Abstract
Based on the interference effect of indistinguishable polarized photons leaking out of separated cavities with each atom trapped in separate cavity, using quantum nondemolition detection, we propose the robust schemes for the generation of N-atom GHZ state, three-atom W state and four-atom cluster state with a certain success probability. In Lamb-Dicke limit, the schemes do not require the simultaneous click of the photon-detectors. These made the schemes more realizable in experiments. Meanwhile, the advantage of the scheme is that the fidelity of the entangled states is not affected by the atomic spontaneous, cavity decay, and imperfection of the photodetectors. The schemes would be useful steps towards long-distance quantum communication.
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D.L. Zhou, B. Sun, C.P. Sun, L. You, Phys. Rev. A 72, R040302 (2005)
X.L. Zhang, M. Feng, K.L. Gao, J. Phys. B At. Mol. Opt. Phys. 39, 3211 (2006)
J.-H. Huang, S.-Y. Zhu, Phys. Rev. A 74, 032329 (2006)
L.-M. Duan, H.J. Kimble, Phys. Rev. Lett. 90, 253601 (2003)
X.-L. Feng, Z.-M. Zhang, X.-D. Li, S.-Q. Gong, Z.-Z. Xu, Phys. Rev. Lett. 90, 217902 (2003)
X.B. Zou, K. Pahlke, W. Mathis, Phys. Rev. A 69, 052314 (2004)
S.D. Barrett, P. Kok, Phys. Rev. A 71, R060310 (2005)
Y.L. Lim, S.D. Barrett, A. Beige, P. Kok, L.C. Kwek, Phys. Rev. A 73, 012304 (2006)
Z. Zhao et al., Nature 430, 54 (2004)
P. Walther et al., Nature 434, 169 (2005)
D. Leibfried et al., Nature 438, 639 (2005)
H. Häffner et al., Nature 438, 643 (2005)
C.W. Chou et al., Nature 438, 828 (2005)
D.M. Greenberger et al., Am. J. Phys. 58, 1131 (1990)
W. Dür, G. Vidal, J.I. Cirac, Phys. Rev. A 62, 062314 (2000)
A. Karlsson, M. Bourennane, Phys. Rev. A 58, 4394 (1998)
B.S. Shi, A. Tomita, Phys. Lett. A 296, 161 (2002)
R. Cleve, D. Gottesman, H.K. Lo, Phys. Rev. Lett. 83, 648 (1999)
M. Hillery, V. Bužek, A. Berthiaume, Phys. Rev. A 59, 1829 (1999)
J. Kempe, Phys. Rev. A 60, 910 (1999)
G.A. Durkin, C. Simon, D. Bouwmeester, Phys. Rev. Lett. 88, 187902 (2002)
V.N. Gorbachev et al., Phys. Lett. A 314, 267 (2003)
V. Bužek, M. Hillery, Phys. Rev. A 54, 1844 (1996)
V. Bužek et al., Phys. Rev. A 55, 3327 (1997)
V. Bužek, S.L. Braunstein, M. Hillery, D. Bruss, Phys. Rev. A 56, 3446 (1997)
D. Bruss et al., Phys. Rev. A 57, 2368 (1998)
M. Murao, D. Jonathan, M.B. Plenio, V. Vedral, Phys. Rev. A 59, 156 (1999)
N. Gisin, S. Massar, Phys. Rev. Lett. 79, 2153 (1997)
R. Raussendorf, H.J. Briegel, Phys. Rev. Lett. 86, 5188 (2001)
S. Bose, P.L. Knight, M.B. Plenio, V. Vedral, Phys. Rev. Lett. 83, 5158 (1999)
X.L. Feng, Z.M. Zhang, X.D. Li, S.Q. Gong, Z.Z. Xu, Phys. Rev. Lett. 90, 217902 (2003)
C. Cabrillo, J.I. Cirac, P. Garcia-Fernandez, P. Zoller, Phys. Rev. A 59, 1025 (1999)
L.M. Duan, M.D. Lukin, J. Cirac, P. Zoller, Nature 414, 413 (2001)
X.B. Zou, K. Pahlke, W. Mathis, Phys. Rev. A 66, 044302 (2002)
X.B. Zou, K. Pahlke, W. Mathis, Phys. Rev. A 68, 024302 (2003)
X.B. Zou, K. Pahlke, W. Mathis, Phys. Rev. A 69, 05314 (2004)
L.-M. Duan, H.J. Kimble, Phys. Rev. Lett. 90, 253601 (2003)
C. Simon, W.T.M. Irvine, Phys. Rev. Lett. 91, 110405 (2003)
H. Mikami, Y. Li, T. Kobayashi, Phys. Rev. A 70, 052308 (2004)
Y.C. Ou et al., e-print arXiv:quant-ph/0509069, and references therein
T. Yamamoto, K. Tamaki, M. Koashi, N. Imoto, Phys. Rev. A 66, 064301 (2002)
Z.J. Deng, M. Feng, K.L. Gao, Phys. Rev. A 75, 024302 (2007)
T. Tashima, T. Wakatsuki, S.K. Özdemir, T. Yamamoto, M. Koashi, N. Imoto, Phys. Rev. Lett. 102, 130502 (2009)
Y. Xia, J. Song, H.S. Song, Appl. Phys. Lett. 92, 021127 (2008)
H.F. Wang, S. Zhang, Phys. Rev. A 79, 042336 (2009)
C.D. Fidio et al., J. Opt. B Quantum Semiclass. Opt. 5, 105 (2003)
H.F. Wang, S. Zhang, Eur. Phys. J. D 53, 359 (2009)
W.J. Munro, K. Nemoto, T.P. Spiller, New J. Phys. 7, 137 (2005)
S.G.R. Louis et al., New J. Phys. 9, 193 (2007)
C.C. Gerry, P.L. Knight, Introductory Quantum Optics (Cambridge, Cambridge University Press, 2005)
G.S. Jin, Y. Lin, B. Wu, Phys. Rev. A 75, 054302 (2007)
W. Lange, H.J. Kimble, Phys. Rev. A 61, 063817 (2000)
J. Hong, H.-W. Lee, Phys. Rev. Lett. 89, 237901 (2002)
P. Maunz et al., Phys. Rev. Lett. 94, 033002 (2003)
M. Paternostro, M.S. Kim, B.S. Ham, Phys. Rev. A 67, 023811 (2003)
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Xiong, W., Ye, L. Robust schemes for the generation of multipartite entanglement for remote atoms with cross-Kerr nonlinearity. Eur. Phys. J. D 62, 265–272 (2011). https://doi.org/10.1140/epjd/e2010-10575-2
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DOI: https://doi.org/10.1140/epjd/e2010-10575-2