Curator's Take
AI Commentary
This article delivers the first closed‑form link between basis‑independent coherence, three‑qubit entanglement (via the CKW three‑tangle), and teleportation fidelity when realistic noise—amplitude or phase damping—is present. By showing that amplitude damping imposes a state‑dependent fidelity threshold while phase damping leaves quantum advantage intact until full dephasing, it gives hardware engineers concrete criteria for choosing error‑mitigation strategies in multipartite communication links. The unified analytical framework therefore sharpens our understanding of how genuine tripartite entanglement translates into practical teleportation performance on noisy devices.
— Mark Eatherly
Summary
The influence of environmental decoherence on quantum teleportation is investigated by considering the three-qubit Maximally Sliced (MS) state as the shared entangled resource. Using the Kraus operator formalism, analytical expressions are derived for the teleportation fidelity under amplitude damping and phase damping channels. The corresponding basis-independent coherence is obtained, establishing explicit analytical relations between coherence and teleportation fidelity under both decoherence mechanisms. The results are further expressed in terms of the Coffman-Kundu-Wootters (CKW) three-tangle, thereby connecting genuine tripartite entanglement with teleportation performance. The analysis reveals distinct effects of the two noise channels: amplitude damping introduces a state-dependent threshold for achieving quantum teleportation, whereas phase damping preserves the quantum advantage until complete dephasing. These results provide a unified analytical framework for understanding the interplay among multipartite entanglement, quantum coherence and teleportation in noisy three-qubit MS states.