paper

On Logic Gates with Complex Numbers

arXiv:2307.12905 · doi:10.1080/17445760.2024.2405970

Abstract

Logic gates can be written in terms of complex differential operators, where the inputs and outputs are holomorphic functions with several variables. Using the polar representation of complex numbers, we arrive at an immediate connection between the oscillatory behavior of the system and logic gates. We discuss the universality of this formalism in a variety of computing systems.

23 pages, 2 figures, matches accepted version

On Logic Gates with Complex Numbers · wovepaper