Skip to main content
Log in

Polarization-Entanglement Purification for Ideal Sources Using Weak Cross-Kerr Nonlinearity

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

We propose an entanglement purification protocol (EPP) for ideal entangled photon sources resorting to weak cross-Kerr nonlinearities. The key element of this EPP is the quantum nondemolition detector (QND) which uses weak cross-Kerr nonlinearity effect to generate phase shifts on the coherent states conditionally. By exploiting the double cross-phase modulation (XPM) method in QND, we present an efficient EPP protocol, which reduces the requirement for coupling strength of the cross-Kerr nonlinearity medium. The proposed protocol may open up promising possibilities for the practicability of quantum information processing using weak cross-Kerr nonlinearities.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. Ekert, A., Jozsa, R.: Rev. Mod. Phys. 68, 733 (1996)

    Article  MathSciNet  ADS  Google Scholar 

  2. Raussendorf, R., Briegel, H.J.: Phys. Rev. Lett. 86, 5188 (2001)

    Article  ADS  Google Scholar 

  3. Bennett, C.H., Brassard, G., Crepeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Phys. Rev. Lett. 70, 1895 (1993)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. Ekert, A.K.: Phys. Rev. Lett. 67, 661 (1991)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. Bennett, C.H., Brassard, G., Mermin, N.D.: Phys. Rev. Lett. 68, 557 (1992)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. Long, G.L., Liu, X.S.: Phys. Rev. A 65, 032302 (2002)

    Article  ADS  Google Scholar 

  7. Deng, F.G., Long, G.L.: Phys. Rev. A 68, 042315 (2003)

    Article  ADS  Google Scholar 

  8. Li, X.H., Deng, F.G., Zhou, H.Y.: Phys. Rev. A 78, 022321 (2008)

    Article  ADS  Google Scholar 

  9. Bennett, C.H., Wiesner, S.J.: Phys. Rev. Lett. 69, 2881 (1992)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. Liu, X.S., Long, G.L., Tong, D.M., Li, F.: Phys. Rev. A 65, 022304 (2002)

    Article  ADS  Google Scholar 

  11. Grudka, A., Wójcik, A.: Phys. Rev. A 66, 014301 (2002)

    Article  ADS  Google Scholar 

  12. Deng, F.G., Long, G.L.: Phys. Rev. A 68, 042317 (2003)

    Article  ADS  Google Scholar 

  13. Deng, F.G., Long, G.L.: Phys. Rev. A 69, 052319 (2004)

    Article  ADS  Google Scholar 

  14. Wang, C., Deng, F.G., Li, Y.S., Liu, X.S., Long, G.L.: Phys. Rev. A 71, 044305 (2005)

    Article  ADS  Google Scholar 

  15. Wang, C., Deng, F.G., Long, G.L.: Opt. Commun. 253, 15 (2005)

    Article  ADS  Google Scholar 

  16. Li, X.H., Deng, F.G., Zhou, H.Y.: Phys. Rev. A 74, 054302 (2006)

    Article  ADS  Google Scholar 

  17. Li, X.H., Deng, F.G., Zhou, H.Y.: Appl. Phys. Lett. 91, 144101 (2007)

    Article  ADS  Google Scholar 

  18. Deng, F.G., Li, X.H., Zhou, H.Y.: Quantum Inf. Comput. 11, 0913 (2011)

    MathSciNet  Google Scholar 

  19. Bennett, C.H., Brassard, G., Popescu, S., Schumacher, B., Smolin, J.A., Wootters, W.K.: Phys. Rev. Lett. 76, 722 (1996)

    Article  ADS  Google Scholar 

  20. Deutsch, D., Ekert, A., Jozsa, R., Macchiavello, C., Popescu, S., Sanpera, A.: Phys. Rev. Lett. 77, 2818 (1996)

    Article  ADS  Google Scholar 

  21. Briegel, H.J., Dür, W., Cirac, J.I., Zoller, P.: Phys. Rev. Lett. 81, 5932 (2000)

    Article  ADS  Google Scholar 

  22. Pan, J.W., Simon, C., Zellinger, A.: Nature 410, 1067 (2001)

    Article  ADS  Google Scholar 

  23. Pan, J.W., Gasparonl, S., Ursin, R., Weihs, G., Zellinger, A.: Nature 423, 417 (2003)

    Article  ADS  Google Scholar 

  24. Simon, C., Pan, J.W.: Phys. Rev. Lett. 89, 257901 (2002)

    Article  ADS  Google Scholar 

  25. Sheng, Y.B., Deng, F.G.: Phys. Rev. A 82, 044305 (2010)

    Article  ADS  Google Scholar 

  26. Deng, F.G.: Phys. Rev. A 83, 062316 (2011)

    Article  ADS  Google Scholar 

  27. Sheng, Y.B., Long, G.L., Deng, F.G.: Phys. Lett. A 376, 314–319 (2012)

    Article  ADS  MATH  Google Scholar 

  28. Li, X.H.: Phys. Rev. A 82, 044304 (2010)

    Article  ADS  Google Scholar 

  29. Nemoto, K., Munro, W.J.: Phys. Rev. Lett. 93, 250502 (2004)

    Article  ADS  Google Scholar 

  30. Lin, Q., He, B.: Phys. Rev. A 80, 042310 (2009)

    Article  ADS  Google Scholar 

  31. Lin, Q., He, B.: Phys. Rev. A 80, 062312 (2009)

    Article  ADS  Google Scholar 

  32. Jin, G.S., Lin, Y., Wu, B.: Phys. Rev. A 75, 054302 (2007)

    Article  ADS  Google Scholar 

  33. Gao, M., Hu, W.H., Li, C.Z.: J. Phys. B 40(17), 3525 (2007)

    ADS  Google Scholar 

  34. Barrett, S.D., Kok, P., Nemoto, K., Beausoleil, R.G., Munro, W.J., Spiller, T.P.: Phys. Rev. A 71, 060302(R) (2005)

    ADS  Google Scholar 

  35. Sheng, Y.B., Deng, F.G., Long, G.L.: Phys. Rev. A 82, 032318 (2010)

    Article  ADS  Google Scholar 

  36. Sheng, Y.B., Deng, F.G., Zhou, H.Y.: Phys. Rev. A 77, 062325 (2008)

    Article  ADS  Google Scholar 

  37. Sheng, Y.B., Deng, F.G., Zhou, H.Y.: Quantum Inf. Comput. 10, 272–281 (2010)

    MathSciNet  MATH  Google Scholar 

  38. Deng, F.G.: Phys. Rev. A 85, 022311 (2012)

    Article  ADS  Google Scholar 

  39. Du, F.F., Li, T., Ren, B.C., Wei, H.R., Deng, F.G.: J. Opt. Soc. Am. B 29, 1399–1405 (2012)

    Article  ADS  Google Scholar 

  40. Sheng, Y.B., Deng, F.G., Zhou, H.Y.: Phys. Rev. A 77, 042308 (2008)

    Article  ADS  Google Scholar 

  41. Sheng, Y.B., Deng, F.G., Zhao, B.K., Wang, T.J., Zhou, H.Y.: Eur. Phys. J. D 55, 235 (2009)

    ADS  Google Scholar 

  42. Sheng, Y.B., Deng, F.G.: Phys. Rev. A 81, 032307 (2010)

    Article  ADS  Google Scholar 

  43. Wang, C., Zhang, Y., Jin, G.S.: Quantum Inf. Comput. 11, 988 (2011)

    MathSciNet  MATH  Google Scholar 

  44. Deng, F.G.: Phys. Rev. A 84, 052312 (2011)

    Article  ADS  Google Scholar 

  45. Kok, P., Munro, W.J., Nemoto, K., Ralph, T.C., Dowling, J.P., Milburn, G.J.: Rev. Mod. Phys. 79, 135 (2007)

    Article  ADS  Google Scholar 

  46. Munro, W.J., Nemoto, K., Beausoleil, R.G., Spiller, T.P.: Phys. Rev. A 71, 033819 (2005)

    Article  ADS  Google Scholar 

  47. Scully, M.O., Zubairy, M.S.: Quantum Optics. Cambridge University Press, Cambridge (1997)

    Google Scholar 

  48. He, B., Ren, Y., Bergou, J.A.: Phys. Rev. A 79, 052323 (2009)

    Article  ADS  Google Scholar 

  49. He, B., Nadeem, M., Bergou, J.A.: Phys. Rev. A 79, 035802 (2009)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

This work is supported by the National Fundamental Research Program Grant No. 2010CB923202, Specialized Research Fund for the Doctoral Program of Education Ministry of China No. 20090005120008, the Fundamental Research Funds for the Central Universities, China National Natural Science Foundation Grant Nos. 60937003, 61178010 and 61205117.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chuan Wang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Cao, C., Wang, C., He, Ly. et al. Polarization-Entanglement Purification for Ideal Sources Using Weak Cross-Kerr Nonlinearity. Int J Theor Phys 52, 1265–1273 (2013). https://doi.org/10.1007/s10773-012-1441-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-012-1441-y

Keywords

Navigation