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5 papers

math.NA2026

SinCoTrap: A High-Order Locally Corrected Trapezoidal Rule for Periodic Singular Integrals in Arbitrary Dimensions

Hengzhun Chen, Yingzhou Li

The paper introduces SinCoTrap, a high-order locally corrected trapezoidal rule that efficiently evaluates periodic singular integrals in any dimension by adjusting a small set of…

quant-ph2026

Structure-Aware Compilation for Scalable Neutral-Atom Quantum Computing

Dekuan Dong, Fengyu Zou, Hengzhun Chen +2

We study the compilation of structured quantum gate families on two-dimensional neutral-atom arrays, aiming to reduce addressing and transport overhead under realistic hardware con…

math.NA2026

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…

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.NA2025

Frozen Gaussian approximation for the fractional Schrödinger equation

Lihui Chai, Hengzhun Chen, Xu Yang

We develop a refined Frozen Gaussian approximation (FGA) for the fractional Schrödinger equation in the semi-classical regime, where the solution exhibits rapid oscillations as th…