Spin and Rotations in Galois Field Quantum Mechanics
arXiv:1206.0064 · doi:10.1088/1751-8113/46/6/065304
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.
21 pages, 11 pdf figures, LaTeX. Uses iopart.cls. Revised introduction. Additional references