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Dive into the fascinating world of quantum computation in this 42-minute ACM conference talk. Explore key concepts such as local Hamiltonians, entropy, and terminology while gaining insights into prior works and methodologies in the field. Engage with an interactive problem-solving session led by Luke Shaefer, and discover historical results that have shaped quantum computation. Gain a comprehensive understanding of this cutting-edge topic, from its foundational principles to its latest developments and future implications.