Abstract
The three two-level atoms, initially prepared in like-W state, interact with a common bosonic reservoir. To suppress environment decoherence and obtain much better entanglement, we firstly perform weak measurement on these atoms before they pass the reservoir, and then, when they have experienced the decoherence environment, the receiver carry out a quantum reversal on all atoms. The results show both the tripartite and bipartite entanglement can be enhanced and the post-reversal measurement is more obvious to promote atomic entanglements than the weak measurement. Increasing the strength of reversal measurement can always improve entanglement. As a price, the success probability decreases with the much greater measure strength.
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Kim, Y.H., Kulik, S.P., Shih, Y.H.: Phys. Rev. Lett. 86, 1370 (2001)
Horodecki, R., Horodecki, P., Horodecki, M., Horodecki, K.: Rev. Mod. Phys. 81, 865 (2009)
Hillery, M., Bužek, V., Berthiaume, A.: Phys. Rev. A 59, 1829 (1999)
Giovannetti, V., Lloyd, S., Maccone, L.: Nature Photon. 5, 222 (2011)
Mazzola, L., Maniscalco, S., Piilo, J., Suominen, K.A., Garraway, B.M.: Phys. Rev. A 79, 042302 (2009)
Fanchini, F.F., Werlang, T., Brasil, C.A., Arruda, L.G.E., Caldeira, A.O.: Phys. Rev. A 81, 052107 (2010)
Shor, P.W.: Phys. Rev. A 52, R2493 (1995)
Steane, A.M.: Phys. Rev. Lett. 77, 793 (1996)
Sainz, I., Bjork, G.: Phys. Rev. A 77, 052307 (2008)
Bennett, C.H., Brassard, G., Popescu, S., Schumacher, B., Smolin, J.A., Wootters, W.K.: Phys. Rev. Lett. 76, 722 (1996)
Dong, R., et al.: Nat. Phys. 4, 919 (2008)
Pan, J.W., Gasparoni, S., Ursin, R., Weihs, G., Zeilinger, A.: Nature (London) 423, 417 (2003)
Bennett, C.H., Bernstein, H.J., Popescu, S., Schumacher, B.: Phys. Rev. A 53, 2046 (1996)
Deutsch, D., Ekert, A., Jozsa, R., Macchiavello, C., Popescu, S., Sanpera, A.: Phys. Rev. Lett. 77, 2818 (1996)
Feng, X.L., Gong, S.Q., Xu, Z.Z.: Phys. Lett. A 271, 44 (2000)
Pan, J.W., Simon, C, Brukner, C, Zeilinger, A: Nature 410, 6832 (2001)
Zanardi, P., Rasetti, M.: Phys. Rev. Lett. 79, 3306 (1997)
Lidar, D.A., Chuang, I.L., Whaley, K.B.: Phys. Rev. Lett. 81, 2594 (1998)
Facchi, P., Lidar, D.A., Pascazio, S.: Phys. Rev. A 69, 032314 (2004)
Lee, J.C., Jeong, Y.C., Kim, Y.S., Kim, Y.H.: Experimental demonstration of decoherence suppression via quantum measurement reversal. Opt. Express 19, 16309 (2011)
Sun, Q., Al-Amri, M., Zubairy, M.S.: Phys. Rev. A 80, 033838 (2009)
Sun, Q., Al-Amri, M., Davidovich, L., Zubairy, M.S.: Phys.Rev. A 82, 052323 (2010)
Kim, Y.S., Lee, J.C., Kwon, O., Kim, Y.H.: Nat. Phys. 8, 117 (2012)
Korotkov, A.N., Keane, K.: Decoherence suppression by quantum measurement reversal. Phys. Rev. A 81, 040103(R) (2010)
Yu, T., Eberly, J.H.: Finite-time disentanglement via spontaneous emission. Phys. Rev. Lett. 93, 140404–1–140404-4 (2004)
Eberly, J.H., Yu, T.: The end of an entanglement. Science 316, 555–557 (2007)
Bellomo, B., Franco, R.L., Compagno, G.: Phys. Rev. A 77, 032342 (2008)
Buscemi, F., Bordone, P.: Time evolution of tripartite quantum discord and entanglement under local and nonlocal random telegraph noise. Phys. Rev. A 87, 042310 (2013)
Wootters, W.K.: Phys. Rev. Lett. 80, 2245 (1998)
Acknowledgments
This work was supported by the National Natural Science Foundation of China under Grant Nos. 61178012, the Natural Science Foundation of Heze University of China under Grant No. XY12KJ01.
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We declare that we do not have any commercial or associative interest that represents a conflict of interest in connection with the work submitted.
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Zhang, Yh., Xia, Yj. Enhancing Atomic Entanglement in a Common Reservoir by Weak Measurement and its Reversal. Int J Theor Phys 55, 137–146 (2016). https://doi.org/10.1007/s10773-015-2643-x
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DOI: https://doi.org/10.1007/s10773-015-2643-x