Twelve-dimensional Pauli group contextuality with eleven rays
Résumé
The goal of the paper is to check whether the real eigenstates of the observables in the single qudit Pauli group may lead to quantum contextuality, the property that mutually compatible and independent experiments depend on each other. We find that quantum contextuality crops up at dimension twelve in a $6$-color $11$-ray orthogonality graph build over the complete graphs $K_5$ and $K_6$. Some arithmetical properties underlying the qudit contextuality are outlined.
Domaines
Physique Quantique [quant-ph]
Origine : Fichiers produits par l'(les) auteur(s)