|3/2013 - 13|
Quantum Image Filtering in the Frequency DomainCARAIMAN, S. , MANTA, V. I.
|Click to see author's profile on SCOPUS, IEEE Xplore, Web of Science|
|Download PDF (708 KB) | Citation | Downloads: 416 | Views: 2,607|
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)
Blue keywords are present in both the references section and the paper title.
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.
|References|||||Cited By «-- Click to see who has cited this paper|
| D. R. Simon, "On the Power of Quantum Computation", SIAM J. Comput. 26, 5, pp. 1474-1483, 1997, |
[CrossRef] [Web of Science Times Cited 243]
 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 936]
 E. Bernstein and U. Vazirani, "Quantum Complexity Theory", SIAM J. Comput. 26, 5 pp. 1411-1473, 1997,
[CrossRef] [Web of Science Times Cited 410]
 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 54] [SCOPUS Times Cited 98]
 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 83] [SCOPUS Times Cited 120]
 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 31] [SCOPUS Times Cited 43]
 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 53] [SCOPUS Times Cited 75]
 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 59] [SCOPUS Times Cited 60]
 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 33]
 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,
 S. Venegas-Andraca, J. Ball, "Processing Images in Entangled Quantum Systems", Quantum Inf. Process. 9 (2010) 1-11,
[CrossRef] [Web of Science Times Cited 69] [SCOPUS Times Cited 83]
 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.
Web of Science® Citations for all references: 1,938 TCR
SCOPUS® Citations for all references: 534 TCR
Web of Science® Average Citations per reference: 88 ACR
SCOPUS® Average Citations per reference: 24 ACR
TCR = Total Citations for References / ACR = Average Citations per Reference
We introduced in 2010 - for the first time in scientific publishing, the term "References Weight", as a quantitative indication of the quality ... Read more
Citations for references updated on 2017-06-22 08:52 in 99 seconds.
Note1: Web of Science® is a registered trademark of Thomson Reuters.
Note2: SCOPUS® is a registered trademark of Elsevier B.V.
Disclaimer: All queries to the respective databases were made by using the DOI record of every reference (where available). Due to technical problems beyond our control, the information is not always accurate. Please use the CrossRef link to visit the respective publisher site.
Faculty of Electrical Engineering and Computer Science
Stefan cel Mare University of Suceava, Romania
All rights reserved: Advances in Electrical and Computer Engineering is a registered trademark of the Stefan cel Mare University of Suceava. No part of this publication may be reproduced, stored in a retrieval system, photocopied, recorded or archived, without the written permission from the Editor. When authors submit their papers for publication, they agree that the copyright for their article be transferred to the Faculty of Electrical Engineering and Computer Science, Stefan cel Mare University of Suceava, Romania, if and only if the articles are accepted for publication. The copyright covers the exclusive rights to reproduce and distribute the article, including reprints and translations.
Permission for other use: The copyright owner's consent does not extend to copying for general distribution, for promotion, for creating new works, or for resale. Specific written permission must be obtained from the Editor for such copying. Direct linking to files hosted on this website is strictly prohibited.
Disclaimer: Whilst every effort is made by the publishers and editorial board to see that no inaccurate or misleading data, opinions or statements appear in this journal, they wish to make it clear that all information and opinions formulated in the articles, as well as linguistic accuracy, are the sole responsibility of the author.