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Kochen-Specker sets in four-dimensional spaces

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arxiv 1905.09443 v3 pith:DD72T7OG submitted 2019-05-23 math.CO quant-ph

Brandon Elford , Petr Lisonek This is my paper · ORCID
classification math.COquant-ph
keywords kochen-speckersetsanalyticalbeencomescomputercomputer-freeconstruct
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For the first time we construct an infinite family of Kochen-Specker sets in a space of fixed dimension, namely in R^4. While most of the previous constructions of Kochen-Specker sets have been based on computer search, our construction is analytical and it comes with a short, computer-free proof.

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Cited by 1 Pith paper

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  1. Quantum Contextual Hypergraphs, Operators, Inequalities, and Applications in Higher Dimensions

    quant-ph 2025-01 reject novelty 6.0 of 10

    The paper claims to generate contextual hypergraphs in arbitrary dimensions, to correct a standard contextuality inequality, and to offer new quantum communication protocols.

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