Proposing two quantum audio watermarking schemes with improved robustness

Document Type : Persian Original Article

Authors

1 Department of Computer Engineering, Dezful Branch, Islamic Azad University, Dezful, Iran

2 Department of Computer Engineering, Dezful Branch, iIslamic Azad University, Dezful, Iran

3 Department of Computer Engineering, Tabriz Branch, Islamic Azad University, Tabriz, Iran.

Abstract

Abstract- As an important security technology, recently quantum watermarking attracted wide research attention. Up to now, several methods have been proposed for quantum image watermarking, while there are a few achievements in the domain of quantum audio watermarking. This study presents two quantum audio watermarking schemes, with the aim of improving robustness. The first scheme embeds a watermark qubit into odd number of qubits of host audio, and employs majority-voting policy to extract the correct watermark qubit. In the second proposed scheme, k audio samples are grouped as a frame, which holds one qubit of watermark. In order to embed a qubit into a frame, parameter r, which is sum of frame amplitudes, is calculated in module 2k. The amplitudes are then adjusted to set parameter r in the median of two ranges, [0, 2k-1-1], and [2k-1, 2k-1] to represent embedding ├ |0⟩ or ├ |1⟩. The parameter r is recalculated in extracting phase, and based on belonging to a range, the extracted qubit is determined. For every procedure of the proposed schemes, the quantum circuit and complexity analysis are presented. The circuit complexity of both proposed schemes is linear. Experimental results show that the proposed schemes offer promising trade-offs in terms of robustness and transparency.

Keywords

References

[1]    P. Benioff, "The computer as a physical system: A microscopic quantum mechanical Hamiltonian model of computers as represented by Turing machines," Journal of statistical physics, vol. 22, pp. 563-591, 1980.
[2]    V. Vedral, A. Barenco, and A. Ekert, "Quantum networks for elementary arithmetic operations," Physical Review A, vol. 54, p. 147, 1996.
[3]    S. E. Venegas-Andraca and S. Bose, "Storing, processing, and retrieving an image using quantum mechanics," in Quantum Information and Computation, 2003, pp. 137-148.
[4]    J. I. Latorre, "Image compression and entanglement," arXiv preprint quant-ph/0510031, 2005.
[5]    P. Q. Le, F. Dong, and K. Hirota, "A flexible representation of quantum images for polynomial preparation, image compression, and processing operations," Quantum Information Processing, vol. 10, pp. 63-84, 2011.
[6]    B. Sun, P. Q. Le, A. M. Iliyasu, F. Yan, J. A. Garcia, F. Dong, et al., "A multi-channel representation for images on quantum computers using the RGBα color space," in Intelligent Signal Processing (WISP), 2011 IEEE 7th International Symposium on, 2011, pp. 1-6.
[7]    Y. Zhang, K. Lu, Y. Gao, and M. Wang, "NEQR: a novel enhanced quantum representation of digital images," Quantum information processing, vol. 12, pp. 2833-2860, 2013.
[8]    J. Sang, S. Wang, and Q. Li, "A novel quantum representation of color digital images," Quantum Information Processing, vol. 16, p. 42, 2017.
[9]    J. Wang, "QRDA: quantum representation of digital audio," International Journal of Theoretical Physics, vol. 55, pp. 1622-1641, 2015.
[10]  F. Yan, A. M. Iliyasu, Y. Guo, and H. Yang, "Flexible representation and manipulation of audio signals on quantum computers," Theoretical Computer Science, 2017.
[11]  Z.-G. Qu, H.-X. He, and T. Li, "Novel quantum watermarking algorithm based on improved least significant qubit modification for quantum audio," Chinese Physics B, vol. 27, p. 010306, 2018.
[12]  W.-W. Zhang, F. Gao, B. Liu, H.-Y. Jia, Q.-Y. Wen, and H. Chen, "A quantum watermark protocol," International Journal of Theoretical Physics, vol. 52, pp. 504-513, 2013.
[13]  X.-H. Song, S. Wang, S. Liu, A. A. A. El-Latif, and X.-M. Niu, "A dynamic watermarking scheme for quantum images using quantum wavelet transform," Quantum information processing, vol. 12, pp. 3689-3706, 2013.
[14]  X. Song, S. Wang, A. A. A. El-Latif, and X. Niu, "Dynamic watermarking scheme for quantum images based on Hadamard transform," Multimedia systems, vol. 20, pp. 379-388, 2014.
[15]  S. Wang, X. Song, and X. Niu, "Quantum cosine transform based watermarking scheme for quantum images," Chinese Journal of Electronics, vol. 24, pp. 321-325, 2015.
[16]  N. Wang and S. Lin, "A watermarking strategy for quantum image based on least significant bit," Chin. J. Quantum Electron, vol. 32, pp. 263-269, 2015.
[17]  S. Heidari and M. Naseri, "A novel LSB based quantum watermarking," International Journal of Theoretical Physics, vol. 55, pp. 4205-4218, 2016.
[18]  N. Jiang, N. Zhao, and L. Wang, "LSB based quantum image steganography algorithm," International Journal of Theoretical Physics, vol. 55, pp. 107-123, 2016.
[19]  S. Heidari, M. Naseri, R. Gheibi, M. Baghfalaki, M. R. Pourarian, and A. Farouk, "A new quantum watermarking based on quantum wavelet transforms," Communications in Theoretical Physics, vol. 67, p. 732, 2017.
[20]  K. Chen, F. Yan, A. M. Iliyasu, and J. Zhao, "Exploring the Implementation of Steganography Protocols on Quantum Audio Signals," International Journal of Theoretical Physics, vol. 57, pp. 476-494, 2017.
[21]  X. Li, G. Yang, C. M. Torres Jr, D. Zheng, and K. L. Wang, "a Class of Efficient Quantum Incrementer Gates for Quantum Circuit Synthesis," International Journal of Modern Physics B, vol. 28, p. 1350191, 2014.
[22]  L. Zhang, X. Tian, and S. Xia, "A scrambling algorithm of image encryption based on Rubik's cube rotation and Logistic sequence," in Multimedia and Signal Processing (CMSP), 2011 International Conference on, 2011, pp. 312-315.
[23]  M. Li, T. Liang, and Y.-j. He, "Arnold transform based image scrambling method," in 3rd International Conference on Multimedia Technology, 2013.
[24]  J. Zou, R. K. Ward, and D. Qi, "A new digital image scrambling method based on Fibonacci numbers," in Circuits and Systems, 2004. ISCAS'04. Proceedings of the 2004 International Symposium on, 2004, pp. III-965.
[25]  X.-H. Lin and L.-D. Cai, "Scrambling research of digital image based on Hilbert curve [J]," Chinese Journal of Stereology and Image Analysis, vol. 9, pp. 224-227, 2004.
[26]  Y. Zou, X. Tian, S. Xia, and Y. Song, "A novel image scrambling algorithm based on Sudoku puzzle," in Image and Signal Processing (CISP), 2011 4th International Congress on, 2011, pp. 737-740.
[27]  N. Jiang, W.-Y. Wu, and L. Wang, "The quantum realization of Arnold and Fibonacci image scrambling," Quantum information processing, vol. 13, pp. 1223-1236, 2014.
[28]  N. Jiang, L. Wang, and W.-Y. Wu, "Quantum Hilbert image scrambling," International Journal of Theoretical Physics, vol. 53, pp. 2463-2484, 2014.
[29]  A. Barenco, C. H. Bennett, R. Cleve, D. P. DiVincenzo, N. Margolus, P. Shor, et al., "Elementary gates for quantum computation," Physical review A, vol. 52, p. 3457, 1995.
[30]  www.MusicRadar.com. (2015, 01/08/2018). SampleRadar: 235 free '80s heat samples. Available: https://www.musicradar.com/news/tech/sampleradar-235-free-80s-heat-samples-628852
Journal of Soft Computing and Information Technology
Volume 9, Issue 3 - Serial Number 29
Autumn
October 2020
Pages 180-195

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