eigenvalue transformation 1linear combination of Hermitian matrices 1polynomial approximation 1quantum algorithms 1quantum linear algebra 1
From the 1 of 2 linked papers with an AI index.
2 papers
quant-ph2026
Optimal Quantum Eigenvalue Transformation via Linear Combinations of Hermitian Matrices
Yanqiao Wang, Yixuan Liang, Hongjia Chen +1
The paper presents two complementary linear-combination-of-Hermitian-matrices (LCHM) frameworks for implementing general eigenvalue transformations of non‑normal matrices on quantu…
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…