WINDOWED FOURIER TRANSFORM AND GENERAL WAVELET ALGORITHMS IN QUANTUM COMPUTATION

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	WINDOWED FOURIER TRANSFORM AND GENERAL WAVELET ALGORITHMS IN QUANTUM COMPUTATION
	Ma, Guangsheng 1; Li, Hongbo2 ; Zhao, Jiman 1
刊名	QUANTUM INFORMATION & COMPUTATION
	2019-03-01
卷号	19 期号:3-4 页码:237-251
关键词	Quantum windowed Fourier transform quantum convolution quantum wavelet algorithms
ISSN号	1533-7146
英文摘要	In this paper, we define the quantum windowed Fourier transform and study some of its properties, then we develop two useful operations called quantum convolution and 'integral'. Quantum 'integral' allows us to implement the integral transforms quantum-mechanically with a certain probability, including general wavelet kernel transforms. Furthermore, we propose an improved wavelet kernel transform for quantum computation.
资助项目	National Natural Science Foundation of China[11471040] ; National Natural Science Foundation of China[11761131002] ; GF Science Technology and Innovation Projects
WOS研究方向	Computer Science ; Physics
语种	英语
出版者	RINTON PRESS, INC
WOS记录号	WOS:000462030500004
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/34297]
专题	系统科学研究所
通讯作者	Zhao, Jiman
作者单位	1.Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Ma, Guangsheng,Li, Hongbo,Zhao, Jiman. WINDOWED FOURIER TRANSFORM AND GENERAL WAVELET ALGORITHMS IN QUANTUM COMPUTATION[J]. QUANTUM INFORMATION & COMPUTATION,2019,19(3-4):237-251.
APA	Ma, Guangsheng,Li, Hongbo,&Zhao, Jiman.(2019).WINDOWED FOURIER TRANSFORM AND GENERAL WAVELET ALGORITHMS IN QUANTUM COMPUTATION.QUANTUM INFORMATION & COMPUTATION,19(3-4),237-251.
MLA	Ma, Guangsheng,et al."WINDOWED FOURIER TRANSFORM AND GENERAL WAVELET ALGORITHMS IN QUANTUM COMPUTATION".QUANTUM INFORMATION & COMPUTATION 19.3-4(2019):237-251.