Quantum Theory and Galois Fields

Abstract

We discuss the motivation and main results of a quantum theory over a Galois field (GFQT). The goal of the paper is to describe main ideas of GFQT in a simplest possible way and to give clear and simple arguments that GFQT is a more natural quantum theory than the standard one. The paper has been prepared as a presentation to the ICSSUR' 2005 conference (Besancon, France, May 2-6, 2005).

Latex, 24 pages, 1 figure

References in corpus (2)

• Mutually unbiased phase states, phase uncertainties, and Gauss sums
• Abstract algebra, projective geometry and time encoding of quantum information

Cited by in corpus (1)

• Finite Mathematics, Finite Quantum Theory And A Conjecture On The Nature Of Time