A Toy Model of the Information Paradox in Empty Space - Suvrat Raju

Explore a comprehensive lecture on the information paradox in empty space, delivered by Suvrat Raju at the Institute for Advanced Study's Workshop on Quantum Information and the Structure of Spacetime. Delve into complex topics such as strong subadditivity paradox, cloning paradox, CHSH inequalities, monogamy of Bell correlations in QFT, and their failure in gravity. Examine Bell correlations in simple harmonic oscillators and quantum field theory, with a focus on calculations in Anti-de Sitter space. Investigate the introduction of gravity, boundary Hamiltonians, and the construction of operators leading to a paradox in gravity. Gain insights into potential resolutions, key lessons, and open questions in this cutting-edge field of theoretical physics.

Intro
Motivation
Strong Subadditivity Paradox
Cloning Paradox
Independence from other effects
CHSH Inequalities
Monogamy of Bell Correlations in QFT
Failure of Monogamy in Gravity
Warmup: Bell Correlations in SHOS
Defining Bell Operators
Bell Correlations in QFT: General Formulas
Choosing Modes in Global Ads: Precise Definitions
Rewriting as using Global Modes
Calculating Bell Correlations in Ads
Introducing Gravity
Boundary Hamiltonian
Projector on the vacuum
More Comments on the Projector
Lifting the Vacuum
Constructing Operators C
A Paradox in Gravity
Resolution
Outline
Lessons
Conclusion and Open Questions