Entropy, Volume 25, Issue 8
August 2023 - 134 articles
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Cover Story: Let us consider a triangular hypergraph with three vertices and three hyperedges in an n-dim space, n ≥ 3. If we tried to assign 0 and 1 to vertices, so that just one vertex within each of the three hyperedges is assigned 1, we would realise that this is not possible. The hypergraph exhibits a non-Kochen–Specker (KS) contextuality. Why “non-”? Because KS hypergraphs violate the same condition, but each of their hyperedges must contain n vertices. How can we generate non-KS hypergraphs? Via a dimensional upscaling which does not scale with dimension. The minimal number of their hyperedges is ≤ 9 in up to 16-dim spaces. View this paper