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Explore the fundamentals of quantum simulation applied to quantum field theories in this comprehensive lecture from IPAM's Quantum Winter School 2026. Delve into the theoretical foundations and practical approaches for simulating quantum field systems using quantum computing platforms. Learn how quantum simulation techniques can address complex problems in high-energy physics and condensed matter systems that are intractable with classical computational methods. Discover the mathematical frameworks that bridge quantum field theory with quantum simulation algorithms, including discretization methods, error analysis, and scalability considerations. Examine specific examples of quantum field theories that benefit from quantum simulation approaches, such as gauge theories and many-body quantum systems. Understand the current limitations and future prospects of quantum simulation in advancing our understanding of fundamental physics phenomena. This first part of a two-part series provides essential background knowledge for researchers and students interested in the intersection of quantum computing and theoretical physics.
