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Explore the entanglement bootstrap program in this 78-minute conference talk that demonstrates how to understand and extract universal data from quantum many-body states using local entanglement information. Learn about the theoretical framework that connects quantum field theory to entanglement by examining conditions satisfied by reduced density matrices of ball regions for fixed-point states. Discover the program's successful applications to states with liquid topological order and conformal field theory in 1+1 dimensions, then delve into the current research frontier of 2+1 dimensional conformal field theory where the fuzzy sphere proves particularly valuable. Gain insights into how this approach reveals universal quantum field theory properties through entanglement structure analysis, presented by a leading researcher from the University of California, San Diego at the Institut des Hautes Etudes Scientifiques.
