Effect of fluctuation measures on the uncertainty relations between two observables: different measures lead to opposite conclusions

We show within a very simple framework that different measures of fluctuations lead to uncertainty relations resulting in contradictory conclusions. More specifically we focus on Tsallis and Renyi entropic uncertainty relations and we get that the minimum joint uncertainty states for some fluctuatio...

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Detalles Bibliográficos
Autor: Luis Aina, Alfredo
Tipo de recurso: artículo
Fecha de publicación:2011
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/44598
Acceso en línea:https://hdl.handle.net/20.500.14352/44598
Access Level:acceso abierto
Palabra clave:535
Entropic uncertainty
Quantum measurements
Phase measurement
Complementary observables
Optical-phase
Information
Mechanics
Principle
Standard
Angle
Óptica (Física)
2209.19 Óptica Física
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oai_identifier_str oai:docta.ucm.es:20.500.14352/44598
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repository_id_str
spelling Effect of fluctuation measures on the uncertainty relations between two observables: different measures lead to opposite conclusionsLuis Aina, Alfredo535Entropic uncertaintyQuantum measurementsPhase measurementComplementary observablesOptical-phaseInformationMechanicsPrincipleStandardAngleÓptica (Física)2209.19 Óptica FísicaWe show within a very simple framework that different measures of fluctuations lead to uncertainty relations resulting in contradictory conclusions. More specifically we focus on Tsallis and Renyi entropic uncertainty relations and we get that the minimum joint uncertainty states for some fluctuation measures are the maximum joint uncertainty states of other fluctuation measures, and vice versa.American Physical SocietyUniversidad Complutense de Madrid20112011-09-1420112011-09-14journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/44598reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/445982026-06-02T12:44:21Z
dc.title.none.fl_str_mv Effect of fluctuation measures on the uncertainty relations between two observables: different measures lead to opposite conclusions
title Effect of fluctuation measures on the uncertainty relations between two observables: different measures lead to opposite conclusions
spellingShingle Effect of fluctuation measures on the uncertainty relations between two observables: different measures lead to opposite conclusions
Luis Aina, Alfredo
535
Entropic uncertainty
Quantum measurements
Phase measurement
Complementary observables
Optical-phase
Information
Mechanics
Principle
Standard
Angle
Óptica (Física)
2209.19 Óptica Física
title_short Effect of fluctuation measures on the uncertainty relations between two observables: different measures lead to opposite conclusions
title_full Effect of fluctuation measures on the uncertainty relations between two observables: different measures lead to opposite conclusions
title_fullStr Effect of fluctuation measures on the uncertainty relations between two observables: different measures lead to opposite conclusions
title_full_unstemmed Effect of fluctuation measures on the uncertainty relations between two observables: different measures lead to opposite conclusions
title_sort Effect of fluctuation measures on the uncertainty relations between two observables: different measures lead to opposite conclusions
dc.creator.none.fl_str_mv Luis Aina, Alfredo
author Luis Aina, Alfredo
author_facet Luis Aina, Alfredo
author_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 535
Entropic uncertainty
Quantum measurements
Phase measurement
Complementary observables
Optical-phase
Information
Mechanics
Principle
Standard
Angle
Óptica (Física)
2209.19 Óptica Física
topic 535
Entropic uncertainty
Quantum measurements
Phase measurement
Complementary observables
Optical-phase
Information
Mechanics
Principle
Standard
Angle
Óptica (Física)
2209.19 Óptica Física
description We show within a very simple framework that different measures of fluctuations lead to uncertainty relations resulting in contradictory conclusions. More specifically we focus on Tsallis and Renyi entropic uncertainty relations and we get that the minimum joint uncertainty states for some fluctuation measures are the maximum joint uncertainty states of other fluctuation measures, and vice versa.
publishDate 2011
dc.date.none.fl_str_mv 2011
2011-09-14
2011
2011-09-14
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/44598
url https://hdl.handle.net/20.500.14352/44598
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869412380467789824
score 15,300719

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