Quantum realization of the bilinear interpolation method for NEQR

Abstract In recent years, quantum image processing is one of the most active fields in quantum computation and quantum information. Image scaling as a kind of image geometric transformation has been widely studied and applied in the classical image processing, however, the quantum version of which d...

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Autores principales:	Ri-Gui Zhou, Wenwen Hu, Ping Fan, Hou Ian
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/025337d83ab047afbcf2722aa277dab0
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spelling	oai:doaj.org-article:025337d83ab047afbcf2722aa277dab02021-12-02T11:52:20ZQuantum realization of the bilinear interpolation method for NEQR10.1038/s41598-017-02575-62045-2322https://doaj.org/article/025337d83ab047afbcf2722aa277dab02017-05-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-02575-6https://doaj.org/toc/2045-2322Abstract In recent years, quantum image processing is one of the most active fields in quantum computation and quantum information. Image scaling as a kind of image geometric transformation has been widely studied and applied in the classical image processing, however, the quantum version of which does not exist. This paper is concerned with the feasibility of the classical bilinear interpolation based on novel enhanced quantum image representation (NEQR). Firstly, the feasibility of the bilinear interpolation for NEQR is proven. Then the concrete quantum circuits of the bilinear interpolation including scaling up and scaling down for NEQR are given by using the multiply Control-Not operation, special adding one operation, the reverse parallel adder, parallel subtractor, multiplier and division operations. Finally, the complexity analysis of the quantum network circuit based on the basic quantum gates is deduced. Simulation result shows that the scaled-up image using bilinear interpolation is clearer and less distorted than nearest interpolation.Ri-Gui ZhouWenwen HuPing FanHou IanNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-17 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Ri-Gui Zhou Wenwen Hu Ping Fan Hou Ian Quantum realization of the bilinear interpolation method for NEQR
description	Abstract In recent years, quantum image processing is one of the most active fields in quantum computation and quantum information. Image scaling as a kind of image geometric transformation has been widely studied and applied in the classical image processing, however, the quantum version of which does not exist. This paper is concerned with the feasibility of the classical bilinear interpolation based on novel enhanced quantum image representation (NEQR). Firstly, the feasibility of the bilinear interpolation for NEQR is proven. Then the concrete quantum circuits of the bilinear interpolation including scaling up and scaling down for NEQR are given by using the multiply Control-Not operation, special adding one operation, the reverse parallel adder, parallel subtractor, multiplier and division operations. Finally, the complexity analysis of the quantum network circuit based on the basic quantum gates is deduced. Simulation result shows that the scaled-up image using bilinear interpolation is clearer and less distorted than nearest interpolation.
format	article
author	Ri-Gui Zhou Wenwen Hu Ping Fan Hou Ian
author_facet	Ri-Gui Zhou Wenwen Hu Ping Fan Hou Ian
author_sort	Ri-Gui Zhou
title	Quantum realization of the bilinear interpolation method for NEQR
title_short	Quantum realization of the bilinear interpolation method for NEQR
title_full	Quantum realization of the bilinear interpolation method for NEQR
title_fullStr	Quantum realization of the bilinear interpolation method for NEQR
title_full_unstemmed	Quantum realization of the bilinear interpolation method for NEQR
title_sort	quantum realization of the bilinear interpolation method for neqr
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/025337d83ab047afbcf2722aa277dab0
work_keys_str_mv	AT riguizhou quantumrealizationofthebilinearinterpolationmethodforneqr AT wenwenhu quantumrealizationofthebilinearinterpolationmethodforneqr AT pingfan quantumrealizationofthebilinearinterpolationmethodforneqr AT houian quantumrealizationofthebilinearinterpolationmethodforneqr
_version_	1718395084151455744

Quantum realization of the bilinear interpolation method for NEQR

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