Kenkyu-Honkan bldg. 1F - Kobayashi Hall
Holographic Entanglement of Purification and CFT Dual
First we explain our recent conjecture that a gravity dual of a quantity called entanglement of purification is given by the minimal area of entanglement wedge cross section in AdS. This provides a simple generalization of holographic entanglement entropy to mixed states. Then we argue that in AdS3/CFT2 setups, the holographic entanglement of purification agrees with the entanglement entropy in a conformal field theory for a purified state obtained from a special Weyl transformation, called path-integral optimizations. In other words, this special purified state has the minimal path-integral complexity.