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Explore the fundamental concepts of learnable and unlearnable aspects in quantum dynamics through this 56-minute blackboard talk presented at the Kavli Institute for Theoretical Physics. Delve into the theoretical framework that distinguishes between quantum phenomena that can be effectively learned or predicted versus those that remain fundamentally unlearnable due to their inherent quantum nature. Examine how quantum systems evolve over time and discover which dynamical properties can be extracted through measurement and analysis, while understanding the fundamental limitations imposed by quantum mechanics on our ability to predict certain behaviors. Gain insights into the intersection of quantum information theory, machine learning concepts, and quantum many-body physics as the speaker discusses the theoretical boundaries between what can and cannot be learned about quantum systems through observation and computation.
