摘要
量子图像加密借助于量子纠缠和叠加特性来提高算法效率,同时,与传统的图像加密算法相比,其在信息传递的安全性上更具优越性。针对量子图像仅在空间域或变换域不能充分置乱混淆的问题,文章提出了空间域和变换域操作相结合的置乱混淆方法。首先,通过量子Baker映射对图像像素的位置进行空间域的置乱。其次,利用量子比特旋转改变空间域像素的灰度信息,其中旋转角度由级联混沌系统产生的伪随机序列来确定;然后,将空间域的量子态转换到傅里叶变换域,并在傅里叶域进行量子比特旋转;最后,利用量子傅里叶逆变换将变换域信息转换到空间域得到密文图像。由于Baker映射周期更长,使得本文算法的密钥空间更大。另外,基于级联混沌系统的旋转参数生成可以减轻密钥传输负担。仿真实验结果验证了本文算法的安全性和有效性,且在复杂度上优于经典图像加密算法。
Quantum image encryption can greatly improve the efficiency with help of quantum entanglement and superposition characteristics,and has advantages over traditional image encryption algorithms in ensuring the security of information transmission.Aiming at the problem that quantum images could not be fully scrambled and confused only in the spatial domain or the transform domain,a scramble and confusion method combining the spatial domain and the transform domain was proposed.Firstly,the positions of image pixels were scrambled in spatial domain by quantum Baker map.Secondly,the gray information of pixels in spatial domain was changed by the rotation of quantum bits.The rotation angle was determined by the pseudo-random sequence generated by the cascade chaotic system.Then,the quantum state in the spatial domain was converted to the Fourier transform domain,and the quantum bits were rotated in the Fourier domain.Finally,the information in the transform domain was converted to the spatial domain by the inverse quantum Fourier transform to obtain the ciphertext image.Because the Baker map has a longer period,the key space of the proposed algorithm is larger.In addition,the rotation parameter generation based on the cascade chaotic system can reduce the burden of keys transmission.Numerical simulation results verify the security and effectiveness of the proposed algorithm,and the complexity is superior to the classical image encryption algorithm.
作者
刘兴斌
刘聪
LIU Xingbin;LIU Cong(College of Electronic and Information Engineering,Southwest University,Chongqing 400715,China;Southwest Technology and Engineering Research Institute,Chongqing 400039,China)
出处
《信息网络安全》
CSCD
北大核心
2023年第12期49-58,共10页
Netinfo Security
基金
国家自然科学基金[61802037]
中央高校基本科研业务费资助项目[SWU-KQ22002]
重庆市自然科学基金[cstc2020jcyjmsxmX0767]。
