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- Title
Entanglement teleportation in anisotropic Heisenberg XY spin model with Herring–Flicker coupling.
- Authors
Ait Chlih, Anas; Habiballah, Nabil; Nassik, Mostafa; Khatib, Driss
- Abstract
In this paper, the features of quantum teleportation of a maximally entangled input thermal state using a system, consisting of two qubits (spin-1/2) anisotropic XY Heisenberg model with Herring–Flicker coupling in the presence of a magnetic field, are discussed. So, we study the influence on the thermal entanglement of different physical parameters such as temperature (T) , magnetic field (B) , degree of anisotropy (δ) and distance (R) between the two spins. The goal is to determine the conditions of use of the system as a good channel to promote quantum teleportation. The amount of output entanglement is quantified by the concurrence (C out ) , and the quality of teleportation is analyzed using the concept of fidelity (F). It is shown that (C out ) presents a maximum at extremely low temperature for a large range of the parameter (R). Also, when we increase the temperature, we observe a dissipation of the appropriate range of (R) and the decrease of the amplitude of (C out ). Besides, under an external magnetic field (B) , we show the appearance of quantum phase transitions with the entanglement vanishing when the condition δ ∈ [ 0 , 1 [ is fulfilled, then the system can ensure the ideal communication transmission. Concerning the Ising model (δ = 1) in the ground state, the output entanglement is nonzero only in the presence of the magnetic field (B) , and this model is useful for ensuring a distorted transmission. At finite temperature, the fidelity (F) is less than the value 2/3, so that the system is useless as a quantum channel for providing quantum teleportation.
- Subjects
TELEPORTATION; QUANTUM teleportation; QUANTUM phase transitions; ISING model; HEISENBERG model; QUBITS
- Publication
Modern Physics Letters A, 2022, Vol 37, Issue 6, p1
- ISSN
0217-7323
- Publication type
Article
- DOI
10.1142/S0217732322500389