Quantum correlations and least disturbing local measurements

Autores
Rossignoli, Raúl Dante; Canosa, Norma Beatriz; Ciliberti, Leonardo Francisco
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We examine the evaluation of the minimum information loss due to an unread local measurement in mixed states of bipartite systems, for a general entropic form. Such a quantity provides a measure of quantum correlations, reducing for pure states to the generalized entanglement entropy, while in the case of mixed states it vanishes just for classically correlated states with respect to the measured system, as the quantum discord. General stationary conditions are provided, together with their explicit form for general two-qubit states. Closed expressions for the minimum information loss as measured by quadratic and cubic entropies are also derived for general states of two-qubit systems. As an application, we analyze the case of states with maximally mixed marginals, where a general evaluation is provided, as well as X states and the mixture of two aligned states.
Facultad de Ciencias Exactas
Instituto de Física La Plata
Materia
Ciencias Exactas
minimum information loss
bipartite systems
Measurement
maximally mixed marginals
quantum correlations
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/125988

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network_name_str SEDICI (UNLP)
spelling Quantum correlations and least disturbing local measurementsRossignoli, Raúl DanteCanosa, Norma BeatrizCiliberti, Leonardo FranciscoCiencias Exactasminimum information lossbipartite systemsMeasurementmaximally mixed marginalsquantum correlationsWe examine the evaluation of the minimum information loss due to an unread local measurement in mixed states of bipartite systems, for a general entropic form. Such a quantity provides a measure of quantum correlations, reducing for pure states to the generalized entanglement entropy, while in the case of mixed states it vanishes just for classically correlated states with respect to the measured system, as the quantum discord. General stationary conditions are provided, together with their explicit form for general two-qubit states. Closed expressions for the minimum information loss as measured by quadratic and cubic entropies are also derived for general states of two-qubit systems. As an application, we analyze the case of states with maximally mixed marginals, where a general evaluation is provided, as well as X states and the mixture of two aligned states.Facultad de Ciencias ExactasInstituto de Física La Plata2011-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/125988enginfo:eu-repo/semantics/altIdentifier/issn/1050-2947info:eu-repo/semantics/altIdentifier/issn/1094-1622info:eu-repo/semantics/altIdentifier/arxiv/1112.1587info:eu-repo/semantics/altIdentifier/doi/10.1103/physreva.84.052329info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-03T11:02:24Zoai:sedici.unlp.edu.ar:10915/125988Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 11:02:24.705SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Quantum correlations and least disturbing local measurements
title Quantum correlations and least disturbing local measurements
spellingShingle Quantum correlations and least disturbing local measurements
Rossignoli, Raúl Dante
Ciencias Exactas
minimum information loss
bipartite systems
Measurement
maximally mixed marginals
quantum correlations
title_short Quantum correlations and least disturbing local measurements
title_full Quantum correlations and least disturbing local measurements
title_fullStr Quantum correlations and least disturbing local measurements
title_full_unstemmed Quantum correlations and least disturbing local measurements
title_sort Quantum correlations and least disturbing local measurements
dc.creator.none.fl_str_mv Rossignoli, Raúl Dante
Canosa, Norma Beatriz
Ciliberti, Leonardo Francisco
author Rossignoli, Raúl Dante
author_facet Rossignoli, Raúl Dante
Canosa, Norma Beatriz
Ciliberti, Leonardo Francisco
author_role author
author2 Canosa, Norma Beatriz
Ciliberti, Leonardo Francisco
author2_role author
author
dc.subject.none.fl_str_mv Ciencias Exactas
minimum information loss
bipartite systems
Measurement
maximally mixed marginals
quantum correlations
topic Ciencias Exactas
minimum information loss
bipartite systems
Measurement
maximally mixed marginals
quantum correlations
dc.description.none.fl_txt_mv We examine the evaluation of the minimum information loss due to an unread local measurement in mixed states of bipartite systems, for a general entropic form. Such a quantity provides a measure of quantum correlations, reducing for pure states to the generalized entanglement entropy, while in the case of mixed states it vanishes just for classically correlated states with respect to the measured system, as the quantum discord. General stationary conditions are provided, together with their explicit form for general two-qubit states. Closed expressions for the minimum information loss as measured by quadratic and cubic entropies are also derived for general states of two-qubit systems. As an application, we analyze the case of states with maximally mixed marginals, where a general evaluation is provided, as well as X states and the mixture of two aligned states.
Facultad de Ciencias Exactas
Instituto de Física La Plata
description We examine the evaluation of the minimum information loss due to an unread local measurement in mixed states of bipartite systems, for a general entropic form. Such a quantity provides a measure of quantum correlations, reducing for pure states to the generalized entanglement entropy, while in the case of mixed states it vanishes just for classically correlated states with respect to the measured system, as the quantum discord. General stationary conditions are provided, together with their explicit form for general two-qubit states. Closed expressions for the minimum information loss as measured by quadratic and cubic entropies are also derived for general states of two-qubit systems. As an application, we analyze the case of states with maximally mixed marginals, where a general evaluation is provided, as well as X states and the mixture of two aligned states.
publishDate 2011
dc.date.none.fl_str_mv 2011-11
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/125988
url http://sedici.unlp.edu.ar/handle/10915/125988
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1050-2947
info:eu-repo/semantics/altIdentifier/issn/1094-1622
info:eu-repo/semantics/altIdentifier/arxiv/1112.1587
info:eu-repo/semantics/altIdentifier/doi/10.1103/physreva.84.052329
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
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reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
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institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
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