A Kochen-Specker inequality from a SIC
arXiv:1109.6514 · doi:10.1016/j.physleta.2011.12.011
Abstract
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.
4 pages, 2 figures; strengthened argument, new coauthor added