A Kochen-Specker inequality from a SIC

作者:Bengtsson Ingemar; Blanchfield Kate*; Cabello Adan
来源:Physics Letters A, 2012, 376(4): 374-376.
DOI:10.1016/j.physleta.2011.12.011

摘要

Yu and Oh (eprint) [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 (symmetric informationally-complete positive operator-valued measure) and a complete set of MUB (mutually unbiased bases). A theory-independent inequality is also presented using the same 21 rays, as required for experimental tests of contextuality.

  • 出版日期2012-1-9