73 citations · 301 across the 13 of their papers we have counts for
5 papers · 1 filter
Learning many-body Hamiltonians with Heisenberg-limited scaling
Hsin-Yuan Huang, Yu Tong, Di Fang +1
Learning a many-body Hamiltonian from its dynamics is a fundamental problem in physics. In this work, we propose the first algorithm to achieve the Heisenberg limit for learning an…
Uniform observable error bounds of Trotter formulae for the semiclassical Schrödinger equation
Yonah Borns-Weil, Di Fang
Known as no fast-forwarding theorem in quantum computing, the simulation time for the Hamiltonian evolution needs to be in the worst case, which essentially states tha…
Time-marching based quantum solvers for time-dependent linear differential equations
Di Fang, Lin Lin, Yu Tong
The time-marching strategy, which propagates the solution from one time step to the next, is a natural strategy for solving time-dependent differential equations on classical compu…
Asymptotic analysis of diabatic surface hopping algorithm in the adiabatic and non-adiabatic limits
Zhenning Cai, Di Fang, Jianfeng Lu
Surface hopping algorithms, as an important class of quantum dynamics simulation algorithms for non-adiabatic dynamics, are typically performed in the adiabatic representation, whi…
Efficient quantum algorithm for nonlinear reaction-diffusion equations and energy estimation
Dong An, Di Fang, Stephen Jordan +3
Nonlinear differential equations exhibit rich phenomena in many fields but are notoriously challenging to solve. Recently, Liu et al. [1] demonstrated the first efficient quantum a…