[go: up one dir, main page]
Skip to main content

Advertisement

Springer Nature Link
Log in

Simultaneous perfect teleportation of three 2-qubit states

  • Published:
Quantum Information Processing Aims and scope Submit manuscript

Abstract

In this paper we show that simultaneous transfer of certain 2-qubit states by three different senders to three different receivers is possible with the help of a single shared entanglement resource. The multi-task is accomplished through a single protocol. There is a supervisor in the type of teleportation process we present here. All the senders perform their quantum measurements in the GHZ-type basis. The protocol is substantially simplified due to the fact that in each measurement of the senders, fifty percent of the basis elements appear. This also leads to an increased efficiency of our protocol which we calculate here. The type of protocol is perfect teleportation protocol.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1

Similar content being viewed by others

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

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

    Article  ADS  MathSciNet  MATH  Google Scholar 

  2. Zhan, H.T., Yu, X.T., Xiong, P.Y., Zhang, Z.C.: Multi-hop teleportation based on W state and EPR pairs. Chin. Phys. B 25, 050305 (2016)

    Article  Google Scholar 

  3. 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 

  4. Gao, T., Yan, F.L., Wang, Z.X.: Controlled quantum teleportation and secure direct communication. Chin. Phys. B 14(5), 893–897 (2005)

    Article  Google Scholar 

  5. Yang, K., Huang, L., Yang, W., Song, F.: Quantum Teleportation via GHZ-like State. Int. J. Theor. Phys. 48, 516–521 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  6. Tsai, C.W., Hwang, T.: Teleportation of a pure EPR state via GHZ-like state. Int. J. Theor Phys 49, 1969–1975 (2010). doi:10.1007/s10773-010-0382-6

    Article  MathSciNet  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), 22–27 (2013)

    Article  MathSciNet  MATH  Google Scholar 

  8. 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, 1740–1744 (2013)

    Article  MathSciNet  Google Scholar 

  9. Kim, Y.H., Kulik, S.P., Shih, Y.: Quantum teleportation of a polarization state with a complete Bell-state measurement. Phys. Rev. Lett. 86, 1370 (2001)

    Article  ADS  Google Scholar 

  10. Shi, R., Huang, L., Yang, W.: Multi-party quantum state sharing of an arbitrary twoqubit state with Bell states. Quantum Inf. Process. 10, 231–239 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  11. Liu, J.-M., Weng, B.: Approximate teleportation of an unknown atomic state in the two-photon Jaynes–Cummings model. Phys. A: Stat. Mech. Appl. 367(15), 215–219 (2006)

    Article  Google Scholar 

  12. Changyong, C., Shaohua, L.: Approximate and conditional teleportation of an unknown atomic-entangled state without bell-state measurement. Commun. Theor. Phys. 47(2), 253–256 (2007). ISSN 0253-6102

  13. Zheng, S.B.: Scheme for approximate conditional teleportation of an unknown atomic state without the Bell-state measurement. Phys. Rev. A 69, 064302 (2004)

    Article  ADS  Google Scholar 

  14. Agrawal, P., Pati, A.K.: Probabilistic quantum teleportation. Phys. Lett. A 305, 12–17 (2002)

    Article  ADS  MathSciNet  MATH  Google Scholar 

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

    Article  Google Scholar 

  16. Zhang, Z.J., Man, Z.X.: Many-agent controlled teleportation of multi-qubit quantum information. Phys. Lett. A 341(1), 55–59 (2005)

    Article  ADS  MATH  Google Scholar 

  17. Zhang, Z.J.: Controlled teleportation of an arbitrary n-qubit quantum information using quantum secret sharing of classical message. Phys. Lett. A 352(1), 55–58 (2006)

    Article  ADS  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, 2697–2707 (2014). doi:10.1007/s10773-014-2065-1

    Article  MATH  Google Scholar 

  19. 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

  20. Karlsson, A., Bourennane, M.: Quantum teleportation using three-particle entanglement. Phys. Rev. A 58, 4394 (1998)

    Article  ADS  MathSciNet  Google Scholar 

  21. Cola, M.M., Paris, M.G.A.: Teleportation of bipartite states using a single entangled pair. Phys. Lett. A 337, 10–16 (2005)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  22. Muralidharan, S., Panigrahi, P.K.: Perfect teleportation, quantum-state sharing and superdense coding through a genuinely entangled five-qubit state. Phys. Rev. A 77, 032321 (2008)

    Article  ADS  Google Scholar 

  23. Nandi, K., Mazumdar, C.: Quantum teleportation of a two qubit state using GHZ-like state. Int. J. Theor. Phys. 53, 1322–1324 (2014)

    Article  MATH  Google Scholar 

  24. Rigolin, G.: Quantum teleportation of an arbitrary two-qubit state and its relation to multipartite entanglement. Phys. Rev. A 71, 032303 (2005)

    Article  ADS  Google Scholar 

  25. Zhu, P.H.: Perfect teleportation of an arbitrary two-qubit state via GHZ-like states. Int. J. Theor. Phys. 53, 4095–4097 (2014)

    Article  MATH  Google Scholar 

  26. Liu, J.-C., Li, Y.-H., Nie, Y.-Y.: Controlled teleportation of an arbitrary two-particle pure or mixed state by using a five-qubit cluster state. Int. J. Theor. Phys. 49, 1976–1984 (2010). doi:10.1007/s10773-010-0383-5

    Article  MathSciNet  MATH  Google Scholar 

  27. Chen, Y.: Bidirectional quantum controlled teleportation by using a genuine six-qubit entangled state. Int. J. Theor. Phys. 54, 269–272 (2015)

    Article  MATH  Google Scholar 

  28. Choudhury, S.B., 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)

    Article  MATH  Google Scholar 

  29. Li, Y.H., Nie, L.P.: Bidirectional controlled teleportation by using a five-qubit composite GHZ-bell state. Int. J. Theor. Phys. 52, 1630–1634 (2013)

    Article  MathSciNet  Google Scholar 

  30. Yang, Y.Q., Zha, X.W., Yu, Y.: Asymmetric bidirectional controlled teleportation via seven-qubit cluster state. Int. J. Theor. Phys. 55, 4197–4204 (2016)

    Article  MATH  Google Scholar 

  31. Zhang, D., Zha, X.W., Duan, Y.J.: Bidirectional and asymmetric quantum controlled teleportation. Int. J. Theor. Phys. 54, 1711–1719 (2015). doi:10.1007/s10773-014-2372-6

    Article  MATH  Google Scholar 

  32. Bouwmeester, D., Pan, J.W., Mattle, K., Eibl, M., Weinfurter, H., Zeilinger, A.: Experimental quantum teleportation. Nature 390, 575–579 (1997)

    Article  ADS  Google Scholar 

  33. Riebe, M., Hffner, H., Roos, C.F., Hnsel, W., Benhelm, J., Lancaster, G.P.T., Krber, T.W., Becher, C., Schmidt-Kaler, F., James, D.F.V., Blatt, R.: Deterministic quantum teleportation with atoms. Nature 429, 734–737 (2006)

    Article  ADS  Google Scholar 

  34. Jin, X.M., Ren, J.G., Yang, B., Yi, Z.H., Zhou, F., Xu, X.F., Wang, S.K., Yang, D., Hu, Y.F., Jiang, S., Yang, T., Yin, H., Chen, K., Peng, C.Z., Pan, J.W.: Experimental free-space quantum teleportation. Nat. Photonics 4, 376–381 (2010)

    Article  ADS  Google Scholar 

  35. Metcalf, B.J., Spring, J.B., Humphreys, P.C., Thomas-Peter, N., Barbieri, M., Kolthammer, W.S., Jin, X.M., Langford, N.K., Kundys, D., Gates, J.C., Smith, B.J., Smith, P.G.R., Walmsley, I.A.: Quantum teleportation on a photonic chip. Nat. Photonics 8, 770–774 (2014)

    Article  ADS  Google Scholar 

  36. Wang, X.L., Cai, X.D., Su, Z.E., Chen, M.C., Wu, D., Li, L., Liu, N.L., Lu, C.Y., Pan, J.W.: Quantum teleportation of multiple degrees of freedom of a single photon. Nature 518, 516–519 (2015)

    Article  ADS  Google Scholar 

  37. Li, H.Y., Nie, P.L., Li, L.X., Sang, H.M.: Asymmetric bidirectional controlled teleportation by using six-qubit cluster state. Int. J. Theor. Phys. 55, 3008–3016 (2016)

    Article  MATH  Google Scholar 

  38. Li, W., Zha, W.X., Qi, X.J.: Tripartite quantum controlled teleportation via seven-qubit cluster state. Int. J. Theor. Phys. 55, 3927–3933 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  39. Wang, X.L., Chen, L.K., Li, W., Huang, H.L., Liu, C., Chen, C., Luo, Y.H., Su, Z.E., Wu, D., Li, Z.D., Lu, H., Hu, Y., Jiang, X., Peng, C.Z., Li, L., Liu, N.L., Chen, Y.A., Lu, C.Y., Pan, J.W.: Experimental ten-photon entanglement. Phys. Rev. Lett. 117, 210502 (2016)

    Article  ADS  Google Scholar 

  40. Yuan, H., Liu, Y.M., Zhang, W., Zhang, Z.J.: Optimizing resource consumption, operation complexity and efficiency in quantum-state sharing. J. Phys. B: At. Mol. Opt. Phys. 41, 145506 (2008)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

This work is supported by the University Grants Commission of India. The valuable suggestions of the reviewers are gratefully acknowledge.

Author information

Authors and Affiliations

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

    Binayak S. Choudhury & Soumen Samanta

Authors
  1. Binayak S. Choudhury
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Soumen Samanta
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Soumen Samanta.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Choudhury, B.S., Samanta, S. Simultaneous perfect teleportation of three 2-qubit states. Quantum Inf Process 16, 230 (2017). https://doi.org/10.1007/s11128-017-1680-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11128-017-1680-1

Keywords