Nonlocal correlations in quantum energy teleportation: perspectives from their Majorana representations and information thermodynamics

TL;DR

This paper explores quantum energy teleportation in spin models using Majorana fermions, revealing how nonlocal correlations enable energy transfer and discussing thermodynamic aspects at zero temperature.

Contribution

It introduces a protocol for quantum energy teleportation based on Majorana fermions and derives formulas linking energy transfer to nonlocal correlations.

Findings

Energy extraction is positive when nonlocal Majorana correlators are finite.

Energy reduction at Bob's site becomes positive with certain nonlocal correlations.

The protocol's effectiveness is connected to feedback operations involving Majorana fermions.

Abstract

Motivated by anomalous nonlocal correlation in the Kitaev spin liquids, we propose a quantum energy teleportation protocol between remote partners Alice and Bob on a quantum spin model, and examine how its performance is characterized by Majorana fermions that clearly depict nonlocal correlations inherent in the model. In our model, Bob's energy extraction is activated by local energy injection by Alice's projective measurement and subsequent classical communication of the measurement result. We derive two formulae: one for the maximally extracted energy by the protocol and the other for the maximum of energy reduction at Bob's local site. We find that the extracted energy becomes positive when a nonlocal correlator defined by Majorana fermions at Alice's and Bob's sites is finite. We also find that the amount of the energy reduction becomes positive when another nonlocal Majorana correlator is finite. In both formulae, the correlators appear as a result of Bob's feedback unitary operation. We discuss effective information-thermodynamical aspects behind the protocol at zero temperature.