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Quantum Image Encryption Based on Henon Mapping

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Abstract

Quantum image processing has great significance as a branch of quantum computing. This paper gives a quantum image encryption based on Henon mapping, which breaks away from the restriction of classical computers and does the work in quantum computers end to end, including the generation of the chaos sequence, the encryption and the decryption. The algorithm is based on the GQIR quantum image representation model and the two-dimensional Henon chaotic mapping. However, the decimal sequence generated by Henon mapping can not be directly applied to quantum computers. Hence, we reform the Henon mapping by binary shift. The quantum image is encrypted by being XORed with the quantum Henon mapping. Simulation experiments indicate that the encrypted image has good radomness and the pixel values are evenly distributed. Since the chaotic sequence itself is suitable for image encryption, coupled with its own quantum confidentiality, the encryption method of this paper is safe, convenient and reliable.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China under Grants No. 61502016 and 61771230, the Joint Open Fund of Information Engineering Team in Intelligent Logistics under Grants No. LDXX2017KF152, and Shandong Provincial Key Research and Development Program under Grants No. 2017CXGC0701.

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Authors and Affiliations

  1. Faculty of Information Technology, Beijing University of Technology, Beijing, 100124, China

    Nan Jiang, Xuan Dong, Hao Hu & Zhuoxiao Ji

  2. School of Information Science and Technology, Linyi University, Linyi, 276000, China

    Nan Jiang & Wenyin Zhang

  3. Beijing Key Laboratory of Trusted Computing, Beijing, 100124, China

    Nan Jiang

  4. National Engineering Laboratory for Critical Technologies of Information Security Classified Protection, Beijing, 100124, China

    Nan Jiang

Authors
  1. Nan Jiang
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  2. Xuan Dong
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  3. Hao Hu
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  4. Zhuoxiao Ji
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  5. Wenyin Zhang
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Correspondence to Nan Jiang.

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Jiang, N., Dong, X., Hu, H. et al. Quantum Image Encryption Based on Henon Mapping. Int J Theor Phys 58, 979–991 (2019). https://doi.org/10.1007/s10773-018-3989-7

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  • DOI: https://doi.org/10.1007/s10773-018-3989-7

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