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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
bbe36c72142a04c8b1698fed3f77c25c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [17, 19], "expectation_value": -0.26079069467889804, "params": [[0.0589, 0.0207, -0.0335], [-0.0679, -0.039400000000000004, -0.015700000000000002]], "bitstrings": ["01110", "01100"], "total_optimization_steps": 10, "probabilities": [0.034715548892819637, 0.03760680087536428], "optimization_time": 2.902182102... | 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(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["01100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.0589) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0589) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0589) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0589) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(0.0589) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
b4844a241e7c75ea7eb690acd3c4c004 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [2, 4], "expectation_value": -0.027919215523001126, "params": [[-0.0524], [0.0601]], "bitstrings": ["101", "011"], "total_optimization_steps": 10, "probabilities": [0.12736219354280479, 0.1273621935428048], "optimization_time": 1.5041232109069824} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) | 1 | 3 | 1 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "101", "011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(-0.0524) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0524) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0524) q[2];
cx q[0], q[2];
rz(0.0524) q[1];
rz(0.0524) q[0];
rz(0.0524) q[2];
h q[0];
rz(0.1202) q[0];
h q[0];
h q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
rz(x1) q[1];
rz(x1) q[0];
rz(x1) q[2];
h q[0];
... | null | {"circuits": [], "gradients": []} |
5dad688a93671469362a3d3d00961b05 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 3}]} | {"states": [12, 5], "expectation_value": -2.2240722867802383, "params": null, "bitstrings": ["10011", "11010"], "total_optimization_steps": 15, "probabilities": [0.0739903318953996, 0.9005293513110026], "optimization_time": 7.738361358642578} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(4) + -0.75 * Z(3) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.25, "smallest_bitstrings": ["11010", "01110", "10011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5486) q[3];
ry(-1.4449) q[0];
ry(1.4416) q[2];
cry(-1.0398) q[4], q[1];
ry(0.7019) q[4];
ry(-0.4575) q[1];
cry(0.4969) q[2], q[4];
cry(-0.3761) q[2], q[1];
cry(-0.1216) q[2], q[0];
cry(0.1098) q[4], q[2];
cry(-0.02... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5486) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
732c260e1c0902cbe3cb22d766daa7cc | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "so... | {"states": [44, 28], "expectation_value": -5.977022438527339, "params": [[-0.14600000000000002, -0.1076], [0.1621, 0.1622]], "bitstrings": ["1111010011", "1111100011"], "total_optimization_steps": 20, "probabilities": [0.0074460743759228055, 0.007446074375922807], "optimization_time": 9.324530124664307} | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(1) @ Z(2)) + 0.6666666666666667 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) ... | 1 | 10 | 2 | {"smallest_eigenvalues": [-10.333333333333332, -10.333333333333332, -10.333333333333332, -10.333333333333332], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.666666666666668, "smallest_bitstrings": ["1111001001", "1111001010", "1111010011", "1111100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[2], q[0];
rz(0.146) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.292) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.1947) q[1];
cx q[0], q[1];
cx q[2], q[3];
rz(-0.146) q[3];
cx q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
7eb25a4a5508592aaee9c259cef8964d | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 5, "target": 6}, {"sour... | {"states": [31, 223], "expectation_value": -9.411601129354068, "params": null, "bitstrings": ["11100000", "00100000"], "total_optimization_steps": 93, "probabilities": [0.16969613352186508, 0.5326013380397298], "optimization_time": 165.5780794620514} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -2.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) + 0.5 * Z(7) + -0.5 * Z(2) | 1 | 8 | 1 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["00100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(1.5708) q[6], q[5];
ry(1.0383) q[6];
cry(1.5708) q[5], q[4];
cry(1.5708) q[4], q[3];
cry(-0.8298) q[4], q[5];
cry(-0.0145) q[3], q[5];
ry(-0.0897) q[5];
cry(1.3049) q[2], q[5];
cry(1.5708) q[6... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5708) q[6], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... |
41c6fd253707f3493d5d4e5aa1da9109 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, ... | {"states": [129, 1], "expectation_value": -10.395514872067421, "params": null, "bitstrings": ["01111110", "11111110"], "total_optimization_steps": 23, "probabilities": [0.39265181739029803, 0.6073463626735197], "optimization_time": 27.456549167633057} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(7) @ Z(1)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[7];
ry(-1.5577) q[0];
ry(-1.5709) q[2];
ry(-1.5708) q[5];
ry(-1.5708) q[3];
ry(-1.5706) q[6];
ry(-1.5681) q[1];
ry(-1.5681) q[4];
cry(1.3413) q[7], q[0];
cry(-0.0027) q[7], q[1];
cry(... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
5675e3d1d23688cedf58afc21ee4a6b6 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": ... | {"states": [0, 383], "expectation_value": -11.281447652246317, "params": [0.1763, 0.7625000000000001, 0.23600000000000002, 0.8456, -0.6567000000000001, 1.8053000000000001, 0.0005, 1.727, -0.7889, 2.0685000000000002, -0.0815, 0.9355, -0.7864, 1.2865, 0.07680000000000001, -0.3678, -0.8230000000000001, 1.1991, 0.1524, 1.3... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + -2.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(1) @ Z(9)) + -1.5 * (Z(1) @ Z(8)) + -1.0 * Z(2) + 1.0 * Z(0) + 0.5 * Z(4) + 0.5 * Z(... | 6 | 10 | 2 | {"smallest_eigenvalues": [-16.0, -16.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -15.0, "smallest_bitstrings": ["0000000000", "1010000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.1763) q[0];
rz(0.7625) q[0];
rx(-0.6567) q[1];
rz(1.8053) q[1];
rx(-0.7889) q[2];
rz(2.0685) q[2];
rx(-0.7864) q[3];
rz(1.2865) q[3];
rx(-0.823) q[4];
rz(1.1991) q[4];
rx(-0.8581) q[5];
rz(1.2378) q[5];
rx(-0.8312) q[6];
rz(0.7657) q[6];
rx(-0.7845) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 1} | {"circuits": [], "gradients": []} |
eea2f112f1aa4a00d6fffd09725db36f | 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": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": ... | {"states": [0, 256], "expectation_value": -21.211860621613134, "params": [0.0043, -0.0038, 0.0001, 0.0046, 0.0031000000000000003, 0.0006000000000000001, 0.203, 0.2033, 0.005, -0.0016, -0.0022, 0.006900000000000001, 0.0037, 0.0068000000000000005, 0.0034000000000000002, 0.0013000000000000002, 0.0034000000000000002, 0.001... | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + -0.25 * (Z(11) @ Z(1)) + -0.5 * (Z(11) @ Z(0)) + -0.25 * (Z(11) @ Z(5)) + -0.5 * (Z(11) @ Z(8)) + -0.25 * (Z(3) @ Z(1)) + 2.5 * (Z(3) @ Z(0)) + -0.5 * (Z(9) @ Z(1)) + -0.5 * (Z(9) @ Z(5)) + -0.5 * (Z(9... | 14 | 12 | 4 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["111011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0043) q[0];
ry(0.0001) q[1];
ry(0.0031) q[2];
ry(0.203) q[3];
ry(0.005) q[4];
ry(-0.0022) q[5];
ry(0.0037) q[6];
ry(0.0034) q[7];
ry(0.0034) q[8];
ry(0.0045) q[9];
ry(0.0046) q[10];
ry(0.0037) q[11];
crx(0.1595) q[11], q[0];
crx(0.0513) q[10], q[11];
cr... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} |
351426386592622195 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 6], [6, 7], [1, 2], [2, 5], [1, 3], [3, 4], [5, 7], [0, 3], [4, 6], [4, 5]]} | {"states": [53, 57], "expectation_value": -3.6149693208350833, "params": null, "bitstrings": ["11001010", "11000110"], "total_optimization_steps": 70, "probabilities": [0.05559734732094129, 0.7810003562850265], "optimization_time": 80.14847421646118} | 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["01010110", "00111001", "11101001", "10101001", "11000110", "00010110"]} | 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[4], q[5];
cry(-1.0342) q[7], q[6];
ry(1.0293) q[7];
cry(1.4052) q[7], q[2];
cry(-0.9035) q[2], q[6];
cry(1.2164) q[2], q[4];
cry(-0.9865) q[2], q[5];
cry(-1.4141) q[2], q[1];
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[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
d255f243d36c9a74978598fd3f1ae2aa | 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": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 3, "s... | {"states": [3, 1], "expectation_value": -4.077065544870285, "params": [[0.0741, 0.0718], [-0.0796, -0.0629]], "bitstrings": ["111111100", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0056566715534373336, 0.006737007534235041], "optimization_time": 4.361515522003174} | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(6)) + -0.25 * (Z(1) @ Z(2)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(8) @ Z(2)) + 3.0 * (Z(8) @ ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.25, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.1852) q[0];
cx q[2], q[0];
cx q[2], q[6];
rz(-0.1852) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(-0.1482) q[6];
cx q[0], q[6];
cx q[0], q[7];
rz(-0.0741) q[7];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
4549735765706546182 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3, 4], [0, 1, 2, 4, 5], [1, 4, 7], [0, 3, 4, 5, 6, 7], [1, 2, 5, 6], [1, 2, 6, 7], [1, 3]]} | {"states": [181, 234], "expectation_value": -0.26052287920649386, "params": [[-0.1613], [0.16720000000000002]], "bitstrings": ["01001010", "00010101"], "total_optimization_steps": 20, "probabilities": [0.0051428222592597465, 0.005157744239999277], "optimization_time": 3.5348165035247803} | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.19999999999999998 * (Z(4) @ Z(3)) + 0.21666666666666667 * (Z(4) @ Z(2)) + 0.03333333333333333 * (Z(0) @ Z(3)) + 0.05 * (Z(0) @ Z(2)) + 0.08333333333333334 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.21666666666666667 * (Z(1) @ Z(2)) + 0.21666666666666667 * (Z(1) @ Z(4)) + 0.05 * (Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.9666666666666672], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7333333333333336, "smallest_bitstrings": ["00010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[2];
rz(-0.0538) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(-0.0645) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.0699) q[4];
cx q[2], q[4];
cx q[3], q[0];
rz(-0.0108) q[0];
cx q[3], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
f687f1f8194b721d05ab3f76ebcc9742 | 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": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"source": 3, "ta... | {"states": [32, 33], "expectation_value": -3.070619698311298, "params": [[[-0.0021000000000000003, 0.006], [1.7066000000000001, 0.0091], [1.485, 0.007], [0.0022, 0.0018000000000000002], [-0.0026000000000000003, 0.006900000000000001], [-0.0023, 0.0049], [1.6396000000000002, 0.0021000000000000003]]], "bitstrings": ["1011... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + -1.0 * Z(0) + 0.0 * Z(1) + -0.25 * Z(2) + -0.75 * Z(3) + -0.75 * Z(4) + -0.7... | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["1011110", "1001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0021) q[0];
rz(0.006) q[0];
rx(1.7066) q[1];
rz(0.0091) q[1];
rx(1.485) q[2];
rz(0.007) q[2];
rx(0.0022) q[3];
rz(0.0018) q[3];
rx(-0.0026) q[4];
rz(0.0069) q[4];
rx(-0.0023) q[5];
rz(0.0049) q[5];
rx(1.6396) q[6];
rz(0.0021) q[6];
c[0] = measure q[0];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
36fc1c5be2c91695283e8185a1ebb45b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [21, 37], "expectation_value": -0.2780745743324047, "params": [[0.062200000000000005, 0.039], [-0.0641, -0.0381]], "bitstrings": ["1101010", "1011010"], "total_optimization_steps": 10, "probabilities": [0.009708430378332002, 0.009708430378332014], "optimization_time": 3.114124298095703} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(1) + -1.0 * Z(3) + -0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["0011101", "1100101", "1101010", "0110101", "1011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.0622) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(0.0622) q[4];
cx q[0], q[4];
cx q[0], q[6];
rz(0.0622) q[6];
cx q[0], q[6];
cx q[2], q[1];
rz(0.0622) q[1];
cx q[2], q[1];
cx q[4], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
c... | null | {"circuits": [], "gradients": []} |
8e4b273e62e3bdbcb042f56fe9c0bd31 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [18, 19], "expectation_value": -1.524973362063694, "params": [[[0.1332, 0.008700000000000001], [1.6063, 0.008], [0.5552, 0.0068000000000000005], [0.5673, 0.0058000000000000005], [1.6083, 0.0076], [1.5997000000000001, 0.0047]]], "bitstrings": ["101101", "101100"], "total_optimization_steps": 160, "probabiliti... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["110100", "101100", "101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.1332) q[0];
rz(0.0087) q[0];
rx(1.6063) q[1];
rz(0.008) q[1];
rx(0.5552) q[2];
rz(0.0068) q[2];
rx(0.5673) q[3];
rz(0.0058) q[3];
rx(1.6083) q[4];
rz(0.0076) q[4];
rx(1.5997) q[5];
rz(0.0047) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} |
474afac3a31ba487f93ea7ccb82b3637 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "source": 0, ... | {"states": [93, 85], "expectation_value": -4.370452858751147, "params": [[-0.026600000000000002, -0.059500000000000004, -0.045200000000000004, 0.0021000000000000003], [-0.0281, 0.0611, 0.06620000000000001, 0.034800000000000005]], "bitstrings": ["10100010", "10101010"], "total_optimization_steps": 10, "probabilities": [... | -0.75 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.75 * (Z(7) @ Z(1)) + 2.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["10101010"]} | 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(0.0399) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0665) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.0532) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0266) q[4];
cx q[0], q[4];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
3093140569224957743 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 3], [0, 4], [1, 3], [3, 4], [0, 1], [2, 4], [0, 3]]} | {"states": [13, 18], "expectation_value": -0.05494954881017025, "params": [[0.06520000000000001], [-0.0614]], "bitstrings": ["10010", "01101"], "total_optimization_steps": 10, "probabilities": [0.03275307646026488, 0.03275307646026488], "optimization_time": 1.4551961421966553} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(1) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -0.5, "smallest_bitstrings": ["11100", "10010", "10100", "10110", "00011", "01001", "01011", "01101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[2];
rz(0.0652) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(0.0652) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(0.0652) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(0.0652) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.0652) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(x0) q[4];
cx ... | null | {"circuits": [], "gradients": []} |
5af217517162a6059ab1b927ed8fa2c4 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [238, 174], "expectation_value": -93.69238197370626, "params": [0.0055000000000000005, -0.4817, 0.184, 0.3156, 0.7908000000000001, 0.1365, 0.3623, 0.26880000000000004, 0.7925000000000001, 0.1198, 0.002, -0.47400000000000003, 0.7877000000000001, 0.0037, 0.7873, 0.0034000000000000002, 0.7842, -0.01070000000000... | 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(9) @ Z(4)) + 5.5 * (Z(6) @ Z(9)) + 5.5 * (Z(0) @ Z(6)) + 5.5 * (Z(7) @ Z(2)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(9)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(3)) + 5.5 * (Z(8) @ Z(9)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(8) ... | 3 | 10 | 4 | {"smallest_eigenvalues": [-106.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -93.0, "smallest_bitstrings": ["1101010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0055) q[0];
rz(-0.4817) q[0];
rx(0.184) q[1];
rz(0.3156) q[1];
rx(0.7908) q[2];
rz(0.1365) q[2];
rx(0.3623) q[3];
rz(0.2688) q[3];
rx(0.7925) q[4];
rz(0.1198) q[4];
rx(0.002) q[5];
rz(-0.474) q[5];
rx(0.7877) q[6];
rz(0.0037) q[6];
rx(0.7873) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
0fcc1a24f94fd2a8b4a107178db6be3d | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [7, 38], "expectation_value": -0.19359640763429414, "params": [[0.054400000000000004], [-0.0745]], "bitstrings": ["1111000", "1011001"], "total_optimization_steps": 10, "probabilities": [0.008652168656583224, 0.008652168656583224], "optimization_time": 11.125512599945068} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(5) + -1.0 * Z(1) + -1.5 * Z(3) + -1.0 * Z(6) + -0.5 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1011001", "0111010", "1111000", "0011011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.0544) q[0];
cx q[2], q[0];
cx q[0], q[5];
rz(0.0544) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(0.0544) q[1];
cx q[2], q[1];
cx q[5], q[3];
rz(0.0544) q[3];
cx q[5], q[3];
cx q[1], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(... | null | {"circuits": [], "gradients": []} |
1933e8b73d4f27169594b5a37f23f4e2 | 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": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [1701, 1717], "expectation_value": -2.3491102708747276, "params": [[[0.9888, -0.0081, 0.0033, 0.0016], [0.1279, -0.40190000000000003, 0.9947, 0.0046], [0.4514, 0.0103, 0.0086, 0.0148], [0.40030000000000004, -0.0684, 0.9266000000000001, 0.0024000000000000002], [0.0694, -0.0056, 0.0078000000000000005, -0.0035]... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(6) @ Z(3) @ Z(4)) + -0.125 * (Z(... | 12 | 11 | 2 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.625, "smallest_bitstrings": ["10000101001", "10010001001", "01000101010", "01000011010", "0101000101... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.9888) q[0];
rz(-0.0081) q[0];
ry(0.1279) q[1];
rz(-0.4019) q[1];
ry(0.4514) q[2];
rz(0.0103) q[2];
ry(0.4003) q[3];
rz(-0.0684) q[3];
ry(0.0694) q[4];
rz(-0.0056) q[4];
ry(0.036) q[5];
rz(-0.0107) q[5];
ry(0.8082) q[6];
rz(-0.006) q[6];
ry(0.0025) 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": []} |
20a8103f07dd8a24047f028e6edcf2b9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 14, "source": 1, "target": 3}, {"weight": 14, "source": 1, "target": 4}, {... | {"states": [235, 122], "expectation_value": -26.609574630892745, "params": [[-0.0386, 0.0083, -0.0142], [0.07300000000000001, 0.0497, 0.064]], "bitstrings": ["00010100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.014721365261411984, 0.01734640052452272], "optimization_time": 9.860981225967407} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-67.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.3088) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.3088) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.3088) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(-0.3088) q[3];
cx q[2], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
f736cdcdd3e9fab7057c0068d5117a32 | 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": 9, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 6}, {"weight": 20, "source": 1, "tar... | {"states": [461, 244], "expectation_value": -31.943007162855732, "params": null, "bitstrings": ["000110010", "100001011"], "total_optimization_steps": 100, "probabilities": [0.04759182583258912, 0.11524234187856296], "optimization_time": 167.61491012573242} | 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(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 16.0 * Z(1) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["100001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(0.1246) q[3];
ry(23.2852) q[4];
ry(-25.9147) q[1];
ry(6.6126) q[0];
ry(0.1645) q[5];
ry(3.6791) q[2];
cry(62.8422) q[5], q[0];
cry(5.894) q[0], q[5];
cry(62.9658) q[0], q[3];
ry(22.4691... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(0.1246) 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] = m... |
839e49943c280a605024f1eaa388ffdd | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capaci... | {"states": [3, 1], "expectation_value": -7.499987376396085, "params": null, "bitstrings": ["111100", "111110"], "total_optimization_steps": 16, "probabilities": [1.2623561992970457e-05, 0.9999873764286952], "optimization_time": 10.202661752700806} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + 1.5 * (Z(5) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.5 * Z(5) + -1.0 * Z(3) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.5708) q[5];
ry(-1.5708) q[0];
ry(-1.5706) q[2];
ry(-1.5681) q[3];
ry(-1.5708) q[1];
ry(-1.4449) q[4];
cry(-0.1188) q[5], q[4];
cry(-0.0027) q[5], q[3];
cry(-0.0002) q[5], q[2];
c[0] = measure q[0];
c[1] = me... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
5013097620785852368 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 4, 5], [0, 2, 3], [2, 3, 4, 6], [0, 3, 4], [1, 2, 5], [3, 5, 6], [0, 1, 6], [1, 2, 3, 4]]} | {"states": [106, 87], "expectation_value": -0.04448467850967855, "params": [[0.0579], [-0.0468]], "bitstrings": ["0010101", "0101000"], "total_optimization_steps": 10, "probabilities": [0.008054275791203143, 0.008097783132347703], "optimization_time": 2.659191131591797} | 0.25 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.25 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(5)) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.3333333333333326], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8333333333333335, "smallest_bitstrings": ["0101000"]} | 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(0.029) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.0193) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.029) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(0.029) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
1c2304a67a30db02b0aacaef8f54cc49 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 20, "source": 0, "target": 5}, {"weight": 12, "source": 0, "target": 4}, {... | {"states": [121, 118], "expectation_value": -26.88708482582167, "params": [[0.0076, 0.0171, 0.0053, -0.008], [-0.028200000000000003, -0.0616, -0.0616, -0.037200000000000004]], "bitstrings": ["10000110", "10001001"], "total_optimization_steps": 10, "probabilities": [0.010958503330186824, 0.012650796559318726], "optimiza... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.0608) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0608) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0608) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0608) q[3];
cx q[1], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
bf94e6406551047eb54e98577948dda2 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"sour... | {"states": [0, 7], "expectation_value": -15.999241848772192, "params": [-0.01, 0.8557, 0.0011, 0.8813000000000001, -0.0025, 0.4465, 0.011000000000000001, 0.32130000000000003, 0.0071, 0.5151, -0.004200000000000001, 0.4687, -0.0001, 0.8381000000000001, -0.009600000000000001, 0.7592, 0.0026000000000000003, 0.6428, 0.00680... | -2.0 * (Z(0) @ Z(1)) + -3.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + 1.5 * Z(1) + -2.0 * Z(0) + -2.5 * Z(3) + -2.0 * Z... | 6 | 8 | 4 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.01) q[0];
rz(0.8557) q[0];
rx(-0.0025) q[1];
rz(0.4465) q[1];
rx(0.0071) q[2];
rz(0.5151) q[2];
rx(-0.0001) q[3];
rz(0.8381) q[3];
rx(0.0026) q[4];
rz(0.6428) q[4];
rx(0.5523) q[5];
rz(0.9816) q[5];
rx(0.5554) q[6];
rz(-0.1346) q[6];
rx(-0.5263) 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... | {"node": 2} | {"circuits": [], "gradients": []} |
e0b9c24fb45ae4a4b516382818d3356a | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": ... | {"states": [56, 888], "expectation_value": -14.833605103068923, "params": [0.5318, 0.33180000000000004, -0.6345000000000001, 1.3735000000000002, 0.661, 0.3765, -0.6002000000000001, 1.5090000000000001, -0.0022, 0.6026, -0.0024000000000000002, 0.6932, 0.5693, 0.5953, -0.39580000000000004, 1.064, 0.8438, 0.681900000000000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(2) @ Z(8)) + -2.5 * (Z(2) @ Z(7)) + 1.0 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 *... | 6 | 10 | 2 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["0010000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.5318) q[0];
rz(0.3318) q[0];
rx(0.661) q[1];
rz(0.3765) q[1];
rx(-0.0022) q[2];
rz(0.6026) q[2];
rx(0.5693) q[3];
rz(0.5953) q[3];
rx(0.8438) q[4];
rz(0.6819) q[4];
rx(0.8391) q[5];
rz(0.7689) q[5];
rx(0.6068) q[6];
rz(0.5352) q[6];
rx(-0.0011) 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[... | {"node": 7} | {"circuits": [], "gradients": []} |
4002e7c825d905d476562dd2a4250026 | 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": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [623, 591], "expectation_value": -2.771937533213114, "params": [0.2964, 0.0044, 0.3013, 0.0118, 0.08950000000000001, -0.12100000000000001, 0.08270000000000001, -0.1212, 0.0906, 0.11370000000000001, 0.08320000000000001, 0.116, 0.3054, 0.0067, 0.3058, 0.0078000000000000005, 0.2969, 0.01, 0.2962, -0.02820000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.0625 * (Z(5) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(0) @ Z(8)) + 0.0625 * (Z(5) @ Z(6)) + 0.0625 * (Z(5) @ Z(7)) + 0.0625 * (Z(5) @ Z(8)) + 0.0625 * (Z(6) @ Z(7)) ... | 6 | 10 | 3 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.6875, "smallest_bitstrings": ["1010010001", "0110110000", "0100111000", "0110010010", "0110010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.2964) q[0];
rz(0.0044) q[0];
rx(0.0895) q[1];
rz(-0.121) q[1];
rx(0.0906) q[2];
rz(0.1137) q[2];
rx(0.3054) q[3];
rz(0.0067) q[3];
rx(0.2969) q[4];
rz(0.01) q[4];
rx(0.0777) q[5];
rz(0.0122) q[5];
rx(0.3042) q[6];
rz(0.0053) q[6];
rx(0.2994) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
3be62d904e3c491ed9eeb750b53bffe0 | 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": 3, "source": 0, "t... | {"states": [110, 109], "expectation_value": -26.269228994435473, "params": [[0.0386, -0.0032, -0.0648, -0.0339], [-0.0641, -0.057, 0.0352, 0.0582]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.020638495689187276, 0.022609685275217443], "optimization_time": 7.7431874275207... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 6.0 * Z(0) + 18.0 * ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "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(0.3474) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.3474) q[4];
cx q[1], q[4];
cx q[0], q[2];
rz(0.3474) q[2];
cx q[0], q[2];
cx q[4], q[2];
rz(0.3474) q[2];
cx q[4], q[2];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
82a9b805089c1b1c13eff0722cc99710 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "s... | {"states": [0, 1], "expectation_value": -8.083184063654919, "params": [0.0017000000000000001, 0.0064, 0.0023, 0.0027, 0.0026000000000000003, 0.0086, 0.0023, 0.003, 0.0026000000000000003, 0.0002, 0.0023, 0.0036000000000000003, 0.0024000000000000002, 0.0015, 0.0026000000000000003, 0.0091, 1.5985, 0.0097, 0.00690000000000... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @... | 3 | 9 | 1 | {"smallest_eigenvalues": [-11.0, -11.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["110111110", "111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0017) q[0];
rz(0.0064) q[0];
rx(0.0023) q[1];
rz(0.0027) q[1];
rx(0.0026) q[2];
rz(0.0086) q[2];
rx(0.0023) q[3];
rz(0.003) q[3];
rx(0.0026) q[4];
rz(0.0002) q[4];
rx(0.0023) q[5];
rz(0.0036) q[5];
rx(0.0024) q[6];
rz(0.0015) q[6];
rx(0.0026) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
-4454802246334688905 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 5], [1, 4, 5, 6], [0, 1, 2, 4, 6], [0, 1, 2, 5, 6], [0, 2, 3, 4, 6], [0, 1, 2, 3, 4], [2, 3, 4, 5], [0, 3, 4, 5, 6], [0, 1, 3, 4, 6]]} | {"states": [91, 118], "expectation_value": -1.286720917609098, "params": [[0.3478], [-0.3372]], "bitstrings": ["0100100", "0001001"], "total_optimization_steps": 40, "probabilities": [0.019612716771963024, 0.019858408835719838], "optimization_time": 243.39675068855286} | 0.26666666666666666 * (Z(1) @ Z(3)) + 0.3 * (Z(5) @ Z(3)) + 0.3 * (Z(5) @ Z(1)) + 0.2833333333333333 * (Z(4) @ Z(3)) + 0.23333333333333334 * (Z(4) @ Z(1)) + 0.21666666666666667 * (Z(4) @ Z(5)) + 0.15000000000000002 * (Z(6) @ Z(3)) + 0.23333333333333334 * (Z(6) @ Z(1)) + 0.18333333333333335 * (Z(6) @ Z(5)) + 0.283333333... | 11 | 7 | 1 | {"smallest_eigenvalues": [-2.0333333333333337], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.033333333333333, "smallest_bitstrings": ["0001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[1];
rz(0.1855) q[1];
cx q[3], q[1];
cx q[3], q[5];
rz(0.2087) q[5];
cx q[3], q[5];
cx q[1], q[5];
rz(0.2087) q[5];
cx q[1], q[5];
cx q[3], q[4];
rz(0.1971) q[4];
cx q[3], q[4];
cx q[1], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
b426b8aff164c6823b185eb6b091738d | 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": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [51, 53], "expectation_value": -2.5928785863055515, "params": null, "bitstrings": ["1001100", "1001010"], "total_optimization_steps": 45, "probabilities": [0.07553581477216839, 0.7557774249569611], "optimization_time": 48.576310873031616} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(5) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.2... | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["1001010", "0110100"]} | 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(-1.4449) q[0];
cry(-1.3016) q[4], q[5];
cry(-1.3016) q[1], q[3];
ry(1.2881) q[2];
ry(0.7777) q[1];
ry(-0.5287) q[3];
ry(0.6761) q[4];
ry(-0.5895) q[5];
cry(1.1446) q[1], q[6];
cry(0.5991) q[2], q[4];
c... | 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(-1.4449) 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", ... |
6cfd499277502d6e85a2cad6ec018ed8 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [229, 213], "expectation_value": -12.997117600257202, "params": [[0.0152, 0.0236], [-0.037200000000000004, -0.0699]], "bitstrings": ["100011010", "100101010"], "total_optimization_steps": 10, "probabilities": [0.004928501490872813, 0.005178879297868349], "optimization_time": 3.0108299255371094} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(7) @ Z(8)) + 14.5 * Z(1) + 0.5 * Z(0) + 11.0 * Z(2) + 5.0 * Z(3) + 14.0 * Z(4) + 2.0 * Z(5)... | 1 | 9 | 2 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["100101010"]} | 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(0.152) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.152) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.152) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.152) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
43783f0d102db45430e0e9cc0abd5421 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 1, "s... | {"states": [0, 1], "expectation_value": -9.930021909977537, "params": [-0.0035, -0.44060000000000005, 0.0027, 0.5184, 0.0025, 0.5901000000000001, 0.0027, 0.6041000000000001, 0.0027, 0.5815, 0.0028, 0.5979, 0.0028, 0.5827, 0.0028, 0.45520000000000005, 0.8055, 0.0035, -0.0036000000000000003, 0.19640000000000002, 0.002600... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.75 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(3)) + -1.25 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(6) @ Z(3)) + 2.25 * (Z(8)... | 4 | 9 | 2 | {"smallest_eigenvalues": [-13.75, -13.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.75, "smallest_bitstrings": ["111111110", "111111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0035) q[0];
rz(-0.4406) q[0];
rx(0.0027) q[1];
rz(0.5184) q[1];
rx(0.0025) q[2];
rz(0.5901) q[2];
rx(0.0027) q[3];
rz(0.6041) q[3];
rx(0.0027) q[4];
rz(0.5815) q[4];
rx(0.0028) q[5];
rz(0.5979) q[5];
rx(0.0028) q[6];
rz(0.5827) q[6];
rx(0.0028) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
bbe36c72142a04c8b1698fed3f77c25c | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [57, 54], "expectation_value": -0.0946775841659894, "params": [[-0.057100000000000005, -0.0446], [0.061500000000000006, 0.062400000000000004]], "bitstrings": ["1000110", "1001001"], "total_optimization_steps": 10, "probabilities": [0.009205762805279377, 0.00920576280527938], "optimization_time": 7.9508204460... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 1 | 7 | 2 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.25, "smallest_bitstrings": ["0101100", "1001001", "0100110", "1000110", "1000011", "0101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0571) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0143) q[0];
cx q[2], q[0];
cx q[3], q[0];
rz(-0.0143) q[0];
cx q[3], q[0];
cx q[4], q[0];
rz(-0.0143) q[0];
cx q[4], q[0];
cx q[3], q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} |
8825faac04a1dea74e1f50fbc9cc77c3 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [198, 166], "expectation_value": -1.3467667378848294, "params": [0.8026000000000001, 0.2044, 0.8062, 0.2564, 0.7979, 0.45170000000000005, 0.3035, 0.4156, 0.5792, 0.47600000000000003, 0.7999, 0.2857, 0.8087000000000001, 0.0037, 0.0019, -0.5455, 0.806, 0.0019, 0.8066, 0.006900000000000001, 0.7976000000000001, ... | 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(5)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (... | 18 | 8 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.25, "smallest_bitstrings": ["10011001", "10101001", "01010101", "00111001", "01011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8026) q[0];
rz(0.2044) q[0];
rx(0.8062) q[1];
rz(0.2564) q[1];
rx(0.7979) q[2];
rz(0.4517) q[2];
rx(0.3035) q[3];
rz(0.4156) q[3];
rx(0.5792) q[4];
rz(0.476) q[4];
rx(0.7999) q[5];
rz(0.2857) q[5];
rx(0.8087) q[6];
rz(0.0037) q[6];
rx(0.0019) 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": []} |
6308869371435645696 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 4, 5, 6, 8], [8, 1, 3], [3, 7], [0, 1, 6]]} | {"states": [411, 459], "expectation_value": -0.41949202086189885, "params": [[-0.3381], [0.3346]], "bitstrings": ["001100100", "000110100"], "total_optimization_steps": 40, "probabilities": [0.003931936934876284, 0.003931936934876284], "optimization_time": 6.351269960403442} | 0.03333333333333333 * (Z(1) @ Z(2)) + 0.03333333333333333 * (Z(4) @ Z(2)) + 0.03333333333333333 * (Z(4) @ Z(1)) + 0.03333333333333333 * (Z(5) @ Z(2)) + 0.03333333333333333 * (Z(5) @ Z(1)) + 0.03333333333333333 * (Z(5) @ Z(4)) + 0.03333333333333333 * (Z(6) @ Z(2)) + 0.19999999999999998 * (Z(6) @ Z(1)) + 0.03333333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.366666666666667, -1.366666666666667, -1.366666666666667, -1.366666666666667, -1.366666666666667, -1.366666666666667], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.3666666666666665, "smallest_bitstrings": ["011000010", "010001010", "000110100", "010010010", "100111000", "0... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[1];
rz(-0.0225) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(-0.0225) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(-0.0225) q[4];
cx q[1], q[4];
cx q[2], q[5];
rz(-0.0225) q[5];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[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],... | null | {"circuits": [], "gradients": []} |
5184418930193143865 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 7], [1, 4], [3, 7], [3, 5], [0, 2], [2, 7], [0, 7], [5, 7], [2, 4], [2, 5], [4, 5], [3, 6], [8, 1], [0, 4], [2, 3], [2, 6], [4, 7], [8, 2], [3, 4], [1, 2]]} | {"states": [425, 429], "expectation_value": -3.4117969702966553, "params": null, "bitstrings": ["001010110", "001010010"], "total_optimization_steps": 92, "probabilities": [0.17768830371811892, 0.5555055987457981], "optimization_time": 225.79920148849487} | 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -3.0, "smallest_bitstrings": ["110101001", "011100010", "001010110", "110101101", "001110001", "100011101", "110001110", "001010010"]} | 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[2];
ry(0.7003) q[8];
cry(-0.7092) q[7], q[2];
cry(1.2201) q[8], q[6];
cry(1.2201) q[8], q[0];
cry(-1.1686) q[0], q[7];
ry(1.535) q[5];
cry(-0.424) q[6], q[2];
cry(0.50... | 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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... |
bbe36c72142a04c8b1698fed3f77c25c | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target"... | {"states": [20, 17], "expectation_value": -6.904566714857111, "params": null, "bitstrings": ["01011", "01110"], "total_optimization_steps": 28, "probabilities": [0.13248903201254356, 0.656043561363698], "optimization_time": 21.367751359939575} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -3.0 * Z(1) + -2.5 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 10 | 5 | 4 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "01110", "01101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5709) q[1];
cry(-1.5708) q[4], q[2];
cry(-1.566) q[0], q[3];
ry(0.9826) q[0];
ry(0.5852) q[4];
ry(-0.4354) q[3];
ry(-0.2545) q[2];
cry(0.4118) q[0], q[4];
cry(-0.2536) q[0], q[2];
cry(0.1883) q[4], q[0];
cry(-0.142... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5709) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
87c3ced1ef7832360d99a2d1828a4d93 | 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": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1521, 1525], "expectation_value": -3.0709440388365135, "params": [2.531, 0.004, -0.0021000000000000003, 0.0034000000000000002, 3.1389, 0.0064, 3.1396, 0.0043, 3.1396, 0.0007, 3.1391, 0.006500000000000001, 3.1390000000000002, 0.0054, 0.3854, 0.004, 1.6583, 0.0032, -0.0028, 0.0074, 3.1396, 0.0061, 0.007, 0.00... | 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 * (... | 18 | 11 | 1 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.6875, "smallest_bitstrings": ["00100100100", "10000000110", "00011000010", "01000100001", "01000001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(2.531) q[0];
rz(0.004) q[0];
rx(-0.0021) q[1];
rz(0.0034) q[1];
rx(3.1389) q[2];
rz(0.0064) q[2];
rx(3.1396) q[3];
rz(0.0043) q[3];
rx(3.1396) q[4];
rz(0.0007) q[4];
rx(3.1391) q[5];
rz(0.0065) q[5];
rx(3.139) q[6];
rz(0.0054) q[6];
rx(0.3854) 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": []} |
dee99b5a2b9a8dcba1984d8147401d5f | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target... | {"states": [22954, 22950], "expectation_value": -1.7080758607950326, "params": null, "bitstrings": ["1010011001010101", "1010011001011001"], "total_optimization_steps": 100, "probabilities": [0.1227158528706472, 0.26579054823525666], "optimization_time": 975.8024513721466} | 0.25 * (Z(0) @ Z(1)) + -0.0007716049382716049 * (Z(2) @ Z(0)) + -0.0007716049382716049 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0007716049382716049 * (Z(4) @ Z(0)) + 0.00030864197530864197 * (Z(4) @ Z(2)) + -0.0007716049382716049 * (Z(5) @ Z(1)) + 0.00030864197530864197 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0174382716049095], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.017438271604872, "smallest_bitstrings": ["1010011001011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cry(-0.5952) q[10], q[11];
cry(-0.5952) q[1], q[0];
cry(-0.5937) q[13], q[12];
cry(-0.5935) q[7], q[6];
cry(-0.5942) q[3], q... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncry(-0.5952) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure ... |
61fc58e7ea5c0b858181cef6a00713e4 | 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": 18, "source": 0, "target": 6}, {"weight": 6, "source": 2, "target": 3}, {"weight": 13, "source": 2, "targ... | {"states": [249, 188], "expectation_value": -29.76401815418995, "params": null, "bitstrings": ["100000110", "101000011"], "total_optimization_steps": 100, "probabilities": [0.10854950291818022, 0.1832553262641075], "optimization_time": 199.78456783294678} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 9.0 * Z(1) +... | 1 | 9 | 3 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["101000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
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(0.1215) q[4];
ry(-23.4164) q[5];
cry(0.1181) q[5], q[4];
ry(23.9349) q[3];
cry(-2.7541) q[7], q[4];
ry(56.209) q[2];
ry(63.0362) q[6];
cry(62.7821) q[5], q[6];
cry(16.3845) q[5], q[2];
... | 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(0.1215) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
30e28b56cad01a233ddf0894e9b7eaa8 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [49, 50], "expectation_value": -3.999937478449852, "params": null, "bitstrings": ["001110", "001101"], "total_optimization_steps": 28, "probabilities": [1.6357230666329146e-05, 0.9999687399529342], "optimization_time": 21.28190779685974} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(1) + -0.5 * Z(5) + -1.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110010", "001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[2];
ry(-1.5681) q[3];
ry(-1.4449) q[5];
ry(1.4449) q[0];
ry(1.4417) q[4];
ry(1.4417) q[1];
cry(-0.1259) q[4], q[5];
cry(0.1218) q[0], q[1];
cry(0.1216) q[1], q[4];
cry(0.1186) q[4], q[0];
cry(-0.002... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
c24dd733315066f7c7da3d578f954d8c | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 2}]} | {"states": [46, 47], "expectation_value": -4.499906801932809, "params": null, "bitstrings": ["010001", "010000"], "total_optimization_steps": 23, "probabilities": [1.4544661481581006e-05, 0.9999210579975322], "optimization_time": 14.239245653152466} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
ry(1.4449) q[5];
ry(1.4449) q[0];
ry(1.4449) q[2];
ry(1.4449) q[3];
ry(1.4449) q[4];
cry(0.1187) q[4], q[5];
cry(0.1188) q[5], q[0];
cry(0.1188) q[0], q[2];
cry(0.1188) q[0], q[3];
cry(0.1186) q... | 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... |
7fc1aaca9b2555712646afcde4133c5a | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [334, 326], "expectation_value": -50.24836171326508, "params": [[[2.3053, 0.009600000000000001], [0.0026000000000000003, 0.0068000000000000005], [2.301, 0.0026000000000000003], [0.0032, 0.0008], [0.2222, 0.0041], [1.4718, 0.0034000000000000002], [2.3007, 0.0026000000000000003], [2.3104, 0.0024000000000000002... | 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(8) @ Z(7)) + -2.0 * Z(0) + -7.5 * Z(1) + -0.5 * Z(2) + -5.5 * Z(3) + -5.0 * Z(4) + -1.0 * Z(5) + 1.5 * Z(6) + -1.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-67.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -56.0, "smallest_bitstrings": ["010111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(2.3053) q[0];
rz(0.0096) q[0];
rx(0.0026) q[1];
rz(0.0068) q[1];
rx(2.301) q[2];
rz(0.0026) q[2];
rx(0.0032) q[3];
rz(0.0008) q[3];
rx(0.2222) q[4];
rz(0.0041) q[4];
rx(1.4718) q[5];
rz(0.0034) q[5];
rx(2.3007) q[6];
rz(0.0026) q[6];
rx(2.3104) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
4608666261104216649 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 3, 4, 5, 7], [8, 3, 5], [0, 2, 3, 4, 5, 6, 7], [8, 1, 2, 3], [0, 1, 2, 5, 6, 7, 8], [0, 4, 5, 6, 8], [2, 3, 4, 7, 8], [8, 3, 6], [0, 1, 2, 4, 6], [1, 3, 4, 7, 8]]} | {"states": [254, 223], "expectation_value": -1.578401594672533, "params": [1.092, -0.254, 0.9708, 0.0063, 1.2744, -0.034300000000000004, 1.1971, 0.002, 1.2644, -0.0437, 1.157, 0.0061, 1.189, 0.26430000000000003, 0.9531000000000001, 0.0021000000000000003, 1.24, -0.153, 1.0994000000000002, 0.008400000000000001, 1.2803, 0... | 0.09761904761904762 * (Z(0) @ Z(1)) + 0.18095238095238092 * (Z(2) @ Z(1)) + 0.12142857142857143 * (Z(2) @ Z(0)) + 0.15714285714285714 * (Z(3) @ Z(1)) + 0.047619047619047616 * (Z(3) @ Z(0)) + 0.18095238095238092 * (Z(3) @ Z(2)) + 0.12380952380952381 * (Z(4) @ Z(1)) + 0.14761904761904762 * (Z(4) @ Z(0)) + 0.1476190476190... | 5 | 9 | 1 | {"smallest_eigenvalues": [-2.240476190476191, -2.240476190476191], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.1928571428571435, "smallest_bitstrings": ["100000011", "100100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.092) q[0];
rz(-0.254) q[0];
rx(1.2744) q[1];
rz(-0.0343) q[1];
rx(1.2644) q[2];
rz(-0.0437) q[2];
rx(1.189) q[3];
rz(0.2643) q[3];
rx(1.24) q[4];
rz(-0.153) q[4];
rx(1.2803) q[5];
rz(0.0789) q[5];
rx(1.2721) q[6];
rz(0.0717) q[6];
rx(1.2767) q[7];
rz(-0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
b9ebb8d61b9c93450c1a13d7b74d1b5f | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target":... | {"states": [324, 356], "expectation_value": -9.51440774822202, "params": [[[-0.002, 0.0005, 0.0007, 0.003], [1.046, 0.002, 1.0522, 0.005200000000000001], [-0.0027, 0.0066, 0.0017000000000000001, 0.0022], [1.0530000000000002, -0.0027, 1.0488, 0.0039000000000000003], [1.5999, 0.007, 0.0054, 0.0068000000000000005], [0.003... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) ... | 12 | 10 | 1 | {"smallest_eigenvalues": [-10.0, -10.0, -10.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -9.0, "smallest_bitstrings": ["1110010011", "1010011011", "0101101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.002) q[0];
rz(0.0005) q[0];
ry(1.046) q[1];
rz(0.002) q[1];
ry(-0.0027) q[2];
rz(0.0066) q[2];
ry(1.053) q[3];
rz(-0.0027) q[3];
ry(1.5999) q[4];
rz(0.007) q[4];
ry(0.0037) q[5];
rz(0.5792) q[5];
ry(-0.0024) q[6];
rz(0.0094) q[6];
ry(1.0495) 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": []} |
a61196a27e9d77181b30595d54711c88 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "s... | {"states": [256, 1], "expectation_value": -18.58194899506546, "params": null, "bitstrings": ["011111111", "111111110"], "total_optimization_steps": 27, "probabilities": [0.15880617211805254, 0.8164186366713136], "optimization_time": 30.506274223327637} | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + -1.0 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(0)) + -1.75 * (Z(7) @ Z(3)) + 2.25 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(8)) + -1.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(6) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.5708) q[7];
ry(-1.5708) q[5];
ry(-1.5708) q[3];
cry(-1.5708) q[8], q[0];
ry(1.1156) q[8];
ry(-1.5708) q[2];
ry(-0.5198) q[0];
ry(-1.5708) q[6];
ry(-1.5708) q[1];
ry(-1.5681) q[4];
cr... | 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[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
2cd4f4c4fee8ef9da3443a6a74e2d3f6 | 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": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.01689033433757876, "params": [[-0.0659], [0.0648]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.6330936371891027e-05, 1.633093637189103e-05], "optimization_time": 15.260217428207397} | 0.25 * (Z(0) @ Z(1)) + 0.0003099173553719008 * (Z(2) @ Z(0)) + 0.0003099173553719008 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0002066115702479339 * (Z(4) @ Z(0)) + -0.0008264462809917356 * (Z(4) @ Z(2)) + 0.0002066115702479339 * (Z(5) @ Z(1)) + -0.0008264462809917356 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.000826... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0189049586776444], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0189049586776, "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(-0.033) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0) q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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(x0) q[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
117d5eadcb002c843d1e10097e462227 | 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": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [23, 15], "expectation_value": -3.9991448582839038, "params": null, "bitstrings": ["101000", "110000"], "total_optimization_steps": 28, "probabilities": [0.06552908063149088, 0.933866261433082], "optimization_time": 18.234793424606323} | 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(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110000", "101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[0];
ry(1.4449) q[5];
ry(1.4449) q[4];
ry(1.4449) q[3];
cry(-1.0342) q[2], q[1];
ry(0.7003) q[2];
ry(-0.4549) q[1];
cry(0.4963) q[5], q[2];
cry(-0.3789) q[5], q[1];
cry(0.2489) q[4], q[2];
cry(-0.148... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
59c7bf586b1b6ff0483e10c6bee5d678 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [5, 7], "expectation_value": -3.6043811336846456, "params": [[[0.9911000000000001, 0.0018000000000000002], [1.1787, 0.0002], [1.1212, 0.0], [1.1802000000000001, 0.0027], [1.6023, 0.009600000000000001], [1.5907, 0.0058000000000000005], [1.5963, 0.0057]]], "bitstrings": ["1111010", "1111000"], "total_optimizat... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.9911) q[0];
rz(0.0018) q[0];
rx(1.1787) q[1];
rz(0.0002) q[1];
rx(1.1212) q[2];
rz(0) q[2];
rx(1.1802) q[3];
rz(0.0027) q[3];
rx(1.6023) q[4];
rz(0.0096) q[4];
rx(1.5907) q[5];
rz(0.0058) q[5];
rx(1.5963) q[6];
rz(0.0057) q[6];
c[0] = measure q[0];
c[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... | {"k": 4} | {"circuits": [], "gradients": []} |
5110709229938560831 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 4, 5], [2, 6, 7], [2, 3, 6], [0, 3], [8, 4], [3, 5, 7, 8, 9], [8, 1, 6, 7], [9, 2, 3], [8, 1, 3], [8, 0, 6, 9], [9, 4], [0, 7], [2, 3, 5, 7, 8]]} | {"states": [101, 923], "expectation_value": -0.8468443058936173, "params": [[[1.0909, 0.002], [1.07, 0.0078000000000000005], [2.1007000000000002, 0.0061], [1.065, 0.0048000000000000004], [2.0897, 0.0032], [1.0546, 0.0044], [2.1028000000000002, 0.0018000000000000002], [2.0933, 0.006200000000000001], [1.5170000000000001,... | 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.21666666666666667 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(6) @ Z(2)) + 0.21666666666666667 * (Z(7) @ Z(2)) + 0.1 * (Z(7) @ Z(5)) + 0.25 * (Z(7) @ Z(6)) + 0.3833333333333333 * (Z(3) @ Z(2)) + 0.1 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3)... | 2 | 10 | 1 | {"smallest_eigenvalues": [-4.316666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.033333333333333, "smallest_bitstrings": ["0001100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.0909) q[0];
rz(0.002) q[0];
rx(1.07) q[1];
rz(0.0078) q[1];
rx(2.1007) q[2];
rz(0.0061) q[2];
rx(1.065) q[3];
rz(0.0048) q[3];
rx(2.0897) q[4];
rz(0.0032) q[4];
rx(1.0546) q[5];
rz(0.0044) q[5];
rx(2.1028) q[6];
rz(0.0018) q[6];
rx(2.0933) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
047a6db213ec2347412434e39dcab446 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "so... | {"states": [248, 184], "expectation_value": -7.017257691228177, "params": [-0.0027, 0.8158000000000001, -0.006500000000000001, 0.0858, 0.48300000000000004, 0.40900000000000003, 0.9855, 0.38020000000000004, 0.7408, 0.3466, 1.1037000000000001, 0.234, 1.1, 0.0784, 1.0901, 0.5920000000000001, 0.8595, 0.4242, -0.0032, 0.821... | -0.5 * (Z(9) @ Z(2)) + -0.5 * (Z(10) @ Z(2)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @ Z(10)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(9)) + -1.0 * (Z(4) @ Z(10)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(10)) + 0.5 * (Z(5) @ Z(3)) +... | 18 | 11 | 2 | {"smallest_eigenvalues": [-9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332], "number_of_sm... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0027) q[0];
rz(0.8158) q[0];
rx(-0.0065) q[1];
rz(0.0858) q[1];
rx(0.483) q[2];
rz(0.409) q[2];
rx(0.9855) q[3];
rz(0.3802) q[3];
rx(0.7408) q[4];
rz(0.3466) q[4];
rx(1.1037) q[5];
rz(0.234) q[5];
rx(1.1) q[6];
rz(0.0784) q[6];
rx(1.0901) q[7];
rz(0.59... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
e2fd758a3afa6a51c78ff05fa92b78d0 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": 4, "target":... | {"states": [0, 448], "expectation_value": -14.959118170348416, "params": [-0.35860000000000003, 0.1111, -0.3598, 0.6456000000000001, -0.3507, 0.5639000000000001, -0.3552, 0.6435000000000001, -0.3534, 0.1052, -0.3457, 0.6776, 0.0009000000000000001, 0.6479, -0.0032, 0.6953, 0.001, 0.6376000000000001, 0.000900000000000000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(6)) + -3.0 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(3)) + -2.0 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 6 | 9 | 3 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["000111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.3586) q[0];
rz(0.1111) q[0];
rx(-0.3507) q[1];
rz(0.5639) q[1];
rx(-0.3534) q[2];
rz(0.1052) q[2];
rx(0.0009) q[3];
rz(0.6479) q[3];
rx(0.001) q[4];
rz(0.6376) q[4];
rx(0.3246) q[5];
rz(0.5477) q[5];
rx(0.0007) q[6];
rz(0.706) q[6];
rx(0.219) 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... | {"node": 4} | {"circuits": [], "gradients": []} |
0227fd0262660357a7db3e0f6c7f2278 | 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}], "edges": [{"weight": 2, "source": 0, "target": 3}, {"weight": 12, ... | {"states": [123, 118], "expectation_value": -19.06677844858652, "params": [[-0.038400000000000004, -0.0066], [0.0699, 0.0625]], "bitstrings": ["10000100", "10001001"], "total_optimization_steps": 10, "probabilities": [0.01091653622161821, 0.013300948924422809], "optimization_time": 5.287708282470703} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(0)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 11.5 * Z(1) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-66.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.3072) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3072) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3072) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.3072) q[3];
cx q[0], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6]}"} | {"circuits": [], "gradients": []} |
622d839e3a993053d188056ec230b393 | 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": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}, {"sour... | {"states": [255, 251], "expectation_value": -0.7055584005310807, "params": [[-0.0818], [0.0767]], "bitstrings": ["00000000", "00000100"], "total_optimization_steps": 10, "probabilities": [0.005582728085689938, 0.00572401937512231], "optimization_time": 1.3529553413391113} | -1.5 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(6) @ Z(7)) + 0.5 * Z(3) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) + -0.5 * Z(5) | 5 | 8 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["00000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(0.2454) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.3272) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(-0.0818) q[1];
cx q[0], q[1];
cx q[3], q[2];
rz(-0.0818) q[2];
cx q[3], q[2];
cx q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(x1) q[1];
cx q[... | {"node": 6} | {"circuits": [], "gradients": []} |
93141c357d164fcf2a36ba666f8f01e3 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [25, 22], "expectation_value": -1.5007434388240293, "params": null, "bitstrings": ["00110", "01001"], "total_optimization_steps": 29, "probabilities": [0.06723978163605852, 0.6325175128957774], "optimization_time": 22.208970069885254} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["00110", "01001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cry(-1.3016) q[2], q[4];
cry(-1.3016) q[3], q[1];
ry(1.0086) q[0];
cry(-0.4691) q[2], q[1];
cry(0.8314) q[2], q[3];
cry(-0.4269) q[3], q[4];
cry(0.8492) q[3], q[2];
cry(0.4128) q[2], q[0];
cry(-0.1403) q[0], q[1];
ry(0.2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.3016) q[2], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... |
f06cfa431b1d21951bd72bdc4807e338 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [24, 27], "expectation_value": -4.499934073599166, "params": null, "bitstrings": ["100111", "100100"], "total_optimization_steps": 25, "probabilities": [1.383409073205191e-05, 0.999948183846146], "optimization_time": 20.245787382125854} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(1) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[0];
ry(-1.5681) q[3];
ry(1.4449) q[2];
ry(1.4449) q[1];
ry(1.4449) q[4];
ry(1.4449) q[5];
cry(0.1187) q[4], q[5];
cry(0.1188) q[5], q[1];
cry(0.1188) q[1], q[2];
cry(0.1186) q[1], q[4];
cry(-0.0027)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
205922105371189302 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 3, 6], [1, 2, 3], [1, 2, 4, 5, 6], [3, 4], [0, 1, 2, 5, 6], [0, 1, 4], [0, 3, 5, 6]]} | {"states": [85, 106], "expectation_value": -0.26725923353137626, "params": [[0.16340000000000002], [-0.1499]], "bitstrings": ["0101010", "0010101"], "total_optimization_steps": 20, "probabilities": [0.010120159429895602, 0.010153853295423346], "optimization_time": 4.423821449279785} | 0.3 * (Z(0) @ Z(1)) + 0.25 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.18333333333333335 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.26666666666666666 * (Z(2) @ Z(1)) + 0.05 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.1 * (Z(2) @ Z(6)) + 0.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7333333333333334, "smallest_bitstrings": ["0010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.098) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0817) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0545) q[3];
cx q[0], q[3];
cx q[1], q[6];
rz(0.0599) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
be3312c5c1bc33b10be9c834d0af7350 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"source": 8, "target":... | {"states": [0, 495], "expectation_value": -3.785611023261301, "params": [0.654, 0.0674, -0.557, 0.0071, 0.7129000000000001, 0.27990000000000004, -0.6097, 0.0061, 0.7471, 0.405, -0.0217, 0.0073, 0.7729, 0.559, 0.1105, 0.0041, 0.6823, 0.2374, -0.2544, 0.0011, 0.7921, 0.6343, 0.2371, 0.009600000000000001, 0.80090000000000... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(4) | 6 | 9 | 1 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["000010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.654) q[0];
rz(0.0674) q[0];
rx(0.7129) q[1];
rz(0.2799) q[1];
rx(0.7471) q[2];
rz(0.405) q[2];
rx(0.7729) q[3];
rz(0.559) q[3];
rx(0.6823) q[4];
rz(0.2374) q[4];
rx(0.7921) q[5];
rz(0.6343) q[5];
rx(0.8009) q[6];
rz(0.7303) q[6];
rx(-0.8328) q[7];
rz(0.73... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": 5} | {"circuits": [], "gradients": []} |
a4daa78eacadb4897b1342c199df0ce1 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [50, 22], "expectation_value": -2.9459077414097696, "params": null, "bitstrings": ["1001101", "1101001"], "total_optimization_steps": 37, "probabilities": [0.051759288924052446, 0.7900196276995547], "optimization_time": 44.1742730140686} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(4) + 0.0 * Z(1) + -1.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.0, "smallest_bitstrings": ["1001110", "1101001", "1101010", "0011101", "1001101", "0010111", "0011110", "0111001", "0111010"]} | 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];
cry(-1.0342) q[5], q[6];
cry(-1.0342) q[4], q[1];
cry(-1.0342) q[2], q[0];
ry(0.7003) q[5];
ry(0.7003) q[4];
ry(0.7003) q[2];
ry(-0.4549) q[6];
ry(-0.4549) q[0];
ry(-0.4549) q[1];
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", ... |
5c8d577142051cc6578aa40532e6b2ab | 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": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 1, "s... | {"states": [255, 163], "expectation_value": -0.4715703616516265, "params": [[0.0717], [-0.0804]], "bitstrings": ["100000000", "101011100"], "total_optimization_steps": 10, "probabilities": [0.0026838453586479957, 0.002701740688811271], "optimization_time": 2.2931787967681885} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + 1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(7)) + -0.25 * (Z(8) @ Z(1)) + -1.5 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(8)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-8.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.75, "smallest_bitstrings": ["101011100"]} | 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[4], q[0];
rz(-0.0717) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(-0.0717) q[5];
cx q[0], q[5];
cx q[7], q[1];
rz(-0.0358) q[1];
cx q[7], q[1];
cx q[0], q[8];
rz(0.1792) q[8];
cx q[0], q[8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
1adba468d08e1435f811ffca287d3635 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 5}, {"capac... | {"states": [0, 1], "expectation_value": -17.849690690377827, "params": [-0.0019, 0.0037, 0.0027, 0.0056, 0.0023, 0.0029000000000000002, 0.0025, 0.004, 0.0027, 0.0094, 0.0024000000000000002, 0.0086, 0.0023, 0.0034000000000000002, 0.0023, 0.0082, 0.0023, 0.008, 1.5993000000000002, 0.0082, 0.0081, 0.0005, 0.0063, 0.005, 0... | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -1.25 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(3)) + -1.0 * (Z(8) @ Z(0)) + -1.25 * (Z(8) @ Z(6)) + -1.0 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(8)) + -0.75 * (Z(9) @ Z(1)) + 4.75 * (Z(9) @ Z(0)) + -0.75 * (Z(9)... | 3 | 10 | 1 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.25, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0019) q[0];
rz(0.0037) q[0];
rx(0.0027) q[1];
rz(0.0056) q[1];
rx(0.0023) q[2];
rz(0.0029) q[2];
rx(0.0025) q[3];
rz(0.004) q[3];
rx(0.0027) q[4];
rz(0.0094) q[4];
rx(0.0024) q[5];
rz(0.0086) q[5];
rx(0.0023) q[6];
rz(0.0034) q[6];
rx(0.0023) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
95afacefd1d05ffe5f924c1452decfea | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 4}, {"weight": 2, "source": 2, "target": 3}, {"weight": 18, "sourc... | {"states": [309, 181], "expectation_value": -37.826113721390655, "params": null, "bitstrings": ["011001010", "101001010"], "total_optimization_steps": 100, "probabilities": [0.07070721243147098, 0.4711976155173099], "optimization_time": 147.0278046131134} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(7)) + 6.5 * Z(1) + 0.0 * Z(0) + 14.0 * Z(3) + 1.0 * Z(2) + 7.0 * Z(4) + 8.5 * Z(5) + 12.0 * Z(6) + 4.0 * Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-62.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["101001010"]} | 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(22.4081) q[3];
ry(62.5063) q[6];
ry(-11.0064) q[5];
cry(-0.6016) q[5], q[3];
ry(0.2475) q[4];
cry(0.3226) q[5], q[4];
cry(-3.3779) q[4], q[3];
cry(1.0264) q[5], q[6];
cry(-0.3011) q[4],... | null | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(22.4081) 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] = ... |
c5d2a0621e9dcecb65eadc5509d4551e | max_flow | 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": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 6... | {"states": [1582, 1646], "expectation_value": -12.806895522724236, "params": [-0.0044, 0.5468000000000001, -0.0021000000000000003, 0.8038000000000001, 1.0708, 0.08800000000000001, 1.0702, 0.0103, 0.12090000000000001, 0.4224, 0.25520000000000004, 0.6468, 0.7429, 0.2447, 1.0453000000000001, 0.44630000000000003, 0.8952, 0... | -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + 1.0 * (Z(3) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(7)) + -0.5... | 18 | 13 | 3 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -13.0, "smallest_bitstrings": ["1100001000101", "1000100100001", "1100101010001", "1100101100001", "1000000000101", "1100010000101", "1000000000011... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(-0.0044) q[0];
rz(0.5468) q[0];
rx(-0.0021) q[1];
rz(0.8038) q[1];
rx(1.0708) q[2];
rz(0.088) q[2];
rx(1.0702) q[3];
rz(0.0103) q[3];
rx(0.1209) q[4];
rz(0.4224) q[4];
rx(0.2552) q[5];
rz(0.6468) q[5];
rx(0.7429) q[6];
rz(0.2447) q[6];
rx(1.0453) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
9b8c0ccb32d0f88d964f624767035a96 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [1, 9], "expectation_value": -11.499987376023428, "params": null, "bitstrings": ["11111110", "11110110"], "total_optimization_steps": 32, "probabilities": [1.2623237149556206e-05, 0.9999873766793562], "optimization_time": 25.5282986164093} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + 2.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + -0.75 * Z(6) + 0.75 * Z(2) + -1.0 * Z(3) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["11110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[7];
ry(-1.5708) q[0];
ry(-1.5708) q[1];
ry(-1.5708) q[6];
cry(-1.5681) q[7], q[3];
ry(-1.5706) q[2];
cry(-1.5708) q[7], q[5];
cry(1.4449) q[7], q[4];
ry(0.1188) q[4];
cry(-0.0027) q[4... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
d73d59d8534bb2db64056b6b376ab049 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.7071995544842041, "params": [[-0.0477, -0.057800000000000004, -0.0212], [0.0614, 0.0669, 0.0492]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.007481377643855475, 0.007804495373154454], "optimization_time": 4.987277507781982} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(2)) + 1.0 * (Z(7) @ Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(0.0477) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.0238) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.0238) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(0.0238) 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] 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": []} |
15981867526b451292338ffade4ee93e | 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": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [10, 42], "expectation_value": -3.0719332890006465, "params": null, "bitstrings": ["110101", "010101"], "total_optimization_steps": 34, "probabilities": [0.1326371409892334, 0.677494673987298], "optimization_time": 20.576407432556152} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["010101", "101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[1];
ry(-1.4449) q[0];
cry(-1.0398) q[4], q[5];
cry(-1.0398) q[2], q[3];
ry(0.7022) q[4];
ry(0.7022) q[2];
ry(-0.4578) q[3];
ry(-0.4578) q[5];
cry(0.4586) q[4], q[2];
cry(0.4522) q[2], q[4];
cry(-0.3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[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... |
-3942045383418848897 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[6, 7], [0, 2, 3, 7], [0, 2, 3, 4], [1, 2, 4, 5], [2, 4, 5, 6]]} | {"states": [45, 61], "expectation_value": -1.391485289267776, "params": null, "bitstrings": ["11010010", "11000010"], "total_optimization_steps": 55, "probabilities": [0.12642365257169122, 0.4809483761389371], "optimization_time": 75.56417727470398} | 0.5 * (Z(6) @ Z(7)) + 0.08333333333333333 * (Z(0) @ Z(7)) + 0.08333333333333333 * (Z(2) @ Z(7)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.416666666666667, "smallest_bitstrings": ["01010010", "11000010", "00001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.4449) q[2];
cry(-0.9726) q[7], q[6];
ry(0.7636) q[7];
ry(-0.496) q[6];
cry(0.4904) q[2], q[7];
ry(0.8394) q[4];
cry(-0.4158) q[2], q[6];
cry(0.4595) q[2], q[4];
cry(0.2306) q[4], 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];\nry(1.4449) 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[... |
bbe36c72142a04c8b1698fed3f77c25c | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target"... | {"states": [20, 17], "expectation_value": -6.904566714857111, "params": null, "bitstrings": ["01011", "01110"], "total_optimization_steps": 28, "probabilities": [0.13248903201254356, 0.656043561363698], "optimization_time": 20.489281177520752} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -3.0 * Z(1) + -2.5 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 16 | 5 | 2 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "01110", "01101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5709) q[1];
cry(-1.5708) q[4], q[2];
cry(-1.566) q[0], q[3];
ry(0.9826) q[0];
ry(0.5852) q[4];
ry(-0.4354) q[3];
ry(-0.2545) q[2];
cry(0.4118) q[0], q[4];
cry(-0.2536) q[0], q[2];
cry(0.1883) q[4], q[0];
cry(-0.142... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5709) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
834390fba4c480def6c6a26217d7a9af | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5... | {"states": [35, 33], "expectation_value": -0.37696045227173575, "params": [[-0.06770000000000001], [0.0636]], "bitstrings": ["1011100", "1011110"], "total_optimization_steps": 10, "probabilities": [0.00972843236295911, 0.009875065947067534], "optimization_time": 3.5497732162475586} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(1) @ Z(6)) + -0.75 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) + 1.5 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.0339) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.1016) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.1016) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.1016) q[4];
cx q[0], q[4];
cx q[0], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x1) q[3];
cx q[2], q[3]... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
206b6c7126e1a43a7c0a57973e02662d | max_flow | 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": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 6... | {"states": [179, 183], "expectation_value": -6.056438528053288, "params": [0.0028, 0.8885000000000001, 1.0809, 0.3745, 0.0786, 0.8787, 1.0385, 0.0196, 1.0478, 0.0077, -0.0032, 0.9191, 0.5511, 0.053500000000000006, 1.0587, 0.1763, 0.6528, 0.10110000000000001, 0.0024000000000000002, 0.8951, 1.0169000000000001, 0.57190000... | -0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + 0.5 ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000100", "101001000", "110001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0028) q[0];
rz(0.8885) q[0];
rx(1.0809) q[1];
rz(0.3745) q[1];
rx(0.0786) q[2];
rz(0.8787) q[2];
rx(1.0385) q[3];
rz(0.0196) q[3];
rx(1.0478) q[4];
rz(0.0077) q[4];
rx(-0.0032) q[5];
rz(0.9191) q[5];
rx(0.5511) q[6];
rz(0.0535) q[6];
rx(1.0587) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
8e4b273e62e3bdbcb042f56fe9c0bd31 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [44, 42], "expectation_value": -3.249898543594036, "params": null, "bitstrings": ["010011", "010101"], "total_optimization_steps": 27, "probabilities": [1.7118399797761745e-05, 0.9999492882952955], "optimization_time": 21.47649645805359} | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(5) @ Z(2)) + -0.25 * Z(0) + -0.25 * Z(2) + -0.75 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5486) q[1];
ry(-1.4449) q[3];
ry(-1.4449) q[5];
ry(1.4416) q[2];
ry(1.4416) q[0];
ry(1.4384) q[4];
cry(-0.1259) q[4], q[5];
cry(-0.1259) q[4], q[3];
cry(0.1243) q[2], q[4];
cry(0.1219) q[4], q[0];
cry(0.121... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) 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];\n", "OPENQASM 3.0;\ninclude \"stdga... |
edc3bac605c0e8fb4f027513dd92e8fb | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [20, 6], "expectation_value": -0.9187638705536126, "params": [[-0.06910000000000001, -0.0653, -0.0258], [0.0779, 0.0799, 0.0618]], "bitstrings": ["01011", "11001"], "total_optimization_steps": 10, "probabilities": [0.047146807566798885, 0.04714680756679893], "optimization_time": 3.2297043800354004} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + -0.5 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["01011", "11001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.0691) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0691) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0691) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.0691) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.0691) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
e6dcc679f346fee1e07ac4716aca0ef9 | 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": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [881, 883], "expectation_value": -3.051077177496902, "params": [[[0.003, -0.8867, 0.00030000000000000003, 0.007500000000000001], [0.0019, 0.8847, 0.0029000000000000002, 0.0006000000000000001], [1.5690000000000002, 0.0027, 1.5690000000000002, 0.008400000000000001], [1.5681, 0.0025, 1.5766, 0.005], [1.5703, -0... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(2) @ Z(8)) + 0.0625 * (Z(5) @ Z(6)) + 0.0625 * (Z(5) @ Z(7)) + 0.0625 * (Z(5) @ Z(8)) + 0.0625 * (Z(6) @ Z(7)) ... | 11 | 11 | 1 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.875, "smallest_bitstrings": ["10010001100", "10001001010", "10001011000", "10100001001", "01001001010", "10011001000", "10010001001", "01001101000",... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.003) q[0];
rz(-0.8867) q[0];
ry(0.0019) q[1];
rz(0.8847) q[1];
ry(1.569) q[2];
rz(0.0027) q[2];
ry(1.5681) q[3];
rz(0.0025) q[3];
ry(1.5703) q[4];
rz(-0.0023) q[4];
ry(-0.0187) q[5];
rz(0.5179) q[5];
ry(1.5728) q[6];
rz(0.002) q[6];
ry(1.2867) 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": []} |
1813943083919654776 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 3, 5], [2, 6, 8, 10, 11], [0, 4, 5, 6, 8], [0, 2, 3, 4, 8, 11], [3, 4, 6, 9, 11], [0, 11, 5, 6], [9, 10, 4, 7], [0, 1, 2, 5, 7, 9]]} | {"states": [2911, 2399], "expectation_value": -1.3062541267246068, "params": [1.3508, 1.3036, 0.66, 0.6669, 0.7216, 0.7180000000000001, 1.4171, 1.4179000000000002, 0.6975, 0.6938000000000001, 1.4055, 1.4123, 0.6915, 0.6838000000000001, 0.9125000000000001, 0.9528000000000001, 1.3904, 1.3905, 1.3797000000000001, 1.3847, ... | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.19999999999999998 * (Z(5) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(3)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(5)) + 0.05 * (Z(6) @ Z(3)) + 0.13333333333333333 * (Z(6) @ Z(5)) + 0.05 * (Z(6) @ Z(2)) + 0.033333... | 13 | 12 | 1 | {"smallest_eigenvalues": [-1.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8333333333333337, "smallest_bitstrings": ["011010100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.3508) q[0];
ry(0.66) q[1];
ry(0.7216) q[2];
ry(1.4171) q[3];
ry(0.6975) q[4];
ry(1.4055) q[5];
ry(0.6915) q[6];
ry(0.9125) q[7];
ry(1.3904) q[8];
ry(1.3797) q[9];
ry(1.3469) q[10];
ry(1.3515) q[11];
crz(-0.2182) q[11], q[0];
crz(-0.1311) q[10], q[11];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
117ccc69c95ca00a828c543c24e6991b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 8}, {"source": 2, "target": 4}, {"sour... | {"states": [26, 30], "expectation_value": -3.038518267489484, "params": [[[0.3917, -0.0045000000000000005], [0.12810000000000002, 0.1496], [-0.0002, -0.1948], [0.19310000000000002, 0.0898], [0.4043, 0.0001], [0.4012, 0.0009000000000000001], [0.3946, 0.0051], [0.4038, -0.0022], [-0.0015, -0.194]], [[0.3899, -0.004500000... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + -0.5 * Z(6) + 0.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(1) + -1.0 * Z(5) + -1.5 * Z(... | 1 | 9 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.0, "smallest_bitstrings": ["001101101", "111100001", "011000111", "111000011", "101101001", "011100101", "000111101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3917) q[0];
rz(-0.0045) q[0];
rx(0.1281) q[1];
rz(0.1496) q[1];
rx(-0.0002) q[2];
rz(-0.1948) q[2];
rx(0.1931) q[3];
rz(0.0898) q[3];
rx(0.4043) q[4];
rz(0.0001) q[4];
rx(0.4012) q[5];
rz(0.0009) q[5];
rx(0.3946) q[6];
rz(0.0051) q[6];
rx(0.4038) 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": []} |
7b818c8ec162e8301f68d533e4cb4331 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [2706, 2698], "expectation_value": -34.9155676549783, "params": [[0.39790000000000003, 0.0053, 0.3996, 0.2533, 0.40690000000000004, -0.0009000000000000001, 0.003, 0.406, 0.404, 0.0011, 0.4036, -0.0051], [0.4016, -0.0184, 0.4037, 0.35550000000000004, 0.3977, 0.025500000000000002, 0.0027, 0.40240000000000004, ... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(2) @ Z(0)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(4) @ Z(2)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(7) @ Z(0)) + 8.0 * (Z(7) @ Z(2)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(10) @ Z(0)) + 8.0 * (Z(10) @ Z(2)) + 8.0 * (Z(10) @ Z(7)) + 8.0 * (Z(11) @ Z(10)) + 23.0 * ... | 10 | 12 | 3 | {"smallest_eigenvalues": [-163.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -141.0, "smallest_bitstrings": ["010101110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.3979) q[0];
ry(0.0053) q[1];
ry(0.3996) q[2];
ry(0.2533) q[3];
ry(0.4069) q[4];
ry(-0.0009) q[5];
ry(0.003) q[6];
ry(0.406) q[7];
ry(0.404) q[8];
ry(0.0011) q[9];
ry(0.4036) q[10];
ry(-0.0051) q[11];
cz q[11], q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
36ff2850f9ca4956ff6a75a44d9ad0dc | 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": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [1370, 1374], "expectation_value": -1.430890671428344, "params": [[0.9952000000000001, 0.5674, 0.615, 0.548, 0.997, 0.4933, 1.0049000000000001, 0.9923000000000001, 1.0009000000000001, 1.0045, -0.0325], [0.996, 0.18150000000000002, 0.7692, 0.6965, 0.6253000000000001, 0.34400000000000003, 0.3005, 0.2921, 0.173... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(5) @ Z(6) @ Z(7)) + 0.125 * (Z(5) @ Z(1)... | 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, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 26, "first_excited_energy": -2.25, "smallest_bitstrings": ["01010001001", "10... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.9952) q[0];
ry(0.5674) q[1];
ry(0.615) q[2];
ry(0.548) q[3];
ry(0.997) q[4];
ry(0.4933) q[5];
ry(1.0049) q[6];
ry(0.9923) q[7];
ry(1.0009) q[8];
ry(1.0045) q[9];
ry(-0.0325) q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
b23cde890d8b1ae4239a91aa0ab68c6f | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 18, "source": 1, "target": 6}, {"weight": 4, "source... | {"states": [210, 218], "expectation_value": -37.77473885339044, "params": null, "bitstrings": ["100101101", "100100101"], "total_optimization_steps": 100, "probabilities": [0.06468292534351298, 0.3399779401094175], "optimization_time": 158.89283442497253} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-90.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.5, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-7.2777) q[7];
ry(44.8037) q[5];
ry(-5.5812) q[2];
ry(-8.6927) q[4];
cry(17.0184) q[2], q[5];
ry(0.003) q[6];
cry(-0.7724) q[2], q[6];
cry(-40.3733) q[2], q[4];
ry(37.5019) q[1];
cry(-8... | null | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-7.2777) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
87c3ced1ef7832360d99a2d1828a4d93 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [10, 12], "expectation_value": -4.474105370885989, "params": null, "bitstrings": ["110101", "110011"], "total_optimization_steps": 15, "probabilities": [0.07397893941132597, 0.9005734987526041], "optimization_time": 13.42916464805603} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["111010", "011011", "110101", "110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
ry(-1.5681) q[0];
ry(-1.4449) q[5];
ry(1.4417) q[2];
cry(-1.0398) q[3], q[4];
ry(0.7022) q[3];
ry(-0.4578) q[4];
cry(0.4969) q[2], q[3];
cry(-0.3761) q[2], q[4];
cry(-0.1216) q[2], q[5];
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[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... |
4743a42b98680c4f321c8f72a752812d | max_flow | 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": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 4, "source": 3, "target": 4}, {"capaci... | {"states": [511, 447], "expectation_value": -10.209908860346495, "params": [0.48360000000000003, -0.0005, 0.4833, 0.0007, 0.48860000000000003, -0.0023, 0.49060000000000004, 0.0007, -0.3987, -0.0077, -0.39740000000000003, 0.015600000000000001, 0.5061, -0.0034000000000000002, 0.5027, 0.0043, 0.5006, -0.009600000000000001... | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(8)) + 1.0 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(8)) + 2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6... | 6 | 9 | 2 | {"smallest_eigenvalues": [-12.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.833333333333334, "smallest_bitstrings": ["001000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.4836) q[0];
rz(-0.0005) q[0];
rx(0.4886) q[1];
rz(-0.0023) q[1];
rx(-0.3987) q[2];
rz(-0.0077) q[2];
rx(0.5061) q[3];
rz(-0.0034) q[3];
rx(0.5006) q[4];
rz(-0.0096) q[4];
rx(0.4906) q[5];
rz(-0.0009) q[5];
rx(0.4991) q[6];
rz(0.0012) q[6];
rx(-0.3127) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
fb354d60453679d679afcbc2ef259e36 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [243, 227], "expectation_value": -1.2928512380645152, "params": [0.6981, -0.005200000000000001, 0.6943, -0.10790000000000001, 0.7034, -0.1037, 0.4868, -0.10200000000000001, 0.0534, 0.3236, 0.2278, -0.21580000000000002, 0.6944, 0.0776, 0.7063, 0.1779, 0.7021000000000001, 0.0162, 0.6913, -0.13240000000000002, ... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 16 | 8 | 3 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.125, "smallest_bitstrings": ["00011100", "01001010", "10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.6981) q[0];
rz(-0.0052) q[0];
rx(0.6943) q[1];
rz(-0.1079) q[1];
rx(0.7034) q[2];
rz(-0.1037) q[2];
rx(0.4868) q[3];
rz(-0.102) q[3];
rx(0.0534) q[4];
rz(0.3236) q[4];
rx(0.2278) q[5];
rz(-0.2158) q[5];
rx(0.6944) q[6];
rz(0.0776) q[6];
rx(0.7063) 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": []} |
5858071307886632566 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 2, 5, 7, 9], [0, 1, 2, 6, 8, 10], [0, 3, 4, 5, 6, 8, 9, 10, 11], [0, 2, 3, 5, 6, 8], [1, 3, 4, 6, 7, 8, 9, 10, 11], [0, 9, 3, 1], [0, 1, 4, 6, 7, 8, 9], [1, 2, 3, 4, 6], [2, 3, 5, 6, 7, 8, 10], [1, 2, 3, 5, 6, 7, 8, 9, 11], [0, 3, 5, 7, 8, 9, 10], [0,... | {"states": [4092, 4084], "expectation_value": -2.8611353826275043, "params": [1.8163, 0.0033, 2.1372, -0.0024000000000000002, 2.3065, -0.0023, 2.4094, -0.0024000000000000002, 2.5816000000000003, -0.0036000000000000003, 2.6712000000000002, -0.0034000000000000002, 2.6818, 0.0033, 2.6990000000000003, 0.0036000000000000003... | 0.13055555555555556 * (Z(0) @ Z(4)) + 0.21825396825396826 * (Z(7) @ Z(4)) + 0.15873015873015872 * (Z(7) @ Z(0)) + 0.10158730158730159 * (Z(9) @ Z(4)) + 0.1253968253968254 * (Z(9) @ Z(0)) + 0.1253968253968254 * (Z(9) @ Z(7)) + 0.09166666666666667 * (Z(11) @ Z(4)) + 0.2464285714285714 * (Z(11) @ Z(0)) + 0.153174603174603... | 4 | 12 | 1 | {"smallest_eigenvalues": [-3.014285714285713], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.9785714285714286, "smallest_bitstrings": ["000000001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.8163) q[0];
rz(0.0033) q[0];
rx(2.1372) q[1];
rz(-0.0024) q[1];
rx(2.3065) q[2];
rz(-0.0023) q[2];
rx(2.4094) q[3];
rz(-0.0024) q[3];
rx(2.5816) q[4];
rz(-0.0036) q[4];
rx(2.6712) q[5];
rz(-0.0034) q[5];
rx(2.6818) q[6];
rz(0.0033) q[6];
rx(2.699) 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": []} |
35afd4cd3dcd327db2f1b4589e236376 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "ta... | {"states": [69, 197], "expectation_value": -3.5110713330140935, "params": [0.39890000000000003, 0.0004, 0.4017, -0.0023, 0.1288, 0.1511, 0.0012000000000000001, 0.2164, 0.0021000000000000003, 0.22410000000000002, 0.402, 0.007, 0.0079, 0.18680000000000002, 0.4025, 0.0018000000000000002, 0.399, 0.0002, 0.39880000000000004... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(6) + -1.5 * Z(4) + 0.0 * Z(... | 3 | 8 | 4 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["00111010", "10111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3989) q[0];
rz(0.0004) q[0];
rx(0.4017) q[1];
rz(-0.0023) q[1];
rx(0.1288) q[2];
rz(0.1511) q[2];
rx(0.0012) q[3];
rz(0.2164) q[3];
rx(0.0021) q[4];
rz(0.2241) q[4];
rx(0.402) q[5];
rz(0.007) q[5];
rx(0.0079) q[6];
rz(0.1868) q[6];
rx(0.4025) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
0ae9b6f2b61290137ab22e2dafb0c164 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [93, 89], "expectation_value": -0.25179142275245125, "params": [0.6026, 0.1376, 0.3234, 0.17220000000000002, 0.5985, 0.0753, 0.6022000000000001, -0.0727, 0.4902, -0.084, 0.3352, 0.1374, 0.6006, 0.09240000000000001, 0.6015, 0.1322, 0.32680000000000003, 0.157, 0.5994, 0.1041, 0.6023000000000001, -0.0728, 0.493... | 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)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) ... | 18 | 7 | 3 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -1.0, "smallest_bitstrings": ["1000011", "0111000", "1010010", "0101100", "0101001", "0010110", "1100001", "0100110", "0100101", "1000110", "0011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.6026) q[0];
rz(0.1376) q[0];
rx(0.3234) q[1];
rz(0.1722) q[1];
rx(0.5985) q[2];
rz(0.0753) q[2];
rx(0.6022) q[3];
rz(-0.0727) q[3];
rx(0.4902) q[4];
rz(-0.084) q[4];
rx(0.3352) q[5];
rz(0.1374) q[5];
rx(0.6006) q[6];
rz(0.0924) q[6];
crz(-0.0497) q[6], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
1acf7607c7ee29e36b87a4b01083b206 | 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": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "source": 3, "target": 5}, {"capaci... | {"states": [0, 31], "expectation_value": -4.321755810958478, "params": [[[0.0035, 0.5254], [-0.0036000000000000003, 0.0028], [-0.0029000000000000002, -0.0025], [-0.0029000000000000002, -0.003], [-0.0046, 0.2917], [-1.3891, -0.0056]], [[-0.2939, -1.6505], [-0.003, -0.5323], [-0.0033, -0.003], [-0.0029000000000000002, -0... | -1.5 * (Z(0) @ Z(4)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + -1.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(5) | 15 | 6 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(0.0035) q[0];
ry(-0.0036) q[1];
ry(-0.0029) q[2];
ry(-0.0029) q[3];
ry(-0.0046) q[4];
ry(-1.3891) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(0.5254) q[0];
ry(0.0028) q[1];
ry(-0.0025) q[2];
ry(-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[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
7e799239f8573f120a2c5e15cda2e88f | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}]} | {"states": [12, 8], "expectation_value": -0.13648113033530235, "params": [[0.0687, 0.0639], [-0.061900000000000004, -0.050300000000000004]], "bitstrings": ["0011", "0111"], "total_optimization_steps": 10, "probabilities": [0.07033223259248922, 0.07092967547460308], "optimization_time": 1.387007713317871} | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + -0.75 * Z(1) + -0.75 * Z(2) + -0.25 * Z(0) + -1.0 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["0111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[1];
rz(0.0343) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0343) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0343) q[0];
cx q[2], q[0];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0343) q[0];
cx q[1], q[0];
cx q[2], q[1];
cx q[3], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
1bfab1c4d5c093616acd865a51313487 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 4, "... | {"states": [1023, 4095], "expectation_value": -14.31196461880188, "params": null, "bitstrings": ["110000000000", "000000000000"], "total_optimization_steps": 100, "probabilities": [0.11045933741335803, 0.3314017576251243], "optimization_time": 254.8802673816681} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + -2.0 * (Z(9) @ Z(7)) + 1.0 * (Z(9) @ Z(6)) + -2.0 * (Z(9) @ Z(8)) + -1.5 * (Z(11) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0)... | 1 | 12 | 1 | {"smallest_eigenvalues": [-17.5, -17.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -16.5, "smallest_bitstrings": ["000000000000", "000000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cry(1.5706) q[8], q[9];
ry(1.056) q[8];
cry(1.5708) q[7], q[6];
ry(1.115) q[7];
ry(0.556) q[6];
ry(0.5144) q[9];
cry(1.5706) q[2], q[5];
ry(1.056) q[2];
cry(1.5... | null | {"node": 10} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5706) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure... |
9e72b7dd0d69a46b7f007aaed5517323 | 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": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}]} | {"states": [22, 19], "expectation_value": -2.989065658799344, "params": null, "bitstrings": ["101001", "101100"], "total_optimization_steps": 29, "probabilities": [0.06023624493004092, 0.8645378003122703], "optimization_time": 18.37952423095703} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["011100", "011001", "101001", "101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[2];
ry(1.4449) q[4];
cry(-1.0342) q[5], q[3];
cry(-1.0342) q[1], q[0];
ry(0.7003) q[5];
ry(0.7003) q[1];
ry(-0.4549) q[3];
cry(0.4963) q[4], q[5];
ry(-0.4549) q[0];
cry(0.4963) q[4], q[1];
cry(-0.37... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
8f4da54127eaef3ad4283690d95e9ab5 | connected_components | 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": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [13, 31], "expectation_value": -8.712460396440976, "params": null, "bitstrings": ["110010", "100000"], "total_optimization_steps": 62, "probabilities": [0.09122369462852029, 0.5643797964401448], "optimization_time": 61.14413046836853} | -2.5 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(5) + -0.5 * Z(0) | 5 | 6 | 1 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "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[5], q[1];
cry(1.5708) q[1], q[2];
cry(1.5357) q[2], q[3];
cry(1.1916) q[2], q[5];
ry(-1.4469) q[1];
cry(0.3195) q[3], q[1];
cry(0.063) q[2], q[1];
cry(1.163) q[4], q[1];
cry(0.7985) q[0], q[1];
cry(... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5708) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... |
6eeafc1802cd635d6723c166bcb76122 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3... | {"states": [3, 1], "expectation_value": -0.17491263269466703, "params": [[-0.0438, -0.0397], [0.0534, 0.0475]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.009137186765812644, 0.009330004485842421], "optimization_time": 3.84346866607666} | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -1.25 * Z(4) + -0.25 * Z(0) + 0.5 * Z(6) + 0.0 * Z(2) + 0.75 * Z(1) + -0.25 * Z(3) + 0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25, -4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.25, "smallest_bitstrings": ["1000100", "1000110", "1111100", "1111110", "1010100", "1010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(0.0438) q[0];
cx q[4], q[0];
cx q[4], q[6];
rz(0.0219) q[6];
cx q[4], q[6];
cx q[0], q[6];
rz(-0.0657) q[6];
cx q[0], q[6];
cx q[4], q[2];
rz(0.0438) q[2];
cx q[4], q[2];
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] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
4c4c1b0ff5a7edb7e915cb00e660c01a | 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": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target":... | {"states": [11, 267], "expectation_value": -6.701186857371385, "params": [[[-0.0035, 0.0019], [1.6419000000000001, 0.0045000000000000005], [0.09000000000000001, 0.0037], [-0.0047, 0.005], [-0.0035, 0.007200000000000001], [0.0028, 0.0076], [1.7016, 0.0009000000000000001], [1.4827000000000001, 0.0048000000000000004], [1.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(9) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["1111100001", "1011110100", "1101101001", "1111110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0035) q[0];
rz(0.0019) q[0];
rx(1.6419) q[1];
rz(0.0045) q[1];
rx(0.09) q[2];
rz(0.0037) q[2];
rx(-0.0047) q[3];
rz(0.005) q[3];
rx(-0.0035) q[4];
rz(0.0072) q[4];
rx(0.0028) q[5];
rz(0.0076) q[5];
rx(1.7016) q[6];
rz(0.0009) q[6];
rx(1.4827) 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... | null | {"circuits": [], "gradients": []} |
5575b19e97d5a5b0b45755000e82f544 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 1, "s... | {"states": [510, 115], "expectation_value": -4.077287622061331, "params": [[-0.1839], [0.1799]], "bitstrings": ["000000001", "110001100"], "total_optimization_steps": 20, "probabilities": [0.010393112800794434, 0.011054851025005447], "optimization_time": 3.761556386947632} | -0.75 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(7) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(7)) + -0.75 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(7)) + -0.5 * (Z(4) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-14.0, -14.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.0, "smallest_bitstrings": ["110001000", "110001100"]} | 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(0.2759) q[0];
cx q[1], q[0];
cx q[1], q[6];
rz(0.2759) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(0.1839) q[6];
cx q[0], q[6];
cx q[1], q[5];
rz(0.3678) q[5];
cx q[1], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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": []} |
8cffed0a6ee313f29bb5a21cb84f4001 | 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": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [215, 213], "expectation_value": -2.994302118436843, "params": [0.0637, 0.062, 1.2979, 1.3031000000000001, 1.3027, 1.2968, -0.002, -0.0032, 1.3041, 1.2984, 0.0592, 0.041100000000000005, 1.0743, 1.0486, 1.3046, 1.2965, 1.2964, 1.2809000000000001, 0.0758, 1.2203000000000002, 1.2899, 0.9212, 0.3159, 0.0907, -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(4) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(7) @ Z(1)) + 0.0625 * (Z(8) @ Z(1)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(7) @ Z(4)) + 0.0625 * (Z(4) @ Z(8)) + 0... | 14 | 9 | 1 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.5625, "smallest_bitstrings": ["110101000", "100110001", "001101100", "100111000", "100101100", "001110100", "010101100", "100101010", "100... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0637) q[0];
ry(1.2979) q[1];
ry(1.3027) q[2];
ry(-0.002) q[3];
ry(1.3041) q[4];
ry(0.0592) q[5];
ry(1.0743) q[6];
ry(1.3046) q[7];
ry(1.2964) q[8];
crx(0.0758) q[8], q[0];
crx(0.8365) q[7], q[8];
crx(0.4651) q[6], q[7];
crx(1.2785) q[5], q[6];
crx(0.5683)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
864f213918e4b694952e53439a24874e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capac... | {"states": [280, 281], "expectation_value": -7.483149659072627, "params": [-0.0015, -0.2154, 0.0018000000000000002, -0.24580000000000002, 0.3748, 0.11470000000000001, 0.37610000000000005, 0.06720000000000001, 0.0031000000000000003, -0.1658, 0.0073, -0.16090000000000002, -0.007200000000000001, -0.2102, -0.0001, -0.254, ... | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + 1.25 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(1)) + -0.75 * (Z(7) @ Z(3)) + -0.25 * (Z(4) @ Z(9)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(6) @ Z(9)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(8) @ Z(2)) + -0.25 * (Z(8) @... | 5 | 10 | 4 | {"smallest_eigenvalues": [-8.5, -8.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.5, "smallest_bitstrings": ["1011000110", "1011100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0015) q[0];
rz(-0.2154) q[0];
rx(0.3748) q[1];
rz(0.1147) q[1];
rx(0.0031) q[2];
rz(-0.1658) q[2];
rx(-0.0072) q[3];
rz(-0.2102) q[3];
rx(-0.0014) q[4];
rz(-0.2355) q[4];
rx(0.3782) q[5];
rz(0.1195) q[5];
rx(0.3697) q[6];
rz(0.1147) q[6];
rx(0.0013) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
1c92797ebdc5766ffafd498d21cf8a8a | 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": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": ... | {"states": [362, 363], "expectation_value": -2.1218301065528307, "params": [2.3637, 0.0028, 0.09240000000000001, 0.008400000000000001, 2.6431, 0.008400000000000001, 3.0915000000000004, 0.004, -0.0021000000000000003, 0.0016, 3.0934, 0.0015, 0.8865000000000001, 0.007, 3.093, 0.0043, 1.6018000000000001, 0.004, 0.009000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(0) @ Z(3) ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.125, "smallest_bitstrings": ["010010100", "100010001", "001100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(2.3637) q[0];
rz(0.0028) q[0];
rx(0.0924) q[1];
rz(0.0084) q[1];
rx(2.6431) q[2];
rz(0.0084) q[2];
rx(3.0915) q[3];
rz(0.004) q[3];
rx(-0.0021) q[4];
rz(0.0016) q[4];
rx(3.0934) q[5];
rz(0.0015) q[5];
rx(0.8865) q[6];
rz(0.007) q[6];
rx(3.093) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
4789677601492509849 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 1], [0, 2], [1, 2], [0, 3]]} | {"states": [5, 10], "expectation_value": -0.047845920123428476, "params": [[0.0784], [-0.0782]], "bitstrings": ["1010", "0101"], "total_optimization_steps": 10, "probabilities": [0.06553799320867651, 0.06553799320867651], "optimization_time": 0.8573343753814697} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0, -1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": 0.0, "smallest_bitstrings": ["1100", "1010", "1000", "0111", "0101", "0011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(0.0784) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0784) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0784) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.0784) q[3];
cx q[0], q[3];
rz(0) q[1];
rz(0) q[0];
rz(0) q[2];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[... | null | {"circuits": [], "gradients": []} |
171e704e65359d5a57d8a8e54db87dfb | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 2, ... | {"states": [55, 53], "expectation_value": -11.499999939041139, "params": null, "bitstrings": ["11001000", "11001010"], "total_optimization_steps": 45, "probabilities": [4.0034557302040344e-08, 0.9999999557875574], "optimization_time": 40.026790618896484} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + 1.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @... | 1 | 8 | 3 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["11001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[2];
cry(1.5708) q[2], q[3];
cry(1.5706) q[2], q[5];
cry(1.5706) q[5], q[7];
ry(-1.5708) q[0];
ry(-1.5681) q[1];
cry(-1.5681) q[2], q[4];
ry(-1.4449) q[6];
cry(-0.1188) q[5], q[6];
cry... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[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[... |
-987449460056450035 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 4, 5, 7, 8], [0, 9], [0, 1, 2, 3, 4, 6, 7, 8], [0, 1, 4, 5, 6, 7, 10], [2, 3, 5, 7, 9], [9, 10], [0, 1, 10, 3], [0, 2, 3, 6, 7, 8, 10], [1, 3, 4, 7, 8, 10], [1, 5, 6, 7, 9], [8, 9, 5], [1, 2, 3, 4, 5, 7], [2, 4, 5, 6, 10], [3, 5, 7, 8, 10], [0, 1, 5, 6, 8... | {"states": [1829, 1837], "expectation_value": -3.556245237383507, "params": [[[2.8444000000000003, 0.0074], [3.1392, 0.0089], [3.1390000000000002, 0.00030000000000000003], [1.1620000000000001, 0.0063], [0.6425000000000001, 0.0007], [3.1392, 0.0], [1.1397000000000002, 0.00030000000000000003], [1.6256000000000002, 0.0036... | 0.15833333333333333 * (Z(1) @ Z(4)) + 0.15714285714285714 * (Z(5) @ Z(4)) + 0.20714285714285713 * (Z(5) @ Z(1)) + 0.15833333333333333 * (Z(7) @ Z(4)) + 0.20833333333333331 * (Z(7) @ Z(1)) + 0.2571428571428571 * (Z(7) @ Z(5)) + 0.10119047619047619 * (Z(8) @ Z(4)) + 0.1511904761904762 * (Z(8) @ Z(1)) + 0.3166666666666666... | 1 | 11 | 1 | {"smallest_eigenvalues": [-4.058333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.7809523809523817, "smallest_bitstrings": ["00011010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(2.8444) q[0];
rz(0.0074) q[0];
rx(3.1392) q[1];
rz(0.0089) q[1];
rx(3.139) q[2];
rz(0.0003) q[2];
rx(1.162) q[3];
rz(0.0063) q[3];
rx(0.6425) q[4];
rz(0.0007) q[4];
rx(3.1392) q[5];
rz(0) q[5];
rx(1.1397) q[6];
rz(0.0003) q[6];
rx(1.6256) q[7];
rz(0.0036)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
1f5d7944e50ebc48c654989c65672b6f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "source": 1, ... | {"states": [33, 1], "expectation_value": -1.6090430136663922, "params": [[-0.07100000000000001, -0.0826, -0.07740000000000001], [0.0666, 0.077, 0.0747]], "bitstrings": ["11011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.011832222528985128, 0.014891466308122384], "optimization_time": 8.57334876... | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + 1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 1.0 * Z(7) + -1.2... | 1 | 8 | 3 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.071) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.1065) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0355) q[3];
cx q[0], q[3];
cx q[0], q[7];
rz(-0.142) q[7];
cx q[0], q[7];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
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