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
- Institución
- Comisión de Investigaciones Científicas de la Provincia de Buenos Aires
- OAI Identificador
- oai:digital.cic.gba.gob.ar:11746/10918
Ver los metadatos del registro completo
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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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score |
12.623145 |