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arXiv · 1109.6514

A Kochen-Specker inequality from a SIC

Ingemar Bengtsson·Kate Blanchfield·Adan Cabello
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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.

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Ingemar Bengtsson, Kate Blanchfield, Adan Cabello. 2011-09-29. A Kochen-Specker inequality from a SIC. https://doi.org/10.1016/j.physleta.2011.12.011

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