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Explore the fascinating intersection of topological quantum field theory and quantum error correction in this conference talk delivered as part of the Program on Anomalies, Topology and Quantum Information in Field Theory and Condensed Matter Physics. Learn how topological quantum field theories can be understood and utilized as error-correcting codes, bridging fundamental theoretical physics with practical quantum computing applications. Discover the mathematical frameworks that connect topological invariants with quantum information protection mechanisms, and understand how the robust properties of topological phases can be harnessed to create fault-tolerant quantum systems. Examine specific examples of how TQFT structures naturally encode quantum information in ways that are protected against local perturbations and decoherence. Gain insights into the theoretical foundations that make topological quantum computing a promising approach for building stable quantum computers, and understand the deep connections between abstract mathematical concepts in topology and concrete applications in quantum error correction.
