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quant-ph2022★ 15 cited
Quantum differential equation solvers: limitations and fast-forwarding
Dong An, Jin-Peng Liu, Daochen Wang +1
We study the limitations and fast-forwarding of quantum algorithms for linear ordinary differential equation (ODE) systems with a particular focus on non-quantum dynamics, where th…
quant-ph2022★ 11 cited
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…