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quant-ph2024
Schrödingerization based Quantum Circuits for Maxwell's Equation with time-dependent source terms
Chuwen Ma, Shi Jin, Nana Liu +2
The Schrödingerisation method combined with the autonomozation technique in \cite{cjL23} converts general non-autonomous linear differential equations with non-unitary dynamics int…
math.NA2024★ 2 cited
Schrödingerisation based computationally stable algorithms for ill-posed problems in partial differential equations
Shi Jin, Nana Liu, Chuwen Ma
We introduce a simple and stable computational method for ill-posed partial differential equation (PDE) problems. The method is based on Schrödingerization, introduced in [S. Jin,…
math.NA2024★ 1 cited
On Schrödingerization based quantum algorithms for linear dynamical systems with inhomogeneous terms
Shi Jin, Nana Liu, Chuwen Ma
We analyze the Schrödingerization method for quantum simulation of a general class of non-unitary dynamics with inhomogeneous source terms. The Schrödingerization technique, introd…