Conditional states and entropy in qudit-qubit systems

Autores
Bilkis, Matías; Canosa, Norma Beatriz; Rossignoli, Raúl Dante; Gigena, Nicolás Alejandro
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We examine, in correlated mixed states of qudit-qubit systems, the set of all conditional qubit states that can be reached after local measurements at the qudit based on rank-1 projectors. While for a similar measurement at the qubit the conditional postmeasurement qudit states lie on the surface of an ellipsoid, for a measurement at the qudit we show that the set of postmeasurement qubit states can form more complex solid regions. In particular, we show the emergence, for some classes of mixed states, of sets which are the convex hull of solid ellipsoids and which may lead to conelike and trianglelike shapes in limit cases. We also analyze the associated measurement-dependent conditional entropy, providing a full analytic determination of its minimum and of the minimizing local measurement at the qudit for the previous states. Separable rank-2 mixtures are also discussed.
Instituto de Física La Plata
Materia
Física
Quantum correlations in quantum information
Quantum discord
Quantum entanglement
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:10915/144021
Acceder
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network_name_str SEDICI (UNLP)
spelling Conditional states and entropy in qudit-qubit systemsBilkis, MatíasCanosa, Norma BeatrizRossignoli, Raúl DanteGigena, Nicolás AlejandroFísicaQuantum correlations in quantum informationQuantum discordQuantum entanglementWe examine, in correlated mixed states of qudit-qubit systems, the set of all conditional qubit states that can be reached after local measurements at the qudit based on rank-1 projectors. While for a similar measurement at the qubit the conditional postmeasurement qudit states lie on the surface of an ellipsoid, for a measurement at the qudit we show that the set of postmeasurement qubit states can form more complex solid regions. In particular, we show the emergence, for some classes of mixed states, of sets which are the convex hull of solid ellipsoids and which may lead to conelike and trianglelike shapes in limit cases. We also analyze the associated measurement-dependent conditional entropy, providing a full analytic determination of its minimum and of the minimizing local measurement at the qudit for the previous states. Separable rank-2 mixtures are also discussed.Instituto de Física La Plata2019-06-25info: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/10915/144021enginfo:eu-repo/semantics/altIdentifier/issn/2469-9926info:eu-repo/semantics/altIdentifier/issn/2469-9934info:eu-repo/semantics/altIdentifier/doi/10.1103/physreva.99.062119info:eu-repo/semantics/altIdentifier/arxiv/1812.11251info: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:UNLP2025-09-03T11:04:34Zoai:sedici.unlp.edu.ar:10915/144021Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 11:04:34.516SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Conditional states and entropy in qudit-qubit systems
title Conditional states and entropy in qudit-qubit systems
spellingShingle Conditional states and entropy in qudit-qubit systems
Bilkis, Matías
Física
Quantum correlations in quantum information
Quantum discord
Quantum entanglement
title_short Conditional states and entropy in qudit-qubit systems
title_full Conditional states and entropy in qudit-qubit systems
title_fullStr Conditional states and entropy in qudit-qubit systems
title_full_unstemmed Conditional states and entropy in qudit-qubit systems
title_sort Conditional states and entropy in qudit-qubit systems
dc.creator.none.fl_str_mv Bilkis, Matías
Canosa, Norma Beatriz
Rossignoli, Raúl Dante
Gigena, Nicolás Alejandro
author Bilkis, Matías
author_facet Bilkis, Matías
Canosa, Norma Beatriz
Rossignoli, Raúl Dante
Gigena, Nicolás Alejandro
author_role author
author2 Canosa, Norma Beatriz
Rossignoli, Raúl Dante
Gigena, Nicolás Alejandro
author2_role author
author
author
dc.subject.none.fl_str_mv Física
Quantum correlations in quantum information
Quantum discord
Quantum entanglement
topic Física
Quantum correlations in quantum information
Quantum discord
Quantum entanglement
dc.description.none.fl_txt_mv We examine, in correlated mixed states of qudit-qubit systems, the set of all conditional qubit states that can be reached after local measurements at the qudit based on rank-1 projectors. While for a similar measurement at the qubit the conditional postmeasurement qudit states lie on the surface of an ellipsoid, for a measurement at the qudit we show that the set of postmeasurement qubit states can form more complex solid regions. In particular, we show the emergence, for some classes of mixed states, of sets which are the convex hull of solid ellipsoids and which may lead to conelike and trianglelike shapes in limit cases. We also analyze the associated measurement-dependent conditional entropy, providing a full analytic determination of its minimum and of the minimizing local measurement at the qudit for the previous states. Separable rank-2 mixtures are also discussed.
Instituto de Física La Plata
description We examine, in correlated mixed states of qudit-qubit systems, the set of all conditional qubit states that can be reached after local measurements at the qudit based on rank-1 projectors. While for a similar measurement at the qubit the conditional postmeasurement qudit states lie on the surface of an ellipsoid, for a measurement at the qudit we show that the set of postmeasurement qubit states can form more complex solid regions. In particular, we show the emergence, for some classes of mixed states, of sets which are the convex hull of solid ellipsoids and which may lead to conelike and trianglelike shapes in limit cases. We also analyze the associated measurement-dependent conditional entropy, providing a full analytic determination of its minimum and of the minimizing local measurement at the qudit for the previous states. Separable rank-2 mixtures are also discussed.
publishDate 2019
dc.date.none.fl_str_mv 2019-06-25
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/10915/144021
url http://sedici.unlp.edu.ar/handle/10915/144021
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/2469-9926
info:eu-repo/semantics/altIdentifier/issn/2469-9934
info:eu-repo/semantics/altIdentifier/doi/10.1103/physreva.99.062119
info:eu-repo/semantics/altIdentifier/arxiv/1812.11251
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
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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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