Teleportation of the one-qubit state in decoherence environments

TL;DR

This paper investigates how decoherence affects the fidelity of quantum teleportation of a single qubit, showing that entanglement, purity, and directional decoherence influence teleportation quality.

Contribution

It provides a detailed analysis of the impact of decoherence on quantum teleportation, highlighting the importance of optimal channel state matching for high fidelity.

Findings

Decoherence causes distortion of the Bloch sphere in the output state.

Teleportation fidelity depends on both entanglement and purity of the channel.

Different input states experience different fidelities due to directional decoherence.

Abstract

We study standard quantum teleportation of one-qubit state for the situation in which the channel is subject to decoherence, and where the evolution of the channel state is ruled by a master equation in the Lindblad form. A detailed calculation reveals that the quality of teleportation is determined by both the entanglement and the purity of the channel state, and only the optimal matching of them ensures the highest fidelity of standard quantum teleportation. Also our results demonstrated that the decoherence induces distortion of the Bloch sphere for the output state with different rates in different directions, which implies that different input states will be teleported with different fidelities.