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Non-deterministic semantics for quantum states

Juan Pablo, Jorge and Holik, Federico (2020) Non-deterministic semantics for quantum states. Entropy. ISSN 1099-4300

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Abstract

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.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Juan Pablo, Jorgejorgejpablo@gmail.com
Holik, Federicoolentiev2@gmail.com0000-0002-6776-5281
Keywords: Kochen-Specker thoerem; quantum states; non-deterministic semantics; truth functionality
Subjects: Specific Sciences > Physics > Quantum Mechanics
Depositing User: Dr. Federico Holik
Date Deposited: 31 Jan 2020 04:48
Last Modified: 31 Jan 2020 04:48
Item ID: 16867
Journal or Publication Title: Entropy
Publisher: MDPI
Official URL: https://www.mdpi.com/1099-4300/22/2/156
DOI or Unique Handle: https://doi.org/10.3390/e22020156
Subjects: Specific Sciences > Physics > Quantum Mechanics
Date: 27 January 2020
ISSN: 1099-4300
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/16867

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