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Quantum image encryption scheme with iterative generalized Arnold transforms and quantum image cycle shift operations

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Abstract

A new quantum image encryption scheme is suggested by using the iterative generalized Arnold transforms and the quantum image cycle shift operations. The times of the quantum image cycle shift operations are controlled by a hyper-chaotic sequence generated by a new 4D hyper-chaotic system. The image pixels are scrambled by the iterative generalized Arnold transform, and the values of the pixels are altered by the quantum image cycle shift operations. The four initial conditions of the new 4D hyper-chaotic system are exploited to control the two parameters, the iterative rounds of the generalized Arnold transform and the times of the quantum image cycle shift operations, respectively. Thus, the main keys of the proposed quantum image encryption scheme are the four initial conditions of the new 4D hyper-chaotic system and the key space is relatively large enough. Simulation results and theoretical analyses demonstrate that the proposed quantum image encryption scheme outperforms its classical counterparts apparently.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant Nos. 61462061 and 61262084), the China Scholarship Council (Grant No. 201606825042), the Department of Human Resources and Social security of Jiangxi Province, the Major Academic Discipline and Technical Leader of Jiangxi Province (Grant No. 20162BCB22011), the Natural Science Foundation of Jiangxi Province, China in 2017 for L.H. Gong and the Opening Project of Shanghai Key Laboratory of Integrate Administration Technologies for Information Security (Grant No. AGK201602).

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Authors and Affiliations

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

    Nanrun Zhou, Yiqun Hu & Lihua Gong

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

    Nanrun Zhou, Lihua Gong & Guangyong Li

  3. Shanghai Key Laboratory of Integrate Administration Technologies for Information Security, Shanghai Jiao Tong University, Shanghai, 200240, China

    Yiqun Hu

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Correspondence to Nanrun Zhou.

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Zhou, N., Hu, Y., Gong, L. et al. Quantum image encryption scheme with iterative generalized Arnold transforms and quantum image cycle shift operations. Quantum Inf Process 16, 164 (2017). https://doi.org/10.1007/s11128-017-1612-0

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