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WINDOWED FOURIER TRANSFORM AND GENERAL WAVELET ALGORITHMS IN QUANTUM COMPUTATION
Ma, Guangsheng1; Li, Hongbo2; Zhao, Jiman1
2019-03-01
Source PublicationQUANTUM INFORMATION & COMPUTATION
ISSN1533-7146
Volume19Issue:3-4Pages:237-251
AbstractIn 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.
KeywordQuantum windowed Fourier transform quantum convolution quantum wavelet algorithms
Language英语
Funding ProjectNational Natural Science Foundation of China[11471040] ; National Natural Science Foundation of China[11761131002] ; GF Science Technology and Innovation Projects
WOS Research AreaComputer Science ; Physics
WOS SubjectComputer Science, Theory & Methods ; Quantum Science & Technology ; Physics, Particles & Fields ; Physics, Mathematical
WOS IDWOS:000462030500004
PublisherRINTON PRESS, INC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/34298
Collection系统科学研究所
Corresponding AuthorZhao, Jiman
Affiliation1.Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
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.
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