Non-Markovianity hierarchy of Gaussian processes and quantum amplification

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

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.

Citation

Liuzzo-Scorpo, P., Roga, W., Souza, L. A., Bernardes, N. K., & Adesso, G. (2017). Non-Markovianity hierarchy of Gaussian processes and quantum amplification. Physical Review Letters, 118(5), Article 050401. https://doi.org/10.1103/PhysRevLett.118.050401

• Journal Article Type: Article
• Acceptance Date: Dec 8, 2016
• Online Publication Date: Jan 31, 2017
• Publication Date: Feb 3, 2017
• Deposit Date: Feb 23, 2017
• Publicly Available Date: Feb 23, 2017
• Journal: Physical Review Letters
• Print ISSN: 0031-9007
• Electronic ISSN: 1079-7114
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 118
• Issue: 5
• Article Number: 050401
• DOI: https://doi.org/10.1103/PhysRevLett.118.050401
• Public URL: https://nottingham-repository.worktribe.com/output/838382
• Publisher URL: http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.118.050401
• Contract Date: Feb 23, 2017