Generalized entropic criterion for separability

We discuss the entropic criterion for separability of compound quantum systems for general nonadditive entropic forms based on arbitrary concave functions f. For any separable state, the generalized entropy of the whole system is shown to be not smaller than that of the subsystems, for any choice of...

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Detalles Bibliográficos
Autores principales: Rossignoli, Raúl Dante, Canosa, Norma Beatriz
Formato: Articulo
Lenguaje:Inglés
Publicado: 2002
Materias:
Ciencias Exactas
Física
entropic criterion
separability
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/126204
https://journals.aps.org/pra/abstract/10.1103/PhysRevA.66.042306
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-126204
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
entropic criterion
separability
spellingShingle Ciencias Exactas
Física
entropic criterion
separability
Rossignoli, Raúl Dante
Canosa, Norma Beatriz
Generalized entropic criterion for separability
topic_facet Ciencias Exactas
Física
entropic criterion
separability
description We discuss the entropic criterion for separability of compound quantum systems for general nonadditive entropic forms based on arbitrary concave functions f. For any separable state, the generalized entropy of the whole system is shown to be not smaller than that of the subsystems, for any choice of f, providing thus a necessary criterion for separability. Nevertheless, the criterion is not sufficient and examples of entangled states with the same property are provided. This entails, in particular, that the conjecture about the positivity of the conditional Tsallis entropy for all q, a more stringent requirement than the positivity of the conditional von Neumann entropy, is actually a necessary but not sufficient condition for separability in general. The direct relation between the entropic criterion and the largest eigenvalues of the full and reduced density operators of the system is also discussed.
format Articulo
Articulo
author Rossignoli, Raúl Dante
Canosa, Norma Beatriz
author_facet Rossignoli, Raúl Dante
Canosa, Norma Beatriz
author_sort Rossignoli, Raúl Dante
title Generalized entropic criterion for separability
title_short Generalized entropic criterion for separability
title_full Generalized entropic criterion for separability
title_fullStr Generalized entropic criterion for separability
title_full_unstemmed Generalized entropic criterion for separability
title_sort generalized entropic criterion for separability
publishDate 2002
url http://sedici.unlp.edu.ar/handle/10915/126204
https://journals.aps.org/pra/abstract/10.1103/PhysRevA.66.042306
work_keys_str_mv AT rossignolirauldante generalizedentropiccriterionforseparability
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