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Stefan cel Mare
University of Suceava
Faculty of Electrical Engineering and
Computer Science
13, Universitatii Street
Suceava - 720229
ROMANIA

Print ISSN: 1582-7445
Online ISSN: 1844-7600
WorldCat: 643243560
doi: 10.4316/AECE


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  3/2013 - 13

 HIGH-IMPACT PAPER 

Quantum Image Filtering in the Frequency Domain

CARAIMAN, S. See more information about CARAIMAN, S. on SCOPUS See more information about CARAIMAN, S. on IEEExplore See more information about CARAIMAN, S. on Web of Science, MANTA, V. I. See more information about MANTA, V. I. on SCOPUS See more information about MANTA, V. I. on SCOPUS See more information about MANTA, V. I. on Web of Science
 
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Download PDF pdficon (708 KB) | Citation | Downloads: 1,482 | Views: 6,437

Author keywords
quantum image processing, quantum Fourier transform, quantum oracle, image filtering

References keywords
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

Abstract
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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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Cited-By CrossRef

[1] Quantum image processing: challenges and future research issues, Chakraborty, Sanjay, Mandal, Sudhindu Bikash, Shaikh, Soharab Hossain, International Journal of Information Technology, ISSN 2511-2104, Issue 1, Volume 14, 2022.
Digital Object Identifier: 10.1007/s41870-018-0227-8
[CrossRef]

[2] Quantum 3D FFT in Tomography, Koukiou, Georgia, Anastassopoulos, Vassilis, Applied Sciences, ISSN 2076-3417, Issue 6, Volume 13, 2023.
Digital Object Identifier: 10.3390/app13064009
[CrossRef]

[3] Quantum pixel representations and compression for N-dimensional images, Amankwah, Mercy G., Camps, Daan, Bethel, E. Wes, Van Beeumen, Roel, Perciano, Talita, Scientific Reports, ISSN 2045-2322, Issue 1, Volume 12, 2022.
Digital Object Identifier: 10.1038/s41598-022-11024-y
[CrossRef]

[4] Restoration for Noise Removal in Quantum Images, Liu, Kai, Zhang, Yi, Lu, Kai, Wang, Xiaoping, International Journal of Theoretical Physics, ISSN 0020-7748, Issue 9, Volume 56, 2017.
Digital Object Identifier: 10.1007/s10773-017-3455-y
[CrossRef]

[5] A secure controlled quantum image steganography scheme based on the multi-channel effective quantum image representation model, Khan, Mubashar, Rasheed, Amer, Quantum Information Processing, ISSN 1573-1332, Issue 7, Volume 22, 2023.
Digital Object Identifier: 10.1007/s11128-023-04022-0
[CrossRef]

[6] Advances in the Quantum Theoretical Approach to Image Processing Applications, Abura'ed, Nour, Khan, Faisal Shah, Bhaskar, Harish, ACM Computing Surveys, ISSN 0360-0300, Issue 4, Volume 49, 2017.
Digital Object Identifier: 10.1145/3009965
[CrossRef]

[7] Introduction to multiplicative group on 2-qubits in quantum color image processing, Grigoryan, Artyom M., Agaian, Sos S., Quantum Information Processing, ISSN 1573-1332, Issue 9, Volume 22, 2023.
Digital Object Identifier: 10.1007/s11128-023-04091-1
[CrossRef]

[8] Quantum Image Weighted Average Filtering in Spatial Domain, Li, Panchi, Liu, Xiande, Xiao, Hong, International Journal of Theoretical Physics, ISSN 0020-7748, Issue 11, Volume 56, 2017.
Digital Object Identifier: 10.1007/s10773-017-3533-1
[CrossRef]

[9] Quantum Image Filtering in the Spatial Domain, Yuan, Suzhen, Mao, Xuefeng, Zhou, Jing, Wang, Xiaofa, International Journal of Theoretical Physics, ISSN 0020-7748, Issue 8, Volume 56, 2017.
Digital Object Identifier: 10.1007/s10773-017-3403-x
[CrossRef]

[10] Quantum image median filtering in the spatial domain, Li, Panchi, Liu, Xiande, Xiao, Hong, Quantum Information Processing, ISSN 1570-0755, Issue 3, Volume 17, 2018.
Digital Object Identifier: 10.1007/s11128-018-1826-9
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[11] A new cryptography algorithm for quantum images, Naseri, Mosayeb, Abdolmaleky, Mona, Laref, Amel, Parandin, Fariborz, Celik, Turgay, Farouk, Ahmed, Mohamadi, Masoumeh, Jalalian, Hesam, Optik, ISSN 0030-4026, Issue , 2018.
Digital Object Identifier: 10.1016/j.ijleo.2018.06.113
[CrossRef]

[12] Scaling up and down of 3-D floating-point data in quantum computation, Xu, Meiyu, Lu, Dayong, Sun, Xiaoyun, Scientific Reports, ISSN 2045-2322, Issue 1, Volume 12, 2022.
Digital Object Identifier: 10.1038/s41598-022-06756-w
[CrossRef]

[13] The Potential of Quantum Computing for Geoscience, Sahimi, Muhammad, Tahmasebi, Pejman, Transport in Porous Media, ISSN 0169-3913, Issue 2, Volume 145, 2022.
Digital Object Identifier: 10.1007/s11242-022-01855-8
[CrossRef]

[14] Multiplicative group of quantum representations of signals, Grigoryan, Artyom M., Agaian, Sos S., Quantum Information Processing, ISSN 1573-1332, Issue 1, Volume 22, 2023.
Digital Object Identifier: 10.1007/s11128-022-03765-6
[CrossRef]

[15] Quantum Windowed Fourier Transform and its Application to Quantum Signal Processing, Yin, Haiting, Lu, Dayong, Zhang, Rui, International Journal of Theoretical Physics, ISSN 0020-7748, Issue 10, Volume 60, 2021.
Digital Object Identifier: 10.1007/s10773-021-04933-7
[CrossRef]

[16] Introductory words: Special issue on quantum image processing published by Quantum Information Processing, Venegas-Andraca, Salvador Elías, Quantum Information Processing, ISSN 1570-0755, Issue 5, Volume 14, 2015.
Digital Object Identifier: 10.1007/s11128-015-1001-5
[CrossRef]

[17] A survey of quantum image representations, Yan, Fei, Iliyasu, Abdullah M., Venegas-Andraca, Salvador E., Quantum Information Processing, ISSN 1570-0755, Issue 1, Volume 15, 2016.
Digital Object Identifier: 10.1007/s11128-015-1195-6
[CrossRef]

[18] Quantum medical images processing foundations and applications, Elaraby, Ahmed, IET Quantum Communication, ISSN 2632-8925, Issue 4, Volume 3, 2022.
Digital Object Identifier: 10.1049/qtc2.12049
[CrossRef]

[19] Quantum image processing?, Mastriani, Mario, Quantum Information Processing, ISSN 1570-0755, Issue 1, Volume 16, 2017.
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[CrossRef]

[20] An Image Denoising Technique using Quantum Wavelet Transform, Chakraborty, Sanjay, Shaikh, Soharab Hossain, Chakrabarti, Amlan, Ghosh, Ranjan, International Journal of Theoretical Physics, ISSN 0020-7748, Issue 11, Volume 59, 2020.
Digital Object Identifier: 10.1007/s10773-020-04590-2
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[21] Lessons from Twenty Years of Quantum Image Processing, Yan, Fei, Venegas-Andraca, Salvador E., ACM Transactions on Quantum Computing, ISSN 2643-6809, 2024.
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[CrossRef]

[22] Quantum image mid-point filter, Ali, Abdalla Essam, Abdel-Galil, Hala, Mohamed, Soha, Quantum Information Processing, ISSN 1570-0755, Issue 8, Volume 19, 2020.
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[23] Velocity Filtering Using Quantum 3D FFT, Koukiou, Georgia, Anastassopoulos, Vassilis, Photonics, ISSN 2304-6732, Issue 5, Volume 10, 2023.
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[24] Image segmentation on a quantum computer, Caraiman, Simona, Manta, Vasile I., Quantum Information Processing, ISSN 1570-0755, Issue 5, Volume 14, 2015.
Digital Object Identifier: 10.1007/s11128-015-0932-1
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[25] Quantum Algorithm for Signal Denoising, Dutta, Sayantan, Basarab, Adrian, Kouamé, Denis, Georgeot, Bertrand, IEEE Signal Processing Letters, ISSN 1070-9908, Issue , 2024.
Digital Object Identifier: 10.1109/LSP.2023.3344071
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[26] Quantum color image median filtering in the spatial domain: theory and experiment, Yuan, Suzhen, Qing, Xianrong, Hang, Bo, Qu, Hong, Quantum Information Processing, ISSN 1573-1332, Issue 9, Volume 21, 2022.
Digital Object Identifier: 10.1007/s11128-022-03660-0
[CrossRef]

[27] Image processing using the quantum quaternion Fourier transform, Bayro‐Corrachono, Eduardo, Vazquez‐Flores, Zuleima, Mathematical Methods in the Applied Sciences, ISSN 0170-4214, Issue 3, Volume 47, 2024.
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[28] Design and implementation of a multivalued quantum circuit for threshold based color image segmentation, Chakraborty, Sanjay, Mandal, Sudhindu Bikash, Shaikh, Soharab Hossain, Intelligent Decision Technologies, ISSN 1872-4981, Issue 2, Volume 12, 2018.
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[29] QRCI: A new quantum representation model of color digital images, Wang, Ling, Ran, Qiwen, Ma, Jing, Yu, Siyuan, Tan, Liying, Optics Communications, ISSN 0030-4018, Issue , 2019.
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Digital Object Identifier: 10.1007/s10773-019-04103-w
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[31] Quantum Watermarking Based on Neighbor Mean Interpolation and LSB Steganography Algorithms, Hu, WenWen, Zhou, Ri-Gui, Li, YaoChong, International Journal of Theoretical Physics, ISSN 0020-7748, Issue 7, Volume 58, 2019.
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[32] Breast Sentinel Lymph Node Cancer Detection from Mammographic Images Based on Quantum Wavelet Transform and an Atrous Pyramid Convolutional Neural Network, Qasim, Mohammed N., Mohammed, Tareq Abed, Bayat, Oguz, Qian, Pengjiang, Scientific Programming, ISSN 1875-919X, Issue , 2022.
Digital Object Identifier: 10.1155/2022/1887613
[CrossRef]

[33] Quantum image rotation by an arbitrary angle, Yan, Fei, Chen, Kehan, Venegas-Andraca, Salvador E., Zhao, Jianping, Quantum Information Processing, ISSN 1570-0755, Issue 11, Volume 16, 2017.
Digital Object Identifier: 10.1007/s11128-017-1733-5
[CrossRef]

[34] An Improved Filtering Method for Quantum Color Image in Frequency Domain, Li, Panchi, Xiao, Hong, International Journal of Theoretical Physics, ISSN 0020-7748, Issue 1, Volume 57, 2018.
Digital Object Identifier: 10.1007/s10773-017-3561-x
[CrossRef]

[35] Development of High Performance Quantum Image Algorithm on Constrained Least Squares Filtering Computation, Wang, Shumei, Xu, Pengao, Song, Ruicheng, Li, Peiyao, Ma, Hongyang, Entropy, ISSN 1099-4300, Issue 11, Volume 22, 2020.
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[CrossRef]

[36] Signal Analysis-Synthesis Using the Quantum Fourier Transform, Sharma, Aradhita, Uehara, Glen, Narayanaswamy, Vivek, Miller, Leslie, Spanias, Andreas, ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), ISBN 978-1-7281-6327-7, 2023.
Digital Object Identifier: 10.1109/ICASSP49357.2023.10096524
[CrossRef]

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