A topological study of contextuality and modality in quantum mechanics

Autores
Domenech, Graciela; Freytes Solari, Hector Carlos; de Ronde, Christian
Año de publicación
2008
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Kochen-Specker theorem rules out the non-contextual assignment of values to physical magnitudes. Here we enrich the usual orthomodular structure of quantum mechanical propositions with modal operators. This enlargement allows to refer consistently to actual and possible properties of the system. By means of a topological argument, more precisely in terms of the existence of sections of sheaves, we give an extended version of Kochen-Specker theorem over this new structure. This allows us to prove that contextuality remains a central feature even in the enriched propositional system.
Fil: Domenech, Graciela. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentina
Fil: Freytes Solari, Hector Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Università degli Studi di Cagliari; Italia
Fil: de Ronde, Christian. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Vrije Unviversiteit Brussel; Bélgica
Materia
Contextuality
Sheaves
Modal
Quantum Logic
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/22003
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/22003
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network_name_str CONICET Digital (CONICET)
spelling A topological study of contextuality and modality in quantum mechanicsDomenech, GracielaFreytes Solari, Hector Carlosde Ronde, ChristianContextualitySheavesModalQuantum Logichttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Kochen-Specker theorem rules out the non-contextual assignment of values to physical magnitudes. Here we enrich the usual orthomodular structure of quantum mechanical propositions with modal operators. This enlargement allows to refer consistently to actual and possible properties of the system. By means of a topological argument, more precisely in terms of the existence of sections of sheaves, we give an extended version of Kochen-Specker theorem over this new structure. This allows us to prove that contextuality remains a central feature even in the enriched propositional system.Fil: Domenech, Graciela. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; ArgentinaFil: Freytes Solari, Hector Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Università degli Studi di Cagliari; ItaliaFil: de Ronde, Christian. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Vrije Unviversiteit Brussel; BélgicaSpringer/plenum Publishers2008-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/22003Domenech, Graciela; Freytes Solari, Hector Carlos; de Ronde, Christian; A topological study of contextuality and modality in quantum mechanics; Springer/plenum Publishers; International Journal of Theoretical Physics; 47; 1; 12-2008; 168-1740020-7748CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10773-007-9595-8info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/quant-ph/0612227info:eu-repo/semantics/altIdentifier/doi/10.1007/s10773-007-9595-8info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:56:34Zoai:ri.conicet.gov.ar:11336/22003instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:56:34.394CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A topological study of contextuality and modality in quantum mechanics
title A topological study of contextuality and modality in quantum mechanics
spellingShingle A topological study of contextuality and modality in quantum mechanics
Domenech, Graciela
Contextuality
Sheaves
Modal
Quantum Logic
title_short A topological study of contextuality and modality in quantum mechanics
title_full A topological study of contextuality and modality in quantum mechanics
title_fullStr A topological study of contextuality and modality in quantum mechanics
title_full_unstemmed A topological study of contextuality and modality in quantum mechanics
title_sort A topological study of contextuality and modality in quantum mechanics
dc.creator.none.fl_str_mv Domenech, Graciela
Freytes Solari, Hector Carlos
de Ronde, Christian
author Domenech, Graciela
author_facet Domenech, Graciela
Freytes Solari, Hector Carlos
de Ronde, Christian
author_role author
author2 Freytes Solari, Hector Carlos
de Ronde, Christian
author2_role author
author
dc.subject.none.fl_str_mv Contextuality
Sheaves
Modal
Quantum Logic
topic Contextuality
Sheaves
Modal
Quantum Logic
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Kochen-Specker theorem rules out the non-contextual assignment of values to physical magnitudes. Here we enrich the usual orthomodular structure of quantum mechanical propositions with modal operators. This enlargement allows to refer consistently to actual and possible properties of the system. By means of a topological argument, more precisely in terms of the existence of sections of sheaves, we give an extended version of Kochen-Specker theorem over this new structure. This allows us to prove that contextuality remains a central feature even in the enriched propositional system.
Fil: Domenech, Graciela. Consejo Nacional de Investigaciónes Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Astronomía y Física del Espacio. - Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Astronomía y Física del Espacio; Argentina
Fil: Freytes Solari, Hector Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Università degli Studi di Cagliari; Italia
Fil: de Ronde, Christian. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Vrije Unviversiteit Brussel; Bélgica
description Kochen-Specker theorem rules out the non-contextual assignment of values to physical magnitudes. Here we enrich the usual orthomodular structure of quantum mechanical propositions with modal operators. This enlargement allows to refer consistently to actual and possible properties of the system. By means of a topological argument, more precisely in terms of the existence of sections of sheaves, we give an extended version of Kochen-Specker theorem over this new structure. This allows us to prove that contextuality remains a central feature even in the enriched propositional system.
publishDate 2008
dc.date.none.fl_str_mv 2008-12
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 http://hdl.handle.net/11336/22003
Domenech, Graciela; Freytes Solari, Hector Carlos; de Ronde, Christian; A topological study of contextuality and modality in quantum mechanics; Springer/plenum Publishers; International Journal of Theoretical Physics; 47; 1; 12-2008; 168-174
0020-7748
CONICET Digital
CONICET
url http://hdl.handle.net/11336/22003
identifier_str_mv Domenech, Graciela; Freytes Solari, Hector Carlos; de Ronde, Christian; A topological study of contextuality and modality in quantum mechanics; Springer/plenum Publishers; International Journal of Theoretical Physics; 47; 1; 12-2008; 168-174
0020-7748
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10773-007-9595-8
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/quant-ph/0612227
info:eu-repo/semantics/altIdentifier/doi/10.1007/s10773-007-9595-8
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer/plenum Publishers
publisher.none.fl_str_mv Springer/plenum Publishers
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.13397

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