Reciprocity relations for quantum systems based on Fisher information

We study reciprocity relations between fluctuations of the probability distributions corresponding to position and momentum, and other observables, in quantum theory. These kinds of relations have been previously studied in terms of quantifiers based on the Lipschitz constants of the concomitant dis...

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Autores principales: Portesi, Mariela Adelina, Pujol, Juan Manuel, Holik, Federico Hernán
Formato: Articulo
Lenguaje:Inglés
Publicado: 2023
Materias:
Física
reciprocity relations
trade-off
quantum system
position and momentum probability distributions
fluctuation
Fisher information
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/160888
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-160888
record_format dspace
spelling I19-R120-10915-1608882023-11-29T20:07:26Z http://sedici.unlp.edu.ar/handle/10915/160888 Reciprocity relations for quantum systems based on Fisher information Portesi, Mariela Adelina Pujol, Juan Manuel Holik, Federico Hernán 2023 2023-11-29T16:31:39Z en Física reciprocity relations trade-off quantum system position and momentum probability distributions fluctuation Fisher information We study reciprocity relations between fluctuations of the probability distributions corresponding to position and momentum, and other observables, in quantum theory. These kinds of relations have been previously studied in terms of quantifiers based on the Lipschitz constants of the concomitant distributions. However, it turned out that they were not valid for all states. Here, we ask the following question: can those relations be described using other quantifiers? By appealing to the Fisher information, we study reciprocity relations for different families of states. In particular, we look for a connection of this problem with previous works. Instituto de Física La Plata Articulo Articulo http://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International (CC BY 4.0) application/pdf
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
reciprocity relations
trade-off
quantum system
position and momentum probability distributions
fluctuation
Fisher information
spellingShingle Física
reciprocity relations
trade-off
quantum system
position and momentum probability distributions
fluctuation
Fisher information
Portesi, Mariela Adelina
Pujol, Juan Manuel
Holik, Federico Hernán
Reciprocity relations for quantum systems based on Fisher information
topic_facet Física
reciprocity relations
trade-off
quantum system
position and momentum probability distributions
fluctuation
Fisher information
description We study reciprocity relations between fluctuations of the probability distributions corresponding to position and momentum, and other observables, in quantum theory. These kinds of relations have been previously studied in terms of quantifiers based on the Lipschitz constants of the concomitant distributions. However, it turned out that they were not valid for all states. Here, we ask the following question: can those relations be described using other quantifiers? By appealing to the Fisher information, we study reciprocity relations for different families of states. In particular, we look for a connection of this problem with previous works.
format Articulo
Articulo
author Portesi, Mariela Adelina
Pujol, Juan Manuel
Holik, Federico Hernán
author_facet Portesi, Mariela Adelina
Pujol, Juan Manuel
Holik, Federico Hernán
author_sort Portesi, Mariela Adelina
title Reciprocity relations for quantum systems based on Fisher information
title_short Reciprocity relations for quantum systems based on Fisher information
title_full Reciprocity relations for quantum systems based on Fisher information
title_fullStr Reciprocity relations for quantum systems based on Fisher information
title_full_unstemmed Reciprocity relations for quantum systems based on Fisher information
title_sort reciprocity relations for quantum systems based on fisher information
publishDate 2023
url http://sedici.unlp.edu.ar/handle/10915/160888
work_keys_str_mv AT portesimarielaadelina reciprocityrelationsforquantumsystemsbasedonfisherinformation
AT pujoljuanmanuel reciprocityrelationsforquantumsystemsbasedonfisherinformation
AT holikfedericohernan reciprocityrelationsforquantumsystemsbasedonfisherinformation
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