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Quantum image classification using principal component analysis

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We present a novel quantum algorithm for the classification of images. The algorithm is constructed using principal component analysis and von Neuman quantum measurements. In order to apply the algorithm we present a new quantum representation of grayscale images.
Rocznik
Strony
1--12
Opis fizyczny
Bibliogr. 19 poz., rys.
Twórcy
  • Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Bałtycka 5, 44-100 Gliwice, Poland
  • Institute of Mathematics, Silesian University of Technology, Kaszubska 23, Gliwice 44-100, Poland
autor
  • Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Bałtycka 5, 44-100 Gliwice, Poland
autor
  • Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Bałtycka 5, 44-100 Gliwice, Poland
Bibliografia
  • [1] D. Bacon and W. Van Dam. Recent progress in quantum algorithms. Commun. ACM, 53(2):84-93, 2010. DOI: 10.1145/1646353.1646375.
  • [2] A. Ambainis. Recent developments in quantum algorithms and complexity. In Descriptional Complexity of Formal Systems, pages 1-4. Springer, 2014. DOI: 10.1007/978-3-319-09704-6 1.
  • [3] S. Lloyd, M. Mohseni, and P. Rebentrost. Quantum algorithms for supervised and unsupervised machine learning. arXiv:1307.0411, 2013.
  • [4] M. Schuld, I. Sinayskiy, and F. Petruccione. An introduction to quantum machine learning. Contemp. Phys., 56(2):172-185, 2015. DOI: 10.1080/00107514.2014.964942.
  • [5] S. Venegas-Andraca and S. Bose. Storing, processing, and retrieving an image using quantum mechanics. In AeroSense 2003, pages 137-147. International Society for Optics and Photonics, 2003.
  • [6] J.I. Latorre. Image compression and entanglement. arXiv:quant-ph/0510031, 2005.
  • [7] Y. Zhang, K. Lu, Y. Gao, and M. Wang. Neqr: a novel enhanced quantum representation of digital images. Quantum Inf. Process, 12(8):2833-2860, 2013. DOI: 10.1007/s11128-013-0567-z.
  • [8] M.A Nielsen and I.L. Chuang. Quantum computation and quantum information. Cambridge University Press, Cambridge, U.K., 2010. DOI: 10.1017/CBO9780511976667.
  • [9] A. Klappenecker and M. Rotteler. Discrete cosine transforms on quantum computers. In Image and Signal Processing and Analysis, 2001. ISPA 2001. Proceedings of the 2nd International Symposium on, pages 464-468. IEEE, 2001.
  • [10] C.-Ch. Tseng and T.-M. Hwang. Quantum circuit design of 8 x 8 discrete cosine transform using its fast computation International Symposium on, pages 828-831. IEEE, 2005.
  • [11] A. Fijany and C.P. Williams. Quantum wavelet transforms: Fast algorithms and complete circuits. In Quantum Computing and Quantum Communications: First NASA International Conference, QCQC'98, Palm Springs, California, USA, February 17-20, 1998, Selected Papers, page 10. Springer, 2003. DOI: 10.1007/3-540-49208-9 2.
  • [12] D. Curtis and D.A. Meyer. Towards quantum template matching. In Optical Science and Technology, SPIE's 48th Annual Meeting, pages 134-141. International Society for Optics and Photonics, 2004.
  • [13] P.Q. Le, A.M. Iliyasu, F. Dong, and K. Hirota. Strategies for designing geometric transformations on quantum images. Theor. Comput. Sci., 412(15):1406-1418, 2011. DOI: 10.1016/j.tcs.2010.11.029.
  • [14] P.Q. Le, A.M. Iliyasu, F. Dong, and K. Hirota. Fast geometric transformations on quantum images. IAENG Int. J. Appl. Math, 40(3):113-123, 2010.
  • [15] S. Yuan, X. Mao, L. Chen, and Y. Xue. Quantum digital image processing algorithms based on quantum measurement. Optik, 124(23):6386-6390, 2013. DOI: 10.1016/j.ijleo.2013.05.063.
  • [16] S. Yuan, X. Mao, Y. Xue, L. Chen, Q. Xiong, and A. Compare. SQR: a simple quantum representation of infrared images. Quantum Inf. Process, 13(6):1353-1379, 2014. DOI:10.1007/s11128-014-0733-y.
  • [17] J. Wang, N. Jiang, and L. Wang. Quantum image translation. Quantum Inf. Process, 14(5):1589-1604, 2015. DOI: 10.1007/s11128-014-0843-6.
  • [18] R.-G. Zhou and Y.-J. Sun. Quantum multidimensional color images similarity comparison. Quantum Inf. Process, 14(5):1605-1624, 2015. DOI: 10.1007/s11128-014-0849-0.
  • [19] M.A. Turk and A.P. Pentland. Face recognition using eigenfaces. In Computer Vision and Pattern Recognition, 1991. Proceedings CVPR'91., IEEE Computer Society Conference on, pages 586-591. IEEE, 1991. DOI: 10.1109/CVPR.1991.139758.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-28d64ba9-85bb-4ea7-8803-d05e07dc9356
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