Windowed Fourier transform and general wavelet algorithms in quantum computation

被引：0

作者：

Ma, Guangsheng ^{[1
]}

Li, Hongbo ^{[2
]}

Zhao, Jiman ^{[1
]}

机构：

[1] School of Mathematical Sciences, Beijing Normal University, Beijing,100875, China

[2] Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing,100190, China

来源：

Quantum Information and Computation | 2019年 / 19卷 / 3-4期

基金：

中国国家自然科学基金;

关键词：

Fourier transforms - Wavelet transforms - Quantum computers - Integral equations;

D O I：

暂无

中图分类号：

学科分类号：

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 quantummechanically with a certain probability, including general wavelet kernel transforms. Furthermore, we propose an improved wavelet kernel transform for quantum computation. © Rinton Press.

引用

页码：237 / 251

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