Quantum coherence fluctuation relations

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 cohere...

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Main Authors: Morris, Benjamin, Adesso, Gerardo
Format: Article
Published: IOP 2018
Online Access:https://eprints.nottingham.ac.uk/51484/
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author Morris, Benjamin
Adesso, Gerardo
author_facet Morris, Benjamin
Adesso, Gerardo
author_sort Morris, Benjamin
building Nottingham Research Data Repository
collection Online Access
description 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.
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spelling nottingham-514842020-05-04T19:34:36Z https://eprints.nottingham.ac.uk/51484/ Quantum coherence fluctuation relations Morris, Benjamin Adesso, Gerardo 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. IOP 2018-09-14 Article PeerReviewed Morris, Benjamin and Adesso, Gerardo (2018) Quantum coherence fluctuation relations. Journal of Physics A: Mathematical and Theoretical, 51 . ISSN 1751-8121 http://iopscience.iop.org/article/10.1088/1751-8121/aac115 doi:10.1088/1751-8121/aac115 doi:10.1088/1751-8121/aac115
spellingShingle Morris, Benjamin
Adesso, Gerardo
Quantum coherence fluctuation relations
title Quantum coherence fluctuation relations
title_full Quantum coherence fluctuation relations
title_fullStr Quantum coherence fluctuation relations
title_full_unstemmed Quantum coherence fluctuation relations
title_short Quantum coherence fluctuation relations
title_sort quantum coherence fluctuation relations
url https://eprints.nottingham.ac.uk/51484/
https://eprints.nottingham.ac.uk/51484/
https://eprints.nottingham.ac.uk/51484/