Holographic maps from quantum gravity states as tensor networks
Eugenia Colafranceschi, Goffredo Chirco, Daniele Oriti
Abstract
We define bulk/boundary maps corresponding to quantum gravity states in the tensorial group field theory formalism, for quantum geometric models sharing the same type of quantum states of loop quantum gravity. The maps are defined in terms of a partition of the quantum geometric data associated to an open graph into bulk and boundary ones, in the spin representation. We determine the general condition on the entanglement structure of the state that makes the bulk/boundary map isometric (a necessary condition for holographic behavior), and we analyze different types of quantum states, identifying those that define isometric bulk-to-boundary maps.
Topics & Concepts
Quantum gravityQuantum entanglementLoop quantum gravityQuantum discordPhysicsSpin foamQuantum geometryQuantum stateQuantumQuantum mechanicsClassical mechanicsQuantum operationOpen quantum systemBlack Holes and Theoretical PhysicsNoncommutative and Quantum Gravity TheoriesCosmology and Gravitation Theories