An, D; Fang, D; Jordan, S; Liu, J-P; Low, GH; Wang, J, Efficient quantum algorithm for nonlinear reaction-diffusion equations and energy estimation,
in arXiv 2205.01141,
Commun. Math. Phys., vol. 404
(October, 2023),
pp. 963-1020 [doi]
Huang, H-Y; Tong, Y; Fang, D; Su, Y, Learning Many-Body Hamiltonians with Heisenberg-Limited Scaling.,
Physical review letters, vol. 130 no. 20
(May, 2023),
pp. 200403 [doi] [abs]
Fang, D; Vilanova, AT, Observable Error Bounds of the Time-Splitting Scheme for Quantum-Classical Molecular Dynamics,
SIAM Journal on Numerical Analysis, vol. 61 no. 1
(February, 2023),
pp. 26-44, Society for Industrial & Applied Mathematics (SIAM) [doi]
Fang, D; Lin, L; Tong, Y, Time-marching based quantum solvers for time-dependent linear differential equations,
Quantum, vol. 7
(January, 2023) [doi] [abs]
An, D; Fang, D; Lin, L, Parallel transport dynamics for mixed quantum states with applications to time-dependent density functional theory,
Journal of Computational Physics, vol. 451
(February, 2022) [doi] [abs]
Recent Grant Support
Towards Quantum Speedup for Solving High-Dimensional Partial Differential Equations, National Science Foundation, 2023/10-2025/07.
Quantum Numerical Analysis for High-dimensional Differential Equations, Oak Ridge Associated Universities, 2024/06-2025/05.
