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arxiv: 1205.4800 · v2 · pith:YKHYZD2Ynew · submitted 2012-05-22 · 🪐 quant-ph · hep-th

Galois Field Quantum Mechanics

classification 🪐 quant-ph hep-th
keywords mechanicsquantumdiscretefieldgaloisbellcannotchsh
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We construct a discrete quantum mechanics using a vector space over the 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 discrete quantum mechanics cannot be reproduced with any hidden variable theory.

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