Quantum signal processing and nonlinear Fourier analysis
Quantum Physics
2024-06-04 v2 Classical Analysis and ODEs
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.
Cite
@article{arxiv.2310.12683,
title = {Quantum signal processing and nonlinear Fourier analysis},
author = {Michel Alexis and Gevorg Mnatsakanyan and Christoph Thiele},
journal= {arXiv preprint arXiv:2310.12683},
year = {2024}
}
Comments
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