Skip to main content
SpringerLink
Log in

Probabilistic Cloning of two Single-Atom States via Thermal Cavity

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

Abstract

We propose a cavity QED scheme for implementing the 1 → 2 probabilistic quantum cloning (PQC) of two single-atom states. In our scheme, after the to-be-cloned atom and the assistant atom passing through the first cavity, a measurement is carried out on the assistant atom. Based on the measurement outcome we can judge whether the PQC should be continued. If the cloning fails, the other operations are omitted. This makes our scheme economical. If the PQC is continued (with the optimal probability) according to the measurement outcome, two more cavities and some unitary operations are used for achieving the PQC in a deterministic way. Our scheme is insensitive to the decays of the cavities and the atoms.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1

Similar content being viewed by others

References

  1. Wootters, W.K., Zurek, W.H.: Nature (London) 299, 802 (1982)

    Article  ADS  Google Scholar 

  2. Buzek, V., Hillery, M.: Phys. Rev. A 54, 1844 (1996)

    Article  ADS  MathSciNet  Google Scholar 

  3. vanEnk, S.J., Rev, Phys.: Lett. 95, 010502 (2005)

    Article  Google Scholar 

  4. Ricci, M., et al.: Phys. Rev. Lett. 95, 090504 (2005)

    Article  ADS  Google Scholar 

  5. Fan, H., Imai, H., Matsumoto, K., Wang, X.B.: Phys. Rev. A 67, 022317 (2003)

    Article  ADS  Google Scholar 

  6. Navez, P., Cerf, N.J.: Phys. Rev. A 68, 032313 (2003)

    Article  ADS  Google Scholar 

  7. Fiurášek, J.: Phys. Rev. A 67, 052314 (2003)

    Article  ADS  Google Scholar 

  8. Qiu, D.W.: J. Phys. A 39, 5135 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  9. Zhang, W.H., Wu, T., Ye, L., Dai, J.L.: Phys. Rev. A 75, 044303 (2007)

    Article  ADS  Google Scholar 

  10. Buscemi, F., DAriano, G.M., Macchiavello, C.: Phys. Rev. A 71, 042327 (2005)

    Article  ADS  Google Scholar 

  11. Durt, T., Fiurasek, J., Cerf, N.J.: Phys. Rev. A 72, 052322 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  12. Zhang, W.H., Ye, L.: New J. Phys. 9, 318 (2007)

    Article  MathSciNet  Google Scholar 

  13. Scarani, V., Iblisdir, S., Gisin, N., Acín, A.: Rev. Mod Phys. 77, 1225 (2005)

    Article  ADS  Google Scholar 

  14. Černoch, A., et al.: Phys. Rev. A 74, 042327 (2006)

    Article  ADS  Google Scholar 

  15. Soubusta, J., Bartuskova, L., Cernoch, A., Fiurasek, J., Dusek, M.: Phys. Rev. A 76, 042318 (2007)

    Article  ADS  Google Scholar 

  16. Nagali, E., DeAngelis, T., Sciarrino, F., DeMartini, F.: Phys. Rev. A 76, 042126 (2007)

    Article  ADS  Google Scholar 

  17. Sabuncu, M., Andersen, U.L., Leuchs, G.: Phys. Rev. Lett. 98, 170503 (2007)

    Article  ADS  Google Scholar 

  18. Du, J.F., et al.: Phys. Rev. Lett. 94, 040505 (2005)

    Article  ADS  Google Scholar 

  19. Cummins, H.K., et al.: Phys. Rev. Lett. 88, 187901 (2002)

    Article  ADS  Google Scholar 

  20. Chen, H.W., Zhou, X., Suter, D., Du, J.F.: Phys. Rev. A 75, 012317 (2007)

    Article  ADS  Google Scholar 

  21. Duan, L.M., Guo, G.C.: Phys. Rev. Lett. 80, 4999 (1998)

    Article  ADS  Google Scholar 

  22. Galvão, E.F., Hardy, L.: Phys. Rev. A 62, 022301 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  23. Pati, A.K.: Phys. Rev. Lett. 83, 2849 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  24. Qiu, D.W.: J. Phys. A 39, 5135 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  25. Azuma, K., Shimamura, J., Koashi, M., Imoto, N.: Phys. Rev. A 72, 032335 (2005)

    Article  ADS  Google Scholar 

  26. Li, L., Qiu, D.W.: Phys. Lett. A 362, 143 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  27. Chefles, A., Barnett, S.M.: Phys. Rev. A 60, 136 (1999)

    Article  ADS  Google Scholar 

  28. Zhang, C.W., Wang, Z.Y., Li, C.F., C.F., Guo, G.C.: Phys. Rev. A 61, 062310 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  29. Chefles, A., Barnett, S.M.: J. Phys. A 31, 10097 (1998)

    Article  ADS  MathSciNet  Google Scholar 

  30. Qiu, D.W.: J. Phys. A 35, 6931 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  31. Duan, L.M., Guo, G.C.: Phys. Lett. A 243, 261 (1998)

    Article  ADS  MathSciNet  Google Scholar 

  32. Li, L.J., Qiu, D.W.: Phys. Lett. A 362, 143 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  33. Qiu, D.W.: Int. J. quantum Inf. 6, 1115 (2008)

    Article  Google Scholar 

  34. Qiu, D.W.: Phys. Rev. A 77, 012328 (2008)

    Article  ADS  Google Scholar 

  35. Jiménez, O., Bergou, J., Delgado, A.: Phys. Rev. A 82, 062307 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  36. Jiménez, O., Roa, L., Delgado, A.: Phys. Rev. A 82, 022328 (2010)

    Article  ADS  Google Scholar 

  37. Qiu, D.W., Li, L.J.: Phys. Rev. A 81, 042329 (2010)

    Article  ADS  Google Scholar 

  38. Guruprasad, K., Ramij, R.: Quantum Inf. Process. 11, 711 (2012)

    Article  MathSciNet  Google Scholar 

  39. Zhang, W.H., Dai, J.L., Cao, Z.L., Yang, M.: Opt. Commun. 283, 1956 (2010)

    Article  ADS  Google Scholar 

  40. Zhang, W.H., Yu, L.B., Cao, Z.L., Ye, L.: Phys. Rev. A 86, 022322 (2012)

    Article  ADS  Google Scholar 

  41. Chen, H.W., et al.: Phys. Rev. Lett 106, 180404 (2011)

    Article  ADS  Google Scholar 

  42. Araneda, G., Cisternas, N., Jiménez, O., Delgado, A.: Phys. Rev. A 86, 052332 (2012)

    Article  ADS  Google Scholar 

  43. Zhang, W., Rui, P.S., Zhang, Z.Y., Yang, Q.: New J. Phys. 16, 083019 (2014)

    Article  ADS  Google Scholar 

  44. Solano, E., Agarwal, G.S., Walther, H.: Phys. Rev. Lett. 90, 027903 (2003)

    Article  ADS  Google Scholar 

  45. Zheng, S.B.: Phys. Rev. A 66, 060303 (2002)

    Article  ADS  Google Scholar 

  46. SØrensen, A., MØlmer, K.: Phys. Rev. Lett. 82, 1971 (1999)

    Article  ADS  Google Scholar 

  47. Solano, E., deMatosFilho, R.L., Zagury, N.: Phys. Rev. A 59, 2539(R) (1999)

    Article  ADS  Google Scholar 

  48. Zheng, S.B.: Phys. Rev. A 68, 035801 (2003)

    Article  ADS  Google Scholar 

  49. Brune, M., Hagley, E., Dreyer, J., Maitre, X., et al.: Phys. Rev. Lett. 77, 4887 (1996)

    Article  ADS  Google Scholar 

  50. Zheng, S.B., Guo, G.C.: Phys. Rev. Lett. 85, 2392 (2000)

    Article  ADS  Google Scholar 

  51. Brune, M., Schmidt-Kaler, F., Maali, A., et al.: Phys. Rev. Lett. 76, 1800 (1996)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

This work is supported by the National Science Foundation of Anhui province (1508085SMA206, 1508085MF136).

Author information

Authors and Affiliations

  1. Anhui Xinhua University, Hefei, 230088, China

    Pin-Shu Rui & Dao-Jun Liu

Authors
  1. Pin-Shu Rui
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Dao-Jun Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Pin-Shu Rui.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Rui, PS., Liu, DJ. Probabilistic Cloning of two Single-Atom States via Thermal Cavity. Int J Theor Phys 55, 5055–5061 (2016). https://doi.org/10.1007/s10773-016-3126-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-016-3126-4

Keywords

Search

Navigation