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International Journal of Theoretical Physics

, Volume 53, Issue 7, pp 2304–2311 | Cite as

Deterministic Entanglement Purification of the Greenberger-Horne-Zeilinger States in Quantum-Dot and Micro-cavity Coupled System

  • Yi Jun Wang
  • Jie Fu
  • Ying Guo
  • Dazu HuangEmail author
Article
  • 106 Downloads

Abstract

An improved purification of the triplet Greenberger-Horne-Zeilinger (GHZ) state is demonstrated for the electron-spin-entangled state in the quantum-dot (QD) and micro-cavity coupled systems. In order to distill the maximally entangled GHZ state efficiently, we designate a deterministic entanglement purification protocol (EPP) by using a pair of the triplet-electron-spin-entangled systems. It is based on the elegant parity-check operations performed in the cavity-spin-coupling system with the assistance of an ancillary single photon. With the current and feasible technology, the maximally entangled GHZ states can be achieved as much as flexible for the long-distance quantum communications since only single-photon detection and single-electron detection are required in practice.

Keywords

Entanglement Quantum purification Greenberger-Horne-Zeilinger state Quantum information 

Notes

Acknowledgements

This work was supported by the National Natural Science Foundation of China (61272495, 61379153), the New Century Excellent Talents in University, China (NCET-11-0510), and partly by China Postdoctoral Science Foundation.

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.: Quantum Inf. Process. 12(4), 1659 (2013) ADSCrossRefzbMATHMathSciNetGoogle Scholar
  3. 3.
    Deutsch, D., Ekert, A., Jozsa, R., Macchiavello, C., Popescu, S., Sanpera, A.: Phys. Rev. Lett. 77, 2818 (1996) ADSCrossRefGoogle Scholar
  4. 4.
    Pan, J.W., Simon, C., Zellinger, A.: Nature (London) 410, 1067 (2001) ADSCrossRefGoogle Scholar
  5. 5.
    Simon, C., Pan, J.W.: Phys. Rev. Lett. 89, 257901 (2002) ADSCrossRefGoogle Scholar
  6. 6.
    Sheng, Y.B., Deng, F.G., Zhou, H.Y.: Phys. Rev. A 77, 042308 (2008) ADSCrossRefGoogle Scholar
  7. 7.
    Li, X.H.: Phys. Rev. A 82, 044304 (2010) ADSCrossRefGoogle Scholar
  8. 8.
    Deng, F.G.: Phys. Rev. A 83, 062316 (2011) ADSCrossRefGoogle Scholar
  9. 9.
    Deng, F.G.: Phys. Rev. A 84, 052312 (2011) ADSCrossRefGoogle Scholar
  10. 10.
    Feng, X.L., Kwek, L.C., Oh, C.H.: Phys. Rev. A 71, 064301 (2005) ADSCrossRefGoogle Scholar
  11. 11.
    Beenakker, C.W.J., Divincenzo, D.P., Emary, C., Kindermann, M.: Phys. Rev. Lett. 93, 020501 (2004) ADSCrossRefGoogle Scholar
  12. 12.
    Waks, E., Vuckovic, J.: Phys. Rev. Lett. 96, 153601 (2006) ADSCrossRefGoogle Scholar
  13. 13.
    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
  14. 14.
    Hu, C.Y., Rarity, J.G.: Phys. Rev. B 83, 115303 (2011) ADSCrossRefGoogle Scholar
  15. 15.
    Wang, C., Zhang, Y., Jin, G.S.: Phys. Rev. A 84, 032307 (2011) ADSCrossRefGoogle Scholar
  16. 16.
    Young, A.B., Oulton, R., Hu, C.Y., et al.: Phys. Rev. A 84, 011803(R) (2011) 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.
    Wang, C., Zhang, Y., Jin, G.-S.: Phys. Rev. A 84, 032307 (2011) ADSCrossRefGoogle Scholar
  19. 19.
    Xu, X., Yao, W., Sun, B., Steel, D.G., Bracker, A.S., Gammon, D., Sham, L.J.: Nature (London) 459, 1105 (2009) ADSCrossRefGoogle Scholar
  20. 20.
    Gallardo, E., Martinez, L.J., Nowak, A.K., Sarkar, D., Medlen, H.P., Calleja, J.M., Tejedor, C., Prieto, I., Granados, D., Taboada, A.G., Garcia, J.M., Postigo, P.A.: Phys. Rev. B 81, 193301 (2010) ADSCrossRefGoogle Scholar
  21. 21.
    Reithmaier, J.P., Sek, G., Hofmann, C., Kuhn, S., Reitzenstein, S., Keldysh, L.V., Kulakovskii, V.D., Reinecke, T.L., Forchel, A.: Nature (London) 432, 197 (2004) ADSCrossRefGoogle Scholar
  22. 22.
    Birkedal, D., Leosson, K., Hvam, J.M.: Phys. Rev. Lett. 87, 227401 (2001) ADSCrossRefGoogle Scholar
  23. 23.
    Berezovsky, J., Mikkelsen, M.H., Stoltz, N.G., Coldren, L.A., Awschalom, D.D.: Science 320, 349 (2008) ADSCrossRefGoogle Scholar
  24. 24.
    Faraon, A., Majumdar, A., Kim, H., Petroff, P., Vuckovic, J.: Phys. Rev. Lett. 104, 047402 (2010) ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.School of Information Science & EngineeringCentral South UniversityChangshaChina
  2. 2.Department of Information ManagementHunan University of Finance and EconomicsChangshaChina

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