Violation of majorization relations in entangled states and its detection by means of generalized entropic forms

We examine the violation of the majorization relations between the eigenvalues of the full and reduced density operators of entangled states of composite systems and its detection using generalized entropic forms based on arbitrary concave functions. It is shown that the violation of these relations...

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Autores principales: Rossignoli, Raúl Dante, Canosa, Norma Beatriz
Formato: Articulo
Lenguaje:Inglés
Publicado: 2003
Materias:
Ciencias Exactas
Física
Physics
majorization relations
generalized entropic forms
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/126053
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-126053
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
Physics
majorization relations
generalized entropic forms
spellingShingle Ciencias Exactas
Física
Physics
majorization relations
generalized entropic forms
Rossignoli, Raúl Dante
Canosa, Norma Beatriz
Violation of majorization relations in entangled states and its detection by means of generalized entropic forms
topic_facet Ciencias Exactas
Física
Physics
majorization relations
generalized entropic forms
description We examine the violation of the majorization relations between the eigenvalues of the full and reduced density operators of entangled states of composite systems and its detection using generalized entropic forms based on arbitrary concave functions. It is shown that the violation of these relations may not always be detected by the conditional von Neumann and Tsallis entropies (for any q > 0). Families of smooth entropic forms which are always able to detect such violations are, however, provided. These features are then examined for particular sets of mixed states in a two-qudit system, which for d ≥ 3 may exhibit different types of violation of the majorization relations. Comparison with the Peres criterion for separability is also shown.
format Articulo
Articulo
author Rossignoli, Raúl Dante
Canosa, Norma Beatriz
author_facet Rossignoli, Raúl Dante
Canosa, Norma Beatriz
author_sort Rossignoli, Raúl Dante
title Violation of majorization relations in entangled states and its detection by means of generalized entropic forms
title_short Violation of majorization relations in entangled states and its detection by means of generalized entropic forms
title_full Violation of majorization relations in entangled states and its detection by means of generalized entropic forms
title_fullStr Violation of majorization relations in entangled states and its detection by means of generalized entropic forms
title_full_unstemmed Violation of majorization relations in entangled states and its detection by means of generalized entropic forms
title_sort violation of majorization relations in entangled states and its detection by means of generalized entropic forms
publishDate 2003
url http://sedici.unlp.edu.ar/handle/10915/126053
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