RT Journal Article
T1 Simple factorization of unitary transformations
A1 de Guise, Hubert
A1 Di Matteo, Olivia
A1 Sánchez Soto, Luis Lorenzo
AB 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.
PB American Physical Society
SN 2469-9926
YR 2018
FD 2018-02-20
LK https://hdl.handle.net/20.500.14352/11995
UL https://hdl.handle.net/20.500.14352/11995
LA eng
NO ©2018 American Physical Society.The work of H.d.G. and O.D.M. is supported by NSERCof Canada. I.Q.C. is supported in part by the Government ofCanada and the Province of Ontario. O.D.M. is also gratefulfor hospitality at the MPL. L.L.S.S. acknowledges financialsupport from the Spanish MINECO (Grant No. FIS2015-67963-P). We thank L. Rudnicki for helpful discussions.
NO Ministerio de Economía y Competitividad (MINECO)
DS Docta Complutense
RD 9 abr 2025