Quantum information elements in Quantum Gravity states and processes

TL;DR

This paper explores how quantum information concepts, especially entanglement and causality, underpin the structure of quantum gravity states, revealing their role in topology, geometry, and holography.

Contribution

It provides a unified combinatorial and algebraic framework for quantum gravity states, highlighting the role of quantum information in their geometric and causal properties.

Findings

Entanglement influences topological and geometric features.

Discrete quantum causality can be implemented in quantum gravity models.

Random tensor networks reveal conditions for holographic behavior.

Abstract

We summarize basic features of quantum gravity states and processes, common to a number of related quantum gravity formalisms, and sharing a purely combinatorial and algebraic language, and a discrete geometric interpretation. We emphasize how, in this context, entanglement is a seed of topological and geometric properties, and how a pre-geometric, discrete notion of quantum causality can be implemented, as well as some recent results (based on random tensor network techniques) on the conditions for information transmission and holographic behaviour in quantum gravity states. Together, these features indicate that quantum information concepts and tools play a key role in defining the fundamental structure of quantum spacetime.