Stable factorization for phase factors of quantum signal processing

02/06/2022

∙

by   Lexing Ying, et al.

∙

0

∙

share

This note proposes a new factorization algorithm for computing the phase factors of quantum signal processing. The proposed algorithm avoids root finding of high degree polynomials and is numerical stable in the double precision arithmetics. Experimental results are reported for Hamiltonian simulation, eigenstate filtering, matrix inversion, and Fermi-Dirac operator.