5 papers
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…
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…
Construction of Kochen-Specker Sets from Mutually Unbiased Bases
Mirko Navara, Karl Svozil
We give a constructive analysis of Kochen-Specker (KS) contextuality at the level of complete orthogonal bases (contexts). In dimension three, three noncomputational mutually unbia…
Exploring Quantum Contextuality with the Quantum Moebius-Escher-Penrose hypergraph
Mirko Navara, Karl Svozil
This paper presents the quantum Moebius-Escher-Penrose hypergraph, drawing inspiration from paradoxical constructs such as the Moebius strip and Penrose's `impossible objects'. The…
Maximum Likelihood Estimators of Quantum Probabilities
Mirko Navara, Jan Ševic
Classical probability theory is based on assumptions which are often violated in practice. Therefore quantum probability is a proposed alternative not only in quantum physics, but…