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一种基于储层计算的量子混沌理论混合图像加密方法

A Hybrid Quantum-Chaos Theory Approach to Image Encryption Using Reservoir Computing

Naheen Mohd. Kadir

arXiv 2607.09923首次发表:更新:

AI 中文总结

研究针对传统图像加密方法在量子计算下的局限,提出结合量子密码学、混沌理论和储层计算的混合图像加密系统,用E91协议生成密钥,洛伦兹超混沌系统增强安全性,储层计算提高效率,实验表明该方法安全可行。

AI 中文摘要

本研究提出了一种新颖的混合图像加密系统,它结合了量子密码学、混沌理论和储层计算,以解决传统加密方法的局限性。随着量子计算的快速发展,像RSA、DHKE等传统系统易受量子攻击。本研究提出一种混合解决方案,使用量子密码协议(特别是E91协议)通过量子纠缠生成安全、防窃听的密钥。整合混沌理论(特别是洛伦兹超混沌系统)增强了加密系统。储层计算用于提高计算效率。该系统对128x128图像的加密时间低至0.0296秒,解密时间低至0.0164秒,在各种图像大小和配置下,MAE在300 - 600节点网络中降低,NPCR和UACI分别高于99.6%和0.49。此方法为量子计算时代的图像加密提供了增强的安全性和实际可行性。

英文摘要

This research presents a novel hybrid image encryption system that combines quantum cryptography, chaos theory and reservoir computing to address the limitations of conventional encryption methods. With the rapid advancements in quantum computing, traditional systems like RSA, DHKE (related to prime number factorization) are vulnerable to quantum attacks i.e. Shor's algorithm, Grover's algorithm. In response, this study proposes a hybrid solution that uses quantum cryptographic protocols, particularly the E91 protocol, to generate secure, eavesdrop-proof keys through quantum entanglement. The integration of chaos theory, specifically the Lorenz hyper-chaotic system, enhances the encryption system by adding unpredictability and sensitivity to initial conditions, making it more resistant to both classical and quantum-based attacks. Reservoir computing is used to improve computational efficiency, enabling faster and more effective encryption and decryption processes. The system achieved encryption times as low as 0.0296s and decryption times as low as 0.0164s for 128x128 images, with MAE reduced for 300-600 node networks, and NPCR and UACI above 99.6% and 0.49, respectively, across various image sizes and configurations. By combining quantum cryptography, chaos theory and reservoir computing, this approach offers both enhanced security and practical feasibility for image encryption in the age of quantum computing.

Comments21 pages, Undergrad Thesis

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