Interplay between teleportation fidelity and basis-independent coherence in maximally sliced states under decoherence

This paper investigates the performance of the three-qubit Maximally Sliced (MS) state as a resource for quantum teleportation under the influence of environmental noise. The authors derive analytical expressions for teleportation fidelity and basis-independent coherence, examining how these metrics evolve when the system is subjected to amplitude damping (energy dissipation) and phase damping (loss of coherence) channels. By connecting these operational measures to the Coffman-Kundu-Wootters (CKW) three-tangle, the study provides a unified framework for understanding how genuine tripartite entanglement dictates the robustness of quantum communication protocols.

The researchers utilize the Kraus operator formalism to model the interaction between the three-qubit MS state and the environment. They calculate the reduced bipartite density matrix by tracing out one qubit, which serves as the quantum channel for teleportation. The study employs the maximal singlet fraction to determine teleportation fidelity and uses a basis-independent measure to quantify quantum coherence. By comparing these values across different noise parameters, the authors map the relationship between the intrinsic quantum resources of the state and its operational utility in noisy environments.

The study reveals that teleportation fidelity and basis-independent coherence are positively correlated across all considered noise conditions. Under amplitude damping, the system exhibits a state-dependent threshold where teleportation performance degrades as energy dissipation increases. Conversely, phase damping allows the system to maintain a quantum advantage—defined as fidelity exceeding the classical limit—until the point of complete dephasing. The results demonstrate that the MS state's tunable entanglement structure allows for a systematic assessment of how different decoherence mechanisms erode the quantum resources necessary for high-fidelity state transfer.