量子信号处理中相位因子的稳定分解
Stable factorization for phase factors of quantum signal processing
摘要：
本文提出了一种新的量子信号处理中相位因子的分解算法。该算法利用Prony方法中的一个关键步骤避免了高次多项式求根，在双精度算法中数值稳定。实验结果报告的哈密顿模拟，本征态滤波，矩阵求逆，和费米-狄拉克算子。
英文摘要：
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.
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