International Journal of Theoretical Physics

, Volume 48, Issue 2, pp 403–408 | Cite as

A Study of the Efficiency of the Class of W-States as a Quantum Channel

Article

Abstract

Recently, a new class of W-states has been defined by Agarwal and Pati (Phys. Rev. A 74:062320, 2006) and it has been shown that they can be used as a quantum channel for teleportation and superdense coding. In this work, we identify those three-qubit states from the set of the new class of W-states which are most efficient or suitable for quantum teleportation. We show that with some probability \(|W_{1}\rangle=\frac{1}{2}(|100\rangle+|010\rangle+\sqrt{2}|001\rangle)\) is best suited for teleportation channel in the sense that it does not depend on the input state.

Keywords

W-states Entanglement swapping Teleportation 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Adesso, G., Illuminati, F.: Phys. Rev. Lett. 95, 150503 (2005) CrossRefADSGoogle Scholar
  2. 2.
    Adhikari, S.: e-print quant-ph/0802.2156 (2008)
  3. 3.
    Adhikari, S., et al.: Phys. Rev. A 77, 012337 (2008) CrossRefADSGoogle Scholar
  4. 4.
    Agarwal, P., Pati, A.K.: Phys. Rev. A 74, 062320 (2006) CrossRefADSGoogle Scholar
  5. 5.
    Bennett, C.H., Brassard, G.: In: Proceedings of the IEEE International Conference on Computers, System, and Signal Processing, Bangalore, India, pp. 175–179. IEEE, New York (1984) Google Scholar
  6. 6.
    Bennett, C.H., Wiesner, S.: Phys. Rev. Lett. 69, 2881 (1992) MATHCrossRefADSMathSciNetGoogle Scholar
  7. 7.
    Bennett, C.H., et al.: Phys. Rev. Lett. 70, 1895 (1993) MATHCrossRefADSMathSciNetGoogle Scholar
  8. 8.
    Bennett, C.H., et al.: Phys. Rev. Lett. 87, 077902 (2001) CrossRefADSGoogle Scholar
  9. 9.
    Biswas, A., Agarwal, G.S.: J. Mod. Opt. 51, 1627 (2004) MATHADSMathSciNetGoogle Scholar
  10. 10.
    Bouwmeester, D., et al.: Nature 390, 575 (1997) CrossRefADSGoogle Scholar
  11. 11.
    Braunstein, S.L., Kimble, H.J.: Phys. Rev. Lett. 80, 869 (1998) CrossRefADSGoogle Scholar
  12. 12.
    Braunstein, S.L., Pati, A.K.: Quantum Computation with Continuous Variables. Kluwer Academic, Dordrecht (2003) Google Scholar
  13. 13.
    Dell’Anno, F., et al.: Phys. Rev. A 76, 022301 (2007) CrossRefADSGoogle Scholar
  14. 14.
    Dur, W., et al.: Phys. Rev. A 62, 062314 (2000) CrossRefADSMathSciNetGoogle Scholar
  15. 15.
    Einstein, A., et al.: Phys. Rev. 47, 777 (1935) MATHCrossRefADSGoogle Scholar
  16. 16.
    Gorbachev, V.N., et al.: Phys. Lett. A 310, 339 (2003) MATHCrossRefADSMathSciNetGoogle Scholar
  17. 17.
    Gorbachev, V.N., et al.: Phys. Lett. A 314, 267 (2003) MATHCrossRefADSMathSciNetGoogle Scholar
  18. 18.
    Guo, G.C., Zhang, Y.-S.: Phys. Rev. A 65, 054302 (2002) CrossRefADSMathSciNetGoogle Scholar
  19. 19.
    Huelga, S.F., et al.: Phys. Rev. A 63, 042303 (2001) CrossRefADSMathSciNetGoogle Scholar
  20. 20.
    Joo, J. et al.: e-print quant-ph/0204003 (2002)
  21. 21.
    Karlsson, A., Bourennane, M.: Phys. Rev. A 58, 4394 (1998) CrossRefMathSciNetADSGoogle Scholar
  22. 22.
    Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000) MATHGoogle Scholar
  23. 23.
    Pan, J.-W., et al.: Phys. Rev. Lett. 80, 3891 (1998) MATHCrossRefMathSciNetADSGoogle Scholar
  24. 24.
    Pati, A.K.: Phys. Rev. A 63, 014320-1 (2001) ADSGoogle Scholar
  25. 25.
    Pati, A.K.: Pramana—J. Phys. 59, 217 (2002) ADSCrossRefGoogle Scholar
  26. 26.
    Shor, P.W., Preskill, J.: Phys. Rev. Lett. 85, 441 (2000) CrossRefADSGoogle Scholar
  27. 27.
    Tan, S.M.: Phys. Rev. A 60, 2752 (1999) CrossRefADSGoogle Scholar
  28. 28.
    Vaidman, L.: Phys. Rev. A 49, 1473 (1994) CrossRefADSMathSciNetGoogle Scholar
  29. 29.
    van Loock, P., Braunstein, S.L.: Phys. Rev. Lett. 87, 247901 (2001) CrossRefADSMathSciNetGoogle Scholar
  30. 30.
    Wootters, W.K.: Phys. Rev. Lett. 80, 2245 (1998) CrossRefADSGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.S.N. Bose National Centre for Basic SciencesKolkataIndia

Personalised recommendations