Quantumness of correlations, quantumness of ensembles and quantum data hiding

We study the quantumness of correlations for ensembles of bi- and multi-partite systems and relate it to the task of quantum data hiding. Quantumness is here intended in the sense of minimum average disturbance under local measurements. We consider a very general framework, but focus on local comple...

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Detalles Bibliográficos
Autores: Piani, Marco|||0000-0002-4698-9497, Narasimhachar, Varun|||0000-0001-8155-6120, Calsamiglia, John|||0000-0003-1735-1360
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:204033
Acceso en línea:https://ddd.uab.cat/record/204033
https://dx.doi.org/urn:doi:10.1088/1367-2630/16/11/113001
Access Level:acceso abierto
Palabra clave:Quantumness
Discord
Entanglement
Disturbance
Data hiding
Ensemble
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spelling Quantumness of correlations, quantumness of ensembles and quantum data hidingPiani, Marco|||0000-0002-4698-9497Narasimhachar, Varun|||0000-0001-8155-6120Calsamiglia, John|||0000-0003-1735-1360QuantumnessDiscordEntanglementDisturbanceData hidingEnsembleWe study the quantumness of correlations for ensembles of bi- and multi-partite systems and relate it to the task of quantum data hiding. Quantumness is here intended in the sense of minimum average disturbance under local measurements. We consider a very general framework, but focus on local complete von Neumann measurements as the cause of the disturbance, and, later on, on the trace-distance as a quantifier of the disturbance. We discuss connections with entanglement and previously defined notions of quantumness of correlations. We prove that a large class of quantifiers of the quantumness of correlations are entanglement monotones for pure bipartite states. In particular, we define an entanglement of disturbance for pure states, for which we give an analytical expression. Such a measure coincides with negativity and concurrence for the case of two qubits. We compute general bounds on disturbance for both single states and ensembles, and consider several examples, including the uniform Haar ensemble of pure states, and pairs of qubit states. Finally, we show that the notion of ensemble quantumness of correlations is most relevant in quantum data hiding. Indeed, while it is known that entanglement is not necessary for a good quantum data-hiding scheme, we prove that ensemble quantumness of correlations is necessary. 22014-01-0120142014-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/204033https://dx.doi.org/urn:doi:10.1088/1367-2630/16/11/113001reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Ciencia e Innovación https://doi.org/10.13039/501100004837 FIS2008-01236open accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2040332026-06-06T12:50:31Z
dc.title.none.fl_str_mv Quantumness of correlations, quantumness of ensembles and quantum data hiding
title Quantumness of correlations, quantumness of ensembles and quantum data hiding
spellingShingle Quantumness of correlations, quantumness of ensembles and quantum data hiding
Piani, Marco|||0000-0002-4698-9497
Quantumness
Discord
Entanglement
Disturbance
Data hiding
Ensemble
title_short Quantumness of correlations, quantumness of ensembles and quantum data hiding
title_full Quantumness of correlations, quantumness of ensembles and quantum data hiding
title_fullStr Quantumness of correlations, quantumness of ensembles and quantum data hiding
title_full_unstemmed Quantumness of correlations, quantumness of ensembles and quantum data hiding
title_sort Quantumness of correlations, quantumness of ensembles and quantum data hiding
dc.creator.none.fl_str_mv Piani, Marco|||0000-0002-4698-9497
Narasimhachar, Varun|||0000-0001-8155-6120
Calsamiglia, John|||0000-0003-1735-1360
author Piani, Marco|||0000-0002-4698-9497
author_facet Piani, Marco|||0000-0002-4698-9497
Narasimhachar, Varun|||0000-0001-8155-6120
Calsamiglia, John|||0000-0003-1735-1360
author_role author
author2 Narasimhachar, Varun|||0000-0001-8155-6120
Calsamiglia, John|||0000-0003-1735-1360
author2_role author
author
dc.subject.none.fl_str_mv Quantumness
Discord
Entanglement
Disturbance
Data hiding
Ensemble
topic Quantumness
Discord
Entanglement
Disturbance
Data hiding
Ensemble
description We study the quantumness of correlations for ensembles of bi- and multi-partite systems and relate it to the task of quantum data hiding. Quantumness is here intended in the sense of minimum average disturbance under local measurements. We consider a very general framework, but focus on local complete von Neumann measurements as the cause of the disturbance, and, later on, on the trace-distance as a quantifier of the disturbance. We discuss connections with entanglement and previously defined notions of quantumness of correlations. We prove that a large class of quantifiers of the quantumness of correlations are entanglement monotones for pure bipartite states. In particular, we define an entanglement of disturbance for pure states, for which we give an analytical expression. Such a measure coincides with negativity and concurrence for the case of two qubits. We compute general bounds on disturbance for both single states and ensembles, and consider several examples, including the uniform Haar ensemble of pure states, and pairs of qubit states. Finally, we show that the notion of ensemble quantumness of correlations is most relevant in quantum data hiding. Indeed, while it is known that entanglement is not necessary for a good quantum data-hiding scheme, we prove that ensemble quantumness of correlations is necessary.
publishDate 2014
dc.date.none.fl_str_mv 2
2014-01-01
2014
2014-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/204033
https://dx.doi.org/urn:doi:10.1088/1367-2630/16/11/113001
url https://ddd.uab.cat/record/204033
https://dx.doi.org/urn:doi:10.1088/1367-2630/16/11/113001
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Ciencia e Innovación https://doi.org/10.13039/501100004837 FIS2008-01236
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
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