Quantum coherence fluctuation relations

Morris, Benjamin; Adesso, Gerardo

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: 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
• 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
• Contract Date: Apr 30, 2018