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Quantum Image Encryption and Decryption Algorithms Based on Quantum Image Geometric Transformations

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Abstract

Cryptography is the essential subject for network information security to protect important data. Although following the symmetric cryptosystem for which the participations in the communication keep exactly the same keys, the special for the encryption and decryption algorithms proposed in this paper lays in the operational objectives, the quantum image. Firstly, extracts the properties of gray-scale and position from the quantum gray-scale image which the storage expression of image in quantum states is achieved. Along with the geometric transformations in classical images, this article realizes the quantum image geometric transforms by means of designing quantum circuits. Eventually, through a combination of the proposals in previous, the encryption and decryption algorithms on quantum gray-scale images is finally accomplished, which could ensure the confidentiality and security of the information in delivery. The algorithms belong to the application of quantum image geometric transformations, for further, the new explorations for quantum image cryptography researches.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China under Grant No. 61065002, the Key Project of Chinese Ministry of Education under Grant No. 212094, Humanities and Social Sciences planning project of Ministry of Education under Grant No. 12YJAZH050, the Foundation of Talent of Jinggang of Jiangxi Province under Grant No. 20112BCB23014, Project of International Cooperation and Exchanges of Jiangxi Province under Grant No. 20112BDH80007, Project of International Cooperation and Exchanges of Nanchang City and the item of science and technology awarded by Education Bureau of Jiangxi Province under Grant No. GJJ12311.

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  1. College of Information Engineering, East China JiaoTong University, Nanchang, China

    Ri-Gui Zhou, Qian Wu, Man-Qun Zhang & Chen-Yi Shen

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  1. Ri-Gui Zhou
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  2. Qian Wu
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Correspondence to Qian Wu.

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Zhou, RG., Wu, Q., Zhang, MQ. et al. Quantum Image Encryption and Decryption Algorithms Based on Quantum Image Geometric Transformations. Int J Theor Phys 52, 1802–1817 (2013). https://doi.org/10.1007/s10773-012-1274-8

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  • DOI: https://doi.org/10.1007/s10773-012-1274-8

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