Title：Pseudo Entropy, Entanglement and Holography

Speaker：Zixia Wei（Tokyo Institute of theoretical physics, Kyoto University）

Time：June 9, 2020 (Tuesday) ,16:15 PM(Beijing Time)

Venue：Online Report （ZOOM ID：625 8252 5050）

Click the following link to enter the meeting：https://cernet.zoom.com.cn/j/62582525050

Abstract：A quantity, called pseudo entropy, is introduced as a generalization of entanglement entropy via post-selection in a general quantum system. This quantity is defined from 2 pure quantum states and an arbitrary bipartite factorization of the whole system. Pseudo entropy in holographic CFTs is dual to areas of minimal area surfaces in time-dependent Euclidean spaces which are asymptotically AdS. To see the speciality of holographic states implied by this duality, I will show a classification of quantum states with respect to the properties of pseudo entropy and study it in several quantum systems including qubit systems, free CFT, etc. The relationship between entanglement and pseudo entropy will also be discussed. If time allows, I will also talk about an operational meaning for a special class of quantum states and a generalization of pseudo entropy for mixed states.