Entanglement Entropy, Quantum Field Theory, and Holography by Matthew Headrick

Explore the intricate connections between entanglement entropy, quantum field theory, and holography in this comprehensive lecture. Delve into the fundamental concepts of classical and quantum information theory, including subsystems, entanglement measures, and mutual information. Examine the application of these principles to quantum field theory and spin systems, with a focus on entropy and entanglement in extended systems. Gain insights into the mathematical foundations and physical implications of entanglement, from basic inequalities to advanced estimates. Conclude with a Q&A session to further clarify complex topics and their relevance to modern physics research.

Start
Entanglement entropy, quantum field theory, and holography
How entangled?
Outline
I. A. Classical
Series of inequalities
B. Quantum
Subsystems
How to tell?
Example
Entanglement entropy
Entanglement vs. classical correlation
D. Mutual information
II. Entropy Entanglement + Fields
Spin systems
Slightly better estimate
Q&A