Topological Defects in Toric Code and Sequential Quantum Circuit - IPAM at UCLA

Explore a lecture on topological defects in toric code and sequential quantum circuits presented by Xie Chen from the California Institute of Technology at IPAM's Topology, Quantum Error Correction and Quantum Gravity Workshop. Delve into the complex world of 3+1D toric code excitations and their higher-category structure. Discover the Cheshire string, a unique defect formed by condensing point charge excitations, and learn how Sequential Quantum Circuits are crucial for its creation. Examine the processes of deformation, movement, and fusion of Cheshire strings through finite depth circuits. Gain insights into how quantum circuits can define equivalence classes of gapped topological defects, potentially providing an operational framework for describing higher-dimensional topological orders. Enhance your understanding of advanced concepts in quantum topology and error correction in this 58-minute presentation recorded on November 29, 2023, at the Institute for Pure & Applied Mathematics (IPAM) at UCLA.