Non-Markovianity of Gaussian Channels

We introduce a necessary and sufficient criterion for the non-Markovianity of Gaussian quantum dynamical maps based on the violation of divisibility. The criterion is derived by defining a general vectorial representation of the covariance matrix which is then exploited to determine the condition fo...

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Bibliographic Details
Published in:	Physical review letters Vol. 115; no. 7; p. 070401
Main Authors:	Torre, G, Roga, W, Illuminati, F
Format:	Journal Article
Language:	English
Published:	United States 14-08-2015
Subjects:	Channels Construction Criteria Gaussian Intervals Optimization Representations
Online Access:	Get full text
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Summary:	We introduce a necessary and sufficient criterion for the non-Markovianity of Gaussian quantum dynamical maps based on the violation of divisibility. The criterion is derived by defining a general vectorial representation of the covariance matrix which is then exploited to determine the condition for the complete positivity of partial maps associated with arbitrary time intervals. Such construction does not rely on the Choi-Jamiolkowski representation and does not require optimization over states.
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23
ISSN:	0031-9007 1079-7114
DOI:	10.1103/PhysRevLett.115.070401