Sacha Huriot-Tattegrain (ENS-Paris Saclay France) |
Mehdi Mhalla (Univ. Grenoble Alpes, CNRS, Grenoble INP, LIG, F-38000 Grenoble Franc) |
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. |
ArXived at: https://dx.doi.org/10.4204/EPTCS.340.8 | bibtex | |
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