Projections and teleportation of operator quenches in CFT

TL;DR

This paper explores a teleportation scenario in 2D conformal field theory involving operator quenches and projections, revealing universal entropy behaviors and implications for information recovery in black hole models.

Contribution

It introduces a novel setup combining operator quenches and boundary projections in CFT, analyzing Renyi entropies and uncovering universal n-dependent behaviors.

Findings

Teleportation occurs but is not optimal due to the projector's tuning.

Universal n dependence of Renyi entropies is observed.

The von Neumann entropy limit is non-trivial due to entropy behavior.

Abstract

Motivated by recent proposals for information recovery from black holes via non-isometric maps and post-selection in an effective description, we set up and investigate a teleportation scenario in a 2d CFT involving a local operator quench and projection on a portion of space onto a Cardy state with the theory in the vacuum state. Using conformal invariance the system can be mapped to CFT with boundary (BCFT). Renyi entropies for spatial intervals in the projected state can then be computed as a function of the location of the quench, either using the replica method, or using twist fields, the latter employing universal results for correlators at large c. We find qualitatively distinct behaviours in the two systems. Our replica computations reveal a surprising universal n dependence of Renyi entropies which implies that teleportation does occur but is not optimal as would be expected because the projector is not especially tuned. We also find that the curious n dependence of the Renyi entropies means that the limit to the von Neumann entropy is not straightforward.