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近年来, 图像信息的传输安全性已经成为互联网领域的重要研究方向. 本文提出了一种基于量子长短期记忆(quantum long-short term memory, QLSTM)网络的量子图像混沌加密方案. 结果发现, 因为QLSTM网络具有复杂的结构和较多的参数, 应用QLSTM网络对Lorenz混沌序列进行改进, 其最大Lyapunov指数比原序列提高2.5465%, 比经典长短期记忆(long-short term memory, LSTM)网络改进的序列提高0.2844%, 同时在0—1测试中结果更接近1且更稳定, 因此QLSTM网络改进的序列具备更优异的混沌性能, 更难以被预测, 提高了单一混沌系统加密的安全性. 运用NCQI (novel quantum representation of color digital images) 量子图像表示模型, 将原始图像存储为量子态形式, 利用QLSTM网络改进的序列分别控制三级径向扩散、量子广义Arnold变换和量子W变换, 改变量子图像的灰度值与像素位置, 生成最终的加密图像. 本文提出的加密方案在统计学特性测试中, 实现了RGB三通道平均信息熵均大于7.999, 像素数改变率的平均值达99.6047%, 统一平均变化强度的平均值为33.4613%, 平均相关性为0.0038等, 比其他一些传统方法具有更高的安全性, 能够抵抗常见的攻击方式.In recent years, the transmission security of image information has become an important research direction in the internet field. In this work, we propose a quantum image chaos encryption scheme based on quantum long-short term memory (QLSTM) network. We find that because the QLSTM network has a complex structure and more parameters, when the QLSTM network is used to improve the Lorenz chaotic sequence, its largest Lyapunov exponent is 2.5465% higher than that of the original sequence and 0.2844% higher than that the sequence improved by the classical long-short term memory (LSTM) network, while its result is closer to 1 and more stable in the 0–1 test. The improved sequence of QLSTM network has better chaotic performance and is predicted more difficultly, which improves the security of single chaotic system encryption. The original image is stored in the form of quantum states by using the NCQI quantum image representation model, and the improved sequence of QLSTM network is used to control the three-level radial diffusion, quantum generalized Arnold transform and quantum W-transform respectively, so that the gray value and pixel position of the quantum image are changed and the final encrypted image is obtained. The encryption scheme proposed in this work obtains the average information entropy of all three channels of RGB of greater than 7.999, the average value of pixel number change rate of 99.6047%, the average value of uniform average change intensity of 33.4613%, the average correlation of 0.0038, etc. In the test of statistical properties, the encryption scheme has higher security than some other traditional methods and can resist the common attacks.
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序列来源 LLE Henon映射 0.4192 超混沌Lorenz系统 0.3381 LSTM网络改进的序列[43] 2.6002 QLSTM网络改进的序列 2.8846 图像 通道 水平 垂直 对角 R 0.0074 0.0031 0.0064 1 G 0.0039 0.0021 0.0019 B 0.0044 0.0013 0.0058 R 0.0006 0.0067 0.0026 2 G 0.0017 0.0049 0.0047 B 0.0057 0.0006 0.0069 R 0.0003 0.0052 0.0013 3 G 0.0035 0.0005 0.0042 B 0.0090 0.0029 0.0045 图像 R G B 1 7.99928 7.99973 7.99951 2 7.99935 7.99908 7.99975 3 7.99912 7.99949 7.99921 图像 NPCR UACI 1 99.6048% 33.4604% 2 99.6063% 33.4609% 3 99.6029% 33.4627% 算法 平均NPCR 平均UACI 本文 99.6047% 33.4613% 文献[43] 99.604% 33.46% -
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