Non-Markovianity Hierarchy of Gaussian Processes and Quantum Amplification

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, base...

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Bibliographic Details
Published in:Physical review letters 2017-02, Vol.118 (5), p.050401-050401, Article 050401
Main Authors: Liuzzo-Scorpo, Pietro, Roga, Wojciech, Souza, Leonardo A M, Bernardes, Nadja K, Adesso, Gerardo
Format: Article
Language:English
Subjects:
Amplification
Channels
Classification
Dynamic tests
Dynamical systems
Evolution
Gaussian process
Hierarchies
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Summary: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.
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.118.050401