Time-reversal symmetry is one of fundamental symmetries that can present in many quantum mechanical systems. It plays an important role in many-body quantum systems, as demonstrated, for example, in the physics of topological insulators. In this talk, I will discuss topology and quantum entanglement protected and detected by time-reversal symmetry. Of particular importance for us is the so-called *partial transpose* -- a quantum information theoretical operation closely related to time-reversal. I will discuss how it can be used to detect topological properties of many-body ground state of topological insulators and superconductors without relying on single particle band structures, and, also, how it can be used to quantify quantum entanglement of mixed quantum states.
Recording of Professor Ryu's Talk: http://www.kaltura.com/tiny/r2rs1