基于量子退相干的密码算法分析与优化
Jincheng Zhang
Abstract
This paper investigates the security of quantum cryptography algorithms through a rigorous mathematical analysis leveraging the phenomenon of quantum decoherence. We develop a comprehensive mathematical model that explicitly incorporates decoherence effects, allowing for a more precise assessment of vulnerabilities within key algorithms. The analysis focuses on quantifying the impact of decoherence on key generation, distribution, and security, ultimately leading to the identification of optimization strategies aimed at enhancing robustness against decoherence-based attacks. Specifically, we examine the influence of decoherence rates, measurement strategies, and error correction protocols on the overall security of Quantum Key Distribution (QKD) systems. The core contribution lies in moving beyond heuristic estimations and offering a quantifiable framework for evaluating and improving the resilience of quantum cryptographic systems in the face of a significant real-world challenge – the inevitable degradation of quantum states due to decoherence. The model presented provides a foundation for developing more secure and practical quantum key distribution protocols.