A Kochen-Specker inequality for a SIC
2012 (English)In: Physics Letters A, ISSN 0375-9601, Vol. 376, no 4, 374-376 p.Article in journal (Refereed) Published
Yu and Oh (eprint)  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 aSIC (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.
Place, publisher, year, edition, pages
2012. Vol. 376, no 4, 374-376 p.
Kochen–Specker theorem, Non-contextuality, SIC and four MUB, Hesse configuration
Research subject Theoretical Physics
IdentifiersURN: urn:nbn:se:su:diva-81909DOI: 10.1016/j.physleta.2011.12.011OAI: oai:DiVA.org:su-81909DiVA: diva2:564493
FunderSwedish Research Council