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Alexandria Engineering Journal

Entanglement and teleportation in thermal states of spin chains with nonlinear coupling

Nour Zidan, Ahmed Redwan, Tarek M. El-Shahat, Montasir Qasymeh, Mahmoud Abdel‐Aty

Published May 22, 2024• 0 citations
Publisher

Abstract

The impact of nonlinear coupling on entanglement and teleportation in a two-qubit spin system featuring Dzyaloshinskii–Moriya (DM) interaction was investigated while considering both homogeneous and inhomogeneous magnetic fields. Additionally, the dependencies of entanglement and teleportation on temperature and magnetic field for this specific interaction were analyzed. The findings demonstrate that the nonlinear coupling and DM interaction play significant roles in enhancing entanglement and teleportation. Furthermore, the results show that nonlinear coupling can positively affect the negativity and accuracy of teleportation, which are critical factors in quantum information processing. This suggests that nonlinear coupling could be valuable in developing quantum technologies.

DOI
10.1016/j.aej.2024.05.026

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The impact of nonlinear coupling on entanglement and teleportation in a two-qubit spin system featuring Dzyaloshinskii–Moriya (DM) interaction was investigated while considering both homogeneous and inhomogeneous magnetic fields. Additionally, the dependencies of entanglement and teleportation on temperature and magnetic field for this specific interaction were analyzed. The findings demonstrate that the nonlinear coupling and DM interaction play significant roles in enhancing entanglement and teleportation. Furthermore, the results show that nonlinear coupling can positively affect the negativity and accuracy of teleportation, which are critical factors in quantum information processing. This suggests that nonlinear coupling could be valuable in developing quantum technologies.
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Abstract The Dzyaloshinskii–Moriya (DM) interaction has been proved to excite entanglement of spin systems, enhancing the ability to realizing various quantum tasks such as teleportation. In this work we consider DM interaction—to the best of our knowledge for the first time—in quantum game theory. We study the winning probability of the magic square game played with the thermally entangled state of spin models under external magnetic fields and DM interaction. We analytically show that although DM interaction excites the entanglement of the system as expected, it surprisingly reduces the winning probability of the game, acting like temperature or magnetic fields, and also show that the effects of DM interaction and an inhomogeneous magnetic field on the winning probability are identical. In addition, we show that the XXZ model is considerably more robust than the XX model against destructive effects. Our results open up new insights for quantum information processing with spin systems.