A Kochen-Specker inequality from a SIC

Details A Kochen-Specker inequality from a SIC A Kochen-Specker inequality from a SIC

2011-09-29

arxiv.org/abs/1109.6514v2

Phys. Lett. A376 (2010) 374

Physics

Quantum Physics

4 pages, 2 figures; strengthened argument, new coauthor added

Scientific paper

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.

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