eigenvalue transformation 1linear combination of Hermitian matrices 1polynomial approximation 1quantum algorithms 1quantum linear algebra 1
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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
Quantum Derivative Pricing for SPDEs via BDSDE Representation
Xinmiao Li, Yanqiao Wang, Rundi Lu +2
We study quantum speedups of derivative pricing for stochastic partial differential equation (SPDE) models through their backward doubly stochastic differential equation (BDSDE) re…
quant-ph2026
Sign Embedding Quantum Algorithms for Matrix Equations and Matrix Functions
Yanqiao Wang, Jin-Peng Liu
We develop a systematic sign-embedding framework of operator-output quantum algorithms for matrix equations and matrix functions. Differing from the contour-integral treatment, we…