Arbeitsgemeinschaft: Quantum Signal Processing and Nonlinear Fourier Analysis

  • András Gilyén

    HUN-REN Alfréd Rényi Institute of Mathematics, Budapest, Hungary
  • Lin Lin

    University of California, Berkeley, USA
  • Christoph Thiele

    Universität Bonn, Bonn, Germany
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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