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math.CO2026
Complex coordinates forced by finite orthogonality hypergraphs in dimension three
Mirko Navara, Karl Svozil
We exhibit two finite orthogonality hypergraphs that admit faithful orthogonal representations by rays in complex three-dimensional space but admit none in real three-dimensional s…
quant-ph2026
Pseudocontexts forced by finite context hypergraphs
Mirko Navara, Karl Svozil
A context is a complete set of mutually exclusive outcomes whose probabilities sum to one. We define a pseudocontext as two disjoint groups, with no mutually exclusive pair within…