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Entanglement Teleportation Via Two-Qubit Channel Under the Non-Markovian Environment

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Abstract

Entanglement teleportation via a two-qubit quantum channel under the non-Markovian environment is investigated in detail. We mainly concentrate on the effects about the channel initial states and decoherence environment on the entanglement of the output state C out and the average fidelity F a. It is shown that for different channel initial states with increasing noise environment parameters the teleportated entanglement is initially decreased from the maximum value to a minimum value and then undergoes a increasing tendency finally to be one constant nonzero value. The average fidelity is strongly dependent on the channel initial states and the Non-Markovian environment, tuning these parameters can make the average fidelity larger than the maximum value of classical communication 2/3. Moreover, there is a threshold time t c , when t<t c the average fidelity is always superior to 2/3, tuning the environment parameters and channel initial states not only can make F a superior to 2/3 but also can broaden the region where F a is larger than 2/3. We also obtain the analytic solution values of t c in the limit case of γ→∞ where the non-Markovian environment reduced to the Markovian one.

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References

  1. Bennett, C.H., et al.: Phys. Rev. Lett. 70, 1895 (1993)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  2. Zhang, G.F.: Phys. Rev. A 75, 034304 (2007)

    Article  ADS  Google Scholar 

  3. Yeo, Y.: Phys. Rev. A 68, 022316 (2003)

    Article  ADS  MathSciNet  Google Scholar 

  4. Bennett, C.H., Wiesner, S.J.: Phys. Rev. Lett. 69, 2881 (1993)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MATH  MathSciNet  Google Scholar 

  6. Yeo, Y.: Phys. Rev. A 66, 062312 (2002)

    Article  ADS  Google Scholar 

  7. Ni, H.Y., Fang, J.X., Zhu, S.Q., Sha, J.Q., Jiang, W.X.: Commun. Theor. Phys. 49, 333–337 (2008)

    Article  ADS  Google Scholar 

  8. Bellomo, B., Lo Franco, R., Compagno, G.: Phys. Rev. Lett. 99, 160502 (2007)

    Article  ADS  Google Scholar 

  9. Yu, T., Eberly, J.H.: Opt. Commun. 283, 676 (2010)

    Article  ADS  Google Scholar 

  10. Paz, J.P., Roncaglia, A.J.: Phys. Rev. Lett. 100, 220401 (2008)

    Article  ADS  Google Scholar 

  11. Dajka, J., Mierzejewski, M., Luczka, J.: Phys. Rev. A 77, 042316 (2008)

    Article  ADS  Google Scholar 

  12. Cao, X.F., Zheng, H.: Phys. Rev. A 77, 022320 (2008)

    Article  ADS  Google Scholar 

  13. An, J.H., Zhang, W.M.: Phys. Rev. A 76, 042127 (2007)

    Article  ADS  Google Scholar 

  14. Dijkstra, A.G., Tanimura, Y.: Phys. Rev. Lett. 104, 250401 (2010)

    Article  ADS  Google Scholar 

  15. Xu, G.F., Tong, D.M.: Chin. Phys. Lett. 28, 060305 (2011)

    Article  ADS  Google Scholar 

  16. Wodkiewicz, K., Eberly, J.H.: Ann. Phys. 101, 574 (1976)

    Article  ADS  Google Scholar 

  17. Wodkiewicz, K.: Phys. Lett. A 73, 94 (1979)

    Article  ADS  MathSciNet  Google Scholar 

  18. Eberly, J.H., Wodkiewicz, K., Shore, B.W.: Phys. Rev. A 30, 2381 (1984)

    Article  ADS  Google Scholar 

  19. Kus, M., Wajnryb, E., Wodkiewica, K.: Phys. Rev. A 43, 4167 (1991)

    Article  ADS  Google Scholar 

  20. Kus, M., Wodkiewica, K.: Phys. Rev. E 47, 4055 (1993)

    Article  ADS  Google Scholar 

  21. Yang, G.H., Ma, Y.H., Di, M., Zhou, L.: Int. J. Theor. Phys. 47, 1836 (2008)

    Article  MATH  Google Scholar 

  22. Bowen, G., Bose, S.: Phys. Rev. Lett. 87, 267901 (2001)

    Article  ADS  Google Scholar 

  23. Horodecki, M., Horodecki, P., Horodecki, R.: Phys. Rev. A 60, 1888 (1999)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  24. Peres, A.: Phys. Rev. Lett. 77, 1413 (1996)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  25. Wootters, W.K.: Phys. Rev. Lett. 80, 2245 (1998)

    Article  ADS  Google Scholar 

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Acknowledgements

This project was supported by the Natural Science Foundation for Young Scientists of Shanxi Province, China (Grant No. 2012021003-3) and the Special Funds of the National Natural Science Foundation of China (Grant No. 11247247).

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Authors and Affiliations

  1. School of Physics and Information Engineering, Shanxi Normal University, Linfen, 041004, P.R. China

    Le Song & Guo-Hui Yang

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  1. Le Song
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  2. Guo-Hui Yang
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Correspondence to Guo-Hui Yang.

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Song, L., Yang, GH. Entanglement Teleportation Via Two-Qubit Channel Under the Non-Markovian Environment. Int J Theor Phys 53, 102–110 (2014). https://doi.org/10.1007/s10773-013-1787-9

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