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High-efficiency quantum image steganography protocol based on double-layer matrix coding

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Abstract

In this paper, two efficient quantum image steganography protocols based on double-layer matrix coding are proposed. The first protocol is based on the high embedding efficiency of the classic Zhang Weiming, Zhang Xinpeng and Wang Shuozhong’s steganography framework and matrix coding, combined with quantum image carrier, so that the new protocol not only has very high embedding efficiency but also has high security. The second protocol further proposes a more efficient quantum image steganography protocol, which not only achieves a higher embedding efficiency than the first protocol but also doubles the capacity of the first protocol. To reflect the practicality of these two protocols, we also designed dedicated quantum circuits to embed and extract secret information. Based on the IBMQ quantum experiment platform, we successfully ran the core circuits of the protocol and gave the corresponding results. The simulation results based on MATLAB and the mathematical analysis also show that the two new protocols not only have good imperceptibility but also have high embedding efficiency.

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Data availability

The experimental data used to support the findings of this study are available from the corresponding author upon request.

References

  1. Shor, P.W.: Algorithms for quantum computation: discrete logarithms and factoring. In: Proceedings 35th Annual Symposium on Foundations of Computer Science, pp. 124–134. (1994)

  2. Crandall, R.: Some notes on steganography. Posted Steganography Mailing List. (1998)

  3. Guo, G.C., Guo, G.P.: Quantum data hiding with spontaneous parameter down-conversion. Phys. Rev. A. 68(4), 044303 (2003)

    Article  ADS  Google Scholar 

  4. Hayden, P., Leung, D., Smith, G.: Multiparty data hiding of quantum information. Phys. Rev. A. 71(6), 9 (2005)

    Article  Google Scholar 

  5. Zhang, D.X., Li, X.Y.: Hiding information in orthogonal product quantum states. In: Proceedings of the 2007 Annual Conference on International Conference on Computer Engineering and Applications, pp. 511–515 (2007)

  6. Gea-Banacloche, J.: Hiding messages in quantum data. J. Math. Phys. 43(9), 4531–4536 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  7. Worley III, G.G.: Quantum watermarking by frequency of error when observing qubits in dissimilar bases. arXiv: quant-ph/0401041. (2004)

  8. Sang, J.Z., Wang, S., Li, Q.: A novel quantum representation of color digital images. Quantum Inf. Process. 16(2), 14 (2017)

    Article  MathSciNet  ADS  Google Scholar 

  9. Chen, S.Y., Qu, Z.G.: Novel quantum video steganography and authentication protocol with large payload. Int. J. Theor. Phys. 57(1), 3689–3701 (2018)

    Article  Google Scholar 

  10. Chen, K.H., Yan, F., Iliyasu, Abdullah.M.: Exploring the implementation of steganography protocols on quantum audio signals. Int. J. Theor. Phys 57(2), 476–494 (2018)

    Article  MathSciNet  Google Scholar 

  11. Qu, Z.G., Chen, X.B., Zhou, X.J., Niu, X.X., Yang, Y.X.: Novel quantum steganography with large payload. Opt. Commun. 283(23), 4782–4786 (2010)

    Article  ADS  Google Scholar 

  12. Terhal, B.M., DiVincenzo, D.P., Leung, D.W.: Hiding bits in bell states. Phys. Rev. Lett. 86(25), 5807–10 (2001)

    Article  ADS  Google Scholar 

  13. Venegas-Andraca, S.E., Bose, S.: Storing, processing and retrieving an image using quantum mechanics. Proc. SPIE Conf. Quantum Inf. Comput. 5105(1), 137–147 (2003)

    ADS  Google Scholar 

  14. Venegas-Andraca, S.E., Ball, J.L.: Processing images in entangled quantum systems. Quantum Inf. Process. 9(1), 1–11 (2010)

    Article  MathSciNet  Google Scholar 

  15. Le, P.Q., Dong, F., Hirota, K.: A flexible representation of quantum images for polynomial preparation, image compression, and processing operations. Quantum Inf. Process. 10(1), 63–84 (2011)

    Article  MathSciNet  Google Scholar 

  16. Zhang, Y., Lu, K., Gao, Y.H., Wang, M.: NEQR: a novel enhanced quantum representation of digital images. Quantum Inf. Process. 12(8), 2833–2860 (2013)

    Article  MathSciNet  ADS  Google Scholar 

  17. Jiang, N., Zhao, N., Wang, L.: LSB based quantum image steganography algorithm. Int. J. Theor. Phys. 55(1), 107–123 (2016)

    Article  Google Scholar 

  18. Zhou, R.G., Luo, J., Liu, X.A., Zhu, C., Wei, L., Zhang, X.: A novel quantum image steganography scheme based on LSB. Int. J. Theor. Phys. 57(6), 1848–1863 (2018)

    Article  MathSciNet  Google Scholar 

  19. Li, P., Liu, X.: A novel quantum steganography scheme for color images. Int. J. Quantum Inf. 16, 1850020 (2018)

    Article  Google Scholar 

  20. Qu, Z.G., Li, Z.Y., Xu, G., Wu, S.Y., Wang, X.J.: Quantum image steganography protocol based on quantum image expansion and grover search algorithm. IEEE Access. 7(1), 50849–50857 (2019)

    Article  Google Scholar 

  21. Luo, J., Zhou, R.G.: A novel quantum steganography scheme based on ASCII. Int. J. Quantum Inf. 17, 1950033 (2019)

    Article  MathSciNet  Google Scholar 

  22. Luo, G., Zhou, R.G., Mao, Y.: Two-level information hiding for quantum images using optimal LSB. Quantum Inf. Process. 18(10), 124–149 (2019)

    Article  MathSciNet  ADS  Google Scholar 

  23. Qu, Z.G., Cheng, Z.W., Wang, X.J.: Matrix coding-based quantum image steganography algorithm. IEEE Access. 7(1), 35684–35698 (2019)

    Article  Google Scholar 

  24. Qu, Z.G., Cheng, Z.W., Liu, W.J., Wang, X.J.: A novel quantum image steganography algorithm based on exploiting modification direction. Multimed. Tools Appl. 78(7), 7981–8001 (2019)

    Article  Google Scholar 

  25. Zhang, X.P., Wang, S.Z.: Efficient steganographic embedding by exploiting modification direction. IEEE Commun. Lett. 10(11), 781–783 (2006)

    Article  MathSciNet  Google Scholar 

  26. Hu, W.W., Zhou, R.G., Liu, X.A., Luo, J., Luo, G.F.: Quantum image steganography algorithm based on modified exploiting modification direction embedding. Quantum Inf. Process. 19(5), 28 (2020)

    Article  MathSciNet  Google Scholar 

  27. Zhang, W.M., Wang, S.Z., Zhang, X.P.: Improving embedding efficiency of covering codes for applications in steganography. IEEE Commun. Lett. 11(8), 680–682 (2007)

    Article  Google Scholar 

  28. Zhang, W., Zhang, X., Wang, S.: Maximizing steganographic embedding efficiency by combining hamming codes and wet paper codes. Springer, Berlin, Heidelberg (2008)

    Book  Google Scholar 

  29. Chan, C.K., Cheng, L.M.: Hiding data in images by simple LSB substitution. Pattern Recognit. 37(1), 469–474 (2001)

    MATH  ADS  Google Scholar 

  30. Kim, C., Yang, C.N.: Data hiding based on overlapped pixels using hamming code. Multimed. Tools Appl. 75(23), 15651–15663 (2016)

    Article  Google Scholar 

  31. Kim, C., Shin, D., Yang, C.N., Chou, Y.S.: Improving capacity of hamming (n, k)+1 stego-code by using optimized hamming + k. Digit. Signal Process. 78, 284–293 (2018)

    Article  Google Scholar 

  32. El-Latif, A.A.A., Abd-El-Atty, B., Mazurczyk, W., Fung, C., Venegas-Andraca, S.E.: Secure data encryption based on quantum walks for 5G internet of things scenario. IEEE Trans. Netw. Serv. 17(99), 118–131 (2020)

    Article  Google Scholar 

  33. Zi, W., Yang, S., Guo, C., Sun, X.: Optimization of 16-Element Quantum Search on IBMQ, vol. 11. SPIN. (2021)

  34. Bultrini, D., Gordon, M.H., López, E., Sierra, G.: Simple mitigation strategy for a systematic gate error in IBMQ 09(06), 1215–1229 (2020)

  35. González, D., Pradilla, D., González, G.: Revisiting the experimental test of Mermin’s inequalities at IBMQ. Int. J. Theor. Phys. 59(12), 3756–3768 (2020)

    Article  Google Scholar 

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (No. 61373131, 61601358, 61501247, 61672290, 61303039, 61232016), Natural Science Foundation of Jiangsu Province (Grant No. BK20171458), Sichuan Youth Science and Technique Foundation (No. 2017JQ0048), Open Foundation of State Key Laboratory of Networking and Switching Technology (Beijing University of Posts and Telecommunications) (SKLNST-2020-1-17), PAPD and CICAEET funds.

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Authors and Affiliations

  1. Engineering Research Center of Digital Forensics, Ministry of Education, Nanjing University of Information Science and Technology, Nanjing, China

    Hanrong Sun & Zhiguo Qu

  2. School of Computer Science, Nanjing University of Information Science and Technology, Nanjing, China

    Hanrong Sun, Zhiguo Qu & Le Sun

  3. Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology, Nanjing University of Information Science and Technology, Nanjing, China

    Zhiguo Qu

  4. Information Security Center, State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, China

    Zhiguo Qu & Xiubo Chen

  5. Guizhou Provincial Key Laboratory of Public Big Data, GuiZhou University, Guiyang, Guizhou, China

    Xiubo Chen

  6. School of Information Science and Technology, North China University of Technology, Beijing, China

    Gang Xu

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  1. Hanrong Sun
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  2. Zhiguo Qu
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  3. Le Sun
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  4. Xiubo Chen
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  5. Gang Xu
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Correspondence to Zhiguo Qu.

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Sun, H., Qu, Z., Sun, L. et al. High-efficiency quantum image steganography protocol based on double-layer matrix coding. Quantum Inf Process 21, 165 (2022). https://doi.org/10.1007/s11128-022-03513-w

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