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Quantum coherence fluctuation relations

Morris, Benjamin; Adesso, Gerardo


Benjamin Morris


We investigate manipulations of pure quantum states under incoherent or strictly incoherent operations assisted by a coherence battery, that is, a storage device whose degree of coherence is allowed to fluctuate in the process. This leads to the derivation of fluctuation relations for quantum coherence, analogous to Jarzynski's and Crooks' relations for work in thermodynamics. Coherence is thus revealed as another instance of a physical resource, in addition to athermality and entanglement, for which a connection is established between the majorisation framework (regulating pure state transformations under suitable free operations) and the emergence of fluctuation theorems. Our study is hoped to provide further insight into the general structure of battery assisted quantum resource theories, and more specifically into the interplay between quantum coherence and quantum thermodynamics.


Morris, B., & Adesso, G. (2018). Quantum coherence fluctuation relations. Journal of Physics A: Mathematical and Theoretical, 51, Article 414007.

Journal Article Type Article
Acceptance Date Apr 30, 2018
Online Publication Date Apr 30, 2018
Publication Date Sep 14, 2018
Deposit Date Apr 30, 2018
Publicly Available Date May 1, 2019
Journal Journal of Physics A: Mathematical and Theoretical
Print ISSN 1751-8113
Electronic ISSN 1751-8121
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 51
Article Number 414007
Public URL
Publisher URL


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