Quantum signal processing and nonlinear Fourier analysis
arXiv:2310.12683
Abstract
Elucidating a connection with nonlinear Fourier analysis, we extend a well known algorithm in quantum signal processing to represent measurable signals by square summable sequences. Each coefficient of the sequence is Lipschitz continuous as a function of the signal.
32 pages, 1 figure. To appear in Revista Matematica Complutense. Thanks to Jiasu Wang for pointing out typos in the previous version of this article