Abstract
We propose a scheme for protecting and improving the fidelity of quantum telecloning over the amplitude damping (AD) channels. By using the environment-assisted measurements and weak measurement reversals (WMR), the entanglement of quantum channel among three separated participants can be recovered probabilistically. Particularly, when the strength of WMRs is equal to the damping rate of the AD channels, the fidelity of the telecloning can be restored to the maximum value with a certain successful probability.
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Zhang, Y.-J., Man, Z.-X., Zou, X.-B., Xia, Y.-J., Guo, G.-C.: J. Phys. B 43, 045502 (2010)
Hahn, E.L.: Phys. Rev. 50, 580 (1950)
Rhim, W.K., Pines, A., Waugh, J.S.: Phys. Rev. Lett. 25, 218 (1970)
Viola, L., Knill, E., Lloyd, S.: Phys. Rev. Lett. 82, 2417 (1999)
Wiseman, H.M., Milburn, G.J.: Phys. Rev. Lett. 70, 548 (1993)
Wiseman, H.M.: Phys. Rev. A 49, 2133 (1994)
Ahn, C., Doherty, A.C., Landahl, A.J.: Phys. Rev. A 65, 042301 (2002)
Khodjasteh, K., Lidar, D.A.: Phys. Rev. Lett. 95, 180501 (2005)
Ganesan, N., Tarn, T.J.: Phys. Rev. A 75, 032323 (2007)
Xue, S.-B., Wu, R.-B., Zhang, W.-M.: Phys. Rev. A 86, 052304 (2012)
Zhang, J., Liu, Y., Li, C.-W.: Phys. Rev. A 79, 052308 (2009)
Steane, A.M.: Phys. Rev. Lett. 77, 793 (1996)
Knill, E., Laflamme, R.: Phys. Rev. A 55, 900 (1997)
Caves, C.M.: J. Supercond. Nov. Magn. 12, 707 (1999)
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)
Kwiat, P.G., Berglund, A.J., Altepeter, J.B.: Science 290, 498 (2000)
Song, X.K., Zhang, H., Ai, Q.: New. J. Phys. 18, 023001 (2016)
Itano, W.M., Heinzen, D.J., Bollinger, J.J., Wineland, D.J.: Phys. Rev. A 41, 2295 (1990)
Facchi, P., Lidar, D.A., Pascazio, S.: Phys. Rev. A 69, 032314 (2004)
Maniscalco, S., Francica, F., Zaffino, R.L.: Phys. Rev. Lett. 100, 090503 (2008)
Wang, S.-C., Li, Y., Wang, X.-B.: Phys. Rev. Lett. 110, 100505 (2013)
Xu, H.S., Xu, J.: J. Opt. Soc. Am. B 29, 2074 (2012)
Bennett, C.H., Brassard, G., Popescu, S.: Phys. Rev. Lett. 76, 722 (1996)
Pan, J.-W., Gasparoni, S., Ursin, R.: Nature 423, 417 (2003)
Koashi, M., Ueda, M.: Phys. Rev. Lett. 82, 2598 (1999)
Lee, J.C., Jeong, Y.C., Kim, Y.S.: Opt. Express 19, 16309 (2011)
Li, Y.-L., Xiao, X.: Quantum Inf. Process 12, 3067 (2013)
Xiao, X., Feng, M.: Phys. Rev. A 83, 054301 (2011)
Xiao, X., Li, Y.-L.: Eur. Phys. J. D 67, 204 (2013)
Kim, Y.S., Lee, J.C., Kwon, O., Kim, Y.H.: Nat. Phys. 8, 117 (2012)
Yu, Y., Ye, L.: Quantum Inf. Process 14, 321 (2015)
Xiao, X., Yao, Y., Xie, Y.-M., Wang, X.H., Li, Y.-L.: Quantum Inf. Process 15, 3381 (2016)
Xu, S., He, J., Song, X.-K., Shi, J.-D., Ye, L.: Quantum Inf. Process 14, 755 (2015)
Gregoratti, M., Werner, R.F.: J. Mod. Opt. 50, 915 (2003)
Trendelkamp-Schroer, B., Helm, J., Strunz, W.T.: Phys. Rev. A 84, 062314 (2011)
Memarzadeh, L., Cafaro, C., Mancini, S.: J. Phys. A: Math. Theor. 44, 045304 (2011)
Buscemi, F., Chiribella, G., D’Ariano, G.M.: Phys. Rev. Lett. 95, 090501 (2005)
Buscemi, F.: Phys. Lett. A 360, 256 (2006)
Taghavi, S., Brun, T.A., Lidar, D.A.: Phys. Rev. A 82, 042321 (2010)
Wang, K., Zhao, X.-Y., Yu, T.: Phys. Rev. A 89, 042320 (2014)
Xu, X.-M., Cheng, L.-Y., Liu, A.-P., Su, S.-L., Wang, H.-F., Zhang, S.: Quantum Inf. Process 14, 4147 (2015)
Murao, M., Jonathan, D., Plenio, M.B., Verdal, V.: Phys. Rev. A 59, 156 (1999)
Meng, F.-Y., Zhu, A.-D.: J. Phys. B: At. Mol. Opt. Phys. 41, 205502 (1999)
Zhang, W.-H., Yu, L.-B., Cao, Z.-L., Ye, L.: Phys. Rev. A 86, 022322 (2012)
Murao, M., Plenio, M.B., Vederal, V.: Phys. Rev. A 61, 032311 (2000)
Vidal, G., Werner, R.F.: Phys. Rev. A 65, 032314 (2002)
Werner, R.F.: Phys. Rev. A 58, 1827 (1998)
Durt, T., Fiurášek, J., Cerf, N.J.: Phys. Rev. A 72, 052322 (2005)
Meng, F.-Y., Zhu, A.-D., Yeon, K.H., Yu, S.-C.: J. Phys. B 42, 165504 (2009)
Cummins, H.K., Jones, C., Furze, A., Soffe, N.F., Mosca, M., Peach, J.M., Jones, J.A.: Phys. Rev. Lett. 88, 187901 (2002)
Chen, H.-W., Lu, D.-W., Chong, B., Qin, G., Zhou, X.-Y., Peng, X.-H., Du, J.-F.: Phys. Rev. Lett. 106, 180404 (2011)
Nielson, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, London (2000)
Almeida, M.P., de Melo, F., Hor-Meyll, M., Salles, A., Walborn, S.P., Souto Ribeiro, P.H., Davidovich, L.: Science 316, 579 (2007)
Kim, Y.S., Lee, J.C., Kwon, O., Kim, Y.H.: Nat. Phys. 8, 117 (2012)
życzkowsi, K., Horodecki, P., Sanpera, A., Lewenstein, M.: Phys. Rev. A 58, 883 (1998)
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This work was supported by the National Natural Science Foundations of China under Grant Nos. 11564041, 11165015.
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Wu, HJ., Jin, Z. & Zhu, AD. Protection of Telecloning Over Noisy Channels with Environment-Assisted Measurements and Weak Measurements. Int J Theor Phys 57, 1235–1244 (2018). https://doi.org/10.1007/s10773-017-3653-7
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DOI: https://doi.org/10.1007/s10773-017-3653-7