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Quantum image encryption based on generalized Arnold transform and double random-phase encoding

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Abstract

A quantum realization of the generalized Arnold transform is designed. A novel quantum image encryption algorithm based on generalized Arnold transform and double random-phase encoding is proposed. The pixels are scrambled by the generalized Arnold transform, and the gray-level information of images is encoded by the double random-phase operations. The keys of the encryption algorithm include the independent parameters of coefficients matrix, iterative times and classical binary sequences, and thus, the key space is extremely large. Numerical simulations and theoretical analyses demonstrate that the proposed algorithm with good feasibility and effectiveness has lower computational complexity than its classical counterpart.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China (Grant Nos. 61462061 and 61262084), the Foundation for Young Scientists of Jiangxi Province (Jinggang Star) (Grant No. 20122BCB23002), the Research Foundation of the Education Department of Jiangxi Province (Grant Nos. GJJ14138 and GJJ13057) and the Open Project of Key Laboratory of Photoeletronics and Telecommunication of Jiangxi Province (Grant No. 2013003).

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Authors and Affiliations

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

    Nan Run Zhou, Tian Xiang Hua, Li Hua Gong, Dong Ju Pei & Qing Hong Liao

  2. Key Laboratory of Photoeletronics and Telecommunication of Jiangxi Province, Nanchang, 330022, China

    Li Hua Gong

  3. School of Computer and Information Engineering, Jiangxi Agricultural University, Nanchang, 330045, China

    Dong Ju Pei

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  1. Nan Run Zhou
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  2. Tian Xiang Hua
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  3. Li Hua Gong
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Correspondence to Nan Run Zhou.

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Zhou, N.R., Hua, T.X., Gong, L.H. et al. Quantum image encryption based on generalized Arnold transform and double random-phase encoding. Quantum Inf Process 14, 1193–1213 (2015). https://doi.org/10.1007/s11128-015-0926-z

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