Lectures on Gravity and Entanglement

TL;DR

This paper introduces the connection between quantum entanglement and spacetime geometry within the AdS/CFT correspondence, highlighting how quantum information principles underpin gravitational phenomena.

Contribution

It provides an accessible overview of how quantum entanglement relates to spacetime emergence and gravity in the context of AdS/CFT, based on lecture notes.

Findings

Spacetime geometry is linked to quantum entanglement structure.

Quantum information constraints can explain aspects of gravity.

The notes serve as an educational introduction to these concepts.

Abstract

The AdS/CFT correspondence provides quantum theories of gravity in which spacetime and gravitational physics emerge from ordinary non-gravitational quantum systems with many degrees of freedom. Recent work in this context has uncovered fascinating connections between quantum information theory and quantum gravity, suggesting that spacetime geometry is directly related to the entanglement structure of the underlying quantum mechanical degrees of freedom and that aspects of spacetime dynamics (gravitation) can be understood from basic quantum information theoretic constraints. In these notes, we provide an elementary introduction to these developments, suitable for readers with some background in general relativity and quantum field theory. The notes are based on lectures given at the CERN Spring School 2014, the Jerusalem Winter School 2014, the TASI Summer School 2015, and the Trieste Spring School 2015.