REVIEW 1 cited by
Noncontextual coloring of orthogonality hypergraphs
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Noncontextual coloring of orthogonality hypergraphs
read the original abstract
We discuss representations and colorings of orthogonality hypergraphs in terms of their two-valued states interpretable as classical truth assignments. Such hypergraphs, if they allow for a faithful orthogonal representation, have quantum mechanical realizations in terms of intertwined contexts or maximal observables that are widely discussed as empirically testable criteria for contextuality. Reconstruction is possible for the class of perfectly separable hypergraphs. Colorings can be constructed from a minimal set of two-valued states. Some examples from exempt categories are presented that either cannot be reconstructed by two-valued states or whose two-valued states cannot yield a chromatic number that is equal to the maximal clique number.
Forward citations
Cited by 1 Pith paper
-
Chromatic Completeness and the Independence of Geometric Obstruction
Strong chromatic number exceeding dimension blocks only chromatic completeness, not faithful orthogonal ray representations; completed Yu–Oh has χ=4 with an R³ FOR while Greechie G₃₂ has χ=4 with none in C³.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.