Quantum Information Cryptography Geometric Formalization

Jincheng Zhang

Published Sep 2, 2026• 0 citations

Abstract

Quantum Information Cryptography (QIC) aims to secure information through cryptographic algorithms that are resistant to computational attacks. Traditional cryptographic approaches frequently rely on mathematical hardness assumptions, while geometric cryptography leverages the properties of geometric spaces to create secure systems. This paper explores a novel approach to QIC: the geometric formalization of key decryption. We propose a method that transforms the core decryption problem into a geometric problem, employing a novel optimization algorithm to refine cryptographic parameters and enhance security. The core claim is that this geometric formalization significantly improves the security of key decryption compared to traditional methods, leveraging the power of geometric topology. This work introduces a new framework for analyzing and optimizing cryptographic systems, potentially offering a more robust approach to secure communication.

DOI: 10.5281/zenodo.22246274

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