Position representation of single-mode Gaussian channels beyond the Gaussian functional form

URN to cite this document:: urn:nbn:de:bvb:355-epub-383805
DOI to cite this document:: 10.5283/epub.38380

Davalos, David

; Moreno, Camilo

; Urbina, Juan Diego

; Pineda, Carlos

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Date of publication of this fulltext: 25 Feb 2019 09:54

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Abstract

We study one-mode Gaussian quantum channels in continuous-variable systems by performing a black-box characterization using complete positivity and trace preserving conditions, and report the existence of two subsets that do not have a functional Gaussian form. Our study covers as a particular limit the case of singular channels, thus connecting our results with their known classification scheme ...