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.

翻译：本说明为计算量子信号处理的阶段因子提出了一种新的乘数算法。 提议的算法避免了高度多元学的根值发现,而且在双重精确计算中数字稳定。 汉密尔顿模拟、 脑细胞过滤、 矩阵转换和 Fermi- Dirac 操作员的实验结果都得到了报告。