Contextuality and Kochen-Specker colorings of integer vectors
This note exhibits a new set of 85 three-dimensional integer vectors that has no Kochen-Specker coloring. These vectors represent rank-1 projection matrices with entries in the rational subring $\mathbb{Z}[1/462]$. Consequences are given for (non)contextuality in a purely algebraic sense for partial...
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| Zusammenfassung: | This note exhibits a new set of 85 three-dimensional integer vectors that has
no Kochen-Specker coloring. These vectors represent rank-1 projection matrices
with entries in the rational subring $\mathbb{Z}[1/462]$. Consequences are
given for (non)contextuality in a purely algebraic sense for partial rings of
symmetric matrices over finitely generated rational subrings and $p$-adic
integers. |
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| DOI: | 10.48550/arxiv.2211.13216 |