Wormholes and entanglement in holography

TL;DR

This paper explores how highly entangled states in holographic theories correspond to non-traversable wormholes in the gravity dual, linking entanglement patterns to geometric structures.

Contribution

It provides a conceptual connection between entanglement in quantum states and wormhole geometries in holography, highlighting the geometric encoding of entanglement.

Findings

Entangled states correspond to wormhole geometries

Wormholes are non-traversable in the gravity dual

Entanglement patterns are encoded in spacetime geometry

Abstract

In this essay, we consider highly entangled states in theories with a gravity dual, where the entangled degrees of freedom are causally disconnected from each other. Using the basic rules of holography, we argue that there is a non-traversable wormhole in the gravity dual whose geometry encodes the pattern of the entanglement.