Non-Markovianity Hierarchy of Gaussian Processes and Quantum Amplification
arXiv:1610.07893 · doi:10.1103/PhysRevLett.118.050401
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.
arXiv comment10 pages, 1 figure; close to published version
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