#### Special PCTS Seminar - Horacio Casini, Centro Atomico Bariloche - Physical entanglement entropy: relative entropy and mutual information

I will describe general facts about entanglement entropy in QFT and discuss two different ways to get rid of the regularization ambiguities, using mutual information and relative entropy. Then i will show relative entropy gives a proof of a well defined version of the Bekenstein bound, an offer a strong test to holographic entropy. It can also be used to do "vacuum state tomography" from the entropy functional. In a second part of my talk I will show mutual information can be used to give a precise unambiguos definition of the central charge in the c-theorem for d=3, which in principle can be computed using any regularization. I will revise the proof of the c-theorem in terms of mutual information.

**Location:**
PCTS Seminar Room

**Date/Time: **04/24/13
at
2:30 pm
- 04/24/13
at
4:00 pm

**Category: **PCTS Seminar

**Department: **Physics