EPR Pairs, Local Projections and Quantum Teleportation in Holography

TL;DR

This paper explores quantum operations in 2D conformal field theories, their holographic duals, and demonstrates a holographic analogue of quantum teleportation, introducing a new measure for tripartite entanglement.

Contribution

It introduces a comprehensive analysis of local projections, entanglement creation, and subsystem swapping in CFTs, and constructs a holographic model of quantum teleportation.

Findings

Holographic duals for local projections and entanglement operations are established.

A holographic analogue of quantum teleportation between CFTs is demonstrated.

A new measure for tripartite entanglement using local projections is proposed.

Abstract

In this paper we analyze three quantum operations in two dimensional conformal field theories (CFTs): local projection measurements, creations of partial entanglement between two CFTs, and swapping of subsystems between two CFTs. We also give their holographic duals and study time evolutions of entanglement entropy. By combining these operations, we present an analogue of quantum teleportation between two CFTs and give its holographic realization. We introduce a new quantity to probe tripartite entanglement by using local projection measurement.