Phys. Rev. A 68, 052104 (2003) [3 pages]Generalized Kochen-Specker theoremReceived 10 June 2003; published 17 November 2003 A proof of the generalized Kochen-Specker theorem in two dimensions due to Cabello and Nakamura [A. Cabello, Phys. Rev. Lett. 90, 190401 (2003)] is extended to all higher dimensions. A set of 18 states in four dimensions is used to give closely related proofs of the generalized Kochen-Specker, Kochen-Specker, and Bell theorems that shed some light on the relationship between these three theorems. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.68.052104
DOI:
10.1103/PhysRevA.68.052104
PACS:
03.65.Ta
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