6968) q[4];
rz(-0.0174) q[4];
rx(0.7052) q[5];
rz(0.0155) q[5];
rx(0.7026) q[6];
rz(-0.0133) q[6];
rx(0.7101) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
e7056fbb187e68baa5d05b0b9cb6a901 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [157, 109], "expectation_value": -0.003125719140773379, "params": [[-0.0167], [0.0149]], "bitstrings": ["01100010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.003933370926699901, 0.003933370926699902], "optimization_time": 4.240633726119995} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(0) @ Z(5) @ Z(4)) + -0.125 * (Z(4) @ Z(2) @ Z(5)) + 0.12... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["01100010", "10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.0167) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.0167) q[2];
cx q[3], q[2];
cx q[2], q[0];
rz(-0.0042) q[0];
cx q[2], q[0];
cx q[4], q[0];
rz(-0.0042) q[0];
cx q[4], q[0];
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;
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(x0) q[0];
cx q[1], q[0];
cx q[3], q[2]... | null | {"circuits": [], "gradients": []} |
dc8ac5f82febba9dcace181eb5c76eb3 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": ... | {"states": [58, 102], "expectation_value": -2.8905700275954436, "params": null, "bitstrings": ["1000101", "0011001"], "total_optimization_steps": 42, "probabilities": [0.08381860736615872, 0.6201950117718926], "optimization_time": 55.583540201187134} | 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(0) @ Z(3)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(1) @ Z(3) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["0011001", "1000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5681) q[6];
cry(-1.3016) q[4], q[2];
ry(1.3016) q[5];
cry(-1.298) q[0], q[3];
ry(1.015) q[1];
cry(-0.4699) q[0], q[2];
cry(0.8316) q[0], q[4];
cry(-0.4255) q[4], q[3];
cry(0.8476) q[4], q[0];
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(-1.5681) 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", ... |
d3afc618b7dbe8b32f310fdf84749e1a | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [169, 185], "expectation_value": -2.877277322060459, "params": [[-0.0118, 1.2074, -0.032100000000000004, 1.2039, 0.41340000000000005, 1.1962000000000002, 0.002, 0.0013000000000000002, 1.1624], [-0.0001, 0.8048000000000001, 0.003, 0.5850000000000001, -0.1287, 0.5604, 0.0018000000000000002, 0.00240000000000000... | 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(... | 10 | 9 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.375, "smallest_bitstrings": ["001110100", "001001110", "001010110", "001100110", "100000111", "100001110", "010001110", "101000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0118) q[0];
ry(1.2074) q[1];
ry(-0.0321) q[2];
ry(1.2039) q[3];
ry(0.4134) q[4];
ry(1.1962) q[5];
ry(0.002) q[6];
ry(0.0013) q[7];
ry(1.1624) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
0576f6308603f18731ff58dc6a3ed219 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [3414, 3422], "expectation_value": -2.8289452961842447, "params": [[[0.4718, 0.00030000000000000003], [0.7909, 0.0131], [0.0026000000000000003, 0.0033], [0.6103000000000001, 0.029], [0.042100000000000005, 0.0455], [0.9608000000000001, 0.0064], [0.25730000000000003, -0.0892], [0.1612, 0.7551], [0.921, 0.32030... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 15 | 12 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.4718) q[0];
ry(0.7909) q[1];
ry(0.0026) q[2];
ry(0.6103) q[3];
ry(0.0421) q[4];
ry(0.9608) q[5];
ry(0.2573) q[6];
ry(0.1612) q[7];
ry(0.921) q[8];
ry(0.188) q[9];
ry(0.4585) q[10];
ry(0.1166) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
feaf30b79c91a036f216c182772bdb1d | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 4, "target": 5}, {"sour... | {"states": [60, 252], "expectation_value": -0.3479950908571561, "params": [[-0.0434], [0.052000000000000005]], "bitstrings": ["11000011", "00000011"], "total_optimization_steps": 10, "probabilities": [0.004664324091504002, 0.0047472779739883356], "optimization_time": 0.5522868633270264} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(5) + -1.0 * Z(7) + -1.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["00000011"]} | 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(0.0868) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(0.1736) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(-0.0434) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(0.1736) q[4];
cx q[2], q[4];
cx q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x1) q[2];
cx q[3], q[2];
cx q[3], q... | {"node": 7} | {"circuits": [], "gradients": []} |
b8aaab24da0004c3e40ded7e0da30763 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [5, 1], "expectation_value": -9.49998088741361, "params": null, "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 18, "probabilities": [1.2623551093771558e-05, 0.9999867275426021], "optimization_time": 16.28097176551819} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(3)) + 2.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.5 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5) + 2.0 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5708) q[6];
ry(-1.5708) q[0];
ry(-1.5681) q[2];
ry(-1.5681) q[1];
ry(-1.5486) q[5];
ry(-1.5708) q[3];
ry(-1.4449) q[4];
cry(-0.1188) q[6], q[4];
cry(-0.0222) q[6], q[5];
cry(-0.0016) q[6], q[0];
cry(... | 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", "... |
b99f0e315d6c4ec38babd2628ecf87b6 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "s... | {"states": [27423, 27487], "expectation_value": -11.811680549316762, "params": [0.3739, 0.0021000000000000003, 0.3839, -0.021, 0.3698, 0.1223, 0.38120000000000004, 0.0008, -0.0045000000000000005, 0.3703, -0.0016, 0.3907, 0.35850000000000004, 0.045200000000000004, 0.3498, 0.053500000000000006, 0.2791, 0.2526, 0.254, 0.2... | -0.5 * (Z(9) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(9)) + -0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(5)) + -0.5 * (Z(10) @ Z(7)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(5)) + ... | 7 | 15 | 4 | {"smallest_eigenvalues": [-13.166666666666558], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.16666666666653, "smallest_bitstrings": ["001010010100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(0.3739) q[0];
rz(0.0021) q[0];
rx(0.3698) q[1];
rz(0.1223) q[1];
rx(-0.0045) q[2];
rz(0.3703) q[2];
rx(0.3585) q[3];
rz(0.0452) q[3];
rx(0.2791) q[4];
rz(0.2526) q[4];
rx(0.43) q[5];
rz(0.0435) q[5];
rx(0.3852) q[6];
rz(0.0025) q[6];
rx(0.0015) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
da3c81488557dc57e6e1f0bd43d65336 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [42, 41], "expectation_value": -2.999862368845878, "params": null, "bitstrings": ["010101", "010110"], "total_optimization_steps": 28, "probabilities": [1.7185116648684505e-05, 0.9999311603755043], "optimization_time": 18.636574506759644} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["010110", "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(-1.4449) q[1];
ry(-1.4449) q[4];
ry(-1.4449) q[3];
ry(1.4384) q[5];
ry(1.4384) q[2];
ry(1.4384) q[0];
cry(-0.1259) q[2], q[3];
cry(-0.1259) q[5], q[4];
cry(-0.1259) q[2], q[1];
cry(0.1248) q[5], q[0];
cry(0.12... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.4449) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
0baf743d2b6cfc8b6e600b5313918496 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 3}, {"capaci... | {"states": [1, 15], "expectation_value": -5.675579468999118, "params": null, "bitstrings": ["111110", "110000"], "total_optimization_steps": 37, "probabilities": [0.17610784862410456, 0.6204813298798018], "optimization_time": 25.094221353530884} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[1];
cry(-1.5681) q[5], q[0];
ry(1.1029) q[5];
ry(-0.5495) q[0];
cry(1.5626) q[4], q[3];
cry(1.2298) q[3], q[4];
cry(1.5486) q[3], q[2];
cry(0.3619) q[2], q[5];
ry(-0.4373) q[2];
cry(0.4548) q[4], 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];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
2147549698924339793 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[9, 3, 4, 7], [8, 10, 3, 6], [0, 2, 3, 4, 5, 7, 10], [0, 2, 4, 6, 7, 8, 10], [1, 3, 6, 7, 8, 9]]} | {"states": [1997, 1485], "expectation_value": -1.0444599760407431, "params": [2.0372, 1.1125, 0.9688, 0.7765000000000001, 1.5702, 1.5651000000000002, 2.9094, 3.3204000000000002, 0.5096, 2.2034000000000002, 1.9916, 1.1652, 1.0158, 0.42450000000000004, 1.5946, 1.5541, 1.6275000000000002, 1.5098, 1.5692000000000002, 1.567... | 0.11666666666666667 * (Z(10) @ Z(4)) + 0.10714285714285714 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(10)) + 0.14047619047619048 * (Z(8) @ Z(4)) + 0.11666666666666667 * (Z(8) @ Z(10)) + 0.13095238095238093 * (Z(8) @ Z(5)) + 0.11666666666666667 * (Z(9) @ Z(4)) + 0.03333333333333333 * (Z(9) @ Z(10)) + 0.0238095238... | 14 | 11 | 1 | {"smallest_eigenvalues": [-1.080952380952381, -1.080952380952381, -1.080952380952381, -1.080952380952381, -1.080952380952381, -1.080952380952381, -1.080952380952381, -1.080952380952381, -1.080952380952381], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -1.0809523809523809, "smallest_bitstrings": ["000100... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(2.0372) q[0];
ry(0.9688) q[1];
ry(1.5702) q[2];
ry(2.9094) q[3];
ry(0.5096) q[4];
ry(1.9916) q[5];
ry(1.0158) q[6];
ry(1.5946) q[7];
ry(1.6275) q[8];
ry(1.5692) q[9];
ry(1.541) q[10];
crx(-0.1003) q[10], q[0];
crx(0.0059) q[9], q[10];
crx(1.0643) q[8], 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": []} |
f619afa25c1921f996d128a1dfefef72 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [10, 8], "expectation_value": -2.24993851164622, "params": [0.0009000000000000001, 0.3129, 0.3925, -0.00030000000000000003, 0.0043, 0.30820000000000003, 0.39480000000000004, -0.0013000000000000002, 0.0016, -0.21660000000000001, 0.0058000000000000005, 0.2934, 0.3952, -0.0012000000000000001, -0.0004, 0.3024, 0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -0.75 * Z(0) + -0.25 * Z(1) + -0.75 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) | 18 | 5 | 4 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["11101", "10111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.0009) q[0];
rz(0.3129) q[0];
rx(0.3925) q[1];
rz(-0.0003) q[1];
rx(0.0043) q[2];
rz(0.3082) q[2];
rx(0.3948) q[3];
rz(-0.0013) q[3];
rx(0.0016) q[4];
rz(-0.2166) q[4];
crz(0.2149) q[4], q[0];
crz(0.008) q[3], q[4];
crz(-0.2976) q[2], q[3];
crz(0.0135) q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
65dcfe454b7ee3089a438819f0891890 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capac... | {"states": [149, 133], "expectation_value": -4.283127375702088, "params": [[0.15480000000000002], [-0.1501]], "bitstrings": ["1101101010", "1101111010"], "total_optimization_steps": 20, "probabilities": [0.0042043229165957124, 0.004535351802507711], "optimization_time": 3.036454439163208} | -1.0 * (Z(0) @ Z(6)) + -0.5 * (Z(4) @ Z(6)) + -1.25 * (Z(1) @ Z(4)) + -0.75 * (Z(5) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(5)) + -1.0 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + 1.25 * (Z(9) @ Z(0)) + -1.25 * (Z(9) @ Z(2)) + -1.0 * (Z(8) @ Z(6)) + -1.25 * (Z(8) @ Z(1)) + -0.25 * (Z(7) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["1101111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[6], q[0];
rz(-0.3096) q[0];
cx q[6], q[0];
cx q[6], q[4];
rz(-0.1548) q[4];
cx q[6], q[4];
cx q[4], q[1];
rz(-0.387) q[1];
cx q[4], q[1];
cx q[1], q[5];
rz(-0.2322) q[5];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
88db82b281e553a316057249c291c2f0 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [1706, 1722], "expectation_value": -2.3887553028878976, "params": [[0.7614000000000001, 1.3935, -0.028300000000000002, 1.2385000000000002, -0.1308, 1.1228, 0.5526, 1.1360000000000001, 0.0038, 1.3214000000000001, -0.1221], [0.08460000000000001, 0.2152, -0.0889, 0.8394, 0.0273, 0.6537000000000001, -0.1303, 0.6... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(6)) + -0.125 * (Z(... | 10 | 11 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 23, "first_excited_energy": -2.25, "smallest_bitstrings": ["01001000101", "00101011000", "00110000... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.7614) q[0];
ry(1.3935) q[1];
ry(-0.0283) q[2];
ry(1.2385) q[3];
ry(-0.1308) q[4];
ry(1.1228) q[5];
ry(0.5526) q[6];
ry(1.136) q[7];
ry(0.0038) q[8];
ry(1.3214) q[9];
ry(-0.1221) 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[... | null | {"circuits": [], "gradients": []} |
167de87ac8ecd264944bce456eb0ffa8 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target":... | {"states": [508, 511], "expectation_value": -7.931876768035929, "params": null, "bitstrings": ["000000011", "000000000"], "total_optimization_steps": 100, "probabilities": [0.09140380623596621, 0.2740614582646643], "optimization_time": 173.45872497558594} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + -1.5 * Z(1) + 1.0 * Z(0) + 1.0 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) | 1 | 9 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(1.5708) q[1], q[2];
cry(1.5706) q[1], q[0];
cry(0.838) q[0], q[1];
cry(1.5486) q[7], q[8];
cry(1.2305) q[8], q[7];
cry(1.5486) q[5], q[6];
cry(1.2305) q[6], q[5];
cry(1.5486) q[3], q[4... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... |
9af56dc8b085acec47a9c949eca371d2 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"s... | {"states": [8191, 8159], "expectation_value": -20.156927320776333, "params": [[[-0.0025, 2.7035], [-0.0032, -0.0028], [-0.0034000000000000002, -0.0031000000000000003], [-0.003, -0.0031000000000000003], [-0.0029000000000000002, -0.003], [-0.003, -0.0031000000000000003], [-0.0025, -0.0031000000000000003], [1.629400000000... | -3.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + 1.0 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(6) @ Z(9)) + 0.5 *... | 15 | 13 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["0000000100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(-0.0025) q[0];
ry(-0.0032) q[1];
ry(-0.0034) q[2];
ry(-0.003) q[3];
ry(-0.0029) q[4];
ry(-0.003) q[5];
ry(-0.0025) q[6];
ry(1.6294) q[7];
ry(-0.0019) q[8];
ry(-0.0024) q[9];
ry(-0.0019) q[10];
ry(0.0019) q[11];
ry(0.0025) q[12];
cx q[12], q[0];
cx 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] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 9} | {"circuits": [], "gradients": []} |
b305367bc2e2ddaa066fe8b84210618a | 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": 5}, {"weight": 15, "source": 0, "target": 2}, {"weight": 10, "source": 2, "target": 3}, {... | {"states": [126, 110], "expectation_value": -30.982905105935554, "params": null, "bitstrings": ["10000001", "10010001"], "total_optimization_steps": 100, "probabilities": [0.10121528844246899, 0.1241208627827555], "optimization_time": 178.36052870750427} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 19.5 * Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
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(-0.8504) q[2];
ry(-34.9236) q[4];
ry(62.9378) q[5];
ry(63.093) q[3];
ry(-2.6361) q[6];
cry(-11.8422) q[4], q[1];
ry(10.8316) q[7];
cry(11.8064) q[4], q[2];
cry(10.5078) q[4], q... | null | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(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[... |
-6486720588982531779 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4], [0, 7], [1, 3], [2, 4], [2, 5], [2, 6]]} | {"states": [176, 206], "expectation_value": -0.036963940129623805, "params": [[-0.052700000000000004], [0.0591]], "bitstrings": ["01001111", "00110001"], "total_optimization_steps": 10, "probabilities": [0.004201706923027196, 0.004201706923027196], "optimization_time": 1.3046419620513916} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["01001111", "00110001", "11001110", "10110000"]} | 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[3];
rz(-0.0527) q[3];
cx q[4], q[3];
cx q[7], q[0];
rz(-0.0527) q[0];
cx q[7], q[0];
cx q[3], q[1];
rz(-0.0527) q[1];
cx q[3], q[1];
cx q[4], q[2];
rz(-0.0527) q[2];
cx q[4], q[2];
cx q... | 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[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[7], q[0];
rz(x0) q[0];
cx q[7], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[4]... | null | {"circuits": [], "gradients": []} |
9e8a866d2c0011b6946d4c64e758f31c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [3, 28], "expectation_value": -0.17968021964432726, "params": [[-0.048100000000000004, -0.0058000000000000005], [0.0641, 0.0334]], "bitstrings": ["111100", "100011"], "total_optimization_steps": 10, "probabilities": [0.0171687687619186, 0.01749350131993107], "optimization_time": 2.7007713317871094} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0481) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0481) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(-0.0481) q[4];
cx q[0], q[4];
cx q[2], q[4];
rz(-0.0481) q[4];
cx q[2], q[4];
cx q[1], q[5];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
-3818514027649433192 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4, 5, 6, 7], [1, 3, 5, 6, 7], [0, 3]]} | {"states": [51, 59], "expectation_value": -0.7981082510697524, "params": null, "bitstrings": ["11001100", "11000100"], "total_optimization_steps": 62, "probabilities": [0.1181530670862204, 0.14091266356744625], "optimization_time": 90.05473375320435} | 0.05 * (Z(2) @ Z(4)) + 0.05 * (Z(5) @ Z(4)) + 0.05 * (Z(5) @ Z(2)) + 0.05 * (Z(6) @ Z(4)) + 0.05 * (Z(6) @ Z(2)) + 0.1 * (Z(6) @ Z(5)) + 0.05 * (Z(7) @ Z(4)) + 0.05 * (Z(7) @ Z(2)) + 0.1 * (Z(7) @ Z(5)) + 0.1 * (Z(7) @ Z(6)) + 0.05 * (Z(1) @ Z(5)) + 0.05 * (Z(1) @ Z(6)) + 0.05 * (Z(1) @ Z(7)) + 0.05 * (Z(3) @ Z(5)) + 0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, ... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[3], q[0];
ry(0.8763) q[3];
ry(-0.595) q[0];
ry(0.7602) q[7];
cry(0.4309) q[7], q[3];
cry(-0.293) q[7], q[0];
cry(0.374) q[3], q[7];
ry(0.3528) q[6];
cry(0.1686) q[6], q[3];
cry(0.23... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
a209cb26fa5154dbaa2e5c020f2a6e17 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 9}, {"capacity": 3, "source": ... | {"states": [0, 2046], "expectation_value": -25.328706589498307, "params": [[[-0.6368, 0.7737], [-0.0016, 1.3073000000000001], [-0.0027, -0.0036000000000000003], [-0.015300000000000001, -0.0023], [-0.0032, -0.0024000000000000002], [-0.003, -0.003], [-0.0024000000000000002, -0.0024000000000000002], [-0.0022, 0.0016], [0.... | -0.75 * (Z(0) @ Z(6)) + -1.0 * (Z(11) @ Z(6)) + -0.75 * (Z(11) @ Z(0)) + -0.75 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(11)) + -0.75 * (Z(1) @ Z(6)) + -2.5 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(1)) + -0.25 * (Z(9) @ Z(2)) + -1.25 * (Z(9) @ Z(1)) + -0.5 * (Z(9) @ Z(5)) + -0.25 * (Z... | 15 | 12 | 1 | {"smallest_eigenvalues": [-27.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.75, "smallest_bitstrings": ["100000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.6368) q[0];
ry(-0.0016) q[1];
ry(-0.0027) q[2];
ry(-0.0153) q[3];
ry(-0.0032) q[4];
ry(-0.003) q[5];
ry(-0.0024) q[6];
ry(-0.0022) q[7];
ry(0.0019) q[8];
ry(0.0021) q[9];
ry(-0.003) q[10];
ry(-0.0029) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
47c90a1844bb68a81c49cc01fe4989e8 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [239, 255], "expectation_value": -20.696450016876874, "params": [[0.0472, 0.0935, 0.1643], [-0.6193000000000001, -0.37160000000000004, -0.1904]], "bitstrings": ["1100010000", "1100000000"], "total_optimization_steps": 100, "probabilities": [0.04868176456999443, 0.04874615720274103], "optimization_time": 12.9... | 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(3) @ Z(4)) + 2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 2.0 * (Z(7) @ Z(3)) + 2.0 * (Z(7) @ Z(6)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z... | 1 | 10 | 3 | {"smallest_eigenvalues": [-24.833333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.833333333333332, "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];
cx q[4], q[2];
rz(0.0472) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(0.0944) q[3];
cx q[4], q[3];
cx q[2], q[3];
rz(0.1888) q[3];
cx q[2], q[3];
cx q[2], q[6];
rz(0.0472) q[6];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
3203c9c4e7e8b933779f84556b21ab6b | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "targ... | {"states": [0, 16383], "expectation_value": -25.18528356002314, "params": [[[0.0028, 1.6018000000000001], [0.0021000000000000003, 0.003], [0.0016, 0.0023], [0.002, 0.002], [-0.0035, 0.0024000000000000002], [0.0018000000000000002, 0.0027], [0.0018000000000000002, 0.0019], [-0.0029000000000000002, 0.0025], [0.0016, 0.002... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -2.0 * (Z(7) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + -2.5 * (Z(8) @ Z(9)) + -3.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + -... | 15 | 14 | 1 | {"smallest_eigenvalues": [-30.999999999999655], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.999999999999687, "smallest_bitstrings": ["00000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
ry(0.0028) q[0];
ry(0.0021) q[1];
ry(0.0016) q[2];
ry(0.002) q[3];
ry(-0.0035) q[4];
ry(0.0018) q[5];
ry(0.0018) q[6];
ry(-0.0029) q[7];
ry(0.0016) q[8];
ry(0.0023) q[9];
ry(-0.0025) q[10];
ry(0.0022) q[11];
ry(0.0022) q[12];
ry(0.0028) q[13];
cx q[13], q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 5} | {"circuits": [], "gradients": []} |
91ee5f0f4255f3e469e33f428a617749 | 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": 11, "source": 0, "target": 2}, {"weight": 20, "source": 0, "target": 5}, {"weight": 15, "source": 1, "tar... | {"states": [398, 234], "expectation_value": -4.630748099433774, "params": [[0.0412], [-0.030100000000000002]], "bitstrings": ["001110001", "100010101"], "total_optimization_steps": 10, "probabilities": [0.002681786734352331, 0.002852451618209461], "optimization_time": 2.1698567867279053} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 14.5 * Z(1) + 8.5 * Z(0) + 14.5 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["100010101"]} | 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(0.3708) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3708) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3708) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.3708) 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;
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": []} |
339c7fe0000b9f3d24083d98998c20d8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 1, "target": 4}, {"capaci... | {"states": [1, 17], "expectation_value": -12.002859679687242, "params": [[[0.0033, 0.0019], [1.6028, 0.0022], [0.0022, 0.0032], [0.0022, 0.0022], [0.0027, 0.009000000000000001], [1.6072000000000002, 0.0061]]], "bitstrings": ["111110", "101110"], "total_optimization_steps": 160, "probabilities": [0.2507952592979479, 0.2... | -1.5 * (Z(0) @ Z(3)) + -2.25 * (Z(4) @ Z(3)) + -1.75 * (Z(4) @ Z(0)) + 3.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -1.25 * Z(3) + -0.25 * Z(0) + -2.75 * Z(4) + 3.0 * Z(5) + 1.75 * Z(1) + -0.5 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "smallest_bitstrings": ["101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0033) q[0];
rz(0.0019) q[0];
rx(1.6028) q[1];
rz(0.0022) q[1];
rx(0.0022) q[2];
rz(0.0032) q[2];
rx(0.0022) q[3];
rz(0.0022) q[3];
rx(0.0027) q[4];
rz(0.009) q[4];
rx(1.6072) q[5];
rz(0.0061) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x3) q[2];
rz(x4) q[2];
rx... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
4d7217bfad7fde8e3edae459aaed01ff | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 4, "source": 1, "target": 2}, {"capac... | {"states": [512, 511], "expectation_value": -1.0368687314637113, "params": [[-0.0536], [0.0685]], "bitstrings": ["0111111111", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0015983577773195266, 0.001625106772431367], "optimization_time": 3.586791753768921} | -0.75 * (Z(0) @ Z(3)) + -0.5 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(8)) + -1.0 * (Z(2) @ Z(1)) + -2.0 * (Z(4) @ Z(3)) + -2.25 * (Z(4) @ Z(8)) + -1.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -1.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(8)) + -1.0 * (Z(5) @ Z(2)) + -0.75 * (Z(6) @ Z(8)) + -0.5 * (Z(6) @ Z(2)) + 1.5 * (Z(9) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-20.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.25, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[3], q[0];
rz(0.0804) q[0];
cx q[3], q[0];
cx q[0], q[8];
rz(0.0536) q[8];
cx q[0], q[8];
cx q[8], q[1];
rz(0.0804) q[1];
cx q[8], q[1];
cx q[1], q[2];
rz(0.1072) q[2];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
-5680906425695885737 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 4, 7], [1, 2, 3, 4, 5, 6, 8], [1, 3, 4, 5, 7], [1, 2, 3, 4, 7, 8], [0, 1, 2, 3, 5, 6, 8], [0, 8, 2, 4], [2, 5, 6, 7], [0, 1, 6, 7], [0, 2, 3, 4, 6], [2, 3, 4, 5, 7], [0, 2, 4, 5, 7], [2, 3, 6, 7], [1, 3, 4, 6, 7, 8], [1, 2, 4, 6, 7, 8]]} | {"states": [63, 319], "expectation_value": -2.0666520714412755, "params": [1.0872, 0.0024000000000000002, 1.0864, 0.0047, 1.082, 0.0022, 1.0588, 0.0032, 1.084, 0.0039000000000000003, 1.0859, 0.0033, 1.092, 0.0021000000000000003, 1.0898, 0.006, 1.0936000000000001, -0.0036000000000000003, 1.0953000000000002, 0.0076, 1.09... | 0.19047619047619047 * (Z(0) @ Z(1)) + 0.2571428571428571 * (Z(4) @ Z(1)) + 0.26666666666666666 * (Z(4) @ Z(0)) + 0.31666666666666665 * (Z(7) @ Z(1)) + 0.21666666666666667 * (Z(7) @ Z(0)) + 0.3333333333333333 * (Z(7) @ Z(4)) + 0.11428571428571427 * (Z(2) @ Z(1)) + 0.20714285714285713 * (Z(2) @ Z(0)) + 0.3238095238095237... | 6 | 9 | 1 | {"smallest_eigenvalues": [-2.9976190476190476], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.95, "smallest_bitstrings": ["011000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.0872) q[0];
rz(0.0024) q[0];
rx(1.082) q[1];
rz(0.0022) q[1];
rx(1.084) q[2];
rz(0.0039) q[2];
rx(1.092) q[3];
rz(0.0021) q[3];
rx(1.0936) q[4];
rz(-0.0036) q[4];
rx(1.0969) q[5];
rz(0.0027) q[5];
rx(1.0905) q[6];
rz(0.0028) q[6];
rx(1.098) q[7];
rz(0.003... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
3789566374932828419 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 1, 3], [2, 3]]} | {"states": [9, 5], "expectation_value": -0.6580632820980629, "params": null, "bitstrings": ["0110", "1010"], "total_optimization_steps": 16, "probabilities": [0.18846786037618055, 0.4229033830896444], "optimization_time": 8.072296857833862} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(0) + 0.16666666666666663 * Z(3) + 0.0 * Z(2) | 1 | 4 | 1 | {"smallest_eigenvalues": [-0.8333333333333333, -0.8333333333333333, -0.8333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.5, "smallest_bitstrings": ["1010", "0110", "0001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cry(-1.0342) q[3], q[2];
ry(0.971) q[3];
ry(-0.6611) q[2];
cry(0.2827) q[1], q[3];
cry(-0.3385) q[1], q[0];
cry(0.2209) q[0], q[3];
cry(-0.1959) q[1], q[2];
ry(0.2778) q[1];
cry(-0.2892) q[0], q[1];
cry(-0.1162) q[0], q[2];
cry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncry(-1.0342) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh... |
da62bff661bc86873d0aee1ded709754 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [744, 746], "expectation_value": -4.232806573841702, "params": [[[1.0512000000000001, -0.0031000000000000003], [0.0044, -0.8165], [1.0502, -0.0019], [1.0481, -0.0031000000000000003], [1.0472000000000001, 0.0009000000000000001], [-0.002, -0.8619], [1.0501, -0.003], [0.0027, 1.1473], [0.5936, -0.00060000000000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 1 | 10 | 3 | {"smallest_eigenvalues": [-4.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.625, "smallest_bitstrings": ["0100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.0512) q[0];
rz(-0.0031) q[0];
rx(0.0044) q[1];
rz(-0.8165) q[1];
rx(1.0502) q[2];
rz(-0.0019) q[2];
rx(1.0481) q[3];
rz(-0.0031) q[3];
rx(1.0472) q[4];
rz(0.0009) q[4];
rx(-0.002) q[5];
rz(-0.8619) q[5];
rx(1.0501) q[6];
rz(-0.003) q[6];
rx(0.0027) 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": []} |
cde6b48ed870286595c1455af7aff8bd | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [101, 85], "expectation_value": -0.2744325505769363, "params": [0.2792, 0.10590000000000001, 0.2732, 0.115, 0.4979, -0.013900000000000001, 0.49720000000000003, -0.0043, 0.4904, 0.0081, 0.496, 0.0014, 0.49560000000000004, -0.004200000000000001, 0.4965, -0.0059, 0.48560000000000003, 0.0258, 0.48960000000000004... | 0.25 * (Z(0) @ Z(1)) + 0.0006944444444444445 * (Z(2) @ Z(0)) + 0.0006944444444444445 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0020833333333333333 * (Z(4) @ Z(0)) + -0.0020833333333333333 * (Z(4) @ Z(2)) + -0.0020833333333333333 * (Z(5) @ Z(1)) + -0.0020833333333333333 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00069... | 6 | 8 | 2 | {"smallest_eigenvalues": [-1.0083333333333333, -1.0083333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0055555555555555, "smallest_bitstrings": ["01010101", "10101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.2792) q[0];
rz(0.1059) q[0];
rx(0.4979) q[1];
rz(-0.0139) q[1];
rx(0.4904) q[2];
rz(0.0081) q[2];
rx(0.4956) q[3];
rz(-0.0042) q[3];
rx(0.4856) q[4];
rz(0.0258) q[4];
rx(0.4982) q[5];
rz(-0.0128) q[5];
rx(0.4163) q[6];
rz(0.0354) q[6];
rx(0.4992) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
1536b63d241483fb5dc02588be4ba19b | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [42, 41], "expectation_value": -4.4890655299466315, "params": null, "bitstrings": ["1010101", "1010110"], "total_optimization_steps": 33, "probabilities": [0.06023626807002411, 0.864537406823637], "optimization_time": 28.58272385597229} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -2.0 * Z(2) + -0.5 * Z(5) + -1.0 * Z(6) | 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": ["0011110", "1010101", "0011101", "1010110", "1110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[2];
ry(-1.5681) q[4];
ry(1.4449) q[1];
cry(-1.0343) q[3], q[0];
cry(-1.0342) q[6], q[5];
ry(0.7003) q[3];
ry(0.7003) q[6];
ry(-0.4549) q[0];
cry(0.4963) q[1], q[3];
ry(-0.4549) q[5];
cry(0.4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
d9c7bdf54d899c9398017ef3207b96e3 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 1, "target": 8}, {"sour... | {"states": [289, 353], "expectation_value": -6.016361944195958, "params": [1.5665, -0.0019, 1.5688, 0.0007, -0.002, -1.2021000000000002, -0.002, 0.0022, 0.8018000000000001, 0.0019, 0.8018000000000001, 0.0066, 1.5723, 0.0016, 1.5744, 0.009000000000000001, -0.002, 1.212, -0.002, 0.0028, 0.0033, -0.79, 0.00290000000000000... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(5) ... | 7 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["010111100", "001101011", "010011110", "001011011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.5665) q[0];
rz(-0.0019) q[0];
rx(-0.002) q[1];
rz(-1.2021) q[1];
rx(0.8018) q[2];
rz(0.0019) q[2];
rx(1.5723) q[3];
rz(0.0016) q[3];
rx(-0.002) q[4];
rz(1.212) q[4];
rx(0.0033) q[5];
rz(-0.79) q[5];
rx(0.0021) q[6];
rz(0.9917) q[6];
rx(-0.0024) q[7];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
461a504b9826e7d1bfc1c6f1845a3d83 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [22, 84], "expectation_value": -4.49639797747896, "params": null, "bitstrings": ["1101001", "0101011"], "total_optimization_steps": 26, "probabilities": [0.0663522959322684, 0.9303266259711162], "optimization_time": 17.42507243156433} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.0 * Z(5) + -1.0 * Z(6) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101001", "1101010", "0101011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
ry(-1.5681) q[6];
ry(-1.4449) q[1];
ry(1.4417) q[4];
ry(1.4417) q[2];
cry(-1.0343) q[0], q[5];
ry(0.7003) q[0];
cry(-0.1259) q[4], q[1];
ry(-0.4549) q[5];
cry(0.4962) q[4], q[0];
cry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
917f40919ed5cce8c36c9746617c7a98 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 2, "source": 2, "target": 3}, {"weight": 19, "source": 2, "target": 6}, {"weight": 19, "source": 2, "targ... | {"states": [380, 124], "expectation_value": -16.04326647142338, "params": [[-0.0234], [0.0811]], "bitstrings": ["010000011", "110000011"], "total_optimization_steps": 10, "probabilities": [0.003595386798080657, 0.003903122086585044], "optimization_time": 2.304140329360962} | 4.5 * (Z(2) @ Z(5)) + 4.5 * (Z(1) @ Z(5)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-92.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -83.5, "smallest_bitstrings": ["110000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[2];
rz(-0.2106) q[2];
cx q[5], q[2];
cx q[5], q[1];
rz(-0.2106) q[1];
cx q[5], q[1];
cx q[2], q[1];
rz(-0.2106) q[1];
cx q[2], q[1];
cx q[5], q[4];
rz(-0.2106) q[4];
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;
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": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | kclique | adaptive_vqe | {"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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [33, 3], "expectation_value": -14.923580020987941, "params": null, "bitstrings": ["011110", "111100"], "total_optimization_steps": 51, "probabilities": [0.13608908662623545, 0.5552705121777858], "optimization_time": 54.084296226501465} | 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(4) @ Z(1)) + 2.5 * (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)) + 2.5 * (Z(5) @ Z(3)) + 2.5... | 9 | 6 | 3 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-0.069) q[0];
ry(-0.1184) q[1];
ry(-0.2053) q[2];
ry(-0.5055) q[3];
cry(-1.3427) q[5], q[2];
cry(-1.5018) q[4], q[0];
cry(-1.0653) q[1], q[3];
cry(-1.1823) q[5], q[1];
ry(0.5822) q[5];
cry(-0.4846) q[4], q[2];... | null | {"k": 4} | {"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(-0.069) 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 \"stdgat... |
fbfefcfa74040d0ce51ad9f65d60106e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [128, 127], "expectation_value": -16.917515088214543, "params": [[[-0.0134, -0.0037], [-0.0071, 0.1298], [-0.001, 0.0026000000000000003], [-0.0036000000000000003, 0.003], [0.0, -0.0028], [-0.001, -0.003], [-1.395, -0.0014], [0.42060000000000003, -0.002]], [[-0.0009000000000000001, 0.31930000000000003], [0.00... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + 2.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5)... | 15 | 8 | 3 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.0134) q[0];
ry(-0.0071) q[1];
ry(-0.001) q[2];
ry(-0.0036) q[3];
ry(0) q[4];
ry(-0.001) q[5];
ry(-1.395) q[6];
ry(0.4206) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
addf4ef0c2b8c54850822b29511fdebb | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 9}, {"source": 1, "target":... | {"states": [596, 597], "expectation_value": -4.649748342387779, "params": [[[2.0002, 0.0061, 0.0024000000000000002, 0.0034000000000000002], [-0.0066, -0.5884, -0.0005, 0.0097], [0.002, 0.0026000000000000003, 0.009600000000000001, 0.0082], [0.5231, 0.0028, 1.3063, 0.0078000000000000005], [-0.0028, 0.0066, 0.0057, 0.0071... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(6) + -1.0 * Z(8) + -1.0 * Z(9) + -0.5 * Z... | 12 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["1001101001", "1100101001", "0110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(2.0002) q[0];
rz(0.0061) q[0];
ry(-0.0066) q[1];
rz(-0.5884) q[1];
ry(0.002) q[2];
rz(0.0026) q[2];
ry(0.5231) q[3];
rz(0.0028) q[3];
ry(-0.0028) q[4];
rz(0.0066) q[4];
ry(1.0495) q[5];
rz(-0.0026) q[5];
ry(-0.0021) q[6];
rz(0.005) q[6];
ry(1.0484) 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": []} |
fc004364023d9de40312a47332ff3203 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [24, 40], "expectation_value": -3.9741067800330327, "params": null, "bitstrings": ["100111", "010111"], "total_optimization_steps": 17, "probabilities": [0.07397901535923933, 0.9005745124139602], "optimization_time": 15.139832019805908} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -1.5 * Z(4) + -1.0 * Z(2) | 1 | 6 | 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": ["011101", "100111", "101011", "010111", "101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[3];
ry(-1.5681) q[5];
ry(-1.4449) q[4];
ry(1.4417) q[2];
cry(-1.0398) q[0], q[1];
ry(0.7022) q[0];
ry(-0.4578) q[1];
cry(0.4969) q[2], q[0];
cry(-0.3761) q[2], q[1];
cry(-0.1216) q[2], q[4];
cry(0.1... | 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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
7d8b3d8ceec2d81b644dfcbc98592f50 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [62, 382], "expectation_value": -2.082718041434966, "params": [[[-0.013000000000000001, 0.0095], [1.5689000000000002, 1.5726], [1.5325, 1.5691000000000002], [-1.5769, 1.5731000000000002], [0.0033, 1.5670000000000002], [0.0033, 0.0033], [1.5688, 1.5729], [0.6075, 1.5687], [0.4949, -0.1194], [-0.0014, 0.528600... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(4)) + -0.125 * (Z(1) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(1) @ Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z... | 15 | 10 | 1 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.75, "smallest_bitstrings": ["1000100100", "1010000001", "1001000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.013) q[0];
ry(1.5689) q[1];
ry(1.5325) q[2];
ry(-1.5769) q[3];
ry(0.0033) q[4];
ry(0.0033) q[5];
ry(1.5688) q[6];
ry(0.6075) q[7];
ry(0.4949) q[8];
ry(-0.0014) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
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