Further reading
This package relies on the results from the papers below.
Michel Alexis, Gevorg Mnatsakanyan, and Christoph Thiele. Quantum signal processing and nonlinear Fourier analysis. Revista Matemática Complutense 37, 655–694 (2024)
Bjorn Berntson & Christoph Sünderhauf. Complementary Polynomials in Quantum Signal Processing. Communications in Mathematical Physics 406, 161 (2025)
Implementation: weiss
Michel Alexis, Lin Lin, Gevorg Mnatsakanyan, Christoph Thiele, and Jiasu Wang. Infinite quantum signal processing for arbitrary Szegö functions. Communications on Pure and Applied Mathematics 79, no. 1: 123-174 (2026)
Implementation: riemann_hilbert
Hongkang Ni and Lexing Ying. Fast Phase Factor Finding for Quantum Signal Processing. arXiv:2410.06409 (2024)
Implementation: half_cholesky
Lorenzo Laneve. Generalized Quantum Signal Processing and Non-Linear Fourier Transform are equivalent. arXiv:2503.03026 (2025)
Implementation: GQSPPhaseFactors.solve, GQSPPhaseFactors
Hongkang Ni, Rahul Sarkar, Lexing Ying, Lin Lin. Inverse nonlinear fast Fourier transform on SU(2) with applications to quantum signal processing. arXiv:2505.12615 (2025)
Implementation: nlfft