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Quantum cryptosystem and circuit design for color image based on novel 3D Julia-fractal chaos system

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Abstract

Chaos and fractals go hand in hand. Fractal transformation is used on chaotic systems to produce rich chaotic attractors. A three-dimensional four-wing chaotic system is suggested as the seed chaotic system for a novel three-dimensional Julia-fractal (3DJF) chaotic system. The bifurcation diagram and Lyapunov exponent are used to investigate the dynamics of a complex chaotic attractor. The outcomes demonstrate the tremendous complexity of the chaotic sequence with fractal transformation. Recent years have seen a boom in the study of quantum picture encryption. This work suggests a Fibonacci scrambling quantum circuit based on a novel quantum color picture representation in order to implement image scrambling in quantum computers. A unique type of quantum image called a quantum key image is used to store encryption keys. The chaotic system suggested in this research generates the encryption key, which is then converted into the pixel value of the quantum key image. The bit-by-bit mode-XOR method described in this study is used to create a quantum circuit diagram of the quantum key image and the regular image. The proposed quantum picture encryption method can successfully transform common images into incomprehensible noise images and has high efficiency, vast key space, and low computational complexity, according to the findings of numerical simulations. It can withstand numerous assaults throughout the test.

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Data availability

The used datasets analyzed during the current study are openly available from http://sipi.usc.edu/database/, and the data used to support the findings of this study are available from the corresponding author on reasonable request.

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Acknowledgements

This research is supported by the National Natural Science Foundation of China (No.: 61702356), Natural Science Foundation of Shanxi Province (No.: 20210302124050), Project 1331 of Shanxi Province (No.: SC9100026).

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Authors and Affiliations

  1. School of Software, Taiyuan University of Technology, Taiyuan, 030024, China

    Wan-ting Wang & **g-yu Sun

  2. College of Information and Computer, Taiyuan University of Technology, Taiyuan, 030024, China

    Hao Zhang

  3. College of Data Science, Taiyuan University of Technology, Taiyuan, 030024, China

    Jun Zhang

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  1. Wan-ting Wang
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  2. **g-yu Sun
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  3. Hao Zhang
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  4. Jun Zhang
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Correspondence to Hao Zhang.

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Wang, Wt., Sun, Jy., Zhang, H. et al. Quantum cryptosystem and circuit design for color image based on novel 3D Julia-fractal chaos system. Quantum Inf Process 22, 64 (2023). https://doi.org/10.1007/s11128-022-03823-z

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