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Assisted Cloning and Orthogonal Complementing of an Arbitrary Unknown Two-Qubit State with χ-Type Entangled States

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Abstract

We propose a scheme for cloning an arbitrary unknown two-qubit state and its orthogonal complement state with the assistance from the state preparer. Our scheme includes two stages. The first stage requires a quantum teleportation process, in which an arbitrary unknown two-qubit state can be deterministically teleported from the sender to the receiver with χ-type entangled states as the quantum channel. In the second stage, with the assistance of the state preparer, either a perfect copy or an orthogonal complement state of an arbitrary unknown two-qubit state can be obtained with a certain probability.

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References

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

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  MathSciNet  ADS  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  8. Han, L.F., Liu, Y.M., Shi, S.H., Zhang, Z.J.: Phys. Lett. A 361, 24 (2007)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. Han, L.F., et al.: Opt. Commun. 281, 2690 (2008)

    Article  ADS  Google Scholar 

  10. Yuan, H., et al.: Commun. Theor. Phys. 50, 873 (2008)

    Article  ADS  Google Scholar 

  11. Deng, F.G., et al.: Phys. Lett. A 372, 1957 (2008)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  12. Deng, F.G., et al.: Phys. Rev. A 72, 044301 (2005)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  16. 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 

  17. Man, Z.X., Xia, Y.J., An, N.B.: Phys. Rev. A 75, 052306 (2007)

    Article  ADS  Google Scholar 

  18. Deng, F.G., et al.: Phys. Rev. A 72, 022338 (2005)

    Article  ADS  Google Scholar 

  19. Han, L.F., et al.: Commun. Theor. Phys. 46, 217 (2006)

    Article  ADS  Google Scholar 

  20. Han, L.F., Yuan, H.: Int. J. Quantum Inf. 6, 1093 (2008)

    Article  MATH  Google Scholar 

  21. Lo, H.K.: Phys. Rev. A 62, 012313 (2000)

    Article  ADS  Google Scholar 

  22. Pati, A.K.: Phys. Rev. A 63, 014302 (2001)

    Article  ADS  Google Scholar 

  23. Bennett, C.H., et al.: Phys. Rev. Lett. 87, 077902 (2001)

    Article  ADS  Google Scholar 

  24. Dai, H.Y., Chen, P.X., Liang, L.M., Li, C.Z.: Phys. Lett. A 355, 285 (2006)

    Article  ADS  Google Scholar 

  25. Han, L.F., Yuan, H.: Int. J. Quantum Inf. 9, 539 (2011)

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  30. Wang, C., et al.: Opt. Commun. 253, 15 (2005)

    Article  ADS  Google Scholar 

  31. Li, X.H., et al.: Phys. Rev. A 74, 054302 (2006)

    Article  ADS  Google Scholar 

  32. Li, X.H., et al.: Chin. Phys. 16, 2149 (2007)

    Article  ADS  Google Scholar 

  33. Long, G.L., et al.: Front. Phys. China 2, 251 (2007)

    Article  ADS  Google Scholar 

  34. Gu, B., et al.: Sci. China, Phys. Mech. Astron. 54, 942 (2011)

    Article  ADS  Google Scholar 

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

    Article  MATH  Google Scholar 

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

    Article  ADS  Google Scholar 

  37. Dieks, D.: Phys. Lett. A 92, 271 (1982)

    Article  ADS  Google Scholar 

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

    MATH  Google Scholar 

  39. D’Ariano, G.M., Yuen, H.P.: Phys. Rev. Lett. 76, 2832 (1996)

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  41. Hillery, M., Buzek, V.: Phys. Rev. A 56, 1212 (1997)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  43. Werner, R.F.: Phys. Rev. A 58, 1827 (1998)

    Article  ADS  Google Scholar 

  44. Murao, M., Jonathan, D., Plenio, M.B., Vedral, V.: Phys. Rev. A 59, 156 (1999)

    Article  ADS  Google Scholar 

  45. Pati, A.K.: Phys. Rev. A 61, 022308 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  46. Bruß, D., Macchiavello, C.: J. Phys. A 34, 6815 (2001)

    Article  MathSciNet  ADS  Google Scholar 

  47. Fan, H.: Phys. Rev. A 68, 054301 (2003)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  49. Zhan, Y.B.: Int. J. Theor. Phys. 51, 1655 (2012)

    Article  MATH  Google Scholar 

  50. Fang, M., et al.: Commun. Theor. Phys. 46, 849 (2006)

    Article  ADS  Google Scholar 

  51. Xiao, X.Q., Liu, J.M.: Int. J. Theor. Phys. 50, 2864 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  52. Niu, X.F.: Int. J. Theor. Phys. 48, 2599 (2009)

    Article  MATH  Google Scholar 

  53. Zhan, Y.B.: Phys. Lett. A 336, 317 (2005)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  54. Zhan, Y.B.: Int. J. Theor. Phys. 44, 1541 (2005)

    Article  MATH  Google Scholar 

  55. Hou, K., Shi, S.H.: Int. J. Theor. Phys. 48, 167 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  56. Yeo, Y., Chua, W.K.: Phys. Rev. Lett. 96, 060502 (2006)

    Article  ADS  Google Scholar 

  57. Ma, C.Y., Zhang, Y.S., Guo, G.C.: Chin. Phys. Lett. 24, 606 (2007)

    Article  ADS  Google Scholar 

  58. Chen, P.X., Zhu, S.Y., Guo, G.C.: Phys. Rev. A 74, 032324 (2006)

    Article  ADS  Google Scholar 

  59. Shen, H.W., et al.: Chin. Phys. B 18, 3706 (2009)

    Article  ADS  Google Scholar 

  60. Wang, X.W., Yang, G.J.: Phys. Rev. A 78, 024301 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  61. He, Y., Jiang, N.Q.: Opt. Commun. 283, 1558 (2010)

    Article  ADS  Google Scholar 

  62. Lin, X.: Chin. Phys. Lett. 27, 044207 (2010)

    Article  ADS  Google Scholar 

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Acknowledgements

This work is partly supported by the Fundamental Research Funds for the Central Universities under Grant No. 2010XS47 and the Higher Education Natural Science Foundation of Anhui Province under Grant No. KJ2010B383.

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Authors and Affiliations

  1. Quantum Optoelectronics Laboratory, School of Physical Science and Technology, Southwest Jiaotong University, Chengdu, 610031, China

    Hao Yuan

  2. Department of Applied Physics, School of Life Science, Anhui Medical University, Hefei, 230032, China

    Lian-Fang Han

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  1. Hao Yuan
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  2. Lian-Fang Han
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Correspondence to Hao Yuan.

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Yuan, H., Han, LF. Assisted Cloning and Orthogonal Complementing of an Arbitrary Unknown Two-Qubit State with χ-Type Entangled States. Int J Theor Phys 52, 1282–1288 (2013). https://doi.org/10.1007/s10773-012-1443-9

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  • DOI: https://doi.org/10.1007/s10773-012-1443-9

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