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quant-ph2024★ 1 cited
Quantum simulation of the Fokker-Planck equation via Schrodingerization
Shi Jin, Nana Liu, Yue Yu
This paper studies a quantum simulation technique for solving the Fokker-Planck equation. Traditional semi-discretization methods often fail to preserve the underlying Hamiltonian…
quant-ph2023★ 3 cited
Quantum simulation of Maxwell's equations via Schrödingersation
Shi Jin, Nana Liu, Chuwen Ma
We present quantum algorithms for electromagnetic fields governed by Maxwell's equations. The algorithms are based on the Schrödingersation approach, which transforms any linear PD…