量子电子学报 ›› 2024, Vol. 41 ›› Issue (6): 956-969.doi: 10.3969/j.issn.1007-5461.2024.06.012

• 量子光学 • 上一篇    下一篇

基于一维圆上量子行走的图片加密

刘文经 , 刘 骏 , 曹 原 , 王棚栎 , 张 融 *   

  1. 南京邮电大学电子与光学工程学院, 江苏 南京 210023
  • 收稿日期:2022-12-23 修回日期:2023-03-03 出版日期:2024-11-28 发布日期:2024-11-28
  • 通讯作者: E-mail: zhangr_nj@163.com E-mail:E-mail: zhangr_nj@163.com
  • 作者简介:刘文经 ( 1993 - ), 云南宣威人, 研究生, 主要从事量子通信和量子计算方面的研究。E-mail: 15926203551@163.com
  • 基金资助:
    国家自然科学基金青年项目 (11705096)

Image encryption based on one⁃dimensional quantum walks on a circle

LIU Wenjing, LIU Jun, CAO Yuan, WANG Pengyue, ZHANG Rong *   

  1. College of Electronic and Optical Engineering, Nanjing University of Posts and Telecommunications, Nanjing 210023, China
  • Received:2022-12-23 Revised:2023-03-03 Published:2024-11-28 Online:2024-11-28

摘要: 随着第五代 (5G) 移动通信技术的发展, 图片在互联网、医学诊断、卫星观测等关键领域有着大量应用, 图片 信息的安全正变得越来越重要。为此提出基于一维圆上量子行走的新型图片加密方案, 该方案有效利用圆上量子行 走生成加密所需的异或数据和替换盒, 同时通过生成的控制矩阵来控制图像分块之后的图片加密过程。测试结果表 明该加密方案有着良好的加密性能, 加密图片直方图趋于均匀分布, 像素相关性趋近于0, 密钥空间达到2212 , 信息熵 达到7.99, 可以有效抵挡穷举暴力攻击、统计攻击等攻击方式,在敏感度、抗噪声方面也表现出良好的性能。

关键词: 量子光学, 图片加密, 一维圆上量子行走, 控制矩阵, 替换盒, 伪随机数生成器

Abstract: With the development of the fifth generation (5G) mobile communication technology, images are widely used in key fields such as internet, medical diagnosis and satellite observation, and the security of picture information is becoming increasingly important. For the secure transfer of image data in the internet, a new image encryption scheme based on one-dimensional quantum walks on a circle is proposed in this work. The scheme utilizes the power of quantum walks to construct permutation boxes and generates exclusive or (xor) numbers for encryption, and innovatively introduces the generation of control matrix to control the image encryption after image blocking. The simulation and numerical analyses show that the proposed encryption algorithm has good performance and security, the histograms of images after encryption tend to uniform distribution, the pixel correlation coefficient approaches 0, and the key space reaches 2212 , the information entropy reaches 7.99, which can effectively resist brute force attacks,statistical attacks and other attack methods. In addtion, the scheme also shows good performance in sensitivity and anti-noise.

Key words: quantum optics, picture encryption, one-dimensional quantum walks, control matrix, permutation boxes, pseudo-random number generator

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