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Dynamics of multipartite quantum correlations in the qubit-reservoir system

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Abstract

We study the dynamics of multipartite quantum correlations in terms of genuinely multipartite (GM) concurrence and global quantum discord in an N qubits system interacting with independent reservoirs. For the initial mixed GHZ-like state, we show that the multipartite quantum correlations initially in the qubits system can be completely transferred to the reservoirs. During this process, the GM entanglement exhibits sudden death for qubits and sudden birth for reservoirs, but the global quantum discord presents the asymptotic behavior. In this sense, the global quantum discord is more robust than GM entanglement in the evolution process. We put research emphasis on the effects induced by the amplitude α of the initial state, purity p and the qubits number N. In addition, a sharp comparison between the dynamics of GM entanglement and that of global quantum discord in both Markovian and non-Markovian regimes is made.

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References

  1. C.H. Bennett, D.P. Sicincenzo, Nature 404, 247 (2000)

    Article  ADS  Google Scholar 

  2. M. Horodecki, P. Horodecki, R. Horodecki, J. Oppenheim, A. Sen, U. Sen, B. Synak-Radtke, Phys. Rev. A 71, 062307 (2005)

    Article  ADS  Google Scholar 

  3. J. Niset, N.J. Cerf, Phys. Rev. A 74, 052103 (2006)

    Article  ADS  Google Scholar 

  4. A. Datta, S.T. Flammia, C.M. Caves, Phys. Rev. A 72, 042316 (2005)

    Article  ADS  Google Scholar 

  5. H. Ollivier, W.H. Zurek, Phys. Rev. Lett. 88, 017901 (2001)

    Article  ADS  Google Scholar 

  6. B. Dakic, V. Vedral, C. Brukner, Phys. Rev. Lett. 105, 190502 (2010)

    Article  ADS  Google Scholar 

  7. S.L. Luo, S.S. Fu, Phys. Rev. A 82, 034302 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  8. S.L. Luo, Phys. Rev. A 77, 022301 (2008)

    Article  ADS  Google Scholar 

  9. S.L. Luo, S.S. Fu, Phys. Rev. Lett. 106, 120401 (2011)

    Article  ADS  Google Scholar 

  10. T. Zhou, J.X. Cui, G.L. Long, Phys. Rev. A 84, 062105 (2011)

    Article  ADS  Google Scholar 

  11. S. Gharibian, Phys. Rev. A 86, 042106 (2012)

    Article  ADS  Google Scholar 

  12. A. Ferraro, L. Aolita, D. Cavalcanti, F.M. Cucchietti, A. Acín, Phys. Rev. A 81, 052318 (2010)

    Article  ADS  Google Scholar 

  13. A. Datta, A. Shaji, C.M. Caves, Phys. Rev. Lett. 100, 050502 (2008)

    Article  ADS  Google Scholar 

  14. B.P. Lanyon, M. Barbieri, M.P. Almedia, A.G. White, Phys. Rev. Lett. 101, 200501 (2008)

    Article  ADS  Google Scholar 

  15. C. López, G. Romero, F. Lastra, E. Solano, J.C. Retamal, Phys. Rev. Lett. 101, 080503 (2008)

    Article  Google Scholar 

  16. J. Maziero, T. Werlang, F.F. Fanchini, L.C. Céleri, R.M. Serra, Phys. Rev. A 81, 022116 (2010)

    Article  ADS  Google Scholar 

  17. Z.X. Man, Y.J. Zhang, F. Su, Y.J. Xia, Eur. Phys. J. D 58, 147 (2010)

    Article  ADS  Google Scholar 

  18. Z.X. Man, Y.J. Xia, B.A. Nguyen, Phys. Rev. A 78, 064301 (2008)

    Article  ADS  Google Scholar 

  19. Y.J. Zhang, Z.X. Man, X.B. Zou, Y.J. Xia, G.C. Guo, J. Phys. B 43, 045502 (2010)

    Article  ADS  Google Scholar 

  20. T. Yu, J.H. Eberly, Phys. Rev. Lett. 93, 140404 (2004)

    Article  ADS  Google Scholar 

  21. M.P. Almeida, F. de Melo, M. Hor-Meyll, A. Salles, S.P. Wallborn, P.H. Souto Ribeiro, L. Davidovich, Science 316, 579 (2007)

    Article  ADS  Google Scholar 

  22. J. Laurat, K.S. Choi, H. Deng, C.W. Chou, H.J. Kimble, Phys. Rev. Lett. 99, 180504 (2007)

    Article  ADS  Google Scholar 

  23. T. Werlang, S. Souza, F.F. Fanchini, C.J. Villas Boas, Phys. Rev. A 80, 024103 (2009)

    Article  ADS  Google Scholar 

  24. Ĉ. Brukner, M. Żukowski, J.W. Pan, A. Zeilinger, Phys. Rev. Lett. 92, 127901 (2004)

    ADS  MathSciNet  Google Scholar 

  25. B. Bellomo, R.L. Franco, G. Compagno, Phys. Rev. Lett. 99, 160502 (2007)

    ADS  Google Scholar 

  26. S. Maniscalco, F. Petruccione, Phys. Rev. A 73, 012111 (2006)

    ADS  MathSciNet  Google Scholar 

  27. C.H. Bennett, H.J. Brenstein, S. Popescu, R. Jozsa, Phys. Rev. A 53, 2046 (1996)

    ADS  Google Scholar 

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

    ADS  Google Scholar 

  29. Z.H. Ma, Z.H. Chen, J.L. Chen, Phys. Rev. A 83, 062325 (2011)

    ADS  Google Scholar 

  30. S.M.H. Rafsanjani, M. Huber, C.J. Broadbent, J.H. Eberly, Phys. Rev. A 86, 062303 (2012)

    ADS  Google Scholar 

  31. C.C. Rulli, M.S. Sarandy, Phys. Rev. A 84, 042109 (2011)

    ADS  Google Scholar 

  32. K. Modi, T. Paterek, W. Son, V. Vedral, M. Williamson, Phys. Rev. Lett. 104, 080501 (2010)

    ADS  MathSciNet  Google Scholar 

  33. J.W. Xu, Phys. Lett. A 377, 238 (2013)

    ADS  MathSciNet  Google Scholar 

  34. M. Yönaç, T. Yu, J.H. Eberly, J. Phys. B 39, S621 (2006)

    ADS  Google Scholar 

  35. G.F. Zhang, Z.Y. Chen, Opt. Commun. 275, 274 (2007)

    ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. College of Physics and Electronic Information Science, Tianjin Normal University, Tianjin, 300387, P.R. China

    Jin-Liang Guo

  2. School of Science, Hebei University of Technology, Tianjin, 300401, P.R. China

    Ying-Juan Mi

Authors
  1. Jin-Liang Guo
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  2. Ying-Juan Mi
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Correspondence to Jin-Liang Guo.

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Guo, JL., Mi, YJ. Dynamics of multipartite quantum correlations in the qubit-reservoir system. Eur. Phys. J. D 68, 39 (2014). https://doi.org/10.1140/epjd/e2013-40552-0

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