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 journalArticlepeer-review

12 Citations (Scopus)
43 Downloads (Pure)


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.
Original languageEnglish
Article number050401
Pages (from-to)1-6
Number of pages6
JournalPhysical Review Letters
Issue number5
Publication statusPublished - 31 Jan 2017


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


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