Abstract
We propose an entanglement purification protocol (EPP) for ideal entangled photon sources resorting to weak cross-Kerr nonlinearities. The key element of this EPP is the quantum nondemolition detector (QND) which uses weak cross-Kerr nonlinearity effect to generate phase shifts on the coherent states conditionally. By exploiting the double cross-phase modulation (XPM) method in QND, we present an efficient EPP protocol, which reduces the requirement for coupling strength of the cross-Kerr nonlinearity medium. The proposed protocol may open up promising possibilities for the practicability of quantum information processing using weak cross-Kerr nonlinearities.
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Ekert, A., Jozsa, R.: Rev. Mod. Phys. 68, 733 (1996)
Raussendorf, R., Briegel, H.J.: Phys. Rev. Lett. 86, 5188 (2001)
Bennett, C.H., Brassard, G., Crepeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Phys. Rev. Lett. 70, 1895 (1993)
Ekert, A.K.: Phys. Rev. Lett. 67, 661 (1991)
Bennett, C.H., Brassard, G., Mermin, N.D.: Phys. Rev. Lett. 68, 557 (1992)
Long, G.L., Liu, X.S.: Phys. Rev. A 65, 032302 (2002)
Deng, F.G., Long, G.L.: Phys. Rev. A 68, 042315 (2003)
Li, X.H., Deng, F.G., Zhou, H.Y.: Phys. Rev. A 78, 022321 (2008)
Bennett, C.H., Wiesner, S.J.: Phys. Rev. Lett. 69, 2881 (1992)
Liu, X.S., Long, G.L., Tong, D.M., Li, F.: Phys. Rev. A 65, 022304 (2002)
Grudka, A., Wójcik, A.: Phys. Rev. A 66, 014301 (2002)
Deng, F.G., Long, G.L.: Phys. Rev. A 68, 042317 (2003)
Deng, F.G., Long, G.L.: Phys. Rev. A 69, 052319 (2004)
Wang, C., Deng, F.G., Li, Y.S., Liu, X.S., Long, G.L.: Phys. Rev. A 71, 044305 (2005)
Wang, C., Deng, F.G., Long, G.L.: Opt. Commun. 253, 15 (2005)
Li, X.H., Deng, F.G., Zhou, H.Y.: Phys. Rev. A 74, 054302 (2006)
Li, X.H., Deng, F.G., Zhou, H.Y.: Appl. Phys. Lett. 91, 144101 (2007)
Deng, F.G., Li, X.H., Zhou, H.Y.: Quantum Inf. Comput. 11, 0913 (2011)
Bennett, C.H., Brassard, G., Popescu, S., Schumacher, B., Smolin, J.A., Wootters, W.K.: Phys. Rev. Lett. 76, 722 (1996)
Deutsch, D., Ekert, A., Jozsa, R., Macchiavello, C., Popescu, S., Sanpera, A.: Phys. Rev. Lett. 77, 2818 (1996)
Briegel, H.J., Dür, W., Cirac, J.I., Zoller, P.: Phys. Rev. Lett. 81, 5932 (2000)
Pan, J.W., Simon, C., Zellinger, A.: Nature 410, 1067 (2001)
Pan, J.W., Gasparonl, S., Ursin, R., Weihs, G., Zellinger, A.: Nature 423, 417 (2003)
Simon, C., Pan, J.W.: Phys. Rev. Lett. 89, 257901 (2002)
Sheng, Y.B., Deng, F.G.: Phys. Rev. A 82, 044305 (2010)
Deng, F.G.: Phys. Rev. A 83, 062316 (2011)
Sheng, Y.B., Long, G.L., Deng, F.G.: Phys. Lett. A 376, 314–319 (2012)
Li, X.H.: Phys. Rev. A 82, 044304 (2010)
Nemoto, K., Munro, W.J.: Phys. Rev. Lett. 93, 250502 (2004)
Lin, Q., He, B.: Phys. Rev. A 80, 042310 (2009)
Lin, Q., He, B.: Phys. Rev. A 80, 062312 (2009)
Jin, G.S., Lin, Y., Wu, B.: Phys. Rev. A 75, 054302 (2007)
Gao, M., Hu, W.H., Li, C.Z.: J. Phys. B 40(17), 3525 (2007)
Barrett, S.D., Kok, P., Nemoto, K., Beausoleil, R.G., Munro, W.J., Spiller, T.P.: Phys. Rev. A 71, 060302(R) (2005)
Sheng, Y.B., Deng, F.G., Long, G.L.: Phys. Rev. A 82, 032318 (2010)
Sheng, Y.B., Deng, F.G., Zhou, H.Y.: Phys. Rev. A 77, 062325 (2008)
Sheng, Y.B., Deng, F.G., Zhou, H.Y.: Quantum Inf. Comput. 10, 272–281 (2010)
Deng, F.G.: Phys. Rev. A 85, 022311 (2012)
Du, F.F., Li, T., Ren, B.C., Wei, H.R., Deng, F.G.: J. Opt. Soc. Am. B 29, 1399–1405 (2012)
Sheng, Y.B., Deng, F.G., Zhou, H.Y.: Phys. Rev. A 77, 042308 (2008)
Sheng, Y.B., Deng, F.G., Zhao, B.K., Wang, T.J., Zhou, H.Y.: Eur. Phys. J. D 55, 235 (2009)
Sheng, Y.B., Deng, F.G.: Phys. Rev. A 81, 032307 (2010)
Wang, C., Zhang, Y., Jin, G.S.: Quantum Inf. Comput. 11, 988 (2011)
Deng, F.G.: Phys. Rev. A 84, 052312 (2011)
Kok, P., Munro, W.J., Nemoto, K., Ralph, T.C., Dowling, J.P., Milburn, G.J.: Rev. Mod. Phys. 79, 135 (2007)
Munro, W.J., Nemoto, K., Beausoleil, R.G., Spiller, T.P.: Phys. Rev. A 71, 033819 (2005)
Scully, M.O., Zubairy, M.S.: Quantum Optics. Cambridge University Press, Cambridge (1997)
He, B., Ren, Y., Bergou, J.A.: Phys. Rev. A 79, 052323 (2009)
He, B., Nadeem, M., Bergou, J.A.: Phys. Rev. A 79, 035802 (2009)
Acknowledgements
This work is supported by the National Fundamental Research Program Grant No. 2010CB923202, Specialized Research Fund for the Doctoral Program of Education Ministry of China No. 20090005120008, the Fundamental Research Funds for the Central Universities, China National Natural Science Foundation Grant Nos. 60937003, 61178010 and 61205117.
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Cao, C., Wang, C., He, Ly. et al. Polarization-Entanglement Purification for Ideal Sources Using Weak Cross-Kerr Nonlinearity. Int J Theor Phys 52, 1265–1273 (2013). https://doi.org/10.1007/s10773-012-1441-y
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DOI: https://doi.org/10.1007/s10773-012-1441-y