Coherence and non-classicality of quantum Markov processes

Although quantum coherence is a basic trait of quantum mechanics, the presence of coherences in the quantum description of a certain phenomenon does not rule out the possibility to give an alternative description of the same phenomenon in purely classical terms. Here, we give definite criteria to de...

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Bibliographic Details
Published in:Quantum science and technology 2018-11, Vol.4 (1), p.1
Main Authors: Smirne, A, Egloff, D, Díaz, M G, Plenio, M B, Huelga, S F
Format: Article
Language:English
Subjects:
multi-time statistics
non-classicality
quantum coherence
quantum Markovianity
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Summary:Although quantum coherence is a basic trait of quantum mechanics, the presence of coherences in the quantum description of a certain phenomenon does not rule out the possibility to give an alternative description of the same phenomenon in purely classical terms. Here, we give definite criteria to determine when and to what extent quantum coherence is equivalent to non-classicality. We prove that a Markovian multi-time statistics obtained from repeated measurements of a non-degenerate observable cannot be traced back to a classical statistics if and only if the dynamics generates coherences and subsequently turns them into populations. Furthermore, we show with simple examples that such connection between quantum coherence and non-classicality is generally absent if the statistics is non-Markovian.
ISSN:2058-9565
2058-9565
DOI:10.1088/2058-9565/aaebd5