基于仿射变换的量子图像加密算法

Quantum Image Encryption Algorithm Based on Chaotic Map and Quadratic Residual Cryptography

以量子仿射变换作为主要的加密方法,结合logistic映射与霍夫曼编码,提出了基于仿射变换的量子图像加密算法。描述了基于量子仿射变换的量子图像加密算法的具体加、解密步骤,构建出相关的量子仿射变换的量子线路图。在此基础上运用此算法对量子图像进行MATLAB加、解密仿真,并主要从灰度直方图、相邻像素相关性、密钥敏感性和信息熵等方面进行了安全性分析。分析得出该加密算法拥有较强的抗直方图攻击能力、能够抵御基于统计分析的图像攻击方法、密钥具有较好的密文敏感性,还可以抵抗信息熵攻击,凸显了该算法的安全性优势。

Quantum affine transformation is used as the main encryption method,combined with logistic mapping and Huffman coding,and a quantum image encryption algorithm based on affine transformation is proposed.The specific encryption and decryption steps of the quantum image encryption algorithm based on quantum affine transformation are described,and the quantum circuit diagram of the related quantum affine transformation is constructed.On this basis,this algorithm is used to perform MATLAB encryption and decryption simulations on quantum images,and the algorithm security is mainly analyzed by gray histogram,adjacent pixel correlation,key sensitivity and information entropy.The analysis shows that the encryption algorithm in this article has strong resistance to histogram attacks.Besides,it can resist image attack methods based on statistical analysis,and the key has good ciphertext sensitivity.Further,it can also resist information moisture attacks,which highlights the security of the proposed algorithm.