Arbeitsgemeinschaft: Quantum Signal Processing and Nonlinear Fourier Analysis
A pivotal algorithm in quantum signal processing represents a real-valued function as a specific entry in a product of SU(2) 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.
Authors
- Christoph Thiele (ORCID: https://orcid.org/0000-0001-6158-7667)
- András Gilyén (ORCID: https://orcid.org/0000-0001-5992-5743)
- Lin Lin (ORCID: https://orcid.org/0000-0001-6860-9566)
Institutions
- HUN-REN Alfréd Rényi Institute of Mathematics (HU)
- University of Bonn (DE)
- University of California, Berkeley (US)
Publication Details
- Journal
- Oberwolfach Reports
- Published
- 2025-05-19
- DOI
- https://doi.org/10.4171/owr/2024/46
- Primary Topic
- Quantum Information and Cryptography
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation