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Time reversals of irreversible quantum maps
KTH, School of Computer Science and Communication (CSC), Computational Biology, CB. KTH, School of Electrical Engineering (EES), Centres, ACCESS Linnaeus Centre. Aalto Univ.
2015 (English)In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, E-ISSN 1751-8121, Vol. 48, no 38, 38FT01Article in journal (Refereed) Published
Abstract [en]

We propose an alternative notion of time reversal in open quantum systems as represented by linear quantum operations, and a related generalization of classical entropy production in the environment. This functional is the ratio of the probability to observe a transition between two states under the forward and the time reversed dynamics, and leads, as in the classical case, to fluctuation relations as tautological identities. As in classical dynamics in contact with a heat bath, time reversal is not unique, and we discuss several possibilities. For any bistochastic map its dual map preserves the trace and describes a legitimate dynamics reversed in time, in that case the entropy production in the environment vanishes. For a generic stochastic map we construct a simple quantum operation which can be interpreted as a time reversal. For instance, the decaying channel, which sends the excited state into the ground state with a certain probability, can be reversed into the channel transforming the ground state into the excited state with the same probability.

Place, publisher, year, edition, pages
Institute of Physics Publishing (IOPP), 2015. Vol. 48, no 38, 38FT01
Keyword [en]
time reversal, quantum map, fluctuation relations
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-174920DOI: 10.1088/1751-8113/48/38/38FT01ISI: 000361552000001Scopus ID: 2-s2.0-84941029167OAI: oai:DiVA.org:kth-174920DiVA: diva2:861772
Funder
Swedish Research Council
Note

QC 20151019

Available from: 2015-10-19 Created: 2015-10-09 Last updated: 2017-12-01Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
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  • vancouver
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  • de-DE
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  • nn-NB
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  • Other locale
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