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  [1]      M. A. Nielsen and I. Chuang, “Quantum computation and quantum information,” ed: AAPT, 2002.##

  [2]      P. W. Shor, “Algorithms for quantum computation: Discrete logarithms and factoring,” in Foundations of Computer Science, 1994 Proceedings, 35th Annual Symposium on, Ieee, pp. 124-134, 1994.##

  [3]      L. K. Grover, “A fast quantum mechanical algorithm for database search,” in Proceedings of the      twenty-eighth annual ACM symposium on Theory of computing, ACM, pp. 212-219, 1996.##

  [4]      D. Stranneby, “Digital signal processing and applications,” Elsevier, 2004.##

  [5]      S. E. Venegas-Andraca and S. Bose, “Storing, processing, and retrieving an image using quantum mechanics,” in Quantum Information and Computation, vol. 5105: International Society for Optics and Photonics, pp. 137-148, 2003.##

  [6]      S. E. Venegas-Andraca and J. Ball, “Processing images in entangled quantum systems,” Quantum Information Processing, vol. 9, no. 1, pp. 1-11, 2010.##

  [7]      J. I. Latorre, “Image compression and entanglement,” arXiv preprint quant-ph/0, 510031, 2005.##

  [8]      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. 63-84, 2011.##

  [9]      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.##

[10]      K. Liu, Y. Zhang, K. Lu, X. Wang, and X. Wang, “An Optimized Quantum Representation for Color Digital Images,” International Journal of Theoretical Physics, pp. 1-11, 2018.##

[11]      B. Sun, A. M. Iliyasu, F. Yan, F. Dong, and K. Hirota, “An RGB multi-channel representation for images on quantum computers,” Journal of Advanced Computational Intelligence and Intelligent Informatics, vol. 17, no. 3, pp. 404-417, 2013.##

[12]      E. Şahin and I. Yilmaz, “QRMW: quantum representation of multi wavelength images,” Turkish Journal of Electrical Engineering & Computer Sciences, vol. 26, no. 2, pp. 768-779, 2018.##

[13]      J. Wang, “QRDA: quantum representation of digital audio,” International Journal of Theoretical Physics, vol. 55, no. 3, pp. 1622-1641, 2016.##

[14]      F. Yan, A. M. Iliyasu, Y. Guo, and H. Yang, “Flexible representation and manipulation of audio signals on quantum computers,” Theoretical Computer Science, 2017.##

[15]      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.##

[16]      P. Li, B. Wang, H. Xiao, and X. J. I. J. O. T. P. Liu, “Quantum Representation and Basic Operations of Digital Signals,” vol. 57, no. 10, pp. 3242-3270, 2018.##

[17]      E. Şahin and İ. Yilmaz, “QRMA: quantum representation of multichannel audio,” Quantum Information Processing, vol. 18, no. 7, p. 209, 2019.##

[18]      E. Şahin and I. Yilmaz, “QRMW: quantum representation of multi wavelength images,” Turkish Journal of Electrical Engineering Computer Sciences  vol. 26, no. 2, pp. 768-779, 2018.##

[19]      F. Yan, A. M. Iliyasu, Y. Guo, and H. J. T. C. S. Yang, “Flexible representation and manipulation of audio signals on quantum computers,” vol. 752, pp. 71-85, 2018.##

[20]       G. Yang, X. Song, W. N. Hung, F. Xie, and M. A. Perkowski, “Group theory based synthesis of binary reversible circuits,” in International Conference on Theory and Applications of Models of Computation, Springer, pp. 365-374, 2006.##

[21]   R. K. Brayton, G. D. Hachtel, C. McMullen, and A. Sangiovanni-Vincentelli, “Logic minimization algorithms for VLSI synthesis,” Springer Science & Business Media, 1984.##