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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
5a1f4c0428a11f53f00fec7780697090 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [23, 3], "expectation_value": -14.458346250095168, "params": null, "bitstrings": ["1101000", "1111100"], "total_optimization_steps": 56, "probabilities": [0.2784160684522576, 0.32931099425417054], "optimization_time": 80.75792145729065} | -2.5 * (Z(0) @ Z(1)) + -3.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -3.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 1.5 * (Z(3) @ Z(4)) + 1.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(4)) + -2.5 * (Z(2) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -2.0 * Z(1) + -2.0 * Z(0) + -2.5 * Z(4) + -2.5 * Z(3) + 1.5 * Z(2) + 0.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
ry(-0.4397) q[1];
cry(-1.1307) q[2], q[1];
ry(-1.5708) q[4];
ry(-0.3154) q[0];
cry(-1.2514) q[2], q[0];
cry(-0.0425) q[6], q[1];
ry(-1.3126) q[2];
cry(-0.395) q[5], q[1];
cry(-0.5832) q[... | null | {"node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) 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", ... |
-7461145682628880774 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 4, 6], [0, 4, 6, 7, 8], [0, 1, 4, 6, 7], [8, 1, 4, 7], [0, 1, 2, 3, 4, 5, 8], [1, 2, 3, 4, 5, 6, 8], [0, 2, 3, 5, 7], [0, 1, 3, 5, 6, 8], [0, 1, 2, 5, 7]]} | {"states": [254, 487], "expectation_value": -1.3032094896078676, "params": [[-0.4791], [0.44970000000000004]], "bitstrings": ["100000001", "000011000"], "total_optimization_steps": 50, "probabilities": [0.008442494799850396, 0.008833486599355204], "optimization_time": 7.134840488433838} | 0.19047619047619047 * (Z(0) @ Z(3)) + 0.13095238095238093 * (Z(4) @ Z(3)) + 0.20714285714285716 * (Z(4) @ Z(0)) + 0.14047619047619048 * (Z(6) @ Z(3)) + 0.21666666666666667 * (Z(6) @ Z(0)) + 0.20714285714285716 * (Z(6) @ Z(4)) + 0.05 * (Z(7) @ Z(3)) + 0.2 * (Z(7) @ Z(0)) + 0.18333333333333335 * (Z(7) @ Z(4)) + 0.1 * (Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.8476190476190473], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.833333333333333, "smallest_bitstrings": ["000011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[0];
rz(-0.1825) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.1255) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.1985) q[4];
cx q[0], q[4];
cx q[3], q[6];
rz(-0.1346) q[6];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} |
-2692663721775254224 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1], [0, 8, 2], [2, 3, 4, 7], [8, 4], [8, 5], [3, 6]]} | {"states": [478, 504], "expectation_value": -0.7188309894911927, "params": [[-0.3282], [0.3178]], "bitstrings": ["000100001", "000000111"], "total_optimization_steps": 40, "probabilities": [0.00631901822286591, 0.006335937868886835], "optimization_time": 1.5481939315795898} | 0.5 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.08333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.583333333333333, -2.583333333333333, -2.583333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["000100001", "000000111", "110011100"]} | 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[8];
rz(-0.3282) q[8];
cx q[1], q[8];
cx q[8], q[0];
rz(-0.1094) q[0];
cx q[8], q[0];
cx q[8], q[2];
rz(-0.1094) q[2];
cx q[8], q[2];
cx q[0], q[2];
rz(-0.1094) q[2];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[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[8];
rz(x0) q[8];
... | null | {"circuits": [], "gradients": []} |
-2545224297446918027 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 6], [0, 4, 5, 6], [0, 1, 2, 5], [0, 2, 6], [2, 4, 6], [2, 3]]} | {"states": [19, 116], "expectation_value": -0.2710824803214846, "params": [[-0.17270000000000002], [0.1711]], "bitstrings": ["1101100", "0001011"], "total_optimization_steps": 20, "probabilities": [0.011296218516364956, 0.011302312961525824], "optimization_time": 1.022104263305664} | 0.5 * (Z(1) @ Z(6)) + 0.25 * (Z(0) @ Z(6)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.25 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(6)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.083333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["0001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[1];
rz(-0.1727) q[1];
cx q[6], q[1];
cx q[6], q[0];
rz(-0.0864) q[0];
cx q[6], q[0];
cx q[1], q[0];
rz(-0.0288) q[0];
cx q[1], q[0];
cx q[6], q[4];
rz(-0.0864) q[4];
cx q[6], q[4];
cx q[0], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
9095e01fec1c7dde28fd91275bba3fc5 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6}, {"capac... | {"states": [0, 1], "expectation_value": -23.39077403169714, "params": [0.0055000000000000005, -0.1341, 0.0005, -0.2793, 0.001, -0.3004, 0.0058000000000000005, -0.2612, 0.002, -0.2864, 0.0015, -0.2858, 0.0048000000000000004, -0.2606, 0.0009000000000000001, -0.29450000000000004, -0.0, -0.1988, 0.004200000000000001, -0.21... | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(6)) + 3.5 * (Z(9) @ Z(0)) + -1.25 * (Z(9) @ Z(5)) + -1.5 * (Z(2) @ Z(1)) + -1.75 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(8)) + -0.75 * (Z(2) @... | 5 | 10 | 2 | {"smallest_eigenvalues": [-26.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.25, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0055) q[0];
rz(-0.1341) q[0];
rx(0.001) q[1];
rz(-0.3004) q[1];
rx(0.002) q[2];
rz(-0.2864) q[2];
rx(0.0048) q[3];
rz(-0.2606) q[3];
rx(0) q[4];
rz(-0.1988) q[4];
rx(0.0046) q[5];
rz(-0.2646) q[5];
rx(0.0003) q[6];
rz(-0.2639) q[6];
rx(-0.0003) 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": []} |
3c01ab65d1a16535fdf3b1017527aaee | 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": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "s... | {"states": [1, 255], "expectation_value": -0.3713855824474349, "params": [[0.061700000000000005, 0.0752], [-0.0402, -0.07010000000000001]], "bitstrings": ["111111110", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0031304845010902, 0.0031740731428303443], "optimization_time": 3.2392044067382812} | -0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + 0.0 * Z(5) + -0.25 * Z(0) + 0.0 * Z(1) + ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["100000000", "111111110", "111101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[0];
rz(-0.0309) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(-0.0617) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.1234) q[2];
cx q[5], q[2];
cx q[1], q[2];
rz(-0.0617) q[2];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": 8} | {"circuits": [], "gradients": []} |
b7eaf66301f9b7c8d4f947444be4cce6 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7},... | {"states": [1967, 1983], "expectation_value": -6.929564786955221, "params": [0.6157, 0.38970000000000005, 0.3612, 1.1786, 0.6071000000000001, 0.6933, 0.15910000000000002, 0.9778, 0.6424000000000001, 0.8961, -0.2696, 0.6756, 0.6382, 0.9928, -0.5328, 0.6289, -0.6247, 0.8921, -0.0031000000000000003, 0.6409, -0.6612, 1.102... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(10)) + -1.0 * (Z(2) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(10) + 0.5 * Z(9) + 0.5 * Z(3) + 0.5 * Z(2) + -0.5 * Z(4) | 6 | 11 | 2 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["00001000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.6157) q[0];
rz(0.3897) q[0];
rx(0.6071) q[1];
rz(0.6933) q[1];
rx(0.6424) q[2];
rz(0.8961) q[2];
rx(0.6382) q[3];
rz(0.9928) q[3];
rx(-0.6247) q[4];
rz(0.8921) q[4];
rx(-0.6612) q[5];
rz(1.1021) q[5];
rx(-0.6589) q[6];
rz(1.1881) q[6];
rx(-0.6805) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 3} | {"circuits": [], "gradients": []} |
93141c357d164fcf2a36ba666f8f01e3 | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 2, "target": 3}, {"source": 1, "target": 3}]} | {"states": [2973, 3485], "expectation_value": -7.595739532765844, "params": null, "bitstrings": ["010001100010", "001001100010"], "total_optimization_steps": 100, "probabilities": [0.05944826069420597, 0.8620316846393108], "optimization_time": 256.16690373420715} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 4 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.75, "smallest_bitstrings": ["100100001010", "001001100010", "010010100001", "010010001100", "001001010100", "100100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
ry(1.5706) q[11];
ry(1.5706) q[7];
ry(1.5681) q[3];
ry(1.5681) q[0];
cry(1.4449) q[3], q[10];
cry(1.4449) q[3], q[8];
cry(-1.0315) q[4], q[5];
cry(-1.0315) q[1]... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5706) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];... |
98604329cd124f4df58d3d5765117c65 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [141, 173], "expectation_value": -67.96548411249398, "params": [-0.0023, 1.0842, 1.5788, -0.0, 0.0024000000000000002, 1.1698, 0.8927, 0.54, 0.7342000000000001, 0.5301, 1.5833000000000002, 0.0024000000000000002, 1.5877000000000001, 0.27990000000000004, 0.6759000000000001, 0.5571, 1.5843, 0.0651, -0.0024000000... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(4) @ Z(1)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(8) @ Z(7)) + 6.0 * (Z(6) @ Z(1)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(6) @ Z(8)) + 13.0 * Z(1) + -5.5 * Z(0) + 14.5 * Z(4) + 6.5 * Z(3) + 13.0 * Z(5) + 11.0 * Z(... | 18 | 9 | 2 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.0, "smallest_bitstrings": ["101010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0023) q[0];
rz(1.0842) q[0];
rx(1.5788) q[1];
rz(0) q[1];
rx(0.0024) q[2];
rz(1.1698) q[2];
rx(0.8927) q[3];
rz(0.54) q[3];
rx(0.7342) q[4];
rz(0.5301) q[4];
rx(1.5833) q[5];
rz(0.0024) q[5];
rx(1.5877) q[6];
rz(0.2799) q[6];
rx(0.6759) q[7];
rz(0.5571) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
436006815442743747 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4], [2, 6], [1, 3], [0, 2], [0, 5], [0, 6], [3, 4], [2, 5], [0, 3], [3, 6], [3, 5], [2, 4]]} | {"states": [7, 71], "expectation_value": -2.6093238329212713, "params": null, "bitstrings": ["1111000", "0111000"], "total_optimization_steps": 52, "probabilities": [0.27738304016061543, 0.33554550404198924], "optimization_time": 67.09288191795349} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["0100111", "0011000", "1100111", "1000111", "0111000", "1111000", "1011000", "0000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.0342) q[6], q[3];
cry(-1.0342) q[5], q[2];
ry(1.0293) q[6];
cry(1.4052) q[6], q[4];
cry(-0.9035) q[4], q[3];
cry(1.2164) q[4], q[5];
cry(-0.9865) q[4], q[2];
cry(0.3571) q[4], q[6];
cry(0.3381) q[6... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[6], q[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... |
1999562742756202320 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3], [2, 7], [2, 6], [2, 4], [3, 5], [0, 1]]} | {"states": [155, 164], "expectation_value": -0.025046822214810957, "params": [[-0.042800000000000005], [0.0492]], "bitstrings": ["01100100", "01011011"], "total_optimization_steps": 10, "probabilities": [0.0041044841175538254, 0.0041044841175538254], "optimization_time": 1.4154183864593506} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(7) + 0.0 * Z(6) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(0) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["10011011", "01100100", "10100100", "01011011"]} | 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(-0.0428) q[2];
cx q[3], q[2];
cx q[2], q[7];
rz(-0.0428) q[7];
cx q[2], q[7];
cx q[2], q[6];
rz(-0.0428) q[6];
cx q[2], q[6];
cx q[2], q[4];
rz(-0.0428) q[4];
cx q[2], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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(x0) q[2];
cx q[3], q[2];
cx q[2], q[7];
rz(x0) q[7];
cx q[2], q[7];
cx q[2], q[6];
rz(x0) q[6];
cx q[2], q[6];
cx q[2]... | null | {"circuits": [], "gradients": []} |
1a8155b224db54664a68f055f033253f | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 1, "target": 3}]} | {"states": [61367, 60855], "expectation_value": -17.567057762136248, "params": [0.5298, 0.5294, 0.5234, 0.5176000000000001, 0.5326000000000001, 0.534, -0.0051, 0.0027, 0.5298, 0.5378000000000001, 0.6833, 0.6836, 0.3231, 0.2896, 0.4333, 0.5229, 0.533, 0.5302, 0.0028, -0.0005, 0.4519, 0.4827, 0.5559000000000001, 0.5453, ... | 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7)... | 13 | 16 | 3 | {"smallest_eigenvalues": [-18.499999999999986], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.499999999999947, "smallest_bitstrings": ["0001001001001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(0.5298) q[0];
ry(0.5234) q[1];
ry(0.5326) q[2];
ry(-0.0051) q[3];
ry(0.5298) q[4];
ry(0.6833) q[5];
ry(0.3231) q[6];
ry(0.4333) q[7];
ry(0.533) q[8];
ry(0.0028) q[9];
ry(0.4519) q[10];
ry(0.5559) q[11];
ry(-0.0005) q[12];
ry(0.5224) q[13];
ry(0.5192) q[14... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 0}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 3}]}} | {"circuits": [], "gradients": []} |
3bcfe4648282d1b3b76d6f42e87e5c5d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 4}, {"weight": 18, "source": 0, "target": 5}, {"weight": 17, "source": 1, "target": 5}, {"weight": 7... | {"states": [126, 118], "expectation_value": -14.412893373508862, "params": [[0.0193, -0.0506], [-0.0287, 0.0601]], "bitstrings": ["10000001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.0068314113334877365, 0.007989961773908316], "optimization_time": 4.030980825424194} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(4) @ Z(5)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(7) @ Z(1)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "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(0.1351) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1351) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1351) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.1351) q[3];
cx q[0], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
cff73883695747c1d773b9b813418e3e | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "targ... | {"states": [480, 16352], "expectation_value": -30.22702678759813, "params": [[[-0.0028, 0.003], [-0.0027, 0.0017000000000000001], [-0.0028, 0.004200000000000001], [-0.0021000000000000003, 0.0027], [1.4767000000000001, 0.0004], [0.3171, 0.0027], [0.0029000000000000002, 0.0073], [-0.0021000000000000003, 0.009000000000000... | -2.5 * (Z(0) @ Z(2)) + -2.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(4) @ Z(1)) + -2.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(8)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + 0.5 ... | 2 | 14 | 1 | {"smallest_eigenvalues": [-34.499999999999744], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.4999999999999, "smallest_bitstrings": ["00000000011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
rx(-0.0028) q[0];
rz(0.003) q[0];
rx(-0.0027) q[1];
rz(0.0017) q[1];
rx(-0.0028) q[2];
rz(0.0042) q[2];
rx(-0.0021) q[3];
rz(0.0027) q[3];
rx(1.4767) q[4];
rz(0.0004) q[4];
rx(0.3171) q[5];
rz(0.0027) q[5];
rx(0.0029) q[6];
rz(0.0073) q[6];
rx(-0.0021) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 13} | {"circuits": [], "gradients": []} |
b2c25a19a038d07471a5450910ba4971 | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [6, 10], "expectation_value": -0.4272305859402657, "params": [[-0.0806, -0.079, -0.065], [0.078, 0.07880000000000001, 0.0727]], "bitstrings": ["11001", "10101"], "total_optimization_steps": 10, "probabilities": [0.046709358589835104, 0.047490519149646145], "optimization_time": 2.527120351791382} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -1.0 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.25, "smallest_bitstrings": ["11100", "11010", "11001", "10101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[1];
rz(-0.0806) q[1];
cx q[2], q[1];
cx q[3], q[0];
rz(-0.0806) q[0];
cx q[3], q[0];
cx q[4], q[1];
rz(-0.0806) q[1];
cx q[4], q[1];
cx q[2], q[3];
rz(-0.0403) q[3];
cx q[2], q[3];
cx q[2], q[4];
rz(-0.0403) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
e877d3b2f9804d2377a79bff7b887b67 | 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": 8, "source": 0, "t... | {"states": [118, 110], "expectation_value": -19.555291177715404, "params": [[-0.0388, 0.0014], [0.0806, 0.0731]], "bitstrings": ["10001001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.012214568525439555, 0.014255966454715751], "optimization_time": 3.1315762996673584} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 17.5 * Z(1) + 8.5 * Z(0) + 12.0 * Z(2) + 7.0 * Z(3) + 1.... | 1 | 8 | 2 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.3492) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3492) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3492) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.3492) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
613ef125dc4e28340a6427c0ac6373f5 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 3, "source": 3, "target": 2}, {"capacity": 3, "source": 3, "target": 6... | {"states": [60413, 58364], "expectation_value": -23.37437173133828, "params": [[-0.10650000000000001, 0.0164, 0.0196], [0.1371, 0.1254, 0.1404]], "bitstrings": ["0001010000000010", "0001110000000011"], "total_optimization_steps": 20, "probabilities": [0.0005448599163573003, 0.00062341375536707], "optimization_time": 19... | 0.875 * (Z(0) @ Z(1)) + 0.875 * (Z(2) @ Z(1)) + 0.4375 * (Z(2) @ Z(0)) + 2.0 * (Z(6) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 2.0 * (Z(9) @ Z(7)) + 1.0 * (Z(9) @ Z(6)) + 1.0 * (Z(9) @ Z(8)) + 1.0 * (Z(10) @ Z(11)) + 3.0 * (Z(12) @ Z(11)) + 1.5 * (Z(12) @ Z(10)) + -0.5 * (Z(3) @ Z(13)) + 1.0 * (Z(14) @ Z(13... | 1 | 16 | 3 | {"smallest_eigenvalues": [-37.62499999999959], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -36.74999999999983, "smallest_bitstrings": ["0001110000000011"]} | 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(-0.1864) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1864) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0932) 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": 6} | {"circuits": [], "gradients": []} |
15981867526b451292338ffade4ee93e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [92, 60], "expectation_value": -0.8658761628318189, "params": [0.7899, 0.1405, 0.7984, 0.1646, 0.8013, 0.0627, 0.8078000000000001, 0.1027, 0.7972, -0.0438, 0.2944, -0.2511, 0.29250000000000004, 0.2579, 0.7857000000000001, 0.0045000000000000005, 0.7952, 0.0044, 0.8079000000000001, 0.0036000000000000003, 0.803... | 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(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.2... | 18 | 7 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["1000011", "0101001", "0010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.7899) q[0];
rz(0.1405) q[0];
rx(0.7984) q[1];
rz(0.1646) q[1];
rx(0.8013) q[2];
rz(0.0627) q[2];
rx(0.8078) q[3];
rz(0.1027) q[3];
rx(0.7972) q[4];
rz(-0.0438) q[4];
rx(0.2944) q[5];
rz(-0.2511) q[5];
rx(0.2925) q[6];
rz(0.2579) q[6];
crz(-0.2363) 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": []} |
36ff2850f9ca4956ff6a75a44d9ad0dc | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [17, 81], "expectation_value": -3.4775285500355473, "params": [0.7978000000000001, 0.0129, 0.1831, 0.4466, 0.8046000000000001, 0.1384, -0.012, 0.5224, 0.1837, 0.5082, -0.006500000000000001, -0.3884, 0.7967000000000001, -0.0983, 0.7986000000000001, 0.0012000000000000001, 0.18680000000000002, 0.01, 0.8014, 0.0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(6) + -1.0 * Z... | 3 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.7978) q[0];
rz(0.0129) q[0];
rx(0.1831) q[1];
rz(0.4466) q[1];
rx(0.8046) q[2];
rz(0.1384) q[2];
rx(-0.012) q[3];
rz(0.5224) q[3];
rx(0.1837) q[4];
rz(0.5082) q[4];
rx(-0.0065) q[5];
rz(-0.3884) q[5];
rx(0.7967) q[6];
rz(-0.0983) q[6];
crz(-0.1937) q[6], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
eaf152c9366c1fc70b9994ec462b6b4c | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 5}, {"weight": 19, "source": 0, "target": 2}, {"weight": 12, "source": 0, "target": 3}, {"weight": 1... | {"states": [123, 122], "expectation_value": -18.93303768743803, "params": [[0.031200000000000002, 0.006200000000000001], [-0.0623, -0.0524]], "bitstrings": ["10000100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.008642152240792362, 0.010738276387435712], "optimization_time": 3.4181787967681885} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.2184) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2184) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2184) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2184) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
6e37aef8e2f10c2778e28c9dc9b1affa | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [5965, 5981], "expectation_value": -2.5224966773954676, "params": [2.9973, 0.0081, 0.0023, 0.0008, 2.9851, 0.0037, 2.8049, 0.006900000000000001, 2.1567000000000003, 0.0077, 0.7366, 0.0055000000000000005, 2.9945, 0.0074, 1.1417000000000002, 0.0028, 1.5741, 0.0066, 3.0014000000000003, 0.0077, 3.0061, 0.0004, 0... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(5) @ Z(2) @ Z(3)) + -0.125 * (Z(5) @ Z(2) @ Z(4)) + -0.125 * (Z(5) @ Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(2) @ Z(3... | 18 | 13 | 1 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.812... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(2.9973) q[0];
rz(0.0081) q[0];
rx(0.0023) q[1];
rz(0.0008) q[1];
rx(2.9851) q[2];
rz(0.0037) q[2];
rx(2.8049) q[3];
rz(0.0069) q[3];
rx(2.1567) q[4];
rz(0.0077) q[4];
rx(0.7366) q[5];
rz(0.0055) q[5];
rx(2.9945) q[6];
rz(0.0074) q[6];
rx(1.1417) 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": []} |
90caccd5a9bc4a2ae486cd28f2a54684 | 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": [215, 214], "expectation_value": -65.40508895965755, "params": [0.2944, 0.4151, 0.9938, 0.0456, 0.9957, -0.0031000000000000003, 0.2801, -0.0732, 0.9986, -0.0033, 0.1022, 0.09920000000000001, 0.8384, -0.0424, 0.9972000000000001, 0.12430000000000001, 0.5043, 0.2546, 0.2914, 0.4298, 0.9379000000000001, -0.0594,... | 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(6) @ Z(0)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(8)) + 5.0 * (Z(7) @ Z(8)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(5) @ Z(7)) + 9.5 * Z(0) + 6.0 * Z(1) + 17.5 * Z(2) + 7.0 * Z(4) + 0.5... | 4 | 9 | 3 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.0, "smallest_bitstrings": ["100101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.2944) q[0];
rz(0.4151) q[0];
rx(0.9938) q[1];
rz(0.0456) q[1];
rx(0.9957) q[2];
rz(-0.0031) q[2];
rx(0.2801) q[3];
rz(-0.0732) q[3];
rx(0.9986) q[4];
rz(-0.0033) q[4];
rx(0.1022) q[5];
rz(0.0992) q[5];
rx(0.8384) q[6];
rz(-0.0424) q[6];
rx(0.9972) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
2c03cae97f052c1bed9399de174a2172 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [1365, 341], "expectation_value": -94.25492155708118, "params": [[-0.012, 0.2785, -0.0666, 0.5015000000000001, 0.095, 0.5051, -0.0023, 0.4999, 0.030600000000000002, 0.498, 0.2358, 0.3153], [0.0027, 0.2772, -0.0345, 0.5063, 0.09040000000000001, 0.5078, -0.0023, 0.5028, 0.0092, 0.5045000000000001, 0.2314000000... | 8.5 * (Z(0) @ Z(3)) + 8.5 * (Z(2) @ Z(3)) + 8.5 * (Z(4) @ Z(5)) + 8.5 * (Z(1) @ Z(7)) + 8.5 * (Z(8) @ Z(7)) + 8.5 * (Z(9) @ Z(4)) + 8.5 * (Z(10) @ Z(5)) + 8.5 * (Z(10) @ Z(9)) + 8.5 * (Z(11) @ Z(7)) + 8.5 * (Z(11) @ Z(1)) + 6.0 * Z(3) + -4.5 * Z(0) + -4.5 * Z(2) + 8.5 * Z(5) + 2.5 * Z(4) + 15.5 * Z(7) + 3.0 * Z(1) + -4... | 10 | 12 | 4 | {"smallest_eigenvalues": [-132.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -124.0, "smallest_bitstrings": ["111010101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.012) q[0];
ry(0.2785) q[1];
ry(-0.0666) q[2];
ry(0.5015) q[3];
ry(0.095) q[4];
ry(0.5051) q[5];
ry(-0.0023) q[6];
ry(0.4999) q[7];
ry(0.0306) q[8];
ry(0.498) q[9];
ry(0.2358) q[10];
ry(0.3153) 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, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} |
969dbed488b18fd892982f38c13bf4b6 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.0797554630842506, "params": [[0.1506], [-0.1396]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 20, "probabilities": [2.0937887105502676e-05, 2.0937887105502676e-05], "optimization_time": 14.134155035018921} | 0.25 * (Z(0) @ Z(1)) + -0.00078125 * (Z(2) @ Z(0)) + -0.00078125 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006510416666666666 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + -0.0006510416666666666 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0006510416666666666 * (Z(6) @ Z(0)) + 0.000260... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.023871527777748], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0238715277777315, "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(0.0753) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0002) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0002) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[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... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
fcfd54ef615390c036c2590109c0afc6 | 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": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 4, "source": ... | {"states": [2, 2047], "expectation_value": -32.71729234703915, "params": [[[0.8931, -0.0274], [0.0, -0.029400000000000003], [0.0037, 0.0036000000000000003], [0.008700000000000001, -0.0038], [-0.001, 0.0035], [0.006, -0.0017000000000000001], [-0.00030000000000000003, -0.0023], [0.0082, 0.0024000000000000002], [0.0016, 0... | -1.0 * (Z(0) @ Z(5)) + -1.75 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(9) @ Z(5)) + -1.0 * (Z(9) @ Z(0)) + -1.5 * (Z(1) @ Z(5)) + -1.75 * (Z(1) @ Z(6)) + -0.5 * (Z(1) @ Z(9)) + -0.25 * (Z(11) @ Z(5)) + -0.25 * (Z(11) @ Z(6)) + -0.5 * (Z(11) @ Z(9)) + -2.5 * (Z(11) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + 3.25 * (Z(3)... | 15 | 12 | 4 | {"smallest_eigenvalues": [-33.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.25, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.8931) q[0];
ry(0) q[1];
ry(0.0037) q[2];
ry(0.0087) q[3];
ry(-0.001) q[4];
ry(0.006) q[5];
ry(-0.0003) q[6];
ry(0.0082) q[7];
ry(0.0016) q[8];
ry(-0.0062) q[9];
ry(0.0235) q[10];
ry(-0.0402) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx q[8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
0ae9b6f2b61290137ab22e2dafb0c164 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 23, "source": 0, "target": 4}, {"weight": 2, "source": 1, "target": 2}, {"weight": 21, "source": 1, "target": 3}, {"weight": 5, "source": ... | {"states": [411, 413], "expectation_value": -5.7106844257852964, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741875, 0.8578073217068284], "optimization_time": 110.84747862815857} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 5 | 9 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5681) q[8];
ry(1.5681) q[4];
ry(1.5681) q[0];
cry(-1.0342) q[6], q[7];
cry(-1.0342) q[5], q[2];
ry(1.3762) q[1];
cry(-0.5042) q[1], q[2];
ry(1.1464) q[5];
cry(-1.3967) q[5], q[3];
cry... | null | {"start_node": 0, "end_node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
c564307a23461b97da6b6966b1ccdaf8 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [3, 67], "expectation_value": -5.784889235380463, "params": [0.33530000000000004, 0.0261, 0.3287, 0.0201, 0.0032, 0.2267, -0.0008, 0.25120000000000003, -0.0057, -0.1615, -0.0044, -0.17700000000000002, -0.0179, 0.24130000000000001, -0.0115, 0.23450000000000001, -0.0115, 0.2412, -0.009300000000000001, 0.2358, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -2.5 * Z(1) ... | 5 | 7 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["0111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.3353) q[0];
rz(0.0261) q[0];
rx(0.0032) q[1];
rz(0.2267) q[1];
rx(-0.0057) q[2];
rz(-0.1615) q[2];
rx(-0.0179) q[3];
rz(0.2413) q[3];
rx(-0.0115) q[4];
rz(0.2412) q[4];
rx(0.405) q[5];
rz(0.0414) q[5];
rx(0.3373) q[6];
rz(-0.0118) q[6];
crz(-0.0835) q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] 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 flo... | null | {"circuits": [], "gradients": []} |
e9e1c3bad7671d416f508c960af260f6 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [33, 1], "expectation_value": -5.3454719079098085, "params": [-0.0051, -0.2346, 0.4575, 0.0329, 0.004, 0.3259, 0.0033, 0.4622, 0.0026000000000000003, 0.43420000000000003, 0.004200000000000001, 0.4242, 0.5997, 0.0081, -0.005200000000000001, 0.0393, 0.4587, 0.22010000000000002, 0.0011, 0.3936, 0.0025, 0.4592, ... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.0 * Z(5) + -1.0 * Z(2) + 0.25 * Z(1) + -0.5 * Z(3) + 1.25 * Z(6) | 3 | 7 | 3 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.25, "smallest_bitstrings": ["1111110", "1011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0051) q[0];
rz(-0.2346) q[0];
rx(0.4575) q[1];
rz(0.0329) q[1];
rx(0.004) q[2];
rz(0.3259) q[2];
rx(0.0033) q[3];
rz(0.4622) q[3];
rx(0.0026) q[4];
rz(0.4342) q[4];
rx(0.0042) q[5];
rz(0.4242) q[5];
rx(0.5997) q[6];
rz(0.0081) q[6];
crz(0.006) q[6], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
93c13fab9e34fc37930983d686b23550 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [250, 254], "expectation_value": -13.261729280920468, "params": null, "bitstrings": ["00000101", "00000001"], "total_optimization_steps": 100, "probabilities": [0.08239622153578577, 0.23920912110553932], "optimization_time": 167.42571902275085} | -3.0 * (Z(0) @ Z(1)) + -3.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + 2.0 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(4)) + -3.5 * (Z(3) @ Z(1)) + 1.5 * (Z(3) @ Z(0)) + -3.5 * (Z(3) @ Z(4)) + -3.5 * (Z(3) @ Z(5)) + -3.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + 1.5 * (Z(6) @ Z(4)) + -3.0 * (Z(6) @ Z(5)) + -3... | 5 | 8 | 1 | {"smallest_eigenvalues": [-33.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.0, "smallest_bitstrings": ["00000001"]} | 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[5], q[3];
cry(1.4894) q[3], q[4];
cry(0.4435) q[4], q[1];
cry(0.2824) q[4], q[5];
cry(0.4047) q[3], q[1];
cry(0.7402) q[3], q[6];
cry(-0.436) q[3], q[5];
ry(-0.2044) q[5];
cry(0.2861... | null | {"node": 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];\ncry(1.5708) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... |
-8737458266305815532 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 5, 6, 7], [1, 2, 6, 7], [1, 5], [1, 3, 6], [0, 1, 6], [0, 2, 3, 6], [0, 1, 2], [0, 3, 7], [2, 4]]} | {"states": [166, 167], "expectation_value": -0.014768719685254773, "params": [[0.0341], [-0.0244]], "bitstrings": ["01011001", "01011000"], "total_optimization_steps": 10, "probabilities": [0.0039616158445140645, 0.003963882573843934], "optimization_time": 1.0335118770599365} | 0.08333333333333333 * (Z(4) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.41666666666666663 * (Z(1) @ Z(6)) + 0.08333333333333333 * (Z(1) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.749999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.666666666666667, "smallest_bitstrings": ["01011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[4];
rz(0.0057) q[4];
cx q[5], q[4];
cx q[5], q[6];
rz(0.0057) q[6];
cx q[5], q[6];
cx q[4], q[6];
rz(0.0057) q[6];
cx q[4], q[6];
cx q[5], q[7];
rz(0.0057) q[7];
cx q[5], q[7];
cx q[4],... | 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[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
695618959826681028 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 2, 3, 4, 7, 10, 11], [0, 1, 4, 6, 7, 9], [1, 10, 2, 4], [1, 3, 4, 6, 8, 9, 11], [2, 3, 4, 5, 7, 10], [0, 1, 3, 5, 6, 8, 10], [0, 3, 4, 6, 9, 10, 11], [3, 4, 8, 10, 11], [0, 3, 6, 7, 9, 11], [1, 5, 6, 8, 10, 11]]} | {"states": [3553, 4065], "expectation_value": -1.609206977533962, "params": [1.4242000000000001, 0.0799, 1.4191, 0.0041, 1.3939000000000001, 0.0867, 1.3647, 0.0033, 0.8863000000000001, -0.4948, 0.9011, 0.0028, 1.4657, -0.17, 1.4621000000000002, 0.0082, 1.5155, 0.0031000000000000003, 1.5126000000000002, 0.008, 1.4831, -... | 0.023809523809523808 * (Z(0) @ Z(2)) + 0.05714285714285714 * (Z(3) @ Z(2)) + 0.10476190476190475 * (Z(3) @ Z(0)) + 0.14047619047619048 * (Z(4) @ Z(2)) + 0.08095238095238094 * (Z(4) @ Z(0)) + 0.15476190476190477 * (Z(4) @ Z(3)) + 0.05714285714285714 * (Z(7) @ Z(2)) + 0.09047619047619047 * (Z(7) @ Z(0)) + 0.0904761904761... | 7 | 12 | 1 | {"smallest_eigenvalues": [-2.011904761904762], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.964285714285715, "smallest_bitstrings": ["000000011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.4242) q[0];
rz(0.0799) q[0];
rx(1.3939) q[1];
rz(0.0867) q[1];
rx(0.8863) q[2];
rz(-0.4948) q[2];
rx(1.4657) q[3];
rz(-0.17) q[3];
rx(1.5155) q[4];
rz(0.0031) q[4];
rx(1.4831) q[5];
rz(-0.0192) q[5];
rx(1.4797) q[6];
rz(0.1611) q[6];
rx(0.6489) 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": []} |
61e72a7f3bba48b5d0ac6a3978f4cc8b | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 12, "source": 1, "target": 2}, {"weight": 1, "source": 2, "tar... | {"states": [474, 218], "expectation_value": -32.31110935727405, "params": [[0.025400000000000002, 0.0053, -0.0054, -0.0076], [-0.07590000000000001, -0.082, -0.0742, -0.062400000000000004]], "bitstrings": ["000100101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.010216348515839312, 0.01355142622959... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 8.5 * Z(1) +... | 1 | 9 | 4 | {"smallest_eigenvalues": [-82.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.2286) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.2286) q[2];
cx q[0], q[2];
cx q[2], q[3];
rz(0.2286) q[3];
cx q[2], q[3];
cx q[2], q[4];
rz(0.2286) q[4];
cx q[2], 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", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
5a8eac0760a558d4174437be478ec0aa | 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": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [4, 8], "expectation_value": -0.7237794072018997, "params": [[-0.0746, -0.07680000000000001, -0.07740000000000001, -0.056400000000000006], [0.07400000000000001, 0.0753, 0.0775, 0.0702]], "bitstrings": ["1011", "0111"], "total_optimization_steps": 10, "probabilities": [0.10593650317399038, 0.10593650317399042... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["1011", "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[1], q[0];
rz(-0.0746) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0746) q[0];
cx q[2], q[0];
cx q[1], q[3];
rz(-0.0746) q[3];
cx q[1], q[3];
rz(0.0746) q[0];
rz(0.0746) q[1];
rz(0.1492) q[2];
rz(0.1492) q[3];
h q[0];
rz(0.148... | OPENQASM 3.0;
include "stdgates.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": []} |
0f66887301b1f983a110c9a29feb75ab | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "ta... | {"states": [92, 88], "expectation_value": -5.879928880412244, "params": [-0.00030000000000000003, 0.1777, -0.0012000000000000001, 0.1771, 0.2659, 0.0548, 0.26940000000000003, 0.009300000000000001, 0.025500000000000002, 0.0927, 0.0267, 0.09820000000000001, 0.2997, 0.0064, 0.3075, 0.001, 0.2992, -0.0018000000000000002, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) ... | 7 | 8 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.5, "smallest_bitstrings": ["10100111", "11001011", "11100011", "10110101", "11101010", "10001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0003) q[0];
rz(0.1777) q[0];
rx(0.2659) q[1];
rz(0.0548) q[1];
rx(0.0255) q[2];
rz(0.0927) q[2];
rx(0.2997) q[3];
rz(0.0064) q[3];
rx(0.2992) q[4];
rz(-0.0018) q[4];
rx(0.1321) q[5];
rz(0.0448) q[5];
rx(0.005) q[6];
rz(0.1774) q[6];
rx(0.001) 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": []} |
3818ce8f8ec333f1e3cdd221545ea640 | 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": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [22, 150], "expectation_value": -1.9222444607859606, "params": [[[0.4859, 0.024], [0.0719, 0.0264], [0.14100000000000001, -0.0682], [0.4989, -0.277], [0.0903, -0.3149], [0.09430000000000001, 0.5093], [0.28650000000000003, 0.5022], [0.17350000000000002, 0.1446]], [[0.4409, -0.0057], [0.0661, -0.0178], [0.1626... | 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(4... | 15 | 8 | 4 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.125, "smallest_bitstrings": ["10100101", "00101101", "10000111", "01101001", "01011010", "01001011", "00011110", "10010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.4859) q[0];
ry(0.0719) q[1];
ry(0.141) q[2];
ry(0.4989) q[3];
ry(0.0903) q[4];
ry(0.0943) q[5];
ry(0.2865) q[6];
ry(0.1735) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5933431308004300537 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 3, 4], [0, 3, 4, 6, 7], [3, 5, 7], [0, 2, 3, 6], [0, 2, 5], [0, 1, 4]]} | {"states": [156, 158], "expectation_value": -1.7432771076669649, "params": null, "bitstrings": ["01100011", "01100001"], "total_optimization_steps": 42, "probabilities": [0.0805649308624024, 0.7849636606828092], "optimization_time": 54.13096380233765} | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.21666666666666667 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.13333333333333333 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.21666666666666667 * (Z(0) @ Z(4)) + 0.13333333333333333 * (Z(6) @ Z(3)) + 0.05 * (Z(6) @ Z(4)) + 0.13333333333333333 * (Z(6) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.7833333333333337], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7833333333333332, "smallest_bitstrings": ["01100001"]} | 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(1.4845) q[3];
ry(1.3711) q[0];
cry(-0.7529) q[4], q[1];
ry(0.4762) q[4];
cry(-0.5093) q[1], q[4];
cry(-0.4899) q[5], q[2];
cry(0.1869) q[3], q[0];
cry(-0.4359) q[5], q[7];
cry(0.2601) q[0], q[4... | 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(1.4845) 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[... |
-919385846436445453 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[8, 1], [10, 3], [1, 4], [11, 12], [0, 1], [4, 6], [1, 11], [2, 6], [1, 6], [4, 12], [11, 6], [10, 4], [0, 12], [1, 3], [2, 4], [0, 7], [9, 2], [3, 7], [5, 7], [8, 6], [2, 11], [0, 2], [10, 6], [9, 6], [0, 10], [11, 5], [1, 7], [8, 11]]} | {"states": [5082, 5066], "expectation_value": -6.733184785053861, "params": [2.5992, -0.016800000000000002, 0.0031000000000000003, 0.7763, -0.002, 0.7598, 2.2981000000000003, -0.003, 2.5888, -0.0031000000000000003, 2.591, -0.9853000000000001, 2.5773, 0.0046, 0.8372, -0.9378000000000001, 2.5940000000000003, -0.7884, 2.5... | 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(10) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(10)) + 0.5 * (Z(11) @ Z(1)) + 0.5 * (Z(11) @ Z(8)) + 0.5 * (Z(12) @ Z(4)) + 0.5 * (Z(12) @ Z(11)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(10)) + 0.5 * (Z(0) @ Z(12)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(8)) + 0.5... | 4 | 13 | 1 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -7.0, "smallest_bitstrings": ["0110011100101", "1001111001010", "0110010110101", "0110011000101", "0110010011101", "1001111... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(2.5992) q[0];
rz(-0.0168) q[0];
rx(0.0031) q[1];
rz(0.7763) q[1];
rx(-0.002) q[2];
rz(0.7598) q[2];
rx(2.2981) q[3];
rz(-0.003) q[3];
rx(2.5888) q[4];
rz(-0.0031) q[4];
rx(2.591) q[5];
rz(-0.9853) q[5];
rx(2.5773) q[6];
rz(0.0046) q[6];
rx(0.8372) 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": []} |
0963943ecfb82868686868de206d3c2c | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}]} | {"states": [0, 13], "expectation_value": -2.020431639181819, "params": null, "bitstrings": ["11111", "10010"], "total_optimization_steps": 20, "probabilities": [0.06312583727485936, 0.6609303434568208], "optimization_time": 10.903878688812256} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(3) + -0.25 * Z(4) + 0.5 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["10010"]} | 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(1.4449) q[4], q[2];
cry(-1.4449) q[4], q[0];
cry(0.8211) q[2], q[4];
ry(-1.3) q[3];
cry(-0.432) q[2], q[0];
cry(1.2172) q[4], q[1];
ry(0.1675) q[4];
cry(0.3046) q[2], q[1];
ry(0.1607) q[2];
cry(-0.2337) q[1], q[3];
c... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(1.4449) q[4], 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqu... |
9616dca9ff75dff127d63d2e13bd0738 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -21.763093787949906, "params": [-0.2089, 0.0363, -0.0772, -0.0102, 0.09040000000000001, 0.16840000000000002, 0.1119, 0.1218, 0.403, 0.0035, 0.40790000000000004, 0.0029000000000000002, -0.031100000000000003, 0.1033, 0.0151, 0.24710000000000001, -0.0025, 0.3084, 0.005, 0.3175, -0... | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(0)) + -1.75 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(4)) + -1.25 * (Z(10) @ Z(0)) + -0.75 * (Z(10) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(10)) + -0.5 * (Z(8) @ Z(4)) + -0.75 * (Z(9) @ Z(1)) + -0.75 * (Z(... | 6 | 11 | 2 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.5, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.2089) q[0];
rz(0.0363) q[0];
rx(0.0904) q[1];
rz(0.1684) q[1];
rx(0.403) q[2];
rz(0.0035) q[2];
rx(-0.0311) q[3];
rz(0.1033) q[3];
rx(-0.0025) q[4];
rz(0.3084) q[4];
rx(-0.1407) q[5];
rz(0.0171) q[5];
rx(-0.0293) q[6];
rz(0.2031) q[6];
rx(-0.1552) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input fl... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
1061259256828078308 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 1, 3, 4], [0, 2, 3, 4], [0, 1, 2]]} | {"states": [26, 15], "expectation_value": -0.28058399084870667, "params": [[0.3062], [-0.3123]], "bitstrings": ["00101", "10000"], "total_optimization_steps": 40, "probabilities": [0.0434728478801489, 0.0436500536189627], "optimization_time": 1.5965232849121094} | 0.25 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(3)) + 0.083333... | 1 | 5 | 1 | {"smallest_eigenvalues": [-0.8333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["10000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.1531) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.051) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.1021) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.051) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.1021) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x1) q[3];
cx q[1], q[3];
cx q[0], q[3];... | null | {"circuits": [], "gradients": []} |
30ba64f2314d12dd7a4bba52fce6e2f0 | 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": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 4, "source": 2, "target": 4}, {"capaci... | {"states": [21, 31], "expectation_value": -5.074334699257932, "params": null, "bitstrings": ["101010", "100000"], "total_optimization_steps": 37, "probabilities": [0.11261830073505118, 0.7491392973575856], "optimization_time": 26.74123477935791} | -0.75 * (Z(0) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -1.75 * (Z(2) @ Z(4)) + -0.75 * (Z(1) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + 1.25 * (Z(5) @ Z(0)) + 0.25 * Z(3) + -0.25 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + 0.75 * Z(1) + 0.25 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000", "111110", "101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.5486) q[1];
cry(1.5681) q[4], q[2];
cry(1.2279) q[2], q[4];
cry(1.566) q[2], q[3];
cry(1.5697) q[3], q[5];
ry(-1.5266) q[0];
cry(-0.0676) q[1], q[3];
cry(0.071) q[4], q[3];
cry(-0.0817) q[5], q[3];
ry(0.0264... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5486) q[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 \"stdgat... |
da3c81488557dc57e6e1f0bd43d65336 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [22, 41], "expectation_value": -0.0891415307399371, "params": [[-0.0708], [0.0713]], "bitstrings": ["101001", "010110"], "total_optimization_steps": 10, "probabilities": [0.017542115890708518, 0.017542115890708525], "optimization_time": 0.9695086479187012} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["010110", "101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0708) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(-0.0708) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(-0.0708) q[2];
cx q[1], q[2];
cx q[2], q[3];
rz(-0.0708) q[3];
cx q[2], q[3];
cx q[4], q[5];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[2], q[3];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
a1d30927e8d1c8c726712f7d85b25667 | 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": 4, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 3, "target": 7}, {"capacity": 1, "source": 4, ... | {"states": [127, 95], "expectation_value": -7.602146008888258, "params": null, "bitstrings": ["10000000", "10100000"], "total_optimization_steps": 58, "probabilities": [0.2143241896166521, 0.21435663823199338], "optimization_time": 76.39513659477234} | -1.0 * (Z(0) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -1.0 * (Z(7) @ Z(3)) + 1.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(6)) + -0.25 * (Z(2) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * Z(3) + -0.25 * Z(0) + 1.5 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -6.75, "smallest_bitstrings": ["10000000", "10110000", "10100000", "10010000", "10111000"]} | 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[5];
ry(1.5708) q[6];
cry(1.5681) q[6], q[1];
cry(-1.5486) q[7], q[0];
ry(1.035) q[7];
cry(-0.4546) q[6], q[0];
cry(1.4449) q[6], q[4];
cry(0.323) q[1], q[7];
cry(-0.2109) q[5], q[0];
... | 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[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
5991295615091008679 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 5, 9], [8, 9, 3, 4], [1, 2, 6], [9, 2, 3, 5], [1, 2, 3, 4], [0, 1, 4, 6], [8, 1], [5, 6], [0, 8, 2], [0, 9, 5], [8, 9, 2, 3], [0, 2, 3, 4, 9], [9, 7]]} | {"states": [977, 969], "expectation_value": -3.761072958507092, "params": null, "bitstrings": ["0000101110", "0000110110"], "total_optimization_steps": 64, "probabilities": [0.0655709608817187, 0.8417847307771332], "optimization_time": 2600.794239282608} | 0.16666666666666666 * (Z(1) @ Z(5)) + 0.41666666666666663 * (Z(9) @ Z(5)) + 0.16666666666666666 * (Z(9) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(9)) + 0.08333333333333333 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.3 * (Z(3) @ Z(9)) + 0.16666666666666666 * (Z(3) @ Z(8)) + 0.16666666... | 5 | 10 | 1 | {"smallest_eigenvalues": [-3.8666666666666667, -3.8666666666666667], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.6166666666666667, "smallest_bitstrings": ["0000110110", "0000001011"]} | 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];
ry(1.5567) q[2];
ry(1.5017) q[9];
cry(-1.4444) q[9], q[7];
cry(-1.0886) q[6], q[5];
ry(0.921) q[6];
cry(-0.6273) q[9], q[5];
cry(0.4577) q[2], q[6];
cry(-1.0337) q[1], q[8];
ry(0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.5567) 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]... |
1b24af073a06b420b0e381d469b6416f | 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": 3, "target": 5}, {"source": 3, "target": 7}, {"source": ... | {"states": [0, 1023], "expectation_value": -27.174147500127884, "params": [[[0.0028, 1.6145], [0.0025, 0.0029000000000000002], [0.0016, 0.0018000000000000002], [0.0025, 0.0018000000000000002], [0.0033, 0.0028], [0.0033, -0.0031000000000000003], [0.0034000000000000002, 0.0031000000000000003], [0.0025, -0.0028], [0.0025,... | -1.5 * (Z(0) @ Z(2)) + -2.5 * (Z(3) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -3.5 * (Z(7) @ Z(3)) + -2.0 * (Z(8) @ Z(5)) + -3.0 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(1) @ Z(5)) + -3.5 * (Z(1) @ Z(3)) + -3.0 * (Z(1) @ Z(7)) + 1.0 * (Z(1) @ Z(8)) + 0.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(8)) + 1.0 ... | 15 | 10 | 1 | {"smallest_eigenvalues": [-31.0, -31.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -30.0, "smallest_bitstrings": ["1010000000", "0000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0028) q[0];
ry(0.0025) q[1];
ry(0.0016) q[2];
ry(0.0025) q[3];
ry(0.0033) q[4];
ry(0.0033) q[5];
ry(0.0034) q[6];
ry(0.0025) q[7];
ry(0.0025) q[8];
ry(0.0027) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
ry(x0) q[0];
ry(... | {"node": 1} | {"circuits": [], "gradients": []} |
-1098029216507613742 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3], [3, 6], [0, 4], [1, 6], [0, 5]]} | {"states": [17, 81], "expectation_value": -0.02855199055999151, "params": [[[1.6388, 0.0082], [1.4324000000000001, 0.0063], [1.6832, 0.0006000000000000001], [1.4582000000000002, 0.0026000000000000003], [1.5005000000000002, 0.00030000000000000003], [1.5019, 0.0036000000000000003], [1.7113, 0.0002]]], "bitstrings": ["110... | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["0101110", "0010111", "1101000", "1010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.6388) q[0];
rz(0.0082) q[0];
rx(1.4324) q[1];
rz(0.0063) q[1];
rx(1.6832) q[2];
rz(0.0006) q[2];
rx(1.4582) q[3];
rz(0.0026) q[3];
rx(1.5005) q[4];
rz(0.0003) q[4];
rx(1.5019) q[5];
rz(0.0036) q[5];
rx(1.7113) q[6];
rz(0.0002) 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": []} |
7634164182619522537 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[1, 4], [0, 1], [2, 4], [0, 3]]} | {"states": [14, 17], "expectation_value": -0.04337463138147479, "params": [[0.0762], [-0.0723]], "bitstrings": ["10001", "01110"], "total_optimization_steps": 10, "probabilities": [0.034016499659980354, 0.034016499659980354], "optimization_time": 0.8321938514709473} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["10001", "01110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(0.0762) q[1];
cx q[4], q[1];
cx q[1], q[0];
rz(0.0762) q[0];
cx q[1], q[0];
cx q[4], q[2];
rz(0.0762) q[2];
cx q[4], q[2];
cx q[0], q[3];
rz(0.0762) q[3];
cx q[0], q[3];
rz(0) q[4];
rz(0) q[1];
rz(0) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[0], q[3];
rz(x0) q[3];
cx ... | null | {"circuits": [], "gradients": []} |
8176293583578672830 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 6], [0, 5], [1, 4], [0, 2], [5, 6], [5, 7], [4, 7], [0, 4], [1, 3], [3, 7], [2, 7], [4, 5], [4, 6], [6, 7]]} | {"states": [58, 197], "expectation_value": -0.07034018198731715, "params": [[-0.0458], [0.0557]], "bitstrings": ["11000101", "00111010"], "total_optimization_steps": 10, "probabilities": [0.0042304669442474975, 0.0042304669442474975], "optimization_time": 1.049607753753662} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.0 * Z(6) +... | 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": ["00111010", "00111100", "11000011", "11000001", "00111110", "11000101"]} | 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[6], q[0];
rz(-0.0458) q[0];
cx q[6], q[0];
cx q[6], q[5];
rz(-0.0458) q[5];
cx q[6], q[5];
cx q[0], q[5];
rz(-0.0458) q[5];
cx q[0], q[5];
cx q[6], q[4];
rz(-0.0458) q[4];
cx q[6], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
cx q[6], q[5];
rz(x0) q[5];
cx q[6], q[5];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[6]... | null | {"circuits": [], "gradients": []} |
6daefc4dd59cf0044a6f4465e7314486 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 5}, {"source": 1, "target":... | {"states": [35, 3], "expectation_value": -23.9728321626949, "params": null, "bitstrings": ["111011100", "111111100"], "total_optimization_steps": 88, "probabilities": [0.14878097255068284, 0.3183566637512127], "optimization_time": 214.81117296218872} | -3.0 * (Z(0) @ Z(2)) + -3.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(0)) + -3.5 * (Z(6) @ Z(2)) + -3.5 * (Z(6) @ Z(0)) + -3.5 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + -4.0 * (Z(1) @ Z(6)) + 1.0 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 1.5 * (Z(4) @ Z(6)) + -2.5 * (Z(4) @ Z(1)) + -3.5... | 1 | 9 | 1 | {"smallest_eigenvalues": [-37.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -35.0, "smallest_bitstrings": ["111111100"]} | 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(-1.5577) q[6];
ry(-0.1626) q[2];
ry(-0.1397) q[3];
cry(-1.1311) q[4], q[2];
cry(-0.4679) q[4], q[3];
ry(-1.1914) q[0];
cry(0.1247) q[5], q[3];
cry(-0.0475) q[1], q[3];
cry(-0.1407) q[8]... | null | {"node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5577) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
fbfefcfa74040d0ce51ad9f65d60106e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [255, 127], "expectation_value": -16.789201846230043, "params": [[[-0.0029000000000000002, -0.043500000000000004], [-0.0047, -0.0022], [0.0001, -0.0025], [0.0032, -0.0028], [0.0011, -0.0024000000000000002], [-0.002, -0.0023], [-0.0032, 0.0149], [1.6287, -0.0029000000000000002]], [[0.0536, -1.6652], [-0.0015,... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + 2.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5)... | 15 | 8 | 2 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.0029) q[0];
ry(-0.0047) q[1];
ry(0.0001) q[2];
ry(0.0032) q[3];
ry(0.0011) q[4];
ry(-0.002) q[5];
ry(-0.0032) q[6];
ry(1.6287) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
20a60ed013bc1976376f734be7d8d92c | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 1, "target": 3}]} | {"states": [3821, 1773], "expectation_value": -5.091310785942085, "params": [0.8466, 0.503, 1.4873, 0.2162, 1.4332, 0.3826, 0.8542000000000001, 0.5117, 1.4927000000000001, 0.2624, 1.1159000000000001, 0.4067, 1.4949000000000001, 0.0897, 0.8219000000000001, 0.5134000000000001, 1.4994, 0.47150000000000003, 1.5003, 0.0697,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 16 | 12 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -6.0, "smallest_bitstrings": ["100100001001", "100100001010", "100100010001", "100010001001", "010010100001", "001001100100... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.8466) q[0];
rz(0.503) q[0];
rx(1.4873) q[1];
rz(0.2162) q[1];
rx(1.4332) q[2];
rz(0.3826) q[2];
rx(0.8542) q[3];
rz(0.5117) q[3];
rx(1.4927) q[4];
rz(0.2624) q[4];
rx(1.1159) q[5];
rz(0.4067) q[5];
rx(1.4949) q[6];
rz(0.0897) q[6];
rx(0.8219) 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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
4a81d129f4f12b9e64e94f5ddf0b959e | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [238, 236], "expectation_value": -86.54669575169407, "params": [[[0.7317, 0.281], [0.6443, 0.3417], [0.4753, 0.3556], [0.5033, 0.37320000000000003], [0.1262, 0.27690000000000003], [0.884, 0.34750000000000003], [0.7149, 0.3325], [-0.0756, 0.1247], [0.012, -0.11220000000000001]], [[0.18610000000000002, 0.0376]... | 7.0 * (Z(2) @ Z(0)) + 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(5) @ Z(2)) + 7.0 * (Z(3) @ Z(0)) + 7.0 * (Z(3) @ Z(5)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(5)) + 9.5 * Z(0) + 23.5 * Z(2) + 15.0 * Z(1) + 24.0 * Z(5) + 1... | 15 | 9 | 4 | {"smallest_eigenvalues": [-101.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.5, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.7317) q[0];
ry(0.6443) q[1];
ry(0.4753) q[2];
ry(0.5033) q[3];
ry(0.1262) q[4];
ry(0.884) q[5];
ry(0.7149) q[6];
ry(-0.0756) q[7];
ry(0.012) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
f9d3d45d98e19392f143ffe8793989b0 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"sour... | {"states": [88, 92], "expectation_value": -3.7749632071289665, "params": [-0.0055000000000000005, 0.5527000000000001, -0.0043, 0.007, 0.0165, 0.5945, 0.012400000000000001, 0.0017000000000000001, 0.904, 0.0043, 0.9071, 0.003, 0.0137, 0.44420000000000004, 0.0187, 0.0058000000000000005, 0.8998, -0.0021000000000000003, 0.9... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(4) @ Z(8)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -1.0 * Z(5) + ... | 7 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["011101001", "110101001", "110100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0055) q[0];
rz(0.5527) q[0];
rx(0.0165) q[1];
rz(0.5945) q[1];
rx(0.904) q[2];
rz(0.0043) q[2];
rx(0.0137) q[3];
rz(0.4442) q[3];
rx(0.8998) q[4];
rz(-0.0021) q[4];
rx(0.8393) q[5];
rz(0.0093) q[5];
rx(0.8208) q[6];
rz(0.0029) q[6];
rx(0.7313) 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": []} |
ac1bcc355fc17d96f5a771c5405fe0cf | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [215, 214], "expectation_value": -66.71437577189366, "params": [0.6842, 0.4325, 1.3974, 0.018600000000000002, 1.3952, 0.32370000000000004, 0.3648, 0.7396, 1.3981000000000001, -0.1721, -0.0184, -0.7002, 1.3917000000000002, -0.0024000000000000002, 1.3933, -0.1542, 0.7633000000000001, -0.3062, 0.6856, 0.0001, 1... | 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(6) @ Z(0)) + 5.5 * (Z(6) @ Z(2)) + 5.5 * (Z(6) @ Z(8)) + 5.5 * (Z(7) @ Z(8)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(5) @ Z(7)) + 7.5 * Z(0) + 9.0 * Z(1) + 19.5 * Z(2) + 10.0 * Z(4) + 1.... | 18 | 9 | 2 | {"smallest_eigenvalues": [-85.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["100101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.6842) q[0];
rz(0.4325) q[0];
rx(1.3974) q[1];
rz(0.0186) q[1];
rx(1.3952) q[2];
rz(0.3237) q[2];
rx(0.3648) q[3];
rz(0.7396) q[3];
rx(1.3981) q[4];
rz(-0.1721) q[4];
rx(-0.0184) q[5];
rz(-0.7002) q[5];
rx(1.3917) q[6];
rz(-0.0024) q[6];
rx(1.3933) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
406f205c8f68e15d44cfdbce281f4c7d | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [37, 56], "expectation_value": -0.9649131435935692, "params": [[-0.0815, -0.07490000000000001, -0.079, -0.077], [0.08070000000000001, 0.07390000000000001, 0.0756, 0.0752]], "bitstrings": ["011010", "000111"], "total_optimization_steps": 10, "probabilities": [0.03572191185331689, 0.03603025551049461], "optimi... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(3) + 0.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["001110", "011010", "000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(-0.0815) q[0];
cx q[4], q[0];
cx q[3], q[1];
rz(-0.0815) q[1];
cx q[3], q[1];
cx q[4], q[2];
rz(-0.0815) q[2];
cx q[4], q[2];
cx q[3], q[2];
rz(-0.0815) q[2];
cx q[3], q[2];
cx q[4], q[5];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
7192811123396178656 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1], [8, 2], [0, 2], [1, 4], [1, 2], [2, 7], [0, 4], [3, 4], [8, 5], [8, 7], [4, 7], [3, 6], [2, 4], [0, 3], [3, 5], [2, 5], [2, 3]]} | {"states": [113, 398], "expectation_value": -0.16952885566633477, "params": [[0.07050000000000001], [-0.07300000000000001]], "bitstrings": ["110001110", "001110001"], "total_optimization_steps": 10, "probabilities": [0.002331464933517933, 0.002331464933517933], "optimization_time": 0.8248493671417236} | 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["001110001", "001010101", "110101010", "110001110"]} | 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[8];
rz(0.0705) q[8];
cx q[1], q[8];
cx q[1], q[2];
rz(0.0705) q[2];
cx q[1], q[2];
cx q[8], q[2];
rz(0.0705) q[2];
cx q[8], q[2];
cx q[2], q[0];
rz(0.0705) q[0];
cx q[2], q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[8];
rz(x0) q[8];
cx q[1], q[8];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[8], q[2];
rz(x0) q[2];
cx q[8], q[2];... | null | {"circuits": [], "gradients": []} |
11cd2beb66d9af0f1795a09b2dc12b1f | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [200, 216], "expectation_value": -5.053976243170991, "params": [0.4043, -0.0006000000000000001, 0.40990000000000004, -0.0004, 0.4073, 0.0001, 0.40750000000000003, -0.0, 0.1413, 0.0009000000000000001, 0.1582, -0.0001, 0.39930000000000004, -0.0004, 0.40080000000000005, 0.0001, 0.4078, 0.0009000000000000001, 0.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * Z(2) + -0.5 * Z(0) + -1.0 *... | 6 | 8 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["00100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4043) q[0];
rz(-0.0006) q[0];
rx(0.4073) q[1];
rz(0.0001) q[1];
rx(0.1413) q[2];
rz(0.0009) q[2];
rx(0.3993) q[3];
rz(-0.0004) q[3];
rx(0.4078) q[4];
rz(0.0009) q[4];
rx(0.069) q[5];
rz(-0.035) q[5];
rx(0.2042) q[6];
rz(-0.003) q[6];
rx(0.3827) 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": []} |
bd4c1476c3aa7cafea7811e124c4791d | 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": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.20714273708080067, "params": [[0.0524], [-0.0426]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004417783165050616, 0.0044608527305754295], "optimization_time": 2.2149975299835205} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "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[1], q[0];
rz(-0.0524) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.0786) q[3];
cx q[0], q[3];
cx q[0], q[7];
rz(0.1572) q[7];
cx q[0], q[7];
cx q[3], q[7];
rz(-0.0524) q[7];
cx q[3], q[7];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
3bcfe4648282d1b3b76d6f42e87e5c5d | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [28, 44], "expectation_value": -1.174772946683539, "params": [[-0.062400000000000004, -0.056, -0.053700000000000005, -0.0726], [0.0737, 0.0664, 0.0627, 0.0665]], "bitstrings": ["100011", "010011"], "total_optimization_steps": 10, "probabilities": [0.03122434975565181, 0.03122434975565183], "optimization_time... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 * Z(5) + -0.5 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["100011", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0624) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(-0.0624) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0.0624) q[5];
cx q[0], q[5];
cx q[5], q[2];
rz(-0.0624) q[2];
cx q[5], q[2];
cx q[5], q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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": []} |
4100956486e3cd626bf6b734439a9442 | 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": 4, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 4, "source": 2, ... | {"states": [127, 41], "expectation_value": -3.0862406835051166, "params": [[-0.1341], [0.1379]], "bitstrings": ["10000000", "11010110"], "total_optimization_steps": 20, "probabilities": [0.010922797818671615, 0.011365893142099907], "optimization_time": 2.5662412643432617} | -1.0 * (Z(0) @ Z(4)) + -1.0 * (Z(5) @ Z(4)) + -1.25 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(5)) + -1.25 * (Z(7) @ Z(4)) + 2.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(7)) + -0.75 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -1.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.5, "smallest_bitstrings": ["11010110", "11011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(0.2682) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(0.2682) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(0.3352) q[5];
cx q[0], q[5];
cx q[5], q[1];
rz(0.2011) q[1];
cx q[5], q[1];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
e4e902d97ba530f1316e54d3eb408a10 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [100, 104], "expectation_value": -4.9998997789470465, "params": null, "bitstrings": ["0011011", "0010111"], "total_optimization_steps": 30, "probabilities": [1.7124344283732326e-05, 0.9999499575563242], "optimization_time": 28.508428812026978} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * Z(4) + -1.0 * Z(0) + -1.0 * Z(5) + -1.5 * Z(6) + -0.5 * Z(1) + -1.5 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0010111", "1011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[6];
ry(-1.5681) q[2];
ry(-1.4449) q[5];
ry(-1.4449) q[4];
ry(1.4449) q[1];
ry(1.4384) q[0];
ry(1.4384) q[3];
cry(-0.1259) q[3], q[4];
cry(-0.1259) q[3], q[5];
cry(0.1248) q[1], q[0];
cry(0.1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
4d70328aecc8c1ea3157fc10838636c1 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [22, 7], "expectation_value": -12.41713742248698, "params": null, "bitstrings": ["1101001", "1111000"], "total_optimization_steps": 64, "probabilities": [0.10636678277270013, 0.6088615559824023], "optimization_time": 88.63292670249939} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 18 | 7 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5577) q[1];
cry(-1.5708) q[5], q[3];
ry(0.7803) q[5];
cry(-1.5708) q[6], q[2];
ry(0.8165) q[6];
cry(-1.5708) q[4], q[0];
ry(0.8986) q[4];
ry(-0.4176) q[0];
ry(-0.3345) q[3];
ry(-0.3052) q[2];
cry(0.... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5577) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
b10e647670f759bc4f3dd1387515cbab | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [35, 75], "expectation_value": -0.07226167882816174, "params": [[-0.0747], [0.0719]], "bitstrings": ["1011100", "0110100"], "total_optimization_steps": 10, "probabilities": [0.008573687022627305, 0.008915261588609225], "optimization_time": 2.7941110134124756} | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(4)) + -0.125 * (Z(3) @ Z(0) @ Z(5)) + -0.125 * (Z(0) @ Z(5) @ Z(4)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(3) @ Z(0) @ Z(5... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.375, "smallest_bitstrings": ["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];
cx q[1], q[0];
rz(-0.0747) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.0187) q[3];
cx q[0], q[3];
cx q[4], q[0];
rz(-0.0187) q[0];
cx q[4], q[0];
cx q[5], q[0];
rz(-0.0187) q[0];
cx q[5], q[0];
cx q[4], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
c... | null | {"circuits": [], "gradients": []} |
ff4d8612be902cee01cbb69055101657 | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [44, 56], "expectation_value": -3.496304682848828, "params": null, "bitstrings": ["010011", "000111"], "total_optimization_steps": 22, "probabilities": [0.06706466845673519, 0.9295035070619324], "optimization_time": 12.811722040176392} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["010110", "000111", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[4];
ry(-1.4449) q[5];
ry(1.4449) q[2];
ry(1.4449) q[0];
cry(-1.0398) q[1], q[3];
ry(0.6944) q[1];
ry(-0.451) q[3];
cry(0.4963) q[2], q[1];
cry(-0.3778) q[2], q[3];
cry(0.2518) q[0], q[1];
cry(-0.149... | 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[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
ceada473950316c985fdaa58a8618609 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 3}, {"weight": 10, "source": 2, "target": 3}, {... | {"states": [189, 109], "expectation_value": -24.283461034118876, "params": [[0.0304, 0.0021000000000000003], [-0.0857, -0.0698]], "bitstrings": ["01000010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.010759926789602728, 0.012786529602442503], "optimization_time": 5.282262563705444} | 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(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "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(0.2432) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2432) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2432) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2432) q[3];
cx q[1], q[3];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
-4157298599113952080 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 1, 2, 4], [3, 4]]} | {"states": [17, 21], "expectation_value": -0.7032346403041855, "params": [[[3.1386000000000003, 0.0066], [0.5098, 0.006200000000000001], [1.5774000000000001, 0.0097], [-0.0027, 0.0051], [3.1445000000000003, 0.0045000000000000005]]], "bitstrings": ["01110", "01010"], "total_optimization_steps": 370, "probabilities": [0.... | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * Z(1) + 0.125 * Z(0) + 0.125 * Z(2) + 0.125 * Z(4) + 0.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-0.75, -0.75, -0.75, -0.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.6666666666666667, "smallest_bitstrings": ["10010", "00001", "00110", "01010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(3.1386) q[0];
rz(0.0066) q[0];
rx(0.5098) q[1];
rz(0.0062) q[1];
rx(1.5774) q[2];
rz(0.0097) q[2];
rx(-0.0027) q[3];
rz(0.0051) q[3];
rx(3.1445) q[4];
rz(0.0045) q[4];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3];
c[4] ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | null | {"circuits": [], "gradients": []} |
84b91339520a2e133912f29f3a567751 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [343, 361], "expectation_value": -32.35079404037904, "params": [[[-1.3613, 1.4080000000000001], [0.9517, 1.403], [1.4065, 0.9882000000000001], [0.8604, 1.3637000000000001], [0.7729, 0.1885], [1.4002000000000001, 1.3988], [1.3936000000000002, 1.3938000000000001], [1.4052, 1.4059000000000001], [1.4083, 0.40940... | 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(1) @ Z(3)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(3)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(8) @ Z(1)) + 6.0 * (Z(0) @ Z(9)) + 13.5 * Z(3) + 11.0 * Z(2) + 13.5 * Z(1) + 8.0 * Z(4) + 1.0 * Z(5) + 7.5 * Z(6) + 0.5 * Z(7) + -5.5 *... | 15 | 10 | 1 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.5, "smallest_bitstrings": ["1010010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-1.3613) q[0];
ry(0.9517) q[1];
ry(1.4065) q[2];
ry(0.8604) q[3];
ry(0.7729) q[4];
ry(1.4002) q[5];
ry(1.3936) q[6];
ry(1.4052) q[7];
ry(1.4083) q[8];
ry(-0.4179) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
0714803fc241e2360d666ed1e871e287 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": ... | {"states": [126, 383], "expectation_value": -11.500398534132675, "params": null, "bitstrings": ["1110000001", "1010000000"], "total_optimization_steps": 100, "probabilities": [0.14730060603826467, 0.44090848773427527], "optimization_time": 149.66807222366333} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(1) + 0.5 * Z(9) | 5 | 10 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1010000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(1.5706) q[3], q[5];
ry(1.056) q[3];
cry(1.5707) q[3], q[4];
cry(1.5701) q[5], q[6];
cry(0.4073) q[6], q[5];
ry(-1.5681) q[2];
ry(-1.5708) q[0];
cry(1.5486) q[7], q[8];
cry(1.... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5706) q[3], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... |
fb354d60453679d679afcbc2ef259e36 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [33, 26], "expectation_value": -0.3970360909473307, "params": [[-0.0613, -0.0603], [0.0685, 0.0636]], "bitstrings": ["011110", "100101"], "total_optimization_steps": 10, "probabilities": [0.019483465818023595, 0.021022394644378398], "optimization_time": 3.8091554641723633} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0613) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0613) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.0613) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(-0.0613) q[3];
cx q[2], q[3];
cx q[0], q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0... | null | {"circuits": [], "gradients": []} |
4f3f5177c9a3f446d5fcf2165ff37690 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [714, 710], "expectation_value": -105.46748514753672, "params": [0.00030000000000000003, 0.8898, 0.8, 0.2456, -0.0056, 0.2973, 0.7612, -0.0092, 0.7933, 0.186, 0.0017000000000000001, 0.7296, -0.0021000000000000003, 0.9098, 0.7645000000000001, -0.17350000000000002, 0.7345, 0.1139, 0.8069000000000001, 0.0079, 0... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(9) @ Z(7)) + 7.5 * (Z(10) @ Z(9)) + 6.5 * Z(1) + -3.5 * Z(0) + 1.5 * Z(2) + 15.0 * Z(4) + 9.5 * Z(3) + 1.5 * Z(5) + -0.5 * Z(8) + 1.5 * Z(7) + 8.0 * Z(9) + -... | 18 | 11 | 4 | {"smallest_eigenvalues": [-111.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -100.5, "smallest_bitstrings": ["10100111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0003) q[0];
rz(0.8898) q[0];
rx(0.8) q[1];
rz(0.2456) q[1];
rx(-0.0056) q[2];
rz(0.2973) q[2];
rx(0.7612) q[3];
rz(-0.0092) q[3];
rx(0.7933) q[4];
rz(0.186) q[4];
rx(0.0017) q[5];
rz(0.7296) q[5];
rx(-0.0021) q[6];
rz(0.9098) q[6];
rx(0.7645) 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... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
fc004364023d9de40312a47332ff3203 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [339, 493], "expectation_value": -1.8172212190090735, "params": [[[0.258, 1.0105], [0.0782, 1.2], [0.8234, 0.5428000000000001], [1.0470000000000002, 0.7686000000000001], [1.0753000000000001, 0.3038], [0.1227, 1.1989], [-0.13090000000000002, 1.1989], [0.4213, 0.38570000000000004], [0.2912, 0.4304], [0.0011, 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(0) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(1) @ Z(8)) + 0.125 * (Z(4) @ Z(7)) + 0.... | 15 | 10 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.375, "smallest_bitstrings": ["1000010010", "1000001100", "0101001000", "0011100000", "1000100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.258) q[0];
ry(0.0782) q[1];
ry(0.8234) q[2];
ry(1.047) q[3];
ry(1.0753) q[4];
ry(0.1227) q[5];
ry(-0.1309) q[6];
ry(0.4213) q[7];
ry(0.2912) q[8];
ry(0.0011) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
ed01866ce53def5a36a69737a2fd120b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [99, 67], "expectation_value": -0.038140253960864214, "params": [[0.0364], [-0.0376]], "bitstrings": ["10011100", "10111100"], "total_optimization_steps": 10, "probabilities": [0.004089179079857757, 0.0040892401550323455], "optimization_time": 1.976696252822876} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.25 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["10000100", "10001100", "10011100", "10111100"]} | 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(-0.0182) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(-0.0182) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(-0.0364) q[5];
cx q[0], q[5];
cx q[2], q[7];
rz(-0.0182) q[7];
cx q[2], q[7];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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(x0) q[0];
cx q[2],... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
-2933049049569637002 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 4, 1], [0, 2], [6, 7], [0, 7], [1, 7], [9, 2, 4, 7], [2, 3, 5], [8, 3]]} | {"states": [228, 229], "expectation_value": -2.9567598674778215, "params": null, "bitstrings": ["1100011011", "1100011010"], "total_optimization_steps": 68, "probabilities": [0.09464556932222849, 0.7410834392968747], "optimization_time": 98.97069311141968} | 0.25 * (Z(9) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(9)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(9)) + 0.5 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-3.166666666666666, -3.166666666666666], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.083333333333333, "smallest_bitstrings": ["1101001000", "1100011010"]} | 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];
ry(1.1408) q[4];
cry(-1.0342) q[7], q[0];
ry(1.3774) q[2];
cry(-0.5042) q[2], q[0];
ry(1.1069) q[7];
cry(-1.3927) q[7], q[6];
cry(-1.3775) q[7], q[1];
ry(-0.4225) q[0];
cry(0.224... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.1408) 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]... |
4ded767c90d9410be35df06c5e86627d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "ta... | {"states": [0, 127], "expectation_value": -14.59531346207753, "params": [[[0.0027, 1.609], [0.0018000000000000002, 0.0017000000000000001], [0.003, 0.0023], [0.0028, -0.003], [0.0023, 0.0022], [0.0021000000000000003, 0.0021000000000000003], [0.0024000000000000002, 0.0026000000000000003]]], "bitstrings": ["1111111", "000... | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 1.0 * Z(0) + -1.5 * Z(2) + 1.0 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) | 15 | 7 | 1 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["0000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.0027) q[0];
ry(0.0018) q[1];
ry(0.003) q[2];
ry(0.0028) q[3];
ry(0.0023) q[4];
ry(0.0021) q[5];
ry(0.0024) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(1.609) q[0];
ry(0.0017) q[1];
ry(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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;
ry(x0) q[0];
ry(x1... | {"node": 2} | {"circuits": [], "gradients": []} |
281d21ec8ac6f46cd51560ec916b23ad | 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": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [0, 960], "expectation_value": -35.50315476568467, "params": [-0.2071, 1.0377, -0.19060000000000002, 0.0035, -1.1577, 0.3234, 0.24050000000000002, 0.005, -1.135, 0.23650000000000002, -0.0171, 0.0071, -0.5589000000000001, 0.2846, -0.1246, 0.007, -0.0031000000000000003, 2.5735, 0.0026000000000000003, 0.0075000... | -2.0 * (Z(0) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + -3.5 * (Z(4) @ Z(5)) + -3.5 * (Z(8) @ Z(5)) + -3.0 * (Z(8) @ Z(4)) + -3.5 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + -3.5 * (Z(6) @ Z(8)) + -3.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 1.... | 6 | 10 | 1 | {"smallest_eigenvalues": [-38.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.0, "smallest_bitstrings": ["0000111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.2071) q[0];
rz(1.0377) q[0];
rx(-1.1577) q[1];
rz(0.3234) q[1];
rx(-1.135) q[2];
rz(0.2365) q[2];
rx(-0.5589) q[3];
rz(0.2846) q[3];
rx(-0.0031) q[4];
rz(2.5735) q[4];
rx(-0.0029) q[5];
rz(2.4837) q[5];
rx(-0.0032) q[6];
rz(2.5714) q[6];
rx(-0.0032) 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[... | {"node": 7} | {"circuits": [], "gradients": []} |
4595906142819083680 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1], [9, 2, 3, 7], [8, 1, 2, 5], [5, 6, 8, 9, 10], [0, 6], [3, 4], [0, 9, 4], [1, 10], [10, 5, 7], [1, 5, 7], [0, 2, 3, 5, 10], [0, 9, 7], [9, 3, 5, 1], [8, 9, 4], [9, 2, 4, 1], [8, 7], [8, 3, 5, 6], [8, 4, 5, 6], [1, 6, 7], [9, 5, 7], [9, 10, 3, 5]]} | {"states": [189, 701], "expectation_value": -3.806488166174094, "params": [0.5315, 0.4108, 0.5332, 0.0034000000000000002, 1.1943000000000001, 0.1709, 1.1602000000000001, 0.0007, 1.1536, 0.35550000000000004, 0.7871, 0.0016, 1.2955, 0.0007, 1.2894, 0.0077, 0.6713, -0.3366, 0.6716000000000001, 0.0048000000000000004, 1.293... | 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(10) @ Z(1)) + 0.3333333333333333 * (Z(10) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.05 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(10)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.05 * (Z(4) @ Z(0)) + 0.25 * (Z(4) @ Z(10)) + 0.13333333333333333 * (Z(4) @ Z(3)) ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-5.366666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.233333333333334, "smallest_bitstrings": ["10101000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.5315) q[0];
rz(0.4108) q[0];
rx(1.1943) q[1];
rz(0.1709) q[1];
rx(1.1536) q[2];
rz(0.3555) q[2];
rx(1.2955) q[3];
rz(0.0007) q[3];
rx(0.6713) q[4];
rz(-0.3366) q[4];
rx(1.2938) q[5];
rz(0.0582) q[5];
rx(1.2969) q[6];
rz(0.0213) q[6];
rx(1.29) 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": []} |
4b286739930aa40acbbd407a2e9abf0c | 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": [335, 327], "expectation_value": -64.34454278733998, "params": [0.9945, 0.1701, 0.446, 0.3264, 0.9909, 0.0044, 0.0058000000000000005, 0.5606, -0.0009000000000000001, -0.5685, 0.4954, 0.3488, 0.9968, 0.0045000000000000005, 0.7052, 0.0426, 1.0035, -0.0012000000000000001, 0.992, 0.13870000000000002, 0.454, 0.29... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(0) @ Z(2)) + 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(6) @ Z(1)) + 6.0 * (Z(5) @ Z(0)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(7) @ Z(0)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(3) @ Z(8)) + 16.0 * Z(2) + 9.5 * Z(1) + 18.0 * Z(0) + -3.5 * Z(4) + 9.5 * Z(6) + 10.0 * Z(5) + 6.5 * Z(7) + 3.0 *... | 18 | 9 | 3 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.0, "smallest_bitstrings": ["010111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.9945) q[0];
rz(0.1701) q[0];
rx(0.446) q[1];
rz(0.3264) q[1];
rx(0.9909) q[2];
rz(0.0044) q[2];
rx(0.0058) q[3];
rz(0.5606) q[3];
rx(-0.0009) q[4];
rz(-0.5685) q[4];
rx(0.4954) q[5];
rz(0.3488) q[5];
rx(0.9968) q[6];
rz(0.0045) q[6];
rx(0.7052) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
8627cac5692b6aae3c2c208c37b0b1f4 | 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": 7}, {"sour... | {"states": [31, 127], "expectation_value": -11.244578587498467, "params": null, "bitstrings": ["11100000", "10000000"], "total_optimization_steps": 86, "probabilities": [0.1592008064546003, 0.5022972370620267], "optimization_time": 118.70922660827637} | -1.0 * (Z(1) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(3)) + -2.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "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];
cry(1.5708) q[5], q[7];
cry(1.5708) q[3], q[4];
ry(1.5708) q[6];
ry(0.847) q[3];
ry(-0.4191) q[4];
cry(-0.0001) q[6], q[4];
cry(0.669) q[7], q[4];
ry(1.063) q[5];
ry(-0.4791) q[7];
cry(0.5678) q[4... | null | {"node": 0} | {"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[5], 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] = mea... |
58ab9b57bb5d3ba1983e43d3f29bec32 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 2, "target": 1}]} | {"states": [3, 1], "expectation_value": -1.017754621227219, "params": [[-0.043000000000000003, -0.054200000000000005, -0.054, -0.0626], [0.042, 0.0541, 0.0585, 0.066]], "bitstrings": ["1100", "1110"], "total_optimization_steps": 10, "probabilities": [0.1058910739034381, 0.11334935591541558], "optimization_time": 2.0991... | -0.75 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -1.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(3) + 1.0 * Z(2) | 1 | 4 | 4 | {"smallest_eigenvalues": [-4.75, -4.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["1110", "1100"]} | 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(0.0645) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.086) q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.086) q[2];
cx q[1], q[2];
rz(0.1505) q[1];
rz(0.0215) q[0];
rz(-0.086) q[3];
rz(-0.086) q[2];
h q[0];
rz(0.084) 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": 3} | {"circuits": [], "gradients": []} |
44e8495c1eeae4e26ce46cf2532bece4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 7, "source": 0, "target": 6... | {"states": [45, 41], "expectation_value": -15.638706323606964, "params": null, "bitstrings": ["1010010", "1010110"], "total_optimization_steps": 60, "probabilities": [0.23385726160713027, 0.46952566867748324], "optimization_time": 74.8736891746521} | -1.25 * (Z(0) @ Z(2)) + -1.75 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -1.75 * (Z(4) @ Z(2)) + -1.75 * (Z(4) @ Z(0)) + 4.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 3.0 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-23.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["1010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.2796) q[1];
ry(1.5599) q[3];
ry(1.0625) q[6];
ry(-1.5577) q[4];
cry(-0.4805) q[6], q[0];
cry(-0.0803) q[3], q[0];
ry(0.0001) q[0];
cry(-0.0624) q[1], q[0];
cry(-1.3832) q[3], q[6];
cry(0.0045) q[1], ... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.2796) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
9b6c90aee56ab84919f7c826e678a024 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [35, 37], "expectation_value": -2.3403891236552696, "params": null, "bitstrings": ["011100", "011010"], "total_optimization_steps": 31, "probabilities": [0.09171740636696295, 0.7966511080330144], "optimization_time": 36.525453090667725} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(2)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(5)) + -0.125 * (Z(3) @ Z(2) @ Z(5)) + 0.12... | 1 | 6 | 3 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.375, "smallest_bitstrings": ["101010", "011010", "011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5158) q[2];
cry(-1.3016) q[3], q[4];
ry(1.2942) q[5];
cry(-1.3048) q[0], q[1];
ry(0.7841) q[0];
ry(-0.5322) q[1];
ry(0.7829) q[3];
cry(0.505) q[5], q[0];
ry(-0.4525) q[4];
cry(0.4531) q[5], q[3];
cry(-0.286... | 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(-1.5158) 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... |
4ab3a9f98a5ea141820b159d6cb4ba53 | 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": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 1, ... | {"states": [127, 1], "expectation_value": -1.1467311569594638, "params": [[0.07100000000000001, 0.0726], [-0.0609, -0.0648]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.0070184864083333715, 0.007981928285547306], "optimization_time": 3.5714621543884277} | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(1) @ Z(5)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(1)) + 1.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(6) @... | 1 | 8 | 2 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(-0.071) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(-0.0355) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(-0.142) q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.071) q[1];
cx q[4], q[1];
cx q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
6daf67fc667d94fb23185963f87d67d3 | 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": [318, 316], "expectation_value": -101.52501684684512, "params": [0.21050000000000002, -0.25730000000000003, 0.7019000000000001, -0.0922, 0.2594, -0.1701, -0.0048000000000000004, 0.444, 0.7032, 0.0035, 0.6836, 0.0108, 0.6928000000000001, 0.0051, 0.7030000000000001, 0.0918, 0.3336, 0.1951, 0.0011, 0.4021, 0.20... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(5) @ Z(8)) + 7.5 * (Z(6) @ Z(1)) + 7.5 * (Z(6) @ Z(0)) + 7.5 * (Z(6) @ Z(8)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(7) @ Z(5)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(9) @ Z(4)) + 16.5 * Z(1) + 2.0 * Z(0) + 3.5 * Z... | 18 | 10 | 4 | {"smallest_eigenvalues": [-122.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -112.5, "smallest_bitstrings": ["1011000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.2105) q[0];
rz(-0.2573) q[0];
rx(0.7019) q[1];
rz(-0.0922) q[1];
rx(0.2594) q[2];
rz(-0.1701) q[2];
rx(-0.0048) q[3];
rz(0.444) q[3];
rx(0.7032) q[4];
rz(0.0035) q[4];
rx(0.6836) q[5];
rz(0.0108) q[5];
rx(0.6928) q[6];
rz(0.0051) q[6];
rx(0.703) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
fa1aa02644db6485d126884facd8fbe5 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 5}]} | {"states": [53, 60], "expectation_value": -3.4991049533046077, "params": null, "bitstrings": ["1001010", "1000011"], "total_optimization_steps": 32, "probabilities": [0.06552859483792234, 0.9338463438639887], "optimization_time": 27.167481899261475} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(3) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011010", "1001010", "1000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5681) q[0];
ry(-1.4449) q[5];
ry(1.4449) q[2];
ry(1.4417) q[4];
ry(1.4417) q[1];
cry(-1.0342) q[3], q[6];
ry(0.7003) q[3];
cry(-0.1259) q[4], q[5];
ry(-0.4549) q[6];
cry(0.4963) q[2], q[3];
cry(-0.3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) 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", ... |
b4844a241e7c75ea7eb690acd3c4c004 | graph_coloring | 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": [413, 350], "expectation_value": -0.2685987255826636, "params": [[0.0516, 0.020300000000000002], [-0.054200000000000005, -0.0269]], "bitstrings": ["001100010", "010100001"], "total_optimization_steps": 10, "probabilities": [0.002244013188108112, 0.002244013188108113], "optimization_time": 4.855303049087524} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.25, "smallest_bitstrings": ["001010100", "001100010", "100001010", "010001100", "010100001", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.0516) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0516) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0516) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.0258) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
c502b67eb6d91d909ba398fa39bec60c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}]} | {"states": [20, 23], "expectation_value": -3.499934076181417, "params": null, "bitstrings": ["01011", "01000"], "total_optimization_steps": 19, "probabilities": [1.3833501308055688e-05, 0.9999481856908635], "optimization_time": 11.581056594848633} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["01000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5708) q[1];
ry(1.4449) q[4];
ry(1.4449) q[0];
ry(1.4449) q[2];
ry(1.4449) q[3];
cry(0.1187) q[3], q[4];
cry(0.1188) q[4], q[0];
cry(0.1188) q[0], q[2];
cry(0.1186) q[0], q[3];
cry(0.0072) q[0], q[4];
c[0] = measure... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[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]... |
b4844a241e7c75ea7eb690acd3c4c004 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [1, 2], "expectation_value": -0.8831399904840993, "params": null, "bitstrings": ["110", "101"], "total_optimization_steps": 8, "probabilities": [0.12891599074045149, 0.7538151034229991], "optimization_time": 3.391557455062866} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -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];
ry(-1.4449) q[0];
cry(-1.0398) q[1], q[2];
ry(0.6944) q[1];
ry(-0.451) q[2];
cry(-0.2383) q[2], q[1];
cry(-0.112) q[1], q[0];
cry(-0.0349) q[2], q[0];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2]; | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[0];\ncry(-1.0398... |
4ebe1ba332cd617b8e5bd7ef47d6eab4 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [11, 139], "expectation_value": -4.712869698894551, "params": [1.599, -0.003, 0.5839, 0.0035, 0.1497, 0.5158, 0.017400000000000002, -0.0016, 1.6033000000000002, 0.0041, 0.0964, 0.3377, 1.5981, 0.0012000000000000001, 1.6034000000000002, 0.0016, -1.5842, -0.6231, 0.5377000000000001, -0.020900000000000002, -1.5... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(7)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 *... | 4 | 8 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["01110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.599) q[0];
rz(-0.003) q[0];
rx(0.5839) q[1];
rz(0.0035) q[1];
rx(0.1497) q[2];
rz(0.5158) q[2];
rx(0.0174) q[3];
rz(-0.0016) q[3];
rx(1.6033) q[4];
rz(0.0041) q[4];
rx(0.0964) q[5];
rz(0.3377) q[5];
rx(1.5981) q[6];
rz(0.0012) q[6];
rx(1.6034) 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": []} |
3855709974827586501 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 3, 4], [0, 2, 3, 5], [1, 2, 5], [0, 1, 5], [1, 2, 3], [0, 1, 2]]} | {"states": [55, 45], "expectation_value": -0.9684795999050789, "params": [[-0.36310000000000003], [0.37170000000000003]], "bitstrings": ["001000", "010010"], "total_optimization_steps": 40, "probabilities": [0.033741127967326943, 0.03462875566541765], "optimization_time": 1.2509171962738037} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.5 * (Z(1... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.5833333333333344], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5000000000000004, "smallest_bitstrings": ["010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.2421) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.2421) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.121) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(-0.0605) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
410a620476bb1ab89428221268021245 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [20, 80], "expectation_value": -2.5649170485814303, "params": [[0.0752, 0.0712, 0.0753], [-0.0767, -0.0604, -0.0629]], "bitstrings": ["1101011", "0101111"], "total_optimization_steps": 10, "probabilities": [0.01557091379308365, 0.015570913793083667], "optimization_time": 5.781216859817505} | 0.5 * (Z(0) @ Z(1)) + 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(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (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) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.5, "smallest_bitstrings": ["1101011", "0101111", "1110101", "1110011", "0110111"]} | 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(0.0752) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.0752) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0752) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(0.0752) q[5];
cx q[1], q[5];
cx q[0], q[5];
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": []} |
-7385117203467436562 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 5, 7], [1, 2, 3, 5, 6, 7], [0, 1, 2, 7], [0, 1, 3, 4, 6, 7], [0, 2, 3, 6, 7], [2, 4, 7]]} | {"states": [238, 252], "expectation_value": -0.5455771539188218, "params": [[0.281], [-0.2884]], "bitstrings": ["00010001", "00000011"], "total_optimization_steps": 30, "probabilities": [0.006522424105403603, 0.006522424105403606], "optimization_time": 2.6079037189483643} | 0.19999999999999998 * (Z(0) @ Z(1)) + 0.11666666666666667 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.23333333333333334 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(0)) + 0.11666666666666667 * (Z(7) @ Z(5)) + 0.11666666666666667 * (Z(2) @ Z(1)) + 0.13333333333333333 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(2) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.4333333333333336, -1.4333333333333336], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.366666666666667, "smallest_bitstrings": ["00010001", "00000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.1124) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(0.0656) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0468) q[5];
cx q[0], q[5];
cx q[1], q[7];
rz(0.1311) q[7];
cx q[1], q[7];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
2038434859549264650 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4, 5, 6, 7], [1, 3, 4, 6, 7], [0, 3, 4, 7], [0, 1, 2, 3], [0, 2, 4, 7]]} | {"states": [183, 190], "expectation_value": -0.6325543467217055, "params": [[0.42310000000000003], [-0.42650000000000005]], "bitstrings": ["01001000", "01000001"], "total_optimization_steps": 50, "probabilities": [0.008414581440059122, 0.008414581440059122], "optimization_time": 3.4502346515655518} | 0.18333333333333335 * (Z(3) @ Z(4)) + 0.05 * (Z(5) @ Z(4)) + 0.05 * (Z(5) @ Z(3)) + 0.1 * (Z(6) @ Z(4)) + 0.1 * (Z(6) @ Z(3)) + 0.05 * (Z(6) @ Z(5)) + 0.26666666666666666 * (Z(7) @ Z(4)) + 0.18333333333333335 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(5)) + 0.1 * (Z(7) @ Z(6)) + 0.05 * (Z(1) @ Z(4)) + 0.13333333333333333 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.1500000000000004, -1.1500000000000004], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.15, "smallest_bitstrings": ["01000101", "01000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[3];
rz(0.1551) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(0.0423) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(0.0423) q[5];
cx q[3], q[5];
cx q[4], q[6];
rz(0.0846) q[6];
cx q[4], q[6];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | null | {"circuits": [], "gradients": []} |
2e2b99aee8ac569092f35ace44b8c3ea | community_detection | 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": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [43349, 43605], "expectation_value": -1.7085596563474417, "params": [[1.4247, 0.1948, 1.5867, 0.2023, 1.5654000000000001, 0.2434, 1.6699000000000002, 1.5429000000000002, 0.2114, 1.5865, 0.1797, 1.5719, 0.1826, 1.6226, 0.2102, 0.2394], [1.6893, 0.2131, 1.5684, 0.192, 1.5744, 0.2091, 0.25120000000000003, 1.319... | 0.25 * (Z(0) @ Z(1)) + 0.0002066115702479339 * (Z(2) @ Z(0)) + 0.0002066115702479339 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0008264462809917356 * (Z(4) @ Z(0)) + -0.0008264462809917356 * (Z(4) @ Z(2)) + -0.0008264462809917356 * (Z(5) @ Z(1)) + -0.0008264462809917356 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0007... | 10 | 16 | 1 | {"smallest_eigenvalues": [-2.0237603305784773], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.023760330578402, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(1.4247) q[0];
ry(0.1948) q[1];
ry(1.5867) q[2];
ry(0.2023) q[3];
ry(1.5654) q[4];
ry(0.2434) q[5];
ry(1.6699) q[6];
ry(1.5429) q[7];
ry(0.2114) q[8];
ry(1.5865) q[9];
ry(0.1797) q[10];
ry(1.5719) q[11];
ry(0.1826) q[12];
ry(1.6226) q[13];
ry(0.2102) q[14]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
15a5f37f6b324be94a7fa874923284e5 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "ta... | {"states": [3, 7], "expectation_value": -11.938416272985677, "params": [[[0.7914, 0.0035], [0.9847, 0.00030000000000000003], [1.4609, 0.0032], [0.8162, 0.0014], [0.7915000000000001, 0.0098], [1.5966, 0.0054], [1.598, 0.001], [1.5969, 0.0047]]], "bitstrings": ["11111100", "11111000"], "total_optimization_steps": 160, "p... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2... | 1 | 8 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.7914) q[0];
rz(0.0035) q[0];
rx(0.9847) q[1];
rz(0.0003) q[1];
rx(1.4609) q[2];
rz(0.0032) q[2];
rx(0.8162) q[3];
rz(0.0014) q[3];
rx(0.7915) q[4];
rz(0.0098) q[4];
rx(1.5966) q[5];
rz(0.0054) q[5];
rx(1.598) q[6];
rz(0.001) q[6];
rx(1.5969) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"k": 5} | {"circuits": [], "gradients": []} |
44f2999396e93485f9b2b45d8a91217a | 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": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capac... | {"states": [0, 1], "expectation_value": -24.820415377331603, "params": [0.0, -0.21000000000000002, -0.0008, -0.2109, -0.0028, -0.2217, -0.0037, -0.2192, -0.0016, -0.2243, -0.0059, -0.218, -0.0048000000000000004, -0.20770000000000002, -0.0029000000000000002, -0.2127, -0.0007, -0.1741, -0.005200000000000001, -0.225900000... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -1.25 * (Z(6) @ Z(4)) + 3.5 * (Z(9) @ Z(0)) + -1.25 * (Z(9) @ Z(6)) + -0.75 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @... | 5 | 10 | 3 | {"smallest_eigenvalues": [-28.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.25, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0) q[0];
rz(-0.21) q[0];
rx(-0.0028) q[1];
rz(-0.2217) q[1];
rx(-0.0016) q[2];
rz(-0.2243) q[2];
rx(-0.0048) q[3];
rz(-0.2077) q[3];
rx(-0.0007) q[4];
rz(-0.1741) q[4];
rx(-0.0026) q[5];
rz(-0.2245) q[5];
rx(-0.0037) q[6];
rz(-0.1593) q[6];
rx(0.0003) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
8930984217390217498 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 5], [0, 6], [0, 4], [4, 5], [4, 6], [1, 2], [3, 4], [1, 3]]} | {"states": [25, 27], "expectation_value": -1.8404032811275255, "params": null, "bitstrings": ["1100110", "1100100"], "total_optimization_steps": 51, "probabilities": [0.2891944795312596, 0.30489274433625757], "optimization_time": 57.66599750518799} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -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": 18, "first_excited_energy": -1.0, "smallest_bitstrings": ["0100111", "1100100", "1100011", "1100010", "1011100", "1011011", "1011010", "0100110", "0100... | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.0342) q[6], q[4];
cry(-1.0342) q[3], q[1];
ry(1.0293) q[3];
cry(-0.8214) q[2], q[1];
cry(1.1655) q[3], q[2];
ry(-0.3465) q[1];
cry(-0.6534) q[5], q[4];
ry(0.9979) q[6];
cry(-0.405) q[3], q[4];
cry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[6], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
444b62b2304e1a19fde52e526911bdcb | 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": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [18, 34], "expectation_value": -3.411632246301548, "params": null, "bitstrings": ["101101", "011101"], "total_optimization_steps": 19, "probabilities": [0.06012643125721689, 0.7888196926370306], "optimization_time": 18.31049108505249} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["010111", "101101", "011101", "110011", "100111", "111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[5];
ry(-1.5681) q[3];
cry(-1.0343) q[0], q[1];
cry(-1.0342) q[4], q[2];
ry(0.7003) q[4];
ry(0.7003) q[0];
ry(-0.4549) q[1];
ry(-0.4549) q[2];
cry(0.4578) q[4], q[0];
cry(0.4515) q[0], 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(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
4cd28f9bc761b26f6d6f15aeccbaedea | 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": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [52, 44], "expectation_value": -3.4890916346507894, "params": null, "bitstrings": ["1001011", "1010011"], "total_optimization_steps": 32, "probabilities": [0.06071916604716631, 0.8639381839609779], "optimization_time": 33.15403485298157} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(4) + 0.0 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.0 * Z(6) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5, "smallest_bitstrings": ["0001111", "0010111", "0110110", "1110010", "1010011", "0101101", "1001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[5];
ry(-1.4449) q[6];
ry(1.4417) q[1];
cry(-1.0398) q[3], q[2];
cry(-1.0342) q[4], q[0];
ry(0.7022) q[3];
ry(0.7003) q[4];
ry(-0.4578) q[2];
cry(0.4969) q[1], q[3];
ry(-0.4549) q[0];
cry(0.4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
bd95f34b8c2fc1d1e2873e7a686c1eaf | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}, {"id": 15}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"sourc... | {"states": [511, 32767], "expectation_value": -13.207013896678045, "params": [[[-0.0027, 0.003], [1.5355, 0.0046], [-0.0025, 0.0032], [1.5172, 0.0076], [0.0028, 0.006], [1.5457, 0.0083], [-0.0028, 0.0], [-0.0028, 0.0092], [1.5197, 0.005], [0.0022, 0.0029000000000000002], [0.0848, 0.0079], [1.4814, 0.0053], [-0.0019, 0.... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + -1.5 * (Z(9) @ Z(10)) + 0.5 * (Z(11) @ Z(10)) + -1.5 * (Z(11) @ Z(9)) + -1.5 * (Z(12) @ Z(13)) + -1.5 * (Z(14) @ Z(13)) + -1.5 * (Z(14) @ Z(12)) + 0.5 * Z(1) + 0.5 * Z(0) + 1.0 * Z(3)... | 2 | 15 | 1 | {"smallest_eigenvalues": [-19.499999999999865], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.499999999999854, "smallest_bitstrings": ["000000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(-0.0027) q[0];
rz(0.003) q[0];
rx(1.5355) q[1];
rz(0.0046) q[1];
rx(-0.0025) q[2];
rz(0.0032) q[2];
rx(1.5172) q[3];
rz(0.0076) q[3];
rx(0.0028) q[4];
rz(0.006) q[4];
rx(1.5457) q[5];
rz(0.0083) q[5];
rx(-0.0028) q[6];
rz(0) q[6];
rx(-0.0028) 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[... | {"node": 2} | {"circuits": [], "gradients": []} |
87c3ced1ef7832360d99a2d1828a4d93 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1017, 1525], "expectation_value": -0.11754519364728001, "params": [[0.0592, 0.0623], [-0.062200000000000005, -0.0476]], "bitstrings": ["10000000110", "01000001010"], "total_optimization_steps": 10, "probabilities": [0.0006489666781258592, 0.0006489666781258601], "optimization_time": 24.099846839904785} | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (... | 1 | 11 | 2 | {"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;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(0.0148) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0148) q[0];
cx q[2], q[0];
cx q[3], q[0];
rz(0.0148) q[0];
cx q[3], q[0];
cx q[2], q[1];
rz(0.0148) 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": []} |
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