We give a mathematical analysis of a new type of classical computer network architecture, intended as a model of a new technology that has recently been proposed in industry. Our approach is based on groubits, generalizations of classical bits based on groupoids. This network architecture allows the direct execution of a number of protocols that are usually associated with quantum networks, including teleportation, dense coding and secure key distribution.
@article{arxiv.1707.00966,
title = {A classical groupoid model for quantum networks},
author = {David J. Reutter and Jamie Vicary},
journal= {arXiv preprint arXiv:1707.00966},
year = {2023}
}