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Quantum Multi-Image Encryption Based on Iteration Arnold Transform with Parameters and Image Correlation Decomposition

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Abstract

A novel quantum multi-image encryption algorithm based on iteration Arnold transform with parameters and image correlation decomposition is proposed, and a quantum realization of the iteration Arnold transform with parameters is designed. The corresponding low frequency images are obtained by performing 2-D discrete wavelet transform on each image respectively, and then the corresponding low frequency images are spliced randomly to one image. The new image is scrambled by the iteration Arnold transform with parameters, and the gray-level information of the scrambled image is encoded by quantum image correlation decomposition. For the encryption algorithm, the keys are iterative times, added parameters, classical binary and orthonormal basis states. The key space, the security and the computational complexity are analyzed, and all of the analyses show that the proposed encryption algorithm could encrypt multiple images simultaneously with lower computational complexity compared with its classical counterparts.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant No. 61462061 and 61561033), the China Scholarship Council (Grant No. 201606825042), the Department of Human Resources and Social security of Jiangxi Province, and the Major Academic Discipline and Technical Leader of Jiangxi Province (Grant No. 20162BCB22011).

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Authors and Affiliations

  1. Department of Electronic Information Engineering, Nanchang University, Nanchang, 330031, China

    Yiqun Hu, Xinwen Xie, Xingbin Liu & Nanrun Zhou

  2. Department of Electrical and Computer Engineering, University of Pittsburgh, Pittsburgh, PA, 15261, USA

    Nanrun Zhou

  3. XLIM (UMR CNRS 7252), University of Poitiers, Poitiers, France

    Xinwen Xie

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  1. Yiqun Hu
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  2. Xinwen Xie
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  3. Xingbin Liu
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  4. Nanrun Zhou
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Correspondence to Nanrun Zhou.

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Hu, Y., Xie, X., Liu, X. et al. Quantum Multi-Image Encryption Based on Iteration Arnold Transform with Parameters and Image Correlation Decomposition. Int J Theor Phys 56, 2192–2205 (2017). https://doi.org/10.1007/s10773-017-3365-z

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  • DOI: https://doi.org/10.1007/s10773-017-3365-z

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