Quantum non-Markovianity: characterization, quantification and detection.
File(s)
Accepted version
Author(s)
Rivas, Á
Huelga, SF
Plenio, MB
Type
Journal Article
Abstract
We present a comprehensive and up-to-date review of the concept of quantum non-Markovianity, a central theme in the theory of open quantum systems. We introduce the concept of a quantum Markovian process as a generalization of the classical definition of Markovianity via the so-called divisibility property and relate this notion to the intuitive idea that links non-Markovianity with the persistence of memory effects. A detailed comparison with other definitions presented in the literature is provided. We then discuss several existing proposals to quantify the degree of non-Markovianity of quantum dynamics and to witness non-Markovian behavior, the latter providing sufficient conditions to detect deviations from strict Markovianity. Finally, we conclude by enumerating some timely open problems in the field and provide an outlook on possible research directions.
Date Issued
2014-08-21
Date Acceptance
2014-05-01
Citation
Reports on Progress in Physics, 2014, 77 (9)
ISSN
1361-6633
Publisher
IOP Publishing
Journal / Book Title
Reports on Progress in Physics
Volume
77
Issue
9
Copyright Statement
©2014 IOP Publishing Ltd.
Publication Status
Published
Article Number
094001