%0 Journal Article
%A de Guise, Hubert
%A Di Matteo, Olivia
%A Sánchez Soto, Luis Lorenzo
%T Simple factorization of unitary transformations
%D 2018
%@ 2469-9926
%U https://hdl.handle.net/20.500.14352/11995
%X We demonstrate a method for general linear optical networks that allows one to factorize any SU(n) matrix in terms of two SU(n-1) blocks coupled by an SU(2) entangling beam splitter. The process can be recursively continued in a straightforward way, ending in a tidy arrangement of SU(2) transformations. The method hinges only on a linear relationship between input and output states, and can thus be applied to a variety of scenarios, such as microwaves, acoustics, and quantum fields.
%~