Natural metric for quantum information theory

We study in detail a very natural metric for quantum states. This new proposal has two basic ingredients: entropy and purification. The metric for two mixed states is defined as the square root of the entropy of the average of representative purifications of those states. Some basic properties are a...

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Detalles Bibliográficos
Autores principales: Lamberti, Pedro W., Portesi, Mariela Adelina, Sparacino, J.
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2009
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/130626
Aporte de:
id I19-R120-10915-130626
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 information theory
Entanglement measures, witnesses, and other characterizations
State reconstruction, quantum tomography
spellingShingle Física
Quantum information theory
Entanglement measures, witnesses, and other characterizations
State reconstruction, quantum tomography
Lamberti, Pedro W.
Portesi, Mariela Adelina
Sparacino, J.
Natural metric for quantum information theory
topic_facet Física
Quantum information theory
Entanglement measures, witnesses, and other characterizations
State reconstruction, quantum tomography
description We study in detail a very natural metric for quantum states. This new proposal has two basic ingredients: entropy and purification. The metric for two mixed states is defined as the square root of the entropy of the average of representative purifications of those states. Some basic properties are analyzed and its relation to other distances is investigated. As an illustrative application, the proposed metric is evaluated for one-qubit mixed states.
format Articulo
Preprint
author Lamberti, Pedro W.
Portesi, Mariela Adelina
Sparacino, J.
author_facet Lamberti, Pedro W.
Portesi, Mariela Adelina
Sparacino, J.
author_sort Lamberti, Pedro W.
title Natural metric for quantum information theory
title_short Natural metric for quantum information theory
title_full Natural metric for quantum information theory
title_fullStr Natural metric for quantum information theory
title_full_unstemmed Natural metric for quantum information theory
title_sort natural metric for quantum information theory
publishDate 2009
url http://sedici.unlp.edu.ar/handle/10915/130626
work_keys_str_mv AT lambertipedrow naturalmetricforquantuminformationtheory
AT portesimarielaadelina naturalmetricforquantuminformationtheory
AT sparacinoj naturalmetricforquantuminformationtheory
bdutipo_str Repositorios
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