Bell's theorem without inequalities and only two distant observers

P. K. Aravind

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arXiv · quant-ph/0104133

Bell's theorem without inequalities and only two distant observers

P. K. Aravind

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Abstract

A proof of Bell's theorem without inequalities and involving only two observers is given by suitably extending a proof of the Bell-Kochen-Specker theorem due to Mermin. This proof is generalized to obtain an inequality-free proof of Bell's theorem for a set of n Bell states (with n odd) shared between two distant observers. A generalized CHSH inequality is formulated for n Bell states shared symmetrically between two observers and it is shown that quantum mechanics violates this inequality by an amount that grows exponentially with increasing n.

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P. K. Aravind. 2002-07-07. Bell's theorem without inequalities and only two distant observers. https://arxiv.org/abs/quant-ph/0104133

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