Non-Deterministic Semantics for Quantum States

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 particul...

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Detalles Bibliográficos
Autores principales: Jorge, Juan Pablo, Holik, Federico Hernán
Formato: Articulo
Lenguaje:Inglés
Publicado: 2020
Materias:
Física
Quantum states
Non-deterministic semantics
Truth functionality
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/119666
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-119666
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Quantum states
Non-deterministic semantics
Truth functionality
spellingShingle Física
Quantum states
Non-deterministic semantics
Truth functionality
Jorge, Juan Pablo
Holik, Federico Hernán
Non-Deterministic Semantics for Quantum States
topic_facet Física
Quantum states
Non-deterministic semantics
Truth functionality
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.
format Articulo
Articulo
author Jorge, Juan Pablo
Holik, Federico Hernán
author_facet Jorge, Juan Pablo
Holik, Federico Hernán
author_sort Jorge, Juan Pablo
title Non-Deterministic Semantics for Quantum States
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
publishDate 2020
url http://sedici.unlp.edu.ar/handle/10915/119666
work_keys_str_mv AT jorgejuanpablo nondeterministicsemanticsforquantumstates
AT holikfedericohernan nondeterministicsemanticsforquantumstates
bdutipo_str Repositorios
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