Abstract
We present a scheme for bidirectional controlled quantum teleportation (BCQT) via a five-qutrit entangled state as the quantum channel. In this scheme, two distant parties, Alice and Bob, are not only senders but also receivers, and Alice wants to teleport an unknown single-qutrit state to Bob, at the same time, Bob wishes to teleport another arbitrary single-qutrit state, respectively. It is shown that, only if the two senders and the controller collaborate with each other, the BCQT can be completed successfully.
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Nielsen, M.A., Chuang, I.J.: Quantum computation and quantum information. Cambridge University Press, Cambridge (2000)
Mair, A., Vaziri, A., Weihs, G., Zeilinger, A.: Nature 412, 313–316 (2001)
Liu, X.S., Long, G.L., Tong, D.M., Li, F.: Phys. Rev. A 65, 022304 (2002)
Karimipour, V., Bahraminasab, A., Bagherinezhad, S.: Phys. Rev. A 65, 052331 (2002)
Son, W., Lee, J., Kim, M.S., Park, Y.J.: Phys. Rev. A 64, 064304 (2001)
Hsu, L.Y.: Phys. Lett. A 311, 459–464 (2003)
Cao, M., Zhu, S.Q.: Commun. Theor. Phys. 43, 803–805 (2005)
Yang, Y.G., Wen, Q.Y., Zhu, F.C.: Chin. Phys. 15, 907–911 (2006)
Zhan, X.G., Li, H.M., Zeng, H.S.: Chin. Phys. lett. 23, 2900–2902 (2006)
Zhan, Y.B.: Chin. Phys. 16, 2557–2562 (2007)
Zhou, P., Li, X.H., Deng, F.G., Zhou, H.Y.: J. Phys. A: Math. Thero. 40, 13121–13130 (2007)
Gulfam, Q., Rameez-ul-Islam, Ikram, M.: J. Phys. B: At. Mol. Opt. Phys. 41, 165502 (2008)
Dai, H.Y., Zhang, M., Li, C.Z.: Commun. Theor. Phys. 49, 891–894 (2008)
Shi, J., Zhan, Y.B.: Commun. Theor. Phys. 51, 1027–1032 (2009)
Al-Amri, M., Evers, J., Ikram, M., Zubairy, M.S.: J. Phys. B: At. Mol. Opt. Phys. 45, 095502 (2012)
Qurban, M., Abbas, T., Rameez-ul-islam, Ikram, M.: Int. J. Theor. Phys. 55, 2977–2988 (2016)
Bruß, D., Macchiavello, C.: Phys. Rev. Lett. 88, 127901 (2002)
Klimov, A.B., Guzmán, R., Retamal, J.C., Saavedra, C.: Phys. Rev. A 67, 062313 (2003)
Bennett, C.H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Phys. Rev. Lett. 70, 1895 (1993)
Cirac, J.I., Parkins, A.S.: Phys. Rev. A 50, R4441 (1994)
Moussa, M.H.Y.: Phys. Rev. A 55, R3287 (1997)
Li, W.L., Li, C.F., Guo, G.C.: Phys. Rev. A 61, 034301 (2000)
Lee, J., Kim, M.S.: Phys. Rev. Lett. 84, 4236 (2000)
Bowen, G., Bose, S.: Phys. Rev. Lett. 87, 267901 (2001)
Rigolin, G.: Phys. Rev. A 71, 132303 (2005)
Yeo, Y., Chua, W.K.: Phys. Rev. Lett. 96, 060502 (2006)
Gordon, G., Rigolin, G.: Phys. Rev. A 73, 042309 (2006)
Muralidharan, S., Panigrahi, P.K.: Phys. Rev. A 77, 032321 (2008)
Sun, Y., Man, Z.X., Xia, Y.J.: Chin. Phys. B 18, 1742 (2009)
Mei, F., Yu, Y.F., Zhang, Z.M.: Chin. Phys. B 19, 020308 (2010)
Wang, Z.J., Zhang, K., Fan, C.Y.: Chin. Phys. B 19, 110311 (2010)
Zhan, Y.B., Zhang, Q.Y., Wang, Y.W., Ma, P.C.: Chin. Phys. lett. 27, 010307 (2010)
Wang, M.Y., Yan, F.L.: Chin. Phys. lett. 28, 060301 (2011)
Tang, J.W., Zhao, G.X., He, X.H.: Chin. Phys. B 20, 050312 (2011)
Wang, M.Y., Yan, F.L.: Chin. Phys. B 20, 120309 (2011)
Guo, Y., Luo, X.B.: Chin. Phys. lett. 29, 060303 (2012)
Bouwmeester, D., Pan, J.W., Mattle, K., Eibl, M., Weinfurter, H., Zeilinger, A.: Natrue 390, 575–579 (1997)
Furusawa, A., Sørensen, J.L., Braunstein, S.L., Fuchs, C.A., Kimble, H.J., Polzik, E.S.: Science 282, 706–709 (1998)
Zha, X.W., Zhou, Z.C., Qi, J.X., Song, H.Y.: Int. J. Theor. Phys. 52, 1740–1744 (2013)
Li, Y.H., Nie, L.P.: Int. J. Theor. Phys. 52, 1630–1634 (2013)
Yan, A.: Int. J. Theor. Phys. 52, 3870–3873 (2013)
Shukla, C., Banerjee, A., Pathak, A.: Int. J. Theor. Phys. 52, 3790–3796 (2013)
Duan, Y.J., Zha, X.W., Sun, X.M., Xia, J.F.: Int. J. Theor. Phys. 53, 2697–2707 (2014)
Duan, Y.J., Zha, X.W.: Int. J. Theor. Phys. 53, 3780–3786 (2014)
Chen, Y.: Int. J. Theor. Phys. 54, 269–272 (2015)
Sang, M.H.: Int. J. Theor. Phys. 55, 380–383 (2016)
Sang, M.H.: Int. J. Theor. Phys. 55, 1333–1335 (2016)
Choudhury, B.S., Dhara, A.: Int. J. Theor. Phys. 55, 2272–2285 (2016)
Acknowledgements
This work was supported by National Natural Science Foundation of China (No. 11547023); Jiangsu Key Laboratory for Chemistry of Low-Dimensional Materials opening project (No.JSKC17007). Huaian 533 talent project (No.HAA201737, No.HAA201728).
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Ma, PC., Chen, GB., Li, XW. et al. Bidirectional Controlled Quantum Teleportation in the Three-dimension System. Int J Theor Phys 57, 2233–2240 (2018). https://doi.org/10.1007/s10773-018-3748-9
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DOI: https://doi.org/10.1007/s10773-018-3748-9