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Recursive proof of the Bell-Kochen-Specker theorem in any dimension n>3

Adan Cabello, Jose M. Estebaranz, Guillermo Garcia-Alcaine

quant-pharXiv:quant-ph/0504217

Abstract

We present a method to obtain sets of vectors proving the Bell-Kochen-Specker theorem in dimension n from a similar set in dimension d (3≤ d<n≤ 2d). As an application of the method we find the smallest proofs known in dimension five (29 vectors), six (31) and seven (34), and different sets matching the current record (36) in dimension eight.

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