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Dual Quantum Audio Watermarking Schemes Based on Quantum Discrete Cosine Transform

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Abstract

The study explores the implementation of watermarking schemes for quantum audio signals based on quantum Discrete Cosine Transform (qDCT). Dual Quantum Audio Watermarking (QAW) schemes, i.e. QAW-I and QAW-II, are proposed by utilizing the property of strong energy compaction of the qDCT. The qDCT transforms the host quantum audio signal which is encoded as an FRQA (Flexible Representation for Quantum Audio) content from time to frequency domain. To retain the high imperceptibility of the dual QAW schemes, the quantum watermark is embedded into the high-frequency portions of host quantum audio signal after the qDCT operation. The circuit networks to execute the embedding and extraction procedures of QAW-I and QAW-II schemes are designed. In addition, simulation-based experiments are conducted to demonstrate their implementation and conclude their advantages in terms of imperceptibility and robustness.

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References

  1. Feynman, R.: Simulating physics with computers. Int. J. Theor. Phys. 21(6–7), 467–488 (1982)

    Article  MathSciNet  Google Scholar 

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

  3. Deutsch, D.: Quantum theory, the church-turing principle and the universal quantum computer. In: Proceedings of the Royal Society of London A 400, pp 97–117 (1985)

  4. Yan, F., Iliyasu, A., Venegas-Andraca, S.: A survey of quantum image representations. Quantum Inf. Process. 15(1), 1–35 (2016)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  5. Iliyasu, A.: Towards realising secure and efficient image and video processing applications on quantum computers. Entropy 15, 2874–2974 (2013)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  6. Yan, F., Iliyasu, A., Le, P.: Quantum image processing: a review of advances in its security technologies. Int. J. Quantum Inf. 15(3), 1730001 (2017)

    Article  MathSciNet  MATH  Google Scholar 

  7. Li, P., Liu, X.: A novel quantum steganography scheme for color images. International Journal of Quantum Information 16(2), 1850020 (2018)

    Article  ADS  MATH  Google Scholar 

  8. Li, P., Lu, A.: Lsb-based steganography using reflected gray code for color quantum images. Int. J. Theor. Phys. 57(5), 1516–1548 (2018)

    Article  MathSciNet  MATH  Google Scholar 

  9. Yuan, S., Mao, X., Li, T., Xue, Y., Chen, L., Xiong, Q.: Quantum morphology operations based on quantum representation model. Quantum Inf. Process. 14(5), 1625–1645 (2015)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  10. Yuan, S., Mao, X., Chen, L., Wang, X.: Improved quantum dilation and erosion operations. Int. J. Quantum Inf. 14(7), 1650036 (2016)

    Article  MATH  Google Scholar 

  11. Iliyasu, A., Le, P., Dong, F., Hirota, K.: A framework for representing and producing movies on quantum computers. Int. J. Quantum Inf. 9(6), 1459–1497 (2011)

    Article  MATH  Google Scholar 

  12. Wang, J.: Qrda: quantum representation of digital audio. Int. J. Theor. Phys. 55(3), 1622–1641 (2016)

    Article  MATH  Google Scholar 

  13. Yan, F., Iliyasu, A., Guo, Y., Yang, H.: Flexible representation and manipulation of audio signals on quantum computers. Theor. Comput. Sci. https://doi.org/10.1016/j.tcs.2017.12.025 (2017)

  14. Le, P., 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  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  16. Chen, K., Yan, F., Iliyasu, A., Zhao, J.: A quantum audio watermarking scheme. In: 37th Chinese Control Conference, pp 1–6 (2018)

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

    Article  ADS  MathSciNet  MATH  Google Scholar 

  18. Yan, F., Chen, K., Iliyasu, A., Zhao, J.: Circuit-based modular implementation of quantum ghost imaging. arXiv:1806.06702 (2018)

  19. Li, P., Xiao, H., Li, B.: Quantum repesentation and watermark strategy for color images based on the controlled rotation of qubits. Quantum Inf. Process. 15(11), 4415–4440 (2016)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  20. Ahmed, N., Natarajan, T., Rao, K.: Discrete cosine transform. IEEE Trans. Comput. C-23(1), 90–93 (1974)

    Article  MathSciNet  MATH  Google Scholar 

  21. Klappenecker, A., Rotteler, M.: Discrete cosine transforms on quantum computers. In: Proceedings of the 2nd International Symposium on Image and Signal Processing and Analysis, pp 464–468 (2001)

  22. Iliyasu, A., Yan, F., Hirota, K.: Metric for estimating congruity between quantum images. Entropy 18(10), 360 (2016)

    Article  ADS  Google Scholar 

Download references

Acknowledgment

This work is supported by the National Natural Science Foundation of China (No. 61502053) and the Science & Technology Development Program of Jilin Province, China (Nos. 20160204019GX and 20170520065JH).

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Authors and Affiliations

  1. School of Computer Science and Technology, Changchun University of Science and Technology, Changchun, 130022, China

    Kehan Chen, Fei Yan & Jianping Zhao

  2. College of Engineering, Prince Sattam Bin Abdulaziz University, Al-Kharj, 11942, Kingdom of Saudi Arabia

    Abdullah M. Iliyasu

Authors
  1. Kehan Chen
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  2. Fei Yan
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  3. Abdullah M. Iliyasu
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  4. Jianping Zhao
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Correspondence to Jianping Zhao.

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Chen, K., Yan, F., Iliyasu, A.M. et al. Dual Quantum Audio Watermarking Schemes Based on Quantum Discrete Cosine Transform. Int J Theor Phys 58, 502–521 (2019). https://doi.org/10.1007/s10773-018-3950-9

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  • DOI: https://doi.org/10.1007/s10773-018-3950-9

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