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

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.

35 pages, 5 figures

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• Many-body quantum teleportation via operator spreading in the traversable wormhole protocol
• Quantum Gravity in the Lab: Teleportation by Size and Traversable Wormholes, Part II
• Wormholes & Holography: An Introduction
• Regenesis and quantum traversable wormholes
• General Relativistic Wormhole Connections from Planck-Scales and the ER = EPR Conjecture
• A Traversable Wormhole Teleportation Protocol in the SYK Model
• Traversable wormholes in AdS and bounds on information transfer
• Transparentizing Black Holes to Eternal Traversable Wormholes
• Covariant quantum corrections to a scalar field model inspired by nonminimal natural inflation
• Holographic teleportation in higher dimensions
• Worldsheet traversable wormholes
• Traversable wormholes via a double trace deformation involving $U(1)$ conserved current operators
• Wormhole Traversability via Quantum Random Walks
• Sparse SYK and traversable wormholes
• Black Hole Complementarity and ER/EPR