Influence of Dephasing on the Entanglement Teleportation via a two-qubit Heisenberg XYZ system

TL;DR

This paper investigates how intrinsic decoherence affects entanglement and teleportation fidelity in a two-qubit Heisenberg XYZ system, identifying conditions for robust entangled states and optimal parameters for high-quality quantum teleportation.

Contribution

It analyzes the impact of dephasing on entanglement dynamics and teleportation performance, revealing conditions for maximally entangled states immune to decoherence.

Findings

Increasing spin-orbit interaction reduces entanglement and fidelity.

XY and XYZ systems can provide minimal entanglement resources for teleportation.

Certain maximally entangled states are immune to intrinsic decoherence.

Abstract

The entanglement dynamics of an anisotropic two-qubit Heisenberg XYZ system in the presence of intrinsic decoherence is studied. The usefulness of such system for performance of the quantum teleportation protocol ${\cal T}_0$ and entanglement teleportation protocol ${\cal T}_1$ is also investigated. The results depend on the initial conditions and the parameters of the system. For the product and maximally entangled initial states, increasing the size of spin-orbit interaction parameter $D$ amplifies the effects of dephasing and hence decreases the asymptotic entanglement and fidelity of teleportation. We show that the XY and XYZ Heisenberg systems provide a minimal resource entanglement, required for realizing efficient teleportation. Also, we find that for the some special cases there are some maximally entangled states which are immune to intrinsic decoherence. Therefore, it is possible to perform the quantum teleportation protocol ${\cal T}_0$ and the entanglement teleportation ${\cal T}_1$ with perfect quality by choosing a proper set of parameters and employing one of these maximally entangled robust states as initial state of the resource.