Hybrid quantum-classical algorithms exploit the asymptotic reduction of strongly nonlinear PDEs to linear elliptic problems plus vortex dynamics, achieving exponential speedup in spatial size for 2D cases via quantum BPX preconditioning and Schrödingerization.
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Hybrid quantum-classical algorithms for complex nonlinear partial differential equations with Ginzburg-Landau potential and vortex motion laws
Hybrid quantum-classical algorithms exploit the asymptotic reduction of strongly nonlinear PDEs to linear elliptic problems plus vortex dynamics, achieving exponential speedup in spatial size for 2D cases via quantum BPX preconditioning and Schrödingerization.