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math.NA2025
Generalized quantum singular value transformation with application in quantum conjugate gradient least squares algorithm
Yu-Qiu Liu, Hefeng Wang, Hua Xiang
Quantum signal processing (QSP) and generalized quantum signal processing (GQSP) are essential tools for implementing the block encoding of matrix functions. The achievable polynom…
math.NA2022
Quantum-inspired algorithm for truncated total least squares solution
Qian Zuo, Yimin Wei, Hua Xiang
Total least squares (TLS) methods have been widely used in data fitting. Compared with the least squares method, for TLS problem we takes into account not only the observation erro…
math.NA2021
Quantum Algorithm for Matrix Logarithm by Integral Formula
Songling Zhang, Hua Xiang
The matrix logarithm is one of the important matrix functions. Recently, a quantum algorithm that computes the state corresponding to matrix-vector product is p…