Traversable Wormholes as Quantum Channels: Exploring CFT Entanglement Structure and Channel Capacity in Holography

TL;DR

This paper explores traversable wormholes in AdS/CFT as quantum channels, analyzing their entanglement properties and capacity, and establishing a link between quantum information theory and gravitational physics.

Contribution

It introduces protocols to assess entanglement capacity and structure of boundary CFTs, connecting quantum channel concepts with holographic wormholes.

Findings

Protocols for bounding entanglement capacity

Criteria for classical bulk interpretation

Quantum channel perspective on wormholes

Abstract

We interpret the traversable wormhole in AdS/CFT in the context of quantum information theory. In particular, we investigate its properties as both a quantum channel and entanglement witness. We define protocols that allow either the bounding of the channel's entanglement capacity or the determination of aspects of the entanglement structure between the two boundary CFTs. Such protocols and connections allow for the use of quantum channel techniques in the study of gravitational physics and vice versa. More generally, our results suggest a purely quantum information-theoretic criterion for recognizing when the product of two boundary theories has a classical bulk interpretation.