A Kochen-Specker inequality from a SIC

Ingemar Bengtsson, Kate Blanchfield, Adan Cabello

Published 2011-09-29, updated 2011-10-06Version 2

Yu and Oh [1] have given a state independent proof of the Kochen-Specker theorem in three dimensions using only 13 rays. The proof consists of showing that a non-contextual hidden variable theory necessarily leads to an inequality that is violated by quantum mechanics. We give a similar proof making use of 21 rays that constitute a SIC and four Mutually Unbiased Bases.