Non-Markovianity hierarchy of Gaussian processes and quantum amplification

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

Research output: Contribution to journalArticle

5 Citations (Scopus)

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.
LanguageEnglish
Article number050401
Pages1-6
Number of pages6
JournalPhysical Review Letters
Volume118
Issue number5
DOIs
Publication statusPublished - 31 Jan 2017

Fingerprint

Gaussian Process
Amplification
hierarchies
preserving
Non-Markovian Processes
Continuous Variables
Positivity
Intuitive
Hierarchy

Keywords

  • Gaussian state
  • non-Markovian process
  • quantum amplification
  • open quantum systems
  • Markovianity

Cite this

Liuzzo-Scorpo, P., Roga, W., Souza, L. A. M., Bernardes, N. K., & Adesso, G. (2017). Non-Markovianity hierarchy of Gaussian processes and quantum amplification. Physical Review Letters, 118(5), 1-6. [050401]. https://doi.org/10.1103/PhysRevLett.118.050401
Liuzzo-Scorpo, Pietro ; Roga, Wojciech ; Souza, Leonardo A. M. ; Bernardes, Nadja K. ; Adesso, Gerardo. / Non-Markovianity hierarchy of Gaussian processes and quantum amplification. In: Physical Review Letters. 2017 ; Vol. 118, No. 5. pp. 1-6.
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Liuzzo-Scorpo, P, Roga, W, Souza, LAM, Bernardes, NK & Adesso, G 2017, 'Non-Markovianity hierarchy of Gaussian processes and quantum amplification' Physical Review Letters, vol. 118, no. 5, 050401, pp. 1-6. https://doi.org/10.1103/PhysRevLett.118.050401

Non-Markovianity hierarchy of Gaussian processes and quantum amplification. / Liuzzo-Scorpo, Pietro; Roga, Wojciech; Souza, Leonardo A. M.; Bernardes, Nadja K.; Adesso, Gerardo.

In: Physical Review Letters, Vol. 118, No. 5, 050401, 31.01.2017, p. 1-6.

Research output: Contribution to journalArticle

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Liuzzo-Scorpo P, Roga W, Souza LAM, Bernardes NK, Adesso G. Non-Markovianity hierarchy of Gaussian processes and quantum amplification. Physical Review Letters. 2017 Jan 31;118(5):1-6. 050401. https://doi.org/10.1103/PhysRevLett.118.050401