Spin and Rotations in Galois Field Quantum Mechanics
Quantum Physics
2013-02-06 v3 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.1206.0064,
title = {Spin and Rotations in Galois Field Quantum Mechanics},
author = {Lay Nam Chang and Zachary Lewis and Djordje Minic and Tatsu Takeuchi},
journal= {arXiv preprint arXiv:1206.0064},
year = {2013}
}
Comments
21 pages, 11 pdf figures, LaTeX. Uses iopart.cls. Revised introduction. Additional references