Completely positive divisibility does not mean markovianity
File(s)
Accepted version
Author(s)
Milz, Simon
Kim, MS
Pollock, Felix A
Modi, Kavan
Type
Journal Article
Abstract
In the classical domain, it is well known that divisibility does not imply that a stochastic process is Markovian. However, for quantum processes, divisibility is often considered to be synonymous with Markovianity. We show that completely positive divisible quantum processes can still involve non-Markovian temporal correlations, that we then fully classify using the recently developed process tensor formalism, which generalizes the theory of stochastic processes to the quantum domain.
Date Issued
2019-07-22
Date Acceptance
2019-07-01
Citation
Physical Review Letters, 2019, 123 (4), pp.040401-1-040401-6
ISSN
0031-9007
Publisher
American Physical Society (APS)
Start Page
040401-1
End Page
040401-6
Journal / Book Title
Physical Review Letters
Volume
123
Issue
4
Copyright Statement
© 2019 American Physical Society.
Sponsor
The Royal Society
Samsung Electronics Co. Ltd
Korea Institute of Science and Technology
Identifier
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.123.040401
Grant Number
WM140063
N/A
PHQL_P81550
Subjects
02 Physical Sciences
General Physics
Publication Status
Published
Article Number
040401
Date Publish Online
2019-07-22