Abstract
We propose a recurrence entanglement purification protocol to purify the three-qubit W-like state affected by amplitude damping, and we give an analytic expression for the protocol’s purification range. By using the protocol, we illustrate the purification for an asymmetric W state and its generalized state. Nonlocal and maximal bipartite entanglements with corresponding probabilities can be obtained as byproducts in the course of the purification. What is important is that we also show the necessity for the single-qubit operations in the purification protocol.
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C. H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J. A. Smolin and W. K. Wootters, Phys. Rev. Lett. 76, 722 (1996).
D. Deutsch, A. Ekert, R. Jozsa, C. Macchiavello, S. Popescu and A. Sanpera, Phys. Rev. Lett. 77, 2818 (1996).
C. H. Bennett, D. P. DiVincenzo, J. A. Smolin and W. K. Wootters, Phys. Rev. A. 54, 3824 (1996).
E. Isasi and D. Mundarain, Phys. Rev. A 81, 044303 (2010).
M. Czechlewski, A. Grudka, S. Ishizaka and A. Wójcik, Phys. Rev. A 80, 014303 (2009).
X. L. Feng, S. Q. Gong and Z. Z. Xu, Phys. Lett. A 271, 44 (2000).
M. Okrasa and Z. Walczak, Phys. Lett. A 372, 3136 (2008).
P. D. Chi, T. Kim and S. Lee, Phys. Lett. A 376, 143 (2012).
S. B. Zheng, Chin. Phys. B 17, 2969 (2008).
C. Kruszynska, A. Miyake, H. J. Briegel and W. Dür, Phys. Rev. A. 74, 052316 (2006).
Y. W. Cheong, S. W. Lee, J. Lee and H. W. Lee, Phys. Rev. A 76, 042314 (2007).
F. G. Deng, Phys. Rev. A 84, 052312 (2011).
S. Glancy and E. Knill, Phys. Rev. A 74, 032319 (2006).
A. Miyake and H. J. Briegel, Phys. Rev. Lett. 95, 220501 (2005).
W. Dür, G. Vidal and J. I. Cirac, Phys. Rev. A 62, 062314 (2000).
B. Fortescue and H. K. Lo, Phys. Rev. Lett. 98, 260501 (2007).
X. B. Chen, N. Zhang, S. Lin, Q. Y. Wen and F. C. Zhu, Opt. Commun. 281, 2331 (2008).
M. Y. Wang and F. L. Yan, Chin. Phys. Lett. 28, 060301 (2011).
J. Joo, Y. J. Park, S. Oh and J. Kim, New J. Phys. 5, 136 (2003).
P. Agrawal and A. Pati, Phys. Rev. A 74, 062320 (2006).
F. Mei, Y. F. Yu and Z. M. Zhang, Chin. Phys. B 19, 020308 (2010).
J. Joo, Y. J. Park, J. Lee, J. Jang and I. Kim, J. Korean Phys. Soc. 46, 763 (2005).
S. B. Zheng, Phys. Rev. A. 74, 054303 (2006).
M. A. Neilsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge 2000).
W. Dür and H. J. Briegel, Rep. Prog. Phys. 70, 1381 (2007).
D. Gonţa and P. van Loock, Phys. Rev. A 84, 042303 (2011).
Y. L. Li, M. F. Fang, X. Xiao, C. Wu and L. Z. Hou, Chin. Phys. B 19, 060306 (2010).
E. Jung et al., Phys. Rev. A 78, 012312 (2008).
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Sun, LL., Wang, HF., Zhang, S. et al. Entanglement purification for a three-qubit W-like state in amplitude damping. Journal of the Korean Physical Society 61, 1938–1943 (2012). https://doi.org/10.3938/jkps.61.1938
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DOI: https://doi.org/10.3938/jkps.61.1938