Abstract
A protocol for generation of GHZ state and implementation of controlled phase gate is proposed in this paper. With the help of cross-Kerr nonlinearity, we can obtain GHZ state of photons with the successful probability of 100 % by nondemdition measurement. Moreover, a similar method can be exploited to implement the controlled phase gate with high efficiency by adding a new device.
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Karlsson, A., Bourennane, M.: Phys. Rev. A 58, 4349 (1998)
Shi, B.S., Tomita, A.: Phys. Lett. A 296, 161 (2002)
Gorbachev, V.N., Trubiko, A.T., Zhiliba, A.A.: Phys. Lett. A 314, 267 (2003)
Bužek, V., Hillery, M.: Phys. Rev. A 54, 1884 (1996)
Kempe, J.: Phys. Rev. A 60, 910 (1999)
Hillery, M., Bužek, V., Berthiaume, A.: Phys. Rev. A 59, 1829 (1999)
Xia, Y., Song, J., Song, H.S.: Appl. Phys. Lett. 92, 021127 (2008)
Xia, Y., Lu, P.M., Zeng, Y.Z.: Quantum Inf. Process. 11(2), 605 (2012)
Xia, Y., Hao, S.Y., Dong, Y.J., Song, J.: Appl. Phys. B 110(4), 551 (2013)
Sagi, Y.: Phys. Rev. A 68, 042320 (2003)
Goto, H., Ichimura, K.: Phys. Rev. A 70, 012305 (2004)
Xiao, Y.F., Zou, X.B., Guo, G.C.: Phys. Rev. A 75, 014302 (2007)
Deng, Z.J., Zhang, X.L., Wei, H., Gao, K.L., Feng, M.: Phys. Rev. A 76, 044305 (2007)
Duan, L.M., Wang, B., Kimble, H.J.: Phys. Rev. A 72, 032333 (2005)
Barenco, A., Bennett, C.H., Cleve, R., DiVincenzo, D.P., Margolus, N., Shor, P., Sleator, T., Smolin, J.A., Weinfurter, H.: Phys. Rev. A 52, 3457 (1995)
Shor, P.: In: Proceedings of the 35th Annual Symposium on the Foundations of Computer Science, pp. 124–134. IEEE Computer Society Press, Los Alamitos (1994)
Grover, L.K.: Phys. Rev. Lett. 80, 4329 (1998)
Shor, P.W.: Phys. Rev. A 52, R2493 (1995)
Steane, A.M.: Phys. Rev. Lett. 77, 793 (1996)
Song, J., Xia, Y., Song, H.S., Guo, J.L., Nie, J.: Europhys. Lett. 80, 60001 (2007)
Zheng, S.B.: Phys. Rev. A 86, 012326 (2012)
Zou, X.B., Zhang, S.L., Li, K., Guo, G.C.: Phys. Rev. A 75, 034302 (2007)
Zou, X.B., Li, K., Guo, G.C.: Phys. Rev. A 74, 044305 (2006)
Xia, Y., Song, J., Lu, P.M., Song, H.S.: J. Phys. B, At. Mol. Opt. Phys. 44, 025503 (2011)
Sheng, Y.B., Deng, F.G., Zhou, H.Y.: Phys. Rev. A 77, 042308 (2008)
Sheng, Y.B., Deng, F.G., Zhou, H.Y.: Phys. Rev. A 77, 062325 (2008)
Nemoto, K., Munro, W.J.: Phys. Lett. A 344, 104 (2005)
Lin, Q., He, B.: Phys. Rev. A 80, 042310 (2009)
Xia, Y., Song, J., Lu, P.M., Song, H.S.: J. Phys. B, At. Mol. Opt. Phys. 44, 025503 (2011)
Nemoto, K., Munro, W.J.: Phys. Rev. Lett. 93, 250502 (2004)
Wei, T.C., Barreiro, J.T., Kwiat, P.G.: Phys. Rev. A 75, 060305(R) (2007)
Barrett, S.D., Kok, P., Nemoto, K., Beausoleil, R.G., Munro, W.J., Spiller, T.P.: Phys. Rev. A 71, 060302 (2005)
Eibl, M., Bourennane, M., Kurtsiefer, C., Weinfurter, H.: Phys. Rev. Lett. 92, 077901 (2004)
Song, J., Xia, Y., Song, H.S.: Phys. Rev. A 78, 024302 (2008)
Sheng, Y.B., Deng, F.G., Long, G.L.: Phys. Rev. A 82, 032318 (2010)
Lin, Q.: J. Opt. Soc. Am. B, Opt. Phys. 30(3), 576 (2013)
Ye, X.L., Lin, Q.: J. Opt. Soc. Am. B, Opt. Phys. 29(7), 1810 (2012)
Shapiro, J.H., Razavi, M.: New J. Phys. 9, 16 (2007)
Shapiro, J.H.: Phys. Rev. A 73, 062305 (2006)
Kok, P., Munro, W.J., Nemoto, K., Ralph, T.C., Dowing, J.P., Milburn, G.J.: Rev. Mod. Phys. 79, 135 (2007)
Hofmann, H.F., Kojima, K., Takeuchi, S., Sasaki, K.: J. Opl. B 5, 218 (2003)
Kok, P., Lee, H., Dowing, J.P.: Phys. Rev. A 66, 063814 (2002)
Wittmann, C., Andersen, U.L., Takeoka, M., Sych, D., Leuchs, G.: Phys. Rev. A 81, 062338 (2010)
Pryde, G.J., O’Brien, J.L., White, A.G., Bartlett, S.D., Ralph, T.C.: Phys. Rev. Lett. 92, 190402 (2004)
Ralph, T.C., Bartlett, S.D., O’Brien, J.L., Pryde, G.J., Wiseman, H.M.: Phys. Rev. A 73, 012113 (2006)
Pryde, G.J., O’Brien, J.L., White, A.G., Ralph, T.C., Wiseman, H.M.: Phys. Rev. Lett. 94, 220405 (2005)
Acknowledgements
This work was supported by the National Natural Science Foundation of China under grant No. 11047122 and No. 11105030, the Natural Science Foundation of Fuzhou University of China under grant No. XRC-0976 and No. 2010-XQ-28, the SRTP Foundation of Fuzhou University of China under grant No. 16118, the SRTP Foundation of China under grant No. 201310386025, the funds from Education Department of Fujian Province of China under grant No. JA11005, No. JA10009 and No. JA10039, the National Natural Science Foundation of Fujian Province of China under grant Nos. 2010J01006, 2011J0101 and 2012J01269, the Foundation of Ministry of Education of China under grant No. 212085.
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Kang, YH., Xia, Y. & Lu, PM. Effective Protocol for Generation of the Greenberger-Horne-Zeilinger State and Implementation of Controlled Phase Gate with Cross-Kerr Nonlinearity. Int J Theor Phys 53, 17–27 (2014). https://doi.org/10.1007/s10773-013-1779-9
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DOI: https://doi.org/10.1007/s10773-013-1779-9