A Kochen-Specker inequality from a SIC |
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Authors: | Ingemar BengtssonKate Blanchfield Adán Cabello |
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Institution: | a Stockholms Universitet, Fysikum, S-10691 Stockholm, Sweden b Departamento de Física Aplicada II, Universidad de Sevilla, E-41012 Sevilla, Spain |
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Abstract: | 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. |
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Keywords: | Kochen-Specker theorem Non-contextuality SIC and four MUB Hesse configuration |
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