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Quantum Watermarking Algorithm Based on Quantum Haar Wavelet Transform and Henon Map

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Abstract

In quantum wavelet transform, the pixel values of an image may appear signed decimal instead of integer. Consequently, a generalized representation to signed decimal is presented to carry the data type of pixels in a quantum image. Subsequently, common quantum modules including addition, subtraction, multiplication and division arithmetic units based on the generalized representation to signed decimal are designed to implement quantum Haar wavelet transform. The proposed quantum Haar wavelet transform strategy is more efficient than the classical Haar wavelet transform method. To avoid the periodicity of the quantum Arnold scrambling algorithm, a new quantum scrambling mechanism based on the Henon map is presented. Experimental results indicate that the proposed quantum watermarking algorithm has good performance in security and invisibility.

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Funding

This work is supported by the National Natural Science Foundation of China (Grant Nos. 61462061 and 61861029).

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Authors and Affiliations

  1. Department of Computer Science and Technology, Nanchang University, Nanchang, 330031, JiangXi, China

    Qingwei Zeng, Hongying Ge, Junfeng Fu & Weiping Zou

  2. Enterprise Informatization Center, Jiangxi Branch of China Telecom Co. LTD, Nanchang, 330009, Jiangxi, China

    Junfeng Fu

  3. Department of Electronic Information Engineering, Nanchang University, Nanchang, 330031, JiangXi, China

    Lihua Gong

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  1. Qingwei Zeng
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  2. Hongying Ge
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  3. Junfeng Fu
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  4. Lihua Gong
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Correspondence to Weiping Zou.

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Zeng, Q., Ge, H., Fu, J. et al. Quantum Watermarking Algorithm Based on Quantum Haar Wavelet Transform and Henon Map. Int J Theor Phys 61, 167 (2022). https://doi.org/10.1007/s10773-022-04998-y

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