Advertisement

The roles of quantum correlations in quantum cloning

  • Jun Zhang
  • Shao-xiong Wu
  • Chang-shui YuEmail author
Regular Article
  • 117 Downloads

Abstract

In this paper, we study the entanglement and quantum discord of the output modes in the unified 1 → 2 state-dependent cloning and probabilistic quantum cloning. The tripartite entanglement among the output modes and the quantum cloning machine is also considered. We find that the roles of the quantum correlations including the bipartite and tripartite entanglement and quantum discord strongly depend on the quantum cloning machines as well as the cloned state. In particular, it is found that this quantum cloning scheme can be realizable even without any quantum correlation.

Keywords

Quantum Information 

References

  1. 1.
    C.H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, W. K. Wootters, Phys. Rev. Lett. 70, 1895 (1993)ADSCrossRefzbMATHMathSciNetGoogle Scholar
  2. 2.
    C.H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J.A. Smolin, W.K. Wootters, Phys. Rev. Lett. 76, 722 (1996)ADSCrossRefGoogle Scholar
  3. 3.
    Z.-W. Wang, X.-F. Zhou, Y.-F. Huang, Y.-S. Zhang, X.-F. Ren, G.-C. Guo, Phys. Rev. Lett. 96, 220505 (2006)ADSCrossRefGoogle Scholar
  4. 4.
    M. Koashi, N. Imoto, Phys. Rev. Lett. 77, 2137 (1996)ADSCrossRefGoogle Scholar
  5. 5.
    C.H. Bennett, Phys. Rev. Lett. 68, 3121 (1992)ADSCrossRefzbMATHMathSciNetGoogle Scholar
  6. 6.
    V. Scarani, S. Iblisdir, N. Gisin, Rev. Mod. Phys. 77, 1225 (2005)ADSCrossRefzbMATHMathSciNetGoogle Scholar
  7. 7.
    H. Fan, Y.-N. Wang, L. Jing, J.-D. Yue, H.-D. Shi, Y.-L. Zhang, L.-Z. Mu, Phys. Rep. 544, 241 (2014)ADSCrossRefMathSciNetGoogle Scholar
  8. 8.
    N.J. Cerf, J. Fiurasek, Prog. Opt. 49, 455 (2006)CrossRefGoogle Scholar
  9. 9.
    W.K. Wootters, W.H. Zurek, Nature 299, 802 (1982)ADSCrossRefGoogle Scholar
  10. 10.
    L.-M. Duan, G.-C Guo, Phys. Rev. Lett. 80, 4999 (1998)ADSCrossRefGoogle Scholar
  11. 11.
    V. Bužek, M. Hillery, Phys. Rev. A 54, 1844 (1996)ADSCrossRefMathSciNetGoogle Scholar
  12. 12.
    D. Bruß, D.P. DiVincenzo, A. Ekert, C.A. Fuchs, C. Macchiavello, J.A. Smolin, Phys. Rev. A 57, 2368 (1998)ADSCrossRefGoogle Scholar
  13. 13.
    D. Bruß, M. Cinchetti, G.M. D’Ariano, C. Macchiavello, Phys. Rev. A 62, 012302 (2000)ADSCrossRefGoogle Scholar
  14. 14.
    C.-S. Niu, R.B. Griffiths, Phys. Rev. A 60, 2764 (1999)ADSCrossRefMathSciNetGoogle Scholar
  15. 15.
    N. Gisin, S. Massar, Phys. Rev. Lett. 79, 2153 (1997)ADSCrossRefGoogle Scholar
  16. 16.
    H. Fan, K. Matsumoto, X.-B. Wang, M. Wadati, Phys. Rev. A 65, 012304 (2001)ADSCrossRefGoogle Scholar
  17. 17.
    G.M. D’Ariano, C. Macchiavello, Phys. Rev. A 67, 042306 (2003)ADSCrossRefGoogle Scholar
  18. 18.
    G.M. D’Ariano, P. Lo Presti, Phys. Rev. A 64, 042308 (2001)ADSCrossRefGoogle Scholar
  19. 19.
    K. Bartkiewicz, A. Miranowicz, Phys. Rev. A 82, 042330 (2010)ADSCrossRefGoogle Scholar
  20. 20.
    F. Anselmi, A. Chefles, M.B. Plenio, New J. Phys. 6, 164 (2004)ADSCrossRefGoogle Scholar
  21. 21.
    V. Bužek, V. Vedral, M.B. Plenio, P.L. Knight, M. Hillery, Phys. Rev. A 55, 3327 (1997)ADSCrossRefMathSciNetGoogle Scholar
  22. 22.
    S. Ghosh, G. Kar, A. Roy, Phys. Rev. A 69, 052312 (2004)ADSCrossRefMathSciNetGoogle Scholar
  23. 23.
    M. Owari, M. Hayashi, Phys. Rev. A 74, 032108 (2006)ADSCrossRefGoogle Scholar
  24. 24.
    J. Fiurášek, S. Iblisdir, S. Massar, N.J. Cerf, Phys. Rev. A 65, 040302 (2002)ADSCrossRefGoogle Scholar
  25. 25.
    W.-H. Zhang, L.-B. Yu, Z.-L. Cao, L. Ye, Phys. Rev. A 86, 022322 (2012)ADSCrossRefGoogle Scholar
  26. 26.
    Y.-N. Wang, H.-D. Shi, Z.-X. Xiong, L. Jing, X.-J. Ren, L.-Z. Mu, H. Fan, Phys. Rev. A 84, 034302 (2011)ADSCrossRefGoogle Scholar
  27. 27.
    V. Bužek, M. Hillery, Phys. Rev. A 54, 1844 (1996)ADSCrossRefMathSciNetGoogle Scholar
  28. 28.
    S. Sazim, I. Chakrabarty, A. Datta, A.K. Pati, arXiv:1308.4340 (2013)Google Scholar
  29. 29.
    L. Roa, M. Alid-Vaccarezza, C. Jara-Figueroa, A.B. Klimov, Phys. Lett. A 378, 941 (2014)ADSCrossRefzbMATHMathSciNetGoogle Scholar
  30. 30.
    T. Durt, J. Van de Putte, Int. J. Quant. Inform. 9, 3915 (2011)CrossRefGoogle Scholar
  31. 31.
    W.K. Wootters, Phys. Rev. Lett. 80, 2245 (1998)ADSCrossRefGoogle Scholar
  32. 32.
    K. Modi, A. Brodutch, H. Cable, T. Paterek, V. Verdral, Rev. Mod. Phys. 84, 1655 (2012)ADSCrossRefGoogle Scholar
  33. 33.
    H. Ollivier, W.H. Zurek, Phys. Rev. Lett. 88, 017901 (2001)ADSCrossRefGoogle Scholar
  34. 34.
    L. Henderson, V. Vedral, J. Phys. A 34, 6899 (2001)ADSCrossRefzbMATHMathSciNetGoogle Scholar
  35. 35.
    V. Coffman, J. Kundu, W.K. Wootters, Phys. Rev. A 61, 052306 (2000)ADSCrossRefGoogle Scholar
  36. 36.
    C.-S. Yu, H.-S. Song, Y.-H. Wang, Quant. Inf. Comput. 7, 584 (2007)zbMATHMathSciNetGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.School of Physics and Optoelectronic TechnologyDalian University of TechnologyDalianP.R. China

Personalised recommendations