Steganalysis of Quantum Audio Signal using Quantum Support Vector Machine Algorithm

Document Type : Original Article

Authors

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

2 Islamic Azad University of Dezful

Abstract

With the advent of quantum computing theory and quantum communication networks, establishing confidential and secure communication has become challenging. Quantum audio signal steganalysis is one of the interesting subfields in the field of quantum signal processing and quantum computing, which tries to identify hidden communications in the context of quantum communication networks by using feature extraction techniques and quantum machine learning algorithms. Since steganography causes inevitable changes in the statistical characteristics of the frequency domain of the host signal, it can be used as an efficient and effective tool to build comprehensive and accurate steganalysis. So; At first, the proposed method uses quantum Fourier transform on QRDS audio signal to extract statistical features. For this purpose, the proposed quantum circuit network of these features, quantum spectral center and quantum spectral bandwidth has been designed and implemented. Finally, the Quantum Support Vector Machine (QSVM) algorithm, using the extracted features, separates clean and stego data sets with an accuracy of more than 95%.

Keywords


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[1] I. Cox, M. Miller, J. Bloom, J. Fridrich, and T. Kalker, "Digital Watermarking and Steganography Morgan Kaufmann Publishers," Amsterdam/Boston, 2008.
[2] S. E. Venegas-Andraca and S. Bose, "Storing, processing, and retrieving an image using quantum mechanics," in Quantum Information and Computation, 2003, vol. 5105: International Society for Optics and Photonics,pp.137-147. https://doi.org/10.1117/12.485960.
[3] J. Latorre, "Image compression and entanglement," CoRR, vol.abs/quant-ph/0510031,10/04.2005. https://doi.org/10.48550/arXiv.quant-ph/0510031.
[4] 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,no.1,pp.6384,2011.
https://doi.org/10.1007/s11128-010-0177-y.
[5] Y. Zhang, K. Lu, Y. Gao, and M. Wang, "NEQR: a novel enhanced quantum representation of digital images," Quantum Information Processing, vol. 12, no.8,pp.2833-2860,2013 .https://doi.org/10.1007/s11128-013-0567-z.
 
 
 
[6] J. Wang, "QRDA: quantum representation of digital audio," International Journal of Theoretical Physics, vol.55,no.3,pp.1622-164.2016. https://doi.org/10.1007/s10773-015-2800-2.
[7] F. Yan, A. M. Iliyasu, Y. Guo, and H. Yang, "Flexible representation and manipulation of audio signals on quantum computers," Theoretical Computer Science, vol.752,pp.7185,2018.https://doi.org/10.1016/j.tcs.2017.12.025.
[8] P. Li, B. Wang, H. Xiao, and X. Liu, "Quantum Representation and Basic Operations of Digital Signals," International Journal of Theoretical Physics, vol. 57, no. 10, pp. 3242-3270, 2018. https://doi.org/10.1007/s10773-018-3841-0.
[9] E. Şahin and İ. Yilmaz, "QRMA: quantum representation of multichannel audio," Quantum Information Processing, vol. 18 no. 7, p. 209, 2019. https://doi.org/10.1007/s11128-019-2317-3.
[10] J. Chaharlang, M. Mosleh, and S. R. Heikalabad, "Proposing a New and Comprehensive Method for Quantum Representation of Digital Audio Signals," electronics and cyber defense, vol. 8, no. 4, pp. 139-152, 2021.( In Persian)
[11] 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, no. 2, pp. 476-494, 2018. https://doi.org/10.1007/s10773-017-3580-7.
[12] J. Chaharlang, M. Mosleh, and S. R. Heikalabad, "A Novel Quantum Audio Steganography–Steganalysis Approach Using LSFQ-Based Embedding and QKNN-Based Classifier," Circuits, Systems, and Signal Processing,pp.1-33,2020.
https://doi.org/10.1007/s00034-020-01345-6.
[13] R. Bohme and R. Bèohme, Advanced statistical steganalysis. Springer Berlin, 2010. http://dx.doi.org/10.1007/978-3-642-14313-7.
[14] J. Chaharlang, M. Mosleh, and S. Rasouli-Heikalabad, "A novel quantum steganography-Steganalysis system for audio signals," Multimedia Tools and Applications, pp. 1-27, 2020. https://doi.org/10.1007/s11042-020-08694-z.
[15] M. Schuld, I. Sinayskiy, and F. Petruccione, "Quantum computing for pattern classification," in Pacific Rim International Conference on Artificial Intelligence,2014:Springer,pp.208220.https://doi.org/10.48550/arXiv.1412.3646.
[16] S. Norouzi Larki, M. Mosleh, and M. Kheyrandish, "Quantum Audio Steganalysis Based on Quantum Fourier Transform and Deutsch–Jozsa Algorithm," Circuits, Systems, and Signal Processing, pp. 1-24, 2022.
https://doi.org/10.1007/s00034-022-02208-y.
[17] P. Rebentrost, M. Mohseni, and S. Lloyd, "Quantum support vector machine for big data classification," Physical review letters, vol. 113, no. 13, p. 130503, 2014.
ttps://doi.org/10.1103/PhysRevLett.113.130503.
[18] V. Vedral, A. Barenco, and A. Ekert, "Quantum networks for elementary arithmetic operations," Physical Review A, vol. 54, no. 1, p. 147, 1996.
https://doi.org/10.48550/arXiv.quant-ph/9511018.
[19] Y. Takahashi and N. Kunihiro, "A linear-size quantum circuit for addition with no ancillary qubits," Quantum Information & Computation, vol. 5, no. 6, pp. 440-448, 2005.
[20] S. Tang, "The principle of computer composition," Higher Education Process, Beijing, pp. 258-269, 2008.
[21] M. A. Nielsen and I. L. Chuang, "Quantum computation and quantum information," American journal of physics, vol. 26, no. 4, pp. 37, 219, 2010.
http://dx.doi.org/10.1080/17445760500355678.
[22] A. Galindo and M. A. Martin-Delgado, "Information and computation: Classical and quantum aspects," Reviews of Modern Physics, vol. 74, no. 2, p. 347, 2002.
https://doi.org/10.1103/RevModPhys.74.347.
[23] C.-Y. Pang, R.-G. Zhou, B.-Q. Hu, W. Hu, and A. El-Rafei, "Signal and image compression using quantum discrete cosine transform," Information Sciences, vol. 473, pp. 121-141, 2019 . https://doi.org/10.1016/j.ins.2018.08.067.
[24] J. Suykens, "K, and Vandewalle, J,(1999)," Least squares support vector machine classifiers. In: Neural Processing Letters,vol.9,pp.293-300. https://doi.org/10.1023/A:1018628609742.
[25] D. Anguita, S. Ridella, F. Rivieccio, and R. Zunino, "Hyperparameter design criteria for support vector classifiers," Neurocomputing, vol. 55, no. 1-2, pp. 109-134, 2003. https://doi.org/10.1016/S0925-2312(03)00430-2.
[26] A. W. Harrow, A. Hassidim, and S. Lloyd, "Quantum algorithm for linear systems of equations," Physical review letters, vol. 103, no. 15, p. 150502, 2009.
https://doi.org/10.1103/PhysRevLett.103.150502.
[27] S. Lloyd, M. Mohseni, and P. Rebentrost, "Quantum principal component analysis," Nature Physics, vol. 10, no. 9, pp. 631-633, 2014. https://doi.org/10.1038/nphys3029.
[28] R. C. Gonzales and R. E. Woods, "Digital image processing," ed: Prentice hall New Jersey, 2002.
[29] Q. Liu, A. H. Sung, and M. Qiao, "Temporal derivative-based spectrum and mel-cepstrum audio steganalysis," IEEE Transactions on Information Forensics and Security, vol.4,no.3,pp.359-368,2009. https://doi.org/10.1109/TIFS.2009.2024718.
[30] Y. Wei, L. Guo, Y. Wang, and C. Wang, "A blind audio steganalysis based on feature fusion," Journal of Electronics (China),vol.28,no.3,pp.265-276,2011. https://doi.org/10.1007/s11767-011-0567-z.
[31] P. Rao, "Audio signal processing," in Speech, audio, image and biomedical signal processing using neural networks: Springer, 2008, pp. 169-189. https://doi.org/10.1007/978-3-540-75398-8_8.
[32] F. Yan, K. Chen, A. M. Iliyasu, and K. Hirota, "Circuit-based modular implementation of quantum ghost imaging," IEEE Access,vol.8,pp.23054-23068,2020. https://doi.org/10.1109/ACCESS.2020.2970016.