Metric character of the quantum Jensen-Shannon divergence

In a recent paper, the generalization of the Jensen-Shannon divergence in the context of quantum theory has been studied [Majtey <i>et al.</i>, Phys. Rev. A 72, 052310 (2005)]. This distance between quantum states has shown to verify several of the properties required for a good distingu...

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Autores principales: Lamberti, Pedro W., Majtey, Ana P., Borras, A., Casas, Montserrat, Plastino, Ángel Luis
Formato: Articulo
Lenguaje:Inglés
Publicado: 2008
Materias:
Ciencias Exactas
Física
quantum Jensen-Shannon divergence
quantum theory
square root
Physics
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/126384
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-126384
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
quantum Jensen-Shannon divergence
quantum theory
square root
Physics
spellingShingle Ciencias Exactas
Física
quantum Jensen-Shannon divergence
quantum theory
square root
Physics
Lamberti, Pedro W.
Majtey, Ana P.
Borras, A.
Casas, Montserrat
Plastino, Ángel Luis
Metric character of the quantum Jensen-Shannon divergence
topic_facet Ciencias Exactas
Física
quantum Jensen-Shannon divergence
quantum theory
square root
Physics
description In a recent paper, the generalization of the Jensen-Shannon divergence in the context of quantum theory has been studied [Majtey <i>et al.</i>, Phys. Rev. A 72, 052310 (2005)]. This distance between quantum states has shown to verify several of the properties required for a good distinguishability measure. Here we investigate the metric character of this distance. More precisely we show, formally for pure states and by means of a numerical procedure for mixed states, that its square root verifies the triangle inequality.
format Articulo
Articulo
author Lamberti, Pedro W.
Majtey, Ana P.
Borras, A.
Casas, Montserrat
Plastino, Ángel Luis
author_facet Lamberti, Pedro W.
Majtey, Ana P.
Borras, A.
Casas, Montserrat
Plastino, Ángel Luis
author_sort Lamberti, Pedro W.
title Metric character of the quantum Jensen-Shannon divergence
title_short Metric character of the quantum Jensen-Shannon divergence
title_full Metric character of the quantum Jensen-Shannon divergence
title_fullStr Metric character of the quantum Jensen-Shannon divergence
title_full_unstemmed Metric character of the quantum Jensen-Shannon divergence
title_sort metric character of the quantum jensen-shannon divergence
publishDate 2008
url http://sedici.unlp.edu.ar/handle/10915/126384
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AT borrasa metriccharacterofthequantumjensenshannondivergence
AT casasmontserrat metriccharacterofthequantumjensenshannondivergence
AT plastinoangelluis metriccharacterofthequantumjensenshannondivergence
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