Quantum Image Encryption Algorithm Based on Image Correlation Decomposition

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• 作者：Tianxiang Hua (1)
  Jiamin Chen (2)
  Dongju Pei (3)
  Wenquan Zhang (1)
  Nanrun Zhou (1) (4)
  
  1. Department of Electronic Information Engineering ; Nanchang University ; Nanchang ; 330031 ; China
  2. Department of Physics ; Nanchang University ; Nanchang ; 330031 ; China
  3. School of Computer and Information Engineering ; Jiangxi Agricultural University ; Nanchang ; 330045 ; China
  4. Key Laboratory of Photoeletronics & Telecommunication of Jiangxi Province ; Nanchang ; 330022 ; China
  
• 关键词：Image correlation decomposition ; Quantum computation ; Quantum image encryption ; Information security
• 刊名：International Journal of Theoretical Physics
• 出版年：2015
• 出版时间：February 2015
• 年：2015
• 卷：54
• 期：2
• 页码：526-537
• 全文大小：457 KB
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• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Physics
  Quantum Physics
  Elementary Particles and Quantum Field Theory
  Mathematical and Computational Physics
  
• 出版者：Springer Netherlands
• ISSN：1572-9575

文摘

A novel quantum gray-level image encryption and decryption algorithm based on image correlation decomposition is proposed. The correlation among image pixels is established by utilizing the superposition and measurement principle of quantum states. And a whole quantum image is divided into a series of sub-images. These sub-images are stored into a complete binary tree array constructed previously and then randomly performed by one of the operations of quantum random-phase gate, quantum revolving gate and Hadamard transform. The encrypted image can be obtained by superimposing the resulting sub-images with the superposition principle of quantum states. For the encryption algorithm, the keys are the parameters of random phase gate, rotation angle, binary sequence and orthonormal basis states. The security and the computational complexity of the proposed algorithm are analyzed. The proposed encryption algorithm can resist brute force attack due to its very large key space and has lower computational complexity than its classical counterparts.