Multi-Channel Information Operations on Quantum Images
Bo Sun*, Abdullah M. Iliyasu*,**, Fei Yan*,
Jesus A. Garcia Sanchez*, Fangyan Dong*, Awad Kh. Al-Asmari**,
and Kaoru Hirota*
*Hirota Lab., Department of Computational Intelligence and Systems Science, Tokyo Institute of Technology, G3-49, 4259 Nagatsuta, Midori-ku, Yokohama 226-8502, Japan
**College of Engineering, Salman Bin Abdulaziz University, Al Kharj 11942, Kingdom of Saudi Arabia
Quantum circuits to realize color operations of channel of interest, channel swapping, and alpha blending on images are proposed using five kinds of quantum gates, i.e., NOT, CNOT, Toffoli, Rotation, and Controlled Rotation gates. Complexities of the proposed circuits are for an N-sized image, whereas the color information must be transformed pixel by pixel in the case of operators on classical computers. Simulations on the proposed three quantum color operations using three human facial and one Japanese style house images demonstrate that at most 9, 3, and 5 basic quantum gates are requested, that shows the feasibility of quantum circuits. Based on proposed three operations, all invertible classical color information transformation on imagesmay be designed and many applications can be realized on quantum computer, and the channel of interest based watermarking is being researched which the experiment results show that from the point of PSNR, our proposal is about 10 dB better than the chosen method of quantum image watermarking.
Jesus A. Garcia Sanchez, Fangyan Dong, Awad Kh. Al-Asmari, and
and Kaoru Hirota, “Multi-Channel Information Operations on Quantum Images,” J. Adv. Comput. Intell. Intell. Inform., Vol.18, No.2, pp. 140-149, 2014.
-  R.P. Feynman, “Simulating physics with computers,” Int. J. of Theoretical Physics, Vol.21, No.6, pp. 467-488, 1982.
-  M. Nagy and S. G. Akl, “Quantum computation and quantum information,” The Int. J. of Parallel, Emergent and Distributed Systems, Vol.21, No.1, pp. 1-59, 2006.
-  A. Fijany and C. Williams, “Quantum wavelet transforms: Fast algorithms and complete circuits,” Quantum Computing and Quantum Communications, pp. 10-33, 1999.
-  A. Klappenecker and M. Rotteler, “Discrete cosine transforms on quantum computers,” Proc. of the 2nd Int. Symp. on Image and Signal Processing and Analysis 2001 (ISPA 2001), pp. 464-468, 2001.
-  C. C. Tseng and T.M. Hwang, “Quantum circuit design of 8× 8 discrete cosine transform using its fast computation flow graph,” IEEE Int. Symp. on Circuits and Systems 2005 (ISCAS 2005), pp. 828-831, 2005.
-  S. E. Venegas-Andraca and S. Bose, “Storing, processing and retrieving an image using quantum mechanics,” Proc. of the SPIE Conf. Quantum Information and Computation, pp. 137-147, 2003.
-  U. Mutze, “Quantum Image Dynamics – an entertainment application of separated quantum dynamics,” 2008, available at https://www.ma.u.edu/mp_arc/c/08/08-199.pdf [Accessed May 3, 2013]
-  S. E. Venegas-Andraca and J. L. Ball, “Processing images in entangled quantum systems,” Quantum Information Processing, Vol.9, No.1, pp. 1-11, 2010.
-  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.
-  B. Sun, P. Q. Le, A. M. Iliyasu, F. Yan, J. A. Garcia, F. Dong, and K. Hirota, “AMulti-Channel Representation for images on quantum computers using the RGBα color space,” IEEE 7th Int. Symp. on Intelligent Signal Processing (WISP) 2011, pp. 1-6, 2011.
-  P. Q. Le, A. M. Iliyasu, F. Dong, and K. Hirota, “Fast geometric transformations on quantum images,” IAENG Int. J. of Applied Mathematics, Vol.40, No.3, pp. 113-123, 2010.
-  P. Q. Le, A. M. Iliyasu, F. Dong, and K. Hirota, “Efficient Color Transformations on Quantum Images,” J. of Advanced Computational Intelligence and Intelligent Informatics, Vol.15, No.6, pp. 698-706, 2011.
-  A. M. Iliyasu, P. Q. Le, F. Dong, and K. Hirota, “Watermarking and authentication of quantum images based on restricted geometric transformations,” Information Sciences, Vol.186, No.1, pp. 126-149, 2012.
-  A. M. Iliyasu, P. Q. Le, F. Dong, and K. Hirota, “A framework for representing and producing movies on quantum computers,” Int. J. of Quantum Information, Vol.9, No.6, pp. 1459-1497, 2011.
-  A. R. Smith, “Alpha and the history of digital compositing,” Microsoft Tech Memo 7, Vol.24, pp. 2010, 1995, available at http://www.cs.princeton.edu/courses/archive/spring12/cos426/papers/Smith95c.pdf [Accessed May 3, 2013]
-  D.Wang, W. Jia, G. Li, and Y. Xiong, “Natural Image Composition with Inhomogeneous Boundaries,” Advances in Image and Video Technology, pp. 92-103, 2012.
-  C. D. Herrera, J. Kannala, and J. Heikkilä, “Multi-view alpha matte for free viewpoint rendering,” Computer Vision/Computer Graphics Collaboration Techniques, pp. 98-109, 2011.
-  K. N. Plataniotis and A. N. Venetsanopoulos, “Color image processing and applications,” Springer-Verlag, 2000.
-  C. Lomont, “Quantum convolution and quantum correlation algorithms are physically impossible,” Arxiv preprint quantph/0309070, 2003.
-  S. Machnes, “QLib-A Matlab Package for Quantum Information Theory Calculations with Applications,” Arxiv preprint arXiv:0708.0478, 2007.