Generalized measures of quantum correlations for mixed states

The exponential speedup achieved in certain quantum algorithms based on mixed states with negligible entanglement has renewed the interest on alternative measures of quantum correlations. Here we discuss a general measure of quantum correlations for composite systems based on generalized entropic fu...

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Detalles Bibliográficos
Autores principales: Rossignoli, Raúl Dante, Canosa, Norma Beatriz, Ciliberti, Leonardo Francisco
Formato: Articulo
Lenguaje:Inglés
Publicado: 2011
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/142122
Aporte de:
id I19-R120-10915-142122
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 correlations
quantum entanglement
generalized entropic forms
spellingShingle Ciencias Exactas
Física
quantum correlations
quantum entanglement
generalized entropic forms
Rossignoli, Raúl Dante
Canosa, Norma Beatriz
Ciliberti, Leonardo Francisco
Generalized measures of quantum correlations for mixed states
topic_facet Ciencias Exactas
Física
quantum correlations
quantum entanglement
generalized entropic forms
description The exponential speedup achieved in certain quantum algorithms based on mixed states with negligible entanglement has renewed the interest on alternative measures of quantum correlations. Here we discuss a general measure of quantum correlations for composite systems based on generalized entropic functions, defined as the minimum information loss due to a local measurement. For pure states, the present measure becomes an entanglement entropy, i.e., it reduces to the generalized entropy of the reduced state. However, for mixed states it can be nonzero in separable states, vanishing just for states diagonal in a general product basis, like the quantum discord. Quadratic measures of quantum correlations can be derived as particular cases of the present formalism. The minimum information loss due to a joint local measurement is also considered. The evaluation of these measures in a simple yet relevant case is also discussed.
format Articulo
Articulo
author Rossignoli, Raúl Dante
Canosa, Norma Beatriz
Ciliberti, Leonardo Francisco
author_facet Rossignoli, Raúl Dante
Canosa, Norma Beatriz
Ciliberti, Leonardo Francisco
author_sort Rossignoli, Raúl Dante
title Generalized measures of quantum correlations for mixed states
title_short Generalized measures of quantum correlations for mixed states
title_full Generalized measures of quantum correlations for mixed states
title_fullStr Generalized measures of quantum correlations for mixed states
title_full_unstemmed Generalized measures of quantum correlations for mixed states
title_sort generalized measures of quantum correlations for mixed states
publishDate 2011
url http://sedici.unlp.edu.ar/handle/10915/142122
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AT canosanormabeatriz generalizedmeasuresofquantumcorrelationsformixedstates
AT cilibertileonardofrancisco generalizedmeasuresofquantumcorrelationsformixedstates
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