Assisted distillation of quantum coherence

We introduce and study the task of assisted coherence distillation. This task arises naturally in bipartite systems where both parties work together to generate the maximal possible coherence on one of the subsystems. Only incoherent operations are allowed on the target system, while general local q...

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Main Authors: Chitambar, E., Streltsov, A., Rana, S., Bera, M. N., Adesso, Gerardo, Lewenstein, M.
Format: Article
Published: American Physical Society 2016
Online Access:https://eprints.nottingham.ac.uk/40795/
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author Chitambar, E.
Streltsov, A.
Rana, S.
Bera, M. N.
Adesso, Gerardo
Lewenstein, M.
author_facet Chitambar, E.
Streltsov, A.
Rana, S.
Bera, M. N.
Adesso, Gerardo
Lewenstein, M.
author_sort Chitambar, E.
building Nottingham Research Data Repository
collection Online Access
description We introduce and study the task of assisted coherence distillation. This task arises naturally in bipartite systems where both parties work together to generate the maximal possible coherence on one of the subsystems. Only incoherent operations are allowed on the target system, while general local quantum operations are permitted on the other; this is an operational paradigm that we call local quantum-incoherent operations and classical communication. We show that the asymptotic rate of assisted coherence distillation for pure states is equal to the coherence of assistance, an analog of the entanglement of assistance, whose properties we characterize. Our findings imply a novel interpretation of the von Neumann entropy: it quantifies the maximum amount of extra quantum coherence a system can gain when receiving assistance from a collaborative party. Our results are generalized to coherence localization in a multipartite setting and possible applications are discussed.
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spelling nottingham-407952020-05-04T17:36:21Z https://eprints.nottingham.ac.uk/40795/ Assisted distillation of quantum coherence Chitambar, E. Streltsov, A. Rana, S. Bera, M. N. Adesso, Gerardo Lewenstein, M. We introduce and study the task of assisted coherence distillation. This task arises naturally in bipartite systems where both parties work together to generate the maximal possible coherence on one of the subsystems. Only incoherent operations are allowed on the target system, while general local quantum operations are permitted on the other; this is an operational paradigm that we call local quantum-incoherent operations and classical communication. We show that the asymptotic rate of assisted coherence distillation for pure states is equal to the coherence of assistance, an analog of the entanglement of assistance, whose properties we characterize. Our findings imply a novel interpretation of the von Neumann entropy: it quantifies the maximum amount of extra quantum coherence a system can gain when receiving assistance from a collaborative party. Our results are generalized to coherence localization in a multipartite setting and possible applications are discussed. American Physical Society 2016-02-19 Article PeerReviewed Chitambar, E., Streltsov, A., Rana, S., Bera, M. N., Adesso, Gerardo and Lewenstein, M. (2016) Assisted distillation of quantum coherence. Physical Review Letters, 116 (7). 070402. ISSN 0031-9007 http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.116.070402 doi:10.1103/PhysRevLett.116.070402 doi:10.1103/PhysRevLett.116.070402
spellingShingle Chitambar, E.
Streltsov, A.
Rana, S.
Bera, M. N.
Adesso, Gerardo
Lewenstein, M.
Assisted distillation of quantum coherence
title Assisted distillation of quantum coherence
title_full Assisted distillation of quantum coherence
title_fullStr Assisted distillation of quantum coherence
title_full_unstemmed Assisted distillation of quantum coherence
title_short Assisted distillation of quantum coherence
title_sort assisted distillation of quantum coherence
url https://eprints.nottingham.ac.uk/40795/
https://eprints.nottingham.ac.uk/40795/
https://eprints.nottingham.ac.uk/40795/