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Quantum image encryption based on generalized affine transform and logistic map

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Abstract

Quantum circuits of the generalized affine transform are devised based on the novel enhanced quantum representation of digital images. A novel quantum image encryption algorithm combining the generalized affine transform with logistic map is suggested. The gray-level information of the quantum image is encrypted by the XOR operation with a key generator controlled by the logistic map, while the position information of the quantum image is encoded by the generalized affine transform. The encryption keys include the independent control parameters used in the generalized affine transform and the logistic map. Thus, the key space is large enough to frustrate the possible brute-force attack. Numerical simulations and analyses indicate that the proposed algorithm is realizable, robust and has a better performance than its classical counterpart in terms of computational complexity.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China (Grant Nos. 61462061, 61561033 and 61262084), the Natural Science Foundation of Jiangxi Province, China (Grant No. 20151BAB207002), the Research Foundation of the Education Department of Jiangxi Province (Grant No. GJJ14138) and the Open Project of Key Laboratory of Photoelectronics and Telecommunication of Jiangxi Province (Grant No. 2013003).

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Authors and Affiliations

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

    Hao-Ran Liang & Xiang-Yang Tao

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

    Hao-Ran Liang & Nan-Run Zhou

Authors
  1. Hao-Ran Liang
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  2. Xiang-Yang Tao
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  3. Nan-Run Zhou
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Correspondence to Nan-Run Zhou.

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Liang, HR., Tao, XY. & Zhou, NR. Quantum image encryption based on generalized affine transform and logistic map. Quantum Inf Process 15, 2701–2724 (2016). https://doi.org/10.1007/s11128-016-1304-1

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  • DOI: https://doi.org/10.1007/s11128-016-1304-1

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