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math.NA2026
SinCoTrap: A High-Order Locally Corrected Trapezoidal Rule for Periodic Singular Integrals in Arbitrary Dimensions
Hengzhun Chen, Yingzhou Li
We present SinCoTrap (Singularity-Corrected Trapezoidal Rule), a high-order locally corrected trapezoidal method for periodic singular integrals in arbitrary dimension with ker…
math.NA2025
Landscape Analysis of Excited States Calculation over Quantum Computers
Hengzhun Chen, Yingzhou Li, Bichen Lu +1
The variational quantum eigensolver (VQE) is one of the most promising algorithms for low-lying eigenstates calculation on Noisy Intermediate-Scale Quantum (NISQ) computers. Specif…
math.NA2024
On the Continuity of Schur-Horn Mapping
Hengzhun Chen, Yingzhou Li
The Schur-Horn theorem is a well-known result that characterizes the relationship between the diagonal elements and eigenvalues of a symmetric (Hermitian) matrix. In this paper, we…