Quantum Information and the Representation Theory of the Symmetric Group

A number of important results in quantum information theory can be connected quite elegantly to the representation theory of the symmetric group through a quantum analogue of the classical information-theoretic "method of types" that arises naturally from the Schur-Weyl duality. We will gi...

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Autores:
Botero, Alonso
Tipo de recurso:
Article of journal
Fecha de publicación:
2016
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/66447
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/66447
http://bdigital.unal.edu.co/67475/
Palabra clave:
51 Matemáticas / Mathematics
Representation Theory
Quantum Information Theory
Schur-Weyl duality
Quantum Shannon theorem
Entanglement concentration
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Botero, Alonso22b7a22e-66de-4d11-b0b6-39c685ead3283002019-07-03T02:08:43Z2019-07-03T02:08:43Z2016-07-01ISSN: 2357-4100https://repositorio.unal.edu.co/handle/unal/66447http://bdigital.unal.edu.co/67475/A number of important results in quantum information theory can be connected quite elegantly to the representation theory of the symmetric group through a quantum analogue of the classical information-theoretic "method of types" that arises naturally from the Schur-Weyl duality. We will give a brief introduction to this connection and brie y discuss some of the results that follow from it, such as quantum source compression rates, entanglement concentration rates, quantum entropy inequalities, and the admissisble spectra of partial density matrices from pure, multipartite entangled states.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticashttps://revistas.unal.edu.co/index.php/recolma/article/view/62210Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasBotero, Alonso (2016) Quantum Information and the Representation Theory of the Symmetric Group. Revista Colombiana de Matemáticas, 50 (2). pp. 191-209. ISSN 2357-410051 Matemáticas / MathematicsRepresentation TheoryQuantum Information TheorySchur-Weyl dualityQuantum Shannon theoremEntanglement concentrationQuantum Information and the Representation Theory of the Symmetric GroupArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL62210-316277-1-SM.pdfapplication/pdf467186https://repositorio.unal.edu.co/bitstream/unal/66447/1/62210-316277-1-SM.pdf111eaf6091a6e6aff5fa2022c71691fcMD51THUMBNAIL62210-316277-1-SM.pdf.jpg62210-316277-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg5013https://repositorio.unal.edu.co/bitstream/unal/66447/2/62210-316277-1-SM.pdf.jpg6e5c8b75101e1f1d195f1ae114fa9d4eMD52unal/66447oai:repositorio.unal.edu.co:unal/664472023-05-25 23:02:44.546Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Quantum Information and the Representation Theory of the Symmetric Group
title Quantum Information and the Representation Theory of the Symmetric Group
spellingShingle Quantum Information and the Representation Theory of the Symmetric Group
51 Matemáticas / Mathematics
Representation Theory
Quantum Information Theory
Schur-Weyl duality
Quantum Shannon theorem
Entanglement concentration
title_short Quantum Information and the Representation Theory of the Symmetric Group
title_full Quantum Information and the Representation Theory of the Symmetric Group
title_fullStr Quantum Information and the Representation Theory of the Symmetric Group
title_full_unstemmed Quantum Information and the Representation Theory of the Symmetric Group
title_sort Quantum Information and the Representation Theory of the Symmetric Group
dc.creator.fl_str_mv Botero, Alonso
dc.contributor.author.spa.fl_str_mv Botero, Alonso
dc.subject.ddc.spa.fl_str_mv 51 Matemáticas / Mathematics
topic 51 Matemáticas / Mathematics
Representation Theory
Quantum Information Theory
Schur-Weyl duality
Quantum Shannon theorem
Entanglement concentration
dc.subject.proposal.spa.fl_str_mv Representation Theory
Quantum Information Theory
Schur-Weyl duality
Quantum Shannon theorem
Entanglement concentration
description A number of important results in quantum information theory can be connected quite elegantly to the representation theory of the symmetric group through a quantum analogue of the classical information-theoretic "method of types" that arises naturally from the Schur-Weyl duality. We will give a brief introduction to this connection and brie y discuss some of the results that follow from it, such as quantum source compression rates, entanglement concentration rates, quantum entropy inequalities, and the admissisble spectra of partial density matrices from pure, multipartite entangled states.
publishDate 2016
dc.date.issued.spa.fl_str_mv 2016-07-01
dc.date.accessioned.spa.fl_str_mv 2019-07-03T02:08:43Z
dc.date.available.spa.fl_str_mv 2019-07-03T02:08:43Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.issn.spa.fl_str_mv ISSN: 2357-4100
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/66447
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identifier_str_mv ISSN: 2357-4100
url https://repositorio.unal.edu.co/handle/unal/66447
http://bdigital.unal.edu.co/67475/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv https://revistas.unal.edu.co/index.php/recolma/article/view/62210
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.references.spa.fl_str_mv Botero, Alonso (2016) Quantum Information and the Representation Theory of the Symmetric Group. Revista Colombiana de Matemáticas, 50 (2). pp. 191-209. ISSN 2357-4100
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
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dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
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dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas - Sociedad Colombiana de Matemáticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/66447/1/62210-316277-1-SM.pdf
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