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Multi-image encryption scheme based on quantum 3D Arnold transform and scaled Zhongtang chaotic system

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Abstract

A quantum representation model for multiple images is firstly proposed, which could save more storage space than the existing quantum image representation models and allow quantum hardware to encrypt an arbitrary number of images simultaneously. Moreover, the definition and the quantum circuit of quantum 3D Arnold transform are given based on the proposed quantum representation model for multiple images. Furthermore, a novel quantum multi-image encryption scheme is devised by combining quantum 3D Arnold transform and quantum XOR operations with scaled Zhongtang chaotic system. Theoretically, the proposed quantum image encryption scheme could encrypt many images simultaneously. Numerical simulations and theoretical analyses demonstrate that the proposed quantum multi-image encryption scheme outperforms both its classical counterparts and the existing typical quantum image encryption algorithms in terms of security, robustness, encryption capacity and computational complexity.

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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) and the Natural Science Foundation of Jiangxi Province, China (Grant No. 20171BAB202002).

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Author notes

  1. Nanrun Zhou, Haoran Liang and Guangyong Li contributed equally and are the co-corresponding authors.

Authors and Affiliations

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

    Nanrun Zhou & Xingyu Yan

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

    Nanrun Zhou & Haoran Liang

  3. Key Laboratory of Photoelectronics and Telecommunication of Jiangxi Province, Jiangxi Normal University, Nanchang, 330022, China

    Xiangyang Tao

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

    Guangyong Li

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  1. Nanrun Zhou
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  2. Xingyu Yan
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  4. Xiangyang Tao
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  5. Guangyong Li
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Correspondence to Nanrun Zhou, Haoran Liang or Guangyong Li.

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Zhou, N., Yan, X., Liang, H. et al. Multi-image encryption scheme based on quantum 3D Arnold transform and scaled Zhongtang chaotic system. Quantum Inf Process 17, 338 (2018). https://doi.org/10.1007/s11128-018-2104-6

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