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Open Quantum Systems Decoherence

Non-Markovianity Hierarchy of Gaussian Processes and Quantum Amplification

arXiv

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

Year

2016

Paper ID

42754

Status

Preprint

Abstract Read

~2 min

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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 classify all single-mode phase-insensitive Gaussian channels according to their non-Markovianity degree, and show that weak non-Markovianity has an operational significance as it leads to temporary amplification of Gaussian inputs beyond the fundamental quantum limit. Explicit examples and applications are discussed.

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We investigate dynamics of Gaussian states of continuous variable systems under Gaussianity preserving channels.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1610.07893 [2] arXiv https://arxiv.org/abs/1610.07893 [3] Publisher https://arxiv.org/abs/1610.07893

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