Quantum Image Encryption Algorithm Based on Chaotic System and DNA Coding
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摘要:为了确保量子信息的安全，结合混沌系统和DNA编码理论，提出了一种基于混沌系统和DNA编码的量子图像加密算法. 首先将图像进行量子编码；然后利用Logistic混沌产生幺正矩阵对量子图像进行置乱；再利用Lorenz混沌产生自然DNA矩阵并且动态选择DNA加法操作进行DNA运算，计算后得到幺正矩阵对量子图像再次加密；最后对量子图像进行测量得到经典密文图像. 通过仿真实验和直方图、相关性、NPCR （number of pixel change rate）像素改变率等指标分析，结果表明加密后的图像灰度分布均匀，各灰度级均分布于在1 000左右，相邻像素相关性更低，相关系数平均值0.002，NPCR像素改变率为99.6%，加密效果好且具有良好的安全性.Abstract:To ensure the security of quantum information, a quantum image encryption algorithm based on combining a chaotic system and DNA coding is proposed. Firstly, the image is expressed as a quantum superposition state, and the quantum image is then scrambled by a unitary matrix generated by logistic chaos. Next, using Lorenz chaos to generate a natural DNA matrix and selecting DNA addition rules dynamically to perform DNA calculations, the unitary matrix is obtained to encrypt the quantum image. Finally, the quantum image is measured and the classic ciphertext image is obtained. From simulation experiments and histograms, correlation, and number of pixel change rate （NPCR） analysis, results indicated that the image histogram is smoother, grayscales average distribution is approximately 1 000, the correlation of adjacent pixels is low, average correlation coefficient is 0.002, and the NPCR is 99.6%. The conclusion is that the algorithm produces acceptable encryption effects and provides effective security.
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Key words:
- chaotic system/
- DNA coding/
- quantum image/
- image encryption
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表 1DNA编码规则
Table 1.DNA coding rules
编码 1 2 3 4 5 6 7 8 00 A A C C G G T T 01 C G A T A T C G 10 G C T A T A G C 11 T T G G C C A A 
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表 2DNA加法运算
Table 2.Addition operation of DNA
核苷酸 A C G T A A C G T C C G T A G G T A C T T A C G 下载:
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