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arXiv · 1206.0064

Spin and Rotations in Galois Field Quantum Mechanics

Lay Nam Chang·Zachary Lewis·Djordje Minic·Tatsu Takeuchi
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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.

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Lay Nam Chang, Zachary Lewis, Djordje Minic, Tatsu Takeuchi. 2012-06-01. Spin and Rotations in Galois Field Quantum Mechanics. https://doi.org/10.1088/1751-8113/46/6/065304

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