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Entangler and analyzer for four-photon χ-type entangled states

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Abstract

An entangler is proposed for generating χ-type polarization-entangled state using an EPR entangler, two Controlled-NOT (CNOT) gates and a Controlled-Z (CZ) gate. Furthermore, we also describe how to construct an analyzer for the sixteen χ-type entangled states with some m-qubit (m ≥ 2) parity gates and CNOT gates. Since the m-qubit parity gate can be constructed by m two-qubit CZ or CNOT gates, and the two-qubit parity gate can be configured to act as a Bell-state entangler, the implementation of the photonic two-qubit parity, CNOT and CZ gates is the key points in our scheme.

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References

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

    Article  ADS  MathSciNet  MATH  Google Scholar 

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

    Article  ADS  MathSciNet  MATH  Google Scholar 

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

    Article  ADS  MathSciNet  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

  5. R. Horodecki, P. Horodecki, M. Horodecki, K. Horodecki, Rev. Mod. Phys. 81, 865 (2009)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  6. O. Gühne, G. Tóth, Phys. Rep. 474, 1 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  7. K.S. Choi, A. Goban, S.B. Papp, S.J. van Enk, H.J. Kimble, Nature 468, 412 (2010)

    Article  ADS  Google Scholar 

  8. S.J. van Enk, Phys. Rev. Lett. 91, 017902 (2003)

    Article  ADS  Google Scholar 

  9. X.B. Wang, T. Hiroshima, A. Tomita, M. Hayashi, Phys. Rep. 448, 1 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  10. T. Gao, F.L. Yan, S.J. van Enk, Phys. Rev. Lett. 112, 180501 (2014)

    Article  ADS  Google Scholar 

  11. Y. Hong, T. Gao, F.L. Yan, Phys. Rev. A 86, 062323 (2012)

    Article  ADS  Google Scholar 

  12. F.L. Yan, T. Gao, E. Chitambar, Phys. Rev. A 83, 022319 (2011)

    Article  ADS  Google Scholar 

  13. T. Gao, Y. Hong, Phys. Rev. A 82, 062113 (2010)

    Article  ADS  Google Scholar 

  14. T. Gao, Y. Hong, Eur. Phys. J. D 61, 765 (2011)

    Article  ADS  Google Scholar 

  15. K. Wen, G.L. Long, Phys. Rev. A 72, 022336 (2005)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  18. M.Y. Wang, F.L. Yan, Eur. Phys. J. D 54, 111 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  19. J. Lee, H. Min, S. Oh, Phys. Rev. A 66, 052318 (2002)

    Article  ADS  Google Scholar 

  20. C. Wu, Y. Yeo, L. Kwek, C. Oh, Phys. Rev. A 75, 032332 (2007)

    Article  ADS  MathSciNet  Google Scholar 

  21. Y. Yeo, W. Chua, Phys. Rev. Lett. 96, 060502 (2006)

    Article  ADS  Google Scholar 

  22. S. Lin, Q.Y. Wen, F. Gao, F.C. Zhu, Phys. Rev. A 78, 064304 (2008)

    Article  ADS  Google Scholar 

  23. X.M. Xiu, H.K. Dong, L. Dong, Y.J. Gao, F. Chi, Opt. Commun. 282, 2457 (2009)

    Article  ADS  Google Scholar 

  24. L. Dong, X.M. Xiu, Y.P. Ren, Acta Phys. Polonica B 41, 1203 (2010)

    Google Scholar 

  25. Z. Liu, H. Chen, W. Liu, J. Xu, D. Wang, Z. Li, Quantum Inf. Process, 12, 587 (2012)

    Article  ADS  MathSciNet  Google Scholar 

  26. X.W. Wang, L.X. Xia, Z.Y. Wang, D.Y. Zhang, Opt. Commun. 283, 1196 (2010)

    Article  ADS  Google Scholar 

  27. Y.G. Yang, J. Xia, X. Jia, H. Zhang, Int. J. Theor. Phys. 51, 1917 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  28. X.W. Wang, D.Y. Zhang, S.Q. Tang, L.J. Xie, Z.H. Wang, L.M. Kuang, Phys. Rev. A 85, 052326 (2012)

    Article  ADS  Google Scholar 

  29. J. Fiurášek, Phys. Rev. A 73, 062316 (2006)

    Article  Google Scholar 

  30. K. Lemr, K. Bartkiewicz, A. Černoch, M. Dušek, J. Soubusta, Phys. Rev. Lett. 114, 153602 (2015)

    Article  ADS  Google Scholar 

  31. R. Ionicioiu, A.E. Popescu, W.J. Munro, T.P. Spiller, Phys. Rev. A 78, 052326 (2008)

    Article  ADS  Google Scholar 

  32. X.W. Wang, D.Y. Zhang, S.Q. Tang, L.J. Xie, Quantum Inf. Process 12, 1065 (2013)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  33. E. Knill, R. Laflamme, G.J. Milburn, Nature 409, 46 (2001)

    Article  ADS  Google Scholar 

  34. J. Eisert, Phys. Rev. Lett. 95, 040502 (2005)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

  36. D.B. Uskov, L. Kaplan, A.M. Smith, S.D. Huver, J.P. Dowling, Phys. Rev. A 79, 042326 (2009)

    Article  ADS  Google Scholar 

  37. A.J.F. Hayes, H.L. Haselgrove, A. Gilchrist, T.C. Ralph, Phys. Rev. A 82, 022323 (2010)

    Article  ADS  Google Scholar 

  38. N. Imoto, H.A. Haus, Y. Yamamoto, Phys. Rev. A 32, 2287 (1985)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  40. P. Kok, Phys. Rev. A 77, 013808 (2008)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  42. D. Ding, F.L. Yan, T. Gao, Science China: Phys. Mech. Astron. 57, 2098 (2014)

    ADS  Google Scholar 

  43. G.M. D’Ariano, L. Maccone, M.G.A. Paris, M.F. Sacchi, Phys. Rev. A 61, 053817 (2000)

    Article  ADS  Google Scholar 

  44. M.G.A. Paris, J. Phys. B 40, F63 (2007)

    Article  ADS  Google Scholar 

  45. R.W. Boyd, J. Mod. Opt. 46, 367 (1999)

    Article  ADS  Google Scholar 

  46. P. Kok, H. Lee, J.P. Dowling, Phys. Rev. A 66, 063814 (2002)

    Article  ADS  Google Scholar 

  47. B. He, A. MacRae, Y. Han, A.I. Lvovsky, C. Simon, Phys. Rev. A 83, 022312 (2011)

    Article  ADS  Google Scholar 

  48. E. Shahmoon, G. Kurizki, M. Fleischhauer, D. Petrosyan, Phys. Rev. A 83, 033806 (2011)

    Article  ADS  Google Scholar 

  49. B. He, A.V. Sharypov, J. Sheng, C. Simon, M. Xiao, Phys. Rev. Lett. 112, 133606 (2014)

    Article  ADS  Google Scholar 

  50. A. Rispe, B. He, C. Simon, Phys. Rev. Lett. 107, 043601 (2011)

    Article  ADS  Google Scholar 

  51. C. Vo, S. Riedl, S. Baur, G. Rempe, S. Dürr, Phys. Rev. Lett. 109, 263602 (2012)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. College of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang, 050024, P.R. China

    Meiyu Wang & Fengli Yan

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  1. Meiyu Wang
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  2. Fengli Yan
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Correspondence to Fengli Yan.

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Wang, M., Yan, F. Entangler and analyzer for four-photon χ-type entangled states. Eur. Phys. J. D 69, 272 (2015). https://doi.org/10.1140/epjd/e2015-60430-y

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  • DOI: https://doi.org/10.1140/epjd/e2015-60430-y

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