Dynamics of Quantum Entanglement in Transverse-Field Ising-Interacting Two-Qubit Systems Subject to Local Amplitude Decoherence

Kaiyang Liu

doi:10.54254/2753-8818/2026.DL33671

Kaiyang Liu^*

Dulwich International High School Programme Suzhou (DHSZ)

^* Corresponding author: 3122679685@qq.com

Published: 18 May 2026

DOI: https://doi.org/10.54254/2753-8818/2026.DL33671

Abstract

Quantum entanglement is a cornerstone of quantum technologies, but its susceptibility to environmental noise hinders practical implementations. This study investigates the entanglement dynamics in a two-qubit system governed by a transverse-field Ising Hamiltonian and exposed to local amplitude decoherence via the Lindblad master equation. Beginning with a maximally entangled Bell state, we numerically integrate the density matrix evolution using QuTiP. Entanglement, measured by concurrence, displays oscillatory decay influenced by the coupling J, transverse field B, and decoherence rate γ. Analytical benchmarks, including the unitary limit C(t) ≈ |cos(2Bt)| and non-interacting limit C(t) =ⅇ−2γt, corroborate the simulations. Scans across J/γ reveal that for |J|/γ > 1, entanglement lifetime (time until C < 0.5) can extend by factors of 2–10 relative to weak coupling cases, attributed to interaction-induced level splitting that mitigates damping. Bloch vectors exhibit spiraling contraction in the x-z plane toward the excited state pole, while von Neumann entropy rises in tandem with disentanglement, underscoring decoherence-driven mixing. Local observables such as 〈σ_z〉 oscillate amid relaxation to near-zero equilibrium. At finite temperature (T = 10 mK, n_th = 0.01), lifetime shortens by ~10–20% due to thermal excitations. Anchored in parameters from IBM Eagle and Google Sycamore processors, these results elucidate interaction's protective role against decoherence, offering design guidelines for resilient superconducting qubits in quantum computing and sensing. This work resolves prior inconsistencies in interaction-damping interplay and proposes testable conjectures for entanglement plateaus at specific J/γ ratios.

Keywords: Quantum Entanglement , Concurrence , Transverse-Field Ising Model , Amplitude Decoherence , Superconducting Qubits

TNS Vol.174

ISSN (Print): 2753-8818

ISSN (Online): 2753-8826

ISBN (Print): 978-1-80590-782-4

ISBN (Online): 978-1-80590-783-1

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Article Information

Received: 22 April 2026

Published: 18 May 2026

DOI: https://doi.org/10.54254/2753-8818/2026.DL33671

Article Type: Research Article

Cite this article

Liu,K. (2026). Dynamics of Quantum Entanglement in Transverse-Field Ising-Interacting Two-Qubit Systems Subject to Local Amplitude Decoherence. Theoretical and Natural Science,174,68-73.

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The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.

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Volume Title: TNS Vol.174

Part of Series: Theoretical and Natural Science

ISSN: 2753-8818 (Print) / 2753-8826 (Online)

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