Author

Xiaoran Li

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Preprint Aug 2026

Breaking the Curse of Dimensionality in Quantum PDE Solvers via Gevrey Regularity

This work uses Gevrey regularity to analyze a quantum algorithm for solving general linear partial differential equations (PDEs) with periodic boundary conditions and extends the solver to PDEs with Dirichlet boundary conditions using thin Gevrey collars and a regularized inverse.

Pooya Ronagh, Mariia Sobchuk, Xiaoran Li et al. · 1 citation