GALOIS FIELD QUANTUM MECHANICS

Author:

CHANG LAY NAM1,LEWIS ZACHARY1,MINIC DJORDJE1,TAKEUCHI TATSU1

Affiliation:

1. Department of Physics, Virginia Tech, Blacksburg, VA 24061, USA

Abstract

We construct a discrete quantum mechanics (QM) 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 QM cannot be reproduced with any hidden variable theory.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Reference23 articles.

1. Quantum Relativity

2. Computational complementarity

3. Y. Nambu, Quantum Field Theory and Quantum Statistics 1, ed. I. A. Batalin (IOP Publishing, 1987) pp. 625–636.

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