Skip to main content
Log in

Complete Deterministic Analyzer for Multi-Electron Greenberger–Horne–Zeilinger States Assisted by Double-Side Optical Microcavities

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

Abstract

We present a complete deterministic scheme for the multi-electron Greenberger–Horne–Zeilinger (GHZ) state analyzer, resorting to an interface between the polarization of a probe photon and the spin of an electron in a quantum dot embedded in a double-sided optical microcavity. All the multi-spin GHZ states can be completely discriminated by using single-photon detectors and linear optical elements. Our scheme has some features. First, it is a complete GHZ-state analyzer for multi-electron spin systems. Second, the initial entangled states remain after being identified and they can be used for a successive task. Third, the electron qubits are static and the photons play a role of a medium for information transfer, which has a good application in quantum repeater in which the electron qubits are used to store the information and the photon qubits are used to transfer the information between others.

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. Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)

    MATH  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  3. Deutsch, D., Josza, R.: Proc. R. Soc. Lond. Ser. A 439, 553 (1992)

    Article  ADS  MATH  Google Scholar 

  4. Long, G.L., Xiao, L.: J. Chem. Phys. 119, 8473 (2003)

    Article  ADS  Google Scholar 

  5. Long, G.L., Xiao, L.: Phys. Rev. A 69, 052303 (2004)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. Bouwmeester, D., Pan, J.W., Mattle, K., Eibl, M., Weinfurter, H., Zeilinger, A.: Nature (London) 390, 575 (1997)

    Article  ADS  Google Scholar 

  8. Bose, S., Vedral, V., Knight, P.L.: Phys. Rev. A 57, 822 (1998)

    Article  ADS  Google Scholar 

  9. Zukowski, M., Zeilinger, A., Horne, M.A., Ekert, A.: Phys. Rev. Lett. 71, 4287 (1993)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  18. Hillery, M., Bužek, V., Berthiaume, A.: Phys. Rev. A 59, 1829 (1999)

    Article  MathSciNet  ADS  Google Scholar 

  19. Xiao, L., Long, G.L., Deng, F.G., Pan, J.W.: Phys. Rev. A 69, 052307 (2004)

    Article  ADS  Google Scholar 

  20. Yan, F.L., Gao, T.: Phys. Rev. A 72, 012304 (2005)

    Article  ADS  Google Scholar 

  21. Zhang, Z.J., Li, Y., Man, Z.X.: Phys. Rev. A 71, 044301 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  22. Deng, F.G., Li, X.H., Zhou, H.Y., Zhang, Z.J.: Phys. Rev. A 72, 044302 (2005)

    Article  ADS  Google Scholar 

  23. Gu, B., Mu, L.L., Ding, L.G., Zhang, C.Y., Li, C.Q.: Opt. Commun. 283, 3099 (2010)

    Article  ADS  Google Scholar 

  24. Gu, B., Li, C.Q., Xu, F., Chen, Y.L.: Chin. Phys. B 18, 4690 (2009)

    Article  ADS  Google Scholar 

  25. Liu, D., Zong, Z.C., Ma, W.: Int. J. Theor. Phys. (2013). doi:10.1007/s10773-013-1500-z

    MathSciNet  Google Scholar 

  26. Lance, A.M., Symul, T., Bowen, W.P., Sanders, B.C., Lam, P.K.: Phys. Rev. Lett. 92, 177903 (2004)

    Article  ADS  Google Scholar 

  27. Deng, F.G., Li, X.H., Li, C.Y., Zhou, P., Zhou, H.Y.: Phys. Rev. A 72, 044301 (2005)

    Article  ADS  Google Scholar 

  28. Deng, F.G., et al.: Eur. Phys. J. D 39, 459 (2006)

    Article  ADS  Google Scholar 

  29. Li, X.H., et al.: J. Phys. B 39, 1975 (2006)

    Article  ADS  Google Scholar 

  30. Man, Z.X., Xia, Y.J., An, N.B.: Eur. Phys. J. D 42, 333 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  31. Wang, Z.Y., Yuan, H., Shi, S.H., Zhang, Z.J.: Eur. Phys. J. D 41, 371 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  32. Karlsson, A., Bourennane, M.: Phys. Rev. A 58, 4394 (1998)

    Article  MathSciNet  ADS  Google Scholar 

  33. Deng, F.G., Li, C.Y., Li, Y.S., Zhou, H.Y., Wang, Y.: Phys. Rev. A 72, 022338 (2005)

    Article  ADS  Google Scholar 

  34. Long, L.R., Li, H.W., Zhou, P., Fan, C., Yin, C.L.: Sci. China, Ser. G, Phys. Mech. Astron. 54, 484 (2011)

    Article  ADS  Google Scholar 

  35. Long, G.L., Liu, X.S.: arXiv:quant-ph/0012056 V1 (the first version announced on 13 December 2000 in arXiv:quant-ph/0012056 and it claims clearly that this protocol can be used to transmit secret message directly. Its simplified version is published in Phys. Rev. A 65, 032302 (2002))

    Google Scholar 

  36. Deng, F.G., Long, G.L., Liu, X.S.: Phys. Rev. A 68, 042317 (2003)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  38. Wang, C., et al.: Phys. Rev. A 71, 044305 (2005)

    Article  ADS  Google Scholar 

  39. Gao, G., Fang, M., Yang, R.M.: Int. J. Theor. Phys. 50, 882 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  40. Gu, B., Huang, Y.G., Fang, X., Chen, Y.L.: Commun. Theor. Phys. 56, 659 (2011)

    Article  ADS  MATH  Google Scholar 

  41. Gu, B., Huang, Y.G., Fang, X., Zhang, C.Y.: Chin. Phys. B 20, 100309 (2011)

    Article  ADS  Google Scholar 

  42. Gu, B., Zhang, C.Y., Cheng, G.S., Huang, Y.G.: Sci. China, Phys. Mech. Astron. 54, 942 (2011)

    Article  ADS  Google Scholar 

  43. Liu, D., Chen, J.L., Jiang, W.: Int. J. Theor. Phys. 51, 2923 (2012)

    Article  MATH  Google Scholar 

  44. Sun, Z.W., Du, R.G., Long, D.Y.: Int. J. Theor. Phys. 51, 1946 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  45. Shi, J., Gong, Y.X., Xu, P., Zhu, S.N., Zhan, Y.B.: Commun. Theor. Phys. 56, 831 (2011)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  46. Bennett, C.H., et al.: Phys. Rev. Lett. 76, 722 (1996)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  52. Wang, C., Zhang, Y., Jin, G.S.: Quantum Inf. Comput. 11, 0988 (2011)

    MathSciNet  Google Scholar 

  53. Wang, C., Zhang, Y., Jin, G.S.: Phys. Rev. A 84, 032307 (2011)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  55. Bennett, C.H., Bernstein, H.J., Popescu, S., Schumacher, B.: Phys. Rev. A 53, 2046 (1996)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  58. Sheng, Y.B., Zhou, L., Zhao, S.M., Zheng, B.Y.: Phys. Rev. A 85, 012307 (2012)

    Article  ADS  Google Scholar 

  59. Sheng, Y.B., Zhou, L., Zhao, S.M.: Phys. Rev. A 85, 044305 (2012)

    Google Scholar 

  60. Gu, B.: J. Opt. Soc. Am. B 29, 1685 (2012)

    Article  ADS  Google Scholar 

  61. Liu, D., Cong, Y., Ma, W.: Phys. Scr. 86, 045006 (2012)

    Article  ADS  Google Scholar 

  62. Zhou, L., Sheng, Y.B., Cheng, W.W., Gong, L.Y., Zhao, S.M.: Quantum Inf. Process. 12, 1307 (2013)

    Article  ADS  MATH  Google Scholar 

  63. Sheng, Y.B., Zhou, L.: J. Opt. Soc. Am. B 30, 678 (2013)

    Article  ADS  Google Scholar 

  64. Zhou, L., Sheng, Y.B., Cheng, W.W., Gong, L.Y., Zhao, S.M.: J. Opt. Soc. Am. B 30, 71 (2013)

    Article  ADS  Google Scholar 

  65. Zhou, L., Sheng, Y.B., Zhao, S.M.: Chin. Phys. B 22, 020307 (2013)

    Article  ADS  Google Scholar 

  66. Sheng, Y.B., Zhou, L., Wang, L., Zhao, S.M.: Quantum Inf. Process. 12, 1885 (2013)

    Article  ADS  MATH  Google Scholar 

  67. Wang, T.J., Song, S.Y., Long, G.L.: Phys. Rev. A 85, 062311 (2012)

    Article  ADS  Google Scholar 

  68. Greenberger, D.M., Horne, M.A., Shimony, A., Zeilinger, A.: Am. J. Phys. 58, 1131 (1990)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  69. Pan, J.W., Zeilinger, A.: Phys. Rev. A 57, 2208 (1998)

    Article  MathSciNet  ADS  Google Scholar 

  70. Qian, J., Feng, X.L., Gong, S.Q.: Phys. Rev. A 72, 052308 (2005)

    Article  ADS  Google Scholar 

  71. Song, S.Y., Cao, Y., Sheng, Y.B., Long, G.L.: Quantum Inf. Process. 12, 381 (2013)

    Article  ADS  MATH  Google Scholar 

  72. Qian, J., Qian, Y., Feng, X.L., Yang, T., Gong, S.Q.: Phys. Rev. A 75, 032309 (2007)

    Article  ADS  Google Scholar 

  73. Lin, X.M., Chen, Z.H., Lin, G.W., Chen, X.D., Ni, B.B.: Opt. Commun. 282, 3371 (2009)

    Article  ADS  Google Scholar 

  74. Loss, D., DiVincenzo, D.P.: Phys. Rev. A 57, 120 (1998)

    Article  ADS  Google Scholar 

  75. Imamoglu, A., et al.: Phys. Rev. Lett. 83, 4204 (1999)

    Article  ADS  Google Scholar 

  76. Piermarocchi, C., Chen, P., Sham, L.J., Steel, D.G.: Phys. Rev. Lett. 89, 167402 (2002)

    Article  ADS  Google Scholar 

  77. Calarco, T., Datta, A., Fedichev, P., Pazy, E., Zoller, P.: Phys. Rev. A 68, 012310 (2003)

    Article  ADS  Google Scholar 

  78. Clark, S.M., Fu Kai-Mei, C., Ladd, T.D., Yamamoto, Y.: Phys. Rev. Lett. 99, 040501 (2007)

    Article  ADS  Google Scholar 

  79. Lin, Z.R., Guo, G.P., Tu, T., Zhu, F.Y., Guo, G.C.: Phys. Rev. Lett. 101, 230501 (2008)

    Article  ADS  Google Scholar 

  80. Hu, C.Y., Young, A., O’Brien, J.L., Rarity, J.G.: Phys. Rev. B 78, 085307 (2008)

    Article  ADS  Google Scholar 

  81. Hu, C.Y., Munro, W.J., O’Brien, J.L., Rarity, J.G.: Phys. Rev. B 80, 205326 (2009)

    Article  ADS  Google Scholar 

  82. Hu, C.Y., Munro, W.J., Rarity, J.G.: Phys. Rev. B 78, 125318 (2008)

    Article  ADS  Google Scholar 

  83. Hu, C.Y., Rarity, J.G.: Phys. Rev. B 83, 115303 (2011)

    Article  ADS  Google Scholar 

  84. Yu, T., Zhu, A.D., Zhang, S., Yeon, K.H., Yu, S.C.: Phys. Scr. 84, 025001 (2011)

    Article  ADS  Google Scholar 

  85. Wei, H.R., Deng, F.G.: Phys. Rev. A 87, 022305 (2013)

    Article  ADS  Google Scholar 

  86. Ren, B.C., Wei, H.R., Deng, F.G.: Laser Phys. Lett. (2013). arXiv:1303.0056

  87. Ren, B.C., Wei, H.R., Hua, M., Li, T., Deng, F.G.: Opt. Express 20, 24664 (2012)

    Article  ADS  Google Scholar 

  88. Wang, T.J., Lu, Y., Long, G.L.: Phys. Rev. A 86, 042337 (2012)

    Article  ADS  Google Scholar 

  89. Ren, B.C., Wei, H.R., Hua, M., Li, T., Deng, F.G.: Eur. Phys. J. D 67, 30 (2013)

    Article  ADS  Google Scholar 

  90. Petta, J.R., et al.: Science 309, 2180 (2005)

    Article  ADS  Google Scholar 

  91. Greilich, A., et al.: Science 313, 341 (2006)

    Article  ADS  Google Scholar 

  92. Elzerman, J.M., et al.: Nature 430, 431 (2004)

    Article  ADS  Google Scholar 

  93. Kroutvar, M., et al.: Nature (London) 432, 81 (2004)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

This work is supported by the National Natural Science Foundation of China under Grant No. 11174039, NECT-11-0031, and the Fundamental Research Funds for the Central Universities.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Fu-Guo Deng.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wei, HR., Ren, BC., Zhang, M. et al. Complete Deterministic Analyzer for Multi-Electron Greenberger–Horne–Zeilinger States Assisted by Double-Side Optical Microcavities. Int J Theor Phys 52, 4045–4054 (2013). https://doi.org/10.1007/s10773-013-1718-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-013-1718-9

Keywords

Navigation