Conditional states and entropy in qudit-qubit systems

Autores
Bilkis, Matías; Canosa, Norma Beatriz; Rossignoli, Raúl Dante; Gigena, Nicolás
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.
Materia
Ciencias Físicas
Qudit-qubit systems
Quantum correlations
Remote control
Quantum conditional entropy
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
CIC Digital (CICBA)
Institución
Comisión de Investigaciones Científicas de la Provincia de Buenos Aires
OAI Identificador
oai:digital.cic.gba.gob.ar:11746/10918

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oai_identifier_str oai:digital.cic.gba.gob.ar:11746/10918
network_acronym_str CICBA
repository_id_str 9441
network_name_str CIC Digital (CICBA)
spelling Conditional states and entropy in qudit-qubit systemsBilkis, MatíasCanosa, Norma BeatrizRossignoli, Raúl DanteGigena, NicolásCiencias FísicasQudit-qubit systemsQuantum correlationsRemote controlQuantum conditional entropyWe 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.2019-06-25info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttps://digital.cic.gba.gob.ar/handle/11746/10918enginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.99.062119info:eu-repo/semantics/altIdentifier/issn/2469-9934info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/reponame:CIC Digital (CICBA)instname:Comisión de Investigaciones Científicas de la Provincia de Buenos Airesinstacron:CICBA2025-09-04T09:43:00Zoai:digital.cic.gba.gob.ar:11746/10918Institucionalhttp://digital.cic.gba.gob.arOrganismo científico-tecnológicoNo correspondehttp://digital.cic.gba.gob.ar/oai/snrdmarisa.degiusti@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:94412025-09-04 09:43:00.824CIC Digital (CICBA) - Comisión de Investigaciones Científicas de la Provincia de Buenos Airesfalse
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
Ciencias Físicas
Qudit-qubit systems
Quantum correlations
Remote control
Quantum conditional entropy
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
author Bilkis, Matías
author_facet Bilkis, Matías
Canosa, Norma Beatriz
Rossignoli, Raúl Dante
Gigena, Nicolás
author_role author
author2 Canosa, Norma Beatriz
Rossignoli, Raúl Dante
Gigena, Nicolás
author2_role author
author
author
dc.subject.none.fl_str_mv Ciencias Físicas
Qudit-qubit systems
Quantum correlations
Remote control
Quantum conditional entropy
topic Ciencias Físicas
Qudit-qubit systems
Quantum correlations
Remote control
Quantum conditional entropy
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.
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
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://digital.cic.gba.gob.ar/handle/11746/10918
url https://digital.cic.gba.gob.ar/handle/11746/10918
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevA.99.062119
info:eu-repo/semantics/altIdentifier/issn/2469-9934
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:CIC Digital (CICBA)
instname:Comisión de Investigaciones Científicas de la Provincia de Buenos Aires
instacron:CICBA
reponame_str CIC Digital (CICBA)
collection CIC Digital (CICBA)
instname_str Comisión de Investigaciones Científicas de la Provincia de Buenos Aires
instacron_str CICBA
institution CICBA
repository.name.fl_str_mv CIC Digital (CICBA) - Comisión de Investigaciones Científicas de la Provincia de Buenos Aires
repository.mail.fl_str_mv marisa.degiusti@sedici.unlp.edu.ar
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