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Quantum image encryption based on restricted geometric and color transformations

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Abstract

A novel encryption scheme for quantum images based on restricted geometric and color transformations is proposed. The new strategy comprises efficient permutation and diffusion properties for quantum image encryption. The core idea of the permutation stage is to scramble the codes of the pixel positions through restricted geometric transformations. Then, a new quantum diffusion operation is implemented on the permutated quantum image based on restricted color transformations. The encryption keys of the two stages are generated by two sensitive chaotic maps, which can ensure the security of the scheme. The final step, measurement, is built by the probabilistic model. Experiments conducted on statistical analysis demonstrate that significant improvements in the results are in favor of the proposed approach.

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Acknowledgments

The authors are very indebted to the anonymous reviewer for his helpful comments. This work is supported by the National Natural Science Foundation of China(61301099, 61100187, 11201100,61361166006), Heilongjiang Province Educational Department Funds of China (12521107), the Youth Foundation at the Harbin University of Science and Technology (2011YF009) and Ministry of Higher Education and Scientific Research (Egypt-Tunisia Cooperation program: 4-13-A1).

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Authors and Affiliations

  1. School of Computer Science and Technology, Harbin Institute of Technology, Harbin , 150080, China

    Xian-Hua Song, Shen Wang, Ahmed A. Abd El-Latif & Xia-Mu Niu

  2. Department of Applied Mathematics, Harbin University of Science and Technology, Harbin , 150080, China

    Xian-Hua Song

  3. Department of Mathematics, Faculty of Science, Menoufia University, Shebin , El-Koom , 32511, Egypt

    Ahmed A. Abd El-Latif

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  1. Xian-Hua Song
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  2. Shen Wang
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  3. Ahmed A. Abd El-Latif
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  4. Xia-Mu Niu
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Correspondence to Shen Wang.

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Song, XH., Wang, S., Abd El-Latif, A.A. et al. Quantum image encryption based on restricted geometric and color transformations. Quantum Inf Process 13, 1765–1787 (2014). https://doi.org/10.1007/s11128-014-0768-0

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