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This paper provides a rigorous analytical framework linking multipartite entanglement, quantum coherence, and teleportation fidelity in noisy three-qubit systems under amplitude and phase damping channels. By establishing explicit relations between these metrics using the Coffman-Kundu-Wootters measure, it clarifies how different decoherence mechanisms impact quantum advantage thresholds. These findings offer fundamental insights into optimizing resource states for robust quantum communication protocols against environmental noise.
Interplay between teleportation fidelity and basis-independent coherence in maximally sliced states under decoherence
arXiv:2608.03865v1 Announce Type: new Abstract: 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.
Abstract: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.
arXiv:2608.03865 [quant-ph]
(or arXiv:2608.03865v1 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2608.03865 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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Full text under the publisher's open licence · 226 words
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