For a connected measurement space X, the non-signaling polytope of the cone scenario is the join of m copies of the original polytope, and the suspension scenario is characterized by a pullback of two such joins.
On the rank of two-dimensional simplicial distributions
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abstract
Simplicial distributions provide a framework for studying quantum contextuality, a generalization of Bell's non-locality. Understanding extremal simplicial distributions is of fundamental importance with applications to quantum computing. We introduce a rank formula for twisted simplicial distributions defined for $2$-dimensional measurement spaces and provide a systematic approach for describing extremal distributions.
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The geometry of simplicial distributions on suspension scenarios
For a connected measurement space X, the non-signaling polytope of the cone scenario is the join of m copies of the original polytope, and the suspension scenario is characterized by a pullback of two such joins.