Quantum teleportation via a two-qubit Heisenberg XXX chain with x-component of Dzyaloshinskii-Moriya interaction

TL;DR

This study explores how temperature, spin coupling, and Dzyaloshinskii-Moriya interaction affect entanglement and teleportation in a two-qubit Heisenberg XXX chain, highlighting conditions for feasible quantum teleportation.

Contribution

It investigates the impact of Dzyaloshinskii-Moriya interaction on thermal entanglement and teleportation in a Heisenberg XXX chain, providing insights into optimal conditions for quantum communication.

Findings

Entanglement depends on temperature, coupling, and Dzyaloshinskii-Moriya interaction.

Low temperature and weak Dzyaloshinskii-Moriya interaction favor entanglement.

Teleportation becomes feasible when the channel is entangled.

Abstract

In this paper, we investigate the thermal entanglement and teleportation of a thermally mixed entangled via a two-qubit Heisenberg XXX chain with the x-component $D_x$ of the Dzyaloshinskii-Moriya interaction. Our findings suggest that temperature $T$, spin coupling constant J, and the x-components $D_x$ may influence entanglement of the output states and, consequently, the possibilities of teleportation protocols. Furthermore, these results indicate that the entanglement of the output states requires a low-temperature regime, weak Dzyaloshinskii-Moriya interaction, or an antiferromagnetic chain. Finally, the channel becomes entangled, making the teleportation protocol conceivable and feasible.