1201.5455 (Michel Planat)

Twelve-dimensional Pauli group contextuality with eleven rays    [PDF]

Michel Planat

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.

View original: http://arxiv.org/abs/1201.5455