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Asymmetric multi-party quantum state sharing of an arbitrary m-qubit state

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Abstract

We present a scheme for asymmetric multi-party quantum state sharing of an arbitrary m-qubit state with n agents. The sender Alice first shares m − 1 Bell states and one n + 1-particle Greenberger–Horne–Zeilinger state with n agents, where the agent Bob, who is designated to recover the original m-qubit state, just keeps m particles and other agents (all controllers) n − 1 particles, that is, each controller only holds one particle in hand. Subsequently, Alice performs m Bell-basis measurements on her 2m particles and each controller only need take a single-particle measurement on his particle with the basis X. Finally, Bob can recover the original m-qubit state with the corresponding local unitary operations according to Alice and all controllers’ measurement results. Its intrinsic efficiency for qubits approaches 100%, and the total efficiency really approaches the maximal value, which is higher than those of the known symmetric schemes.

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References

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

  2. Shamir A.: How to share a secret. Commun. ACM 22(11), 612–613 (1979)

    Article  MATH  MathSciNet  Google Scholar 

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

    Article  CAS  MathSciNet  ADS  Google Scholar 

  4. Cleve R., Gottesman D., Lo H.K.: How to share a quantum secret. Phys. Rev. Lett. 83(3), 648–651 (1999)

    Article  CAS  ADS  Google Scholar 

  5. Gottesman D.: Theory of quantum secret sharing. Phys. Rev. A 61(4), 042311-1–042311-8 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  6. Hideki I., Jörn M.Q., et al.: A Quantum information theoretical model for quantum secret sharing schemes. arXiv:quant-ph /0311136v1 (2003)

  7. Sudhir K.S., Srikanth R.: Generalized quantum secret sharing. Phys. Rev. A 71(1), 012328-1–012328-6 (2005)

    ADS  Google Scholar 

  8. Qin S.J., Gao F., Wen Q.Y., Zhu F. C.: Cryptanalysis of the Hillery–Buzek–Berthiaume quantum secret-sharing protocol. Phys. Rev. A 76(6), 062324-1–062324-7 (2007)

    Article  ADS  CAS  Google Scholar 

  9. Tittel W., Zbinden H., Gisin N.: Experimental demonstration of quantum secret sharing. Phys. Rev. A 63(4), 042301-1–042301-6 (2001)

    Article  ADS  CAS  Google Scholar 

  10. Lance A.M., Symul T., Bowen W.P., Sanders B.C., Lam P.K.: Tripartite quantum state sharing. Phys. Rev. Lett. 92(17), 177903-1–177903-4 (2004)

    Article  ADS  CAS  Google Scholar 

  11. Bandyopadhyay S.: Teleportation and secret sharing with pure entangled states. Phys. Rev. A 62((1), 012308-1–012308-7 (2000)

    MathSciNet  ADS  Google Scholar 

  12. Hsu L.Y.: Quantum secret-sharing protocol based on Grover’s algorithm. Phys. Rev. A 68(2), 022306-1–022306-4 (2003)

    Article  ADS  CAS  Google Scholar 

  13. Li Y.M., Zhang K.S., Peng K.C.: Multiparty secret sharing of quantum information based on entanglement swapping. Phys. Lett. A 324(5–6), 420–424 (2004)

    Article  MATH  CAS  MathSciNet  ADS  Google Scholar 

  14. Deng F.G., Li C.H., Li Y.S. et al.: Symmetric multiparty-controlled teleportation of an arbitrary two-particle entanglement. Phys. Rev. A 72(2), 022338-1–022338-8 (2005)

    Article  MathSciNet  ADS  CAS  Google Scholar 

  15. Deng F.G., Li X.H., Li C.Y. et al.: Multiparty quantum-state sharing of an arbitrary two-particle state with Einstein–Podolsky–Rosen pairs. Phys. Rev. A 72(4), 044301-1–044301-4 (2005)

    ADS  Google Scholar 

  16. Li X.H., Zhou P., Li C.Y. et al.: Efficient symmetric multiparty quantum state sharing of an arbitrary m-qubit state. J. Phys. B. At. Mol. Opt. Phys. 39(8), 1975–1983 (2006)

    Article  CAS  ADS  Google Scholar 

  17. Deng F.G., Li X.H., Li C.Y. et al.: Quantum state sharing of an arbitrary two-qubit state with two-photon entanglements and Bell-state measurements. Eur. Phys. J. D 39(3), 459–464 (2006)

    Article  CAS  ADS  Google Scholar 

  18. Man Z.X., Xia Y.J., An N.B.: Quantum state sharing of an arbitrary multiqubit sate using nonmaximally entangled GHZ states. Eur. Phys. J. D 42(2), 333–340 (2007)

    Article  CAS  MathSciNet  ADS  Google Scholar 

  19. Muralidharan S., Panigrahi P.K.: Quantum-information splitting using multipartite cluster states. Phys. Rev. A 78(6), 062333-1–062333-5 (2008)

    Article  ADS  CAS  Google Scholar 

  20. Liu J., Liu Y.M., Zhang Z.J.: Generalized multiparty quantum single-qutrit-state sharing. Int. J. Theor. Phys. 47(9), 2353–2362 (2008)

    Article  MATH  Google Scholar 

  21. Yuan H., Liu Y.M., Han L.F., Zhang Z.J.: Tripartite arbitrary two-qutrit quantum state sharing. Commun. Theor. Phys. 49(5), 1191–1194 (2008)

    Article  ADS  Google Scholar 

  22. Wang T.J., Zhou H.Y., Deng F.G.: Quantum state sharing of an arbitrary m-qudit state with two-qubit entanglements and generalized Bell-state measurements. Physica A 387(18), 4716–4722 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  23. 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(2), 279–284 (2008)

    Article  CAS  ADS  Google Scholar 

  24. Cabello A.: Quantum key distribution in the Holevo limit. Phys. Rev. Lett. 85(26), 5635–5638 (2000)

    Article  CAS  ADS  PubMed  Google Scholar 

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Authors and Affiliations

  1. NHPCC, School of Computer Science and Technology, USTC, Hefei, 230027, China

    Run-hua Shi, Liu-sheng Huang & Wei Yang

  2. School of Computer Science and Technology, Anhui University, Hefei, 230039, China

    Run-hua Shi & Hong Zhong

  3. Suzhou Institute for Advanced Study, USTC, Suzhou, 215123, China

    Liu-sheng Huang & Wei Yang

Authors
  1. Run-hua Shi
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  2. Liu-sheng Huang
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  3. Wei Yang
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  4. Hong Zhong
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Correspondence to Run-hua Shi.

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Shi, Rh., Huang, Ls., Yang, W. et al. Asymmetric multi-party quantum state sharing of an arbitrary m-qubit state. Quantum Inf Process 10, 53–61 (2011). https://doi.org/10.1007/s11128-010-0176-z

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  • DOI: https://doi.org/10.1007/s11128-010-0176-z

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