sf.decompositions.bipartite_graph_embed¶
-
bipartite_graph_embed
(A, mean_photon_per_mode=1.0, rtol=1e-05, atol=1e-08)[source]¶ Embed a bipartite graph into a Gaussian state.
Given a bipartite graph in terms of an adjacency matrix (in general with arbitrary complex entries), returns the two-mode squeezing parameters and interferometers necessary for creating the Gaussian state that encodes such adjacency matrix
Uses
takagi()
.- Parameters
A (array[complex]) – square, (weighted) adjacency matrix of the bipartite graph
mean_photon_per_mode (float) – guarantees that the mean photon number in the pure Gaussian state representing the graph satisfies \(\frac{1}{N}\sum_{i=1}^N sinh(r_{i})^2 ==\) :code:
mean_photon
rtol (float) – relative tolerance used when checking if the input matrix is symmetric
atol (float) – absolute tolerance used when checking if the input matrix is symmetric
- Returns
squeezing parameters of the input state to the interferometer, and the unitaries matrix representing the interferometer
- Return type
tuple[array, array, array]