Spin and rotations in Galois field quantum mechanics

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Date
2013-02-15
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Volume Title
Publisher
Iop Publishing Ltd
Abstract

We discuss the properties of Galois Field Quantum Mechanics constructed on a vector space over the finite Galois field GF(q). In particular, we look at 2-level systems analogous to spin, and discuss how SO(3) rotations could be embodied in such a system. We also consider two-particle `spin' correlations and show that the Clauser-Horne-Shimony-Holt (CHSH) inequality is nonetheless not violated in this model.

Description
Keywords
Physics, Multidisciplinary, Physics, Mathematical, Physics, FINITE HILBERT-SPACE, INEQUALITIES, NONLOCALITY, SYSTEMS
Citation