Non-deterministic Semantics for Quantum States

Autores
Jorge, Juan Pablo; Holik, Federico Hernán
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this work, we discuss the failure of the principle of truth functionality in the quantum formalism. By exploiting this failure, we import the formalism of N-matrix theory and non-deterministic semantics to the foundations of quantum mechanics. This is done by describing quantum states as particular valuations associated with infinite non-deterministic truth tables. This allows us to introduce a natural interpretation of quantum states in terms of a non-deterministic semantics. We also provide a similar construction for arbitrary probabilistic theories based in orthomodular lattices, allowing to study post-quantum models using logical techniques.
Fil: Jorge, Juan Pablo. Universidad de Buenos Aires; Argentina
Fil: Holik, Federico Hernán. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
Materia
QUANTUM STATES
NON-DETERMINISTIC SEMANTICS
KOCHEN-SPECKER THEOREM
TRUTH FUNCTIONALITY
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:11336/143472
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/143472
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Non-deterministic Semantics for Quantum StatesJorge, Juan PabloHolik, Federico HernánQUANTUM STATESNON-DETERMINISTIC SEMANTICSKOCHEN-SPECKER THEOREMTRUTH FUNCTIONALITYhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1In this work, we discuss the failure of the principle of truth functionality in the quantum formalism. By exploiting this failure, we import the formalism of N-matrix theory and non-deterministic semantics to the foundations of quantum mechanics. This is done by describing quantum states as particular valuations associated with infinite non-deterministic truth tables. This allows us to introduce a natural interpretation of quantum states in terms of a non-deterministic semantics. We also provide a similar construction for arbitrary probabilistic theories based in orthomodular lattices, allowing to study post-quantum models using logical techniques.Fil: Jorge, Juan Pablo. Universidad de Buenos Aires; ArgentinaFil: Holik, Federico Hernán. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; ArgentinaMultidisciplinary Digital Publishing Institute2020-01-28info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/143472Jorge, Juan Pablo; Holik, Federico Hernán; Non-deterministic Semantics for Quantum States; Multidisciplinary Digital Publishing Institute; Entropy; 22; 2; 28-1-2020; 1-261099-4300CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/1099-4300/22/2/156info:eu-repo/semantics/altIdentifier/doi/10.3390/e22020156info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:46:56Zoai:ri.conicet.gov.ar:11336/143472instacron: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 09:46:56.765CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Non-deterministic Semantics for Quantum States
title Non-deterministic Semantics for Quantum States
spellingShingle Non-deterministic Semantics for Quantum States
Jorge, Juan Pablo
QUANTUM STATES
NON-DETERMINISTIC SEMANTICS
KOCHEN-SPECKER THEOREM
TRUTH FUNCTIONALITY
title_short Non-deterministic Semantics for Quantum States
title_full Non-deterministic Semantics for Quantum States
title_fullStr Non-deterministic Semantics for Quantum States
title_full_unstemmed Non-deterministic Semantics for Quantum States
title_sort Non-deterministic Semantics for Quantum States
dc.creator.none.fl_str_mv Jorge, Juan Pablo
Holik, Federico Hernán
author Jorge, Juan Pablo
author_facet Jorge, Juan Pablo
Holik, Federico Hernán
author_role author
author2 Holik, Federico Hernán
author2_role author
dc.subject.none.fl_str_mv QUANTUM STATES
NON-DETERMINISTIC SEMANTICS
KOCHEN-SPECKER THEOREM
TRUTH FUNCTIONALITY
topic QUANTUM STATES
NON-DETERMINISTIC SEMANTICS
KOCHEN-SPECKER THEOREM
TRUTH FUNCTIONALITY
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this work, we discuss the failure of the principle of truth functionality in the quantum formalism. By exploiting this failure, we import the formalism of N-matrix theory and non-deterministic semantics to the foundations of quantum mechanics. This is done by describing quantum states as particular valuations associated with infinite non-deterministic truth tables. This allows us to introduce a natural interpretation of quantum states in terms of a non-deterministic semantics. We also provide a similar construction for arbitrary probabilistic theories based in orthomodular lattices, allowing to study post-quantum models using logical techniques.
Fil: Jorge, Juan Pablo. Universidad de Buenos Aires; Argentina
Fil: Holik, Federico Hernán. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
description In this work, we discuss the failure of the principle of truth functionality in the quantum formalism. By exploiting this failure, we import the formalism of N-matrix theory and non-deterministic semantics to the foundations of quantum mechanics. This is done by describing quantum states as particular valuations associated with infinite non-deterministic truth tables. This allows us to introduce a natural interpretation of quantum states in terms of a non-deterministic semantics. We also provide a similar construction for arbitrary probabilistic theories based in orthomodular lattices, allowing to study post-quantum models using logical techniques.
publishDate 2020
dc.date.none.fl_str_mv 2020-01-28
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/11336/143472
Jorge, Juan Pablo; Holik, Federico Hernán; Non-deterministic Semantics for Quantum States; Multidisciplinary Digital Publishing Institute; Entropy; 22; 2; 28-1-2020; 1-26
1099-4300
CONICET Digital
CONICET
url http://hdl.handle.net/11336/143472
identifier_str_mv Jorge, Juan Pablo; Holik, Federico Hernán; Non-deterministic Semantics for Quantum States; Multidisciplinary Digital Publishing Institute; Entropy; 22; 2; 28-1-2020; 1-26
1099-4300
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://www.mdpi.com/1099-4300/22/2/156
info:eu-repo/semantics/altIdentifier/doi/10.3390/e22020156
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
dc.publisher.none.fl_str_mv Multidisciplinary Digital Publishing Institute
publisher.none.fl_str_mv Multidisciplinary Digital Publishing Institute
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 12.885934

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