Snowmass white paper: Quantum information in quantum field theory and quantum gravity

TL;DR

This white paper reviews recent advances and ongoing challenges in applying quantum information theory to understand quantum field theory and quantum gravity, emphasizing entanglement, chaos, complexity, and holography.

Contribution

It synthesizes current progress and identifies future directions in integrating quantum information concepts with quantum field theory and gravity research.

Findings

Entanglement entropy reveals insights into RG flows and phases.

Quantum chaos and scrambling are key to understanding information dynamics.

Quantum information science enhances understanding of holographic dualities.

Abstract

We present a summary of recent progress and remaining challenges in applying the methods and ideas of quantum information theory to the study of quantum field theory and quantum gravity. Important topics and themes include: entanglement entropy in QFTs and what it reveals about RG flows, symmetries, and phases; scrambling, information spreading, and chaos; state preparation and complexity; classical and quantum simulation of QFTs; and the role of information in holographic dualities. We also highlight the ways in which quantum information science benefits from the synergy between the fields.