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quant-ph2026★ 241 cited
Efficient quantum algorithm for dissipative nonlinear differential equations
Jin-Peng Liu, Herman Ãie Kolden, Hari K. Krovi +3
Nonlinear differential equations model diverse phenomena but are notoriously difficult to solve. While there has been extensive previous work on efficient quantum algorithms for li…
quant-ph2025
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-ph2024
Dense outputs from quantum simulations
Jin-Peng Liu, Lin Lin
The quantum dense output problem is the process of evaluating time-accumulated observables from time-dependent quantum dynamics using quantum computers. This problem arises frequen…