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arXiv · 1912.11412

Contextuality and Expressivity of Non-locality

Sacha Huriot-Tattegrain·Mehdi Mhalla
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Abstract

Contextuality is often referred to as a generalization of non-locality. In this work, using the hypergraph approach for contextuality we show how to associate a contextual scenario to a general k-partite non local game, and consider the reverse direction: how and when is it possible to represent a general contextuality scenario as a non local game. Using the notion of conditional contextuality, we show that it is possible to embed any contextual scenario in a two players non local game. We also discuss different equivalences of contextuality scenarios and show that the construction used in the proof is not optimal by giving a simpler bipartite non local game when the contextual scenario is a graph instead of a general hypergraph.

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Sacha Huriot-Tattegrain, Mehdi Mhalla. 2021-09-06. Contextuality and Expressivity of Non-locality. https://doi.org/10.4204/eptcs.340.8

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