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Predictive Quantum Coherence Metrics for Teleportation under Noisy Conditions

Nadj, Neda

Published Nov 9, 2025• 0 citations
Publisher

Abstract

Abstract:This work introduces a set of original predictive coherence metrics — the Entropy Flow Index (EFI), Resonance Coherence Factor (RCF), and Drift Rate (DR) — derived from the SEPH 2.0 theoretical framework.These metrics expand conventional quantum teleportation analysis beyond retrospective fidelity evaluation, providing a predictive method for diagnosing coherence degradation in real time under noisy conditions. Based on the Lindblad master equation and validated through Qiskit simulations, the model quantifies entropy flow, coherence resonance, and information drift between quantum and classical domains.The results demonstrate that the proposed predictive fidelity function anticipates fidelity loss several time steps before it becomes observable, offering a new approach to adaptive noise control and quantum network calibration. The SEPH 2.0 metrics thus establish a unified bridge between quantum physics, thermodynamics, and information theory, connecting resonance, entropy, and meaning within a coherent mathematical continuum.

DOI
10.5281/zenodo.17566862

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Abstract The practical implementation of quantum information protocols is critically hindered by decoherence, which degrades essential quantum correlations. This paper investigates the dynamics of quantum correlations and the fidelity (FID) of quantum teleportation in a two-qubit system described by an anisotropic XXZ -Heisenberg model with the inclusion of bond-dependent Kitaev interactions and an external magnetic field. We model the system’s evolution under a dephasing noise channel using the Lindblad master equation formalism. The performance is quantified by tracking geometric quantum discord (GQD), (quantum mutual information, entanglement entropy (EE, and teleportation FID. Our numerical simulations reveal a rich interplay between the system’s internal Hamiltonian parameters and the external environment. We find that strong Heisenberg coupling ( J ) can induce periodic revivals of quantum correlations and FID, creating transient windows for robust protocol execution. Conversely, while moderate Kitaev interactions can help preserve non-classical correlations, strong Kitaev terms accelerate decoherence. The decoherence rate ( γ ) is identified as the most dominant factor, with a clear threshold beyond which quantum resources are rapidly lost. These findings provide crucial insights into engineering and controlling quantum spin systems to optimize their performance in noisy, real-world environments.