3 papers
quant-ph2026
Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices
Yanqiao Wang, Yixuan Liang, Hongjia Chen +1
We discover two complementary linear-combination-of-Hermitian-matrices (LCHM) formulations to achieve a general non-normal matrix eigenvalue transformation . Firstly, for $A=…
quant-ph2026
Structure-Preserving Quantum Method of Lines for Evolutionary PDEs with Mixed Boundary Conditions
Yixuan Liang, Jin-Peng Liu
We give detailed analysis and circuit design of structure-preserving quantum algorithms for second-order linear evolutionary PDEs, including parabolic equations and hyperbolic equa…
quant-ph2023
Inertia of partial transpose of positive semidefinite matrices
Yixuan Liang, Jiahao Yan, Dongran Si +1
We show that the partial transpose of positive semidefinite matrices do not have inertia (4,1,4) and (3,2,4). It solves an open problem in "LINEAR AND MULTILINEAR ALGEB…