Stable factorization for phase factors of quantum signal processing
Quantum Physics
2022-11-02 v3 Numerical Analysis
Numerical Analysis
Abstract
This paper proposes a new factorization algorithm for computing the phase factors of quantum signal processing. The proposed algorithm avoids root finding of high degree polynomials by using a key step of Prony's method and is numerically stable in the double precision arithmetics. Experimental results are reported for Hamiltonian simulation, eigenstate filtering, matrix inversion, and Fermi-Dirac operator.
Keywords
Cite
@article{arxiv.2202.02671,
title = {Stable factorization for phase factors of quantum signal processing},
author = {Lexing Ying},
journal= {arXiv preprint arXiv:2202.02671},
year = {2022}
}