基于XOR和量子傅里叶变换的多量子图像秘密共享方案  

Multiple Quantum Images Secret Sharing Scheme Based on XOR and Quantum Fourier Transform

作　　者：钱学行 徐光宝 姜东焕 QIAN Xuehang;XU Guangbao;JIANG Donghuan(College of Mathematics and Systems Science,Shandong University of Science and Technology,Qingdao,Shandong 266590,China;College of Computer Science and Engineering,Shandong University of Science and Technology,Qingdao,Shandong 266590,China)

机构地区：[1]山东科技大学数学与系统科学学院,山东青岛266950 [2]山东科技大学计算机科学与工程学院,山东青岛266590

出　　处：《数学建模及其应用》2023年第3期50-58,共9页Mathematical Modeling and Its Applications

基　　金：国家自然科学基金(62171264)。

摘　　要：安全的图像数据共享是无线网络中一个值得探索的课题.本文提出了一种基于异或(XOR)和量子傅里叶变换的多量子图像秘密共享方案.在共享过程中,首先,通过XOR运算操作对一个量子秘密图像进行预处理;其次,通过哈希函数生成的密钥对这些图像做进一步处理;最后,通过执行量子傅里叶变换(QFT)得到一个共享图像.在恢复阶段,只有当所有参与者都在场时,秘密图像才能被恢复.同时给出了实现该秘密共享方案的量子线路图.实验结果表明,该方法在共享过程和恢复过程中都具有良好的安全性.此外,该方法在共享图像生成和秘密图像恢复方面的计算复杂度较低.Secure image data sharing is a topic worth exploring in wireless networks.In this paper,a multiple quantum images secret sharing scheme based on XOR and quantum Fourier transform is proposed.In the sharing process,firstly,l quantum secret images are preprocessed by XOR operation.Secondly,these images are further processed by the keys generated by the hash function.Finally,l shared images are obtained by performing quantum Fourier transform(QFT).In the recovery phase,these secret images can only be recovered if and only if all participants are present.At the same time,the quantum circuit to realize the secret sharing scheme is given.The experimental results show that the proposed method has good security in both sharing process and recovery process.In addition,the computational complexity of the proposed method is low in the aspects of shared image generation and secret image recovery.

关 键 词：多量子图像秘密共享 异或运算 量子乘法运算 量子傅里叶变换 哈希函数 量子线路图 

分 类 号：TP390[自动化与计算机技术—计算机应用技术]