arXiv:2212.04350

Secure communication using low dimensional topological elements

Manuel F. Ferrer-Garcia, Avishy Y. Carmi, Alessio D’Errico, Hugo Larocque, Eliahu Cohen, Ebrahim Karimi

Published Dec 7, 2022• 2 citations

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.

DOI: 10.48550/arxiv.2212.04350

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