Research Overview

As a group, our focus has been on the increasingly important intersection of quantum information and quantum gravity. Due to this confluence of ideas, the tools and techniques are quite broad and diverse. The questions below hint at the wide-ranging interests of the group.

Guiding Questions

  • Which features of AdS/CFT are fundamental to quantum gravity (e.g. RT formula), and how can they be used as guiding principles in constructing more general holographic theories beyond the asymptotically AdS setting?
  • Do some black holes have firewalls? If so, when and where?
  • What are the effective degrees of freedom which account for the generalized entropy of subregions?
  • How does modular flow describe bulk emergence?
  • How can we use quantum gravity as a testing ground to learn more about quantum information theory?
  • How do we describe algebra of observables of gravitational subregions when the background is dynamical?
  • Does computational complexity play a role in quantum gravity, and is it dual to simple geometric quantities in the bulk (e.g., volume, action)? If these conjectures are correct, is there anything that gravity can tell us about complexity?
  • What general relativity results have quantum equivalents?
  • Are there other tools that quantum information/quantum computing theorists use that may be useful in understanding holography better?
  • Can we simulate quantum gravity on a (reasonably) near term quantum computer?

Topics

To get started, consider digging further into these topics
  • AdS/CFT
  • Subregion-Subregion Duality
  • Modular Flow
  • Quantum Focussing Conjecture
  • Relative entropy (and its Renyi generalizations)
  • Algebraic QFT
  • Covariant Phase Space Formalism
  • Entanglement Wedge Reconstruction
  • Entanglement Islands
  • Quantum Error Correction
  • Tensor Networks
  • Conformal Field Theories
  • Penrose Diagrams

Recent Interests

Introductory Materials

Recent Publications

For a list of publications from the group, see recent papers.