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An encryption scheme for MQIR based on binary key image and qubit rotation

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Abstract

With the development of quantum image processing, the sensitive information and potential security risks carried by quantum images are increasing. Quantum image encryption technology can effectively prevent eavesdropping and leakage of information during transmission and often yield higher encryption strength and lower computational complexity. However, most existing quantum image encryption schemes perform encryption by focusing on either frequency domain or spatial domain, which is vulnerable to simultaneous attacks launched on both domains. In this paper, in order to better resist attacks from the spatial and frequency domains, we propose an encryption scheme based on binary key images and qubit rotation for the MQIR (multi-mode quantum image representation) image, which is closer to the classical digital image representation model, by combining frequency domain and spatial domain dislocation. The proposed scheme prepares the original image and the binary key image generated from the original image based on MQIR, then performs a cyclic shift of the original image in the spatial domain, and performs encryption in the frequency domain using QFT (quantum Fourier transform) and the binary key image. Specifically, to improve the randomness of the key, which can increase the cracking costs and reduce the security risks, we propose an algorithm to generate different binary key images for different images. To validate the effectiveness of the proposed scheme, we designed a simple and efficient quantum circuit and performed a complete quantum image simulation experiment on the IBM Quantum Experiment Platform. The quantum collapse results show that the scheme changes both the position information and the color information of the image. SD (standard deviation) is adopted to evaluate the uniformity of the quantum sequence, which indicates the effectiveness of the quantum image encryption. In order to evaluate the security of the algorithm more comprehensively, we also conduct security analysis on MATLAB platform. The experimental results show that the algorithm can effectively encrypt the image with high security.

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Data availability

The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

This work was supported by the Opening Project of Intelligent Policing Key Laboratory of Sichuan Province (No. ZNJW2022KFZD002)

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Authors and Affiliations

  1. School of Cyber Security and Information Law, Chongqing University of Post and Telecommunications, Chongqing, 400065, China

    Zigang Chen, Yi Yan, Ji Pan & HaiHua Zhu

  2. Department of Computer Science and Engineering, Santa Clara University, Santa Clara, CA, 95053, USA

    Yuhong Liu

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  1. Zigang Chen
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Correspondence to Zigang Chen.

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Chen, Z., Yan, Y., Pan, J. et al. An encryption scheme for MQIR based on binary key image and qubit rotation. Nonlinear Dyn 111, 22621–22644 (2023). https://doi.org/10.1007/s11071-023-09006-4

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