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基于Arnold变换的量子图像混沌加密方法

石金晶 陈添 陈淑慧 李琴 施荣华

石金晶, 陈添, 陈淑慧, 李琴, 施荣华. 基于Arnold变换的量子图像混沌加密方法[J]. 电子与信息学报, 2022, 44(12): 4284-4293. doi: 10.11999/JEIT211143
引用本文: 石金晶, 陈添, 陈淑慧, 李琴, 施荣华. 基于Arnold变换的量子图像混沌加密方法[J]. 电子与信息学报, 2022, 44(12): 4284-4293. doi: 10.11999/JEIT211143
SHI Jinjing, CHEN Tian, CHEN Shuhui, LI Qin, SHI Ronghua. Quantum Image Chaotic Cryptography Scheme Based on Arnold Transforms[J]. Journal of Electronics & Information Technology, 2022, 44(12): 4284-4293. doi: 10.11999/JEIT211143
Citation: SHI Jinjing, CHEN Tian, CHEN Shuhui, LI Qin, SHI Ronghua. Quantum Image Chaotic Cryptography Scheme Based on Arnold Transforms[J]. Journal of Electronics & Information Technology, 2022, 44(12): 4284-4293. doi: 10.11999/JEIT211143

基于Arnold变换的量子图像混沌加密方法

doi: 10.11999/JEIT211143
基金项目: 国家自然科学基金(61972418, 61872390),湖南省自然科学基金(2020JJ4750),长沙市杰出创新青年培养计划(kq1905058),CCF-百度松果基金(2021PP15002000)
详细信息
    作者简介:

    石金晶:女,副教授,研究方向为量子信息与量子计算

    陈添:女,硕士生,研究方向为量子密码

    陈淑慧:女,硕士,研究方向为量子神经网络、量子密码

    李琴:女,教授,研究方向为量子计算、量子密码、经典密码及信息安全相关研究

    施荣华:男,教授,研究方向为网络安全、量子保密通信、量子密钥分发、量子计算

    通讯作者:

    陈淑慧 shuhuichen1996@163.com

  • 中图分类号: TN918.4; TP309.7

Quantum Image Chaotic Cryptography Scheme Based on Arnold Transforms

Funds: The National Natural Science Foundation of China (61972418, 61872390), The Natural Science Foundation of Hunan Province (2020JJ4750), The Special Foundation for Distinguished Young Scientists of Changsha (kq1905058), CCF-Baidu Open Fund (2021PP15002000)
  • 摘要: 在确保量子图像密码算法安全的基础上,为进一步优化解密图像质量及计算复杂度,该文提出一种基于Arnold变换的量子图像混沌加密方案。方案使用量子细胞神经网络产生的混沌信号来控制量子Arnold变换、量子交换(SWAP)和量子控制非操作(CNOT),然后将这些操作作用于量子明文图像中以获得相应的密文图像。研究结果表明:所提量子灰度图像加密方法具有高安全性、高解密图像质量及低计算复杂度的特点。
  • 图  1  量子细胞神经网络中${P_1}$, ${P_2}$, ${\varphi _1}$之间的轨迹曲线

    图  2  量子细胞神经网络的最大李雅普诺夫指数

    图  3  新型量子图像表示量子线路图

    图  4  量子交换操作

    图  5  图像加解密全过程

    图  6  明文图像Woman, Pepper及相应密文图像

    图  7  明文图像Woman, Pepper及相应密文图像的直方图

    图  8  图像加密前后邻接像素的联系

    图  9  不同密钥情况下解密出的Lena图像

    表  1  明文图像及相应密文图像的熵

    图像名称明文信息熵密文信息熵
    Woman7.16157.9976
    Pepper7.59407.9957
    下载: 导出CSV

    表  2  明文图像及相应密文图像在水平、垂直、对角方向的相关性

    图像名称明文邻接像素相关性密文邻接像素相关性
    HVDHVD
    Woman0.97950.98850.9230–0.00760.00520.0328
    Pepper0.99130.99400.9670–0.0141–0.04810.0379
    下载: 导出CSV
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出版历程
  • 收稿日期:  2021-10-18
  • 修回日期:  2022-01-08
  • 录用日期:  2022-01-14
  • 网络出版日期:  2022-02-02
  • 刊出日期:  2022-12-16

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