Arbeitsgemeinschaft: Quantum Signal Processing and Nonlinear Fourier Analysis
András Gilyén
HUN-REN Alfréd Rényi Institute of Mathematics, Budapest, HungaryLin Lin
University of California, Berkeley, USAChristoph Thiele
Universität Bonn, Bonn, Germany

Abstract
A pivotal algorithm in quantum signal processing represents a real-valued function as a specific entry in a product of matrices, where an argument matrix alternates with a sequence of coefficient matrices. Recently, this framework has been identified as a nonlinear Fourier series, a concept studied across various mathematical disciplines. This Arbeitsgemeinschaft explored the intersection of quantum computing and harmonic analysis, emphasizing the potential of this connection.
Cite this article
András Gilyén, Lin Lin, Christoph Thiele, Arbeitsgemeinschaft: Quantum Signal Processing and Nonlinear Fourier Analysis. Oberwolfach Rep. 21 (2024), no. 4, pp. 2671–2750
DOI 10.4171/OWR/2024/46