Firstly we will introduce the concept of the balanced partial entanglement entropy (BPE) and the method for its explicit computation. Consider a mixed state A \cup B in two dimensional theories, we will show that the BPE exactly gives the length of the entanglement wedge cross-section in both AdS/CFT and 3d flat holography. The BPE reduces to the reflected entropy in canonical purifications, but can be calculated in general purifications. It can be decomposed into the mutual information and an addtional universial tripartite entanglement (which is known as the Markov gap in canonical purification) when A and B are adjacent. We find that the universal tripartite entanglement is just the minimal value of the crossing PEE. The BPE is conjectured to be independent from the purifications, and we will give serval non-trival tests for this conjecture.
报告人：文强 （东南大学）
简历：
2015年中国人民大学获得博士学位，
2015-2018 清华大学博士后，
2017-2018年哈佛大学访问学者，
2018年-至今 东南大学。
研究兴趣：纠缠熵与量子引力
腾讯会议：
https://meeting.tencent.com/dm/rzw4rqWGeqdf
Meeting ID：935-772-869