Topology of Moduli Spaces of Topological Theories and Applications to Codes

Explore the intricate connections between topology, quantum error correction, and quantum gravity in this 54-minute conference talk by Zhenghan Wang of Microsoft Research. Delve into the framework for Hastings-Haah floquet codes through loops in the space of gapped Hamiltonians for the toric code. Examine the fascinating question of homotopy types in moduli spaces of topological theories. Discover recent progress towards a conjectured picture of these homotopy types, based on joint work with Po-shen Hsin. Gain insights into the applications of these concepts to quantum codes and their potential implications for quantum computing and quantum gravity research.