基于量子图像表示与变换理论的图像加密算法研究

项目名称： 基于量子图像表示与变换理论的图像加密算法研究

项目编号： No.61462061

项目类型： 地区科学基金项目

立项/批准年度： 2015

项目学科： 自动化技术、计算机技术

项目作者： 周南润

作者单位： 南昌大学

项目金额： 48万元

中文摘要： 针对经典图像加密算法处理速度慢和现有量子图像加密算法安全性分析的不足，本项目拟结合经典图像的表示方法，研究量子图像的有效表示以及经典图像到量子图像的最佳转换方法。从密码学和信息论的角度，致力于研究并构建量子图像加密安全性分析和复杂性评价的信息论模型，为量子图像加密系统的实现提供安全性判据。在构建的信息论安全性模型框架下，充分利用量子信息的特点和优点，对典型的量子图像加密算法进行深入分析，基于量子图像关联分解、量子Arnold变换、几何变换和Hadamard变换等量子图像表示与变换理论设计一系列安全高效的图像加密新算法，并通过严格的理论分析和实验仿真等手段确保算法具有经典和量子信息论安全性以及超越经典图像加密系统的良好性能。量子图像在军事通信中具有重要的应用，本项目的实施将完善和充实量子图像加密的理论和技术，为敏感量子图像信息保护提供有效的新机制，并使量子图像加密技术的研究获得实质性进展。

中文关键词： 量子图像；图像加密；量子密码；量子信息处理

英文摘要： Due to the slow processing speed of classical image encryption algorithms and the security analysis defections of existing quantum image encryption algorithms, by combining the representation of classical images, the effective representation of quantum images and the best transform method from classical images to quantum images will be investigated. The information-theoretical model of image encryption algorithms to analyze their security and evaluate their complexility from the aspects of cryptography and information theory will be studied and constructed. And this constructed model will provide a security criterion for the realization of quantum image encryption systems. Under the framework of information-theoretical security model, by making best use of the characteristics and the advantages of quantum information, the typical quantum image encryption algorithms will be analyzed in detail. Based on quantum image representation and transformation theory, including quantum image correlation decomposition, Arnold transform, geometry transform and Hadamard transform, a series of secure and effective new image encryption algorithms will be designed subtly. The classical and quantum information-theoretical security of the designed algorithms and the good performances superior to classical image encryption systems will be ensured by virtue of strictly theoretical analyses and experimental simulations. Since quantum images are of significant applications in military communications, the implementation of this project will improve and enrich the theory and technology of quantum image encryption and will provide the private quantum image information with effective new mechanisms and will make a substantial progress in the study of quantum image encryption.

英文关键词： Quantum image;Image encryption;Quantum cryptography;Quantum information processing