Galois Field Quantum Mechanics

Date
2013-04-20Author
Chang, Lay Nam
Lewis, Zachary
Minic, Djordje
Takeuchi, Tatsu
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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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