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
	2019-03-01
发表期刊	QUANTUM INFORMATION & COMPUTATION
ISSN	1533-7146
卷号	19 期号:3-4 页码:237-251
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.
关键词	Quantum windowed Fourier transform quantum convolution quantum wavelet algorithms
语种	英语
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
WOS类目	Computer Science, Theory & Methods ; Quantum Science & Technology ; Physics, Particles & Fields ; Physics, Mathematical
WOS记录号	WOS:000462030500004
出版者	RINTON PRESS, INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/34298
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.