English

On Logic Gates with Complex Numbers

Quantum Physics 2024-12-05 v7 Mathematical Physics math.MP

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.

Cite

@article{arxiv.2307.12905,
  title  = {On Logic Gates with Complex Numbers},
  author = {M. W. AlMasri},
  journal= {arXiv preprint arXiv:2307.12905},
  year   = {2024}
}

Comments

23 pages, 2 figures, matches accepted version

R2 v1 2026-06-28T11:38:48.708Z