On Contextuality as a Feature of Logic and Probability Theory

Abstract:In quantum mechanics, not everything that can be observed can be observed simultaneously. Observational data exhibits \emph{contextuality} -- a generalisation of nonlocality -- if the result of an observation is necessarily dependent on which combination of observables was measured. This article gives a mathematical introduction to contextuality, emphasising its nature as a general feature of probability theory and logic, rather than of any particular quantum theory.

Quantum Physics (quant-ph); Logic (math.LO); Probability (math.PR)

arXiv:2603.11857 [quant-ph]

(or arXiv:2603.11857v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2603.11857 Focus to learn more arXiv-issued DOI via DataCite

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