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Quantum Foundations
On the rank of two-dimensional simplicial distributions
arXiv
Authors: Cihan Okay
Year
2023
Paper ID
53071
Status
Preprint
Abstract Read
~2 min
Abstract Words
50
Citations
N/A
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.
Why This Paper Matters
- This paper contributes to the Quantum Machine Learning research area in the Quantum Articles archive.
- It adds a 2023 reference point for readers tracking recent quantum research.
- Simplicial distributions provide a framework for studying quantum contextuality, a generalization of Bell's non-locality.
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