Bell’s Theorem Without Inequalities and Only Two Distant Observers |
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Authors: | P K Aravind |
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Institution: | (1) Physics Department, Worcester Polytechnic Institute, Worcester, Massachusetts, 01609 |
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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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Keywords: | Kochen-Specker theorem Bell's theorem without inequalities |
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