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Multipartite entanglement purification with quantum nondemolition detectors

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Abstract

We present a scheme for multipartite entanglement purification of quantum systems in a Greenberger-Horne-Zeilinger state with quantum nondemolition detectors (QNDs). This scheme does not require the controlled-not gates which cannot be implemented perfectly with linear optical elements at present, but QNDs based on cross-Kerr nonlinearities. It works with two steps, i.e., the bit-flipping error correction and the phase-flipping error correction. These two steps can be iterated perfectly with parity checks and simple single-photon measurements. This scheme does not require the parties to possess sophisticated single photon detectors. These features maybe make this scheme more efficient and feasible than others in practical applications.

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References

  • M.A. Nielsen, I.L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, UK, 2000)

  • A.K. Ekert, Phys. Rev. Lett. 67, 661 (1991)

    Google Scholar 

  • C.H. Bennett, G. Brassard, N.D. Mermin, Phys. Rev. Lett. 68, 557 (1992)

    Google Scholar 

  • N. Gisin, G. Ribordy, W. Tittel, H. Zbinden, Rev. Mod. Phys. 74, 145 (2002)

    Google Scholar 

  • G.L. Long, X.S. Liu, Phys. Rev. A 65, 032302 (2002)

    Google Scholar 

  • F.G. Deng, G.L. Long, Phys. Rev. A 68, 042315 (2003)

    Google Scholar 

  • C.H. Bennett, G. Brassard, C. Crepeau, R. Jozsa, A. Peres, W.K. Wootters, Phys. Rev. Lett. 70, 1895 (1993)

    Google Scholar 

  • C.H. Bennett, S.J. Wiesner, Phys. Rev. Lett. 69, 2881 (1992)

    Google Scholar 

  • X.S. Liu, G.L. Long, D.M. Tong, L. Feng, Phys. Rev. A 65, 022304 (2002)

    Google Scholar 

  • A. Grudka, A. Wójcik, Phys. Rev. A 66, 014301 (2002)

    Google Scholar 

  • A.R. Calderbank, P.W. Shor, Phys. Rev. A 54, 1098 (1996)

    Google Scholar 

  • A. Karlsson, M. Bourennane, Phys. Rev. A 58, 4394 (1998)

    Google Scholar 

  • F.G. Deng, C.Y. Li, Y.S. Li, H.Y. Zhou, Y. Wang, Phys. Rev. A 72, 022338 (2005)

    Google Scholar 

  • M. Hillery, V. Bužek, A. Berthiaume, Phys. Rev. A 59, 1829 (1999)

    Google Scholar 

  • A. Karlsson, M. Koashi, N. Imoto, Phys. Rev. A 59, 162 (1999)

    Google Scholar 

  • L. Xiao, G.L. Long, F.G. Deng, J.W. Pan, Phys. Rev. A 69, 052307 (2004)

    Google Scholar 

  • R. Cleve, D. Gottesman, H.K. Lo, Phys. Rev. Lett. 83, 648 (1999)

    Google Scholar 

  • A.M. Lance, T. Symul, W.P. Bowen, B.C. Sanders, P.K. Lam, Phys. Rev. Lett. 92, 177903 (2004)

    Google Scholar 

  • F.G. Deng, X.H. Li, C.Y. Li, P. Zhou, H.Y. Zhou, Phys. Rev. A 72, 044301 (2005)

    Google Scholar 

  • F.G. Deng, X.H. Li, C.Y. Li, P. Zhou, H.Y. Zhou, Eur. Phys. J. D 39, 459 (2006)

  • X.H. Li, P. Zhou, C.Y. Li, H.Y. Zhou, F.G. Deng, J. Phys. B 39, 1975 (2006)

  • C.H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J.A. Smolin, W.K. Wootters, Phys. Rev. Lett. 76, 722 (1996)

    Google Scholar 

  • D. Deutsch, A. Ekert, R. Jozsa, C. Macchiavello, S. Popescu, A. Sanpera, Phys. Rev. Lett. 77, 2818 (1996)

  • J.W. Pan, C. Simon, A. Zellinger, Nature 410, 1067 (2001)

    Google Scholar 

  • C. Simon, J.W. Pan, Phys. Rev. Lett. 89, 257901 (2002)

    Google Scholar 

  • Y.B. Sheng, F.G. Deng, H.Y. Zhou, Phys. Rev. A 77, 042308 (2008)

    Google Scholar 

  • M. Murao, M.B. Plenio, S. Popescu, V. Vedral, P.L. Knight, Phys. Rev. A 57, R4075 (1998)

  • M. Horodecki, P. Horodecki, Phys. Rev. A 59, 4206 (1999)

    Google Scholar 

  • Y.W. Cheong, S.W. Lee, J. Lee, H.W. Lee, Phys. Rev. A 76, 042314 (2007)

    Google Scholar 

  • C.H. Bennett, H.J. Bernstein, S. Popescu, B. Schumacher, Phys. Rev. A 53, 2046 (1996)

  • S. Bose, V. Vedral, P.L. Knight, Phys. Rev A 60, 194 (1999)

    Google Scholar 

  • B.S. Shi, Y.K. Jiang, G.C. Guo, Phys. Rev. A 62, 054301 (2000)

    Google Scholar 

  • T. Yamamoto, M. Koashi, N. Imoto, Phys. Rev. A 64, 012304 (2001)

    Google Scholar 

  • Z. Zhao, J.W. Pan, M.S. Zhan, Phys. Rev. A 64, 014301 (2001)

    Google Scholar 

  • Y.B. Sheng, F.G. Deng, H.Y. Zhou, Phys. Rev. A 77, 062325 (2008)

    Google Scholar 

  • T.B. Pittman, B.C. Jacobs, J.D. Franson, Phys. Rev. A 64, 062311 (2001)

    Google Scholar 

  • K. Nemoto, W.J. Munro, Phys. Rev. Lett. 93, 250502 (2004)

    Google Scholar 

  • S.D. Barrett, P. Kok, K. Nemoto, R.G. Beausoleil, W.J. Munro, T.P. Spiller, Phys. Rev. A 71, R060302 (2005)

  • G.J. Pryde, J.L. O’Brien, A.G. White, S.D. Bartlett, T.C. Ralph, Phys. Rev. Lett. 92, 190402 (2004)

  • T.C. Ralph, S.D. Bartlett, J.L. O’Brien, G.J. Pryde, H.M. Wiseman, Phys. Rev. A 73, 012113 (2006)

    Google Scholar 

  • G.J. Pryde, J.L. O’Brien, A.G. White, T.C. Ralph, H.M. Wiseman, Phys. Rev. Lett. 94, 220405 (2005)

    Google Scholar 

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Correspondence to F. G. Deng.

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Sheng, Y., Deng, F., Zhao, B. et al. Multipartite entanglement purification with quantum nondemolition detectors. Eur. Phys. J. D 55, 235–242 (2009). https://doi.org/10.1140/epjd/e2009-00237-y

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