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Four-party deterministic operation sharing with six-qubit cluster state

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Abstract

An efficient four-party scheme is proposed for remotely sharing an arbitrary single-qubit operation by using a six-qubit cluster state as quantum channel and local operation and classical communication. Some specific discussions are made, including the issues of the scheme determinacy, the sharer symmetry, the scheme security and the essential role of quantum channel as well as the current experimental feasibility.

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References

  1. Bennett, C.H., et al.: Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels. Phys. Rev. Lett. 70, 1895 (1993)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. Bouwmeester, D., et al.: Experimental quantum teleportation. Nature 390, 575 (1997)

    Article  ADS  Google Scholar 

  3. Furusawa, A., et al.: Unconditional quantum teleportation. Science 282, 706 (1998)

    Article  ADS  Google Scholar 

  4. Hillery, M., Bužek, V., Berthiaume, A.: Quantum secret sharing. Phys. Rev. A 59, 1829 (1999)

    Article  MathSciNet  ADS  Google Scholar 

  5. Huelga, S.F., Vaccaro, J.A., Chefles, A.: Quantum remote control: teleportation of unitary operations. Phys. Rev. A 63, 042303 (2001)

    Article  ADS  Google Scholar 

  6. Zhang, Z.J., Cheung, C.Y.: Shared quantum remote control: quantum operation sharing. J. Phys. B 44, 165508 (2011)

    Article  ADS  Google Scholar 

  7. Wang, S.F., Liu, Y.M., Chen, J.L., Liu, X.S., Zhang, Z.J.: Deterministic single-qubit operation sharing with five-qubit cluster state. Quantum Inf. Process 12, 2497 (2013)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. Ye, B.L., Liu, Y.M., Liu, X.S., Zhang, Z.J.: Remotely sharing a single-qubit operation with a five-qubit genuine state. Chin. Phys. Lett. 30, 020301 (2013)

    Article  ADS  Google Scholar 

  9. Ji, Q.B., Liu, Y.M., Liu, X.S., Yin, X.F., Zhang, Z.J.: Single-qubit operation sharing with Bell and W product states. Commun. Theor. Phys. 60, 165 (2013)

    Article  ADS  Google Scholar 

  10. Ji, Q.B., Liu, Y.M., Yin, X.F., Liu, X.S., Zhang, Z.J.: Quantum operation sharing with symmetric and asymmetricW states. Quantum Inf. Process. 12, 2453 (2013)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  11. Liu, D.C., Liu, Y.M., Yin, X.F., Liu, X.S., Zhang, Z.J.: Generalized three-party qubit operation sharing. Int. J. Quant. Inf. 11, 1350011 (2013)

    Article  MathSciNet  Google Scholar 

  12. Liu, D.C., Liu, Y.M., Xie, C.M., Yin, X.F., Liu, X.S., Zhang, Z.J.: Shared quantum control via sharing operation on remote single qutrit. Quantum Inf. Process. 12, 3527 (2013)

  13. Briegel, H.J., Raussendorf, R.: Persistent entanglement in arrays of interacting particles. Phys. Rev. Lett. 86, 910 (2001)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  15. Paul, N., Menon, J.V., Karumanchi, S., Muralidharan, S., Panigrahi, P.K.: Quantum tasks using six qubit cluster states. Quantum Inf. Process. 10, 619 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  16. Muralidharan, S., Jain, S., Panigrahi, P.K.: Spitting of quantum information using \(N\)-qubit linear cluster states. Opt. Commun. 284, 1082 (2011)

    Article  ADS  Google Scholar 

  17. Hou, K., Liu, G.H., Zhang, X.Y., Sheng, S.Q.: An efficient scheme for five-party quantum state sharing of an arbitrary m-qubit state using multiqubit cluster states. Quantum Inf. Process. 10, 463 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  18. 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  MathSciNet  ADS  Google Scholar 

  19. Waddington, J.M., Kettlewell, J.A., Kok, P.: Cluster-state generation with aging qubits. Phys. Rev. A 88, 012330 (2013)

    Article  ADS  Google Scholar 

  20. Kalis, H., Klagges, D., et al.: Fate of the cluster state on the square lattice in a magnetic field. Phys. Rev. A 86, 022317 (2012)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  22. Zhang, Z.J., et al.: Multiparty quantum secret sharing of secure direct communication. Phys. Lett. A 342, 60 (2005)

    Article  ADS  MATH  Google Scholar 

  23. Deng, F.G., et al.: Bidirectional quantum secret sharing and secret splitting with polarized single photons. Phys. Lett. A 337, 329 (2005)

    Article  ADS  MATH  Google Scholar 

  24. Zhang, Z.J., et al.: Improving the security of multiparty quantum secret sharing against Trojan horse attack. Phys. Rev. A 72, 044302 (2005)

    Article  ADS  Google Scholar 

  25. Xiao, L., Long, G.L., et al.: Efficient multiparty quantum-secret-sharing schemes. Phys. Rev. A 69, 052307 (2004)

    Article  MathSciNet  ADS  Google Scholar 

  26. Long, G.L., Liu, X.S.: Theoretical efficient high capacity quantum key distribution scheme. Phys. Rev. A 65, 032302 (2002)

    Article  ADS  Google Scholar 

  27. Zhou, P., Li, X.H., et al.: Multiparty quantum secret sharing with pure entangled states and decoy photons. Chin. Phys. Lett. 22, 1049 (2005)

    Article  ADS  Google Scholar 

  28. Li, C.Y., Li, X.H., et al.: Efficient quantum cryptography network without entanglement and quantum memory. Chin. Phys. Lett. 23, 2896 (2006)

    Article  ADS  Google Scholar 

  29. Riebe, M., et al.: Deterministic quantum teleportation with atoms. Nature 429, 734 (2004)

    Article  ADS  Google Scholar 

  30. Barrett, M.D., et al.: Deterministic quantum teleportation with atoms. Nature 429, 737 (2004)

    Article  ADS  Google Scholar 

  31. Solano, E., Cesar, C.l., de Matos Filho R.L., Zagury, N.: Reliable teleportation in trapped ions. Eur. Phys. J. D 13, 121 (2001)

  32. Bouwmeester, D., Pan, J.W., et al.: Experimental quantum teleportation. Nature 390, 575 (1997)

    Article  ADS  Google Scholar 

  33. Boschi, D., Branca, S., Martini, F.D., Hardy, L., Popescu, S.: Experimental realization of teleporting an unknown pure quantum state via dual classical and Einstein–Podolsky–Rosen channels. Phys. Rev. Lett. 80, 1121 (1998)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  34. Ikram, M., Zhu, S.Y., Zubairy, M.S.: Quantum teleportation of an entangled state. Phys. Rev. A 62, 022307 (2000)

    Article  MathSciNet  ADS  Google Scholar 

  35. 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 

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Acknowledgments

Supported by the National Natural Science Foundation of China under Grant No. 11375011, the Natural Science Foundation of Anhui province under Grant No. 1408085MA12, the Program for Excellent Talents at the University of Guangdong province (Guangdong Teacher Letter [1010] No. 79), and the 211 Project of Anhui University.

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Authors and Affiliations

  1. School of Physics and Material Science, Anhui University, Hefei, 230039, Anhui, China

    Hang Xing, Chuanmei Xie, Qibin Ji & Zhanjun Zhang

  2. Department of Physics, Shaoguan University, Shaoguan, 512005, China

    Yimin Liu

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  1. Hang Xing
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  2. Yimin Liu
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  3. Chuanmei Xie
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  4. Qibin Ji
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  5. Zhanjun Zhang
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Correspondence to Chuanmei Xie or Zhanjun Zhang.

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Xing, H., Liu, Y., Xie, C. et al. Four-party deterministic operation sharing with six-qubit cluster state. Quantum Inf Process 13, 1553–1562 (2014). https://doi.org/10.1007/s11128-014-0750-x

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  • DOI: https://doi.org/10.1007/s11128-014-0750-x

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