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International Journal of Theoretical Physics

, Volume 53, Issue 8, pp 2538–2548 | Cite as

Optimal Entanglement Concentration of the Greenberger-Horne-Zeilinger States in Quantum-dot and Micro-cavity Coupled System

  • Yijun Wang
  • Jie Fu
  • Ying Guo
  • Ping Wang
  • Dazu HuangEmail author
Article
  • 122 Downloads

Abstract

The distillation of the triplet Greenberger-Horne-Zeilinger (GHZ) state is demonstrated by using the entanglement concentrating process for the partially electron-spin-entangled systems. We designate an entanglement concentration protocol (ECP) in the quantum-dot (QD) and micro-cavity coupled systems based on the post-selection, from which the partially entangled state can be concentrated with an aid of the ancillary QD and single photon. This protocol can be repeated several rounds to get an optimal success probability. With the current technology, the maximally entangled electron spins can be achieved in the GHZ states after performing some suitable unitary operation locally for the long-distance quantum communications. The advantage is that during the whole process only the single photon needs to pass through the micro-cavity which increases the total success probability even if the cavity is imperfect in implementations.

Keywords

Entanglement Bell state Greenberger-Horne-Zeilinger state Entanglement distillation Quantum communications Quantum information 

References

  1. 1.
    Nielsen, M., Chuang, I.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)zbMATHGoogle Scholar
  2. 2.
    Guo, Y., Lee, M.H., Zeng, G.: Quant. Infor. Proces. 12(4), 1659 (2013)ADSCrossRefzbMATHMathSciNetGoogle Scholar
  3. 3.
    Pan, J.W., Simon, C., Zellinger, A.: Nature (London) 410, 1067 (2001)ADSCrossRefGoogle Scholar
  4. 4.
    Simon, C., Pan, J.W.: Phys. Rev. Lett. 89, 257901 (2002)ADSCrossRefGoogle Scholar
  5. 5.
    Sheng, Y.B., Deng, F.G., Zhou, H.Y.: Phys. Rev. A 77, 042308 (2008)ADSCrossRefGoogle Scholar
  6. 6.
    Deutsch, D., Ekert, A., Jozsa, R., Macchiavello, C., Popescu, S., Sanpera, A.: Phys. Rev. Lett. 77, 2818 (1996)ADSCrossRefGoogle Scholar
  7. 7.
    Bennett, C.H., Bernstein, H.J., Popescu, S., Schumacher, B.: Phys. Rev. A 53, 2046 (1996)ADSCrossRefGoogle Scholar
  8. 8.
    Shi, B.S., Jiang, Y.K., Guo, G.C.: Phys. Rev. A 62, 054301 (2000)ADSCrossRefGoogle Scholar
  9. 9.
    Paunković, N., Omar, Y., Bose, S., Vedral, V.: Phys. Rev. Lett. 88, 187903 (2002)ADSCrossRefGoogle Scholar
  10. 10.
    Yamamoto, T., Koashi, M., Imoto, N.: Phys. Rev A 64, 012304 (2001)ADSCrossRefGoogle Scholar
  11. 11.
    Yamamoto, T., Koashi, M., Ozdemir, S.K., Imoto, N.: Nature (London) 421, 343 (2003)ADSCrossRefGoogle Scholar
  12. 12.
    Sheng, Y.B., Deng, F.G., Zhou, H.Y.: Phys. Rev. A 77, 062325 (2008)ADSCrossRefGoogle Scholar
  13. 13.
    Deng, F.G.: Phys. Rev. A 85, 022311 (2012)ADSCrossRefGoogle Scholar
  14. 14.
    Zhang, L.H., Yang, M., Cao, Z.L.: Physica A 374, 611 (2007)ADSCrossRefGoogle Scholar
  15. 15.
    Wang, C., Zhang, Y., Jin, G.S.: Phys. Rev. A 84, 032307 (2011)ADSCrossRefGoogle Scholar
  16. 16.
    Wang, C.: Phys. Rev. A 86, 012323 (2012)ADSCrossRefGoogle Scholar
  17. 17.
    Bonato, C., Haupt, F., Oemrawsingh, S.S.R., Gudat, J., Ding, D., van Exter, M.P., Bouwmeester, D.: Phys. Rev. Lett. 104, 160503 (2010)ADSCrossRefGoogle Scholar
  18. 18.
    Young, A.B., Oulton, R., Hu, C.Y., et al.: Phys. Rev. A 84, 011803(R) (2011)ADSCrossRefGoogle Scholar
  19. 19.
    Hu, C.Y., Rarity, J.G.: Phys. Rev. B 83, 115303 (2011)ADSCrossRefGoogle Scholar
  20. 20.
    Dur, W., Vidal, G., Cirac, J.I.: Phys. Rev. A 62, 062314 (2000)ADSCrossRefMathSciNetGoogle Scholar
  21. 21.
    Bonato, C., Haupt, F., Oemrawsingh, S.S.R., Gudat, J., Ding, D., van Exter, M.P., Bouwmeester, D.: Phys. Rev. Lett. 104, 160503 (2010)ADSCrossRefGoogle Scholar
  22. 22.
    Wang, C., Zhang, Y., Jin, G.-S.: Phys. Rev. A 84, 032307 (2011)ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Yijun Wang
    • 1
  • Jie Fu
    • 1
  • Ying Guo
    • 1
    • 2
  • Ping Wang
    • 1
  • Dazu Huang
    • 1
    • 3
    Email author
  1. 1.School of Information Science and EngineeringCentral South UniversityChangshaChina
  2. 2.Institute of Physics and Information ScienceHunan Normal UniversityChangshaChina
  3. 3.Department of Information ManagementHunan University of Finance and EconomicsChangshaChina

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