Quantum Algorithms for Multiscale Partial Differential Equations

Explore quantum algorithms for solving multiscale partial differential equations (PDEs) in this 50-minute talk by Lei Zhang from the Hausdorff Center for Mathematics. Gain insights into the Schrödingerisation method and its quantum circuit implementation, with applications to linear multiscale PDEs and multiscale Hamilton-Jacobi equations. Discover how quantum computing's potential for exponential acceleration compared to classical methods is being applied to computational physics and mathematics. Learn about recent developments in quantum simulation of PDEs, including work by Jin, Liu, Yu, Hu, and Zhang, as the speaker presents cutting-edge research in this rapidly evolving field.