Bell-Kochen-Specker theorem: A proof with 18 vectors

Details Bell-Kochen-Specker theorem: A proof with 18 vectors Bell-Kochen-Specker theorem: A proof with 18 vectors

1997-06-03

arxiv.org/abs/quant-ph/9706009v1

Phys.Lett. A212 (1996) 183

Physics

Quantum Physics

LaTeX, 10 pages

Scientific paper

10.1016/0375-9601(96)00134-X

We present a ``state-independent'' proof of the Bell-Kochen-Specker theorem using only 18 four-dimensional vectors, which is a record for this kind of proof. This set of vectors contains subsets which allow us to develop a ``state-specific'' proof with 10 vectors (also a record) and a ``probabilistic'' proof with 7 vectors which reflects the algebraic structure of Hardy's nonlocality theorem.

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