SymTFT Approach for Non-Invertible Symmetries of Mixed States

Explore the SymTFT (Symmetry Topological Field Theory) approach for analyzing both invertible and non-invertible symmetries in mixed quantum states through this 23-minute speed talk from Harvard University's Center of Mathematical Sciences and Applications. Delve into advanced concepts in quantum field theory and topological phases as presented during the Workshop on Quantum Field Theory and Topological Phases via Homotopy Theory and Operator Algebras. Learn how the SymTFT framework provides a powerful mathematical tool for understanding symmetry structures in quantum systems beyond pure states, extending to the more complex realm of mixed states where traditional symmetry analysis becomes challenging. Gain insights into the intersection of homotopy theory, operator algebras, and quantum field theory as applied to topological phases of matter.