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Commutativity, comeasurability, and contextuality in the Kochen-Specker arguments

Gábor, Hofer-Szabó (2020) Commutativity, comeasurability, and contextuality in the Kochen-Specker arguments. [Preprint]

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Abstract

If noncontextuality is defined as the robustness of a system's response to a measurement against other simultaneous measurements, then the Kochen-Specker arguments do not provide an algebraic proof for quantum contextuality. Namely, for the argument to be effective, (i) each operator must be uniquely associated with a measurement and (ii) commuting operators must represent simultaneous measurements. However, in all Kochen-Specker arguments discussed in the literature either (i) or (ii) is not met. Arguments meeting (i) contain at least one subset of mutually commuting operators which do not represent simultaneous measurements and hence fail to physically justify the functional composition principle. Arguments meeting (ii) associate some operators with more than one measurement and hence need to invoke an extra assumption different from noncontextuality.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Gábor, Hofer-Szabógsz@szig.hu
Keywords: commutativity, comeasurability, contextuality, Kochen-Specker argument
Subjects: Specific Sciences > Physics > Quantum Mechanics
Depositing User: Gabor Hofer-Szabo
Date Deposited: 30 Apr 2020 04:11
Last Modified: 30 Apr 2020 04:11
Item ID: 17127
Subjects: Specific Sciences > Physics > Quantum Mechanics
Date: 2020
URI: http://philsci-archive.pitt.edu/id/eprint/17127

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