Advertisement

The European Physical Journal D

, Volume 41, Issue 2, pp 371–375 | Cite as

Three-party qutrit-state sharing

  • Z.-Y. Wang
  • H. Yuan
  • S.-H. Shi
  • Z.-J. Zhang
Quantum Optics and Quantum Information

Abstract.

A three-party scheme for securely sharing an arbitrary unknown single-qutrit state is presented. Using a generalized Greenberger-Horne-Zeilinger (GHZ) state as the quantum channel among the three parties, the quantum information (i.e. the qutrit state) from the sender can be split in such a way that the information can be recovered if and only if both receivers collaborate. A generalization of the scheme to multi-party case is also sketched.

PACS.

03.67.Hk Quantum communication 03.67.Dd Quantum cryptography 03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.) 89.70.+c Information theory and communication theory 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. G.R. Blakley, in Proceedings of the American Federation of Information Processing 1979 National Computer Conference (American Federation of Information Processing, Arlington, VA, 1979), pp. 313-317; A. Shamir, Commun. ACM 22, 612 (1979) CrossRefGoogle Scholar
  2. M. Hillery, V. Buzek, A. Berthiaume, Phys. Rev. A 59, 1829 (1999) CrossRefMathSciNetADSGoogle Scholar
  3. A. Karlsson, M. Koashi, N. Imoto, Phys. Rev. A 59, 162 (1999) CrossRefADSGoogle Scholar
  4. D. Gottesman, Phys. Rev. A 61, 042311 (2000) CrossRefMathSciNetADSGoogle Scholar
  5. W. Tittel, H. Zbinden, N. Gisin, Phys. Rev. A 63, 042301 (2001) CrossRefADSGoogle Scholar
  6. V. Karimipour, A. Bahraminasab, S. Bagherinezhad, Phys. Rev. A 65, 042320 (2002) CrossRefADSGoogle Scholar
  7. H.F. Chau, Phys. Rev. A 66, 060302 (2002) CrossRefADSGoogle Scholar
  8. S. Bagherinezhad, V. Karimipour, Phys. Rev. A 67, 044302 (2003) CrossRefADSGoogle Scholar
  9. G.P. Guo, G.C. Guo, Phys. Lett. A 310, 247 (2003) CrossRefMathSciNetADSGoogle Scholar
  10. L. Xiao, G.L. Long, F.G. Deng, J.W. Pan, Phys. Rev. A 69, 052307 (2004) CrossRefADSGoogle Scholar
  11. S.K. Singh, Phys. Rev. A 71, 012328 (2005) CrossRefMathSciNetADSGoogle Scholar
  12. Z.J. Zhang, Phys. Lett. A 342, 60 (2005) CrossRefADSGoogle Scholar
  13. Z.J. Zhang, Z.X. Man, Phys. Rev. A 72, 022303 (2005) CrossRefMathSciNetADSGoogle Scholar
  14. Z.J. Zhang et al., Phys. Rev. A 71, 044301 (2005); Z.J. Zhang et al., Chin. Phys. Lett. 22 1588 (2005) CrossRefMathSciNetADSGoogle Scholar
  15. R. Cleve, D. Gottesman, H.K. Lo, Phys. Rev. Lett. 83, 648 (1999) CrossRefADSGoogle Scholar
  16. S. Bandyopadhyay, Phys. Rev. A 62, 012308 (2000) CrossRefMathSciNetADSGoogle Scholar
  17. L.Y. Hsu, Phys. Rev. A 68, 022306 (2003); L.Y. Hsu, C.M. Li, Phys. Rev. A 71, 022321 (2005) CrossRefADSGoogle Scholar
  18. Y.M. Li, K.S. Zhang, K.C. Peng, Phys. Lett. A 324, 420 (2004) CrossRefMathSciNetADSGoogle Scholar
  19. A.M. Lance, T. Symul, W.P. Bowen, B.C. Sanders, P.K. Lam, Phys. Rev. Lett. 92, 177903 (2004) CrossRefADSGoogle Scholar
  20. F.G. Deng et al., Phys. Lett. A 337, 329 (2005); F.G. Deng, X.H. Li, H.Y. Zhou, Z.J. Zhang, Phys. Rev. A 72, 044302 (2005) CrossRefGoogle Scholar
  21. Y.Q. Zhang, X.R. Jin, S. Zhang, Phys. Lett. A 341, 380 (2005) CrossRefADSGoogle Scholar
  22. Z.J. Zhang, Opt. Commun. 261, 199 (2006) CrossRefADSGoogle Scholar
  23. Z.J. Zhang et al., Eur. Phys. J. D 33, 133 (2005) CrossRefADSGoogle Scholar
  24. A.M. Lance et al., Phys. Rev. A 71, 033814 (2005) CrossRefADSGoogle Scholar
  25. F.G. Deng et al., Phys. Rev. A 72, 044301 (2005) CrossRefADSGoogle Scholar
  26. F.G. Deng, X.H. Li, C.Y. Li, P. Zhou, H.Y. Zhou, e-print arXiv:quant-ph/0509029 Google Scholar
  27. X.H. Li et al., J. Phys. B 39, 1975 (2006) CrossRefADSGoogle Scholar
  28. G. Gordon, G. Rigolin, Phys. Rev. A 73, 062316 (2006) CrossRefADSGoogle Scholar
  29. C.H. Bennett, D.P. DiVincenzo, J.A. Smolin, W.K. Wootters, Phys. Rev. A 54, 3824 (1996) CrossRefMathSciNetADSGoogle Scholar
  30. C.H. Bennett, G. Brassard, C. Crepeau, R. Jozsa, A. Peres, W.K. Wootters, Phys. Rev. Lett. 70, 1895 (1993) CrossRefMathSciNetADSGoogle Scholar
  31. H.J. Briegel, W. Dur, J.I. Cirac, P. Zoller, Phys. Rev. Lett. 81, 5932 (1998) CrossRefADSGoogle Scholar
  32. W. Dur, H.J. Briegel, J.I. Cirac, P. Zoller, Phys. Rev. A 59, 169 (1998) CrossRefADSGoogle Scholar
  33. H.K. Lo, H.F. Chau, Science 283, 2050 (1999) CrossRefADSGoogle Scholar
  34. S.J. van Enk, J.I. Cirac, P. Zoller, Phys. Rev. Lett. 78, 4293 (1997) CrossRefADSGoogle Scholar

Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2006

Authors and Affiliations

  1. 1.School of Physics & Material Science, Anhui UniversityHefeiP.R. China

Personalised recommendations