Non-Markovianity hierarchy of Gaussian processes and quantum amplification

Liuzzo-Scorpo, Pietro and Roga, Wojciech and Souza, Leonardo A.M. and Bernardes, Nadja K. and Adesso, Gerardo (2017) Non-Markovianity hierarchy of Gaussian processes and quantum amplification. Physical Review Letters, 118 (5). 050401/1-050401/6. ISSN 1079-7114

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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.

Item Type: Article
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: https://doi.org/10.1103/PhysRevLett.118.050401
Depositing User: Adesso, Gerardo
Date Deposited: 23 Feb 2017 13:21
Last Modified: 23 Feb 2017 16:18
URI: http://eprints.nottingham.ac.uk/id/eprint/40776

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