2 papers
quant-ph2026
An Efficient Explicit Implementation of a Quantum Algorithm with Quantum Advantage for Nonlinear Scalar Conservation Laws
Kezhen Wang, Junpeng Hu, Lei Zhang
Quantum algorithms for nonlinear partial differential equations remain challenging because nonlinear dynamics are not directly amenable to unitary quantum simulation. Building on t…
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 in…