Holographic Entanglement Propagation Through Wormholes

TL;DR

This paper explores how entanglement and energy transfer occur through wormholes in holographic duals, demonstrating quantum teleportation and enhanced mutual information in entangled CFTs via explicit calculations.

Contribution

It provides explicit CFT calculations showing entanglement transfer through AdS wormholes and interprets local operator insertions as quantum teleportation.

Findings

Entanglement transfer occurs via AdS wormholes.

Local operator insertion acts as a quantum teleportation process.

Mutual information is enhanced by local operator excitation.

Abstract

We study how energy and quantum entanglement are transferred when two identical CFTs are entangled locally. This is probed by considering a local operator insertion in one of the CFTs. When the CFTs have holographic duals via the AdS/CFT correspondence, the transfer happens through an AdS wormhole that allows signal propagation even beyond the horizon from one AdS boundary to the other; we demonstrate this in explicit CFT calculations. We argue that this transmission is possible because the insertion of a local operator is not a unitary process but a regularized version of projection measurement, and that this is interpreted as quantum teleportation. We also find that this leads to a phenomenon opposite to scrambling, where mutual information, instead of being suppressed, gets enhanced by the insertion of a local operator excitation.