Quantum Energy Teleportation versus Information Teleportation

TL;DR

This paper explores the relationship between quantum energy teleportation (QET) and quantum information teleportation (QIT), revealing they are distinct yet competitively constrained phenomena in entangled systems, with implications for quantum resource management.

Contribution

It provides the first analysis of the connection between QET and QIT, establishing a universal trade-off bound and demonstrating their mutual competition in entangled quantum systems.

Findings

QET and QIT are distinct phenomena that compete for entanglement resources.

A perturbative trade-off relation exists between QET and QIT in a many-body system.

A universal non-perturbative bound constrains combined QET and QIT performance.

Abstract

Quantum energy teleportation (QET) is the phenomenon in which locally inaccessible energy is activated as extractable work through collaborative local operations and classical communication (LOCC) with an entangled partner. It closely resembles the more well-known quantum information teleportation (QIT) where quantum information can be sent through an entangled pair with LOCC. It is tempting to ask how QET is related to QIT. Here we report a first study of this connection. Despite the apparent similarity, we show that these two phenomena are not only distinct but moreover are mutually competitive. We show a perturbative trade-off relation between their performance in a thermal entangled chaotic many-body system, in which both QET and QIT are simultaneously implemented through a traversable wormhole in an emergent spacetime. Motivated by this example, we study a generic setup of two entangled qudits and prove a universal non-perturbative trade-off bound. It shows that for any teleportation protocol, the overall performance of QET and QIT together is constrained by the entanglement resource. We discuss some explanations of our results.