Skip to main content
Log in

Implementing of Quantum Cloning with Spatially Separated Quantum Dot Spins

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

Abstract

We propose some schemes for implementing optimal symmetric (asymmetric) 1 → 2 universal quantum cloning, optimal symmetric (asymmetric) 1 → 2 phase-covariant cloning, optimal symmetric 1 → 3 economical phase-covariant cloning and optimal symmetric 1 → 3 economical real state cloning with spatially separated quantum dot spins by choosing the single-qubit rotation angles appropriately. The decoherences of the spontaneous emission of QDs, cavity decay and fiber loss are suppressed since the effective long-distance off-resonant interaction between two distant QDs is mediated by the vacuum fields of the fiber and cavity, and during the whole process no system is excited.

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

Similar content being viewed by others

References

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

    Article  ADS  Google Scholar 

  2. Fan, H., Wang, Y.N., Jing, L., Yue, J.D., Shi, H.D., Zhang, Y.L., Mu, L.Z.: Phys. Rep. 544, 241–322 (2014)

    Article  ADS  MathSciNet  Google Scholar 

  3. Yao, S., Liang, H., Long, G.L.: Chin. Phys. Lett. 28, 010306 (2011)

    Article  Google Scholar 

  4. Yao, S., Liang, H., Long, G.L.: Comm. Theor. Phys. 53, 486 (2010)

    Article  ADS  Google Scholar 

  5. Liu, Y., Ouyang, X.P.: Chin. Sci. Bull. 58, 2329–2333 (2013)

    Article  Google Scholar 

  6. Liu, Y.: Chin. Sci. Bull. 58, 2927–2931 (2013)

    Article  Google Scholar 

  7. Liu, Y., Long, G.L.: Int. J. Quantum Inf. 7, 567–572 (2009)

    Article  Google Scholar 

  8. Long, Y., Feng, G.R., Pearson, J., Long, G.L.: Sci. China-Phys. Mech. Astron. 57, 1256–1261 (2014)

    Article  ADS  Google Scholar 

  9. Bužek, V., Hillery, M.: Phys. Rev. A 54, 1844 (1996)

    Article  ADS  MathSciNet  Google Scholar 

  10. Gisin, N., Massar, S.: Phys. Rev. Lett. 79, 2153 (1997)

    Article  ADS  Google Scholar 

  11. Bužek, V., Hillery, M.: Phys. Rev. Lett. 81, 5003 (1998)

    Article  ADS  Google Scholar 

  12. Zou, X.B., Pahlke, K., Mathis, W.: Phys. Rev. A 67, 024304 (2003)

    Article  ADS  Google Scholar 

  13. Bruß, D., Cinchetti, M., D’Ariano, G.M., Macchiavello, C.: Phys. Rev. A 62, 012302 (2000)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  15. Yang, R.C., Li, H.C., Li, X., Huang, Z.P., Xie, H.: Chin. Phys. B 17, 967 (2008)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  19. Buscemi, F., D’Ariano, G.M., Macchiavello, C.: Phys. Rev. A 71, 042327 (2005)

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  21. Durt, T., Du, J.: Phys. Rev. A 69, 062316 (2004)

    Article  ADS  Google Scholar 

  22. Ye, L., HU, G.Y., LI, A.X.: Sci. China-Phys. Mech. Astron. 1, 115–120 (2011)

    Article  ADS  Google Scholar 

  23. Hu, Y.G., Wan, H.B., Liu, Y.: J. Opt. Soc. Am. B 2, 328–332 (2010)

    Article  ADS  Google Scholar 

  24. Gisin, N., Ribordy, G., Tittela, W., Zbinden, H.: Rev. Mod. Phys. 74, 145 (2002)

    Article  ADS  Google Scholar 

  25. Scarani, V., Iblisdira, S., Gisin, N.: Rev. Mod. Phys. 77, 1225 (2005)

    Article  ADS  Google Scholar 

  26. Yu, L.B., Zhang, W.H., Ye, L.: Phys. Rev. A 76, 034303 (2007)

    Article  ADS  Google Scholar 

  27. Zhan, Y.B.: Chin. Phys. B 17, 411 (2008)

    Article  ADS  Google Scholar 

  28. Dai, J.L., Zhang, W.H.: Chin. Phys. B 18, 426 (2009)

    Article  ADS  Google Scholar 

  29. Fang, B.L., Song, Q.M., Ye, L.: Phys. Rev. A 83, 042309 (2001)

    Article  ADS  Google Scholar 

  30. Wen, J.J., Yeon, K.H., Wang, H.F., Zhang, S.: J. Korean Phys. Soc. 9, 1696–1702 (2013)

    Article  Google Scholar 

  31. Liu, A.P., Wen, J.J., Cheng, L.Y., Su, S.L., Chen, L., Wang, H.F., Zhang, S.: Opt. Commun. 333, 187–192 (2014)

    Article  ADS  Google Scholar 

  32. Shao, X.Q., Wang, H.F., Chen, L., Zhang, S., Zhao, Y.F., Yeon, K.H.: Phys. Rev. A 80, 062323 (2009)

    Article  ADS  Google Scholar 

  33. Zhao, Z., Zhang, A.N., Zhou, X.Q., Chen, Y.A., Lu, C.Y., Karlsson, A., Pan, J.W.: Phys. Rev. Lett 95, 030502 (2005)

    Article  ADS  Google Scholar 

  34. Du, J.F., Durt, T., Zou, P., Li, H., Kwek, L.C., Lai, C.H., Oh, C.H., Ekert, A.: Phys. Rev. Lett. 94, 040505 (2005)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  36. Zhang, J.F., Rajendran, N., Peng, X.H., Suter, D.: Phys. Rev. A 76, 012317 (2007)

    Article  ADS  Google Scholar 

  37. Zhou, L., Sheng, Y.B.: Phys. Rev. A 90, 024301 (2014)

    Article  ADS  Google Scholar 

  38. Zhang, R., Zhou, S.H., Cao, C.: Sci. China-Phys. Mech. Astron. 57, 1511–1518 (2014)

    Article  ADS  Google Scholar 

  39. Sheng, Y.B., Liu, J., Zhao, S.Y., Zhou, L.: Chin. Sci. Bull. 59, 3507–3513 (2013)

    Article  Google Scholar 

  40. Si, B., Wen, J.J., Cheng, L.Y., Wang, H.F., Zhang, S.: Int. J. Theor. Phys. 53, 80–90 (2014)

    Article  Google Scholar 

  41. Wang, C., Zhang, Y., Zhang, R.: Opt. Exp. 19, 25685–25695 (2011)

    Article  ADS  Google Scholar 

  42. Wang, C.: Phys. Rev. A 86, 012323 (2012)

    Article  ADS  Google Scholar 

  43. Wang, C., Cao, C., He, L.Y., Zhang, C.L.: Quantum Inf. Process 13, 1025–1034 (2014)

    Article  ADS  MathSciNet  Google Scholar 

  44. Sheng, Y.B., Zhou, L., Wang, L., Zhao, S.M.: Quant Inf. Process 12, 1885–1895 (2013)

    Article  ADS  Google Scholar 

  45. Zhao, J., Zheng, C.H., Shi, P., Ren, C.N., Gu, Y.J.: Opt. Commun. 322, 32–39 (2014)

    Article  ADS  Google Scholar 

  46. Liu, A.P., Su, S.L., Cheng, L.Y., Wang, H.F., Zhang, S.: Int. J. Theor. Phys. 52, 3892–3901 (2013)

    Article  Google Scholar 

  47. Stepanenko, D., Burkard, G.: Phys. Rev. B 75, 085324 (2007)

    Article  ADS  Google Scholar 

  48. Taylor, J.M., Petta, J.R., Johnson, A.C., Yacoby, A., Marcus, C.M., Lukin, M.D.: Phys. Rev. B 76, 035315 (2007)

    Article  ADS  Google Scholar 

  49. Petersson, K.D., Smith, C.G., Anderson, D., Atkinson, P., Jones, G.A.C., Ritchie, D.A.: Phys. Rev. Lett. 103, 016805 (2009)

    Article  ADS  Google Scholar 

  50. Shinkai, G., Hayashi, T., Ota, T., Fujisawa, T.: Phys. Rev. Lett. 103, 056802 (2009)

    Article  ADS  Google Scholar 

  51. Meunier, T., Calado, V.E., Vandersypen, L.M.K.: Phys. Rev. B 83, 121403(R) (2011)

    Article  ADS  Google Scholar 

  52. Wang, H.F., Zhu, A.D., Zhang, S.: Opt. Express 10, 12484–12494 (2013)

    Article  ADS  Google Scholar 

  53. Ji, Y.Q., Wen, J.J., Wang, Y.L., Zhu, A.D., Wang, H.F., Zhang, S., Yeon, K.H.: Opt. Commun. 303, 56–61 (2013)

    Article  ADS  Google Scholar 

  54. Yu, T., Zhu, A.D., Zhang, S.: Chin. Phys. B 5, 050304 (2012)

    Article  Google Scholar 

  55. Xiang, S.H., Lu, D.H., Song, K.H.: Int. J. Theor. Phys. 51, 4006–4016 (2012)

    Article  MathSciNet  Google Scholar 

  56. Wang, H.F., Jing, X.X., Zhang, S., Yeon, K.H.: J. Phys. B: At. Mol. Opt. Phys. 44, 115502 (2011)

    Article  ADS  Google Scholar 

  57. Hanson, R., Kouwenhoven, L.P., Petta, J.R., Tarucha, S.L., Vandersypen, M.K.: Rev. Mod. Phys. 79, 1217 (2007)

    Article  ADS  Google Scholar 

  58. Bluhm, H., Foletti, S., Neder, I., Rudner, M., Mahalu, D., Umansky, V., Yacoby, A.: Nat. Phys. 7, 109 (2011)

    Article  Google Scholar 

  59. Merkulov, I.A., Efros, A.L., Rosen, M.: Phys. Rev. B 65, 205309 (2002)

    Article  ADS  Google Scholar 

  60. Stievater, T.H., Li, X.Q., Steel, D.G., Gammon, D., Katzer, D.S., Park, D., Piermarocchi, C., Aham, L.J.: Phys. Rev. Lett. 87, 133603 (2001)

    Article  ADS  Google Scholar 

  61. Wang, Q.Q., Muller, A., Cheng, M.T., Zhou, H.J., Bianucci, P., Shih, C.K.: Phys. Rev. Lett. 95, 187404 (2005)

    Article  ADS  Google Scholar 

  62. Bianucci, P., Muller, A., Shih, C.K., Wang, Q.Q., Xue, Q.K.: Phys. Rev. B 69, 161303 (2004)

    Article  ADS  Google Scholar 

  63. Koppens, F.H.L., Buizert, C., Tielrooij, K.J., Vink, I.T., Nowack, K.C., Meunier, T., Kouwenhoven, L.P., Vandersypen, L.M.K.: Nature 442, 766 (2006)

    Article  ADS  Google Scholar 

  64. Tanamoto, T., Liu, Y.X., Hu, X.D., Nori, F.: Phys. Rev. Lett. 102, 100501 (2009)

    Article  ADS  Google Scholar 

  65. Petta, J.R., Johnson, A.C., Taylor, J.M., Laird, E.A., Yacoby, A.: Science 309, 2180 (2005)

    Article  ADS  Google Scholar 

  66. Imamoḡlu, A., Awschalom, D.D., Burkard, G., DiVincenzo, D.P., Loss, D., Shirwin, M., Small, A.: Phys. Rev. Lett. 83, 4204 (1999)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

This work is supported by the Scientific Research Fund for the Doctoral Program of Harbin University of Commerce under Grant No. 15KJ02; the National Natural Science Foundation of China under Grant Nos. 11264042, 11465020, 11165015 and 61465013; the Program for Chun Miao Excellent Talents of Jilin Provincial Department of Education under Grant No. 201316; and the Talent Program of Yanbian University of China under Grant No. 950010001.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jing-Ji Wen.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wen, JJ., Yeon, KH., Du, X. et al. Implementing of Quantum Cloning with Spatially Separated Quantum Dot Spins. Int J Theor Phys 55, 3088–3096 (2016). https://doi.org/10.1007/s10773-016-2939-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-016-2939-5

Keywords

Navigation