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Watch a 36-minute lecture from UC Berkeley's Zhiyan Ding at the Simons Institute, exploring the mathematical challenges of quantum algorithms for open quantum systems. Delve into the preparation of low-temperature Gibbs states for 2D Toric Code in polynomial time, as part of the broader discussion on quantum algorithms and their mathematical foundations. Learn about the intersection of quantum computing, mathematical theory, and algorithmic complexity in the context of open quantum systems.