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International Journal of Theoretical Physics

, Volume 55, Issue 11, pp 4866–4877 | Cite as

Enhancing the Trace Norm and Bures Norm Measurement-Induced Nonlocality in the Heisenberg XYZ Model

  • Yu-Xia Xie
  • Jing Liu
  • Hong Ma
Article

Abstract

Nonlocality is one unique characteristic of quantum mechanics and an essential resource for quantum communication and computation. We investigate two measures of the well-defined geometric measurement-induced nonlocality (MIN) in the Heisenberg XYZ model, and found that considerable enhancement of the MINs can be achieved by tuning strength of the anisotropic parameter, the J z coupling, and the Dzyaloshinsky-Moriya (DM) interaction of the model. Particularly, the maxima of the two MINs can be obtained when the strength of the J z coupling or the DM interaction approaches infinity. We have also demonstrated the singular behaviors of the two MINs such as the nonunique states ordering and the sudden change behaviors.

Keywords

Measurement-induced nonlocality Dzyaloshinsky-Moriya interaction Heisenberg model 

Notes

Acknowledgments

This work was supported by National Natural Science Foundation of China (11205121), New Star Project of Science and Technology of Shaanxi Province (2016KJXX-27), and the Doctoral Fund of XUPT (Grant No. ZL2015).

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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.School of ScienceXi’an University of Posts and TelecommunicationsXi’anChina

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