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Quantum Image Filtering in the Frequency DomainCARAIMAN, S. , MANTA, V. I.
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quantum image processing, quantum Fourier transform, quantum oracle, image filtering
quantum(28), images(7), computation(6), processing(5), image(5), hirota(5), dong(5), quant(4), iliyasu(4)
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About this article
Date of Publication: 2013-08-31
Volume 13, Issue 3, Year 2013, On page(s): 77 - 84
ISSN: 1582-7445, e-ISSN: 1844-7600
Digital Object Identifier: 10.4316/AECE.2013.03013
Web of Science Accession Number: 000326321600013
SCOPUS ID: 84884914407
In this paper we address the emerging field of Quantum Image Processing. We investigate the use of quantum computing systems to represent and manipulate images. In particular, we consider the basic task of image filtering. We prove that a quantum version for this operation can be achieved, even though the quantum convolution of two sequences is physically impossible. In our approach we use the principle of the quantum oracle to implement the filter function. We provide the quantum circuit that implements the filtering task and present the results of several simulation experiments on grayscale images. There are important differences between the classical and the quantum implementations for image filtering. We analyze these differences and show that the major advantage of the quantum approach lies in the exploitation of the efficient implementation of the quantum Fourier transform.
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| D. R. Simon, "On the Power of Quantum Computation", SIAM J. Comput. 26, 5, pp. 1474-1483, 1997, |
[CrossRef] [Web of Science Times Cited 263] [SCOPUS Times Cited 298]
 D. Deutsch and R. Jozsa, "Rapid Solution of Problems by Quantum Computation", Proc. R. Soc. Lond. A, 439, pp. 553-558, 1992,
[CrossRef] [Web of Science Times Cited 985]
 E. Bernstein and U. Vazirani, "Quantum Complexity Theory", SIAM J. Comput. 26, 5 pp. 1411-1473, 1997,
[CrossRef] [Web of Science Times Cited 443] [SCOPUS Times Cited 518]
 P. Shor, "Algorithms For Quantum Computation: Discrete Logarithms and Factoring", in: SFCS '94: Proc. of the 35th Annual Symposium on Foundations of Computer Science, IEEE Computer Society, 1994, pp. 124-134,
 A. Fijany, C. Williams, "Quantum Wavelet Transform: Fast Algorithm and Complete Circuits", arXiv:quant-ph/9809004, 1998.
 A. Klappenecker, M. Roetteler, "Discrete Cosine Transforms on Quantum Computers", arXiv:quant-ph/0111038, 2001.
 C. C. Tseng, T. M. Hwang, "Quantum Circuit Design of 8x8 Discrete Cosine Transform Using Its Fast Computation Flow Graph", in: Circuits and Systems, 2005. ISCAS 2005. IEEE International Symposium on, pp. 828-831 Vol. 1,
 S. Venegas-Andraca and S. Bose, "Storing, Processing and Retrieving an Image Using Quantum Mechanics," in Proc. of the SPIE Conf. Quantum Information and Computation, 2003, pp. 137-147,
[CrossRef] [Web of Science Times Cited 65] [SCOPUS Times Cited 111]
 P. Le, F. Dong, and K. Hirota, "A Flexible Representation of Quantum Images for Polynomial Preparation, Image Compression, and Processing Operations," Quantum Inf. Process., vol. 10, pp. 63-84, 2011,
[CrossRef] [Web of Science Times Cited 106] [SCOPUS Times Cited 149]
 P. Q. Le, A. M. Iliyasu, F. Dong, K. Hirota, "Strategies for Designing Geometric Transformations on Quantum Images", Theor. Comput. Sci. 412 (2011), 1406-1418,
[CrossRef] [Web of Science Times Cited 36] [SCOPUS Times Cited 49]
 P. Q. Le, A. M. Iliyasu, F. Dong, K. Hirota, "Efficient Color Transformations on Quantum Images", JACIII 15 (2011) 698-706.
 F. Yan, P. Q. Le, A. M. Iliyasu, B. Sun, J. A. Garcia, F. Dong and K. Hirota, "Assessing the Similarity of Quantum Images Based on Probability Measurements," 2012 IEEE World Congress on Computational Intelligence, Brisbane, 10-15 June 2012, pp. 1-6,
[CrossRef] [SCOPUS Times Cited 22]
 A. M. Iliyasu, P. Q. Le, F. Dong, and K. Hirota, "Watermarking and authentication of quantum images based on restricted geometric transformations". Inf. Sci. 186, 1, pp. 126-149, 2012,
[CrossRef] [Web of Science Times Cited 67] [SCOPUS Times Cited 90]
 W. Zhang, F. Gao, B. Liu, Q. Wen, and H. Chen, "A watermark strategy for quantum images based on quantum Fourier transform" Quantum Inf. Process. 12, 2, pp. 793-803, 2013,
[CrossRef] [Web of Science Times Cited 66] [SCOPUS Times Cited 69]
 G. Beach, C. Lomont, C. Cohen, "Quantum Image Processing (QuIP)", in: Proc. of 32nd Workshop on Applied Imagery Pattern Recognition, 2003, pp. 39-44,
[CrossRef] [SCOPUS Times Cited 36]
 L. K. Grover, "A Fast Quantum Mechanical Algorithm for Database Search", in: Proc. of the 28th annual ACM Symposium on Theory of Computing, STOC '96, ACM, New York, NY, USA, 1996, pp. 212-219,
[CrossRef] [SCOPUS Times Cited 1895]
 S. Venegas-Andraca, J. Ball, "Processing Images in Entangled Quantum Systems", Quantum Inf. Process. 9 (2010) 1-11,
[CrossRef] [Web of Science Times Cited 86] [SCOPUS Times Cited 99]
 J. Latorre, "Image Compression and Entanglement", arXiv:quantph/0510031, 2005.
 C. Lomont, "Quantum Convolution and Quantum Correlation Algorithms Are Physically Impossible," arXiv:quant-ph/0309070, 2003.
 M. Nielsen and I. Chuang, "Quantum Computation and Quantum Information", Cambridge Series on Information and the Natural Sciences. Cambridge, UK: Cambridge University Press, 2000
 G. Brassard, P. Hoyer, M. Mosca, A. Tapp, "Quantum Amplitude Amplification and Estimation", arXiv:quant-ph/0005055, 2000.
 S. Caraiman and V. Manta, "Image Processing Using Quantum Computing", 16th International Conference on System Theory, Control and Computing (ICSTCC), Sinaia, 12-14 October 2012, pp. 1-6.
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