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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| Format: | Article |
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American Physical Society
2017
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| Online Access: | https://eprints.nottingham.ac.uk/40776/ |
| _version_ | 1848796130939240448 |
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| author | Liuzzo-Scorpo, Pietro Roga, Wojciech Souza, Leonardo A.M. Bernardes, Nadja K. Adesso, Gerardo |
| author_facet | Liuzzo-Scorpo, Pietro Roga, Wojciech Souza, Leonardo A.M. Bernardes, Nadja K. Adesso, Gerardo |
| author_sort | Liuzzo-Scorpo, Pietro |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:43:06Z |
| format | Article |
| id | nottingham-40776 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:43:06Z |
| publishDate | 2017 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-407762020-05-04T18:29:02Z https://eprints.nottingham.ac.uk/40776/ Non-Markovianity hierarchy of Gaussian processes and quantum amplification Liuzzo-Scorpo, Pietro Roga, Wojciech Souza, Leonardo A.M. Bernardes, Nadja K. Adesso, Gerardo 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. American Physical Society 2017-01-31 Article PeerReviewed Liuzzo-Scorpo, Pietro, Roga, Wojciech, Souza, Leonardo A.M., Bernardes, Nadja K. and Adesso, Gerardo (2017) Non-Markovianity hierarchy of Gaussian processes and quantum amplification. Physical Review Letters, 118 (5). 050401/1-050401/6. ISSN 1079-7114 http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.118.050401 doi:10.1103/PhysRevLett.118.050401 doi:10.1103/PhysRevLett.118.050401 |
| spellingShingle | Liuzzo-Scorpo, Pietro Roga, Wojciech Souza, Leonardo A.M. Bernardes, Nadja K. Adesso, Gerardo Non-Markovianity hierarchy of Gaussian processes and quantum amplification |
| title | Non-Markovianity hierarchy of Gaussian processes and quantum amplification |
| title_full | Non-Markovianity hierarchy of Gaussian processes and quantum amplification |
| title_fullStr | Non-Markovianity hierarchy of Gaussian processes and quantum amplification |
| title_full_unstemmed | Non-Markovianity hierarchy of Gaussian processes and quantum amplification |
| title_short | Non-Markovianity hierarchy of Gaussian processes and quantum amplification |
| title_sort | non-markovianity hierarchy of gaussian processes and quantum amplification |
| url | https://eprints.nottingham.ac.uk/40776/ https://eprints.nottingham.ac.uk/40776/ https://eprints.nottingham.ac.uk/40776/ |