Galois Field Quantum Mechanics
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TR Number
Date
2013-04-20
Journal Title
Journal ISSN
Volume Title
Publisher
World Scientific
Abstract
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.
Description
Keywords
Physics, Applied, Physics, Condensed Matter, Physics, Mathematical, Physics, PHYSICS, APPLIED, PHYSICS, CONDENSED MATTER, PHYSICS, MATHEMATICAL, Quantum mechanics, Galois field, Bell's inequality, Clauser-Horne-Shimony-Holt bound, FINITE HILBERT-SPACE, INEQUALITIES, NONLOCALITY, SYSTEMS