Barbosa, RS; Karvonen, M; Mansfield, S; (2023) Closing Bell Boxing Black Box Simulations in the Resource Theory of Contextuality. In: Palmigiano, Alessandra and Sadrzadeh, Mehrnoosh, (eds.) Samson Abramsky on Logic and Structure in Computer Science and Beyond. (pp. 475-529). Springer Nature: Cham, Switzerland.

Text Barbosa, Karvonen & Mansfield - Closing Bell.pdf - Accepted Version Access restricted to UCL open access staff until 3 August 2025. Download (1MB)

Abstract

This chapter contains an exposition of the sheaf-theoretic framework for contextuality emphasising resource-theoretic aspects, as well as some original results on this topic. In particular, we consider functions that transform empirical models on a scenario S to empirical models on another scenario T, and characterise those that are induced by classical procedures between S and T corresponding to ‘free’ operations in the (non-adaptive) resource theory of contextuality. We proceed by expressing such functions as empirical models themselves, on a new scenario built from S and T. Our characterisation then boils down to the non-contextuality of these models. We also show that this construction on scenarios provides a closed structure in the category of measurement scenarios.

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