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One-step preparation of three-particle Greenberger-Horne-Zeilinger state via quantum Zeno dynamics

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Abstract

We propose an efficient scheme for deterministic one-step generation of three-particle Greenberger-Horne-Zeilinger (GHZ) state in a bimodal cavity based on quantum Zeno dynamics, which reduces the complexity of the experiment operations. The cavity modes are not excited in the evolution and the influence of atomic spontaneous emission and the cavity decay is also discussed by numerical calculation. The results demonstrate that the scheme is robust against the cavity decay.

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References

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. K. Mattle, H. Weinfurter, P.G. Kwiat, A. Zeilinger, Phys. Rev. Lett. 76, 4656 (1996)

    Article  ADS  Google Scholar 

  3. J.W. Pan, A. Zeilinger, Phys. Rev. A 57, 002208 (1998)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. M. Hillery, V. Buzek, A. Berthiaume, Phys. Rev. A 59, 1829 (1999)

    Article  MathSciNet  ADS  Google Scholar 

  6. W. Dür, G. Vidal, J.I. Cirac, Phys. Rev. A 62, 062314 (2000)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  8. M. Eibl, N. Kiesel, M. Bourennane, C. Kurtsiefer, H. Weinfurter, Phys. Rev. Lett. 92, 077901 (2004)

    Article  ADS  Google Scholar 

  9. S. Ghose, N. Sinclair, S. Debnath, P. Rungta, R. Stock, Phys. Rev. Lett. 102, 250404 (2009)

    Article  ADS  Google Scholar 

  10. J.Q. You, F. Nori, Nature 474, 589 (2011)

    Article  ADS  Google Scholar 

  11. J.Q. You, F. Nori, Phys. Today 58, 42 (2005)

    Article  Google Scholar 

  12. I. Buluta, F. Nori, Science 326, 108 (2009)

    Article  ADS  Google Scholar 

  13. T. Tanamoto, Y.X. Liu, S. Fujita, X.D. Hu, F. Nori, Phys. Rev. Lett. 97, 230501 (2006)

    Article  MathSciNet  ADS  Google Scholar 

  14. J.Q. You, X.B. Wang, T. Tanamoto, F. Nori, Phys. Rev. A 75, 052319 (2007)

    Article  ADS  Google Scholar 

  15. C.C. Gerry, Phys. Rev. A 53, 2857 (1996)

    Article  ADS  Google Scholar 

  16. V. Bužek, G. Drobny, M.S. Kim, G. Adam, P.L. Knight, Phys. Rev. A 56, 2352 (1997)

    Article  ADS  Google Scholar 

  17. Z. Zhao, Y.A. Chen, A.N. Zhang, T. Yang, H.J. Briegel, J.W. Pan, Nature 430, 54 (2004)

    Article  ADS  Google Scholar 

  18. Y. Xia, J. Song, H.S. Song, Appl. Phys. Lett. 92, 021127 (2008)

    Article  ADS  Google Scholar 

  19. I. Buluta, S. Ashhab, F. Nori, Rep. Prog. Phys. 74, 104401 (2011)

    Article  ADS  Google Scholar 

  20. L.F. Wei, Y.X. Liu, F. Nori, Phys. Rev. Lett. 96, 246803 (2006)

    Article  ADS  Google Scholar 

  21. J. Song, Y. Xia, H.S. Song, J.L. Guo, J. Nie, Europhys. Lett. 80, 60001 (2007)

    Article  MathSciNet  ADS  Google Scholar 

  22. D. Leibfried, E. Knill, S. Seidelin, J. Britton, R.B. Blakestad, J. Chiaverini, D.B. Hume, W.M. Itano, J.D. Jost, C. Langer, R. Ozeri, R. Reichle, D.J. Wineland, Nature 438, 639 (2005)

    Article  ADS  Google Scholar 

  23. X.B. Zou, K. Pahlke, W. Mathis, Phys. Rev. A 68, 024302 (2003)

    Article  ADS  Google Scholar 

  24. S.B. Zheng, Phys. Lett. A 372, 591 (2008)

    Article  ADS  MATH  Google Scholar 

  25. J. Song, Y. Xia, H.S. Song, J. Phys. B: At. Mol. Opt. Phys. 41, 065507 (2008)

    Article  Google Scholar 

  26. S.B. Zheng, Eur. Phys. J. D 54, 719 (2009)

    Article  ADS  Google Scholar 

  27. B. Misra, E.C.G. Sudarshan, J. Math. Phys. 18, 756 (1977)

    Article  MathSciNet  ADS  Google Scholar 

  28. R.J. Cook, Phys. Scr. T21, 49 (1988)

    Article  ADS  Google Scholar 

  29. W.M. Itano, D.J. Heinzen, J.J. Bollinger, D.J. Wineland, Phys. Rev. A 41, 2295 (1990)

    Article  ADS  Google Scholar 

  30. P. Facchi, V. Gorini, G. Marmo, S. Pascazio, E.C.G. Sudarshan, Phys. Lett. A 275, 12 (2000)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  31. P. Facchi, S. Pascazio, A. Scardicchio, L.S. Schulman, Phys. Rev. A 65, 012108 (2001)

    Article  ADS  Google Scholar 

  32. P. Facchi, S. Pascazio, Prog. Opt. 42, 147 (2001)

    Article  Google Scholar 

  33. X.B. Wang, J.Q. You, F. Nori, Phys. Rev. A 77, 062339 (2008)

    Article  ADS  Google Scholar 

  34. X.F. Cao, J.Q. You, H. Zheng, A.G. Kofman, F. Nori, Phys. Rev. A 82, 022119 (2010)

    Article  ADS  Google Scholar 

  35. A. Beige, D. Braun, B. Tregenna, P.L. Knight, Phys. Rev. Lett. 85, 1762 (2000)

    Article  ADS  Google Scholar 

  36. J. Pachos, H. Walther, Phys. Rev. Lett. 89, 187903 (2002)

    Article  ADS  Google Scholar 

  37. J.K. Pachos, A. Beige, Phys. Rev. A 69, 033817 (2004)

    Article  ADS  Google Scholar 

  38. L. Zhou, S. Yang, Y.X. Liu, C.P. Sun, F. Nori, Phys. Rev. A 80, 062109 (2009)

    Article  ADS  Google Scholar 

  39. X.Q. Shao, L. Chen, S. Zhang, K.H. Yeon, J. Phys. B: At. Mol. Opt. Phys. 42, 165507 (2009)

    Article  ADS  Google Scholar 

  40. Z.C. Shi, Y. Xia, J. Song, H.S. Song, J. Opt. Soc. Am. B 28, 2909 (2011)

    Article  ADS  Google Scholar 

  41. Z.C. Shi, Y. Xia, J. Song, H.S. Song, Quantum Inf. Comput. 12, 0215 (2012)

    Google Scholar 

  42. S. Zhang, X.Q. Shao, L. Chen, Y.F. Zhao, K.H. Yeon, J. Phys. B: At. Mol. Opt. Phys. 44, 075505 (2011)

    Article  ADS  Google Scholar 

  43. W.A. Li, G.Y. Huang, Phys. Rev. A 83, 022322 (2011)

    Article  ADS  Google Scholar 

  44. Z.C. Shi, Y. Xia, J. Song, H.S. Song, Eur. Phys. J. D 66, 11 (2012)

    Article  ADS  Google Scholar 

  45. P. Facchi, G. Marmo, S. Pascazio, J. Phys.: Conf. Ser. 196, 012017 (2009)

    Article  ADS  Google Scholar 

  46. P. Facchi, S. Pascazio, Phys. Rev. Lett. 89, 080401 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  47. M.B. Plenio, P.L. Knight, Rev. Mod. Phys. 70, 101 (1998)

    Article  ADS  Google Scholar 

  48. G.R. Guthöhrlein, M. Keller, K. Hayasaka, W. Lange, H. Walther, Nature 414, 49 (2001)

    Article  ADS  Google Scholar 

  49. S.J. Devitt, S.G. Schirmer, D.K.L. Oi, J.H. Cole, L.C.L. Hollenberg, New J. Phys. 9, 384 (2007)

    Article  ADS  Google Scholar 

  50. M. Keller, B. Lange, K. Hayasaka, W. Lange, H. Walther, New J. Phys. 6, 95 (2004)

    Article  ADS  Google Scholar 

  51. J. Song, Y. Xia, H.S. Song, Appl. Phys. Lett. 96, 071102 (2010)

    Article  ADS  Google Scholar 

  52. M. Kiffner, J. Evers, C.H. Keitel, Phys. Rev. Lett. 96, 100403 (2006)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Department of Physics, Fuzhou University, Fuzhou, 350002, P.R. China

    Z. C. Shi, Y. Xia & H. Z. Wu

  2. School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian, 116024, P.R. China

    Y. Xia

  3. Department of Physics, Harbin Institute of Technology, Harbin, 150001, P.R. China

    J. Song

Authors
  1. Z. C. Shi
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  2. Y. Xia
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  3. H. Z. Wu
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  4. J. Song
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Correspondence to Y. Xia.

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Shi, Z.C., Xia, Y., Wu, H.Z. et al. One-step preparation of three-particle Greenberger-Horne-Zeilinger state via quantum Zeno dynamics. Eur. Phys. J. D 66, 127 (2012). https://doi.org/10.1140/epjd/e2012-20733-1

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  • DOI: https://doi.org/10.1140/epjd/e2012-20733-1

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