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Multi-party quantum state sharing via various probabilistic channels

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Abstract

We present a new scheme to share an arbitrary multi-qubit state between n agents via various probabilistic channels under cooperation of m−1 controllers with a certain probability. Compared with existing ones in this literature, our scheme involves various probabilistic channels, which weakens the requirement for quantum channels. The proposed scheme is symmetric which means even though the designed receiver has no capability of adopting appropriate strategies in introducing auxiliary qubits and performing two-qubit gates, it is still possible to faithfully share a multi-qubit state with assistance of other participants. This scheme involves only single-qubit measurements, CNOT gates, and local two-qubit gates with an auxiliary qubit, which makes it more convenient for physical realization.

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References

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

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  4. Deng F.G. et al.: Symmetric multiparty-controlled teleportation of an arbitrary two-particle entanglement. Phys. Rev. A 72(2), 022338 (2005)

    Article  ADS  Google Scholar 

  5. Deng F.G. et al.: Multiparty quantum-state sharing of an arbitrary two-particle state with Einstein-Podolsky-Rosen pairs. Phys. Rev. A 72(4), 044301 (2005)

    Article  ADS  Google Scholar 

  6. Deng F.G. 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  ADS  Google Scholar 

  7. Dong L. et al.: Controlled three-party communication using GHZ-like state and imperfect Bell-state measurement. Opt. Commun. 284, 905–908 (2011)

    Article  ADS  Google Scholar 

  8. Li X.H. et al.: Efficient symmetric multiparty quantum state sharing of an arbitrary m-qubit state. J. Phys. B 39(8), 1975–1984 (2006)

    Article  ADS  Google Scholar 

  9. 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  MathSciNet  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  11. Cao Z.L., Song W.: Teleportation of a two-particle entangled state via W class states. Phys. A 347, 177–183 (2005)

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  14. Muralidharan S., Jain S., Panigrahi P.K.: Splitting of quantum information using N-qubit linear cluster states. Opt. Commun. 284, 1082–1085 (2011)

    Article  ADS  Google Scholar 

  15. 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 

  16. Chen, X.B., Ma, S.Y., Su, Y. et al.: Controlled remote state preparation of arbitrary two and three qubit states via the Brown state. Quantum Inf. Process. doi:10.1007/s11128-011-0326-y

  17. 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  Google Scholar 

  18. Shi R.H. et al.: Multi-party quantum state sharing of an arbitrary two-qubit state with Bell states. Quantum Inf. Process. 10, 231–239 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  19. Shi R.H. et al.: Asymmetric five-party quantum state sharing of an arbitrary m-qubit state. Eur. Phys. J. D 57, 287–291 (2010)

    Article  ADS  Google Scholar 

  20. Hou K. 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)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  21. Yuan, H., et al.: Optimizing resource consumption, operation complexity and efficiency in quantum state sharing. J. Phys. B At. Mol. Opt. Phys. 41(14),145506(1–6) (2008)

  22. Yang, C.P., Chu, S.I., Han, S.Y.: Efficient many-party controlled teleportation of multiqubit quantum information via entanglement. Phys. Rev. A 70(2), 022329(1–8) (2004)

  23. Shi R.H., Huang L.S., Yang W. et al.: Efficient multi-party quantum state sharing of an arbitrary two-qubit state. Opt. Commun. 283, 2762–2766 (2010)

    Article  ADS  Google Scholar 

  24. Zhang Z.J.: Controlled teleportation of an arbitrary n-qubit information using quantum secret sharing of classical message. Phys. Lett. A 352(1–2), 55–58 (2006)

    Article  ADS  MATH  Google Scholar 

  25. Jiang M.: Faithful teleportation of multi-particle states involving multi spatially remote agents via probabilistic channels. Phys. A. 390, 760–768 (2011)

    Article  Google Scholar 

  26. Gao T., Wang Z.X., Yan F.L.: Quantum logic network for probabilistic teleportation of two-particle state of general form. Chin. Phys. Lett. 20, 2094 (2003)

    Article  ADS  Google Scholar 

  27. Gao T., Yan F.L., Wang Z.X.: Quantum logic networks for probabilistic teleportation of many particle state of general form. Quantum Inf. Comput. 4, 186–195 (2004)

    MathSciNet  MATH  Google Scholar 

  28. Jiang, M. et al.: Multiple independent quantum states sharing under collaboration of agents in quantum networks. Quantum Inf. Process. doi:10.1007/s11128-011-0337-8

  29. Nie, Y.Y., Li, Y.H., Liu, J.C. et al.: Quantum information splitting of an arbitrary three-qubit state by using two four-qubit cluster states. Quantum Inf. Process. doi:10.1007/s11128-010-0196-8

  30. Jiang M. et al.: Faithful teleportation via multi-particle quantum states in a network with many agents. Quantum Inf. Process. 11(1), 23–40 (2011)

    Article  ADS  Google Scholar 

  31. Yang C.P.: A new protocol for constructing nonlocal n-qubit controlled-U gates. Phys. Lett. A 372, 2782–2786 (2008)

    Article  ADS  MATH  Google Scholar 

  32. Monz T., Kim K., Villar A.S. et al.: Realization of Universal Ion-Trap quantum computation with decoherence-free qubits. Phys. Rev. Lett. 103, 200503 (2009)

    Article  ADS  Google Scholar 

  33. Yang C.P., Han S.Y.: Realization of an n-qubit controlled-U gate with superconducting quantum interference devices or atoms in cavity QED. Phys. Rev. A 73, 032317 (2006)

    Article  ADS  Google Scholar 

  34. Yang C.P., Han S.Y.: N-qubit-controlled phase gate with superconducting quantum-interference devices coupled to a resonator. Phys. Rev. A 72, 032311 (2005)

    Article  ADS  Google Scholar 

  35. Vartiainen J.J., Möttönen M., Salomaa M.M.: Efficient decomposition of quantum gates. Phys. Rev. Lett. 92, 177902 (2004)

    Article  ADS  Google Scholar 

  36. Benjamin P. et al.: Simplifying quantum logic using higher-dimensional Hilbert spaces. Nat. Phys. 5, 134–140 (2009)

    Article  Google Scholar 

  37. Dong D., Petersen I.R.: Sliding mode control of quantum systems. New J. Phys. 11, 105033 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  38. Jiang, M. et al.: An efficient scheme for multi-party quantum state sharing via non-maximally entangled states. Chin. Sci. Bull., to appear

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Authors and Affiliations

  1. School of Electronics & Information Engineering, Soochow University, Suzhou, 215006, China

    Min Jiang

  2. Institute of Cyber-Systems and Control, State Key Laboratory of Industrial Control Technology, Zhejiang University, Hangzhou, 310027, China

    Daoyi Dong

  3. School of Engineering and Information Technology, University of New South Wales at the Australian, Defense Force Academy, Canberra, ACT, 2600, Australia

    Daoyi Dong

Authors
  1. Min Jiang
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  2. Daoyi Dong
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Correspondence to Min Jiang or Daoyi Dong.

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Jiang, M., Dong, D. Multi-party quantum state sharing via various probabilistic channels. Quantum Inf Process 12, 237–249 (2013). https://doi.org/10.1007/s11128-012-0364-0

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  • DOI: https://doi.org/10.1007/s11128-012-0364-0

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