A Combinatorial Approach to Nonlocality and Contextuality

  title={A Combinatorial Approach to Nonlocality and Contextuality},
  author={Antonio Ac{\'i}n and Tobias Fritz and Anthony Leverrier and Ana Bel{\'e}n Sainz},
  journal={Communications in Mathematical Physics},
AbstractSo far, most of the literature on (quantum) contextuality and the Kochen–Specker theorem seems either to concern particular examples of contextuality, or be considered as quantum logic. Here, we develop a general formalism for contextuality scenarios based on the combinatorics of hypergraphs, which significantly refines a similar recent approach by Cabello, Severini and Winter (CSW). In contrast to CSW, we explicitly include the normalization of probabilities, which gives us a much… 

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