Lectures on entanglement in quantum field theory

TL;DR

This paper provides a comprehensive overview of entanglement in quantum field theory, discussing related irreversibility, energy-entropy bounds, and the role of symmetries, based on a series of lectures over the past decade.

Contribution

It offers a structured synthesis of key topics in quantum field theory entanglement, integrating quantum information tools with recent theoretical developments.

Findings

Overview of entanglement in quantum field theory

Discussion of irreversibility theorems and energy-entropy bounds

Analysis of entanglement's relation to symmetries

Abstract

These notes grew from a series of lectures given by the authors during the last decade. They will be published in the proceedings of TASI 2021. After a brief introduction to quantum information theory tools, they are organized in four chapters covering the following subjects: Entanglement in quantum field theory, Irreversibility theorems, Energy-entropy bounds, Entanglement and symmetries.