Di Fang

Preprint · April 17, 2024 Understanding the mixing of open quantum systems is a fundamental problem in physics and quantum information science. Existing approaches for estimating the mixing time often rely on the spectral gap estimation of the Lindbladian generator, which can be ch ... Link to item Cite

Uniform observable error bounds of Trotter formulae for the semiclassical Schrödinger equation

Preprint · August 16, 2023 Cite

Asymptotic analysis of diabatic surface hopping algorithm in the adiabatic and non-adiabatic limits

Preprint · May 4, 2022 Surface hopping algorithms, as an important class of quantum dynamics simulation algorithms for non-adiabatic dynamics, are typically performed in the adiabatic representation, which can break down in the presence of ill-defined adiabatic potential energy ... Link to item Cite

Di Fang

Scholarly Works - Preprints

Time-dependent Hamiltonian Simulation via Magnus Expansion: Algorithm and Superconvergence

Mixing Time of Open Quantum Systems via Hypocoercivity

Uniform observable error bounds of Trotter formulae for the semiclassical Schrödinger equation

Asymptotic analysis of diabatic surface hopping algorithm in the adiabatic and non-adiabatic limits

Discrete Superconvergence Analysis for Quantum Magnus Algorithms of Unbounded Hamiltonian Simulation

Uniform semiclassical observable error bound of Trotterization without the Egorov theorem: a simple algebraic proof

Qubit-Efficient Quantum Algorithm for Linear Differential Equations

On the Trotter Error in Many-body Quantum Dynamics with Coulomb Potentials

High-order Magnus Expansion for Hamiltonian Simulation

Superconvergence of High-order Magnus Quantum Algorithms