A Kochen-Specker inequality from a SIC
Quantum Physics
2015-05-30 v2
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.
Cite
@article{arxiv.1109.6514,
title = {A Kochen-Specker inequality from a SIC},
author = {Ingemar Bengtsson and Kate Blanchfield and Adan Cabello},
journal= {arXiv preprint arXiv:1109.6514},
year = {2015}
}
Comments
4 pages, 2 figures; strengthened argument, new coauthor added