Contextuality and Informational Redundancy

Author:

Dzhafarov Ehtibar N.ORCID,Kujala Janne V.

Abstract

A noncontextual system of random variables may become contextual if one adds to it a set of new variables, even if each of them is obtained by the same context-wise function of the old variables. This fact follows from the definition of contextuality, and its demonstration is trivial for inconsistently connected systems (i.e., systems with disturbance). However, it also holds for consistently connected (and even strongly consistently connected) systems, provided one acknowledges that if a given property was not measured in a given context, this information can be used in defining functions among the random variables. Moreover, every inconsistently connected system can be presented as a (strongly) consistently connected system with essentially the same contextuality characteristics.

Funder

FQXi

Publisher

MDPI AG

Subject

General Physics and Astronomy

Reference10 articles.

1. Contextuality in canonical systems of random variables;Dzhafarov;Philos. Trans. R. Soc. A,2017

2. Contextuality and noncontextuality measures and generalized Bell inequalities for cyclic systems;Dzhafarov;Phys. Rev. A,2020

3. Tezzin, A., Jones, M., Wolfe, E., and Amaral, B. (2022, November 21). Theorem for Extending Contextuality to Disturbing Systems. Abstract for QCQMB Workshop. Available online: http://www.psych.purdue.edu/~ehtibar/QCQMB2022/files/0AbstractsQCQMB2022.pdf.

4. Dzhafarov, E.N. (2017). Quantum Foundations, Probability and Information, Springer.

5. Condition for macroscopic realism beyond the Leggett-Garg inequalities;Kofler;Phys. Rev. A,2013

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Hidden variables, free choice, context-independence and all that;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2024-01-29

2. Contextuality with Disturbance and without: Neither Can Violate Substantive Requirements the Other Satisfies;Entropy;2023-03-28

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