Non-Markovianity hierarchy of Gaussian processes and quantum amplificationTools 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 Full text not available from this repository.AbstractWe 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.
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