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Non-Markovianity hierarchy of Gaussian processes and quantum amplification

Liuzzo-Scorpo, Pietro; Roga, Wojciech; Souza, Leonardo A.M.; Bernardes, Nadja K.; Adesso, Gerardo


Pietro Liuzzo-Scorpo

Wojciech Roga

Leonardo A.M. Souza

Nadja K. Bernardes


We investigate the dynamics of Gaussian states of continuous variable systems under Gaussianity-preserving channels. We introduce a hierarchy of such evolutions encompassing Markovian and weakly and strongly non-Markovian processes and provide simple criteria to distinguish between the classes, based on the degree of positivity of intermediate Gaussian maps. We present an intuitive classification of all one-mode Gaussian channels according to their non-Markovianity degree and show that weak non-Markovianity has an operational significance, as it leads to a temporary phase-insensitive amplification of Gaussian inputs beyond the fundamental quantum limit. Explicit examples and applications are discussed.


Liuzzo-Scorpo, P., Roga, W., Souza, L. A., Bernardes, N. K., & Adesso, G. (2017). Non-Markovianity hierarchy of Gaussian processes and quantum amplification. Physical Review Letters, 118(5), Article 050401.

Journal Article Type Article
Acceptance Date Dec 8, 2016
Online Publication Date Jan 31, 2017
Publication Date Feb 3, 2017
Deposit Date Feb 23, 2017
Publicly Available Date Feb 23, 2017
Journal Physical Review Letters
Print ISSN 0031-9007
Electronic ISSN 1079-7114
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 118
Issue 5
Article Number 050401
Public URL
Publisher URL


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