Bell-Kochen-Specker theorem: A proof with 18 vectors
Quantum Physics
2009-10-30 v1
Abstract
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.
Cite
@article{arxiv.quant-ph/9706009,
title = {Bell-Kochen-Specker theorem: A proof with 18 vectors},
author = {Adan Cabello and Jose M. Estebaranz and Guillermo Garcia Alcaine},
journal= {arXiv preprint arXiv:quant-ph/9706009},
year = {2009}
}
Comments
LaTeX, 10 pages