Quantum Information and Geometry

Fall 2019: PHYS 57000(A) “Quantum Information and Geometry”

Tue-Thu 4:45-6:00 pm; Room PHYS 338

Prerequisites: Quantum Mechanics and/or Operator Algebra, Statistical Mechanics, Classical Mechanics. Knowledge of Quantum Field Theory is not required; however, familiarity with the basics of General Relativity and Riemannian geometry will be assumed.

Course description: This course is an introduction to information-theoretic methods in fundamental physics. It is aimed at graduate students and advanced undergraduate students in Physics and Mathematics. I strongly encourage interested Mathematics students with knowledge of operator algebras to participate.

Topics that we will cover:

1)  Entanglement Theory and General Quantum Systems

2) Tensor Networks, Many-body Quantum Systems and Geometry

3) Quantum Fields and Entanglement

4) Basics of Conformal Field Theory

5) Towards the Emergence of Spacetime and Holography

If you have suggestions/comments regarding the course please do not hesitate to email me.

To keep the course interactive and the students can play a more active role in choosing the focus of the course, we will use the application Slack to post course announcements, reports, discuss ideas and share interesting papers we have come across. If you are planning to attend the class please send me an email and I will add you to the course channel on Slack.

Some books on the basics of quantum information theory:

Some references on quantum many-body quantum systems  and tensor networks:

Some references on von Neumann algebras and Modular Theory:

Some references on local algebras of quantum fields:

Some references on conformal field theory:

Some references on Quantum gravity, black holes:

Some references on AdS/CFT correspondence:

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