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Two concepts of noncontextuality in quantum mechanics

Hofer-Szabó, Gábor (2022) Two concepts of noncontextuality in quantum mechanics. [Preprint]

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Abstract

There are two different and logically independent concepts of noncontextuality in quantum mechanics. First, an ontological (hidden variable) model for quantum mechanics is called noncontextual if every ontic (hidden) state determines the probability of the outcomes of every measurement independently of what other measurements are simultaneously performed. Second, an ontological model is noncontextual if any two measurements which are represented by the same self-adjoint operator or, equivalently, which have the same probability distribution of outcomes in every quantum state also have the same probability distribution of outcomes in every ontic state. I will call the first concept simultaneous noncontextuality, the second measurement noncontextuality. In the paper I will overview and critically analyze some of the most significant accounts of contextuality in the literature and subsume them under these two categories.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Hofer-Szabó, Gáborgsz@szig.hu
Keywords: contextuality, simultaneous measurability, Kochen-Specker theorem, operational equivalence
Subjects: General Issues > Operationalism/Instrumentalism
Specific Sciences > Physics > Quantum Mechanics
Depositing User: Gabor Hofer-Szabo
Date Deposited: 03 Mar 2022 17:50
Last Modified: 03 Mar 2022 17:50
Item ID: 20293
Subjects: General Issues > Operationalism/Instrumentalism
Specific Sciences > Physics > Quantum Mechanics
Date: 2022
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/20293

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