Robustness of coherence: an operational and observable measure of quantum coherence

Quantifying coherence is an essential endeavour for both quantum foundations and quantum technologies. Here the robustness of coherence is defined and proven a full monotone in the context of the recently introduced resource theories of quantum coherence. The measure is shown to be observable, as it...

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Main Authors:	Napoli, Carmine, Bromley, Thomas R., Cianciaruso, Marco, Piani, Marco, Johnston, Nathaniel, Adesso, Gerardo
Format:	Article
Language:	English
Published:	American Physical Society 2016
Online Access:	http://eprints.nottingham.ac.uk/40793/ http://eprints.nottingham.ac.uk/40793/ http://eprints.nottingham.ac.uk/40793/ http://eprints.nottingham.ac.uk/40793/1/1601.03781.pdf

id	nottingham-40793
recordtype	eprints
spelling	nottingham-407932018-06-27T09:35:28Z http://eprints.nottingham.ac.uk/40793/ Robustness of coherence: an operational and observable measure of quantum coherence Napoli, Carmine Bromley, Thomas R. Cianciaruso, Marco Piani, Marco Johnston, Nathaniel Adesso, Gerardo Quantifying coherence is an essential endeavour for both quantum foundations and quantum technologies. Here the robustness of coherence is defined and proven a full monotone in the context of the recently introduced resource theories of quantum coherence. The measure is shown to be observable, as it can be recast as the expectation value of a coherence witness operator for any quantum state. The robustness of coherence is evaluated analytically on relevant classes of states, and an efficient semidefinite program that computes it on general states is given. An operational interpretation is finally provided: the robustness of coherence quantifies the advantage enabled by a quantum state in a phase discrimination task. American Physical Society 2016-04-12 Article PeerReviewed application/pdf en http://eprints.nottingham.ac.uk/40793/1/1601.03781.pdf Napoli, Carmine and Bromley, Thomas R. and Cianciaruso, Marco and Piani, Marco and Johnston, Nathaniel and Adesso, Gerardo (2016) Robustness of coherence: an operational and observable measure of quantum coherence. Physical Review Letters, 116 . 150502/1-150502/6. ISSN 1079-7114 http://journals.aps.org/prl/pdf/10.1103/PhysRevLett.116.150502 doi:10.1103/PhysRevLett.116.150502 doi:10.1103/PhysRevLett.116.150502
repository_type	Digital Repository
institution_category	Local University
institution	University of Nottingham Malaysia Campus
building	Nottingham Research Data Repository
collection	Online Access
language	English
description	Quantifying coherence is an essential endeavour for both quantum foundations and quantum technologies. Here the robustness of coherence is defined and proven a full monotone in the context of the recently introduced resource theories of quantum coherence. The measure is shown to be observable, as it can be recast as the expectation value of a coherence witness operator for any quantum state. The robustness of coherence is evaluated analytically on relevant classes of states, and an efficient semidefinite program that computes it on general states is given. An operational interpretation is finally provided: the robustness of coherence quantifies the advantage enabled by a quantum state in a phase discrimination task.
format	Article
author	Napoli, Carmine Bromley, Thomas R. Cianciaruso, Marco Piani, Marco Johnston, Nathaniel Adesso, Gerardo
spellingShingle	Napoli, Carmine Bromley, Thomas R. Cianciaruso, Marco Piani, Marco Johnston, Nathaniel Adesso, Gerardo Robustness of coherence: an operational and observable measure of quantum coherence
author_facet	Napoli, Carmine Bromley, Thomas R. Cianciaruso, Marco Piani, Marco Johnston, Nathaniel Adesso, Gerardo
author_sort	Napoli, Carmine
title	Robustness of coherence: an operational and observable measure of quantum coherence
title_short	Robustness of coherence: an operational and observable measure of quantum coherence
title_full	Robustness of coherence: an operational and observable measure of quantum coherence
title_fullStr	Robustness of coherence: an operational and observable measure of quantum coherence
title_full_unstemmed	Robustness of coherence: an operational and observable measure of quantum coherence
title_sort	robustness of coherence: an operational and observable measure of quantum coherence
publisher	American Physical Society
publishDate	2016
url	http://eprints.nottingham.ac.uk/40793/ http://eprints.nottingham.ac.uk/40793/ http://eprints.nottingham.ac.uk/40793/ http://eprints.nottingham.ac.uk/40793/1/1601.03781.pdf
first_indexed	2018-09-06T13:08:44Z
last_indexed	2018-09-06T13:08:44Z
_version_	1610863686315933696

Robustness of coherence: an operational and observable measure of quantum coherence

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