Skip to main content
SpringerLink
Log in

An efficient scheme for five-party quantum state sharing of an arbitrary m-qubit state using multiqubit cluster states

  • Published:
Quantum Information Processing Aims and scope Submit manuscript

Abstract

We present an efficient scheme for five-party quantum state sharing (QSTS) of an arbitrary m-qubit state with multiqubit cluster states. Unlike the three-partite QSTS schemes using the same quantum channel [Phys. Rev. A 78, 062333 (2008)], our scheme for sharing of quantum information among five parties utilizing a cluster state as an entangled resource. It is found that the six-partite cluster state can be used for QSTS of an entangled state, the five-partite cluster state can be used for QSTS of an arbitrary two-qubit state and also can be used for QSTS of an arbitrary m-qubit state. It involves two-qubit Bell-basis or three-qubit GHZ-basis measurements, not multipartite joint measurements, which makes it more convenient than some previous schemes. In addition, the total efficiency really approaches the maximal value.

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. Blakley, G.R.: Safeguarding cryptographic keys. In: Proceedings of the American Federation of Information Processing 1979 National Computer Conference, vol. 48, pp. 313–317. AFIPS Press, Montvale (1979)

  2. Hillery M., Buěk V., Berthiaume A.: Quantum secret sharing. Phys. Rev. A 59(3), 1829–1834 (1999)

    Article  ADS  CAS  MathSciNet  Google Scholar 

  3. Xiao L., Long G.L., Deng F.G., Pan J.W.: Efficient multiparty quantum-secret-sharing schemes. Phys. Rev. A 69, 052307 (2004)

    Article  ADS  CAS  Google Scholar 

  4. Deng F.G., Long G.L., Zhou H.Y.: An efficient quantum secret sharing scheme with Einstein-Podolsky-Rosen pairs. Phys. Lett. A 340, 43–50 (2005)

    Article  ADS  MATH  CAS  Google Scholar 

  5. Karimipour V., Bahraminasab A., Bagherinezhad S.: Entanglement swapping of generalized cat states and secret sharing. Phys. Rev. A 65, 042320 (2002)

    Article  ADS  CAS  Google Scholar 

  6. Yang C.P., Gea-Banacloche J.: Teleportation of rotations and receiver-encoded secret sharing. J. Opt. B: Qantum Semiclassical Opt. 3(6), 407 (2001)

    Article  ADS  Google Scholar 

  7. Bandyopadhyay S.: Teleportation and secret sharing with pure entangled states. Phys. Rev. A 62, 012308 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  8. Deng F.G., Zhou H.Y., Long G.L.: Bidirectional quantum secret sharing and secret splitting with polarized single photons. Phys. Lett. A 337, 329–334 (2005)

    Article  ADS  MATH  CAS  Google Scholar 

  9. Deng F.G., Zhou P., Li X.H., Li C.Y., Zhou H.Y.: Efficient multiparty quantum secret sharing with Greenberger-Horne-Zeilinger States. Chin. Phys. Lett. 23(5), 1084–1087 (2006)

    Article  ADS  Google Scholar 

  10. Yan F.L., Gao T.: Quantum secret sharing between multiparty and multiparty without entanglement. Phys. Rev. A 72, 012304 (2005)

    Article  ADS  CAS  Google Scholar 

  11. Zhang Z.J., Li Y., Man Z.X.: Multiparty quantum secret sharing. Phys. Rev. A 71, 044301 (2005)

    Article  ADS  MathSciNet  CAS  Google Scholar 

  12. Lance A.M. et al.: Tripartite quantum state sharing. Phys. Rev. Lett. 92, 177903 (2004)

    Article  ADS  PubMed  CAS  Google Scholar 

  13. Hsu L.Y.: Quantum secret-sharing protocol based on Grover’s algorithm. Phys. Rev. A 68, 022306 (2003)

    Article  ADS  CAS  Google Scholar 

  14. Li Y.M., Zhang K.S., Peng K.C.: Multiparty secret sharing of quantum information based on entanglement swapping. Phys. Lett. A 324, 20–424 (2004)

    MathSciNet  Google Scholar 

  15. Deng F.G., Li X.H., Li C.Y., Zhou P., Zhou H.Y.: Multiparty quantum-state sharing of an arbitrary two-particle state with Einstein-Podolsky-Rosen pairs. Phys. Rev. A 72, 044301 (2005)

    Article  ADS  CAS  Google Scholar 

  16. Deng F.G., Li C.Y., Li Y.S., Zhou H.Y., Wang Y.: Symmetric multiparty-controlled teleportation of an arbitrary two-particle entanglement. Phys. Rev. A 72, 022338 (2005)

    Article  ADS  CAS  Google Scholar 

  17. Xue Z.Y., Dong P., Yi Y.-M., Cao Z.L.: Quantum state sharing via the GHZ state in cavity QED without joint measurement. Int. J. Quantum Inf. 4(5), 749–759 (2006)

    Article  MATH  Google Scholar 

  18. Li X.H., Zhou P., Li C.Y., Zhou H.Y., Deng F.G.: Efficient symmetric multiparty quantum state sharing of an arbitrary m-qubit state. J. Phys. B 39(8), 1975–1984 (2006)

    Article  ADS  CAS  Google Scholar 

  19. Man Z.X., Xia Y.J., An N.B.: Quantum state sharing of an arbitrary multi-qubit state using non-maximally entangled GHZ states. Eur. Phys. J. D 42(2), 333–340 (2007)

    Article  ADS  CAS  MathSciNet  Google Scholar 

  20. Gordon G., Rigolin G.: Generalized quantum-state sharing. Phys. Rev. A 73, 062316 (2006)

    Article  ADS  CAS  Google Scholar 

  21. Xia Y., Song J., Song H.S.: Quantum state sharing using linear optical elements. Opt. Commun. 281, 4946–4950 (2008)

    Article  ADS  CAS  Google Scholar 

  22. Li D., Xiu X.M., Guo Y.J.: Multiparty quantum state sharing of m-qubit state. Int. J. Mod. Phys. C 18(11), 1699–1706 (2007)

    Article  ADS  MATH  Google Scholar 

  23. Zheng S.B.: Splitting quantum information via W states. Phys. Rev. A 74, 054303 (2006)

    Article  ADS  CAS  Google Scholar 

  24. Wang Z.Y., Liu Y.M., Zhang Z.J.: Generalized quantum state sharing of arbitrary unknown two-qubit state. Opt. Commun. 276, 322–326 (2007)

    Article  ADS  CAS  Google Scholar 

  25. Tao Y.J., Tian D.P., Hu M.L., Qin M.: Quantum state sharing of an arbitrary qudit state by using nonmaximally generalized GHZ state. Chin. Phys. B 17(2), 624–627 (2008)

    Article  ADS  CAS  Google Scholar 

  26. Yuan H., Liu Y.M., Zhang W., Zhang Z.J.: Optimizing resource consumption, operation complexity and efficiency in quantum-state sharing. J. Phys. B 41(14), 145506 (2008)

    Article  ADS  CAS  Google Scholar 

  27. Wang T.J., Zhou H.Y., Deng F.G.: Quantum state sharing of an arbitrary m-qudit state with two-qudit entanglements and generalized Bell-state measurements. Physica A 387, 4716–4722 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  28. Muralidharan S., Panigrahi P.K.: Quantum-information splitting using multipartite cluster states. Phys. Rev. A 78, 062333 (2008)

    Article  ADS  CAS  Google Scholar 

  29. Menon, J.V., Paul, N., Karumanchi, S., Muralidhara, S., Panigrah, P.K.: Quantum tasks using six qubit cluster states. arXiv:0906.3874 (2009)

  30. Muralidharan, S., Jain, S., Panigrahi, P.K.: Splitting of quantum information using N-qubit linear cluster states. arXiv:0904.0563v2 (2010)

  31. Wang X.W.: Preparation and manipulation of W-class entangled states: applications to quantum-information processing. Int. J. Quantum. Inf. 7(2), 493–504 (2009)

    Article  MATH  Google Scholar 

  32. 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  CAS  Google Scholar 

  33. Choudhury S., Muralidharan S., Panigrahi P.K.: Quantum teleportation and state sharing using a genuinely entangled six-qubit state. J. Phys. A Math. Theor. 42, 115303 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  34. Hou K., Li Y.B, Shi S.H.: Quantum state sharing with a genuinely entangled five-qubit state and Bell-state measurements. Opt. Commun. 283, 1961–1965 (2010)

    Article  ADS  CAS  Google Scholar 

  35. Sheng Y.B., Deng F.G., Zhou H.Y.: Efficient and economic five-party quantum state sharing of an arbitrary m-qubit state. Eur. Phys. J. D 48, 279–284 (2008)

    Article  ADS  CAS  Google Scholar 

  36. Shi R.H., Huang L.S., Yang W., Zhang H.: Asymmetric five-party quantum state sharing of an arbitrary m-qubit state. Eur. Phys. J. D 57, 287–291 (2010)

    Article  ADS  CAS  Google Scholar 

  37. Shi R.H., Huang L.S., Yang W., Zhang H.: Quantum. Inf. Process. 57(2), 287–291 (2010)

    CAS  Google Scholar 

  38. Hein M., Dur W., Briegel H.J.: Entanglement properties of multipartite entangled states under the influence of decoherence. Phys. Rev. A 71, 032350 (2005)

    Article  ADS  CAS  Google Scholar 

  39. Raussendorf R., Briegel H.J.: A one-way quantum computer. Phys. Rev. Lett. 86, 5188–5191 (2001)

    Article  ADS  PubMed  CAS  Google Scholar 

  40. Lu C.Y., Zhou X.Q., Ghne O., Gao W.B., Zhang J., Yuan Z.S., Goebel A., Yang T., Pan J.W.: Experimental entanglement of six photons in graph states. Nature 3, 91–95 (2007)

    CAS  Google Scholar 

  41. Cao W.F., Yang Y.G., Wen Q.Y.: Quantum secure direct communication with cluster states. Sci. China Ser. G 53(71), 271–1275 (2010)

    Google Scholar 

  42. Hou K., Wang J., Lu Y.L., Shi S.H.: Scheme for cloning an unknown entangled state with assistance via non-maximally entangled cluster states. Int. J. Theor. Phys 48, 167–177 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  43. Ma P.C., Zhan Y.B.: Scheme for remotely preparing a four-particle entangled cluster-type state. Opt. Commun. 283(12), 2640–2643 (2010)

    Article  ADS  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics and Physics, Anhui University of Architecture, Hefei, 230601, China

    Kui Hou, Guo-Hong Liu, Xue-Yong Zhang & Shou-Qi Sheng

Authors
  1. Kui Hou
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Guo-Hong Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Xue-Yong Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Shou-Qi Sheng
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Kui Hou.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hou, K., Liu, GH., Zhang, XY. et al. An efficient scheme for five-party quantum state sharing of an arbitrary m-qubit state using multiqubit cluster states. Quantum Inf Process 10, 463–473 (2011). https://doi.org/10.1007/s11128-010-0211-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11128-010-0211-0

Keywords

Search

Navigation