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Quantum multi-image compression-encryption scheme based on quantum discrete cosine transform and 4D hyper-chaotic Henon map

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Abstract

A new quantum multi-image compression and encryption algorithm combining quantum discrete cosine transform with 4D hyper-chaotic Henon map is proposed. The four original images are firstly transformed by quantum discrete cosine transform, and then the obtained frequency coefficient matrices are compressed with the measurement matrices to construct four compressed images. Subsequently, four compressed images are selected to reconstruct a new quantum image. Under the control of four initial values and two parameters, a quantum key image is constructed by a 1D chaotic sequence originated from the 4D hyper-chaotic Henon map, and XORed with the reconstructed quantum image. Ultimately, to enhance the security of the algorithm, the cycle shift operations controlled by the logistic map are employed to scramble the pixels of the produced quantum image to acquire the encryption image. Numerical simulations confirm the reliability and the security of the designed quantum multi-image compression and encryption algorithm.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant Nos. 61462061, 61861029), the Major Academic Discipline and Technical Leader of Jiangxi Province (Grant No. 20162BCB22011), the Natural Science Foundation of Jiangxi Province (Grant No. 20171BAB202002), the Top double 1000 Talent Programme of Jiangxi Province (Grant No. JXSQ2019201055), and the Innovation Special Foundation of Graduate Student of Jiangxi Province (Grant No. YC2020-S104).

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

    Jing-Yi Dai, Yan Ma & Nan-Run Zhou

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  1. Jing-Yi Dai
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Correspondence to Nan-Run Zhou.

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Dai, JY., Ma, Y. & Zhou, NR. Quantum multi-image compression-encryption scheme based on quantum discrete cosine transform and 4D hyper-chaotic Henon map. Quantum Inf Process 20, 246 (2021). https://doi.org/10.1007/s11128-021-03187-w

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