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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

Authors

Pietro Liuzzo-Scorpo

Wojciech Roga

Leonardo A.M. Souza

Nadja K. Bernardes

Gerardo Adesso



Abstract

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.

Journal Article Type Article
Publication Date Feb 3, 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
APA6 Citation Souza, L. A., 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), https://doi.org/10.1103/PhysRevLett.118.050401
DOI https://doi.org/10.1103/PhysRevLett.118.050401
Publisher URL http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.118.050401
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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