Quantum Discord and Information Deficit in Spin Chains

We examine the behavior of quantum correlations of spin pairs in a finite anisotropic XY spin chain immersed in a transverse magnetic field, through the analysis of the quantum discord and the conventional and quadratic one-way information deficits. We first provide a brief review of these measures,...

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Autores principales: Canosa, Norma Beatriz, Ciliberti, Leonardo Francisco, Rossignoli, Raúl Dante
Formato: Articulo
Lenguaje:Inglés
Publicado: 2015
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/125369
https://www.mdpi.com/1099-4300/17/4/1634
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id I19-R120-10915-125369
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Quantum correlations
Entropic measures
Quantum discord
Information deficit
Spin systems
spellingShingle Física
Quantum correlations
Entropic measures
Quantum discord
Information deficit
Spin systems
Canosa, Norma Beatriz
Ciliberti, Leonardo Francisco
Rossignoli, Raúl Dante
Quantum Discord and Information Deficit in Spin Chains
topic_facet Física
Quantum correlations
Entropic measures
Quantum discord
Information deficit
Spin systems
description We examine the behavior of quantum correlations of spin pairs in a finite anisotropic XY spin chain immersed in a transverse magnetic field, through the analysis of the quantum discord and the conventional and quadratic one-way information deficits. We first provide a brief review of these measures, showing that the last ones can be obtained as particular cases of a generalized information deficit based on general entropic forms. All of these measures coincide with an entanglement entropy in the case of pure states, but can be non-zero in separable mixed states, vanishing just for classically correlated states. It is then shown that their behavior in the exact ground state of the chain exhibits similar features, deviating significantly from that of the pair entanglement below the critical field. In contrast with entanglement, they reach full range in this region, becoming independent of the pair separation and coupling range in the immediate vicinity of the factorizing field. It is also shown, however, that significant differences between the quantum discord and the information deficits arise in the local minimizing measurement that defines them. Both analytical and numerical results are provided.
format Articulo
Articulo
author Canosa, Norma Beatriz
Ciliberti, Leonardo Francisco
Rossignoli, Raúl Dante
author_facet Canosa, Norma Beatriz
Ciliberti, Leonardo Francisco
Rossignoli, Raúl Dante
author_sort Canosa, Norma Beatriz
title Quantum Discord and Information Deficit in Spin Chains
title_short Quantum Discord and Information Deficit in Spin Chains
title_full Quantum Discord and Information Deficit in Spin Chains
title_fullStr Quantum Discord and Information Deficit in Spin Chains
title_full_unstemmed Quantum Discord and Information Deficit in Spin Chains
title_sort quantum discord and information deficit in spin chains
publishDate 2015
url http://sedici.unlp.edu.ar/handle/10915/125369
https://www.mdpi.com/1099-4300/17/4/1634
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AT cilibertileonardofrancisco quantumdiscordandinformationdeficitinspinchains
AT rossignolirauldante quantumdiscordandinformationdeficitinspinchains
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