Quantum teleportation via a two-qubit Heisenberg XXZ chain-effects of anisotropy and magnetic field

TL;DR

This paper investigates how anisotropy and magnetic fields influence quantum teleportation fidelity using a two-qubit Heisenberg XXZ chain, revealing that entanglement is necessary but not always sufficient for successful teleportation.

Contribution

It provides a detailed analysis of the effects of anisotropy and magnetic fields on teleportation fidelity in a two-qubit Heisenberg XXZ model, highlighting conditions where entanglement suffices.

Findings

Teleportation fidelity depends on anisotropy and magnetic field parameters.

A nonzero entanglement is necessary but not always sufficient for teleportation.

Critical entanglement thresholds vary with system conditions.

Abstract

We study quantum teleportation via a two-qubit Heisenberg XXZ chain under an inhomogeneous magnetic field. We first consider entanglement teleportation, and then focus on the teleportation fidelity under different conditions. The effects of anisotropy and the magnetic field, both uniform and inhomogeneous, are discussed. We also find that, though entanglement teleportation does require an entangled quantum channel, a nonzero critical value of minimum entanglement is not always necessary.