89 citations · 388 across the 18 of their papers we have counts for
6 papers · 1 filter
Time-dependent unbounded Hamiltonian simulation with vector norm scaling
Dong An, Di Fang, Lin Lin
The accuracy of quantum dynamics simulation is usually measured by the error of the unitary evolution operator in the operator norm, which in turn depends on certain norm of the Ha…
Quantum-accelerated multilevel Monte Carlo methods for stochastic differential equations in mathematical finance
Dong An, Noah Linden, Jin-Peng Liu +3
Inspired by recent progress in quantum algorithms for ordinary and partial differential equations, we study quantum algorithms for stochastic differential equations (SDEs). Firstly…
Towards sharp error analysis of extended Lagrangian molecular dynamics
Dong An, Lin Lin, Michael Lindsey
The extended Lagrangian molecular dynamics (XLMD) method provides a useful framework for reducing the computational cost of a class of molecular dynamics simulations with constrain…
Fast inversion, preconditioned quantum linear system solvers, and fast evaluation of matrix functions
Yu Tong, Dong An, Nathan Wiebe +1
Preconditioning is the most widely used and effective way for treating ill-conditioned linear systems in the context of classical iterative linear system solvers. We introduce a qu…
Stochastic Constrained Extended System Dynamics for Solving Charge Equilibration Models
Songchen Tan, Itai Leven, Dong An +2
We present a new stochastic extended Lagrangian solution to charge equilibration that eliminates self-consistent field (SCF) calculations, eliminating the computational bottleneck…
Split representation of adaptively compressed polarizability operator
Dong An, Lin Lin, Ze Xu
The polarizability operator plays a central role in density functional perturbation theory and other perturbative treatment of first principle electronic structure theories. The co…