Quantum signal processing and nonlinear Fourier analysis

Michel Alexis, Gevorg Mnatsakanyan, Christoph Thiele
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Abstract

Elucidating a connection with nonlinear Fourier analysis (NLFA), we extend a well known algorithm in quantum signal processing (QSP) to represent measurable signals by square summable sequences. Each coefficient of the sequence is Lipschitz continuous as a function of the signal.

Abstract Image

量子信号处理和非线性傅立叶分析
为了阐明与非线性傅立叶分析(NLFA)的联系,我们扩展了量子信号处理(QSP)中的一种著名算法,用平方可求和序列来表示可测量信号。作为信号的函数,序列的每个系数都是 Lipschitz 连续的。
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