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Quantum coherence fluctuation relations

Morris, Benjamin; Adesso, Gerardo

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Authors

Benjamin Morris



Abstract

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.

Citation

Morris, B., & Adesso, G. (2018). Quantum coherence fluctuation relations. Journal of Physics A: Mathematical and Theoretical, 51, Article 414007. https://doi.org/10.1088/1751-8121/aac115

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 Mar 29, 2024
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
DOI https://doi.org/10.1088/1751-8121/aac115
Public URL https://nottingham-repository.worktribe.com/output/929877
Publisher URL http://iopscience.iop.org/article/10.1088/1751-8121/aac115

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