论文标题
量子信号处理的相位因子的稳定分解
Stable factorization for phase factors of quantum signal processing
论文作者
论文摘要
本文提出了一种用于计算量子信号处理的相位因子的新分解算法。所提出的算法通过使用Prony方法的关键步骤来避免从根部发现高度多项式，并且在双精度算术中在数值上稳定。据报道，有关哈密顿模拟，本征态过滤，基质反演和费米 - 迪拉克操作员的实验结果。
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.
