Quantum Information Processing

, Volume 14, Issue 7, pp 2551–2562 | Cite as

Entanglement and quantum teleportation in a three-qubit Heisenberg chain with three-site interactions

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Abstract

The thermal entanglement of a three-qubit XXZ Heisenberg model with three-site interactions in an external magnetic field, and the quantum teleportation via this model in thermal equilibrium state are investigated. It is found that entanglement and average fidelity depend on temperature, magnetic field, and anisotropy parameter \(J_Z\). Only ferromagnetic system is suitable for quantum teleportation. \(\hbox {XZX}+\hbox {YZY}\) interaction is in favor of entanglement, average fidelity, and critical temperatures, while \(\text{ XZY }- \hbox {YZX}\) interaction against all of them. Moreover, we also find entanglement does not fully reflect average fidelity in virtue of study the relation between entanglement and average fidelity.

Keywords

Spin chain Three-site interaction Concurrence  Quantum teleportation Fidelity 
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Notes

Acknowledgments

This project was supported by the Major Research Plan of the National Natural Science Foundation of China (Grant No. 2012CB922100), the Natural Science Foundation of Hubei Province, China (Grant No. 2011CDC010 ), and the Scientific Research Foundation of the Higher Education Institutions of Hubei Province, China (Grant No. D20092204 ).

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© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.College of Physics and Electronic ScienceHubei Normal UniversityHuangshiChina
  2. 2.College of Communication and Information EngineeringNanjing University of Posts and TelecommunicationsNanjingChina

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