Collision entropy and optimal uncertainty

Autores
Bosyk, Gustavo Martín; Portesi, Mariela Adelina; Plastino, Ángel Luis
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We propose an alternative measure of quantum uncertainty for pairs of arbitrary observables in the two-dimensional case, in terms of collision entropies. We derive the optimal lower bound for this entropic uncertainty relation, which results in an analytic function of the overlap of the corresponding eigenbases. Besides, we obtain the minimum uncertainty states. We compare our relation with other formulations of the uncertainty principle.
Instituto de Física La Plata
Materia
Física
Ciencias Exactas
quantum uncertainty
collision entropies
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/125997
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/125997
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Collision entropy and optimal uncertaintyBosyk, Gustavo MartínPortesi, Mariela AdelinaPlastino, Ángel LuisFísicaCiencias Exactasquantum uncertaintycollision entropiesWe propose an alternative measure of quantum uncertainty for pairs of arbitrary observables in the two-dimensional case, in terms of collision entropies. We derive the optimal lower bound for this entropic uncertainty relation, which results in an analytic function of the overlap of the corresponding eigenbases. Besides, we obtain the minimum uncertainty states. We compare our relation with other formulations of the uncertainty principle.Instituto de Física La Plata2012-01-23info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/125997enginfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pra/abstract/10.1103/PhysRevA.85.012108info:eu-repo/semantics/altIdentifier/issn/1050-2947info:eu-repo/semantics/altIdentifier/issn/1094-1622info:eu-repo/semantics/altIdentifier/arxiv/1112.5903info:eu-repo/semantics/altIdentifier/doi/10.1103/physreva.85.012108info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:30:13Zoai:sedici.unlp.edu.ar:10915/125997Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:30:14.22SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Collision entropy and optimal uncertainty
title Collision entropy and optimal uncertainty
spellingShingle Collision entropy and optimal uncertainty
Bosyk, Gustavo Martín
Física
Ciencias Exactas
quantum uncertainty
collision entropies
title_short Collision entropy and optimal uncertainty
title_full Collision entropy and optimal uncertainty
title_fullStr Collision entropy and optimal uncertainty
title_full_unstemmed Collision entropy and optimal uncertainty
title_sort Collision entropy and optimal uncertainty
dc.creator.none.fl_str_mv Bosyk, Gustavo Martín
Portesi, Mariela Adelina
Plastino, Ángel Luis
author Bosyk, Gustavo Martín
author_facet Bosyk, Gustavo Martín
Portesi, Mariela Adelina
Plastino, Ángel Luis
author_role author
author2 Portesi, Mariela Adelina
Plastino, Ángel Luis
author2_role author
author
dc.subject.none.fl_str_mv Física
Ciencias Exactas
quantum uncertainty
collision entropies
topic Física
Ciencias Exactas
quantum uncertainty
collision entropies
dc.description.none.fl_txt_mv We propose an alternative measure of quantum uncertainty for pairs of arbitrary observables in the two-dimensional case, in terms of collision entropies. We derive the optimal lower bound for this entropic uncertainty relation, which results in an analytic function of the overlap of the corresponding eigenbases. Besides, we obtain the minimum uncertainty states. We compare our relation with other formulations of the uncertainty principle.
Instituto de Física La Plata
description We propose an alternative measure of quantum uncertainty for pairs of arbitrary observables in the two-dimensional case, in terms of collision entropies. We derive the optimal lower bound for this entropic uncertainty relation, which results in an analytic function of the overlap of the corresponding eigenbases. Besides, we obtain the minimum uncertainty states. We compare our relation with other formulations of the uncertainty principle.
publishDate 2012
dc.date.none.fl_str_mv 2012-01-23
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/125997
url http://sedici.unlp.edu.ar/handle/10915/125997
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pra/abstract/10.1103/PhysRevA.85.012108
info:eu-repo/semantics/altIdentifier/issn/1050-2947
info:eu-repo/semantics/altIdentifier/issn/1094-1622
info:eu-repo/semantics/altIdentifier/arxiv/1112.5903
info:eu-repo/semantics/altIdentifier/doi/10.1103/physreva.85.012108
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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score 13.070432

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