Quantum information elements in Quantum Gravity states and processes

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.