Non-Markovianity hierarchy of Gaussian processes and quantum amplification

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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). pp. 1-6. 050401. ISSN 1079-7114 (https://doi.org/10.1103/PhysRevLett.118.050401)

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Abstract

We investigate dynamics of Gaussian states of continuous variable systems under Gaussianity preserving channels. We introduce a hierarchy of such evolutions encompassing Markovian, 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 temporary phase-insensitive amplification of Gaussian inputs beyond the fundamental quantum limit. Explicit examples and applications are discussed.

ORCID iDs

Liuzzo-Scorpo, Pietro, Roga, Wojciech ORCID logoORCID: https://orcid.org/0000-0003-4434-2515, Souza, Leonardo A. M., Bernardes, Nadja K. and Adesso, Gerardo;
  • Item type:Article
    ID code:59679
    Dates:
    Date
    Event
    31 January 2017
    Published
    8 December 2016
    Accepted
    Subjects:Science > Physics
    Department:Faculty of Science > Physics
    Depositing user: Pure Administrator
    Date deposited:02 Feb 2017 11:23
    Last modified:02 Feb 2025 12:02
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/59679
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