Secure communication using low dimensional topological elements
Abstract
Low-dimensional topological objects, such as knots and braids, have become prevalent in multiple areas of physics, such as fluid dynamics, optics, and quantum information processing. Such objects also now play a role in cryptography, where a framed knot can store encoded information using its braid representation for communications purposes. The greater resilience of low-dimensional topological elements under deformations allows them to be employed as a reliable framework for information exchange. Here, we introduce a challenge-response protocol as an application of this construction for authentication. We provide illustrative examples of both procedures showing how framed links and braids may help to enhance secure communication.
Cite
@article{arxiv.2212.04350,
title = {Secure communication using low dimensional topological elements},
author = {Manuel F. Ferrer-Garcia and Avishy Carmi and Alessio D'Errico and Hugo Larocque and Eliahu Cohen and Ebrahim Karimi},
journal= {arXiv preprint arXiv:2212.04350},
year = {2022}
}
Comments
5 pages, 4 figures