Teleportation of the one-qubit state with environment-disturbed recovery operations

TL;DR

This paper investigates the robustness of one-qubit teleportation protocols under environmental decoherence, revealing conditions under which nonclassical fidelity is maintained and how different noise types affect protocol fragility.

Contribution

It analyzes the impact of environment-disturbed recovery operations and identifies critical times and environmental conditions affecting teleportation fidelity.

Findings

Imperfect recovery operations do not prevent nonclassical fidelity with an ideal channel.

A critical time $t_{0,c}$ exists beyond which teleportation fails under decoherence.

Teleportation is more fragile under noisy environments than dissipative or dephasing ones.

Abstract

We study standard protocol $\mathcal{P}_0$ for teleporting the one-qubit state with both the transmission process of the two qubits constitute the quantum channel and the recovery operations performed by Bob disturbed by the decohering environment. The results revealed that Bob's imperfect operations do not eliminate the possibility of nonclassical teleportation fidelity provided he shares an ideal channel state with Alice, while the transmission process is constrained by a critical time $t_{0,c}$ longer than which will result in failure of $\mathcal{P}_0$ if the two qubits are corrupted by the decohering environment. Moreover, we found that under the condition of the same decoherence rate $\gamma$, the teleportation protocol is significantly more fragile when it is executed under the influence of the noisy environment than those under the influence of the dissipative and dephasing environments.