Quantum Energy Teleportation with a Linear Harmonic Chain

TL;DR

This paper proposes a quantum energy teleportation protocol in a harmonic chain, utilizing measurements and displacements to transfer energy, with entanglement consumption bounded by the teleported energy.

Contribution

It introduces a novel quantum energy teleportation scheme for harmonic chains that links entanglement consumption to the amount of energy teleported.

Findings

Entanglement consumption is proportional to teleported energy.

The protocol successfully transfers energy using local measurements and operations.

Ground state entanglement is partially consumed during teleportation.

Abstract

A protocol of quantum energy teleportation is proposed for a one-dimensional harmonic chain. A coherent-state POVM measurement is performed to coupled oscillators of the chain in the ground state accompanied by energy infusion to the system. This measurement consumes a part of ground state entanglement. Depending on the measurement result, a displacement operation is performed on a distant oscillator accompanied by energy extraction from the zero-point fluctuation of the oscillator. We find that the amount of consumed entanglement is bounded from below by a positive value that is proportional to the amount of teleported energy.