4 papers · 1 filter
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…
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…
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…
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 the…