Bell's theorem without inequalities and only two distant observers
Abstract
Description
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.
8 pages, 1 table. A minor misprint in one of the mathematical expressions occuring in the text has been corrected, as have a couple of typos
8 pages, 1 table. A minor misprint in one of the mathematical expressions occuring in the text has been corrected, as have a couple of typos