Skip to main content
SpringerLink
Log in

A Bidirectional Teleportation Protocol for Arbitrary Two-qubit State Under the Supervision of a Third Party

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

In this paper we introduce a controlled teleportation protocol for transferring arbitrary two-qubit states bilaterally between Alice and Bob. The bidirectional teleportation protocol is supervised by a controller Charlie. A ten-qubit entangled quantum channel shared between Alice, Bob and Charlie is utilized. The protocol depends on Bell state measurements by Alice and Bob and single-qubit measurements by Charlie.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Bennett, C.H., Brassard, G., Crepeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Teleporting an unknown quantum state via dual classical Einstein-Podolsky-Rosen channels. Phys. Rev. Lett. 70, 1895–1899 (1993)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  2. Yan, F.L., Zhang, X.Q.: A scheme for secure direct communication using EPR pairs and teleportation. Euro. Phys. J. B 41(1), 7578 (2004)

    Article  Google Scholar 

  3. Gao, T., Yan, F.L., Wang, Z.X.: Controlled quantum teleportation and secure direct communication. Chin. Phys. 14(5), 893897 (2005)

    Google Scholar 

  4. Cao, H.J., Song, H.S.: Quantum secure direct communication scheme using a W state and teleportation. Phys. Scr. 74(5), 572 (2006)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  5. Tsai, C.W., Hwang, T.: Teleportation of a pure EPR state via GHZ-like state. Int. J. Theor. Phys. 49, 19691975 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  6. Nandi, K., Mazumdar, C.: Quantum teleportation of a two qubit state using GHZ-like state. Int. J. Theor. Phys. 53, 13221324 (2014)

    Article  MATH  Google Scholar 

  7. Zhang, Q.N., Li, C.C., Li, Y.H., Nie, Y.Y.: Quantum secure direct communication based on four-qubit cluster states. Int. J. Theor. Phys. 52(1), 2227 (2013)

    MathSciNet  MATH  Google Scholar 

  8. Zhang, Z.J., Man, Z.X.: Many-agent controlled teleportation ofmulti-qubit quantum information. Phys. Lett. A 341(1), 5559 (2005)

    MathSciNet  Google Scholar 

  9. Zhang, Z.J.: Controlled teleportation of an arbitrary n-qubit quantum information using quantum secret sharing of classical message. Phys. Lett. A 352(1), 5558 (2006)

    MATH  Google Scholar 

  10. Agrawal, P., Pati, A.K.: Probabilistic quantum teleportation. Phys. Lett. A 305, 1217 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  11. Yan, F., Yan, T.: Probabilistic teleportation via a non-maximally entangled GHZ state. Chin. Sci. Bull. 55, 902–906 (2010)

    Article  Google Scholar 

  12. Huelga, S.F., Plenio, M.B., Vaccaro, J.A.: Remote control of restricted sets of operations: Teleportation of angles. Phys. Rev. A 65(4), 042316 (2002)

    Article  ADS  Google Scholar 

  13. Li, Y.H., Nie, L.P.: Bidirectional controlled teleportation by using a five-qubit composite GHZ-bell state. Int. J. Theor. Phys. 52, 1630 (2013)

    Article  MathSciNet  Google Scholar 

  14. Zha, X.W., Zou, Z.C., Qi, J.X., Song, H.Y.: Bidirectional quantum controlled teleportation via five-qubit cluster state. Int. J. Theor. Phys. 52, 1740 (2013)

    Article  MathSciNet  Google Scholar 

  15. Chitra, S., Anindita, B., Anirban, P.: Bidirectional Controlled Teleportation by Using 5-Qubit States: A Generalized View. Int. J. Theor. Phys. 52, 3790 (2013)

    Article  Google Scholar 

  16. An, Y.: Bidirectional controlled teleportation via six-qubit cluster state. Int. J. Theor. Phys. 52, 3870 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  17. Li, Y.H., Li, X.L., Sang, M.H., Nie, Y.Y., Wang, Z.S.: Bidirectional controlled quantum teleportation secure direct communication using five-qubit entangled state. Quantum Inf. Process 12, 3835 (2013)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  18. Duan, Y.J., Zha, X.W., Sun, X.M., Xia, J.F.: Bidirectional quantum controlled teleportation via a maximally seven-qubit entangled state. Int. J. Theor. Phys. 53, 26972707 (2014). doi:10.1007/s10773-014-2065-1

    MATH  Google Scholar 

  19. Chen, Y.: Bidirectional quantum controlled teleportation by using a genuine six-qubit entangled state. Int. J. Theor. Phys. 54, 269 (2015)

    Article  MATH  Google Scholar 

  20. Zhang, D., Zha, X.W., Duan, Y.J.: Bidirectional and asymmetric quantum controlled teleportation. Int. J. Theor. Phys. 54, 17111719 (2015). doi:10.1007/s10773-014-2372-6

    MATH  Google Scholar 

  21. Hong, W.Q.: Asymmetric bidirectional controlled teleportation by using a seven-qubit entangled state. Int. J. Theor. Phys. doi:10.1007/s10773-015-2671-6

  22. Howell, J.C., Bennink, R.S., Bentley, S.J., Boyd, R.W.: Realization of the Einstein-Podolsky-Rosen paradox using momentum- and position-entangled photons from spontaneous parametric down conversion. Phys. Rev. Lett. 92, 210403 (2004)

    Article  ADS  Google Scholar 

  23. Lamata, L., Len, J: Generation of bipartite spin entanglement via spin-independent scattering. Phys. Rev. A 73, 052322 (2006)

    Article  ADS  Google Scholar 

  24. Jing, J., Zhang, J., Yan, Y., Zhao, F., Xie, C., PengLanda, K.: Experimental demonstration of tripartite entanglement and controlled dense coding for continuous variables. Phys. Rev. Lett. 90, 167903 (2003)

    Article  ADS  Google Scholar 

  25. Landa, H., Retzker, A., Schaetz, T., Reznik, B.: Entanglement generation using discrete solitons in coulomb crystals. Phys. Rev. Lett. 113, 053001 (2014)

    Article  ADS  Google Scholar 

  26. Wen, Y., Wu, X., Li, R., Lin, Q., He, G.: Five-partite entanglement generation in a high-Q microresonator. Phys. Rev. A 91, 042311 (2015)

    Article  ADS  Google Scholar 

  27. Bennett, C.H., Brassard, G., Popescu, S., Schumacher, B., Smolin, J.A., Wootters, W.K.: Purification of noisy entanglement and faithful teleportation via noisy channels. Phys. Rev. Lett. 76, 722 (1996)

    Article  ADS  Google Scholar 

  28. Espoukeh, P., Pedram, P.: Quantum teleportation through noisy channels with multi-qubit GHZ states. Quantum Inf. Process 13, 1789 (2014)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  29. Knoll, L.T., Schmiegelow, C.T., Larotonda, M.A.: Noisy quantum teleportation: An experimental study on the influence of local environments. Phys. Rev. A 90, 042332 (2014)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

This work is supported by the University Grants Commission of India. The support is gratefully acknowledged. The authors greatfully acknowledge the valuable suggestion made by referee.

Author information

Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, B. Garden, Shibpur, Howrah, 711103, West Bengal, India

    Binayak S. Choudhury & Arpan Dhara

Authors
  1. Binayak S. Choudhury
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Arpan Dhara
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Arpan Dhara.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Choudhury, B.S., Dhara, A. A Bidirectional Teleportation Protocol for Arbitrary Two-qubit State Under the Supervision of a Third Party. Int J Theor Phys 55, 2275–2285 (2016). https://doi.org/10.1007/s10773-015-2865-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-015-2865-y

Keywords

Search

Navigation