Geometric approach to extend Landau-Pollak uncertainty relations for positive operator-valued measures

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We provide a twofold extension of Landau-Pollak uncertainty relations for mixed quantum states and for positive operator-valued measures, by recourse to geometric considerations. The generalization is based on metrics between pure states, having the form of a function of the square of the inner prod...

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Autores principales: Bosyk, Gustavo Martín, Zozor, Steeve, Portesi, Mariela Adelina, Osán, Tristán Martín, Lamberti, Pedro Walter
Formato: article
Lenguaje:Inglés
Publicado: 2022
Materias:
Landau–Pollak inequality
Uncertainty relations
Metrics
Mixed states
POVM
Acceso en línea:http://hdl.handle.net/11086/28333
https://doi.org/10.48550/arXiv.1406.3537
Aporte de:
Repositorio Digital Universitario (UNC) de Universidad Nacional de Córdoba
id I10-R141-11086-28333
record_format dspace
institution Universidad Nacional de Córdoba
institution_str I-10
repository_str R-141
collection Repositorio Digital Universitario (UNC)
language Inglés
topic Landau–Pollak inequality
Uncertainty relations
Metrics
Mixed states
POVM
spellingShingle Landau–Pollak inequality
Uncertainty relations
Metrics
Mixed states
POVM
Bosyk, Gustavo Martín
Zozor, Steeve
Portesi, Mariela Adelina
Osán, Tristán Martín
Lamberti, Pedro Walter
Geometric approach to extend Landau-Pollak uncertainty relations for positive operator-valued measures
topic_facet Landau–Pollak inequality
Uncertainty relations
Metrics
Mixed states
POVM
description We provide a twofold extension of Landau-Pollak uncertainty relations for mixed quantum states and for positive operator-valued measures, by recourse to geometric considerations. The generalization is based on metrics between pure states, having the form of a function of the square of the inner product between the states. The triangle inequality satisfied by such metrics plays a crucial role in our derivation. The usual Landau-Pollak inequality is thus a particular case (derived from Wootters metric) of the family of inequalities obtained, and, moreover, we show that it is the most restrictive relation within the family.
format article
author Bosyk, Gustavo Martín
Zozor, Steeve
Portesi, Mariela Adelina
Osán, Tristán Martín
Lamberti, Pedro Walter
author_facet Bosyk, Gustavo Martín
Zozor, Steeve
Portesi, Mariela Adelina
Osán, Tristán Martín
Lamberti, Pedro Walter
author_sort Bosyk, Gustavo Martín
title Geometric approach to extend Landau-Pollak uncertainty relations for positive operator-valued measures
title_short Geometric approach to extend Landau-Pollak uncertainty relations for positive operator-valued measures
title_full Geometric approach to extend Landau-Pollak uncertainty relations for positive operator-valued measures
title_fullStr Geometric approach to extend Landau-Pollak uncertainty relations for positive operator-valued measures
title_full_unstemmed Geometric approach to extend Landau-Pollak uncertainty relations for positive operator-valued measures
title_sort geometric approach to extend landau-pollak uncertainty relations for positive operator-valued measures
publishDate 2022
url http://hdl.handle.net/11086/28333
https://doi.org/10.48550/arXiv.1406.3537
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AT osantristanmartin geometricapproachtoextendlandaupollakuncertaintyrelationsforpositiveoperatorvaluedmeasures
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