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Some Mutant Forms of Quantum Mechanics

by: Tatsu Takeuchi, Lay N. Chang, Zachary Lewis, Djordje Minic
(28 Aug 2012)  Key: citeulike:11272634

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Abstract

We construct a `mutant' form of quantum mechanics on a vector space over the finite Galois field GF(q). We find that the correlations in our model do not violate the Clauser-Horne-Shimony-Holt (CHSH) version of Bell's inequality, despite the fact that the predictions of this discretized quantum mechanics cannot be reproduced with any hidden variable theory. An alternative `mutation' is also suggested.


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