On the rank of two-dimensional simplicial distributions

Cihan Okay

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arXiv · 2312.15794

On the rank of two-dimensional simplicial distributions

Cihan Okay

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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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Cihan Okay. 2023-12-25. On the rank of two-dimensional simplicial distributions. https://arxiv.org/abs/2312.15794

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